Finite Group Databasebeta

← #11707757

Subgroups — #11707757

Order 768.

7900 conjugacy classes of subgroups.

The subgroup lattice has 2778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3519C211yesmaximal, characteristic, complemented
2#86964C211yesmaximal, characteristic, complemented
3#86959C211yesmaximal, characteristic, complemented
4#86939C211yesmaximal, characteristic, complemented
5#86936C211yesmaximal, characteristic, complemented
6#86895C212yesmaximal, complemented
7#86888C212yesmaximal, complemented
8#86886C212yesmaximal, complemented
9#86876C212yesmaximal, complemented
10D3×#550C211yesmaximal, characteristic, complemented
11#86771C211yesmaximal, characteristic, complemented
12#86665C214yesmaximal, complemented
13#86653C212yesmaximal, complemented
14#86650C214yesmaximal, complemented
15#86629C212yesmaximal, complemented
16#86624C211yesmaximal, characteristic, complemented
17#86616C212yesmaximal, complemented
18#86608C211yesmaximal, characteristic, complemented
19#86608C212yesmaximal, complemented
20#86493C212yesmaximal, complemented
21#86476C212yesmaximal, complemented
22#86401C214yesmaximal, complemented
23#86400C214yesmaximal, complemented
24#86242C211yesmaximal, characteristic, complemented
25#86229C211yesmaximal, characteristic, complemented
26#86172C211yesmaximal, characteristic, complemented
27#86154C211yesmaximal, characteristic, complemented
28#86058C212yesmaximal, complemented
29#86037C212yesmaximal, complemented
30#85950C212yesmaximal, complemented
31#85949C212yesmaximal, complemented
32#85871C212yesmaximal, complemented
33#85862C212yesmaximal, complemented
34#85785C211yesmaximal, characteristic, complemented
35C2×#5553C211yesmaximal, characteristic, complemented
36#63014—31nomaximal, Sylow
37C2×#1009C2212yescomplemented
38C2×D3×#41C2212yescomplemented
39C2×#1004C2212yescomplemented
40C2×#1004C2214yescomplemented
41C22×#235C2212yescomplemented
42C3×#555C2211yescharacteristic, complemented
43C3×#554C2211yescharacteristic, complemented
44C3×#553C2212yescomplemented
45C3×#553C2212yescomplemented
46C3×#550C2211yescharacteristic, complemented
47C3×#546C2212yescomplemented
48C3×#546C2214yescomplemented
49C3×D42C2212yescomplemented
50C3×D42C2211yescharacteristic, complemented
51C3×#540C2212yescomplemented
52C3×#538C2214yescomplemented
53C3×#532C2211yescharacteristic, complemented
54C3×#529C2211yescharacteristic, complemented
55C3×#525C2212yescomplemented
56C2×C3×#121C2212yescomplemented
57C3×#518C2212yescomplemented
58C2×C3×C4×D4C2211yescharacteristic, complemented
59#5834C2212yescomplemented
60#5832C2212yescomplemented
61#5830C2212yescomplemented
62#5829C2212yescomplemented
63#5824C2214yescomplemented
64#5806C2211yescharacteristic, complemented
65#5805C2212yescomplemented
66#5805C2212yescomplemented
67#5804C2214yescomplemented
68C2×#940C2212yescomplemented
69C2×#940C2212yescomplemented
70D4×#67C2211yescharacteristic, complemented
71D4×#67C2212yescomplemented
72D4×#67C2212yescomplemented
73D4×#67C2214yescomplemented
74D4×#67C2212yescomplemented
75D4×#67C2214yescomplemented
76D4×#67C2212yescomplemented
77#5791C2212yescomplemented
78C2×#930C2212yescomplemented
79C2×C4×#67C2212yescomplemented
80#5730C2211yescharacteristic, complemented
81#5725C2211yescharacteristic, complemented
82#5725C2211yescharacteristic, complemented
83#5722C2211yescharacteristic, complemented
84#5718C2212yescomplemented
85#5718C2211yescharacteristic, complemented
86#5718C2212yescomplemented
87#5715C2212yescomplemented
88D3×#127C2212yescomplemented
89D3×#127C2211yescharacteristic, complemented
90D3×#127C2211yescharacteristic, complemented
91#5713C2211yescharacteristic, complemented
92#5711C2214yescomplemented
93#5709C2214yescomplemented
94#5708C2212yescomplemented
95#5706C2214yescomplemented
96#5705C2214yescomplemented
97#5704C2214yescomplemented
98#5702C2212yescomplemented
99#5697C2212yescomplemented
100#5697C2212yescomplemented
101#5694C2211yescharacteristic, complemented
102#5691C2212yescomplemented
103#5690C2212yescomplemented
104#5690C2212yescomplemented
105#5685C2211yescharacteristic, complemented
106#5678C2214yescomplemented
107#5677C2211yescharacteristic, complemented
108#5676C2214yescomplemented
109#5674C2212yescomplemented
110#5674C2212yescomplemented
111#5674C2212yescomplemented
112#5671C2211yescharacteristic, complemented
113#5670C2214yescomplemented
114#5669C2214yescomplemented
115#5668C2214yescomplemented
116#5667C2214yescomplemented
117#5667C2214yescomplemented
118#5666C2214yescomplemented
119#5663C2214yescomplemented
120#5661C2214yescomplemented
121#5657C2214yescomplemented
122#5656C2214yescomplemented
123#5655C2214yescomplemented
124#5655C2214yescomplemented
125#5655C2212yescomplemented
126#5654C2214yescomplemented
127#5654C2214yescomplemented
128#5653C2214yescomplemented
129#5653C2214yescomplemented
130#5650C2212yescomplemented
131#5647C2214yescomplemented
132#5643C2212yescomplemented
133#5642C2211yescharacteristic, complemented
134#5640C2214yescomplemented
135#5633C2212yescomplemented
136#5632C2211yescharacteristic, complemented
137#5631C2212yescomplemented
138#5631C2214yescomplemented
139#5630C2212yescomplemented
140#5629C2212yescomplemented
141#5629C2214yescomplemented
142#5620C2214yescomplemented
143#5620C2214yescomplemented
144#5619C2212yescomplemented
145#5619C2212yescomplemented
146#5619C2212yescomplemented
147#5615C2214yescomplemented
148#5615C2214yescomplemented
149#5612C2212yescomplemented
150#5612C2212yescomplemented
151#5612C2212yescomplemented
152#5612C2212yescomplemented
153#5611C2212yescomplemented
154#5611C2211yescharacteristic, complemented
155#5610C2214yescomplemented
156#5610C2214yescomplemented
157#5610C2214yescomplemented
158#5609C2212yescomplemented
159#5609C2212yescomplemented
160#5609C2212yescomplemented
161#5609C2212yescomplemented
162#5609C2212yescomplemented
163#5609C2212yescomplemented
164#5609C2214yescomplemented
165#5609C2212yescomplemented
166#5608C2214yescomplemented
167#5608C2214yescomplemented
168#5607C2212yescomplemented
169#5607C2214yescomplemented
170#5607C2214yescomplemented
171#5606C2214yescomplemented
172#5605C2214yescomplemented
173D3×#121C2212yescomplemented
174D3×#121C2214yescomplemented
175D3×#121C2212yescomplemented
176D3×#121C2214yescomplemented
177#5600C2212yescomplemented
178#5599C2212yescomplemented
179#5599C2214yescomplemented
180#5599C2212yescomplemented
181#5599C2212yescomplemented
182#5599C2212yescomplemented
183#5599C2214yescomplemented
184#5598C2212yescomplemented
185#5598C2211yescharacteristic, complemented
186#5597C2214yescomplemented
187#5597C2214yescomplemented
188#5596C2212yescomplemented
189#5596C2212yescomplemented
190#5596C2212yescomplemented
191#5596C2212yescomplemented
192#5596C2212yescomplemented
193#5595C2214yescomplemented
194#5595C2214yescomplemented
195#5592C2214yescomplemented
196#5592C2214yescomplemented
197#5592C2214yescomplemented
198#5592C2214yescomplemented
199#5591C2214yescomplemented
200#5590C2214yescomplemented
201#5590C2214yescomplemented
202#5590C2214yescomplemented
203#5589C2214yescomplemented
204#5589C2214yescomplemented
205#5585C2211yescharacteristic, complemented
206#5578C2211yescharacteristic, complemented
207#5577C2211yescharacteristic, complemented
208C4×D3×Q8C2211yescharacteristic, complemented
209#5562C2214yescomplemented
210#5562C2212yescomplemented
211#5562C2214yescomplemented
212#5561C2212yescomplemented
213#5560C2214yescomplemented
214#5559C2211yescharacteristic, complemented
215#5559C2212yescomplemented
216#5559C2212yescomplemented
217#5559C2212yescomplemented
218#5558C2211yescharacteristic, complemented
219#5557C2211yescharacteristic, complemented
220#5557C2211yescharacteristic, complemented
221#5556C2212yescomplemented
222#5556C2214yescomplemented
223#5554C2211yescharacteristic, complemented
224#5554C2214yescomplemented
225#5553C2212yescomplemented
226#5553C2211yescharacteristic, complemented
227#5553C2211yescharacteristic, complemented
228#5553C2211yescharacteristic, complemented
229#5553C2212yescomplemented
230#5553C2212yescomplemented
