Finite Group Databasebeta

← #11703864

Subgroups — #11703864

Order 768.

7338 conjugacy classes of subgroups.

The subgroup lattice has 2828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#525C211yesmaximal, characteristic, complemented
2#87275C211yesmaximal, characteristic, complemented
3#87264C211yesmaximal, characteristic, complemented
4C2×#5791C211yesmaximal, characteristic, complemented
5C2×#5791C211yesmaximal, characteristic, complemented
6#86056C212yesmaximal, complemented
7#86055C212yesmaximal, complemented
8#86054C212yesmaximal, complemented
9#86053C212yesmaximal, complemented
10#86049C214yesmaximal, complemented
11#86045C214yesmaximal, complemented
12#86044C212yesmaximal, complemented
13#86042C211yesmaximal, characteristic, complemented
14#86041C211yesmaximal, characteristic, complemented
15#86040C211yesmaximal, characteristic, complemented
16#86033C212yesmaximal, complemented
17#86032C212yesmaximal, complemented
18#86029C212yesmaximal, complemented
19#86028C211yesmaximal, characteristic, complemented
20#86027C211yesmaximal, characteristic, complemented
21#86026C211yesmaximal, characteristic, complemented
22#86026C211yesmaximal, characteristic, complemented
23#86023C211yesmaximal, characteristic, complemented
24#86013C214yesmaximal, complemented
25#85991C212yesmaximal, complemented
26#85987C212yesmaximal, complemented
27#85956C212yesmaximal, complemented
28#85951C212yesmaximal, complemented
29#85921C214yesmaximal, complemented
30#85790C212yesmaximal, complemented
31#85788C212yesmaximal, complemented
32#85787C212yesmaximal, complemented
33#85767C212yesmaximal, complemented
34#85747C211yesmaximal, characteristic, complemented
35#85727C211yesmaximal, characteristic, complemented
36#62821—31nomaximal, Sylow
37C22×C3×#41C2211yescharacteristic, complemented
38C24×C3×C4C2211yescharacteristic, complemented
39C2×#1010C2211yescharacteristic, complemented
40C2×#1009C2211yescharacteristic, complemented
41C22×#235C2211yescharacteristic, complemented
42C22×#235C2211yescharacteristic, complemented
43C3×#525C2211yescharacteristic
44C3×#525C2211yescharacteristic, complemented
45C3×#525C2211yescharacteristic, complemented
46C3×#525C2211yescharacteristic, complemented
47C3×#525C2211yescharacteristic, complemented
48C3×#525C2211yescharacteristic, complemented
49C3×#525C2212yescomplemented
50C3×#525C2211yescharacteristic, complemented
51C3×#525C2212yescomplemented
52C3×#525C2212yescomplemented
53C3×#525C2212yescomplemented
54C3×#525C2211yescharacteristic, complemented
55C2×C3×#123C2212yescomplemented
56C2×C3×C22⋊Q8C2211yescharacteristic, complemented
57C2×C3×C22⋊Q8C2211yescharacteristic, complemented
58C2×C3×#121C2211yescharacteristic, complemented
59C2×C3×#121C2211yescharacteristic, complemented
60C2×C3×#120C2212yescomplemented
61C2×C3×C4×D4C2212yescomplemented
62C2×C3×C4×D4C2212yescomplemented
63C2×C3×#117C2211yescharacteristic, complemented
64C2×#953C2212yescomplemented
65C2×#953C2212yescomplemented
66#5834C2212yescomplemented
67#5833C2212yescomplemented
68#5833C2212yescomplemented
69#5833C2211yescharacteristic, complemented
70#5833C2211yescharacteristic, complemented
71#5831C2212yescomplemented
72#5830C2211yescharacteristic, complemented
73#5830C2212yescomplemented
74#5829C2214yescomplemented
75#5829C2212yescomplemented
76#5827C2211yescharacteristic, complemented
77#5827C2211yescharacteristic, complemented
78#5825C2212yescomplemented
79#5825C2211yescharacteristic, complemented
80#5824C2214yescomplemented
81#5824C2212yescomplemented
82#5817C2212yescomplemented
83Q8×#67C2212yescomplemented
84#5806C2214yescomplemented
85#5806C2214yescomplemented
86#5806C2212yescomplemented
87#5805C2214yescomplemented
88#5804C2214yescomplemented
89D4×#67C2214yescomplemented
90D4×#67C2214yescomplemented
91D4×#67C2212yescomplemented
92#5791C2211yescharacteristic
93#5791C2212yescomplemented
94#5791C2211yescharacteristic, complemented
95#5791C2211yescharacteristic, complemented
96#5791C2212yescomplemented
97#5791C2212yescomplemented
98#5791C2212yescomplemented
99#5791C2212yescomplemented
100#5791C2211yescharacteristic, complemented
101#5791C2212yescomplemented
102#5791C2211yescharacteristic, complemented
103#5791C2212yescomplemented
104#5791C2211yescharacteristic, complemented
105#5791C2212yescomplemented
106#5791C2211yescharacteristic, complemented
107#5791C2212yescomplemented
108#5791C2212yescomplemented
109#5791C2212yescomplemented
110#5791C2211yescharacteristic, complemented
111#5791C2212yescomplemented
112#5791C2212yescomplemented
113#5791C2212yescomplemented
114C2×#930C2211yescharacteristic, complemented
115C2×#930C2211yescharacteristic, complemented
116C2×#930C2211yescharacteristic, complemented
117C2×#930C2211yescharacteristic, complemented
118C2×#930C2212yescomplemented
119C2×#929C2212yescomplemented
120C2×#929C2212yescomplemented
121C2×C4×#67C2212yescomplemented
122C2×C4×#67C2212yescomplemented
123C2×C4×#67C2212yescomplemented
124C2×C4×#67C2212yescomplemented
125C2×#926C2211yescharacteristic, complemented
126C2×#926C2211yescharacteristic, complemented
127C2×#924C2211yescharacteristic, complemented
128C2×#924C2211yescharacteristic, complemented
129C2×#924C2211yescharacteristic, complemented
130C2×#924C2211yescharacteristic, complemented
131C2×#924C2212yescomplemented
132#5664C2214yescomplemented
133#5663C2214yescomplemented
134#5662C2214yescomplemented
135#5661C2214yescomplemented
136#5661C2214yescomplemented
137#5660C2214yescomplemented
138#5659C2214yescomplemented
139#5658C2214yescomplemented
140#5657C2214yescomplemented
141#5656C2214yescomplemented
142#5655C2214yescomplemented
143#5654C2214yescomplemented
144D3×#123C2214yescomplemented
145#5650C2214yescomplemented
146#5649C2214yescomplemented
147#5649C2214yescomplemented
148#5647C2214yescomplemented
149#5646C2214yescomplemented
150#5643C2212yescomplemented
151#5641C2212yescomplemented
152#5641C2212yescomplemented
153#5640C2214yescomplemented
154#5640C2214yescomplemented
155#5639C2212yescomplemented
156#5639C2212yescomplemented
157#5638C2214yescomplemented
158#5638C2214yescomplemented
159#5637C2214yescomplemented
160#5636C2214yescomplemented
161#5633C2212yescomplemented
162#5633C2212yescomplemented
163#5631C2212yescomplemented
164#5631C2212yescomplemented
165#5629C2212yescomplemented
166#5628C2212yescomplemented
167#5627C2212yescomplemented
168D3×C22⋊Q8C2212yescomplemented
169#5625C2212yescomplemented
170#5624C2212yescomplemented
171#5622C2212yescomplemented
172#5621C2214yescomplemented
173#5620C2214yescomplemented
174#5619C2212yescomplemented
175#5616C2212yescomplemented
176#5616C2212yescomplemented
177#5615C2214yescomplemented
178#5615C2214yescomplemented
179#5614C2212yescomplemented
180#5614C2212yescomplemented
181#5613C2214yescomplemented
182#5613C2214yescomplemented
183#5612C2212yescomplemented
184#5612C2212yescomplemented
185#5610C2214yescomplemented
186#5608C2212yescomplemented
187#5607C2212yescomplemented
188#5606C2212yescomplemented
189D3×#121C2212yescomplemented
190#5603C2212yescomplemented
191#5601C2214yescomplemented
192#5600C2212yescomplemented
193#5599C2212yescomplemented
194#5599C2212yescomplemented
195#5596C2212yescomplemented
196#5595C2214yescomplemented
197#5595C2214yescomplemented
198#5595C2214yescomplemented
199#5594C2214yescomplemented
200#5593C2214yescomplemented
201#5593C2214yescomplemented
202#5593C2214yescomplemented
203#5593C2214yescomplemented
204#5592C2214yescomplemented
205#5592C2214yescomplemented
206#5591C2214yescomplemented
207#5591C2214yescomplemented
208#5590C2214yescomplemented
209#5589C2214yescomplemented
210#5589C2214yescomplemented
211#5587C2214yescomplemented
212#5565C2212yescomplemented
213#5565C2212yescomplemented
214#5565C2212yescomplemented
215#5565C2212yescomplemented
216#5564C2214yescomplemented
217#5564C2214yescomplemented
218#5563C2212yescomplemented
219#5563C2212yescomplemented
220#5563C2212yescomplemented
221#5562C2214yescomplemented
222#5561C2214yescomplemented
223#5560C2214yescomplemented
224#5560C2214yescomplemented
225#5559C2214yescomplemented
226#5559C2214yescomplemented
227#5558C2214yescomplemented
228#5558C2214yescomplemented
229#5556C2214yescomplemented
230#5556C2214yescomplemented
231#5555C2212yescomplemented
232#5553C2212yescomplemented
233#5553C2212yescomplemented
234#5553C2212yescomplemented
235#5552C2212yescomplemented
236#5552C2212yescomplemented
237#5552C2212yescomplemented
238#5552C2212yescomplemented
239#5551C2212yescomplemented
240#5551C2212yescomplemented
241#5551C2212yescomplemented
242#5550C2212yescomplemented
243#5550C2212yescomplemented
244#5550C2212yescomplemented
245#5550C2212yescomplemented
246D4×D12C2212yescomplemented
247#5546C2214yescomplemented
248#5545C2214yescomplemented
249#5543C2212yescomplemented
250#5542C2212yescomplemented
251#5542C2212yescomplemented
252#5542C2212yescomplemented
253#5541C2212yescomplemented
254#5541C2212yescomplemented
255#5541C2212yescomplemented
256#5541C2212yescomplemented
257#5540C2214yescomplemented
258#5540C2214yescomplemented
259D4×Dic6C2212yescomplemented
260#5535C2212yescomplemented
261#5534C2212yescomplemented
262#5534C2212yescomplemented
