Finite Group Databasebeta

← #11704022

Subgroups — #11704022

Order 768.

7264 conjugacy classes of subgroups.

The subgroup lattice has 2756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3488C211yesmaximal, characteristic, complemented
2#87283C211yesmaximal, characteristic, complemented
3#87281C211yesmaximal, characteristic, complemented
4#87264C211yesmaximal, characteristic, complemented
5C2×#5832C211yesmaximal, characteristic, complemented
6#86781C212yesmaximal, complemented
7#86774C212yesmaximal, complemented
8#86728C212yesmaximal, complemented
9#86717C212yesmaximal, complemented
10#86659C212yesmaximal, complemented
11#86656C214yesmaximal, complemented
12#86638C212yesmaximal, complemented
13#86631C214yesmaximal, complemented
14#86616C212yesmaximal, complemented
15#86613C214yesmaximal, complemented
16#86611C214yesmaximal, complemented
17#86610C212yesmaximal, complemented
18#86375C212yesmaximal, complemented
19#86373C212yesmaximal, complemented
20#86369C211yesmaximal, characteristic, complemented
21#86367C211yesmaximal, characteristic, complemented
22#86327C212yesmaximal, complemented
23#86324C212yesmaximal, complemented
24#86318C211yesmaximal, characteristic, complemented
25#86317C211yesmaximal, characteristic, complemented
26#86047C212yesmaximal, complemented
27#86044C212yesmaximal, complemented
28#86042C211yesmaximal, characteristic, complemented
29#86018C211yesmaximal, characteristic, complemented
30#85951C212yesmaximal, complemented
31#85949C211yesmaximal, characteristic, complemented
32#85937C212yesmaximal, complemented
33C2×#5600C211yesmaximal, characteristic, complemented
34#85894C211yesmaximal, characteristic, complemented
35#85892C211yesmaximal, characteristic, complemented
36#62830—31nomaximal, Sylow
37C2×C3×H(5,𝔽2)C2211yescharacteristic, complemented
38C22×C3×#41C2211yescharacteristic, complemented
39C2×#1010C2211yescharacteristic, complemented
40C2×#1010C2211yescharacteristic, complemented
41C2×#1004C2211yescharacteristic, complemented
42C22×#235C2211yescharacteristic, complemented
43C3×#550C2212yescomplemented
44C3×#548C2212yescomplemented
45C3×#546C2214yescomplemented
46C3×#546C2212yescomplemented
47C3×D42C2212yescomplemented
48C3×D42C2214yescomplemented
49C3×#537C2211yescharacteristic, complemented
50C3×#537C2212yescomplemented
51C3×#535C2211yescharacteristic, complemented
52C3×#535C2212yescomplemented
53C3×#525C2211yescharacteristic, complemented
54C3×#525C2212yescomplemented
55C2×C3×#121C2211yescharacteristic
56C2×C3×#121C2212yescomplemented
57C3×#520C2211yescharacteristic, complemented
58#5833C2211yescharacteristic, complemented
59#5833C2212yescomplemented
60#5833C2211yescharacteristic, complemented
61#5832C2211yescharacteristic
62#5832C2211yescharacteristic, complemented
63#5832C2211yescharacteristic, complemented
64#5832C2211yescharacteristic, complemented
65#5832C2212yescomplemented
66#5832C2212yescomplemented
67#5832C2212yescomplemented
68#5832C2211yescharacteristic, complemented
69#5832C2212yescomplemented
70#5832C2211yescharacteristic, complemented
71#5832C2211yescharacteristic, complemented
72#5832C2212yescomplemented
73#5832C2211yescharacteristic, complemented
74#5832C2211yescharacteristic, complemented
75#5831C2212yescomplemented
76#5831C2212yescomplemented
77#5831C2212yescomplemented
78#5829C2212yescomplemented
79#5829C2212yescomplemented
80#5827C2211yescharacteristic, complemented
81Dic3×#41C2211yescharacteristic, complemented
82#5825C2212yescomplemented
83#5825C2211yescharacteristic, complemented
84#5825C2212yescomplemented
85#5824C2212yescomplemented
86#5824C2214yescomplemented
87#5824C2212yescomplemented
88#5824C2212yescomplemented
89Q8×#67C2212yescomplemented
90C2×#947C2211yescharacteristic, complemented
91C2×#944C2211yescharacteristic, complemented
92#5806C2212yescomplemented
93#5806C2212yescomplemented
94#5806C2212yescomplemented
95#5806C2214yescomplemented
96#5806C2212yescomplemented
97#5806C2212yescomplemented
98#5806C2214yescomplemented
99#5806C2214yescomplemented
100#5806C2214yescomplemented
101#5805C2211yescharacteristic, complemented
102#5805C2212yescomplemented
103#5804C2214yescomplemented
104#5804C2214yescomplemented
105C2×#940C2211yescharacteristic, complemented
106C2×#939C2212yescomplemented
107C2×#939C2214yescomplemented
108C2×#939C2212yescomplemented
109D4×#67C2212yescomplemented
110D4×#67C2214yescomplemented
111D4×#67C2214yescomplemented
112D4×#67C2212yescomplemented
113#5798C2214yescomplemented
114C2×#936C2211yescharacteristic, complemented
115C2×#936C2211yescharacteristic, complemented
116C2×#936C2212yescomplemented
117C2×#935C2212yescomplemented
118C2×D4×Dic3C2211yescharacteristic, complemented
119C2×D4×Dic3C2212yescomplemented
120#5791C2211yescharacteristic, complemented
121#5791C2212yescomplemented
122C2×C4×#67C2212yescomplemented
123C2×C4×#67C2212yescomplemented
124C2×#924C2211yescharacteristic, complemented
125C2×#924C2212yescomplemented
126C22×C4×Dic3C2211yescharacteristic, complemented
127#5720C2214yescomplemented
128#5719C2214yescomplemented
129#5719C2214yescomplemented
130#5718C2212yescomplemented
131#5718C2214yescomplemented
132#5716C2212yescomplemented