231#5553C2212yescomplemented
232#5553C2212yescomplemented
233#5553C2212yescomplemented
234#5553C2212yescomplemented
235#5553C2214yescomplemented
236#5553C2211yescharacteristic, complemented
237#5553C2211yescharacteristic, complemented
238#5553C2212yescomplemented
239#5550C2212yescomplemented
240#5550C2214yescomplemented
241D4×D12C2212yescomplemented
242D4×D12C2211yescharacteristic, complemented
243D4×D12C2212yescomplemented
244D4×D12C2212yescomplemented
245#5548C2214yescomplemented
246#5548C2211yescharacteristic, complemented
247#5548C2212yescomplemented
248#5548C2214yescomplemented
249#5547C2214yescomplemented
250#5547C2214yescomplemented
251#5547C2212yescomplemented
252#5546C2212yescomplemented
253#5545C2212yescomplemented
254C4×D3×D4C2214yescomplemented
255C4×D3×D4C2211yescharacteristic, complemented
256C4×D3×D4C2212yescomplemented
257#5540C2212yescomplemented
258#5540C2214yescomplemented
259#5539C2211yescharacteristic, complemented
260#5539C2212yescomplemented
261#5538C2212yescomplemented
262#5538C2212yescomplemented
263C4×#237C2211yescharacteristic, complemented
264C4×#237C2212yescomplemented
265C4×#237C2211yescharacteristic, complemented
266#5535C2212yescomplemented
267#5532C2212yescomplemented
268#5532C2212yescomplemented
269#5530C2212yescomplemented
270#5530C2212yescomplemented
271#5528C2212yescomplemented
272#5525C2212yescomplemented
273#5524C2212yescomplemented
274#5522C2212yescomplemented
275#5522C2212yescomplemented
276#5521C2212yescomplemented
277#5517C2212yescomplemented
278#5514C2211yescharacteristic, complemented
279#5511C2211yescharacteristic, complemented
280#5510C2212yescomplemented
281#5507C2212yescomplemented
282#5507C2212yescomplemented
283#5504C2212yescomplemented
284C2×#893C2212yescomplemented
285#5495C2212yescomplemented
286#5494C2214yescomplemented
287#5490C2212yescomplemented
288#5490C2214yescomplemented
289#5490C2214yescomplemented
290#5490C2214yescomplemented
291#5490C2214yescomplemented
292#5490C2214yescomplemented
293#5490C2214yescomplemented
294C2×#884C2214yescomplemented
295C2×#884C2214yescomplemented
296#5479C2211yescharacteristic, complemented
297C2×#874C2211yescharacteristic, complemented
298C4×#235C2211yescharacteristic, complemented
299C2×C4×Dic6C2211yescharacteristic, complemented
300#3548—31no—
301#3548—32no—
302#3546—32no—
303#3546—34no—
304#3543—32no—
305#3543—31no—
306#3543—32no—
307#3543—31no—
308#3542—32no—
309#3542—34no—
310#3542—34no—
311#3542—32no—
312#3522—31no—
313#3522—31no—
314#3519—31no—
315#3519—32no—
316#3519—32no—
317#3519D311yescharacteristic, complemented
318#3517—32no—
319#3508—31no—
320#3508—32no—
321#3498—32no—
322#3498—31no—
323#3498—31no—
324#3496—34no—
325#3496—32no—
326#3488—32no—
327#3488—32no—
328#3483—31no—
329#3482—31no—
330#3481—32no—
331#3481—31no—
332D4×#41—32no—
333C2×#550—31no—
334C2×#550—31no—
335C2×C3×#41C2312yes—
336C2×C3×#41C2312yes—
337C22×C3×D4C2314yes—
338C22×C3×D4C2312yes—
339C22×C3×D4C2312yes—
340C22×C3×D4C2311yescharacteristic
341C23×C3×C4C2312yes—
342C22×#67C2312yes—
343C22×#67C2314yes—
344C22×#67C2314yes—
345C22×#67C2314yes—
346C22×#67C2314yes—
347C22×#67C2314yes—
348C22×#67C2314yes—
349#1009—48no—
350D3×#41—48no—
351C2×#239C2312yes—
352C2×#239C2312yes—
353C2×#239C2312yes—
354C2×D3×Q8C2311yescharacteristic
355#1004—48no—
356#1004—416no—
357C2×#237C2312yes—
358C2×#237C2311yescharacteristic
359C2×#237C2312yes—
360C2×#237C2314yes—
361C2×#237C2314yes—
362C2×#237C2314yes—
363C2×#237C2314yes—
364C2×#237C2314yes—
365C2×#237C2311yescharacteristic
366C2×D3×D4C2314yes—
367C2×D3×D4C2314yes—
368C2×D3×D4C2314yes—
369C2×D3×D4C2314yes—
370C2×D3×D4C2314yes—
371C2×D3×D4C2312yes—
372C2×D3×D4C2312yes—
373C2×D3×D4C2312yes—
374C2×D3×D4C2314yes—
375C2×D3×D4C2312yes—
376C2×D3×D4C2312yes—
377C2×D3×D4C2314yes—
378C2×D3×D4C2312yes—
379C2×D3×D4C2311yescharacteristic
380C2×D3×D4C2312yes—
381C2×#235—48no—
382C2×#235C2312yes—
383C2×#235C2311yescharacteristic
384C2×#235C2312yes—
385C2×#235C2314yes—
386C2×#235C2314yes—
387C2×#235C2314yes—
388C2×#235C2314yes—
389C2×#235C2312yes—
390C2×#235C2312yes—
391C2×#235C2314yes—
392C2×#235C2314yes—
393C2×#235C2312yes—
394C2×#235C2312yes—
395C22×D12C2312yes—
396C22×D12C2314yes—
397C22×D12C2312yes—
398C22×D12C2312yes—
399C22×D12C2312yes—
400C22×C4×D3C2314yes—
401C22×C4×D3C2314yes—
402C22×C4×D3C2312yes—
403C22×Dic6C2311yescharacteristic
404C3×C4⋊Q8C2311yescharacteristic
405C3×#127C2311yescharacteristic
406C3×#127C2312yes—
407C3×#126C2312yes—
408C3×#126C2314yes—
409C3×#125C2311yescharacteristic
410C3×#125C2312yes—
411C3×#124C2314yes—
412C3×#124C2312yes—
413C3×#124C2311yescharacteristic
414C3×#123C2312yes—
415C3×#123C2314yes—
416C3×#123C2314yes—
417C3×#123C2314yes—
418C3×C22⋊Q8C2311yescharacteristic
419C3×C22⋊Q8C2312yes—
420C3×C22⋊Q8C2314yes—
421C3×#121C2312yes—
422C3×#121C2312yes—
423C3×#121C2312yes—
424C3×#121C2312yes—
425C3×#121C2312yes—
426C3×#121C2311yescharacteristic
427C3×#121C2314yes—
428C3×#121C2312yes—
429C3×#121C2314yes—
430C3×#121C2314yes—
431C3×#121C2312yes—
432C3×#121C2314yes—
433C3×#121C2314yes—
434C3×#120C2314yes—
435C3×#120C2314yes—
436C3×#120C2314yes—
437C3×C4×Q8C2311yescharacteristic
438C3×C4×D4C2312yes—
439C3×C4×D4C2311yescharacteristic
440C3×C4×D4C2311yescharacteristic
441C3×C4×D4C2312yes—
442C3×C4×D4C2312yes—
443C3×C4×D4C2311yescharacteristic
444C3×C4×D4C2314yes—
445C3×C4×D4C2312yes—
446C3×C4×D4C2312yes—
447C3×C4×D4C2314yes—
448C3×C4×D4C2312yes—
449C3×C4×D4C2314yes—
450C3×C4×D4C2311yescharacteristic
451C3×C4×D4C2312yes—
452C3×C4×D4C2311yescharacteristic
453C3×#117C2312yes—
454C3×#117C2312yes—
455C3×#117C2312yes—
456C2×C3×C4⋊C4C2311yescharacteristic
457C2×C3×C4⋊C4C2312yes—
458C2×C3×C22⋊C4C2312yes—
459C2×C3×C22⋊C4C2314yes—
460C2×C3×C22⋊C4C2314yes—
461C2×C3×C42C2311yescharacteristic
462#953C2314yes—
463#953C2314yes—
464#953C2314yes—
465#953C2314yes—
466#953C2312yes—
467#953C2312yes—
468C2×#217C2312yes—
469#947C2312yes—
470#947C2312yes—
471#947C2312yes—
472#946C2311yescharacteristic
473#946C2314yes—
474Q8×Dic3C2311yescharacteristic
475#944C2311yescharacteristic
476#944C2314yes—
477#940C2314yes—
478#940C2314yes—
479#940C2314yes—
480#940C2312yes—
481#940C2312yes—
482#940C2312yes—
483#940C2312yes—
484#940C2312yes—
485#940C2312yes—
486#940C2312yes—
487#940C2312yes—
488#940C2312yes—
489#940C2312yes—
490#940C2311yescharacteristic
491#940C2312yes—
492#940C2312yes—
493#940C2314yes—
494#940C2314yes—
495#940C2314yes—
496#940C2314yes—
497#939C2314yes—
498#939C2314yes—
499#939C2314yes—
500#939C2314yes—
501#939C2312yes—
502#939C2314yes—
503#939C2314yes—
504#939C2314yes—
505#939C2314yes—
506#939C2314yes—
507#939C2314yes—
508#939C2314yes—
509#939C2314yes—
510#939C2312yes—
511#939C2314yes—
512#939C2314yes—
513#939C2312yes—
514#939C2314yes—
515#938C2314yes—
516#938C2314yes—
517#938C2314yes—
518#938C2314yes—
519#938C2314yes—
520#938C2311yescharacteristic
521#938C2312yes—
522#938C2311yescharacteristic
523#938C2311yescharacteristic
524#938C2314yes—
525#938C2314yes—
526#937C2314yes—
527#937C2314yes—
528#937C2314yes—
529#937C2314yes—
530#937C2314yes—
531#937C2314yes—
532#937C2314yes—
533#937C2312yes—
534#937C2314yes—
535#937C2314yes—
536#937C2314yes—
537#936C2311yescharacteristic
538#936C2312yes—
539#936C2312yes—
540#936C2311yescharacteristic
541#935C2312yes—
542#935C2314yes—
543#935C2312yes—
544#935C2314yes—
545D4×Dic3C2312yes—
546D4×Dic3C2311yescharacteristic
547D4×Dic3C2312yes—
548D4×Dic3C2312yes—
549D4×Dic3C2311yescharacteristic
550D4×Dic3C2312yes—
551D4×Dic3C2311yescharacteristic
552D4×Dic3C2314yes—
553#930C2312yes—
554#930C2314yes—
555#930C2314yes—
556#930C2314yes—
557#930C2312yes—
558#930C2314yes—
559#930C2314yes—
560#930C2311yescharacteristic
561#930C2314yes—
562#930C2314yes—
563#930C2312yes—
564#930C2312yes—
565#930C2312yes—
566#930C2312yes—
567#930C2312yes—
568#930C2312yes—
569#929C2314yes—
570#929C2314yes—
571#929C2312yes—
572#929C2314yes—
573#929C2314yes—
574#929C2312yes—
575#929C2312yes—
576C4×#67C2311yescharacteristic
577C4×#67C2312yes—
578C4×#67C2314yes—
579C4×#67C2311yescharacteristic
580C4×#67C2314yes—
581C4×#67C2314yes—
582C4×#67C2314yes—