263#5533C2212yescomplemented
264#5532C2212yescomplemented
265#5531C2214yescomplemented
266#5530C2212yescomplemented
267#5529C2212yescomplemented
268#5527C2214yescomplemented
269#5526C2211yescharacteristic, complemented
270#5525C2211yescharacteristic, complemented
271#5523C2211yescharacteristic, complemented
272#5523C2211yescharacteristic, complemented
273#5521C2211yescharacteristic, complemented
274#5519C2211yescharacteristic, complemented
275#5519C2211yescharacteristic, complemented
276#5518C2212yescomplemented
277#5516C2211yescharacteristic, complemented
278#5515C2214yescomplemented
279#5514C2214yescomplemented
280#5514C2212yescomplemented
281#5513C2212yescomplemented
282#5511C2214yescomplemented
283#5511C2212yescomplemented
284#5507C2212yescomplemented
285#5504C2214yescomplemented
286#5495C2214yescomplemented
287#5495C2214yescomplemented
288#5495C2214yescomplemented
289#5494C2214yescomplemented
290#5494C2214yescomplemented
291#5494C2214yescomplemented
292#5490C2214yescomplemented
293#5490C2214yescomplemented
294#5490C2214yescomplemented
295#5486C2214yescomplemented
296#5479C2212yescomplemented
297#5479C2212yescomplemented
298#5477C2212yescomplemented
299#5470C2212yescomplemented
300#3542—32no—
301#3542—32no—
302#3541—32no—
303#3541—32no—
304#3540—32no—
305#3540—32no—
306#3539—32no—
307#3539—32no—
308#3533—34no—
309#3532—34no—
310#3520—32no—
311#3520—32no—
312#3519—32no—
313#3519—32no—
314#3513—34no—
315#3513—34no—
316#3506—32no—
317#3506—32no—
318#3505—32no—
319#3505—32no—
320#3495—31no—
321#3495—31no—
322#3494—31no—
323#3494—31no—
324#3493—31no—
325#3493—31no—
326#3489—31no—
327#3489—31no—
328#3488—31no—
329#3488—31no—
330#3487—31no—
331#3485—31no—
332C2×#525—31no—
333C2×#525—31no—
334C2×#525D311yescharacteristic, complemented
335C25×C3C2311yescharacteristic
336C2×C3×#41—44no—
337C2×C3×#41C2311yescharacteristic
338C2×C3×#41C2311yescharacteristic
339C2×C3×#41C2312yes—
340C2×C3×#41C2311yescharacteristic
341C2×C3×#41C2312yes—
342C2×C3×#41C2311yescharacteristic
343C22×C3×Q8C2311yescharacteristic
344C22×C3×D4C2312yes—
345C22×C3×D4C2311yescharacteristic
346C22×C3×D4C2312yes—
347C22×C3×D4C2312yes—
348C23×C3×C4—44no—
349C23×C3×C4C2311yescharacteristic
350C23×C3×C4C2311yescharacteristic
351C23×C3×C4C2311yescharacteristic
352C23×C3×C4C2311yescharacteristic
353C23×C3×C4C2311yescharacteristic
354C23×C3×C4C2311yescharacteristic
355C23×C3×C4C2311yescharacteristic
356C23×C3×C4C2311yescharacteristic
357C23×C3×C4C2311yescharacteristic
358C23×C3×C4C2311yescharacteristic
359C23×C3×C4C2311yescharacteristic
360C23×C3×C4C2311yescharacteristic
361C23×C3×C4C2311yescharacteristic
362C23×C3×C4C2311yescharacteristic
363C23×C3×C4C2312yes—
364C22×#67C2312yes—
365C22×#67C2312yes—
366C22×#67C2314yes—
367C22×#67C2312yes—
368C22×#67C2312yes—
369C22×#67C2312yes—
370C22×#67C2312yes—
371#1010—44no—
372#1009—44no—
373C2×#239C2312yescomplemented
374C2×D3×Q8C2312yescomplemented
375C2×#237C2314yes—
376C2×#237C2314yes—
377C2×#237C2312yescomplemented
378C2×D3×D4C2314yes—
379C2×D3×D4C2314yes—
380C2×D3×D4C2312yescomplemented
381C2×#235—44no—
382C2×#235—44no—
383C2×#235C2311yescharacteristic
384C2×#235C2311yescharacteristic
385C2×#235C2312yes—
386C2×#235C2312yes—
387C2×#235C2312yes—
388C2×#235C2311yescharacteristic
389C2×#235C2312yes—
390C2×#235C2312yes—
391C2×#235C2311yescharacteristic
392C2×#235C2312yes—
393C2×#235C2314yes—
394C2×#235C2312yescomplemented
395C2×#235C2312yescomplemented
396C22×D12C2311yescharacteristic
397C22×D12C2311yescharacteristic
398C22×D12C2312yescomplemented
399C22×C4×D3C2312yes—
400C22×C4×D3C2312yes—
401C22×Dic6C2311yescharacteristic
402C22×Dic6C2311yescharacteristic
403C22×Dic6C2312yescomplemented
404C3×#123C2312yes—
405C3×#123C2312yes—
406C3×#123C2312yes—
407C3×#123C2312yes—
408C3×#123C2312yes—
409C3×#123C2312yes—
410C3×#123C2312yes—
411C3×#123C2312yes—
412C3×C22⋊Q8C2311yescharacteristic
413C3×C22⋊Q8C2311yescharacteristic
414C3×C22⋊Q8C2312yes—
415C3×C22⋊Q8C2312yes—
416C3×C22⋊Q8C2312yes—
417C3×C22⋊Q8C2311yescharacteristic
418C3×C22⋊Q8C2311yescharacteristic
419C3×C22⋊Q8C2311yescharacteristic
420C3×C22⋊Q8C2312yes—
421C3×C22⋊Q8C2311yescharacteristic
422C3×C22⋊Q8C2311yescharacteristic
423C3×C22⋊Q8C2311yescharacteristic
424C3×#121C2311yescharacteristic
425C3×#121C2311yescharacteristic
426C3×#121C2311yescharacteristic
427C3×#121C2311yescharacteristic
428C3×#121C2311yescharacteristic
429C3×#121C2312yes—
430C3×#121C2311yescharacteristic
431C3×#121C2311yescharacteristic
432C3×#121C2311yescharacteristic
433C3×#121C2312yes—
434C3×#121C2312yes—
435C3×#121C2312yes—
436C3×#120C2312yes—
437C3×#120C2312yes—
438C3×#120C2312yes—
439C3×#120C2312yes—
440C3×#120C2312yes—
441C3×#120C2312yes—
442C3×#120C2312yes—
443C3×#120C2312yes—
444C3×C4×D4C2312yes—
445C3×C4×D4C2312yes—
446C3×C4×D4C2312yes—
447C3×C4×D4C2312yes—
448C3×C4×D4C2312yes—
449C3×C4×D4C2312yes—
450C3×C4×D4C2312yes—
451C3×C4×D4C2312yes—
452C3×C4×D4C2312yes—
453C3×C4×D4C2312yes—
454C3×C4×D4C2312yes—
455C3×C4×D4C2312yes—
456C3×C4×D4C2312yes—
457C3×C4×D4C2312yes—
458C3×C4×D4C2312yes—
459C3×C4×D4C2312yes—
460C3×#117C2311yescharacteristic
461C3×#117C2312yes—
462C3×#117C2311yescharacteristic
463C3×#117C2312yes—
464C3×#117C2311yescharacteristic
465C3×#117C2311yescharacteristic
466C2×C3×C4⋊C4C2312yes—
467C2×C3×C4⋊C4C2311yescharacteristic
468C2×C3×C4⋊C4C2311yescharacteristic
469C2×C3×C4⋊C4C2312yes—
470C2×C3×C22⋊C4C2312yes—
471C2×C3×C22⋊C4C2312yes—
472C2×C3×C22⋊C4C2312yes—
473C2×C3×C22⋊C4C2312yes—
474C2×C3×C22⋊C4C2312yes—
475C2×C3×C42C2312yes—
476#953C2312yes—
477#953C2314yes—
478#953C2314yes—
479#953C2312yes—
480#953C2314yes—
481#953C2312yes—
482#953C2314yes—
483#953C2312yes—
484#953C2312yes—
485#953C2314yes—
486#953C2312yes—
487#953C2312yes—
488#953C2314yes—
489#953C2312yes—
490C2×#217C2314yes—
491C2×#217C2312yes—
492C2×#217C2312yes—
493C2×#217C2312yes—
494C2×#217C2312yes—
495C2×#217C2312yes—
496C2×#217C2312yes—
497#947C2312yescomplemented
498#947C2314yescomplemented
499#946C2314yescomplemented
500#946C2314yescomplemented
501#946C2312yescomplemented
502#946C2312yescomplemented
503Q8×Dic3C2312yescomplemented
504Q8×Dic3C2312yescomplemented
505#944C2314yescomplemented
506#944C2312yescomplemented
507#940C2314yes—
508#940C2314yes—
509#940C2314yes—
510#940C2314yes—
511#940C2312yescomplemented
512#939C2314yes—
513#939C2314yes—
514#939C2314yes—
515#939C2314yes—
516#939C2314yes—
517#939C2314yes—
518#939C2314yes—
519#939C2314yes—
520#939C2314yes—
521#939C2314yes—
522#939C2314yes—
523#939C2314yes—
524#939C2314yescomplemented
525#939C2314yescomplemented
526#938C2314yes—
527#938C2314yes—
528#938C2314yes—
529#938C2314yes—
530#938C2314yes—
531#938C2314yes—
532#938C2314yes—
533#938C2314yes—
534#938C2312yescomplemented
535#938C2312yescomplemented
536#937C2314yes—
537#937C2314yes—
538#937C2314yes—
539#937C2314yes—
540#937C2314yes—
541#937C2314yes—
542#937C2314yescomplemented
543#936C2314yes—
544#936C2314yes—
545#936C2314yes—
546#936C2314yes—
547#936C2312yescomplemented
548#935C2314yes—
549#935C2314yes—
550#935C2314yes—
551#935C2314yes—
552#935C2314yes—
553#935C2314yes—
554#935C2314yescomplemented
555D4×Dic3C2314yes—
556D4×Dic3C2314yes—
557D4×Dic3C2314yes—
558D4×Dic3C2314yes—
559D4×Dic3C2312yescomplemented
560D4×Dic3C2312yescomplemented
561#930C2312yes—
562#930C2312yes—
563#930C2312yes—
564#930C2311yescharacteristic
565#930C2312yes—
566#930C2314yes—
567#930C2311yescharacteristic
568#930C2312yes—
569#930C2314yes—
570#930C2312yes—
571#930C2312yes—
572#930C2311yescharacteristic
573#930C2312yes—
574#930C2311yescharacteristic
575#930C2312yes—
576#930C2311yescharacteristic
577#930C2311yescharacteristic
578#930C2312yes—
579#930C2311yescharacteristic
580#930C2311yescharacteristic
581#930C2312yes—
582#930C2312yes—
583#930C2314yescomplemented
584#930C2312yescomplemented
585#930C2312yescomplemented
586#930C2312yescomplemented
587#930C2312yescomplemented
588#929C2312yes—
589#929C2314yes—
590#929C2312yes—
591#929C2314yes—
592#929C2312yes—
593#929C2312yes—
594#929C2314yes—
595#929C2314yes—
596#929C2312yes—
597#929C2312yes—
598#929C2312yes—
599#929C2314yes—
600#929C2312yes—
601#929C2314yes—
602#929C2314yescomplemented
603#929C2314yescomplemented
604C4×#67C2312yes—
605C4×#67C2312yes—
606C4×#67C2314yes—
607C4×#67C2312yes—
608C4×#67C2314yes—
609C4×#67C2312yes—
610C4×#67C2312yes—
611C4×#67C2312yes—
612C4×#67C2314yes—
613C4×#67C2312yes—
614C4×#67C2314yes—
615C4×#67C2312yes—
616C4×#67C2314yes—
617C4×#67C2314yes—
618C4×#67C2312yes—
619C4×#67C2314yes—
620C4×#67C2314yes—
621C4×#67C2314yes—
622C4×#67C2312yes—
623C4×#67C2314yes—
624C4×#67C2312yes—
625C4×#67C2312yes—
626C4×#67C2312yes—
627C4×#67C2312yes—
628C4×#67C2312yes—
629C4×#67C2314yes—
630C4×#67C2314yes—
631C4×#67C2312yes—
632C4×#67C2314yescomplemented
633C4×#67C2314yescomplemented
634C2×(C2×D3)⋊C4C2312yes—
635C2×(C2×D3)⋊C4C2312yes—
636C2×(C2×D3)⋊C4C2312yes—
637C2×(C2×D3)⋊C4C2312yes—
638C2×(C2×D3)⋊C4C2314yescomplemented
639#926C2312yes—
640#926C2312yes—
641#926C2312yes—
642#926C2312yes—
643#926C2314yes—
644#926C2311yescharacteristic
645#926C2311yescharacteristic
646#926C2311yescharacteristic
647#926C2312yes—
648#926C2312yes—
649#926C2311yescharacteristic
650#926C2312yescomplemented