133#5715C2212yescomplemented
134#5713C2212yescomplemented
135#5681C2212yescomplemented
136#5678C2214yescomplemented
137#5675C2212yescomplemented
138D3×#124C2212yescomplemented
139#5672C2214yescomplemented
140#5671C2212yescomplemented
141#5670C2214yescomplemented
142#5669C2214yescomplemented
143#5662C2214yescomplemented
144#5661C2214yescomplemented
145#5660C2214yescomplemented
146#5659C2214yescomplemented
147#5655C2214yescomplemented
148#5649C2212yescomplemented
149#5649C2212yescomplemented
150#5646C2214yescomplemented
151#5642C2212yescomplemented
152#5640C2214yescomplemented
153#5639C2212yescomplemented
154#5637C2214yescomplemented
155#5633C2212yescomplemented
156#5633C2212yescomplemented
157#5632C2212yescomplemented
158#5632C2212yescomplemented
159#5628C2212yescomplemented
160D3×C22⋊Q8C2212yescomplemented
161#5625C2212yescomplemented
162#5624C2211yescharacteristic, complemented
163#5624C2211yescharacteristic, complemented
164#5624C2212yescomplemented
165#5623C2214yescomplemented
166#5622C2211yescharacteristic, complemented
167#5622C2211yescharacteristic, complemented
168#5621C2214yescomplemented
169#5621C2214yescomplemented
170#5620C2214yescomplemented
171#5619C2214yescomplemented
172#5619C2212yescomplemented
173#5618C2212yescomplemented
174#5618C2212yescomplemented
175#5618C2214yescomplemented
176#5617C2214yescomplemented
177#5617C2214yescomplemented
178#5616C2212yescomplemented
179#5616C2214yescomplemented
180#5616C2214yescomplemented
181#5615C2214yescomplemented
182#5615C2214yescomplemented
183#5615C2214yescomplemented
184#5614C2212yescomplemented
185#5614C2212yescomplemented
186#5613C2214yescomplemented
187#5613C2214yescomplemented
188#5612C2212yescomplemented
189#5612C2212yescomplemented
190#5612C2212yescomplemented
191#5611C2212yescomplemented
192#5610C2214yescomplemented
193#5609C2212yescomplemented
194#5608C2212yescomplemented
195#5608C2212yescomplemented
196#5607C2212yescomplemented
197#5606C2212yescomplemented
198#5606C2212yescomplemented
199D3×#121C2212yescomplemented
200#5603C2214yescomplemented
201#5602C2214yescomplemented
202#5601C2214yescomplemented
203#5601C2214yescomplemented
204#5601C2214yescomplemented
205#5601C2214yescomplemented
206#5601C2214yescomplemented
207#5600C2211yescharacteristic, complemented
208#5600C2211yescharacteristic, complemented
209#5600C2212yescomplemented
210#5600C2212yescomplemented
211#5600C2212yescomplemented
212#5600C2212yescomplemented
213#5600C2212yescomplemented
214#5600C2212yescomplemented
215#5600C2212yescomplemented
216#5600C2212yescomplemented
217#5600C2212yescomplemented
218#5599C2212yescomplemented
219#5599C2212yescomplemented
220#5599C2212yescomplemented
221#5598C2212yescomplemented
222#5598C2212yescomplemented
223#5598C2212yescomplemented
224#5598C2212yescomplemented
225#5598C2212yescomplemented
226#5597C2214yescomplemented
227#5596C2211yescharacteristic, complemented
228#5596C2211yescharacteristic, complemented
229#5596C2214yescomplemented
230#5595C2214yescomplemented
231#5595C2214yescomplemented
232#5593C2214yescomplemented
233#5593C2214yescomplemented
234#5593C2214yescomplemented
235#5593C2214yescomplemented
236#5593C2214yescomplemented
237#5592C2214yescomplemented
238#5591C2214yescomplemented
239#5591C2214yescomplemented
240#5591C2214yescomplemented
241#5591C2214yescomplemented
242#5591C2214yescomplemented
243#5589C2214yescomplemented
244#5587C2214yescomplemented
245#5587C2214yescomplemented
246#5586C2212yescomplemented
247#5586C2212yescomplemented
248#5586C2214yescomplemented
249#5583C2212yescomplemented
250#5580C2212yescomplemented
251#5568C2212yescomplemented
252#5567C2212yescomplemented
253#5565C2214yescomplemented
254#5564C2214yescomplemented
255#5564C2214yescomplemented
256#5564C2214yescomplemented
257#5562C2212yescomplemented
258#5559C2212yescomplemented
259#5558C2214yescomplemented
260#5557C2212yescomplemented
261#5556C2214yescomplemented
262#5556C2214yescomplemented
263#5552C2212yescomplemented
264#5551C2212yescomplemented
265#5550C2212yescomplemented
266#5546C2214yescomplemented
267#5545C2214yescomplemented
268#5542C2212yescomplemented
269#5540C2214yescomplemented
270#5539C2214yescomplemented
271#5538C2212yescomplemented
272#5538C2212yescomplemented
273#5538C2214yescomplemented
274D4×Dic6C2212yescomplemented
275C4×#237C2212yescomplemented
276C4×#237C2212yescomplemented
277#5533C2212yescomplemented
278#5530C2212yescomplemented
279#5529C2212yescomplemented
280#5529C2212yescomplemented
281#5526C2211yescharacteristic, complemented
282#5523C2211yescharacteristic, complemented
283#5522C2211yescharacteristic, complemented
284#5517C2211yescharacteristic, complemented
285#5514C2212yescomplemented
286#5513C2212yescomplemented
287#5513C2212yescomplemented
288#5511C2212yescomplemented
289#5510C2211yescharacteristic, complemented
290#5504C2211yescharacteristic, complemented
291C2×#890C2211yescharacteristic, complemented
292C2×#887C2211yescharacteristic, complemented
293#5495C2214yescomplemented
294#5495C2214yescomplemented
295#5494C2214yescomplemented
296#5490C2214yescomplemented
297#5486C2214yescomplemented
298C2×#879C2212yescomplemented
299C2×#877C2212yescomplemented
300#3562—32no—