583C4×#67C2314yes—
584C4×#67C2311yescharacteristic
585C4×#67C2311yescharacteristic
586C4×#67C2312yes—
587C4×#67C2312yes—
588C4×#67C2312yes—
589C4×#67C2314yes—
590C4×#67C2312yes—
591C4×#67C2312yes—
592C4×#67C2312yes—
593C4×#67C2312yes—
594C4×#67C2312yes—
595C4×#67C2312yes—
596C4×#67C2312yes—
597C2×(C2×D3)⋊C4C2312yes—
598C2×(C2×D3)⋊C4C2314yes—
599C2×(C2×D3)⋊C4C2314yes—
600#926C2312yes—
601#926C2311yescharacteristic
602#926C2312yes—
603C2×C4⋊Dic3C2311yescharacteristic
604#924C2312yes—
605#924C2314yes—
606#924C2311yescharacteristic
607#924C2312yes—
608C2×Dic3⋊C4C2312yes—
609C2×Dic3⋊C4C2312yes—
610C2×Dic3⋊C4C2314yes—
611C2×C4×Dic3C2312yes—
612C2×C4×Dic3C2312yes—
613C2×C4×Dic3C2312yes—
614#898C2314yes—
615#898C2312yes—
616#898C2312yes—
617#898C2312yes—
618#897C2311yescharacteristic
619#897C2314yes—
620#897C2314yes—
621#897C2311yescharacteristic
622#897C2311yescharacteristic
623#897C2312yes—
624#896C2312yes—
625#896C2314yes—
626#896C2314yes—
627#896C2314yes—
628#896C2314yes—
629#896C2312yes—
630#896C2312yes—
631#895C2312yes—
632#895C2314yes—
633#895C2314yes—
634#895C2314yes—
635#895C2314yes—
636#895C2314yes—
637#895C2312yes—
638#895C2311yescharacteristic
639#895C2314yes—
640#895C2312yes—
641#895C2312yes—
642#895C2312yes—
643#895C2312yes—
644#894C2314yes—
645#894C2314yes—
646#894C2314yes—
647#894C2312yes—
648#894C2314yes—
649#894C2314yes—
650#894C2312yes—
651#894C2314yes—
652#894C2314yes—
653#893C2314yes—
654#893C2312yes—
655#893C2314yes—
656#893C2314yes—
657#893C2312yes—
658#893C2312yes—
659#893C2312yes—
660#893C2312yes—
661#893C2312yes—
662#893C2312yes—
663#893C2312yes—
664#893C2312yes—
665#893C2312yes—
666#893C2312yes—
667#893C2311yescharacteristic
668#892C2314yes—
669#892C2311yescharacteristic
670#892C2312yes—
671#892C2311yescharacteristic
672D3×C4⋊C4C2314yes—
673D3×C4⋊C4C2314yes—
674D3×C4⋊C4C2312yes—
675D3×C4⋊C4C2311yescharacteristic
676D3×C4⋊C4C2312yes—
677D3×C4⋊C4C2311yescharacteristic
678#890C2312yes—
679#890C2311yescharacteristic
680#890C2312yes—
681#890C2311yescharacteristic
682#890C2312yes—
683#889C2312yes—
684#889C2312yes—
685#889C2312yes—
686#889C2312yes—
687#888C2312yes—
688#888C2312yes—
689#888C2312yes—
690#888C2311yescharacteristic
691#888C2311yescharacteristic
692#888C2312yes—
693#887C2311yescharacteristic
694#887C2312yes—
695#887C2312yes—
696#887C2312yes—
697#887C2311yescharacteristic
698#887C2312yes—
699#887C2311yescharacteristic
700#886C2312yes—
701#886C2314yes—
702#886C2314yes—
703#886C2312yes—
704#885C2314yes—
705#885C2314yes—
706#885C2312yes—
707#885C2312yes—
708#885C2314yes—
709#885C2314yes—
710#885C2314yes—
711#885C2314yes—
712#885C2314yes—
713#885C2312yes—
714#885C2314yes—
715#885C2312yes—
716#884C2314yes—
717#884C2314yes—
718#884C2314yes—
719#884C2314yes—
720#884C2314yes—
721#884C2314yes—
722#884C2314yes—
723#884C2314yes—
724#884C2314yes—
725#884C2314yes—
726#884C2314yes—
727#884C2314yes—
728#884C2312yes—
729#884C2314yes—
730#884C2314yes—
731#884C2314yes—
732#884C2314yes—
733#884C2314yes—
734#884C2314yes—
735#884C2314yes—
736#884C2314yes—
737#884C2314yes—
738#884C2314yes—
739#884C2314yes—
740#884C2314yes—
741#884C2312yes—
742#884C2314yes—
743#884C2314yes—
744#884C2312yes—
745#884C2314yes—
746#883C2314yes—
747#883C2314yes—
748#883C2314yes—
749#883C2314yes—
750#883C2312yes—
751#883C2314yes—
752#883C2314yes—
753#883C2314yes—
754#883C2314yes—
755#883C2312yes—
756#883C2312yes—
757#883C2312yes—
758#882C2312yes—
759#882C2314yes—
760#882C2314yes—
761#882C2314yes—
762#882C2314yes—
763#882C2314yes—
764#882C2314yes—
765#882C2314yes—
766#882C2314yes—
767#882C2314yes—
768#882C2314yes—
769#882C2314yes—
770#67⋊C4C2312yes—
771#67⋊C4C2314yes—
772#67⋊C4C2314yes—
773#67⋊C4C2314yes—
774#67⋊C4C2314yes—
775#67⋊C4C2312yes—
776#67⋊C4C2312yes—
777#67⋊C4C2314yes—
778#67⋊C4C2314yes—
779#67⋊C4C2312yes—
780#67⋊C4C2312yes—
781#67⋊C4C2314yes—
782#67⋊C4C2314yes—
783D3×C22⋊C4C2314yes—
784D3×C22⋊C4C2314yes—
785D3×C22⋊C4C2314yes—
786D3×C22⋊C4C2314yes—
787D3×C22⋊C4C2312yes—
788D3×C22⋊C4C2314yes—
789D3×C22⋊C4C2314yes—
790#879C2312yes—
791#879C2312yes—
792#879C2312yes—
793#879C2312yes—
794#879C2314yes—
795#879C2312yes—
796#878C2312yes—
797#878C2312yes—
798#878C2312yes—
799#878C2314yes—
800#878C2312yes—
801#878C2312yes—
802#878C2314yes—
803#878C2312yes—
804#878C2312yes—
805#877C2312yes—
806#877C2312yes—
807#877C2314yes—
808#877C2312yes—
809#877C2312yes—
810#876C2312yes—
811#876C2314yes—
812#875C2314yes—
813#875C2312yes—
814#875C2311yescharacteristic
815#874C2312yes—
816#874C2312yes—
817#874C2312yes—
818#874C2311yescharacteristic
819#874C2311yescharacteristic
820#874C2312yes—
821C4×D12C2314yes—
822C4×D12C2314yes—
823C4×D12C2311yescharacteristic
824C4×D12C2314yes—
825C4×D12C2312yes—
826C4×D12C2312yes—
827C4×D12C2311yescharacteristic
828C4×D12C2311yescharacteristic
829#872C2314yes—
830#872C2314yes—
831#872C2311yescharacteristic
832#872C2311yescharacteristic
833#872C2312yes—
834#872C2312yes—
835C42×D3C2314yes—
836C42×D3C2312yes—
837C42×D3C2311yescharacteristic
838C42×D3C2311yescharacteristic
839#870C2311yescharacteristic
840C4×Dic6C2312yes—
841C4×Dic6C2311yescharacteristic
842C4×Dic6C2311yescharacteristic
843C4×Dic6C2311yescharacteristic
844C4×Dic6C2312yes—
845C4×Dic6C2312yes—
846C4×Dic6C2311yescharacteristic
847C4×Dic6C2311yescharacteristic
848C4×Dic6C2311yescharacteristic
849C4×Dic6C2312yes—
850C4×Dic6C2311yescharacteristic
851C2×H(5,𝔽2)—32no—
852C2×H(5,𝔽2)—32no—
853C2×H(5,𝔽2)—34no—
854C22×#41—32no—
855C22×#41—32no—
856#562—34no—
857#562—34no—
858#562—34no—
859#560—34no—
860#560—34no—
861#560—34no—
862#560—34no—
863#560—34no—
864#560—34no—
865#559—31no—
866#559—31no—
867#559—32no—
868#559—31no—
869#559—32no—
870#559—32no—
871Q82—31no—
872#557—31no—
873#556—32no—
874#556—31no—
875#555—34no—
876#555—32no—
877#555—32no—
878#555C2×D311yescharacteristic, complemented
879#554—31no—
880#554—32no—
881#554—32no—
882#554—31no—
883#554—32no—
884#554—31no—
885#554C2×D311yescharacteristic, complemented
886#553—34no—
887#553—34no—
888#553—32no—
889#553—31no—
890#553—34no—
891#553—32no—
892#553—32no—
893#553—31no—
894#553C2×D312yescomplemented
895#553C2×D312yescomplemented
896#552—32no—
897#552—31no—
898#552—32no—
899#552—31no—
900#551—34no—
901#551—34no—
902#551—32no—
903#551—32no—
904#550—32no—
905#550—31no—
906#550—32no—
907#550—32no—
908#550—32no—
909#550—34no—
910#550—32no—
911#550—32no—
912#550—32no—
913#550—34no—
914#550—31no—
915#550—31no—
916#550—32no—
917#550—31no—
918#550—32no—
919#550—32no—
920#550—31no—
921#550—34no—
922#550—32no—
923#550—32no—
924#550—31no—
925#550—31no—
926#550—32no—
927#550—32no—
928#550—32no—
929#550C2×D311yescharacteristic, complemented
930D4×Q8—31no—
931#548—31no—
932#548—32no—
933#548—32no—
934#548—31no—
935#547—34no—
936#547—34no—
937#547—32no—
938#547—34no—
939#547—32no—
940#547—34no—
941#547—31no—
942#547—32no—
943#547—32no—
944#547—32no—
945#546—32no—
946#546—31no—
947#546—34no—
948#546—34no—
949#546—34no—
950#546—32no—
951#546—32no—
952#546—34no—
953#546—32no—
954#546—32no—
955#546—32no—
956#546—34no—
957#546—34no—
958#546—34no—
959#546—32no—
960#546—31no—
961#546—34no—
962#546—34no—
963#546—32no—
964#546—34no—
965#546—34no—
966#546—34no—
967#546—34no—
968#546—34no—
969#546—34no—
970#546C2×D312yescomplemented
971#546C2×D314yescomplemented
972D42—31no—
973D42—34no—
974D42—32no—
975D42—34no—
976D42—32no—
977D42—32no—
978D42—32no—
979D42—32no—
980D42—32no—
981D42—32no—
982D42—34no—
983D42—32no—
984D42—32no—
985D42—32no—
986D42—32no—
987D42—34no—
988D42—34no—
989D42—34no—
990D42—32no—
991D42—31no—
992D42—32no—
993D42—32no—
994D42C2×D311yescharacteristic, complemented
995D42C2×D312yescomplemented
996#542—34no—
997#542—34no—
998#542—32no—
999#542—32no—
1000#540—32no—
1001#540—32no—
1002#540—34no—
1003#540—34no—
1004#540—34no—
1005#540—32no—
1006#540—32no—
1007#540—32no—
1008#540—34no—
1009#540—34no—
1010#540—32no—
1011#540—32no—
1012#540C2×D312yescomplemented
1013#538—34no—
1014#538—34no—
1015#538—34no—
1016#538—34no—
1017#538—34no—
1018#538C2×D314yescomplemented
1019#537—32no—
1020#537—34no—
1021#537—34no—
1022#537—34no—
1023#537—34no—
1024#537—34no—