651#926C2312yescomplemented
652C2×C4⋊Dic3C2311yescharacteristic
653C2×C4⋊Dic3C2311yescharacteristic
654C2×C4⋊Dic3C2311yescharacteristic
655C2×C4⋊Dic3C2311yescharacteristic
656C2×C4⋊Dic3C2312yescomplemented
657C2×C4⋊Dic3C2312yescomplemented
658#924C2312yes—
659#924C2312yes—
660#924C2311yescharacteristic
661#924C2312yes—
662#924C2314yes—
663#924C2311yescharacteristic
664#924C2314yes—
665#924C2312yes—
666#924C2312yes—
667#924C2311yescharacteristic
668#924C2312yes—
669#924C2312yes—
670#924C2311yescharacteristic
671#924C2312yes—
672#924C2311yescharacteristic
673#924C2311yescharacteristic
674#924C2312yes—
675#924C2311yescharacteristic
676#924C2311yescharacteristic
677#924C2312yes—
678#924C2312yes—
679#924C2312yes—
680#924C2312yescomplemented
681#924C2312yescomplemented
682#924C2314yescomplemented
683#924C2312yescomplemented
684#924C2312yescomplemented
685C2×Dic3⋊C4C2312yes—
686C2×Dic3⋊C4C2312yes—
687C2×Dic3⋊C4C2312yes—
688C2×Dic3⋊C4C2312yes—
689C2×Dic3⋊C4C2314yescomplemented
690C2×C4×Dic3C2312yes—
691C2×C4×Dic3C2312yes—
692#898C2314yescomplemented
693#898C2314yescomplemented
694#898C2314yescomplemented
695#898C2314yescomplemented
696#898C2314yescomplemented
697#898C2314yescomplemented
698#897C2314yescomplemented
699#897C2312yescomplemented
700#897C2312yescomplemented
701#896C2314yescomplemented
702#896C2314yescomplemented
703#896C2314yescomplemented
704#896C2314yescomplemented
705#896C2314yescomplemented
706#896C2314yescomplemented
707#895C2312yescomplemented
708#895C2312yescomplemented
709#895C2314yescomplemented
710#894C2314yescomplemented
711#894C2314yescomplemented
712#894C2314yescomplemented
713#894C2314yescomplemented
714#894C2314yescomplemented
715#894C2314yescomplemented
716#893C2314yescomplemented
717#893C2314yescomplemented
718#893C2314yescomplemented
719#893C2312yescomplemented
720#893C2312yescomplemented
721#892C2314yescomplemented
722#892C2314yescomplemented
723#892C2314yescomplemented
724#892C2312yescomplemented
725#892C2312yescomplemented
726D3×C4⋊C4C2314yescomplemented
727D3×C4⋊C4C2314yescomplemented
728D3×C4⋊C4C2314yescomplemented
729D3×C4⋊C4C2312yescomplemented
730D3×C4⋊C4C2312yescomplemented
731#890C2312yescomplemented
732#890C2312yescomplemented
733#890C2314yescomplemented
734#889C2314yescomplemented
735#889C2314yescomplemented
736#889C2314yescomplemented
737#889C2314yescomplemented
738#889C2314yescomplemented
739#889C2314yescomplemented
740#888C2312yescomplemented
741#888C2312yescomplemented
742#888C2314yescomplemented
743#887C2312yescomplemented
744#887C2312yescomplemented
745#887C2314yescomplemented
746#887C2314yescomplemented
747#887C2314yescomplemented
748#886C2314yes—
749#886C2314yes—
750#886C2314yescomplemented
751#885C2314yes—
752#885C2314yes—
753#885C2314yes—
754#885C2314yes—
755#885C2314yes—
756#885C2314yes—
757#885C2314yes—
758#885C2314yes—
759#885C2314yescomplemented
760#885C2314yescomplemented
761#885C2314yescomplemented
762#885C2314yescomplemented
763#884C2314yes—
764#884C2314yes—
765#884C2314yes—
766#884C2314yes—
767#884C2314yes—
768#884C2314yes—
769#884C2314yes—
770#884C2314yes—
771#884C2314yescomplemented
772#884C2314yescomplemented
773#884C2314yescomplemented
774#884C2314yescomplemented
775#883C2314yes—
776#883C2314yes—
777#883C2314yes—
778#883C2314yes—
779#883C2314yes—
780#883C2314yes—
781#883C2314yes—
782#883C2314yes—
783#883C2314yescomplemented
784#883C2314yescomplemented
785#883C2314yescomplemented
786#883C2314yescomplemented
787#882C2314yes—
788#882C2314yes—
789#882C2314yescomplemented
790#67⋊C4C2314yes—
791#67⋊C4C2314yes—
792#67⋊C4C2314yes—
793#67⋊C4C2314yes—
794#67⋊C4C2314yescomplemented
795#67⋊C4C2314yescomplemented
796#67⋊C4C2314yescomplemented
797#67⋊C4C2314yescomplemented
798#67⋊C4C2314yescomplemented
799#67⋊C4C2314yescomplemented
800D3×C22⋊C4C2314yes—
801D3×C22⋊C4C2314yes—
802D3×C22⋊C4C2314yescomplemented
803D3×C22⋊C4C2314yescomplemented
804D3×C22⋊C4C2314yescomplemented
805#879C2314yes—
806#879C2314yes—
807#879C2314yes—
808#879C2314yes—
809#879C2314yes—
810#879C2314yes—
811#879C2314yes—
812#879C2314yes—
813#879C2314yescomplemented
814#879C2314yescomplemented
815#879C2314yescomplemented
816#879C2314yescomplemented
817#878C2314yes—
818#878C2314yes—
819#878C2314yes—
820#878C2314yes—
821#878C2314yescomplemented
822#878C2314yescomplemented
823#877C2314yes—
824#877C2314yes—
825#877C2314yescomplemented
826#877C2314yescomplemented
827#877C2314yescomplemented
828#876C2314yescomplemented
829#876C2314yescomplemented
830#875C2314yescomplemented
831#875C2312yescomplemented
832#875C2312yescomplemented
833#874C2312yescomplemented
834C4×D12C2312yescomplemented
835C4×D12C2312yescomplemented
836C4×D12C2314yescomplemented
837C4×D12C2312yescomplemented
838C4×D12C2312yescomplemented
839#872C2314yescomplemented
840#872C2314yescomplemented
841#870C2314yescomplemented
842#870C2312yescomplemented
843#870C2312yescomplemented
844#869C2312yescomplemented
845#869C2312yescomplemented
846#869C2312yescomplemented
847C4×Dic6C2312yescomplemented
848C4×Dic6C2312yescomplemented
849C4×Dic6C2314yescomplemented
850C4×Dic6C2312yescomplemented
851C4×Dic6C2312yescomplemented
852C2×2−1+4—31no—
853C2×H(5,𝔽2)—31no—
854C22×#41—31no—
855C22×#41—31no—
856C22×#41C2×D311yescharacteristic, complemented
857C24×C4C2×D311yescharacteristic, complemented
858#563—34no—
859#562—34no—
860#562—34no—
861H(3,𝔽4)—34no—
862#560—34no—
863#560—34no—
864#560—34no—
865#560—34no—
866#559—34no—
867#559—34no—
868#559—34no—
869#556—32no—
870#556—32no—
871#556—32no—
872#556—32no—
873#556—32no—
874#556—32no—
875#555—32no—
876#555—32no—
877#555—32no—
878#555—32no—
879#555—32no—
880#555—32no—
881#554—34no—
882#554—32no—
883#554—32no—
884#554—34no—
885#553—34no—
886#553—34no—
887#553—32no—
888#553—32no—
889#553—34no—
890#553—34no—
891#553—34no—
892#553—32no—
893#553—32no—
894#553—32no—
895#553—32no—
896#553—34no—
897#553—34no—
898#553—32no—
899#553—32no—
900#553—34no—
901#552—34no—
902#552—32no—
903#552—32no—
904#552—32no—
905#552—32no—
906#552—32no—
907#552—32no—
908#552—32no—
909#552—34no—
910#552—32no—
911#551—34no—
912#551—34no—
913#551—34no—
914#551—34no—
915#551—34no—
916#551—34no—
917#551—34no—
918#551—34no—
919#551—34no—
920#551—34no—
921#550—32no—
922#550—32no—
923#550—32no—
924#550—32no—
925#550—32no—
926#550—32no—
927D4×Q8—32no—
928D4×Q8—32no—
929#548—32no—
930#548—32no—
931#548—32no—
932#548—32no—
933#548—32no—
934#548—32no—
935#548—32no—
936#548—32no—
937#547—32no—
938#547—34no—
939#547—34no—
940#547—32no—
941#547—32no—
942#547—32no—
943#547—32no—
944#547—32no—
945#547—32no—
946#547—32no—
947#546—32no—
948#546—34no—
949#546—34no—
950#546—32no—
951#546—34no—
952#546—34no—
953#546—32no—
954#546—32no—
955#546—34no—
956#546—34no—
957#546—34no—
958#546—32no—
959#546—32no—
960#546—32no—
961#546—32no—
962#546—34no—
963#546—34no—
964#546—34no—
965D42—34no—
966D42—32no—
967D42—34no—
968D42—34no—
969D42—32no—
970#544—31no—
971#544—31no—
972#542—34no—
973#542—34no—
974#542—34no—
975#542—32no—
976#542—32no—
977#542—34no—
978#542—32no—
979#542—32no—
980#541—32no—
981#541—32no—
982#540—34no—
983#540—32no—
984#540—34no—
985#540—34no—
986#540—34no—
987#540—32no—
988#539—34no—
989#539—34no—
990#539—34no—
991#539—34no—
992#539—34no—
993#539—34no—
994#538—34no—
995#538—34no—
996#538—34no—
997#538—34no—
998#538—34no—
999#538—34no—
1000#538—34no—
1001#538—34no—
1002#538—34no—
1003#538—34no—
1004#538—34no—
1005#538—34no—
1006#537—31no—
1007#537—31no—
1008#537—32no—
1009#537—32no—
1010#537—32no—
1011#537—32no—
1012#536—31no—
1013#536—32no—
1014#536—32no—
1015#536—31no—
1016#535—31no—
1017#535—32no—
1018#535—34no—
1019#535—32no—
1020#535—34no—
1021#535—34no—
1022#535—31no—
1023#534—34no—
1024#534—34no—
1025#534—34no—
1026#533—32no—
1027#533—32no—
1028#532—32no—
1029#532—32no—
1030#529—34no—
1031#529—34no—
1032#529—32no—
1033#529—32no—
1034#529—32no—
1035#529—32no—
1036#525—31no—
1037#525—31no—
1038#525—31no—
1039#525—31no—
1040#525—31no—
1041#525—32no—
1042#525—32no—
1043#525—31no—
1044#525—32no—
1045#525—32no—
1046#525—32no—
1047#525—32no—
1048#525—31no—
1049#525—32no—
1050#525—32no—
1051#525—32no—
1052#525—31no—
1053#525—32no—
1054#525—32no—
1055#525—32no—
1056#525—32no—
1057#525—32no—
1058#525—34no—
1059#525—32no—
1060#525—32no—
1061#525C2×D311yescharacteristic
1062#525C2×D311yescharacteristic, complemented
1063#525C2×D311yescharacteristic, complemented
1064#525C2×D311yescharacteristic, complemented
1065#525C2×D311yescharacteristic, complemented
1066#525C2×D311yescharacteristic, complemented
1067#525C2×D312yescomplemented
1068#525C2×D312yescomplemented
1069#525C2×D311yescharacteristic, complemented
1070#525C2×D312yescomplemented
1071#525C2×D311yescharacteristic, complemented
1072#525C2×D312yescomplemented
1073C2×#123—32no—
1074C2×#123—32no—
1075C2×#123—34no—
1076C2×#123C2×D312yescomplemented
1077C2×C22⋊Q8—31no—
1078C2×C22⋊Q8—31no—
1079C2×C22⋊Q8—31no—
1080C2×C22⋊Q8—31no—
1081C2×C22⋊Q8—32no—
1082C2×C22⋊Q8—32no—
1083C2×C22⋊Q8C2×D311yescharacteristic, complemented
1084C2×C22⋊Q8C2×D311yescharacteristic, complemented
1085C2×#121—31no—
1086C2×#121—31no—
1087C2×#121—31no—
1088C2×#121—31no—
1089C2×#121—32no—
1090C2×#121—32no—