301#3562—32no—
302#3560—34no—
303#3552—32no—
304#3551—32no—
305#3551—32no—
306#3547—32no—
307#3546—32no—
308#3543—32no—
309#3534—34no—
310#3520—32no—
311#3519—34no—
312#3519—32no—
313#3517—32no—
314#3514—32no—
315#3514—32no—
316#3514—32no—
317#3512—31no—
318#3512—31no—
319#3507—31no—
320#3506—31no—
321#3505—32no—
322#3505—32no—
323#3500—31no—
324#3500—31no—
325#3497—31no—
326#3496—31no—
327#3494—34no—
328#3489—31no—
329#3489—31no—
330#3488—31no—
331#3488D311yescharacteristic, complemented
332#3444—31no—
333C2×#532—31no—
334C2×#529—31no—
335C3×H(5,𝔽2)—44no—
336C2×C3×#41—44no—
337C2×C3×#41C2311yescharacteristic
338C2×C3×#41C2311yescharacteristic
339C2×C3×#41C2311yescharacteristic
340C2×C3×#41C2312yes—
341C2×C3×#41C2311yescharacteristic
342C2×C3×#41C2312yes—
343C2×C3×#41C2311yescharacteristic
344C2×C3×#41C2312yes—
345C2×C3×#41C2312yes—
346C22×C3×Q8C2311yescharacteristic
347C22×C3×D4C2311yescharacteristic
348C22×C3×D4C2311yescharacteristic
349C22×C3×D4C2312yes—
350C22×C3×D4C2312yes—
351C22×C3×D4C2312yes—
352C22×C3×D4C2314yes—
353C22×C3×D4C2312yes—
354C22×C3×D4C2314yes—
355C23×C3×C4C2311yescharacteristic
356C23×C3×C4C2312yes—
357C22×#67C2312yes—
358C22×#67C2314yes—
359C22×#67C2314yes—
360C22×#67C2312yes—
361C22×#67C2312yes—
362C23×Dic3C2312yes—
363C23×Dic3C2311yescharacteristic
364C23×Dic3C2311yescharacteristic
365#1010—44no—
366#1010—44no—
367C2×D3×Q8C2312yes—
368C2×D3×Q8C2312yes—
369#1004—44no—
370C2×#237C2314yes—
371C2×#237C2312yes—
372C2×#237C2312yes—
373C2×#237C2312yes—
374C2×#237C2312yes—
375C2×#237C2314yes—
376C2×#237C2312yes—
377C2×#237C2314yes—
378C2×#237C2312yes—
379C2×D3×D4C2312yes—
380C2×D3×D4C2312yes—
381C2×D3×D4C2314yes—
382C2×#235—44no—
383C2×#235C2311yescharacteristic
384C2×#235C2311yescharacteristic
385C2×#235C2311yescharacteristic
386C2×#235C2312yes—
387C2×#235C2312yes—
388C2×#235C2312yes—
389C2×#235C2311yescharacteristic
390C2×#235C2311yescharacteristic
391C2×#235C2312yes—
392C22×D12C2311yescharacteristic
393C22×C4×D3C2312yes—
394C22×Dic6C2311yescharacteristic
395C22×Dic6C2312yes—
396C22×Dic6C2312yes—
397C22×Dic6C2311yescharacteristic
398C3×#127C2312yes—
399C3×#127C2314yes—
400C3×#124C2314yes—
401C3×#124C2312yes—
402C3×#123C2312yes—
403C3×#123C2314yes—
404C3×C22⋊Q8C2312yes—
405C3×C22⋊Q8C2312yes—
406C3×C22⋊Q8C2314yes—
407C3×C22⋊Q8C2311yescharacteristic
408C3×C22⋊Q8C2311yescharacteristic
409C3×#121C2311yescharacteristic
410C3×#121C2314yes—
411C3×#121C2311yescharacteristic
412C3×#121C2312yes—
413C3×#121C2312yes—
414C3×#121C2312yes—
415C3×#121C2312yes—
416C3×#121C2312yes—
417C3×#121C2312yes—
418C3×#121C2314yes—
419C3×#121C2314yes—
420C3×#121C2312yes—
421C3×#121C2312yes—
422C3×#121C2314yes—
423C3×#121C2314yes—
424C3×#121C2314yes—
425C3×#120C2312yes—
426C3×#120C2314yes—
427C3×#120C2314yes—
428C3×#120C2314yes—
429C3×#120C2314yes—
430C3×C4×Q8C2312yes—
431C3×C4×D4C2312yes—
432C3×C4×D4C2312yes—
433C3×C4×D4C2314yes—
434C3×C4×D4C2314yes—
435C3×C4×D4C2312yes—
436C3×C4×D4C2314yes—
437C3×#117C2311yescharacteristic
438C3×#117C2312yes—
439C2×C3×C4⋊C4C2311yescharacteristic
440C2×C3×C4⋊C4C2312yes—
441C2×C3×C22⋊C4C2312yes—
442C2×C3×C22⋊C4C2314yes—
443#953C2314yes—
444#953C2314yes—
445#953C2314yes—
446#953C2314yes—
447#953C2314yes—
448#953C2312yes—
449#953C2314yes—
450C2×#217C2312yes—
451C2×#217C2312yes—
452C2×#217C2312yes—
453C2×#217C2314yes—
454C2×#217C2314yes—
455C2×#217C2314yes—
456C2×#217C2312yes—
457C2×#217C2314yes—
458C2×#217C2312yes—
459C2×#217C2312yes—
460#947C2311yescharacteristic
461#947C2311yescharacteristic
462#947C2312yes—
463#947C2312yes—
464#947C2311yescharacteristic
465#947C2311yescharacteristic
466#947C2311yescharacteristic
467#946C2314yes—
468#946C2312yes—
469#946C2312yes—
470Q8×Dic3C2311yescharacteristic
471Q8×Dic3C2311yescharacteristic
472Q8×Dic3C2312yes—
473#944C2311yescharacteristic
474#944C2311yescharacteristic
475#944C2314yes—
476#944C2312yes—
477#944C2312yes—
478#944C2311yescharacteristic
479#944C2311yescharacteristic
480#944C2311yescharacteristic
481#944C2312yes—
482#940C2312yes—
483#940C2311yescharacteristic
484#940C2311yescharacteristic
485#940C2314yes—
486#940C2314yes—
487#940C2311yescharacteristic
488#940C2311yescharacteristic
489#940C2311yescharacteristic
490#940C2312yes—
491#940C2312yes—
492#939C2312yes—
493#939C2312yes—
494#939C2314yes—
495#939C2314yes—
496#939C2314yes—
497#939C2314yes—
498#939C2314yes—
499#939C2314yes—
500#939C2314yes—
501#939C2314yes—
502#939C2314yes—
503#939C2312yes—
504#939C2314yes—
505#939C2314yes—
506#939C2314yes—
507#939C2312yes—
508#939C2312yes—
509#939C2314yes—
510#939C2314yes—
511#939C2314yes—
512#939C2312yes—
513#939C2312yes—
514#939C2314yes—
515#939C2314yes—
516#939C2312yes—
517#939C2312yes—
518#939C2312yes—
519#939C2314yes—
520#939C2314yes—
521#939C2312yes—
522#939C2312yes—
523#939C2312yes—
524#939C2312yes—
525#939C2312yes—
526#939C2312yes—
527#939C2312yes—
528#939C2312yes—
529#939C2312yes—
530#939C2312yes—
531#939C2314yes—
532#938C2314yes—
533#938C2314yes—
534#938C2314yes—
535#938C2314yes—
536#938C2314yes—
537#938C2314yes—
538#938C2314yes—
539#938C2314yes—
540#938C2312yes—
541#938C2312yes—
542#938C2312yes—
543#938C2312yes—
544#938C2314yes—
545#937C2314yes—
546#937C2314yes—