1025#537—32no—
1026#535—32no—
1027#535—32no—
1028#535—32no—
1029#535—32no—
1030#535—32no—
1031#535—32no—
1032#535—32no—
1033#535—34no—
1034#535—34no—
1035#535—32no—
1036#535—34no—
1037#535—34no—
1038#535—34no—
1039#535—34no—
1040#535—32no—
1041#534—34no—
1042#534—34no—
1043#534—34no—
1044#534—34no—
1045#534—34no—
1046#534—34no—
1047#533—31no—
1048#533—32no—
1049#532—32no—
1050#532—31no—
1051#532—31no—
1052#532—34no—
1053#532—32no—
1054#532—32no—
1055#532—32no—
1056#532—32no—
1057#532—32no—
1058#532—34no—
1059#532—31no—
1060#532—34no—
1061#532—32no—
1062#532C2×D311yescharacteristic, complemented
1063C2×#127—32no—
1064C2×#127—32no—
1065C2×#127—32no—
1066C2×#127—31no—
1067C2×#127—31no—
1068C2×#127—31no—
1069#529—34no—
1070#529—32no—
1071#529—32no—
1072#529—32no—
1073#529—31no—
1074#529—32no—
1075#529—31no—
1076#529—32no—
1077#529—31no—
1078#529C2×D311yescharacteristic, complemented
1079#525—32no—
1080#525—34no—
1081#525—34no—
1082#525—34no—
1083#525—34no—
1084#525—32no—
1085#525—32no—
1086#525C2×D312yescomplemented
1087C2×#121—32no—
1088C2×#121—34no—
1089C2×#121—32no—
1090C2×#121—32no—
1091C2×#121—34no—
1092C2×#121—34no—
1093C2×#121—34no—
1094C2×#121C2×D312yescomplemented
1095#520—32no—
1096#520—32no—
1097#518—32no—
1098#518—32no—
1099#518C2×D312yescomplemented
1100C4×#41—32no—
1101C4×#41—31no—
1102C4×#41—31no—
1103C4×#41—32no—
1104C4×#41—32no—
1105C4×#41—31no—
1106C2×C4×Q8—31no—
1107C2×C4×Q8—31no—
1108C2×C4×D4—32no—
1109C2×C4×D4—32no—
1110C2×C4×D4—31no—
1111C2×C4×D4—34no—
1112C2×C4×D4—32no—
1113C2×C4×D4C2×D311yescharacteristic, complemented
1114C24×C3C2412yes—
1115C24×C3C2414yes—
1116C23×D3C2414yes—
1117C23×D3C2412yes—
1118C23×D3C2414yes—
1119C23×D3C2414yes—
1120C23×D3C2414yes—
1121C3×#41—44no—
1122C3×#41—44no—
1123C2×C3×Q8C2411yescharacteristic
1124C2×C3×Q8C2412yes—
1125C2×C3×D4—44no—
1126C2×C3×D4—42no—
1127C2×C3×D4—44no—
1128C2×C3×D4—48no—
1129C2×C3×D4C2412yes—
1130C2×C3×D4C2411yescharacteristic
1131C2×C3×D4C2414yes—
1132C2×C3×D4C2412yes—
1133C2×C3×D4C2411yescharacteristic
1134C2×C3×D4C2412yes—
1135C2×C3×D4C2411yescharacteristic
1136C2×C3×D4C2412yes—
1137C2×C3×D4C2412yes—
1138C2×C3×D4C2414yes—
1139C2×C3×D4C2414yes—
1140C2×C3×D4C2414yes—
1141C2×C3×D4C2414yes—
1142C2×C3×D4C2414yes—
1143C22×C3×C4—44no—
1144C22×C3×C4C2411yescharacteristic
1145C22×C3×C4C2412yes—
1146C22×C3×C4C2412yes—
1147C22×C3×C4C2411yescharacteristic
1148C22×C3×C4C2411yescharacteristic
1149C22×C3×C4C2412yes—
1150C22×C3×C4C2412yes—
1151C22×C3×C4C2414yes—
1152C22×C3×C4C2412yes—
1153C22×C3×C4C2414yes—
1154C22×C3×C4C2412yes—
1155C22×C3×C4C2414yes—
1156C2×#67—28no—
1157C2×#67—48no—
1158C2×#67—48no—
1159C2×#67—48no—
1160C2×#67—48no—
1161C2×#67—48no—
1162C2×#67—48no—
1163C2×#67C2414yes—
1164C2×#67C2412yes—
1165C2×#67C2412yes—
1166C2×#67C2414yes—
1167C2×#67C2414yes—
1168C2×#67C2412yes—
1169C2×#67C2412yes—
1170C2×#67C2414yes—
1171C2×#67C2412yes—
1172C2×#67C2411yescharacteristic
1173C2×#67C2414yes—
1174C2×#67C2414yes—
1175C2×#67C2412yes—
1176C2×#67C2414yes—
1177C2×#67C2412yes—
1178C2×#67C2414yes—
1179C2×#67C2414yes—
1180C2×#67C2414yes—
1181C2×#67C2414yes—
1182C2×#67C2414yes—
1183C2×#67C2414yes—
1184C2×#67C2414yes—
1185C2×#67C2414yes—
1186C2×#67C2414yes—
1187C2×#67C2412yes—
1188C2×#67C2412yes—
1189C2×#67C2414yes—
1190C2×#67C2414yes—
1191C2×#67C2414yes—
1192C2×#67C2411yescharacteristic
1193C22×Dic3C2412yes—
1194C22×Dic3C2412yes—
1195C22×Dic3C2414yes—
1196C22×Dic3C2412yes—
1197C22×Dic3C2412yes—
1198C22×Dic3C2412yes—
1199C22×Dic3C2412yes—
1200C22×Dic3C2414yes—
1201C22×Dic3C2412yes—
1202#239—44no—
1203#239—44no—
1204#239—44no—
1205D3×Q8—24no—
1206#237—28no—
1207#237—24no—
1208#237—28no—
1209#237—42no—
1210#237—48no—
1211#237—48no—
1212#237—48no—
1213#237—48no—
1214#237—48no—
1215D3×D4—216no—
1216D3×D4—42no—
1217D3×D4—44no—
1218D3×D4—44no—
1219D3×D4—44no—
1220D3×D4—44no—
1221D3×D4—44no—
1222D3×D4—48no—
1223D3×D4—48no—
1224D3×D4—44no—
1225D3×D4—48no—
1226D3×D4—44no—
1227D3×D4—48no—
1228D3×D4—48no—
1229D3×D4—48no—
1230#235—24no—
1231#235—28no—
1232#235—28no—
1233#235—48no—
1234#235—48no—
1235#235—48no—
1236#235—48no—
1237#235—48no—
1238#235—44no—
1239#235—44no—
1240#235—44no—
1241#235—44no—
1242#235—48no—
1243C2×D12—44no—
1244C2×D12—44no—
1245C2×D12—44no—
1246C2×D12—48no—
1247C2×D12—44no—
1248C2×D12C2411yescharacteristic
1249C2×D12C2412yes—
1250C2×D12C2412yes—
1251C2×D12C2411yescharacteristic
1252C2×D12C2414yes—
1253C2×D12C2412yes—
1254C2×D12C2412yes—
1255C2×D12C2414yes—
1256C2×D12C2414yes—
1257C2×D12C2414yes—
1258C2×D12C2412yes—
1259C2×D12C2414yes—
1260C2×D12C2412yes—
1261C2×D12C2414yes—
1262C2×D12C2414yes—
1263C2×D12C2414yes—
1264C2×D12C2412yes—
1265C2×C4×D3—48no—
1266C2×C4×D3—48no—
1267C2×C4×D3—44no—
1268C2×C4×D3C2411yescharacteristic
1269C2×C4×D3C2411yescharacteristic
1270C2×C4×D3C2411yescharacteristic
1271C2×C4×D3C2411yescharacteristic
1272C2×C4×D3C2414yes—
1273C2×C4×D3C2411yescharacteristic
1274C2×C4×D3C2411yescharacteristic
1275C2×C4×D3C2412yes—
1276C2×C4×D3C2412yes—
1277C2×C4×D3C2414yes—
1278C2×C4×D3C2412yes—
1279C2×C4×D3C2414yes—
1280C2×C4×D3C2414yes—
1281C2×C4×D3C2412yes—
1282C2×C4×D3C2412yes—
1283C2×C4×D3C2414yes—
1284C2×C4×D3C2414yes—
1285C2×C4×D3C2414yes—
1286C2×C4×D3C2414yes—
1287C2×C4×D3C2414yes—
1288C2×C4×D3C2414yes—
1289C2×Dic6—24no—
1290C2×Dic6C2411yescharacteristic
1291C2×Dic6C2412yes—
1292C2×Dic6C2411yescharacteristic
1293C2×Dic6C2411yescharacteristic
1294C2×Dic6C2412yes—
1295C2×Dic6C2412yes—
1296C2×Dic6C2414yes—
1297C2×Dic6C2412yes—
1298C2×Dic6C2411yescharacteristic
1299C3×C4⋊C4C2412yes—
1300C3×C4⋊C4C2411yescharacteristic
1301C3×C4⋊C4C2412yes—
1302C3×C4⋊C4C2412yes—
1303C3×C4⋊C4C2412yes—
1304C3×C4⋊C4C2411yescharacteristic
1305C3×C4⋊C4C2411yescharacteristic
1306C3×C4⋊C4C2412yes—
1307C3×C4⋊C4C2411yescharacteristic
1308C3×C4⋊C4C2412yes—
1309C3×C4⋊C4C2412yes—
1310C3×C4⋊C4C2414yes—
1311C3×C4⋊C4C2414yes—
1312C3×C22⋊C4C2412yes—
1313C3×C22⋊C4C2412yes—
1314C3×C22⋊C4C2412yes—
1315C3×C22⋊C4C2414yes—
1316C3×C22⋊C4C2412yes—
1317C3×C22⋊C4C2412yes—
1318C3×C22⋊C4C2412yes—
1319C3×C22⋊C4C2414yes—
1320C3×C22⋊C4C2412yes—
1321C3×C22⋊C4C2412yes—
1322C3×C22⋊C4C2412yes—
1323C3×C22⋊C4C2414yes—
1324C3×C22⋊C4C2414yes—
1325C3×C22⋊C4C2414yes—
1326C3×C22⋊C4C2414yes—
1327C3×C22⋊C4C2414yes—
1328C3×C42C2411yescharacteristic
1329C3×C42C2411yescharacteristic
1330C3×C42C2411yescharacteristic
1331C3×C42C2412yes—
1332C3×C42C2411yescharacteristic
1333C3×C42C2414yes—
1334#217C2411yescharacteristic
1335#217C2412yes—
1336#217C2412yes—
1337#217C2412yes—
1338#217C2414yes—
1339#217C2412yes—
1340#217C2412yes—
1341#217C2411yescharacteristic
1342#217C2414yes—
1343#217C2412yes—
1344#217C2414yes—
1345#217C2412yes—
1346#217C2414yes—
1347#217C2412yes—
1348#217C2412yes—
1349#217C2412yes—
1350#217C2412yes—
1351(C2×D3)⋊C4C2411yescharacteristic
1352(C2×D3)⋊C4C2411yescharacteristic
1353(C2×D3)⋊C4C2411yescharacteristic
1354(C2×D3)⋊C4C2411yescharacteristic
1355(C2×D3)⋊C4C2414yes—
1356(C2×D3)⋊C4C2414yes—
1357(C2×D3)⋊C4C2412yes—
1358(C2×D3)⋊C4C2412yes—
1359(C2×D3)⋊C4C2412yes—
1360(C2×D3)⋊C4C2414yes—
1361(C2×D3)⋊C4C2414yes—
1362(C2×D3)⋊C4C2412yes—
1363(C2×D3)⋊C4C2412yes—
1364(C2×D3)⋊C4C2412yes—
1365(C2×D3)⋊C4C2412yes—
1366(C2×D3)⋊C4C2414yes—
1367(C2×D3)⋊C4C2414yes—
1368(C2×D3)⋊C4C2414yes—
1369(C2×D3)⋊C4C2414yes—
1370(C2×D3)⋊C4C2414yes—
1371(C2×D3)⋊C4C2414yes—
1372(C2×D3)⋊C4C2412yes—
1373(C2×D3)⋊C4C2412yes—
1374(C2×D3)⋊C4C2412yes—
1375(C2×D3)⋊C4C2414yes—
1376(C2×D3)⋊C4C2414yes—
1377(C2×D3)⋊C4C2414yes—
1378(C2×D3)⋊C4C2412yes—
1379(C2×D3)⋊C4C2414yes—
1380(C2×D3)⋊C4C2414yes—
1381(C2×D3)⋊C4C2412yes—
1382C4⋊Dic3C2412yes—
1383C4⋊Dic3C2411yescharacteristic
1384C4⋊Dic3C2411yescharacteristic
1385C4⋊Dic3C2411yescharacteristic
1386C4⋊Dic3C2411yescharacteristic
1387C4⋊Dic3C2411yescharacteristic
1388C4⋊Dic3C2412yes—
1389C4⋊Dic3C2412yes—
1390C4⋊Dic3C2411yescharacteristic
1391C4⋊Dic3C2412yes—
1392C4⋊Dic3C2412yes—
1393C4⋊Dic3C2414yes—
1394C4⋊Dic3C2412yes—
1395C4⋊Dic3C2412yes—
1396Dic3⋊C4C2412yes—
1397Dic3⋊C4C2412yes—
1398Dic3⋊C4C2412yes—
1399Dic3⋊C4C2412yes—
1400Dic3⋊C4C2411yescharacteristic
1401Dic3⋊C4C2411yescharacteristic
1402Dic3⋊C4C2411yescharacteristic