1091C2×#121C2×D311yescharacteristic, complemented
1092C2×#121C2×D311yescharacteristic, complemented
1093C2×#120—32no—
1094C2×#120—32no—
1095C2×#120C2×D312yescomplemented
1096#520—31no—
1097#520—31no—
1098#520—34no—
1099#520—31no—
1100#520—31no—
1101#520—34no—
1102#519—31no—
1103#518—34no—
1104#518—31no—
1105#518—34no—
1106C2×C4×D4—32no—
1107C2×C4×D4—32no—
1108C2×C4×D4—32no—
1109C2×C4×D4—32no—
1110C2×C4×D4C2×D312yescomplemented
1111C2×C4×D4C2×D312yescomplemented
1112C2×#117—31no—
1113C2×#117—31no—
1114C2×#117C2×D311yescharacteristic, complemented
1115C24×C3—42no—
1116C24×C3—42no—
1117C24×C3—42no—
1118C24×C3C2411yescharacteristic
1119C24×C3C2411yescharacteristic
1120C24×C3C2411yescharacteristic
1121C24×C3C2411yescharacteristic
1122C24×C3C2411yescharacteristic
1123C24×C3C2411yescharacteristic
1124C24×C3C2412yes—
1125C24×C3C2411yescharacteristic
1126C23×D3C2412yes—
1127C23×D3C2412yes—
1128C23×D3C2414yes—
1129C3×#41—24no—
1130C3×#41—24no—
1131C3×#41—44no—
1132C3×#41—44no—
1133C3×#41—42no—
1134C3×#41—42no—
1135C2×C3×Q8—42no—
1136C2×C3×Q8C2411yescharacteristic
1137C2×C3×Q8C2411yescharacteristic
1138C2×C3×Q8C2412yes—
1139C2×C3×D4—42no—
1140C2×C3×D4—44no—
1141C2×C3×D4—44no—
1142C2×C3×D4—44no—
1143C2×C3×D4C2412yes—
1144C2×C3×D4C2412yes—
1145C2×C3×D4C2412yes—
1146C2×C3×D4C2412yes—
1147C2×C3×D4C2411yescharacteristic
1148C2×C3×D4C2411yescharacteristic
1149C2×C3×D4C2412yes—
1150C2×C3×D4C2412yes—
1151C2×C3×D4C2412yes—
1152C2×C3×D4C2412yes—
1153C2×C3×D4C2412yes—
1154C2×C3×D4C2412yes—
1155C2×C3×D4C2412yes—
1156C2×C3×D4C2412yes—
1157C2×C3×D4C2412yes—
1158C22×C3×C4—24no—
1159C22×C3×C4—24no—
1160C22×C3×C4—24no—
1161C22×C3×C4—42no—
1162C22×C3×C4—42no—
1163C22×C3×C4—42no—
1164C22×C3×C4—42no—
1165C22×C3×C4—42no—
1166C22×C3×C4—42no—
1167C22×C3×C4—42no—
1168C22×C3×C4—42no—
1169C22×C3×C4—44no—
1170C22×C3×C4—42no—
1171C22×C3×C4—42no—
1172C22×C3×C4—42no—
1173C22×C3×C4C2411yescharacteristic
1174C22×C3×C4C2411yescharacteristic
1175C22×C3×C4C2411yescharacteristic
1176C22×C3×C4C2411yescharacteristic
1177C22×C3×C4C2411yescharacteristic
1178C22×C3×C4C2411yescharacteristic
1179C22×C3×C4C2411yescharacteristic
1180C22×C3×C4C2411yescharacteristic
1181C22×C3×C4C2411yescharacteristic
1182C22×C3×C4C2411yescharacteristic
1183C22×C3×C4C2411yescharacteristic
1184C22×C3×C4C2411yescharacteristic
1185C22×C3×C4C2411yescharacteristic
1186C22×C3×C4C2412yes—
1187C22×C3×C4C2412yes—
1188C22×C3×C4C2411yescharacteristic
1189C22×C3×C4C2411yescharacteristic
1190C22×C3×C4C2412yes—
1191C22×C3×C4C2411yescharacteristic
1192C22×C3×C4C2411yescharacteristic
1193C22×C3×C4C2412yes—
1194C22×C3×C4C2412yes—
1195C22×C3×C4C2411yescharacteristic
1196C22×C3×C4C2412yes—
1197C22×C3×C4C2411yescharacteristic
1198C22×C3×C4C2411yescharacteristic
1199C22×C3×C4C2411yescharacteristic
1200C22×C3×C4C2412yes—
1201C22×C3×C4C2411yescharacteristic
1202C22×C3×C4C2411yescharacteristic
1203C22×C3×C4C2411yescharacteristic
1204C22×C3×C4C2411yescharacteristic
1205C22×C3×C4C2411yescharacteristic
1206C22×C3×C4C2411yescharacteristic
1207C22×C3×C4C2411yescharacteristic
1208C2×#67—44no—
1209C2×#67—44no—
1210C2×#67—44no—
1211C2×#67—44no—
1212C2×#67—44no—
1213C2×#67—48no—
1214C2×#67—44no—
1215C2×#67C2412yes—
1216C2×#67C2414yes—
1217C2×#67C2412yes—
1218C2×#67C2412yes—
1219C2×#67C2414yes—
1220C2×#67C2412yes—
1221C2×#67C2414yes—
1222C2×#67C2414yes—
1223C2×#67C2414yes—
1224C2×#67C2414yes—
1225C2×#67C2412yes—
1226C2×#67C2412yes—
1227C2×#67C2412yes—
1228C2×#67C2412yes—
1229C2×#67C2414yes—
1230C2×#67C2414yes—
1231C2×#67C2414yes—
1232C2×#67C2414yes—
1233C2×#67C2414yes—
1234C2×#67C2414yes—
1235C2×#67C2412yes—
1236C2×#67C2412yes—
1237C2×#67C2412yes—
1238C2×#67C2412yes—
1239C22×Dic3C2412yes—
1240C22×Dic3C2412yes—
1241C22×Dic3C2414yes—
1242C22×Dic3C2414yes—
1243C22×Dic3C2412yes—
1244C22×Dic3C2412yes—
1245C22×Dic3C2412yes—
1246C22×Dic3C2412yes—
1247C22×Dic3C2414yes—
1248#239—44no—
1249D3×Q8—44no—
1250#237—44no—
1251#237—48no—
1252#237—48no—
1253D3×D4—44no—
1254D3×D4—48no—
1255D3×D4—48no—
1256#235—24no—
1257#235—24no—
1258#235—44no—
1259#235—44no—
1260#235—44no—
1261#235—44no—
1262#235—42no—
1263#235—42no—
1264#235—44no—
1265#235—44no—
1266#235—44no—
1267#235—44no—
1268#235—48no—
1269C2×D12—24no—
1270C2×D12—42no—
1271C2×D12—44no—
1272C2×D12C2411yescharacteristic
1273C2×D12C2412yes—
1274C2×D12C2411yescharacteristic
1275C2×D12C2412yes—
1276C2×D12C2414yes—
1277C2×D12C2414yes—
1278C2×D12C2414yes—
1279C2×D12C2412yes—
1280C2×C4×D3—44no—
1281C2×C4×D3—44no—
1282C2×C4×D3C2412yes—
1283C2×C4×D3C2412yes—
1284C2×C4×D3C2414yes—
1285C2×C4×D3C2414yes—
1286C2×C4×D3C2414yes—
1287C2×C4×D3C2414yes—
1288C2×C4×D3C2414yes—
1289C2×C4×D3C2412yes—
1290C2×C4×D3C2414yes—
1291C2×C4×D3C2414yes—
1292C2×C4×D3C2414yes—
1293C2×C4×D3C2412yes—
1294C2×Dic6—24no—
1295C2×Dic6—42no—
1296C2×Dic6—44no—
1297C2×Dic6C2411yescharacteristic
1298C2×Dic6C2412yes—
1299C2×Dic6C2411yescharacteristic
1300C2×Dic6C2412yes—
1301C2×Dic6C2414yes—
1302C2×Dic6C2414yes—
1303C2×Dic6C2414yes—
1304C2×Dic6C2412yes—
1305C3×C4⋊C4C2411yescharacteristic
1306C3×C4⋊C4C2412yes—
1307C3×C4⋊C4C2411yescharacteristic
1308C3×C4⋊C4C2412yes—
1309C3×C4⋊C4C2412yes—
1310C3×C4⋊C4C2411yescharacteristic
1311C3×C4⋊C4C2412yes—
1312C3×C4⋊C4C2412yes—
1313C3×C4⋊C4C2412yes—
1314C3×C4⋊C4C2412yes—
1315C3×C4⋊C4C2412yes—
1316C3×C4⋊C4C2412yes—
1317C3×C4⋊C4C2411yescharacteristic
1318C3×C4⋊C4C2412yes—
1319C3×C22⋊C4C2412yes—
1320C3×C22⋊C4C2412yes—
1321C3×C22⋊C4C2412yes—
1322C3×C22⋊C4C2412yes—
1323C3×C22⋊C4C2412yes—
1324C3×C22⋊C4C2412yes—
1325C3×C22⋊C4C2412yes—
1326C3×C22⋊C4C2412yes—
1327C3×C22⋊C4C2412yes—
1328C3×C22⋊C4C2412yes—
1329C3×C22⋊C4C2412yes—
1330C3×C22⋊C4C2412yes—
1331C3×C22⋊C4C2412yes—
1332C3×C22⋊C4C2412yes—
1333C3×C22⋊C4C2412yes—
1334C3×C22⋊C4C2412yes—
1335C3×C22⋊C4C2412yes—
1336C3×C22⋊C4C2412yes—
1337C3×C22⋊C4C2412yes—
1338C3×C22⋊C4C2412yes—
1339C3×C42C2412yes—
1340C3×C42C2412yes—
1341C3×C42C2412yes—
1342C3×C42C2412yes—
1343#217C2412yes—
1344#217C2414yes—
1345#217C2414yes—
1346#217C2414yes—
1347#217C2414yes—
1348#217C2412yes—
1349#217C2414yes—
1350#217C2412yes—
1351#217C2412yes—
1352#217C2412yes—
1353#217C2412yes—
1354#217C2414yes—
1355#217C2414yes—
1356#217C2414yes—
1357#217C2414yes—
1358#217C2412yes—
1359#217C2412yes—
1360#217C2412yes—
1361#217C2414yes—
1362#217C2414yes—
1363#217C2412yes—
1364#217C2412yes—
1365#217C2414yes—
1366#217C2412yes—
1367(C2×D3)⋊C4C2412yes—
1368(C2×D3)⋊C4C2414yes—
1369(C2×D3)⋊C4C2414yes—
1370(C2×D3)⋊C4C2414yes—
1371(C2×D3)⋊C4C2412yes—
1372(C2×D3)⋊C4C2414yes—
1373(C2×D3)⋊C4C2414yes—
1374(C2×D3)⋊C4C2414yes—
1375(C2×D3)⋊C4C2414yes—
1376(C2×D3)⋊C4C2414yes—
1377(C2×D3)⋊C4C2414yes—
1378(C2×D3)⋊C4C2414yes—
1379(C2×D3)⋊C4C2412yes—
1380(C2×D3)⋊C4C2412yes—
1381(C2×D3)⋊C4C2414yes—
1382(C2×D3)⋊C4C2414yes—
1383(C2×D3)⋊C4C2412yes—
1384(C2×D3)⋊C4C2414yes—
1385(C2×D3)⋊C4C2414yes—
1386(C2×D3)⋊C4C2414yes—
1387(C2×D3)⋊C4C2412yes—
1388(C2×D3)⋊C4C2412yes—
1389(C2×D3)⋊C4C2414yes—
1390(C2×D3)⋊C4C2412yes—
1391C4⋊Dic3C2411yescharacteristic
1392C4⋊Dic3C2411yescharacteristic
1393C4⋊Dic3C2412yes—
1394C4⋊Dic3C2412yes—
1395C4⋊Dic3C2414yes—
1396C4⋊Dic3C2411yescharacteristic
1397C4⋊Dic3C2414yes—
1398C4⋊Dic3C2414yes—
1399C4⋊Dic3C2414yes—
1400C4⋊Dic3C2411yescharacteristic
1401C4⋊Dic3C2414yes—
1402C4⋊Dic3C2412yes—
1403C4⋊Dic3C2414yes—
1404C4⋊Dic3C2412yes—
1405C4⋊Dic3C2412yes—
1406C4⋊Dic3C2412yes—
1407Dic3⋊C4C2412yes—
1408Dic3⋊C4C2414yes—
1409Dic3⋊C4C2414yes—
1410Dic3⋊C4C2414yes—
1411Dic3⋊C4C2414yes—
1412Dic3⋊C4C2414yes—
1413Dic3⋊C4C2414yes—
1414Dic3⋊C4C2414yes—
1415Dic3⋊C4C2414yes—
1416Dic3⋊C4C2414yes—
1417Dic3⋊C4C2412yes—
1418Dic3⋊C4C2414yes—
1419Dic3⋊C4C2412yes—
1420Dic3⋊C4C2412yes—
1421Dic3⋊C4C2414yes—
1422Dic3⋊C4C2414yes—
1423Dic3⋊C4C2414yes—
1424Dic3⋊C4C2414yes—
1425Dic3⋊C4C2414yes—
1426Dic3⋊C4C2412yes—
1427Dic3⋊C4C2412yes—
1428Dic3⋊C4C2412yes—
1429Dic3⋊C4C2414yes—
1430Dic3⋊C4C2412yes—
1431C4×Dic3C2414yes—
1432C4×Dic3C2414yes—
1433C4×Dic3C2414yes—
1434C4×Dic3C2414yes—
1435C4×Dic3C2414yes—
1436C4×Dic3C2412yes—
1437C4×Dic3C2414yes—
1438C4×Dic3C2414yes—
1439C4×Dic3C2414yes—
1440C4×Dic3C2412yes—
1441C4×Dic3C2412yes—
1442C4×Dic3C2412yes—
1443C25C22×D311yescharacteristic
14442−1+4—124no—
1445H(5,𝔽2)—124no—
1446C2×#41—32no—
1447C2×#41—34no—
1448C2×#41—34no—
1449C2×#41—32no—
1450C2×#41—31no—
1451C2×#41—31no—
1452C2×#41—34no—
1453C2×#41—32no—
1454C2×#41—32no—
1455C2×#41—31no—
1456C2×#41—32no—
1457C2×#41—32no—
1458C2×#41—32no—
1459C2×#41—32no—
1460C2×#41—31no—
1461C2×#41—32no—
1462C2×#41—32no—
1463C2×#41—44no—
1464C2×#41—124no—
1465C2×#41—124no—
1466C2×#41C22×D311yescharacteristic
1467C2×#41C22×D311yescharacteristic
1468C2×#41C22×D312yes—
1469C2×#41C22×D312yes—
1470C2×#41C22×D311yescharacteristic
1471C2×#41C22×D311yescharacteristic
1472C22×Q8—32no—
1473C22×Q8—31no—
1474C22×Q8—31no—
1475C22×Q8—32no—
1476C22×Q8C22×D311yescharacteristic
1477C22×D4—32no—
1478C22×D4—32no—
1479C22×D4—32no—
1480C22×D4—32no—
1481C22×D4—34no—
1482C22×D4—32no—
1483C22×D4—32no—
1484C22×D4—34no—
1485C22×D4—32no—
1486C22×D4—34no—
1487C22×D4—31no—
1488C22×D4—31no—
1489C22×D4—32no—
1490C22×D4C22×D312yes—
1491C22×D4C22×D312yes—
1492C22×D4C22×D312yes—
1493C22×D4C22×D311yescharacteristic
1494C23×C4—32no—
1495C23×C4—32no—
1496C23×C4—44no—
1497C23×C4C22×D311yescharacteristic