547#937C2314yes—
548#937C2314yes—
549#937C2314yes—
550#937C2314yes—
551#937C2314yes—
552#936C2314yes—
553#936C2314yes—
554#936C2312yes—
555#936C2312yes—
556#936C2312yes—
557#936C2311yescharacteristic
558#936C2314yes—
559#936C2311yescharacteristic
560#936C2311yescharacteristic
561#936C2311yescharacteristic
562#936C2312yes—
563#936C2312yes—
564#936C2312yes—
565#936C2312yes—
566#936C2312yes—
567#936C2311yescharacteristic
568#936C2314yes—
569#935C2314yes—
570#935C2314yes—
571#935C2314yes—
572#935C2314yes—
573#935C2314yes—
574#935C2314yes—
575#935C2312yes—
576#935C2314yes—
577#935C2314yes—
578#935C2314yes—
579#935C2314yes—
580#935C2312yes—
581#935C2314yes—
582#935C2314yes—
583#935C2314yes—
584#935C2314yes—
585D4×Dic3C2312yes—
586D4×Dic3C2312yes—
587D4×Dic3C2312yes—
588D4×Dic3C2312yes—
589D4×Dic3C2312yes—
590D4×Dic3C2314yes—
591D4×Dic3C2314yes—
592D4×Dic3C2314yes—
593D4×Dic3C2314yes—
594D4×Dic3C2314yes—
595D4×Dic3C2312yes—
596D4×Dic3C2314yes—
597D4×Dic3C2314yes—
598D4×Dic3C2312yes—
599D4×Dic3C2314yes—
600D4×Dic3C2314yes—
601D4×Dic3C2314yes—
602D4×Dic3C2314yes—
603D4×Dic3C2312yes—
604D4×Dic3C2312yes—
605D4×Dic3C2311yescharacteristic
606D4×Dic3C2311yescharacteristic
607D4×Dic3C2314yes—
608#930C2314yes—
609#930C2314yes—
610#930C2312yes—
611#930C2311yescharacteristic
612#930C2311yescharacteristic
613#930C2312yes—
614#929C2314yes—
615#929C2314yes—
616#929C2312yes—
617#929C2314yes—
618#929C2314yes—
619#929C2314yes—
620C4×#67C2312yes—
621C4×#67C2312yes—
622C4×#67C2312yes—
623C4×#67C2312yes—
624C4×#67C2314yes—
625C4×#67C2312yes—
626C4×#67C2314yes—
627C4×#67C2312yes—
628C4×#67C2312yes—
629C4×#67C2314yes—
630C4×#67C2312yes—
631C4×#67C2312yes—
632C4×#67C2312yes—
633C4×#67C2314yes—
634C4×#67C2314yes—
635C4×#67C2314yes—
636C4×#67C2312yes—
637C4×#67C2312yes—
638C4×#67C2312yes—
639C4×#67C2312yes—
640C4×#67C2312yes—
641C4×#67C2312yes—
642C4×#67C2312yes—
643C4×#67C2312yes—
644C4×#67C2312yes—
645C4×#67C2312yes—
646C4×#67C2314yes—
647C2×(C2×D3)⋊C4C2314yes—
648C2×(C2×D3)⋊C4C2312yes—
649C2×(C2×D3)⋊C4C2312yes—
650#926C2312yes—
651#926C2314yes—
652#926C2314yes—
653#926C2311yescharacteristic
654#926C2312yes—
655C2×C4⋊Dic3C2312yes—
656C2×C4⋊Dic3C2312yes—
657C2×C4⋊Dic3C2311yescharacteristic
658#924C2314yes—
659#924C2314yes—
660#924C2314yes—
661#924C2312yes—
662#924C2312yes—
663#924C2312yes—
664#924C2312yes—
665#924C2311yescharacteristic
666#924C2312yes—
667#924C2314yes—
668#924C2312yes—
669#924C2312yes—
670#924C2311yescharacteristic
671#924C2312yes—
672#924C2314yes—
673C2×Dic3⋊C4C2312yes—
674C2×Dic3⋊C4C2312yes—
675C2×Dic3⋊C4C2312yes—
676C2×Dic3⋊C4C2314yes—
677C2×Dic3⋊C4C2312yes—
678C2×Dic3⋊C4C2312yes—
679C2×Dic3⋊C4C2314yes—
680C2×C4×Dic3C2311yescharacteristic
681C2×C4×Dic3C2311yescharacteristic
682C2×C4×Dic3C2312yes—
683C2×C4×Dic3C2311yescharacteristic
684C2×C4×Dic3C2311yescharacteristic
685C2×C4×Dic3C2311yescharacteristic
686C2×C4×Dic3C2311yescharacteristic
687C2×C4×Dic3C2311yescharacteristic
688C2×C4×Dic3C2311yescharacteristic
689C2×C4×Dic3C2311yescharacteristic
690C2×C4×Dic3C2311yescharacteristic
691C2×C4×Dic3C2311yescharacteristic
692C2×C4×Dic3C2311yescharacteristic
693C2×C4×Dic3C2312yes—
694#898C2314yes—
695#898C2314yes—
696#898C2314yes—
697#898C2312yes—
698#898C2314yes—
699#898C2312yes—
700#897C2312yes—
701#897C2312yes—
702#897C2312yes—
703#897C2312yes—
704#896C2314yes—
705#896C2314yes—
706#896C2314yes—
707#896C2314yes—
708#895C2312yes—
709#895C2312yes—
710#894C2314yes—
711#894C2314yes—
712#893C2314yes—
713#893C2312yes—
714#893C2311yescharacteristic
715#893C2311yescharacteristic
716#892C2312yes—
717#892C2314yes—
718#892C2312yes—
719#892C2312yes—
720#892C2312yes—
721D3×C4⋊C4C2312yes—
722D3×C4⋊C4C2314yes—
723D3×C4⋊C4C2312yes—
724#890C2312yes—
725#890C2314yes—
726#890C2312yes—
727#890C2312yes—
728#890C2312yes—
729#890C2311yescharacteristic
730#890C2311yescharacteristic
731#889C2314yes—
732#889C2314yes—
733#889C2312yes—
734#889C2312yes—
735#889C2314yes—
736#889C2314yes—
737#888C2314yes—
738#888C2314yes—
739#888C2311yescharacteristic
740#888C2311yescharacteristic
741#887C2312yes—
742#887C2312yes—
743#887C2312yes—
744#887C2312yes—
745#887C2312yes—
746#887C2312yes—
747#887C2312yes—
748#887C2311yescharacteristic
749#887C2311yescharacteristic
750#886C2314yes—
751#886C2314yes—
752#886C2314yes—
753#886C2314yes—
754#886C2312yes—
755#886C2312yes—
756#885C2314yes—
757#885C2314yes—
758#885C2314yes—
759#885C2314yes—
760#885C2314yes—
761#885C2312yes—
762#885C2312yes—
763#885C2314yes—
764#885C2314yes—
765#885C2314yes—
766#884C2314yes—
767#884C2314yes—
768#884C2314yes—
769#884C2314yes—
770#884C2314yes—
771#884C2314yes—
772#883C2314yes—
773#883C2314yes—
774#883C2314yes—
775#883C2314yes—
776#883C2314yes—
777#883C2314yes—
778#883C2314yes—
779#883C2314yes—
780#883C2314yes—
781#883C2314yes—
782#882C2314yes—
783#67⋊C4C2314yes—
784#67⋊C4C2314yes—
785#67⋊C4C2312yes—
786#67⋊C4C2312yes—
787#67⋊C4C2312yes—
788#67⋊C4C2312yes—
789#67⋊C4C2314yes—
790#67⋊C4C2314yes—
791#67⋊C4C2314yes—
792#67⋊C4C2314yes—
793#67⋊C4C2314yes—
794#67⋊C4C2312yes—
795#67⋊C4C2312yes—
796D3×C22⋊C4C2314yes—
797D3×C22⋊C4C2314yes—
798D3×C22⋊C4C2314yes—
799D3×C22⋊C4C2314yes—
800#879C2314yes—
801#879C2314yes—