1403Dic3⋊C4C2411yescharacteristic
1404Dic3⋊C4C2412yes—
1405Dic3⋊C4C2412yes—
1406Dic3⋊C4C2412yes—
1407Dic3⋊C4C2412yes—
1408Dic3⋊C4C2412yes—
1409Dic3⋊C4C2412yes—
1410Dic3⋊C4C2412yes—
1411Dic3⋊C4C2412yes—
1412Dic3⋊C4C2412yes—
1413Dic3⋊C4C2412yes—
1414Dic3⋊C4C2412yes—
1415Dic3⋊C4C2414yes—
1416Dic3⋊C4C2414yes—
1417Dic3⋊C4C2412yes—
1418Dic3⋊C4C2412yes—
1419Dic3⋊C4C2412yes—
1420Dic3⋊C4C2414yes—
1421Dic3⋊C4C2412yes—
1422Dic3⋊C4C2412yes—
1423C4×Dic3C2411yescharacteristic
1424C4×Dic3C2412yes—
1425C4×Dic3C2411yescharacteristic
1426C4×Dic3C2412yes—
1427C4×Dic3C2412yes—
1428C4×Dic3C2412yes—
1429C4×Dic3C2411yescharacteristic
1430C4×Dic3C2411yescharacteristic
1431C4×Dic3C2412yes—
1432C4×Dic3C2412yes—
1433C4×Dic3C2412yes—
1434C4×Dic3C2411yescharacteristic
1435C4×Dic3C2411yescharacteristic
1436C4×Dic3C2412yes—
1437C4×Dic3C2414yes—
1438C4×Dic3C2412yes—
1439C4×Dic3C2412yes—
1440C4×Dic3C2412yes—
1441H(5,𝔽2)—1216no—
1442H(5,𝔽2)—128no—
1443H(5,𝔽2)—128no—
1444C2×#41—32no—
1445C2×#41—32no—
1446C2×#41—32no—
1447C2×#41—32no—
1448C2×#41—31no—
1449C2×#41—32no—
1450C2×#41—31no—
1451C2×#41—34no—
1452C2×#41—34no—
1453C2×#41—34no—
1454C2×#41—34no—
1455C2×#41—34no—
1456C2×#41—31no—
1457C2×#41—32no—
1458C2×#41—32no—
1459C2×#41—32no—
1460C2×#41—32no—
1461C2×#41—34no—
1462C2×#41—34no—
1463C2×#41—32no—
1464C2×#41—34no—
1465C2×#41—34no—
1466C2×#41—34no—
1467C2×#41—34no—
1468C2×#41—32no—
1469C2×#41—128no—
1470C2×#41—128no—
1471C2×#41C22×D312yes—
1472C2×#41C22×D312yes—
1473C22×Q8—31no—
1474C22×Q8—31no—
1475C22×D4—32no—
1476C22×D4—34no—
1477C22×D4—34no—
1478C22×D4—34no—
1479C22×D4—34no—
1480C22×D4—34no—
1481C22×D4—34no—
1482C22×D4—34no—
1483C22×D4—31no—
1484C22×D4—32no—
1485C22×D4—32no—
1486C22×D4—34no—
1487C22×D4—32no—
1488C22×D4—34no—
1489C22×D4—32no—
1490C22×D4—34no—
1491C22×D4—34no—
1492C22×D4—34no—
1493C22×D4—34no—
1494C22×D4—32no—
1495C22×D4—32no—
1496C22×D4—32no—
1497C22×D4—32no—
1498C22×D4—32no—
1499C22×D4—32no—
1500C22×D4—32no—
1501C22×D4—34no—
1502C22×D4C22×D311yescharacteristic
1503C22×D4C22×D312yes—
1504C22×D4C22×D314yes—
1505C22×D4C22×D312yes—
1506C23×C4—34no—
1507C23×C4—34no—
1508C23×C4—32no—
1509C23×C4C22×D312yes—
1510C4⋊Q8—31no—
1511C4⋊Q8—34no—
1512C4⋊Q8—31no—
1513C4⋊Q8—32no—
1514C4⋊Q8—32no—
1515C4⋊Q8—31no—
1516C4⋊Q8—32no—
1517C4⋊Q8—32no—
1518C4⋊Q8C22×D311yescharacteristic
1519#127—32no—
1520#127—32no—
1521#127—32no—
1522#127—31no—
1523#127—32no—
1524#127—34no—
1525#127—32no—
1526#127—32no—
1527#127—34no—
1528#127—32no—
1529#127—34no—
1530#127—34no—
1531#127—34no—
1532#127—34no—
1533#127—32no—
1534#127—32no—
1535#127—32no—
1536#127—32no—
1537#127—34no—
1538#127—32no—
1539#127—31no—
1540#127—31no—
1541#127—32no—
1542#127—32no—
1543#127—32no—
1544#127—32no—
1545#127C22×D311yescharacteristic
1546#127C22×D312yes—
1547#126—32no—
1548#126—32no—
1549#126—32no—
1550#126—34no—
1551#126—32no—
1552#126—32no—
1553#126—32no—
1554#126—32no—
1555#126—34no—
1556#126—32no—
1557#126—34no—
1558#126—32no—
1559#126C22×D314yes—
1560#126C22×D312yes—
1561#125—32no—
1562#125—32no—
1563#125—32no—
1564#125—31no—
1565#125—32no—
1566#125—31no—
1567#125—32no—
1568#125—32no—
1569#125—32no—
1570#125—31no—
1571#125C22×D312yes—
1572#125C22×D311yescharacteristic
1573#124—32no—
1574#124—32no—
1575#124—32no—
1576#124—31no—
1577#124—32no—
1578#124—31no—
1579#124—32no—
1580#124—34no—
1581#124—32no—
1582#124—32no—
1583#124—32no—
1584#124—34no—
1585#124—34no—
1586#124—34no—
1587#124—32no—
1588#124—34no—
1589#124—34no—
1590#124—34no—
1591#124—34no—
1592#124—32no—
1593#124—31no—
1594#124—34no—
1595#124C22×D311yescharacteristic
1596#124C22×D314yes—
1597#124C22×D312yes—
1598#123—32no—
1599#123—34no—
1600#123—32no—
1601#123—34no—
1602#123—32no—
1603#123—34no—
1604#123—32no—
1605#123—32no—
1606#123—34no—
1607#123—34no—
1608#123—34no—
1609#123—32no—
1610#123—34no—
1611#123—34no—
1612#123—32no—
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—32no—
1624#123—32no—
1625#123—32no—
1626#123—32no—
1627#123—32no—
1628#123—34no—
1629#123—32no—
1630#123—34no—
1631#123—34no—
1632#123—34no—
1633#123—34no—
1634#123C22×D314yes—
1635#123C22×D314yes—
1636#123C22×D312yes—
1637#123C22×D314yes—
1638C22⋊Q8—31no—
1639C22⋊Q8—34no—
1640C22⋊Q8—32no—
1641C22⋊Q8—32no—
1642C22⋊Q8—31no—
1643C22⋊Q8—34no—
1644C22⋊Q8—32no—
1645C22⋊Q8—32no—
1646C22⋊Q8—31no—
1647C22⋊Q8—34no—
1648C22⋊Q8—34no—
1649C22⋊Q8—34no—
1650C22⋊Q8—32no—
1651C22⋊Q8—31no—
1652C22⋊Q8—34no—
1653C22⋊Q8—32no—
1654C22⋊Q8—31no—
1655C22⋊Q8—34no—
1656C22⋊Q8—34no—
1657C22⋊Q8—32no—
1658C22⋊Q8—32no—
1659C22⋊Q8—34no—
1660C22⋊Q8—32no—
1661C22⋊Q8—32no—
1662C22⋊Q8—32no—
1663C22⋊Q8—32no—
1664C22⋊Q8—32no—
1665C22⋊Q8—34no—
1666C22⋊Q8C22×D311yescharacteristic
1667C22⋊Q8C22×D312yes—
1668C22⋊Q8C22×D314yes—
1669#121—31no—
1670#121—32no—
1671#121—34no—
1672#121—34no—
1673#121—34no—
1674#121—34no—
1675#121—34no—
1676#121—32no—
1677#121—34no—
1678#121—34no—
1679#121—34no—
1680#121—32no—
1681#121—34no—
1682#121—31no—
1683#121—32no—
1684#121—34no—
1685#121—34no—
1686#121—34no—
1687#121—34no—
1688#121—34no—
1689#121—34no—
1690#121—34no—
1691#121—34no—
1692#121—31no—
1693#121—34no—
1694#121—34no—
1695#121—34no—
1696#121—34no—
1697#121—34no—
1698#121—32no—
1699#121—32no—
1700#121—32no—
1701#121—34no—
1702#121—32no—
1703#121—32no—
1704#121—34no—
1705#121—34no—
1706#121—32no—
1707#121—31no—
1708#121—32no—
1709#121—32no—
1710#121—34no—
1711#121—34no—
1712#121—34no—
1713#121—34no—
1714#121—32no—
1715#121—34no—
1716#121—34no—
1717#121—32no—
1718#121—32no—
1719#121—32no—
1720#121—34no—
1721#121—34no—
1722#121—32no—
1723#121—31no—
1724#121—32no—
1725#121—34no—
1726#121—34no—
1727#121—32no—
1728#121—34no—
1729#121—32no—
1730#121—34no—
1731#121—34no—
1732#121—34no—
1733#121—34no—
1734#121—34no—
1735#121—34no—
1736#121—34no—
1737#121—34no—
1738#121—34no—
1739#121—34no—
1740#121—34no—
1741#121—34no—
1742#121—34no—
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—32no—
1752#121—34no—
1753#121—34no—
1754#121—34no—
1755#121—34no—
1756#121—34no—
1757#121C22×D314yes—
1758#121C22×D312yes—
1759#121C22×D312yes—
1760#121C22×D314yes—
1761#121C22×D311yescharacteristic
1762#121C22×D312yes—
1763#121C22×D314yes—
1764#121C22×D312yes—
1765#121C22×D312yes—
1766#121C22×D312yes—
1767#121C22×D312yes—
1768#121C22×D314yes—
1769#121C22×D314yes—
1770#120—32no—
1771#120—32no—
1772#120—34no—
1773#120—34no—
1774#120—34no—
1775#120—34no—
1776#120—34no—
1777#120—34no—
1778#120—34no—
1779#120—34no—
1780#120—34no—
1781#120—32no—
1782#120—34no—
1783#120—34no—
1784#120—34no—
1785#120—34no—
1786#120—34no—
1787#120—32no—
1788#120—34no—
1789#120—34no—
1790#120—34no—
1791#120—34no—
1792#120—34no—
1793#120—34no—
1794#120—34no—
1795#120—34no—
1796#120—34no—
1797#120—34no—
1798#120—34no—
1799#120C22×D314yes—
1800#120C22×D314yes—
1801#120C22×D314yes—
1802C4×Q8—31no—
1803C4×Q8—31no—
1804C4×Q8—32no—
1805C4×Q8—31no—
1806C4×Q8—31no—
1807C4×Q8—32no—
1808C4×Q8—32no—
1809C4×Q8—32no—
1810C4×Q8—31no—
1811C4×Q8—31no—
1812C4×Q8—32no—
1813C4×Q8—32no—
1814C4×Q8—31no—
1815C4×Q8—32no—
1816C4×Q8—31no—
1817C4×Q8—31no—
1818C4×Q8—31no—
1819C4×Q8—32no—
1820C4×Q8—31no—
1821C4×Q8C22×D311yescharacteristic
1822C4×D4—34no—
1823C4×D4—32no—
1824C4×D4—31no—
1825C4×D4—32no—
1826C4×D4—31no—
1827C4×D4—31no—
1828C4×D4—32no—
1829C4×D4—32no—
1830C4×D4—32no—
1831C4×D4—31no—
1832C4×D4—32no—
1833C4×D4—32no—
1834C4×D4—32no—
1835C4×D4—32no—
1836C4×D4—32no—
1837C4×D4—32no—
1838C4×D4—34no—
1839C4×D4—32no—
1840C4×D4—34no—
1841C4×D4—31no—
1842C4×D4—31no—
1843C4×D4—32no—
1844C4×D4—31no—
1845C4×D4—32no—
1846C4×D4—32no—
1847C4×D4—34no—
1848C4×D4—34no—
1849C4×D4—34no—
1850C4×D4—34no—
1851C4×D4—32no—
1852C4×D4—31no—
1853C4×D4—32no—
1854C4×D4—34no—
1855C4×D4—34no—
1856C4×D4—32no—
1857C4×D4—34no—
1858C4×D4—32no—
1859C4×D4—32no—
1860C4×D4—32no—
1861C4×D4—32no—
1862C4×D4—32no—
1863C4×D4—32no—
1864C4×D4—32no—
1865C4×D4—32no—
1866C4×D4—32no—
1867C4×D4—34no—
1868C4×D4—34no—
1869C4×D4—32no—
1870C4×D4—32no—
1871C4×D4—34no—
1872C4×D4—32no—
1873C4×D4—34no—
1874C4×D4—32no—
1875C4×D4—34no—
1876C4×D4—34no—
1877C4×D4—34no—
1878C4×D4—34no—
1879C4×D4—34no—
1880C4×D4—31no—
1881C4×D4—32no—
1882C4×D4—31no—
1883C4×D4—31no—