1498C23×C4C22×D311yescharacteristic
1499C23×C4C22×D311yescharacteristic
1500C23×C4C22×D311yescharacteristic
1501C23×C4C22×D311yescharacteristic
1502C23×C4C22×D311yescharacteristic
1503C23×C4C22×D311yescharacteristic
1504C23×C4C22×D311yescharacteristic
1505C23×C4C22×D312yes—
1506C23×C4C22×D311yescharacteristic
1507C23×C4C22×D311yescharacteristic
1508C23×C4C22×D311yescharacteristic
1509C23×C4C22×D311yescharacteristic
1510C23×C4C22×D311yescharacteristic
1511C23×C4C22×D311yescharacteristic
1512C4⋊Q8—32no—
1513C4⋊Q8—34no—
1514C4⋊Q8—32no—
1515C4⋊Q8—32no—
1516C4⋊Q8—34no—
1517C4⋊Q8—32no—
1518C4⋊Q8—32no—
1519C4⋊Q8—32no—
1520#127—32no—
1521#127—34no—
1522#127—34no—
1523#127—34no—
1524#127—34no—
1525#127—32no—
1526#126—34no—
1527#126—34no—
1528#126—34no—
1529#126—34no—
1530#126—34no—
1531#126—34no—
1532#126—34no—
1533#126—34no—
1534#126—34no—
1535#126—34no—
1536#126—34no—
1537#126—34no—
1538#126—34no—
1539#126—34no—
1540#126—34no—
1541#126—34no—
1542#126—34no—
1543#126—34no—
1544#126—34no—
1545#126—34no—
1546#125—34no—
1547#125—34no—
1548#125—32no—
1549#125—32no—
1550#125—34no—
1551#125—34no—
1552#125—34no—
1553#125—34no—
1554#125—34no—
1555#125—32no—
1556#125—32no—
1557#125—34no—
1558#124—32no—
1559#124—34no—
1560#124—32no—
1561#124—34no—
1562#124—34no—
1563#124—34no—
1564#124—34no—
1565#124—34no—
1566#124—34no—
1567#124—34no—
1568#124—34no—
1569#124—34no—
1570#124—34no—
1571#124—34no—
1572#124—34no—
1573#124—34no—
1574#124—34no—
1575#124—34no—
1576#124—34no—
1577#124—32no—
1578#124—32no—
1579#124—34no—
1580#123—34no—
1581#123—34no—
1582#123—34no—
1583#123—34no—
1584#123—34no—
1585#123—34no—
1586#123—34no—
1587#123—32no—
1588#123—32no—
1589#123—32no—
1590#123—34no—
1591#123—34no—
1592#123—32no—
1593#123—32no—
1594#123—32no—
1595#123—32no—
1596#123—34no—
1597#123—32no—
1598#123—34no—
1599#123—34no—
1600#123—34no—
1601#123—34no—
1602#123—34no—
1603#123—34no—
1604#123—34no—
1605#123—34no—
1606#123—34no—
1607#123—34no—
1608#123—34no—
1609#123—34no—
1610#123—34no—
1611#123—34no—
1612#123—34no—
1613#123—34no—
1614#123—34no—
1615#123—34no—
1616#123—34no—
1617#123—34no—
1618#123—34no—
1619#123—34no—
1620#123—34no—
1621#123—34no—
1622#123—34no—
1623#123—34no—
1624#123C22×D312yes—
1625#123C22×D312yes—
1626#123C22×D312yes—
1627#123C22×D312yes—
1628#123C22×D312yes—
1629#123C22×D312yes—
1630#123C22×D312yes—
1631#123C22×D312yes—
1632C22⋊Q8—32no—
1633C22⋊Q8—32no—
1634C22⋊Q8—34no—
1635C22⋊Q8—34no—
1636C22⋊Q8—31no—
1637C22⋊Q8—32no—
1638C22⋊Q8—32no—
1639C22⋊Q8—31no—
1640C22⋊Q8—31no—
1641C22⋊Q8—32no—
1642C22⋊Q8—32no—
1643C22⋊Q8—31no—
1644C22⋊Q8—32no—
1645C22⋊Q8—32no—
1646C22⋊Q8—32no—
1647C22⋊Q8—32no—
1648C22⋊Q8—31no—
1649C22⋊Q8—31no—
1650C22⋊Q8—32no—
1651C22⋊Q8—32no—
1652C22⋊Q8—31no—
1653C22⋊Q8—31no—
1654C22⋊Q8—32no—
1655C22⋊Q8—32no—
1656C22⋊Q8—32no—
1657C22⋊Q8—32no—
1658C22⋊Q8—34no—
1659C22⋊Q8—34no—
1660C22⋊Q8—32no—
1661C22⋊Q8—32no—
1662C22⋊Q8—34no—
1663C22⋊Q8—32no—
1664C22⋊Q8—34no—
1665C22⋊Q8—32no—
1666C22⋊Q8—34no—
1667C22⋊Q8—34no—
1668C22⋊Q8—34no—
1669C22⋊Q8—34no—
1670C22⋊Q8—34no—
1671C22⋊Q8—34no—
1672C22⋊Q8—34no—
1673C22⋊Q8—34no—
1674C22⋊Q8—34no—
1675C22⋊Q8—34no—
1676C22⋊Q8—34no—
1677C22⋊Q8—34no—
1678C22⋊Q8C22×D311yescharacteristic
1679C22⋊Q8C22×D311yescharacteristic
1680C22⋊Q8C22×D311yescharacteristic
1681C22⋊Q8C22×D311yescharacteristic
1682C22⋊Q8C22×D312yes—
1683C22⋊Q8C22×D312yes—
1684C22⋊Q8C22×D311yescharacteristic
1685C22⋊Q8C22×D311yescharacteristic
1686C22⋊Q8C22×D311yescharacteristic
1687C22⋊Q8C22×D311yescharacteristic
1688C22⋊Q8C22×D312yes—
1689C22⋊Q8C22×D312yes—
1690#121—32no—
1691#121—34no—
1692#121—32no—
1693#121—34no—
1694#121—34no—
1695#121—34no—
1696#121—34no—
1697#121—34no—
1698#121—34no—
1699#121—34no—
1700#121—34no—
1701#121—34no—
1702#121—34no—
1703#121—34no—
1704#121—34no—
1705#121—34no—
1706#121—34no—
1707#121—34no—
1708#121—34no—
1709#121—34no—
1710#121—34no—
1711#121—34no—
1712#121—34no—
1713#121—34no—
1714#121—31no—
1715#121—32no—
1716#121—32no—
1717#121—31no—
1718#121—31no—
1719#121—32no—
1720#121—32no—
1721#121—31no—
1722#121—32no—
1723#121—32no—
1724#121—32no—
1725#121—32no—
1726#121—32no—
1727#121—31no—
1728#121—31no—
1729#121—32no—
1730#121—32no—
1731#121—31no—
1732#121—31no—
1733#121—32no—
1734#121—32no—
1735#121—32no—
1736#121—34no—
1737#121—34no—
1738#121—32no—
1739#121—32no—
1740#121—34no—
1741#121—32no—
1742#121—32no—
1743#121—34no—
1744#121—34no—
1745#121—34no—
1746#121—34no—
1747#121—34no—
1748#121—34no—
1749#121—34no—
1750#121—34no—
1751#121—34no—
1752#121—34no—
1753#121—34no—
1754#121—34no—
1755#121—34no—
1756#121C22×D311yescharacteristic
1757#121C22×D311yescharacteristic
1758#121C22×D311yescharacteristic
1759#121C22×D311yescharacteristic
1760#121C22×D312yes—
1761#121C22×D312yes—
1762#121C22×D312yes—
1763#121C22×D311yescharacteristic
1764#121C22×D311yescharacteristic
1765#121C22×D311yescharacteristic
1766#121C22×D311yescharacteristic
1767#121C22×D312yes—
1768#120—32no—
1769#120—32no—
1770#120—34no—
1771#120—34no—
1772#120—32no—
1773#120—32no—
1774#120—32no—
1775#120—34no—
1776#120—32no—
1777#120—32no—
1778#120—34no—
1779#120—32no—
1780#120—34no—
1781#120—34no—
1782#120—34no—
1783#120—34no—
1784#120—34no—
1785#120—34no—
1786#120—34no—
1787#120—34no—
1788#120—34no—
1789#120—34no—
1790#120—34no—
1791#120—34no—
1792#120C22×D312yes—
1793#120C22×D312yes—
1794#120C22×D312yes—
1795#120C22×D312yes—
1796#120C22×D312yes—
1797#120C22×D312yes—
1798#120C22×D312yes—
1799#120C22×D312yes—
1800C4×Q8—32no—
1801C4×Q8—32no—
1802C4×Q8—32no—
1803C4×Q8—32no—
1804C4×Q8—34no—
1805C4×Q8—34no—
1806C4×Q8—34no—
1807C4×Q8—32no—
1808C4×Q8—32no—
1809C4×Q8—32no—
1810C4×Q8—32no—
1811C4×Q8—34no—
1812C4×D4—34no—
1813C4×D4—34no—
1814C4×D4—34no—
1815C4×D4—34no—
1816C4×D4—32no—
1817C4×D4—32no—
1818C4×D4—32no—
1819C4×D4—34no—
1820C4×D4—34no—
1821C4×D4—32no—
1822C4×D4—32no—
1823C4×D4—34no—
1824C4×D4—34no—
1825C4×D4—32no—
1826C4×D4—32no—
1827C4×D4—32no—
1828C4×D4—32no—
1829C4×D4—32no—
1830C4×D4—32no—
1831C4×D4—34no—
1832C4×D4—34no—
1833C4×D4—32no—
1834C4×D4—32no—
1835C4×D4—32no—
1836C4×D4—32no—
1837C4×D4—32no—
1838C4×D4—34no—
1839C4×D4—34no—
1840C4×D4—32no—
1841C4×D4—32no—
1842C4×D4—34no—
1843C4×D4—34no—
1844C4×D4—34no—
1845C4×D4—34no—
1846C4×D4—34no—
1847C4×D4—34no—
1848C4×D4—34no—
1849C4×D4—32no—
1850C4×D4—32no—
1851C4×D4—34no—
1852C4×D4—34no—
1853C4×D4—34no—
1854C4×D4—34no—
1855C4×D4—34no—
1856C4×D4—34no—
1857C4×D4—34no—
1858C4×D4—34no—
1859C4×D4—34no—
1860C4×D4—34no—
1861C4×D4—34no—
1862C4×D4—34no—
1863C4×D4—32no—
1864C4×D4—34no—
1865C4×D4—32no—
1866C4×D4—32no—
1867C4×D4—32no—
1868C4×D4C22×D312yes—
1869C4×D4C22×D312yes—
1870C4×D4C22×D312yes—
1871C4×D4C22×D312yes—
1872C4×D4C22×D312yes—
1873C4×D4C22×D312yes—
1874C4×D4C22×D312yes—
1875C4×D4C22×D312yes—
1876C4×D4C22×D312yes—
1877C4×D4C22×D312yes—
1878C4×D4C22×D312yes—
1879C4×D4C22×D312yes—
1880C4×D4C22×D312yes—
1881C4×D4C22×D312yes—
1882C4×D4C22×D312yes—
1883C4×D4C22×D312yes—
1884#117—31no—
1885#117—31no—
1886#117—32no—
1887#117—32no—
1888#117—31no—
1889#117—32no—
1890#117—32no—
1891#117—32no—
1892#117—32no—
1893#117—31no—
1894#117—32no—
1895#117—32no—
1896#117—34no—
1897#117—34no—
1898#117—32no—
1899#117—32no—
1900#117—34no—
1901#117—34no—
1902#117—34no—
1903#117—34no—
1904#117—34no—
1905#117—34no—
1906#117—34no—
1907#117—34no—
1908#117—34no—
1909#117C22×D311yescharacteristic
1910#117C22×D311yescharacteristic
1911#117C22×D312yes—
1912#117C22×D312yes—
1913#117C22×D311yescharacteristic
1914#117C22×D311yescharacteristic
1915C2×C4⋊C4—31no—
1916C2×C4⋊C4—31no—
1917C2×C4⋊C4—31no—
1918C2×C4⋊C4—31no—
1919C2×C4⋊C4—32no—
1920C2×C4⋊C4—32no—
1921C2×C4⋊C4—32no—
1922C2×C4⋊C4—32no—
1923C2×C4⋊C4—32no—
1924C2×C4⋊C4—32no—
1925C2×C4⋊C4—34no—
1926C2×C4⋊C4—32no—
1927C2×C4⋊C4—32no—
1928C2×C4⋊C4—34no—
1929C2×C4⋊C4—34no—
1930C2×C4⋊C4—34no—
1931C2×C4⋊C4C22×D311yescharacteristic
1932C2×C4⋊C4C22×D311yescharacteristic
1933C2×C4⋊C4C22×D312yes—
1934C2×C4⋊C4C22×D312yes—
1935C2×C22⋊C4—32no—
1936C2×C22⋊C4—32no—
1937C2×C22⋊C4—32no—
1938C2×C22⋊C4—32no—
1939C2×C22⋊C4—32no—
1940C2×C22⋊C4—32no—
1941C2×C22⋊C4—34no—
1942C2×C22⋊C4—32no—
1943C2×C22⋊C4—32no—
1944C2×C22⋊C4—32no—
1945C2×C22⋊C4—32no—
1946C2×C22⋊C4—34no—
1947C2×C22⋊C4—34no—
1948C2×C22⋊C4—34no—
1949C2×C22⋊C4—34no—
1950C2×C22⋊C4—34no—
1951C2×C22⋊C4—34no—
1952C2×C22⋊C4C22×D312yes—
1953C2×C22⋊C4C22×D312yes—
1954C2×C22⋊C4C22×D312yes—
1955C2×C22⋊C4C22×D312yes—
1956C2×C22⋊C4C22×D312yes—
1957C2×C42—32no—
1958C2×C42—32no—
1959C2×C42C22×D312yes—
1960C23×C3—22no—
1961C23×C3—22no—
1962C23×C3—22no—
1963C23×C3—22no—
1964C23×C3—22no—
1965C23×C3—22no—
1966C23×C3—22no—
1967C23×C3—22no—
1968C23×C3—22no—
1969C23×C3—24no—
1970C23×C3—41no—
1971C23×C3—41no—
1972C23×C3—41no—
1973C23×C3—41no—
1974C23×C3—41no—
1975C23×C3—41no—
1976C23×C3—41no—
1977C23×C3—41no—
1978C23×C3—41no—
1979C23×C3—41no—
1980C23×C3—41no—
1981C23×C3—41no—
1982C23×C3—42no—
1983C23×C3—42no—
1984C23×C3—416no—
1985C23×C3C2512yes—
1986C23×C3C2511yescharacteristic
1987C23×C3C2511yescharacteristic
1988C23×C3C2511yescharacteristic
1989C23×C3C2511yescharacteristic
1990C23×C3C2512yes—
1991C23×C3C2511yescharacteristic
1992C23×C3C2511yescharacteristic
1993C23×C3C2511yescharacteristic
1994C22×D3—24no—