802#879C2314yes—
803#879C2314yes—
804#879C2312yes—
805#879C2312yes—
806#879C2314yes—
807#879C2314yes—
808#879C2314yes—
809#879C2314yes—
810#879C2314yes—
811#879C2314yes—
812#879C2314yes—
813#879C2314yes—
814#878C2314yes—
815#878C2314yes—
816#878C2312yes—
817#878C2312yes—
818#878C2314yes—
819#878C2314yes—
820#878C2314yes—
821#878C2314yes—
822#878C2314yes—
823#878C2314yes—
824#878C2312yes—
825#878C2312yes—
826#877C2314yes—
827#877C2314yes—
828#877C2312yes—
829#877C2312yes—
830#877C2314yes—
831#877C2314yes—
832#877C2314yes—
833#877C2314yes—
834#877C2312yes—
835#877C2312yes—
836#876C2314yes—
837#876C2314yes—
838#875C2312yes—
839C4×D12C2314yes—
840C4×D12C2312yes—
841#872C2314yes—
842#872C2314yes—
843#872C2312yes—
844C42×D3C2312yes—
845#870C2314yes—
846#870C2314yes—
847#869C2312yes—
848C4×Dic6C2314yes—
849C4×Dic6C2312yes—
850C4×Dic6C2312yes—
851C4×Dic6C2312yes—
852C2×2−1+4—31no—
853C2×2−1+4—31no—
854C2×H(5,𝔽2)—31no—
855C2×H(5,𝔽2)C2×D311yescharacteristic, complemented
856C22×#41—31no—
857C22×#41C2×D311yescharacteristic, complemented
858#563—34no—
859#563—34no—
860#562—34no—
861#562—34no—
862#560—34no—
863#560—34no—
864#560—34no—
865#560—34no—
866#559—32no—
867#559—32no—
868#559—32no—
869#557—32no—
870#556—32no—
871#556—32no—
872#556—32no—
873#556—32no—
874#555—34no—
875#555—34no—
876#555—32no—
877#555—34no—
878#554—34no—
879#554—32no—
880#553—34no—
881#553—34no—
882#553—34no—
883#553—32no—
884#553—32no—
885#553—32no—
886#553—34no—
887#553—32no—
888#553—34no—
889#553—34no—
890#553—34no—
891#553—34no—
892#553—34no—
893#553—34no—
894#553—32no—
895#553—32no—
896#552—32no—
897#552—32no—
898#552—32no—
899#552—32no—
900#552—32no—
901#552—32no—
902#551—34no—
903#551—34no—
904#551—34no—
905#551—34no—
906#551—34no—
907#551—34no—
908#551—34no—
909#551—34no—
910#550—32no—
911#550—34no—
912#550—32no—
913#550—32no—
914#550—32no—
915#550C2×D312yescomplemented
916D4×Q8—32no—
917D4×Q8—32no—
918D4×Q8—32no—
919D4×Q8—32no—
920#548—32no—
921#548—32no—
922#548—32no—
923#548—32no—
924#548—32no—
925#548—32no—
926#548—32no—
927#548—32no—
928#548—32no—
929#548—32no—
930#548—32no—
931#548C2×D312yescomplemented
932#547—34no—
933#547—32no—
934#547—32no—
935#547—32no—
936#547—34no—
937#547—32no—
938#547—32no—
939#546—32no—
940#546—32no—
941#546—32no—
942#546—34no—
943#546—34no—
944#546—32no—
945#546—32no—
946#546—32no—
947#546—32no—
948#546—34no—
949#546—34no—
950#546—32no—
951#546—32no—
952#546—32no—
953#546—34no—
954#546—34no—
955#546—34no—
956#546—34no—
957#546—34no—
958#546—34no—
959#546—32no—
960#546—34no—
961#546C2×D314yescomplemented
962#546C2×D312yescomplemented
963D42—34no—
964D42—32no—
965D42—32no—
966D42—34no—
967D42—32no—
968D42C2×D312yescomplemented
969D42C2×D314yescomplemented
970#544—34no—
971#542—34no—
972#542—34no—
973#542—34no—
974#542—34no—
975#541—32no—
976#541—32no—
977#540—34no—
978#540—34no—
979#540—34no—
980#540—34no—
981#540—32no—
982#540—34no—
983#540—34no—
984#540—32no—
985#539—34no—
986#539—34no—
987#539—34no—
988#539—34no—
989#539—34no—
990#538—34no—
991#538—34no—
992#538—34no—
993#538—34no—
994#538—34no—
995#538—34no—
996#538—34no—
997#538—34no—
998#538—34no—
999#538—34no—
1000#538—34no—
1001#537—31no—
1002#537—31no—
1003#537—32no—
1004#537—32no—
1005#537—32no—
1006#537—34no—
1007#537—31no—
1008#537C2×D311yescharacteristic, complemented
1009#537C2×D312yescomplemented
1010#536—31no—
1011#536—32no—
1012#536—32no—
1013#536—32no—
1014#536—32no—
1015#536—31no—
1016#535—31no—
1017#535—32no—
1018#535—32no—
1019#535—32no—
1020#535—34no—
1021#535C2×D311yescharacteristic, complemented
1022#535C2×D312yescomplemented
1023#534—34no—
1024#534—34no—
1025#534—34no—
1026#533—31no—
1027#533—31no—
1028#533—31no—
1029#532—32no—
1030#532—31no—
1031#532—31no—
1032#532—31no—
1033#532—31no—
1034#532—31no—
1035#532—31no—
1036#532—32no—
1037#532—32no—
1038#532—32no—
1039#532—31no—
1040#532—31no—
1041#532—31no—
1042#532—32no—
1043#532—32no—
1044#532—31no—
1045#532—31no—
1046#532—34no—
1047C2×C4⋊Q8—31no—
1048C2×#127—31no—
1049#529—32no—
1050#529—32no—
1051#529—31no—
1052#529—31no—
1053#529—32no—
1054#529—32no—
1055#529—32no—
1056#529—32no—
1057#529—32no—
1058#529—32no—
1059#529—32no—
1060#529—32no—
1061#529—32no—
1062#529—31no—
1063#529—31no—
1064#529—32no—
1065#529—32no—
1066#529—32no—
1067#529—32no—
1068#529—34no—
1069#529—32no—
1070C2×#126—32no—
1071C2×#125—31no—
1072C2×#124—31no—
1073C2×#124—31no—
1074C2×#124—31no—
1075C2×#124—32no—
1076C2×#124—32no—
1077#525—31no—
1078#525—32no—
1079#525—32no—
1080#525—32no—
1081#525—32no—
1082#525—32no—
1083#525—34no—
1084#525C2×D311yescharacteristic, complemented
1085#525C2×D312yescomplemented
1086C2×#123—32no—
1087C2×C22⋊Q8—31no—
1088C2×C22⋊Q8—32no—
1089C2×C22⋊Q8—32no—
1090C2×#121—32no—
1091C2×#121—32no—
1092C2×#121—34no—
1093C2×#121—32no—
1094C2×#121C2×D311yescharacteristic
1095C2×#121C2×D312yescomplemented
1096#520—31no—
1097#520—34no—
1098#520—31no—
1099#520—31no—
1100#520C2×D311yescharacteristic, complemented
1101#518—34no—
1102#518—34no—
1103#518—34no—
1104C4×#41—31no—
1105C4×#41—32no—
1106C4×#41—32no—
1107C4×#41—31no—
1108C2×C4×Q8—31no—
1109C2×C4×D4—31no—
1110C2×C4×D4—32no—
1111C2×C4×D4—32no—
1112C2×C4×D4—32no—