1884C4×D4—34no—
1885C4×D4—32no—
1886C4×D4—34no—
1887C4×D4C22×D311yescharacteristic
1888C4×D4C22×D312yes—
1889C4×D4C22×D314yes—
1890C4×D4C22×D311yescharacteristic
1891C4×D4C22×D312yes—
1892C4×D4C22×D311yescharacteristic
1893C4×D4C22×D312yes—
1894C4×D4C22×D311yescharacteristic
1895C4×D4C22×D312yes—
1896C4×D4C22×D311yescharacteristic
1897C4×D4C22×D314yes—
1898C4×D4C22×D312yes—
1899C4×D4C22×D314yes—
1900C4×D4C22×D312yes—
1901C4×D4C22×D312yes—
1902#117—31no—
1903#117—32no—
1904#117—32no—
1905#117—31no—
1906#117—32no—
1907#117—31no—
1908#117—34no—
1909#117—32no—
1910#117—32no—
1911#117—32no—
1912#117—32no—
1913#117—34no—
1914#117—34no—
1915#117—31no—
1916#117—31no—
1917#117—34no—
1918#117—32no—
1919#117—32no—
1920#117C22×D312yes—
1921#117C22×D312yes—
1922#117C22×D312yes—
1923C2×C4⋊C4—32no—
1924C2×C4⋊C4—32no—
1925C2×C4⋊C4—31no—
1926C2×C4⋊C4—34no—
1927C2×C4⋊C4—31no—
1928C2×C4⋊C4—34no—
1929C2×C4⋊C4—32no—
1930C2×C4⋊C4—31no—
1931C2×C4⋊C4—34no—
1932C2×C4⋊C4—32no—
1933C2×C4⋊C4C22×D311yescharacteristic
1934C2×C4⋊C4C22×D312yes—
1935C2×C22⋊C4—32no—
1936C2×C22⋊C4—34no—
1937C2×C22⋊C4—32no—
1938C2×C22⋊C4—34no—
1939C2×C22⋊C4—34no—
1940C2×C22⋊C4—32no—
1941C2×C22⋊C4—34no—
1942C2×C22⋊C4—34no—
1943C2×C22⋊C4—34no—
1944C2×C22⋊C4—34no—
1945C2×C22⋊C4—34no—
1946C2×C22⋊C4C22×D312yes—
1947C2×C22⋊C4C22×D314yes—
1948C2×C22⋊C4C22×D314yes—
1949C2×C42—32no—
1950C2×C42—32no—
1951C2×C42—32no—
1952C2×C42—32no—
1953C2×C42—31no—
1954C2×C42—34no—
1955C2×C42—31no—
1956C2×C42C22×D311yescharacteristic
1957C23×C3—24no—
1958C23×C3—42no—
1959C23×C3—42no—
1960C23×C3—44no—
1961C23×C3—44no—
1962C23×C3—44no—
1963C23×C3C2512yes—
1964C23×C3C2514yes—
1965C23×C3C2512yes—
1966C23×C3C2512yes—
1967C23×C3C2511yescharacteristic
1968C22×D3—28no—
1969C22×D3—28no—
1970C22×D3—24no—
1971C22×D3—44no—
1972C22×D3—44no—
1973C22×D3—42no—
1974C22×D3—44no—
1975C22×D3—44no—
1976C22×D3—42no—
1977C22×D3—44no—
1978C22×D3—44no—
1979C22×D3—44no—
1980C22×D3—44no—
1981C22×D3—44no—
1982C22×D3—44no—
1983C22×D3C2511yescharacteristic
1984C22×D3C2514yes—
1985C22×D3C2512yes—
1986C22×D3C2514yes—
1987C22×D3C2511yescharacteristic
1988C3×Q8—22no—
1989C3×Q8—42no—
1990C3×D4—28no—
1991C3×D4—24no—
1992C3×D4—22no—
1993C3×D4—24no—
1994C3×D4—24no—
1995C3×D4—22no—
1996C3×D4—22no—
1997C3×D4—42no—
1998C3×D4—44no—
1999C3×D4—44no—
2000C3×D4—44no—
2001C3×D4—44no—
2002C3×D4—44no—
2003C3×D4—42no—
2004C2×C3×C4—22no—
2005C2×C3×C4—22no—
2006C2×C3×C4—24no—
2007C2×C3×C4—24no—
2008C2×C3×C4—22no—
2009C2×C3×C4—24no—
2010C2×C3×C4—42no—
2011C2×C3×C4—44no—
2012C2×C3×C4—44no—
2013C2×C3×C4—42no—
2014C2×C3×C4—42no—
2015C2×C3×C4—44no—
2016C2×C3×C4C2511yescharacteristic
2017C2×C3×C4C2511yescharacteristic
2018C2×C3×C4C2512yes—
2019C2×C3×C4C2512yes—
2020C2×C3×C4C2512yes—
2021C2×C3×C4C2514yes—
2022C2×C3×C4C2512yes—
2023C2×C3×C4C2511yescharacteristic
2024C2×C3×C4C2511yescharacteristic
2025C2×C3×C4C2512yes—
2026C2×C3×C4C2511yescharacteristic
2027C2×C3×C4C2511yescharacteristic
2028#67—22no—
2029#67—24no—
2030#67—24no—
2031#67—24no—
2032#67—28no—
2033#67—28no—
2034#67—24no—
2035#67—28no—
2036#67—28no—
2037#67—24no—
2038#67—44no—
2039#67—44no—
2040#67—44no—
2041#67—44no—
2042#67—44no—
2043#67—42no—
2044#67—44no—
2045#67—42no—
2046#67—44no—
2047#67—44no—
2048#67—44no—
2049#67—44no—
2050#67—44no—
2051#67—44no—
2052#67—44no—
2053#67—44no—
2054#67—44no—
2055#67—42no—
2056#67—42no—
2057#67H(5,𝔽2)14yescomplemented
2058C2×Dic3—24no—
2059C2×Dic3—24no—
2060C2×Dic3—28no—
2061C2×Dic3—24no—
2062C2×Dic3—24no—
2063C2×Dic3—24no—
2064C2×Dic3—42no—
2065C2×Dic3—44no—
2066C2×Dic3—42no—
2067C2×Dic3C2511yescharacteristic
2068C2×Dic3C2511yescharacteristic
2069C2×Dic3C2512yes—
2070C2×Dic3C2511yescharacteristic
2071C2×Dic3C2512yes—
2072C2×Dic3C2512yes—
2073C2×Dic3C2512yes—
2074C2×Dic3C2511yescharacteristic
2075C2×Dic3C2511yescharacteristic
2076C2×Dic3C2512yes—
2077C2×Dic3C2512yes—
2078C2×Dic3C2511yescharacteristic
2079C2×Dic3C2512yes—
2080D12—22no—
2081D12—28no—
2082D12—24no—
2083D12—24no—
2084D12—24no—
2085D12—22no—
2086D12—24no—
2087D12—44no—
2088D12—44no—
2089D12—44no—
2090D12—44no—
2091D12—44no—
2092D12—42no—
2093D12—42no—
2094D12—44no—
2095D12—42no—
2096D12—44no—
2097C4×D3—22no—
2098C4×D3—24no—
2099C4×D3—22no—
2100C4×D3—24no—
2101C4×D3—22no—
2102C4×D3—22no—
2103C4×D3—22no—
2104C4×D3—28no—
2105C4×D3—24no—
2106C4×D3—28no—
2107C4×D3—22no—
2108C4×D3—28no—
2109C4×D3—42no—
2110C4×D3—42no—
2111C4×D3—44no—
2112C4×D3—44no—
2113C4×D3—44no—
2114C4×D3—44no—
2115C4×D3—44no—
2116C4×D3—44no—
2117C4×D3—44no—
2118Dic6—22no—
2119Dic6—22no—
2120Dic6—24no—
2121Dic6—22no—
2122Dic6—24no—
2123Dic6—24no—
2124Dic6—44no—
2125Dic6—42no—
2126Dic6H(5,𝔽2)14yescomplemented
2127C24—32no—
2128C24—34no—
2129C24—34no—
2130C24—34no—
2131C24—34no—
2132C24C23×D312yes—
2133C24C23×D314yes—
2134#41—44no—
2135#41—44no—
2136#41—64no—
2137#41—68no—
2138#41—68no—
2139#41—68no—
2140#41—68no—
2141#41—64no—
2142#41—124no—
2143#41—124no—
2144#41—124no—
2145#41—124no—
2146#41—128no—
2147#41—128no—
2148#41—128no—
2149#41—128no—
2150#41—128no—
2151#41—128no—
2152#41—128no—
2153#41—128no—
2154#41—124no—
2155#41—128no—
2156#41—122no—
2157#41—128no—
2158#41—128no—
2159#41—124no—
2160#41—124no—
2161C2×Q8—31no—
2162C2×Q8—31no—
2163C2×Q8—32no—
2164C2×Q8—32no—
2165C2×Q8—31no—
2166C2×Q8—32no—
2167C2×Q8—31no—
2168C2×Q8—32no—
2169C2×Q8—34no—
2170C2×Q8—64no—
2171C2×Q8—64no—
2172C2×Q8C23×D311yescharacteristic
2173C2×Q8C23×D312yes—
2174C2×D4—31no—
2175C2×D4—32no—
2176C2×D4—32no—
2177C2×D4—32no—
2178C2×D4—31no—
2179C2×D4—32no—
2180C2×D4—34no—
2181C2×D4—32no—
2182C2×D4—34no—
2183C2×D4—34no—
2184C2×D4—34no—
2185C2×D4—32no—
2186C2×D4—34no—
2187C2×D4—34no—
2188C2×D4—32no—
2189C2×D4—34no—
2190C2×D4—32no—
2191C2×D4—34no—
2192C2×D4—34no—
2193C2×D4—34no—
2194C2×D4—34no—
2195C2×D4—34no—
2196C2×D4—34no—
2197C2×D4—34no—
2198C2×D4—32no—
2199C2×D4—34no—
2200C2×D4—34no—
2201C2×D4—34no—
2202C2×D4—34no—
2203C2×D4—34no—
2204C2×D4—32no—
2205C2×D4—31no—
2206C2×D4—32no—
2207C2×D4—34no—
2208C2×D4—31no—
2209C2×D4—32no—
2210C2×D4—32no—
2211C2×D4—34no—
2212C2×D4—34no—
2213C2×D4—32no—
2214C2×D4—34no—
2215C2×D4—34no—
2216C2×D4—34no—
2217C2×D4—32no—
2218C2×D4—34no—
2219C2×D4—34no—
2220C2×D4—32no—
2221C2×D4—44no—
2222C2×D4—42no—
2223C2×D4—44no—
2224C2×D4—48no—
2225C2×D4—616no—
2226C2×D4—68no—
2227C2×D4—124no—
2228C2×D4—124no—
2229C2×D4—124no—
2230C2×D4—124no—
2231C2×D4—128no—
2232C2×D4—124no—
2233C2×D4—124no—
2234C2×D4—124no—
2235C2×D4—124no—
2236C2×D4—122no—
2237C2×D4—124no—
2238C2×D4—128no—
2239C2×D4—128no—
2240C2×D4—124no—
2241C2×D4—128no—
2242C2×D4—124no—
2243C2×D4—128no—
2244C2×D4—128no—
2245C2×D4—128no—
2246C2×D4—128no—
2247C2×D4—128no—
2248C2×D4—128no—
2249C2×D4—128no—
2250C2×D4—128no—
2251C2×D4—128no—
2252C2×D4C23×D312yes—
2253C2×D4C23×D311yescharacteristic
2254C2×D4C23×D314yes—
2255C2×D4C23×D312yes—
2256C2×D4C23×D311yescharacteristic
2257C2×D4C23×D312yes—
2258C2×D4C23×D311yescharacteristic
2259C2×D4C23×D314yes—
2260C2×D4C23×D312yes—
2261C2×D4C23×D314yes—
2262C2×D4C23×D314yes—
2263C2×D4C23×D314yes—
2264C2×D4C23×D314yes—
2265C2×D4C23×D312yes—
2266C22×C4—32no—
2267C22×C4—32no—
2268C22×C4—32no—
2269C22×C4—32no—
2270C22×C4—32no—
2271C22×C4—34no—
2272C22×C4—32no—
2273C22×C4—34no—
2274C22×C4—32no—
2275C22×C4—31no—
2276C22×C4—32no—
2277C22×C4—31no—
2278C22×C4—32no—
2279C22×C4—31no—
2280C22×C4—34no—
2281C22×C4—31no—
2282C22×C4—34no—
2283C22×C4—31no—
2284C22×C4—31no—
2285C22×C4—34no—
2286C22×C4—32no—
2287C22×C4—34no—
2288C22×C4—32no—
2289C22×C4—32no—
2290C22×C4—34no—
2291C22×C4—34no—
2292C22×C4—34no—
2293C22×C4—34no—
2294C22×C4—34no—
2295C22×C4—34no—
2296C22×C4—44no—
2297C22×C4—124no—
2298C22×C4—128no—
2299C22×C4—128no—
2300C22×C4C23×D311yescharacteristic
2301C22×C4C23×D312yes—
2302C22×C4C23×D312yes—
2303C22×C4C23×D311yescharacteristic
2304C22×C4C23×D311yescharacteristic
2305C22×C4C23×D312yes—
2306C22×C4C23×D312yes—
2307C22×C4C23×D314yes—
2308C22×C4C23×D312yes—
2309C22×C4C23×D312yes—
2310C22×C4C23×D314yes—
2311C22×C4C23×D314yes—
2312C4⋊C4—32no—
2313C4⋊C4—32no—
2314C4⋊C4—32no—
2315C4⋊C4—31no—
2316C4⋊C4—34no—
2317C4⋊C4—32no—
2318C4⋊C4—31no—
2319C4⋊C4—32no—
2320C4⋊C4—31no—