1995C22×D3—24no—
1996C22×D3—42no—
1997C22×D3—42no—
1998C22×D3—42no—
1999C22×D3—42no—
2000C22×D3—44no—
2001C22×D3—44no—
2002C22×D3—44no—
2003C22×D3C2512yes—
2004C22×D3C2514yes—
2005C22×D3C2512yes—
2006C3×Q8—22no—
2007C3×Q8—22no—
2008C3×Q8—42no—
2009C3×D4—24no—
2010C3×D4—24no—
2011C3×D4—24no—
2012C3×D4—24no—
2013C3×D4—22no—
2014C3×D4—22no—
2015C3×D4—42no—
2016C3×D4—42no—
2017C3×D4—42no—
2018C3×D4—42no—
2019C3×D4—42no—
2020C3×D4—42no—
2021C3×D4—42no—
2022C3×D4—42no—
2023C3×D4—42no—
2024C2×C3×C4—22no—
2025C2×C3×C4—22no—
2026C2×C3×C4—22no—
2027C2×C3×C4—24no—
2028C2×C3×C4—22no—
2029C2×C3×C4—24no—
2030C2×C3×C4—22no—
2031C2×C3×C4—24no—
2032C2×C3×C4—22no—
2033C2×C3×C4—22no—
2034C2×C3×C4—22no—
2035C2×C3×C4—22no—
2036C2×C3×C4—22no—
2037C2×C3×C4—22no—
2038C2×C3×C4—22no—
2039C2×C3×C4—22no—
2040C2×C3×C4—22no—
2041C2×C3×C4—22no—
2042C2×C3×C4—41no—
2043C2×C3×C4—41no—
2044C2×C3×C4—41no—
2045C2×C3×C4—41no—
2046C2×C3×C4—41no—
2047C2×C3×C4—41no—
2048C2×C3×C4—41no—
2049C2×C3×C4—41no—
2050C2×C3×C4—41no—
2051C2×C3×C4—41no—
2052C2×C3×C4—41no—
2053C2×C3×C4—41no—
2054C2×C3×C4—42no—
2055C2×C3×C4—42no—
2056C2×C3×C4—42no—
2057C2×C3×C4—42no—
2058C2×C3×C4H(5,𝔽2)14yes—
2059C2×C3×C4C2512yes—
2060C2×C3×C4C2511yescharacteristic
2061C2×C3×C4C2511yescharacteristic
2062C2×C3×C4C2511yescharacteristic
2063C2×C3×C4C2512yes—
2064C2×C3×C4C2512yes—
2065C2×C3×C4C2512yes—
2066C2×C3×C4C2512yes—
2067C2×C3×C4C2511yescharacteristic
2068C2×C3×C4C2511yescharacteristic
2069C2×C3×C4C2512yes—
2070C2×C3×C4C2511yescharacteristic
2071C2×C3×C4C2511yescharacteristic
2072C2×C3×C4C2511yescharacteristic
2073#67—24no—
2074#67—24no—
2075#67—24no—
2076#67—28no—
2077#67—28no—
2078#67—24no—
2079#67—44no—
2080#67—44no—
2081#67—42no—
2082#67—42no—
2083#67—44no—
2084#67—44no—
2085#67—44no—
2086#67—44no—
2087#67—42no—
2088#67—42no—
2089#67—42no—
2090#67—44no—
2091#67—44no—
2092#67—44no—
2093#67—42no—
2094#67—42no—
2095#67—42no—
2096#67—44no—
2097C2×Dic3—24no—
2098C2×Dic3—24no—
2099C2×Dic3—42no—
2100C2×Dic3—44no—
2101C2×Dic3—44no—
2102C2×Dic3—42no—
2103C2×Dic3—42no—
2104C2×Dic3—42no—
2105C2×Dic3—44no—
2106C2×Dic3C2512yes—
2107C2×Dic3C2512yes—
2108C2×Dic3C2514yes—
2109C2×Dic3C2514yes—
2110C2×Dic3C2512yes—
2111C2×Dic3C2512yes—
2112C2×Dic3C2512yes—
2113C2×Dic3C2514yes—
2114C2×Dic3C2512yes—
2115D12—24no—
2116D12—24no—
2117D12—22no—
2118D12—22no—
2119D12—42no—
2120D12—44no—
2121D12—44no—
2122D12—44no—
2123C4×D3—24no—
2124C4×D3—24no—
2125C4×D3—44no—
2126C4×D3—44no—
2127C4×D3—42no—
2128C4×D3—42no—
2129C4×D3—44no—
2130C4×D3—44no—
2131C4×D3—44no—
2132C4×D3—44no—
2133C4×D3—44no—
2134C4×D3—44no—
2135Dic6—24no—
2136Dic6—24no—
2137Dic6—22no—
2138Dic6—22no—
2139Dic6—42no—
2140Dic6—44no—
2141Dic6—44no—
2142Dic6—44no—
2143C24—32no—
2144C24—32no—
2145C24—34no—
2146C24—42no—
2147C24—42no—
2148C24—42no—
2149C24C23×D311yescharacteristic
2150C24C23×D311yescharacteristic
2151C24C23×D311yescharacteristic
2152C24C23×D312yes—
2153C24C23×D311yescharacteristic
2154C24C23×D311yescharacteristic
2155C24C23×D311yescharacteristic
2156C24C23×D311yescharacteristic
2157#41—24no—
2158#41—24no—
2159#41—44no—
2160#41—44no—
2161#41—42no—
2162#41—42no—
2163#41—64no—
2164#41—64no—
2165#41—124no—
2166#41—124no—
2167#41—128no—
2168#41—124no—
2169#41—124no—
2170#41—124no—
2171#41—124no—
2172#41—122no—
2173#41—122no—
2174#41—124no—
2175#41—124no—
2176#41—128no—
2177#41—128no—
2178#41—124no—
2179#41—124no—
2180C2×Q8—31no—
2181C2×Q8—32no—
2182C2×Q8—32no—
2183C2×Q8—31no—
2184C2×Q8—34no—
2185C2×Q8—34no—
2186C2×Q8—32no—
2187C2×Q8—34no—
2188C2×Q8—42no—
2189C2×Q8—64no—
2190C2×Q8—122no—
2191C2×Q8—124no—
2192C2×Q8—124no—
2193C2×Q8C23×D311yescharacteristic
2194C2×Q8C23×D311yescharacteristic
2195C2×Q8C23×D312yes—
2196C2×D4—32no—
2197C2×D4—34no—
2198C2×D4—34no—
2199C2×D4—32no—
2200C2×D4—32no—
2201C2×D4—32no—
2202C2×D4—32no—
2203C2×D4—32no—
2204C2×D4—32no—
2205C2×D4—34no—
2206C2×D4—34no—
2207C2×D4—34no—
2208C2×D4—32no—
2209C2×D4—34no—
2210C2×D4—34no—
2211C2×D4—32no—
2212C2×D4—32no—
2213C2×D4—34no—
2214C2×D4—32no—
2215C2×D4—34no—
2216C2×D4—34no—
2217C2×D4—34no—
2218C2×D4—32no—
2219C2×D4—34no—
2220C2×D4—31no—
2221C2×D4—32no—
2222C2×D4—32no—
2223C2×D4—31no—
2224C2×D4—34no—
2225C2×D4—34no—
2226C2×D4—32no—
2227C2×D4—34no—
2228C2×D4—42no—
2229C2×D4—44no—
2230C2×D4—44no—
2231C2×D4—44no—
2232C2×D4—64no—
2233C2×D4—122no—
2234C2×D4—124no—
2235C2×D4—124no—
2236C2×D4—124no—
2237C2×D4—124no—
2238C2×D4—128no—
2239C2×D4—128no—
2240C2×D4—124no—
2241C2×D4—128no—
2242C2×D4—124no—
2243C2×D4—124no—
2244C2×D4—124no—
2245C2×D4C23×D312yes—
2246C2×D4C23×D312yes—
2247C2×D4C23×D312yes—
2248C2×D4C23×D312yes—
2249C2×D4C23×D311yescharacteristic
2250C2×D4C23×D311yescharacteristic
2251C2×D4C23×D312yes—
2252C2×D4C23×D312yes—
2253C2×D4C23×D312yes—
2254C2×D4C23×D312yes—
2255C2×D4C23×D312yes—
2256C2×D4C23×D312yes—
2257C2×D4C23×D312yes—
2258C2×D4C23×D312yes—
2259C2×D4C23×D312yes—
2260C22×C4—24no—
2261C22×C4—24no—
2262C22×C4—24no—
2263C22×C4—32no—
2264C22×C4—32no—
2265C22×C4—32no—
2266C22×C4—32no—
2267C22×C4—32no—
2268C22×C4—32no—
2269C22×C4—34no—
2270C22×C4—34no—
2271C22×C4—34no—
2272C22×C4—32no—
2273C22×C4—32no—
2274C22×C4—34no—
2275C22×C4—34no—
2276C22×C4—32no—
2277C22×C4—34no—
2278C22×C4—34no—
2279C22×C4—34no—
2280C22×C4—34no—
2281C22×C4—34no—
2282C22×C4—32no—
2283C22×C4—34no—
2284C22×C4—42no—
2285C22×C4—42no—
2286C22×C4—42no—
2287C22×C4—42no—
2288C22×C4—42no—
2289C22×C4—42no—
2290C22×C4—42no—
2291C22×C4—42no—
2292C22×C4—44no—
2293C22×C4—42no—
2294C22×C4—42no—
2295C22×C4—42no—
2296C22×C4—124no—
2297C22×C4—124no—
2298C22×C4C23×D311yescharacteristic
2299C22×C4C23×D311yescharacteristic
2300C22×C4C23×D311yescharacteristic
2301C22×C4C23×D312yes—
2302C22×C4C23×D311yescharacteristic
2303C22×C4C23×D311yescharacteristic
2304C22×C4C23×D311yescharacteristic
2305C22×C4C23×D312yes—
2306C22×C4C23×D312yes—
2307C22×C4C23×D311yescharacteristic
2308C22×C4C23×D311yescharacteristic
2309C22×C4C23×D311yescharacteristic
2310C22×C4C23×D311yescharacteristic
2311C22×C4C23×D311yescharacteristic
2312C22×C4C23×D311yescharacteristic
2313C22×C4C23×D311yescharacteristic
2314C22×C4C23×D311yescharacteristic
2315C22×C4C23×D311yescharacteristic
2316C22×C4C23×D312yes—
2317C22×C4C23×D311yescharacteristic
2318C22×C4C23×D311yescharacteristic
2319C22×C4C23×D312yes—
2320C22×C4C23×D311yescharacteristic
2321C22×C4C23×D311yescharacteristic
2322C22×C4C23×D312yes—
2323C22×C4C23×D312yes—
2324C22×C4C23×D311yescharacteristic
2325C22×C4C23×D311yescharacteristic
2326C22×C4C23×D311yescharacteristic
2327C22×C4C23×D311yescharacteristic
2328C22×C4C23×D311yescharacteristic
2329C22×C4C23×D311yescharacteristic
2330C22×C4C23×D311yescharacteristic
2331C22×C4C23×D311yescharacteristic
2332C22×C4C23×D311yescharacteristic
2333C4⋊C4—31no—
2334C4⋊C4—32no—
2335C4⋊C4—32no—
2336C4⋊C4—31no—
2337C4⋊C4—32no—
2338C4⋊C4—32no—
2339C4⋊C4—32no—
2340C4⋊C4—32no—
2341C4⋊C4—32no—
2342C4⋊C4—34no—
2343C4⋊C4—34no—
2344C4⋊C4—34no—
2345C4⋊C4—34no—
2346C4⋊C4—31no—
2347C4⋊C4—31no—
2348C4⋊C4—32no—
2349C4⋊C4—32no—
2350C4⋊C4—32no—
2351C4⋊C4—32no—
2352C4⋊C4—32no—
2353C4⋊C4—32no—
2354C4⋊C4—34no—
2355C4⋊C4—34no—
2356C4⋊C4—32no—
2357C4⋊C4—34no—
2358C4⋊C4—34no—
2359C4⋊C4—34no—
2360C4⋊C4—34no—
2361C4⋊C4—34no—
2362C4⋊C4—34no—
2363C4⋊C4—34no—
2364C4⋊C4—34no—
2365C4⋊C4—34no—
2366C4⋊C4—34no—
2367C4⋊C4—34no—
2368C4⋊C4—34no—
2369C4⋊C4—34no—
2370C4⋊C4—34no—
2371C4⋊C4—34no—
2372C4⋊C4—34no—
2373C4⋊C4C23×D312yes—
2374C4⋊C4C23×D312yes—
2375C4⋊C4C23×D311yescharacteristic
2376C4⋊C4C23×D311yescharacteristic
2377C4⋊C4C23×D312yes—
2378C4⋊C4C23×D311yescharacteristic
2379C4⋊C4C23×D311yescharacteristic
2380C4⋊C4C23×D312yes—
2381C4⋊C4C23×D312yes—
2382C4⋊C4C23×D312yes—
2383C4⋊C4C23×D312yes—
2384C4⋊C4C23×D312yes—
2385C4⋊C4C23×D312yes—
2386C4⋊C4C23×D312yes—
2387C22⋊C4—32no—
2388C22⋊C4—32no—
2389C22⋊C4—34no—
2390C22⋊C4—34no—
2391C22⋊C4—34no—
2392C22⋊C4—34no—
2393C22⋊C4—32no—
2394C22⋊C4—32no—
2395C22⋊C4—32no—
2396C22⋊C4—34no—
2397C22⋊C4—34no—
2398C22⋊C4—32no—
2399C22⋊C4—32no—
2400C22⋊C4—32no—
2401C22⋊C4—32no—
2402C22⋊C4—34no—
2403C22⋊C4—34no—
2404C22⋊C4—32no—
2405C22⋊C4—32no—
2406C22⋊C4—34no—
2407C22⋊C4—32no—
2408C22⋊C4—34no—
2409C22⋊C4—34no—
2410C22⋊C4—34no—
2411C22⋊C4—32no—
2412C22⋊C4—32no—
2413C22⋊C4—32no—
2414C22⋊C4—34no—
2415C22⋊C4—34no—
2416C22⋊C4—34no—
2417C22⋊C4—34no—
2418C22⋊C4—32no—
2419C22⋊C4—32no—
2420C22⋊C4—32no—
2421C22⋊C4—32no—
2422C22⋊C4—34no—
2423C22⋊C4—34no—
2424C22⋊C4—34no—
2425C22⋊C4—34no—
2426C22⋊C4—34no—
2427C22⋊C4—34no—
2428C22⋊C4—34no—
2429C22⋊C4—32no—
2430C22⋊C4—34no—
2431C22⋊C4—34no—
2432C22⋊C4—34no—
2433C22⋊C4—34no—
2434C22⋊C4—34no—
2435C22⋊C4C23×D312yes—
2436C22⋊C4C23×D312yes—
2437C22⋊C4C23×D312yes—
2438C22⋊C4C23×D312yes—
2439C22⋊C4C23×D312yes—
2440C22⋊C4C23×D312yes—
2441C22⋊C4C23×D312yes—
2442C22⋊C4C23×D312yes—
2443C22⋊C4C23×D312yes—
2444C22⋊C4C23×D312yes—
2445C22⋊C4C23×D312yes—
2446C22⋊C4C23×D312yes—
2447C22⋊C4C23×D312yes—
2448C22⋊C4C23×D312yes—
2449C22⋊C4C23×D312yes—
2450C22⋊C4C23×D312yes—
2451C22⋊C4C23×D312yes—
2452C22⋊C4C23×D312yes—
2453C22⋊C4C23×D312yes—
2454C22⋊C4C23×D312yes—
2455C42—32no—
2456C42—34no—
2457C42—34no—
2458C42—32no—
2459C42—32no—
2460C42—32no—
2461C42—34no—
2462C42—34no—
2463C42—34no—
2464C42—34no—
2465C42—34no—
2466C42—34no—