1113C2×#117—32no—
1114C22×C42—31no—
1115C24×C3C2411yescharacteristic
1116C24×C3C2412yes—
1117C24×C3C2412yes—
1118C24×C3C2414yes—
1119C23×D3C2412yes—
1120C23×D3C2414yes—
1121C3×#41—24no—
1122C3×#41—24no—
1123C3×#41—24no—
1124C3×#41—44no—
1125C3×#41—44no—
1126C3×#41—42no—
1127C3×#41—42no—
1128C3×#41—44no—
1129C3×#41—44no—
1130C2×C3×Q8—42no—
1131C2×C3×Q8C2411yescharacteristic
1132C2×C3×Q8C2411yescharacteristic
1133C2×C3×Q8C2411yescharacteristic
1134C2×C3×Q8C2412yes—
1135C2×C3×D4—24no—
1136C2×C3×D4—42no—
1137C2×C3×D4—44no—
1138C2×C3×D4—44no—
1139C2×C3×D4—44no—
1140C2×C3×D4—48no—
1141C2×C3×D4—44no—
1142C2×C3×D4—48no—
1143C2×C3×D4C2414yes—
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×D4C2411yescharacteristic
1153C2×C3×D4C2414yes—
1154C2×C3×D4C2414yes—
1155C2×C3×D4C2414yes—
1156C2×C3×D4C2414yes—
1157C2×C3×D4C2412yes—
1158C2×C3×D4C2414yes—
1159C2×C3×D4C2412yes—
1160C2×C3×D4C2412yes—
1161C2×C3×D4C2414yes—
1162C2×C3×D4C2412yes—
1163C22×C3×C4—24no—
1164C22×C3×C4—44no—
1165C22×C3×C4C2411yescharacteristic
1166C22×C3×C4C2411yescharacteristic
1167C22×C3×C4C2411yescharacteristic
1168C22×C3×C4C2411yescharacteristic
1169C22×C3×C4C2411yescharacteristic
1170C22×C3×C4C2412yes—
1171C22×C3×C4C2412yes—
1172C22×C3×C4C2412yes—
1173C22×C3×C4C2412yes—
1174C22×C3×C4C2412yes—
1175C22×C3×C4C2412yes—
1176C22×C3×C4C2414yes—
1177C22×C3×C4C2412yes—
1178C22×C3×C4C2414yes—
1179C22×C3×C4C2411yescharacteristic
1180C2×#67—48no—
1181C2×#67—44no—
1182C2×#67—44no—
1183C2×#67—44no—
1184C2×#67—48no—
1185C2×#67C2412yes—
1186C2×#67C2412yes—
1187C2×#67C2412yes—
1188C2×#67C2412yes—
1189C2×#67C2412yes—
1190C2×#67C2412yes—
1191C2×#67C2412yes—
1192C2×#67C2414yes—
1193C2×#67C2414yes—
1194C2×#67C2412yes—
1195C2×#67C2414yes—
1196C2×#67C2412yes—
1197C2×#67C2414yes—
1198C2×#67C2412yes—
1199C2×#67C2412yes—
1200C2×#67C2412yes—
1201C2×#67C2412yes—
1202C2×#67C2414yes—
1203C2×#67C2414yes—
1204C2×#67C2414yes—
1205C2×#67C2412yes—
1206C2×#67C2412yes—
1207C2×#67C2414yes—
1208C2×#67C2412yes—
1209C2×#67C2412yes—
1210C22×Dic3—42no—
1211C22×Dic3—44no—
1212C22×Dic3—42no—
1213C22×Dic3C2414yes—
1214C22×Dic3C2411yescharacteristic
1215C22×Dic3C2411yescharacteristic
1216C22×Dic3C2411yescharacteristic
1217C22×Dic3C2411yescharacteristic
1218C22×Dic3C2411yescharacteristic
1219C22×Dic3C2412yes—
1220C22×Dic3C2414yes—
1221C22×Dic3C2412yes—
1222C22×Dic3C2412yes—
1223C22×Dic3C2414yes—
1224C22×Dic3C2414yes—
1225C22×Dic3C2414yes—
1226C22×Dic3C2411yescharacteristic
1227C22×Dic3C2411yescharacteristic
1228C22×Dic3C2412yes—
1229C22×Dic3C2414yes—
1230C22×Dic3C2411yescharacteristic
1231C22×Dic3C2411yescharacteristic
1232C22×Dic3C2411yescharacteristic
1233C22×Dic3C2411yescharacteristic
1234C22×Dic3C2412yes—
1235C22×Dic3C2411yescharacteristic
1236D3×Q8—44no—
1237D3×Q8—44no—
1238#237—44no—
1239#237—44no—
1240#237—44no—
1241#237—44no—
1242#237—44no—
1243#237—48no—
1244#237—44no—
1245#237—48no—
1246#237—48no—
1247D3×D4—44no—
1248D3×D4—44no—
1249D3×D4—48no—
1250#235—24no—
1251#235—24no—
1252#235—24no—
1253#235—42no—
1254#235—42no—
1255#235—44no—
1256#235—44no—
1257#235—44no—
1258#235—44no—
1259C2×D12—42no—
1260C2×D12C2411yescharacteristic
1261C2×D12C2411yescharacteristic
1262C2×D12C2411yescharacteristic
1263C2×D12C2414yes—
1264C2×D12C2412yes—
1265C2×C4×D3—44no—
1266C2×C4×D3C2412yes—
1267C2×C4×D3C2412yes—
1268C2×C4×D3C2412yes—
1269C2×C4×D3C2412yes—
1270C2×C4×D3C2412yes—
1271C2×C4×D3C2414yes—
1272C2×C4×D3C2414yes—
1273C2×C4×D3C2412yes—
1274C2×C4×D3C2414yes—
1275C2×C4×D3C2414yes—
1276C2×C4×D3C2412yes—
1277C2×Dic6—24no—
1278C2×Dic6—42no—
1279C2×Dic6—44no—
1280C2×Dic6—44no—
1281C2×Dic6C2412yes—
1282C2×Dic6C2411yescharacteristic
1283C2×Dic6C2411yescharacteristic
1284C2×Dic6C2412yes—
1285C2×Dic6C2412yes—
1286C2×Dic6C2411yescharacteristic
1287C2×Dic6C2412yes—
1288C2×Dic6C2412yes—
1289C2×Dic6C2414yes—
1290C2×Dic6C2414yes—
1291C3×C4⋊C4C2412yes—
1292C3×C4⋊C4C2412yes—
1293C3×C4⋊C4C2412yes—
1294C3×C4⋊C4C2411yescharacteristic
1295C3×C4⋊C4C2411yescharacteristic
1296C3×C4⋊C4C2412yes—
1297C3×C4⋊C4C2414yes—
1298C3×C4⋊C4C2414yes—
1299C3×C22⋊C4C2414yes—
1300C3×C22⋊C4C2414yes—
1301C3×C22⋊C4C2412yes—
1302C3×C22⋊C4C2412yes—
1303C3×C22⋊C4C2414yes—
1304C3×C22⋊C4C2414yes—
1305C3×C22⋊C4C2412yes—
1306C3×C22⋊C4C2412yes—
1307C3×C22⋊C4C2414yes—
1308C3×C22⋊C4C2412yes—
1309C3×C22⋊C4C2414yes—
1310C3×C22⋊C4C2414yes—
1311C3×C42C2412yes—
1312C3×C42C2414yes—
1313#217C2414yes—
1314#217C2414yes—
1315#217C2412yes—
1316#217C2412yes—
1317#217C2414yes—
1318#217C2412yes—
1319#217C2412yes—
1320#217C2412yes—
1321#217C2412yes—
1322#217C2412yes—
1323#217C2414yes—
1324#217C2414yes—
1325#217C2414yes—
1326#217C2414yes—
1327#217C2414yes—
1328#217C2412yes—
1329#217C2412yes—
1330#217C2414yes—
1331#217C2414yes—
1332#217C2412yes—
1333#217C2412yes—
1334#217C2412yes—
1335#217C2412yes—
1336#217C2414yes—
1337#217C2414yes—
1338#217C2414yes—
1339#217C2414yes—
1340#217C2412yes—
1341#217C2414yes—
1342#217C2412yes—
1343(C2×D3)⋊C4C2412yes—
1344(C2×D3)⋊C4C2412yes—
1345(C2×D3)⋊C4C2414yes—
1346(C2×D3)⋊C4C2412yes—
1347(C2×D3)⋊C4C2414yes—
1348(C2×D3)⋊C4C2412yes—
1349(C2×D3)⋊C4C2412yes—
1350(C2×D3)⋊C4C2414yes—
1351(C2×D3)⋊C4C2414yes—
1352(C2×D3)⋊C4C2414yes—
1353(C2×D3)⋊C4C2412yes—