2321C4⋊C4—32no—
2322C4⋊C4—34no—
2323C4⋊C4—32no—
2324C4⋊C4—31no—
2325C4⋊C4—32no—
2326C4⋊C4—32no—
2327C4⋊C4—32no—
2328C4⋊C4—34no—
2329C4⋊C4—32no—
2330C4⋊C4—32no—
2331C4⋊C4—32no—
2332C4⋊C4—32no—
2333C4⋊C4—32no—
2334C4⋊C4—32no—
2335C4⋊C4—32no—
2336C4⋊C4—31no—
2337C4⋊C4—32no—
2338C4⋊C4—32no—
2339C4⋊C4—31no—
2340C4⋊C4—32no—
2341C4⋊C4—32no—
2342C4⋊C4—32no—
2343C4⋊C4—32no—
2344C4⋊C4—32no—
2345C4⋊C4—31no—
2346C4⋊C4—32no—
2347C4⋊C4—31no—
2348C4⋊C4—32no—
2349C4⋊C4—31no—
2350C4⋊C4—31no—
2351C4⋊C4—34no—
2352C4⋊C4—32no—
2353C4⋊C4C23×D311yescharacteristic
2354C4⋊C4C23×D311yescharacteristic
2355C4⋊C4C23×D314yes—
2356C4⋊C4C23×D312yes—
2357C4⋊C4C23×D314yes—
2358C4⋊C4C23×D312yes—
2359C4⋊C4C23×D311yescharacteristic
2360C4⋊C4C23×D312yes—
2361C4⋊C4C23×D311yescharacteristic
2362C4⋊C4C23×D312yes—
2363C4⋊C4C23×D312yes—
2364C4⋊C4C23×D312yes—
2365C4⋊C4C23×D312yes—
2366C22⋊C4—32no—
2367C22⋊C4—31no—
2368C22⋊C4—32no—
2369C22⋊C4—32no—
2370C22⋊C4—34no—
2371C22⋊C4—34no—
2372C22⋊C4—32no—
2373C22⋊C4—34no—
2374C22⋊C4—32no—
2375C22⋊C4—32no—
2376C22⋊C4—31no—
2377C22⋊C4—32no—
2378C22⋊C4—32no—
2379C22⋊C4—32no—
2380C22⋊C4—34no—
2381C22⋊C4—32no—
2382C22⋊C4—32no—
2383C22⋊C4—32no—
2384C22⋊C4—32no—
2385C22⋊C4—34no—
2386C22⋊C4—32no—
2387C22⋊C4—31no—
2388C22⋊C4—32no—
2389C22⋊C4—34no—
2390C22⋊C4—32no—
2391C22⋊C4—32no—
2392C22⋊C4—34no—
2393C22⋊C4—32no—
2394C22⋊C4—34no—
2395C22⋊C4—34no—
2396C22⋊C4—34no—
2397C22⋊C4—32no—
2398C22⋊C4—34no—
2399C22⋊C4—34no—
2400C22⋊C4—32no—
2401C22⋊C4—34no—
2402C22⋊C4—34no—
2403C22⋊C4—31no—
2404C22⋊C4—31no—
2405C22⋊C4—32no—
2406C22⋊C4—31no—
2407C22⋊C4—34no—
2408C22⋊C4—32no—
2409C22⋊C4—34no—
2410C22⋊C4—32no—
2411C22⋊C4—34no—
2412C22⋊C4—34no—
2413C22⋊C4—34no—
2414C22⋊C4C23×D314yes—
2415C22⋊C4C23×D314yes—
2416C22⋊C4C23×D312yes—
2417C22⋊C4C23×D312yes—
2418C22⋊C4C23×D314yes—
2419C22⋊C4C23×D312yes—
2420C22⋊C4C23×D312yes—
2421C22⋊C4C23×D312yes—
2422C22⋊C4C23×D314yes—
2423C22⋊C4C23×D312yes—
2424C22⋊C4C23×D312yes—
2425C22⋊C4C23×D314yes—
2426C22⋊C4C23×D312yes—
2427C22⋊C4C23×D312yes—
2428C22⋊C4C23×D314yes—
2429C22⋊C4C23×D314yes—
2430C42—32no—
2431C42—32no—
2432C42—31no—
2433C42—32no—
2434C42—31no—
2435C42—31no—
2436C42—32no—
2437C42—32no—
2438C42—34no—
2439C42—32no—
2440C42—32no—
2441C42—32no—
2442C42—31no—
2443C42—32no—
2444C42—31no—
2445C42—32no—
2446C42—31no—
2447C42—32no—
2448C42C23×D311yescharacteristic
2449C42C23×D314yes—
2450C42C23×D312yes—
2451C42C23×D311yescharacteristic
2452C42C23×D311yescharacteristic
2453C42C23×D311yescharacteristic
2454C22×C3—21no—
2455C22×C3—21no—
2456C22×C3—24no—
2457C22×C3—22no—
2458C22×C3—22no—
2459C22×C3—22no—
2460C22×C3—22no—
2461C22×C3—24no—
2462C22×C3—22no—
2463C22×C3—22no—
2464C22×C3—22no—
2465C22×C3—22no—
2466C22×C3—24no—
2467C22×C3—22no—
2468C22×C3—84no—
2469C22×C3—164no—
2470C22×C3C2×H(5,𝔽2)12yes—
2471C22×C3C2611yescharacteristic
2472C2×D3—21no—
2473C2×D3—21no—
2474C2×D3—24no—
2475C2×D3—24no—
2476C2×D3—22no—
2477C2×D3—21no—
2478C2×D3—24no—
2479C2×D3—21no—
2480C2×D3—24no—
2481C2×D3—22no—
2482C2×D3—21no—
2483C2×D3—24no—
2484C2×D3—24no—
2485C2×D3—22no—
2486C2×D3—88no—
2487C2×D3—84no—
2488C2×D3—88no—
2489C2×D3—164no—
2490C2×D3—164no—
2491C2×D3C2×H(5,𝔽2)12yes—
2492C3×C4—21no—
2493C3×C4—22no—
2494C3×C4—22no—
2495C3×C4—21no—
2496C3×C4—22no—
2497C3×C4—24no—
2498C3×C4—22no—
2499C3×C4—21no—
2500C3×C4—22no—
2501C3×C4—21no—
2502C3×C4C2×H(5,𝔽2)12yes—
2503C3×C4#58512yes—
2504Dic3—21no—
2505Dic3—22no—
2506Dic3—21no—
2507Dic3—22no—
2508Dic3—22no—
2509Dic3—21no—
2510Dic3—22no—
2511Dic3—22no—
2512Dic3—22no—
2513Dic3—21no—
2514Dic3—21no—
2515Dic3C2×H(5,𝔽2)12yes—
2516Dic3C2×H(5,𝔽2)14yes—
2517C23—24no—
2518C23—31no—
2519C23—31no—
2520C23—32no—
2521C23—34no—
2522C23—34no—
2523C23—42no—
2524C23—42no—
2525C23—44no—
2526C23—44no—
2527C23—44no—
2528C23—68no—
2529C23—64no—
2530C23—68no—
2531C23—124no—
2532C23—122no—
2533C23—124no—
2534C23—124no—
2535C23—122no—
2536C23—124no—
2537C23—124no—
2538C23—124no—
2539C23—124no—
2540C23—124no—
2541C23—124no—
2542C23—124no—
2543C23C24×D312yes—
2544C23C24×D314yes—
2545C23C24×D312yes—
2546C23C24×D312yes—
2547C23C24×D311yescharacteristic
2548Q8—22no—
2549Q8—34no—
2550Q8—42no—
2551Q8—64no—
2552Q8—64no—
2553Q8—62no—
2554Q8—64no—
2555Q8—62no—
2556Q8—62no—
2557Q8—122no—
2558Q8—124no—
2559D4—24no—
2560D4—28no—
2561D4—22no—
2562D4—24no—
2563D4—22no—
2564D4—22no—
2565D4—24no—
2566D4—34no—
2567D4—44no—
2568D4—44no—
2569D4—44no—
2570D4—44no—
2571D4—42no—
2572D4—42no—
2573D4—44no—
2574D4—68no—
2575D4—62no—
2576D4—64no—
2577D4—68no—
2578D4—64no—
2579D4—68no—
2580D4—68no—
2581D4—68no—
2582D4—64no—
2583D4—64no—
2584D4—64no—
2585D4—62no—
2586D4—64no—
2587D4—62no—
2588D4—64no—
2589D4—64no—
2590D4—64no—
2591D4—124no—
2592D4—122no—
2593D4—122no—
2594D4—122no—
2595D4—124no—
2596D4—124no—
2597D4—124no—
2598D4—124no—
2599D4—124no—
2600D4—124no—
2601D4—122no—
2602D4—124no—
2603D4—122no—
2604D4—124no—
2605D4—124no—
2606D4—124no—
2607D4—124no—
2608D4—124no—
2609D4—124no—
2610D4—124no—
2611D4—124no—
2612D4—124no—
2613D4—124no—
2614D4—124no—
2615D4—124no—
2616D4—122no—
2617D4—124no—
2618D4—124no—
2619D4—122no—
2620C2×C4—22no—
2621C2×C4—22no—
2622C2×C4—24no—
2623C2×C4—22no—
2624C2×C4—24no—
2625C2×C4—24no—
2626C2×C4—31no—
2627C2×C4—32no—
2628C2×C4—31no—
2629C2×C4—32no—
2630C2×C4—31no—
2631C2×C4—31no—
2632C2×C4—32no—
2633C2×C4—32no—
2634C2×C4—31no—
2635C2×C4—32no—
2636C2×C4—31no—
2637C2×C4—32no—
2638C2×C4—32no—
2639C2×C4—42no—
2640C2×C4—42no—
2641C2×C4—42no—
2642C2×C4—44no—
2643C2×C4—44no—
2644C2×C4—44no—
2645C2×C4—64no—
2646C2×C4—68no—
2647C2×C4—68no—
2648C2×C4—68no—
2649C2×C4—62no—
2650C2×C4—62no—
2651C2×C4—64no—
2652C2×C4—64no—
2653C2×C4—68no—
2654C2×C4—64no—
2655C2×C4—64no—
2656C2×C4—64no—
2657C2×C4—64no—
2658C2×C4—62no—
2659C2×C4—62no—
2660C2×C4—62no—
2661C2×C4—64no—
2662C2×C4—62no—
2663C2×C4—122no—
2664C2×C4—122no—
2665C2×C4—124no—
2666C2×C4—124no—
2667C2×C4—124no—
2668C2×C4—124no—
2669C2×C4—124no—
2670C2×C4—124no—
2671C2×C4—124no—
2672C2×C4—122no—
2673C2×C4—124no—
2674C2×C4—122no—
2675C2×C4C24×D311yescharacteristic
2676C2×C4C24×D312yes—
2677C2×C4C24×D312yes—
2678C2×C4C24×D311yescharacteristic
2679C2×C4C24×D314yes—
2680C2×C4C24×D312yes—
2681C2×C4C24×D312yes—
2682C2×C4C24×D311yescharacteristic
2683C2×C4C24×D311yescharacteristic
2684C2×C4C24×D312yes—
2685C2×C4C24×D311yescharacteristic
2686C2×C4C24×D311yescharacteristic
2687C2×C3—22no—
2688C2×C3—44no—
2689C2×C3—42no—
2690C2×C3—42no—
2691C2×C3—42no—
2692C2×C3C22×H(5,𝔽2)11yescharacteristic
2693C2×C3C22×H(5,𝔽2)11yescharacteristic
2694C2×C3C2×#58511yescharacteristic
2695D3—22no—
2696D3—44no—
2697D3—44no—
2698D3—42no—
2699D3—41no—
2700C22—21no—
2701C22—21no—
2702C22—22no—
2703C22—22no—
2704C22—22no—
2705C22—24no—
2706C22—22no—
2707C22—22no—
2708C22—22no—
2709C22—24no—
2710C22—24no—
2711C22—22no—
2712C22—22no—
2713C22—22no—
2714C22—32no—
2715C22—61no—
2716C22—61no—
2717C22—61no—
2718C22—64no—
2719C22—64no—
2720C22—62no—
2721C22—64no—
2722C22—64no—
2723C22—62no—
2724C22—61no—
2725C22—61no—
2726C22—64no—
2727C22—64no—
2728C22—62no—
2729C22—84no—
2730C22—164no—
2731C22—248no—
2732C22—244no—
2733C22—248no—
2734C22—484no—
2735C22—484no—
2736C22D3×H(5,𝔽2)12yes—
2737C22C25×D311yescharacteristic
2738C4—22no—
2739C4—21no—
2740C4—22no—
2741C4—21no—
2742C4—21no—
2743C4—22no—
2744C4—21no—
2745C4—22no—
2746C4—24no—
2747C4—22no—
2748C4—32no—
2749C4—34no—
2750C4—61no—
2751C4—61no—
2752C4—62no—
2753C4—62no—
2754C4—62no—
2755C4—61no—
2756C4—62no—
2757C4—61no—
2758C4—62no—
2759C4—62no—
2760C4—61no—
2761C4#596412yes—
2762C4D3×H(5,𝔽2)12yes—
2763C3#6301411yescharacteristic, complemented, Sylow
2764C2—22no—
2765C2—42no—
2766C2—42no—
2767C2—42no—
2768C2—44no—
2769C2—62no—
2770C2—124no—
2771C2—124no—
2772C2—122no—
2773C2—121no—
2774C2C2×#596411yescharacteristic
2775C2C2×D3×H(5,𝔽2)11yescharacteristic
2776C2C2×D3×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3519C2
hypercenter#3519D3
hypocenterC3#63014
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3519

Complements

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

NH ≅ G/Ntype
1. C3×#3519C2semidirect
2. #86964C2semidirect
3. #86959C2semidirect
4. #86939C2semidirect