2467C42C23×D312yes—
2468C42C23×D312yes—
2469C42C23×D312yes—
2470C42C23×D312yes—
2471C22×C3—21no—
2472C22×C3—21no—
2473C22×C3—21no—
2474C22×C3—21no—
2475C22×C3—21no—
2476C22×C3—21no—
2477C22×C3—22no—
2478C22×C3—21no—
2479C22×C3—21no—
2480C22×C3—21no—
2481C22×C3—22no—
2482C22×C3—21no—
2483C22×C3—22no—
2484C22×C3—22no—
2485C22×C3—22no—
2486C22×C3—21no—
2487C22×C3—21no—
2488C22×C3—21no—
2489C22×C3—21no—
2490C22×C3—21no—
2491C22×C3—22no—
2492C22×C3—21no—
2493C22×C3—21no—
2494C22×C3—21no—
2495C22×C3—44no—
2496C22×C3—44no—
2497C22×C3—44no—
2498C22×C3—44no—
2499C22×C3—44no—
2500C22×C3—44no—
2501C22×C3—44no—
2502C22×C3—84no—
2503C22×C3C2×H(5,𝔽2)12yes—
2504C22×C3#58512yes—
2505C22×C3#58512yes—
2506C22×C3C2611yescharacteristic
2507C2×D3—22no—
2508C2×D3—22no—
2509C2×D3—24no—
2510C2×D3—22no—
2511C2×D3—22no—
2512C2×D3—24no—
2513C2×D3—24no—
2514C2×D3—22no—
2515C2×D3—22no—
2516C2×D3—84no—
2517C2×D3—84no—
2518C2×D3—164no—
2519C3×C4—22no—
2520C3×C4—21no—
2521C3×C4—21no—
2522C3×C4—21no—
2523C3×C4—21no—
2524C3×C4—22no—
2525C3×C4—21no—
2526C3×C4—21no—
2527C3×C4—22no—
2528C3×C4—22no—
2529C3×C4—22no—
2530C3×C4—22no—
2531C3×C4C2×H(5,𝔽2)12yes—
2532C3×C4C2×H(5,𝔽2)12yes—
2533Dic3—24no—
2534Dic3—22no—
2535Dic3—22no—
2536Dic3—22no—
2537Dic3—22no—
2538Dic3—24no—
2539Dic3—24no—
2540Dic3—22no—
2541Dic3—22no—
2542C23—22no—
2543C23—22no—
2544C23—22no—
2545C23—22no—
2546C23—22no—
2547C23—22no—
2548C23—22no—
2549C23—22no—
2550C23—22no—
2551C23—24no—
2552C23—32no—
2553C23—34no—
2554C23—32no—
2555C23—41no—
2556C23—41no—
2557C23—41no—
2558C23—41no—
2559C23—41no—
2560C23—41no—
2561C23—41no—
2562C23—41no—
2563C23—41no—
2564C23—41no—
2565C23—41no—
2566C23—41no—
2567C23—42no—
2568C23—42no—
2569C23—416no—
2570C23—64no—
2571C23—64no—
2572C23—122no—
2573C23—122no—
2574C23—122no—
2575C23—122no—
2576C23—124no—
2577C23—124no—
2578C23—124no—
2579C23C24×D312yes—
2580C23C24×D311yescharacteristic
2581C23C24×D311yescharacteristic
2582C23C24×D311yescharacteristic
2583C23C24×D311yescharacteristic
2584C23C24×D312yes—
2585C23C24×D311yescharacteristic
2586C23C24×D311yescharacteristic
2587C23C24×D311yescharacteristic
2588Q8—22no—
2589Q8—22no—
2590Q8—42no—
2591Q8—64no—
2592Q8—64no—
2593Q8—62no—
2594Q8—62no—
2595Q8—124no—
2596Q8—122no—
2597Q8—124no—
2598Q8—124no—
2599D4—24no—
2600D4—24no—
2601D4—24no—
2602D4—24no—
2603D4—22no—
2604D4—22no—
2605D4—42no—
2606D4—42no—
2607D4—42no—
2608D4—42no—
2609D4—42no—
2610D4—42no—
2611D4—42no—
2612D4—42no—
2613D4—42no—
2614D4—64no—
2615D4—64no—
2616D4—64no—
2617D4—68no—
2618D4—68no—
2619D4—64no—
2620D4—64no—
2621D4—64no—
2622D4—62no—
2623D4—62no—
2624D4—124no—
2625D4—122no—
2626D4—124no—
2627D4—124no—
2628D4—124no—
2629D4—122no—
2630D4—122no—
2631D4—124no—
2632D4—124no—
2633D4—122no—
2634D4—122no—
2635D4—122no—
2636D4—122no—
2637D4—124no—
2638D4—122no—
2639D4—124no—
2640D4—124no—
2641D4—124no—
2642D4—124no—
2643D4—122no—
2644D4—124no—
2645D4—124no—
2646C2×C4—22no—
2647C2×C4—22no—
2648C2×C4—22no—
2649C2×C4—24no—
2650C2×C4—22no—
2651C2×C4—22no—
2652C2×C4—22no—
2653C2×C4—22no—
2654C2×C4—22no—
2655C2×C4—22no—
2656C2×C4—22no—
2657C2×C4—22no—
2658C2×C4—22no—
2659C2×C4—22no—
2660C2×C4—22no—
2661C2×C4—22no—
2662C2×C4—24no—
2663C2×C4—24no—
2664C2×C4—32no—
2665C2×C4—32no—
2666C2×C4—34no—
2667C2×C4—34no—
2668C2×C4—32no—
2669C2×C4—32no—
2670C2×C4—32no—
2671C2×C4—34no—
2672C2×C4—32no—
2673C2×C4—41no—
2674C2×C4—41no—
2675C2×C4—41no—
2676C2×C4—41no—
2677C2×C4—41no—
2678C2×C4—41no—
2679C2×C4—41no—
2680C2×C4—41no—
2681C2×C4—41no—
2682C2×C4—41no—
2683C2×C4—41no—
2684C2×C4—41no—
2685C2×C4—42no—
2686C2×C4—42no—
2687C2×C4—42no—
2688C2×C4—42no—
2689C2×C4—64no—
2690C2×C4—64no—
2691C2×C4—64no—
2692C2×C4—64no—
2693C2×C4—122no—
2694C2×C4—122no—
2695C2×C4—124no—
2696C2×C4—124no—
2697C2×C4—124no—
2698C2×C4—124no—
2699C2×C4—124no—
2700C2×C4—124no—
2701C2×C4—124no—
2702C2×C4—124no—
2703C2×C4—122no—
2704C2×C4—124no—
2705C2×C4—122no—
2706C2×C4—122no—
2707C2×C4—122no—
2708C2×C4—124no—
2709C2×C4—124no—
2710C2×C4#100414yes—
2711C2×C4C24×D312yes—
2712C2×C4C24×D311yescharacteristic
2713C2×C4C24×D311yescharacteristic
2714C2×C4C24×D311yescharacteristic
2715C2×C4C24×D312yes—
2716C2×C4C24×D312yes—
2717C2×C4C24×D312yes—
2718C2×C4C24×D312yes—
2719C2×C4C24×D311yescharacteristic
2720C2×C4C24×D312yes—
2721C2×C4C24×D311yescharacteristic
2722C2×C4C24×D311yescharacteristic
2723C2×C4C24×D311yescharacteristic
2724C2×C4C24×D311yescharacteristic
2725C2×C3—22no—
2726C2×C3—22no—
2727C2×C3—22no—
2728C2×C3—42no—
2729C2×C3—41no—
2730C2×C3—41no—
2731C2×C3—41no—
2732C2×C3—41no—
2733C2×C3—42no—
2734C2×C3C22×H(5,𝔽2)11yescharacteristic
2735C2×C3C2×#58511yescharacteristic
2736C2×C3C2×#58511yescharacteristic
2737D3—42no—
2738D3—44no—
2739D3—42no—
2740C22—21no—
2741C22—21no—
2742C22—21no—
2743C22—21no—
2744C22—21no—
2745C22—21no—
2746C22—21no—
2747C22—21no—
2748C22—21no—
2749C22—21no—
2750C22—22no—
2751C22—22no—
2752C22—22no—
2753C22—22no—
2754C22—22no—
2755C22—21no—
2756C22—21no—
2757C22—21no—
2758C22—22no—
2759C22—21no—
2760C22—21no—
2761C22—21no—
2762C22—21no—
2763C22—21no—
2764C22—44no—
2765C22—44no—
2766C22—44no—
2767C22—44no—
2768C22—44no—
2769C22—44no—
2770C22—44no—
2771C22—62no—
2772C22—62no—
2773C22—64no—
2774C22—62no—
2775C22—62no—
2776C22—64no—
2777C22—64no—
2778C22—62no—
2779C22—62no—
2780C22—84no—
2781C22—244no—
2782C22—244no—
2783C22—484no—
2784C22C2×#100412yes—
2785C22#596412yes—
2786C22#596412yes—
2787C22C25×D311yescharacteristic
2788C4—21no—
2789C4—21no—
2790C4—21no—
2791C4—21no—
2792C4—21no—
2793C4—21no—
2794C4—22no—
2795C4—22no—
2796C4—22no—
2797C4—22no—
2798C4—22no—
2799C4—22no—
2800C4—62no—
2801C4—62no—
2802C4—64no—
2803C4—62no—
2804C4—62no—
2805C4—62no—
2806C4—64no—
2807C4—64no—
2808C4—62no—
2809C4C2×#100412yes—
2810C4C2×#100412yes—
2811C3#6282111yescharacteristic, complemented, Sylow
2812C2—22no—
2813C2—22no—
2814C2—22no—
2815C2—41no—
2816C2—41no—
2817C2—41no—
2818C2—41no—
2819C2—42no—
2820C2—42no—
2821C2—122no—
2822C2—124no—
2823C2—122no—
2824C2C22×#100411yescharacteristic
2825C2C2×#596411yescharacteristic
2826C2C2×#596411yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC2×C3×#525C2
hypercenterC2×#525D3
hypocenterC3#62821
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×#525

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×C3×#525C2semidirect
2. #87275C2semidirect
3. #87264C2semidirect
4. C2×#5791C2semidirect
5. C2×#5791C2semidirect
6. #86056C2semidirect
7. #86055C2semidirect
8. #86054C2semidirect
9. #86053C2semidirect
10. #86049C2semidirect
11. #86045C2semidirect
12. #86044C2semidirect
13. #86042C2semidirect
14. #86041C2semidirect
15. #86040C2semidirect
16. #86033C2semidirect
17. #86032C2semidirect
18. #86029C2semidirect
19. #86028C2semidirect
20. #86027C2semidirect
21. #86026C2semidirect
22. #86026C2semidirect
23. #86023C2semidirect
24. #86013C2semidirect
25. #85991C2semidirect
26. #85987C2semidirect
27. #85956C2semidirect
28. #85951C2semidirect
29. #85921C2semidirect
30. #85790C2semidirect
31. #85788C2semidirect
32. #85787C2semidirect
33. #85767C2semidirect
34. #85747C2semidirect
35. #85727C2semidirect
37. C22×C3×#41C22semidirect
38. C24×C3×C4C22semidirect
39. C2×#1010C22semidirect
40. C2×#1009C22semidirect
41. C22×#235C22semidirect
42. C22×#235C22semidirect
44. C3×#525C22semidirect
45. C3×#525C22semidirect
46. C3×#525C22semidirect
47. C3×#525C22semidirect
48. C3×#525C22semidirect
49. C3×#525C22semidirect
50. C3×#525C22semidirect
51. C3×#525C22semidirect
52. C3×#525C22semidirect
53. C3×#525C22semidirect
54. C3×#525C22semidirect
55. C2×C3×#123C22semidirect
56. C2×C3×C22⋊Q8C22semidirect
57. C2×C3×C22⋊Q8C22semidirect
58. C2×C3×#121C22semidirect
59. C2×C3×#121C22semidirect
60. C2×C3×#120C22semidirect
61. C2×C3×C4×D4C22semidirect
62. C2×C3×C4×D4C22semidirect
63. C2×C3×#117C22semidirect
64. C2×#953C22semidirect
65. C2×#953C22semidirect
66. #5834C22semidirect
67. #5833C22semidirect
68. #5833C22semidirect
69. #5833C22semidirect
70. #5833C22semidirect
71. #5831C22semidirect
72. #5830C22semidirect
73. #5830C22semidirect
74. #5829C22semidirect
75. #5829C22semidirect
76. #5827C22semidirect
77. #5827C22semidirect
78. #5825C22semidirect
79. #5825C22semidirect
80. #5824C22semidirect
81. #5824C22semidirect
82. #5817C22semidirect
83. Q8×#67C22semidirect
84. #5806C22semidirect
85. #5806C22semidirect
86. #5806C22semidirect
87. #5805C22semidirect
88. #5804C22semidirect
89. D4×#67C22semidirect
90. D4×#67C22semidirect
91. D4×#67C22semidirect
93. #5791C22semidirect
94. #5791C22semidirect
95. #5791C22semidirect
96. #5791C22semidirect
97. #5791C22semidirect
98. #5791C22semidirect
99. #5791C22semidirect
100. #5791C22semidirect
101. #5791C22semidirect
102. #5791C22semidirect
103. #5791C22semidirect
104. #5791C22semidirect
105. #5791C22semidirect
106. #5791C22semidirect
107. #5791C22semidirect
108. #5791C22semidirect
109. #5791C22semidirect
110. #5791C22semidirect
111. #5791C22semidirect
112. #5791C22semidirect
113. #5791C22semidirect
114. C2×#930C22semidirect
115. C2×#930C22semidirect
116. C2×#930C22semidirect
117. C2×#930C22semidirect
118. C2×#930C22semidirect
119. C2×#929C22semidirect
120. C2×#929C22semidirect
121. C2×C4×#67C22semidirect
122. C2×C4×#67C22semidirect