1354(C2×D3)⋊C4C2414yes—
1355(C2×D3)⋊C4C2414yes—
1356(C2×D3)⋊C4C2412yes—
1357(C2×D3)⋊C4C2412yes—
1358(C2×D3)⋊C4C2412yes—
1359(C2×D3)⋊C4C2414yes—
1360(C2×D3)⋊C4C2412yes—
1361(C2×D3)⋊C4C2412yes—
1362(C2×D3)⋊C4C2412yes—
1363(C2×D3)⋊C4C2412yes—
1364(C2×D3)⋊C4C2412yes—
1365C4⋊Dic3C2414yes—
1366C4⋊Dic3C2412yes—
1367C4⋊Dic3C2412yes—
1368C4⋊Dic3C2412yes—
1369C4⋊Dic3C2414yes—
1370C4⋊Dic3C2414yes—
1371C4⋊Dic3C2414yes—
1372C4⋊Dic3C2414yes—
1373C4⋊Dic3C2414yes—
1374C4⋊Dic3C2412yes—
1375C4⋊Dic3C2412yes—
1376C4⋊Dic3C2411yescharacteristic
1377C4⋊Dic3C2411yescharacteristic
1378C4⋊Dic3C2412yes—
1379Dic3⋊C4C2412yes—
1380Dic3⋊C4C2414yes—
1381Dic3⋊C4C2412yes—
1382Dic3⋊C4C2412yes—
1383Dic3⋊C4C2414yes—
1384Dic3⋊C4C2412yes—
1385Dic3⋊C4C2412yes—
1386Dic3⋊C4C2412yes—
1387Dic3⋊C4C2412yes—
1388Dic3⋊C4C2412yes—
1389Dic3⋊C4C2414yes—
1390Dic3⋊C4C2414yes—
1391Dic3⋊C4C2414yes—
1392Dic3⋊C4C2414yes—
1393Dic3⋊C4C2414yes—
1394Dic3⋊C4C2412yes—
1395Dic3⋊C4C2412yes—
1396Dic3⋊C4C2414yes—
1397Dic3⋊C4C2414yes—
1398Dic3⋊C4C2412yes—
1399Dic3⋊C4C2414yes—
1400Dic3⋊C4C2414yes—
1401Dic3⋊C4C2412yes—
1402Dic3⋊C4C2412yes—
1403Dic3⋊C4C2414yes—
1404Dic3⋊C4C2412yes—
1405Dic3⋊C4C2412yes—
1406Dic3⋊C4C2412yes—
1407Dic3⋊C4C2412yes—
1408Dic3⋊C4C2412yes—
1409C4×Dic3C2411yescharacteristic
1410C4×Dic3C2411yescharacteristic
1411C4×Dic3C2412yes—
1412C4×Dic3C2414yes—
1413C4×Dic3C2414yes—
1414C4×Dic3C2414yes—
1415C4×Dic3C2411yescharacteristic
1416C4×Dic3C2412yes—
1417C4×Dic3C2412yes—
1418C4×Dic3C2411yescharacteristic
1419C4×Dic3C2414yes—
1420C4×Dic3C2411yescharacteristic
1421C4×Dic3C2411yescharacteristic
1422C4×Dic3C2411yescharacteristic
1423C4×Dic3C2411yescharacteristic
1424C4×Dic3C2412yes—
1425C4×Dic3C2411yescharacteristic
1426C4×Dic3C2414yes—
1427C4×Dic3C2412yes—
1428C4×Dic3C2411yescharacteristic
1429C4×Dic3C2411yescharacteristic
1430C4×Dic3C2411yescharacteristic
1431C4×Dic3C2411yescharacteristic
1432C4×Dic3C2411yescharacteristic
1433C4×Dic3C2411yescharacteristic
1434C4×Dic3C2411yescharacteristic
14352−1+4—124no—
14362−1+4—124no—
1437H(5,𝔽2)—44no—
1438H(5,𝔽2)—124no—
1439C2×#41—32no—
1440C2×#41—32no—
1441C2×#41—34no—
1442C2×#41—32no—
1443C2×#41—32no—
1444C2×#41—32no—
1445C2×#41—32no—
1446C2×#41—34no—
1447C2×#41—34no—
1448C2×#41—31no—
1449C2×#41—31no—
1450C2×#41—31no—
1451C2×#41—32no—
1452C2×#41—32no—
1453C2×#41—32no—
1454C2×#41—31no—
1455C2×#41—31no—
1456C2×#41—32no—
1457C2×#41—44no—
1458C2×#41—124no—
1459C2×#41C22×D311yescharacteristic
1460C2×#41C22×D311yescharacteristic
1461C2×#41C22×D311yescharacteristic
1462C2×#41C22×D312yes—
1463C2×#41C22×D312yes—
1464C2×#41C22×D312yes—
1465C2×#41C22×D311yescharacteristic
1466C2×#41C22×D311yescharacteristic
1467C2×#41C22×D312yes—
1468C22×Q8—32no—
1469C22×Q8—32no—
1470C22×Q8—31no—
1471C22×Q8—32no—
1472C22×Q8—31no—
1473C22×Q8—32no—
1474C22×Q8C22×D311yescharacteristic
1475C22×D4—32no—
1476C22×D4—32no—
1477C22×D4—34no—
1478C22×D4—32no—
1479C22×D4—34no—
1480C22×D4—34no—
1481C22×D4—32no—
1482C22×D4—32no—
1483C22×D4—31no—
1484C22×D4C22×D311yescharacteristic
1485C22×D4C22×D312yes—
1486C22×D4C22×D314yes—
1487C22×D4C22×D312yes—
1488C22×D4C22×D314yes—
1489C22×D4C22×D312yes—
1490C22×D4C22×D311yescharacteristic
1491C22×D4C22×D312yes—
1492C23×C4—32no—
1493C23×C4—31no—
1494C23×C4—31no—
1495C23×C4—32no—
1496C23×C4C22×D311yescharacteristic
1497C23×C4C22×D312yes—
1498C4⋊Q8—31no—
1499C4⋊Q8—31no—
1500C4⋊Q8—32no—
1501C4⋊Q8—31no—
1502C4⋊Q8—31no—
1503C4⋊Q8—32no—
1504C4⋊Q8—31no—
1505C4⋊Q8—32no—
1506C4⋊Q8—34no—
1507C4⋊Q8—31no—
1508C4⋊Q8—31no—
1509C4⋊Q8—34no—
1510C4⋊Q8—34no—
1511C4⋊Q8—32no—
1512#127—32no—
1513#127—31no—
1514#127—31no—
1515#127—31no—
1516#127—31no—
1517#127—32no—
1518#127—31no—
1519#127—32no—
1520#127—34no—
1521#127—34no—
1522#127C22×D312yes—
1523#127C22×D314yes—
1524#126—32no—
1525#126—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—32no—
1535#126—32no—
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—32no—
1547#125—32no—
1548#125—32no—
1549#125—32no—
1550#125—32no—
1551#125—32no—
1552#125—31no—
1553#125—31no—
1554#125—34no—
1555#125—34no—
1556#125—34no—
1557#125—34no—
1558#125—34no—
1559#125—34no—
1560#125—34no—
1561#124—31no—
1562#124—31no—
1563#124—32no—
1564#124—31no—
1565#124—31no—
1566#124—32no—
1567#124—31no—
1568#124—32no—
1569#124—31no—
1570#124—31no—
1571#124—32no—
1572#124—32no—
1573#124—32no—
1574#124—32no—
1575#124—31no—
1576#124—31no—
1577#124—32no—
1578#124—32no—
1579#124—32no—
1580#124—34no—
1581#124—34no—
1582#124—31no—
1583#124—34no—
1584#124—34no—
1585#124—34no—
1586#124—34no—
1587#124—32no—
1588#124—32no—
1589#124—34no—
1590#124—34no—
1591#124—34no—
1592#124—34no—
1593#124—34no—
1594#124—34no—
1595#124—32no—
1596#124C22×D312yes—
1597#124C22×D314yes—
1598#123—34no—
1599#123—34no—
1600#123—34no—
1601#123—34no—
1602#123—32no—
1603#123—32no—
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—32no—
1615#123—34no—
1616#123—34no—
1617#123—34no—
1618#123—34no—
1619#123—34no—
1620#123—34no—
1621#123—34no—
1622#123—32no—
1623#123—32no—
1624#123—34no—
1625#123—34no—
1626#123—34no—
1627#123—34no—
1628#123—34no—
1629#123—34no—
1630#123—34no—
1631#123—34no—
1632#123—34no—
1633#123—34no—
1634#123—34no—
1635#123—34no—
1636#123—34no—
1637#123—34no—