5. #86936C2semidirect
6. #86895C2semidirect
7. #86888C2semidirect
8. #86886C2semidirect
9. #86876C2semidirect
10. D3×#550C2semidirect
11. #86771C2semidirect
12. #86665C2semidirect
13. #86653C2semidirect
14. #86650C2semidirect
15. #86629C2semidirect
16. #86624C2semidirect
17. #86616C2semidirect
18. #86608C2semidirect
19. #86608C2semidirect
20. #86493C2semidirect
21. #86476C2semidirect
22. #86401C2semidirect
23. #86400C2semidirect
24. #86242C2semidirect
25. #86229C2semidirect
26. #86172C2semidirect
27. #86154C2semidirect
28. #86058C2semidirect
29. #86037C2semidirect
30. #85950C2semidirect
31. #85949C2semidirect
32. #85871C2semidirect
33. #85862C2semidirect
34. #85785C2semidirect
35. C2×#5553C2semidirect
37. C2×#1009C22semidirect
38. C2×D3×#41C22semidirect
39. C2×#1004C22semidirect
40. C2×#1004C22semidirect
41. C22×#235C22semidirect
42. C3×#555C22semidirect
43. C3×#554C22semidirect
44. C3×#553C22semidirect
45. C3×#553C22semidirect
46. C3×#550C22semidirect
47. C3×#546C22semidirect
48. C3×#546C22semidirect
49. C3×D42C22semidirect
50. C3×D42C22semidirect
51. C3×#540C22semidirect
52. C3×#538C22semidirect
53. C3×#532C22semidirect
54. C3×#529C22semidirect
55. C3×#525C22semidirect
56. C2×C3×#121C22semidirect
57. C3×#518C22semidirect
58. C2×C3×C4×D4C22semidirect
59. #5834C22semidirect
60. #5832C22semidirect
61. #5830C22semidirect
62. #5829C22semidirect
63. #5824C22semidirect
64. #5806C22semidirect
65. #5805C22semidirect
66. #5805C22semidirect
67. #5804C22semidirect
68. C2×#940C22semidirect
69. C2×#940C22semidirect
70. D4×#67C22semidirect
71. D4×#67C22semidirect
72. D4×#67C22semidirect
73. D4×#67C22semidirect
74. D4×#67C22semidirect
75. D4×#67C22semidirect
76. D4×#67C22semidirect
77. #5791C22semidirect
78. C2×#930C22semidirect
79. C2×C4×#67C22semidirect
80. #5730C22semidirect
81. #5725C22semidirect
82. #5725C22semidirect
83. #5722C22semidirect
84. #5718C22semidirect
85. #5718C22semidirect
86. #5718C22semidirect
87. #5715C22semidirect
88. D3×#127C22semidirect
89. D3×#127C22semidirect
90. D3×#127C22semidirect
91. #5713C22semidirect
92. #5711C22semidirect
93. #5709C22semidirect
94. #5708C22semidirect
95. #5706C22semidirect
96. #5705C22semidirect
97. #5704C22semidirect
98. #5702C22semidirect
99. #5697C22semidirect
100. #5697C22semidirect
101. #5694C22semidirect
102. #5691C22semidirect
103. #5690C22semidirect
104. #5690C22semidirect
105. #5685C22semidirect
106. #5678C22semidirect
107. #5677C22semidirect
108. #5676C22semidirect
109. #5674C22semidirect
110. #5674C22semidirect
111. #5674C22semidirect
112. #5671C22semidirect
113. #5670C22semidirect
114. #5669C22semidirect
115. #5668C22semidirect
116. #5667C22semidirect
117. #5667C22semidirect
118. #5666C22semidirect
119. #5663C22semidirect
120. #5661C22semidirect
121. #5657C22semidirect
122. #5656C22semidirect
123. #5655C22semidirect
124. #5655C22semidirect
125. #5655C22semidirect
126. #5654C22semidirect
127. #5654C22semidirect
128. #5653C22semidirect
129. #5653C22semidirect
130. #5650C22semidirect
131. #5647C22semidirect
132. #5643C22semidirect
133. #5642C22semidirect
134. #5640C22semidirect
135. #5633C22semidirect
136. #5632C22semidirect
137. #5631C22semidirect
138. #5631C22semidirect
139. #5630C22semidirect
140. #5629C22semidirect
141. #5629C22semidirect
142. #5620C22semidirect
143. #5620C22semidirect
144. #5619C22semidirect
145. #5619C22semidirect
146. #5619C22semidirect
147. #5615C22semidirect
148. #5615C22semidirect
149. #5612C22semidirect
150. #5612C22semidirect
151. #5612C22semidirect
152. #5612C22semidirect
153. #5611C22semidirect
154. #5611C22semidirect
155. #5610C22semidirect
156. #5610C22semidirect
157. #5610C22semidirect
158. #5609C22semidirect
159. #5609C22semidirect
160. #5609C22semidirect
161. #5609C22semidirect
162. #5609C22semidirect
163. #5609C22semidirect
164. #5609C22semidirect
165. #5609C22semidirect
166. #5608C22semidirect
167. #5608C22semidirect
168. #5607C22semidirect
169. #5607C22semidirect
170. #5607C22semidirect
171. #5606C22semidirect
172. #5605C22semidirect
173. D3×#121C22semidirect
174. D3×#121C22semidirect
175. D3×#121C22semidirect
176. D3×#121C22semidirect
177. #5600C22semidirect
178. #5599C22semidirect
179. #5599C22semidirect
180. #5599C22semidirect
181. #5599C22semidirect
182. #5599C22semidirect
183. #5599C22semidirect
184. #5598C22semidirect
185. #5598C22semidirect
186. #5597C22semidirect
187. #5597C22semidirect
188. #5596C22semidirect
189. #5596C22semidirect
190. #5596C22semidirect
191. #5596C22semidirect
192. #5596C22semidirect
193. #5595C22semidirect
194. #5595C22semidirect
195. #5592C22semidirect
196. #5592C22semidirect
197. #5592C22semidirect
198. #5592C22semidirect
199. #5591C22semidirect
200. #5590C22semidirect
201. #5590C22semidirect
202. #5590C22semidirect
203. #5589C22semidirect
204. #5589C22semidirect
205. #5585C22semidirect
206. #5578C22semidirect
207. #5577C22semidirect
208. C4×D3×Q8C22semidirect
209. #5562C22semidirect
210. #5562C22semidirect
211. #5562C22semidirect
212. #5561C22semidirect
213. #5560C22semidirect
214. #5559C22semidirect
215. #5559C22semidirect
216. #5559C22semidirect
217. #5559C22semidirect
218. #5558C22semidirect
219. #5557C22semidirect
220. #5557C22semidirect
221. #5556C22semidirect
222. #5556C22semidirect
223. #5554C22semidirect
224. #5554C22semidirect
225. #5553C22semidirect
226. #5553C22semidirect
227. #5553C22semidirect
228. #5553C22semidirect
229. #5553C22semidirect
230. #5553C22semidirect
231. #5553C22semidirect
232. #5553C22semidirect
233. #5553C22semidirect
234. #5553C22semidirect
235. #5553C22semidirect
236. #5553C22semidirect
237. #5553C22semidirect
238. #5553C22semidirect
239. #5550C22semidirect
240. #5550C22semidirect
241. D4×D12C22semidirect
242. D4×D12C22semidirect
243. D4×D12C22semidirect
244. D4×D12C22semidirect
245. #5548C22semidirect
246. #5548C22semidirect
247. #5548C22semidirect
248. #5548C22semidirect
249. #5547C22semidirect
250. #5547C22semidirect
251. #5547C22semidirect
252. #5546C22semidirect
253. #5545C22semidirect
254. C4×D3×D4C22semidirect
255. C4×D3×D4C22semidirect
256. C4×D3×D4C22semidirect
257. #5540C22semidirect
258. #5540C22semidirect
259. #5539C22semidirect
260. #5539C22semidirect
261. #5538C22semidirect
262. #5538C22semidirect
263. C4×#237C22semidirect
264. C4×#237C22semidirect
265. C4×#237C22semidirect
266. #5535C22semidirect
267. #5532C22semidirect
268. #5532C22semidirect
269. #5530C22semidirect
270. #5530C22semidirect
271. #5528C22semidirect
272. #5525C22semidirect
273. #5524C22semidirect
274. #5522C22semidirect
275. #5522C22semidirect
276. #5521C22semidirect
277. #5517C22semidirect
278. #5514C22semidirect
279. #5511C22semidirect
280. #5510C22semidirect
281. #5507C22semidirect
282. #5507C22semidirect
283. #5504C22semidirect
284. C2×#893C22semidirect
285. #5495C22semidirect
286. #5494C22semidirect
287. #5490C22semidirect
288. #5490C22semidirect
289. #5490C22semidirect
290. #5490C22semidirect
291. #5490C22semidirect
292. #5490C22semidirect
293. #5490C22semidirect
294. C2×#884C22semidirect
295. C2×#884C22semidirect
296. #5479C22semidirect
297. C2×#874C22semidirect
298. C4×#235C22semidirect
299. C2×C4×Dic6C22semidirect
317. #3519D3semidirect
878. #555C2×D3semidirect
885. #554C2×D3semidirect
894. #553C2×D3semidirect
895. #553C2×D3semidirect
929. #550C2×D3semidirect
970. #546C2×D3semidirect
971. #546C2×D3semidirect
994. D42C2×D3semidirect
995. D42C2×D3semidirect
1012. #540C2×D3semidirect
1018. #538C2×D3semidirect
1062. #532C2×D3semidirect
1078. #529C2×D3semidirect
1086. #525C2×D3semidirect
1094. C2×#121C2×D3semidirect
1099. #518C2×D3semidirect
1113. C2×C4×D4C2×D3semidirect
2057. #67H(5,𝔽2)semidirect
2126. Dic6H(5,𝔽2)semidirect
2763. C3#63014semidirect

Maximal subgroups

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

subgroupindex
C3×#35192
#869642
#869592
#869392
#869362
#868952
#868882
#868862
#868762
D3×#5502
#867712
#866652
#866532
#866502
#866292
#866242
#866162
#866082
#864932
#864762
#864012
#864002
#862422
#862292
#861722
#861542
#860582
#860372
#859502
#859492
#858712
#858622
#857852
C2×#55532
#630143