123. C2×C4×#67C22semidirect
124. C2×C4×#67C22semidirect
125. C2×#926C22semidirect
126. C2×#926C22semidirect
127. C2×#924C22semidirect
128. C2×#924C22semidirect
129. C2×#924C22semidirect
130. C2×#924C22semidirect
131. C2×#924C22semidirect
132. #5664C22semidirect
133. #5663C22semidirect
134. #5662C22semidirect
135. #5661C22semidirect
136. #5661C22semidirect
137. #5660C22semidirect
138. #5659C22semidirect
139. #5658C22semidirect
140. #5657C22semidirect
141. #5656C22semidirect
142. #5655C22semidirect
143. #5654C22semidirect
144. D3×#123C22semidirect
145. #5650C22semidirect
146. #5649C22semidirect
147. #5649C22semidirect
148. #5647C22semidirect
149. #5646C22semidirect
150. #5643C22semidirect
151. #5641C22semidirect
152. #5641C22semidirect
153. #5640C22semidirect
154. #5640C22semidirect
155. #5639C22semidirect
156. #5639C22semidirect
157. #5638C22semidirect
158. #5638C22semidirect
159. #5637C22semidirect
160. #5636C22semidirect
161. #5633C22semidirect
162. #5633C22semidirect
163. #5631C22semidirect
164. #5631C22semidirect
165. #5629C22semidirect
166. #5628C22semidirect
167. #5627C22semidirect
168. D3×C22⋊Q8C22semidirect
169. #5625C22semidirect
170. #5624C22semidirect
171. #5622C22semidirect
172. #5621C22semidirect
173. #5620C22semidirect
174. #5619C22semidirect
175. #5616C22semidirect
176. #5616C22semidirect
177. #5615C22semidirect
178. #5615C22semidirect
179. #5614C22semidirect
180. #5614C22semidirect
181. #5613C22semidirect
182. #5613C22semidirect
183. #5612C22semidirect
184. #5612C22semidirect
185. #5610C22semidirect
186. #5608C22semidirect
187. #5607C22semidirect
188. #5606C22semidirect
189. D3×#121C22semidirect
190. #5603C22semidirect
191. #5601C22semidirect
192. #5600C22semidirect
193. #5599C22semidirect
194. #5599C22semidirect
195. #5596C22semidirect
196. #5595C22semidirect
197. #5595C22semidirect
198. #5595C22semidirect
199. #5594C22semidirect
200. #5593C22semidirect
201. #5593C22semidirect
202. #5593C22semidirect
203. #5593C22semidirect
204. #5592C22semidirect
205. #5592C22semidirect
206. #5591C22semidirect
207. #5591C22semidirect
208. #5590C22semidirect
209. #5589C22semidirect
210. #5589C22semidirect
211. #5587C22semidirect
212. #5565C22semidirect
213. #5565C22semidirect
214. #5565C22semidirect
215. #5565C22semidirect
216. #5564C22semidirect
217. #5564C22semidirect
218. #5563C22semidirect
219. #5563C22semidirect
220. #5563C22semidirect
221. #5562C22semidirect
222. #5561C22semidirect
223. #5560C22semidirect
224. #5560C22semidirect
225. #5559C22semidirect
226. #5559C22semidirect
227. #5558C22semidirect
228. #5558C22semidirect
229. #5556C22semidirect
230. #5556C22semidirect
231. #5555C22semidirect
232. #5553C22semidirect
233. #5553C22semidirect
234. #5553C22semidirect
235. #5552C22semidirect
236. #5552C22semidirect
237. #5552C22semidirect
238. #5552C22semidirect
239. #5551C22semidirect
240. #5551C22semidirect
241. #5551C22semidirect
242. #5550C22semidirect
243. #5550C22semidirect
244. #5550C22semidirect
245. #5550C22semidirect
246. D4×D12C22semidirect
247. #5546C22semidirect
248. #5545C22semidirect
249. #5543C22semidirect
250. #5542C22semidirect
251. #5542C22semidirect
252. #5542C22semidirect
253. #5541C22semidirect
254. #5541C22semidirect
255. #5541C22semidirect
256. #5541C22semidirect
257. #5540C22semidirect
258. #5540C22semidirect
259. D4×Dic6C22semidirect
260. #5535C22semidirect
261. #5534C22semidirect
262. #5534C22semidirect
263. #5533C22semidirect
264. #5532C22semidirect
265. #5531C22semidirect
266. #5530C22semidirect
267. #5529C22semidirect
268. #5527C22semidirect
269. #5526C22semidirect
270. #5525C22semidirect
271. #5523C22semidirect
272. #5523C22semidirect
273. #5521C22semidirect
274. #5519C22semidirect
275. #5519C22semidirect
276. #5518C22semidirect
277. #5516C22semidirect
278. #5515C22semidirect
279. #5514C22semidirect
280. #5514C22semidirect
281. #5513C22semidirect
282. #5511C22semidirect
283. #5511C22semidirect
284. #5507C22semidirect
285. #5504C22semidirect
286. #5495C22semidirect
287. #5495C22semidirect
288. #5495C22semidirect
289. #5494C22semidirect
290. #5494C22semidirect
291. #5494C22semidirect
292. #5490C22semidirect
293. #5490C22semidirect
294. #5490C22semidirect
295. #5486C22semidirect
296. #5479C22semidirect
297. #5479C22semidirect
298. #5477C22semidirect
299. #5470C22semidirect
334. C2×#525D3semidirect
373. C2×#239C23semidirect
374. C2×D3×Q8C23semidirect
377. C2×#237C23semidirect
380. C2×D3×D4C23semidirect
394. C2×#235C23semidirect
395. C2×#235C23semidirect
398. C22×D12C23semidirect
403. C22×Dic6C23semidirect
497. #947C23semidirect
498. #947C23semidirect
499. #946C23semidirect
500. #946C23semidirect
501. #946C23semidirect
502. #946C23semidirect
503. Q8×Dic3C23semidirect
504. Q8×Dic3C23semidirect
505. #944C23semidirect
506. #944C23semidirect
511. #940C23semidirect
524. #939C23semidirect
525. #939C23semidirect
534. #938C23semidirect
535. #938C23semidirect
542. #937C23semidirect
547. #936C23semidirect
554. #935C23semidirect
559. D4×Dic3C23semidirect
560. D4×Dic3C23semidirect
583. #930C23semidirect
584. #930C23semidirect
585. #930C23semidirect
586. #930C23semidirect
587. #930C23semidirect
602. #929C23semidirect
603. #929C23semidirect
632. C4×#67C23semidirect
633. C4×#67C23semidirect
638. C2×(C2×D3)⋊C4C23semidirect
650. #926C23semidirect
651. #926C23semidirect
656. C2×C4⋊Dic3C23semidirect
657. C2×C4⋊Dic3C23semidirect
680. #924C23semidirect
681. #924C23semidirect
682. #924C23semidirect
683. #924C23semidirect
684. #924C23semidirect
689. C2×Dic3⋊C4C23semidirect
692. #898C23semidirect
693. #898C23semidirect
694. #898C23semidirect
695. #898C23semidirect
696. #898C23semidirect
697. #898C23semidirect
698. #897C23semidirect
699. #897C23semidirect
700. #897C23semidirect
701. #896C23semidirect
702. #896C23semidirect
703. #896C23semidirect
704. #896C23semidirect
705. #896C23semidirect
706. #896C23semidirect
707. #895C23semidirect
708. #895C23semidirect
709. #895C23semidirect
710. #894C23semidirect
711. #894C23semidirect
712. #894C23semidirect
713. #894C23semidirect
714. #894C23semidirect
715. #894C23semidirect
716. #893C23semidirect
717. #893C23semidirect
718. #893C23semidirect
719. #893C23semidirect
720. #893C23semidirect
721. #892C23semidirect
722. #892C23semidirect
723. #892C23semidirect
724. #892C23semidirect
725. #892C23semidirect
726. D3×C4⋊C4C23semidirect
727. D3×C4⋊C4C23semidirect
728. D3×C4⋊C4C23semidirect
729. D3×C4⋊C4C23semidirect
730. D3×C4⋊C4C23semidirect
731. #890C23semidirect
732. #890C23semidirect
733. #890C23semidirect
734. #889C23semidirect
735. #889C23semidirect
736. #889C23semidirect
737. #889C23semidirect
738. #889C23semidirect
739. #889C23semidirect
740. #888C23semidirect
741. #888C23semidirect
742. #888C23semidirect
743. #887C23semidirect
744. #887C23semidirect
745. #887C23semidirect
746. #887C23semidirect
747. #887C23semidirect
750. #886C23semidirect
759. #885C23semidirect
760. #885C23semidirect
761. #885C23semidirect
762. #885C23semidirect
771. #884C23semidirect
772. #884C23semidirect
773. #884C23semidirect
774. #884C23semidirect
783. #883C23semidirect
784. #883C23semidirect
785. #883C23semidirect
786. #883C23semidirect
789. #882C23semidirect
794. #67⋊C4C23semidirect
795. #67⋊C4C23semidirect
796. #67⋊C4C23semidirect
797. #67⋊C4C23semidirect
798. #67⋊C4C23semidirect
799. #67⋊C4C23semidirect
802. D3×C22⋊C4C23semidirect
803. D3×C22⋊C4C23semidirect
804. D3×C22⋊C4C23semidirect
813. #879C23semidirect
814. #879C23semidirect
815. #879C23semidirect
816. #879C23semidirect
821. #878C23semidirect
822. #878C23semidirect
825. #877C23semidirect
826. #877C23semidirect
827. #877C23semidirect
828. #876C23semidirect
829. #876C23semidirect
830. #875C23semidirect
831. #875C23semidirect
832. #875C23semidirect
833. #874C23semidirect
834. C4×D12C23semidirect
835. C4×D12C23semidirect
836. C4×D12C23semidirect
837. C4×D12C23semidirect
838. C4×D12C23semidirect
839. #872C23semidirect
840. #872C23semidirect
841. #870C23semidirect
842. #870C23semidirect
843. #870C23semidirect
844. #869C23semidirect
845. #869C23semidirect
846. #869C23semidirect
847. C4×Dic6C23semidirect
848. C4×Dic6C23semidirect
849. C4×Dic6C23semidirect
850. C4×Dic6C23semidirect
851. C4×Dic6C23semidirect
856. C22×#41C2×D3semidirect
857. C24×C4C2×D3semidirect
1062. #525C2×D3semidirect
1063. #525C2×D3semidirect
1064. #525C2×D3semidirect
1065. #525C2×D3semidirect
1066. #525C2×D3semidirect
1067. #525C2×D3semidirect
1068. #525C2×D3semidirect
1069. #525C2×D3semidirect
1070. #525C2×D3semidirect
1071. #525C2×D3semidirect
1072. #525C2×D3semidirect
1076. C2×#123C2×D3semidirect
1083. C2×C22⋊Q8C2×D3semidirect
1084. C2×C22⋊Q8C2×D3semidirect
1091. C2×#121C2×D3semidirect
1092. C2×#121C2×D3semidirect
1095. C2×#120C2×D3semidirect
1110. C2×C4×D4C2×D3semidirect
1111. C2×C4×D4C2×D3semidirect
1114. C2×#117C2×D3semidirect
2811. C3#62821semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C3×#5252
#872752
#872642
C2×#57912
#860562
#860552
#860542
#860532
#860492
#860452
#860442
#860422
#860412
#860402
#860332
#860322
#860292
#860282
#860272
#860262
#860232
#860132
#859912
#859872
#859562
#859512
#859212
#857902
#857882
#857872
#857672
#857472
#857272
#628213