1638#123C22×D312yes—
1639#123C22×D314yes—
1640C22⋊Q8—32no—
1641C22⋊Q8—32no—
1642C22⋊Q8—34no—
1643C22⋊Q8—32no—
1644C22⋊Q8—31no—
1645C22⋊Q8—32no—
1646C22⋊Q8—32no—
1647C22⋊Q8—32no—
1648C22⋊Q8—32no—
1649C22⋊Q8—32no—
1650C22⋊Q8—34no—
1651C22⋊Q8—34no—
1652C22⋊Q8—31no—
1653C22⋊Q8—32no—
1654C22⋊Q8—32no—
1655C22⋊Q8—34no—
1656C22⋊Q8—34no—
1657C22⋊Q8—34no—
1658C22⋊Q8—32no—
1659C22⋊Q8—34no—
1660C22⋊Q8—32no—
1661C22⋊Q8—32no—
1662C22⋊Q8—32no—
1663C22⋊Q8—34no—
1664C22⋊Q8—34no—
1665C22⋊Q8—34no—
1666C22⋊Q8—34no—
1667C22⋊Q8—32no—
1668C22⋊Q8—32no—
1669C22⋊Q8—32no—
1670C22⋊Q8—32no—
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×D312yes—
1681C22⋊Q8C22×D312yes—
1682C22⋊Q8C22×D314yes—
1683#121—32no—
1684#121—32no—
1685#121—32no—
1686#121—32no—
1687#121—32no—
1688#121—32no—
1689#121—32no—
1690#121—32no—
1691#121—32no—
1692#121—32no—
1693#121—32no—
1694#121—32no—
1695#121—32no—
1696#121—32no—
1697#121—32no—
1698#121—32no—
1699#121—32no—
1700#121—34no—
1701#121—34no—
1702#121—32no—
1703#121—34no—
1704#121—34no—
1705#121—34no—
1706#121—34no—
1707#121—34no—
1708#121—32no—
1709#121—32no—
1710#121—32no—
1711#121—32no—
1712#121—32no—
1713#121—34no—
1714#121—32no—
1715#121—34no—
1716#121—34no—
1717#121—34no—
1718#121—34no—
1719#121—34no—
1720#121—34no—
1721#121—34no—
1722#121—34no—
1723#121—34no—
1724#121—34no—
1725#121—34no—
1726#121—34no—
1727#121—34no—
1728#121—34no—
1729#121—34no—
1730#121—34no—
1731#121—34no—
1732#121—34no—
1733#121—34no—
1734#121—34no—
1735#121—34no—
1736#121—31no—
1737#121—31no—
1738#121—32no—
1739#121—32no—
1740#121—34no—
1741#121—34no—
1742#121—32no—
1743#121—32no—
1744#121—34no—
1745#121—34no—
1746#121—34no—
1747#121—34no—
1748#121—34no—
1749#121—34no—
1750#121C22×D312yes—
1751#121C22×D312yes—
1752#121C22×D312yes—
1753#121C22×D312yes—
1754#121C22×D311yescharacteristic
1755#121C22×D312yes—
1756#121C22×D312yes—
1757#121C22×D314yes—
1758#121C22×D314yes—
1759#121C22×D311yescharacteristic
1760#121C22×D312yes—
1761#121C22×D312yes—
1762#121C22×D314yes—
1763#121C22×D314yes—
1764#121C22×D314yes—
1765#121C22×D314yes—
1766#120—32no—
1767#120—34no—
1768#120—34no—
1769#120—34no—
1770#120—34no—
1771#120—34no—
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#120C22×D312yes—
1782#120C22×D314yes—
1783#120C22×D314yes—
1784#120C22×D314yes—
1785#120C22×D314yes—
1786C4×Q8—31no—
1787C4×Q8—31no—
1788C4×Q8—32no—
1789C4×Q8—32no—
1790C4×Q8—32no—
1791C4×Q8—32no—
1792C4×Q8—32no—
1793C4×Q8—32no—
1794C4×Q8—32no—
1795C4×Q8—31no—
1796C4×Q8—31no—
1797C4×Q8—32no—
1798C4×Q8—32no—
1799C4×Q8—32no—
1800C4×Q8—32no—
1801C4×Q8—34no—
1802C4×Q8C22×D312yes—
1803C4×D4—34no—
1804C4×D4—34no—
1805C4×D4—34no—
1806C4×D4—32no—
1807C4×D4—32no—
1808C4×D4—32no—
1809C4×D4—32no—
1810C4×D4—34no—
1811C4×D4—32no—
1812C4×D4—32no—
1813C4×D4—32no—
1814C4×D4—32no—
1815C4×D4—31no—
1816C4×D4—31no—
1817C4×D4—34no—
1818C4×D4—34no—
1819C4×D4—34no—
1820C4×D4—34no—
1821C4×D4—34no—
1822C4×D4—34no—
1823C4×D4—34no—
1824C4×D4—32no—
1825C4×D4—34no—
1826C4×D4—32no—
1827C4×D4—32no—
1828C4×D4—32no—
1829C4×D4—32no—
1830C4×D4—32no—
1831C4×D4—32no—
1832C4×D4—32no—
1833C4×D4—32no—
1834C4×D4—32no—
1835C4×D4—32no—
1836C4×D4—32no—
1837C4×D4—32no—
1838C4×D4—32no—
1839C4×D4—32no—
1840C4×D4—32no—
1841C4×D4—32no—
1842C4×D4—32no—
1843C4×D4—32no—
1844C4×D4—32no—
1845C4×D4—32no—
1846C4×D4—34no—
1847C4×D4—34no—
1848C4×D4—34no—
1849C4×D4—34no—
1850C4×D4—34no—
1851C4×D4—34no—
1852C4×D4—34no—
1853C4×D4—31no—
1854C4×D4—31no—
1855C4×D4—34no—
1856C4×D4—32no—
1857C4×D4—32no—
1858C4×D4—32no—
1859C4×D4—32no—
1860C4×D4—32no—
1861C4×D4—32no—
1862C4×D4—32no—
1863C4×D4—34no—
1864C4×D4—34no—
1865C4×D4—34no—
1866C4×D4—34no—
1867C4×D4—34no—
1868C4×D4—34no—
1869C4×D4—34no—
1870C4×D4—34no—
1871C4×D4—32no—
1872C4×D4C22×D312yes—
1873C4×D4C22×D312yes—
1874C4×D4C22×D314yes—
1875C4×D4C22×D314yes—
1876C4×D4C22×D314yes—
1877C4×D4C22×D312yes—
1878#117—31no—
1879#117—32no—
1880#117—34no—
1881#117—34no—
1882#117—32no—
1883#117—32no—
1884#117—32no—
1885#117—34no—
1886#117—32no—
1887#117—32no—
1888#117—34no—
1889#117—34no—
1890#117—34no—
1891#117—34no—
1892#117—32no—
1893#117—32no—
1894#117—32no—
1895#117—32no—
1896#117—34no—
1897#117—34no—
1898#117—32no—
1899#117—34no—
1900#117—34no—
1901#117C22×D311yescharacteristic
1902#117C22×D312yes—
1903C2×C4⋊C4—32no—
1904C2×C4⋊C4—32no—
1905C2×C4⋊C4—31no—
1906C2×C4⋊C4—32no—
1907C2×C4⋊C4—32no—
1908C2×C4⋊C4—32no—
1909C2×C4⋊C4—32no—
1910C2×C4⋊C4—34no—
1911C2×C4⋊C4—32no—
1912C2×C4⋊C4—34no—
1913C2×C4⋊C4—32no—
1914C2×C4⋊C4—32no—
1915C2×C4⋊C4—34no—
1916C2×C4⋊C4C22×D311yescharacteristic
1917C2×C4⋊C4C22×D312yes—
1918C2×C22⋊C4—32no—
1919C2×C22⋊C4—32no—
1920C2×C22⋊C4—32no—
1921C2×C22⋊C4—32no—
1922C2×C22⋊C4—32no—
1923C2×C22⋊C4—32no—
1924C2×C22⋊C4—34no—
1925C2×C22⋊C4—34no—
1926C2×C22⋊C4—34no—
1927C2×C22⋊C4—34no—
1928C2×C22⋊C4—32no—
1929C2×C22⋊C4—32no—
1930C2×C22⋊C4—34no—
1931C2×C22⋊C4—34no—
1932C2×C22⋊C4—34no—
1933C2×C22⋊C4—34no—
1934C2×C22⋊C4—34no—
1935C2×C22⋊C4C22×D312yes—
1936C2×C22⋊C4C22×D314yes—
1937C2×C42—31no—
1938C2×C42—32no—
1939C2×C42—31no—
1940C2×C42—31no—
1941C2×C42—31no—
1942C2×C42—32no—
1943C2×C42—31no—
1944C2×C42—31no—
1945C2×C42—31no—
1946C2×C42—31no—
1947C2×C42—31no—
1948C2×C42—31no—
1949C2×C42—31no—
1950C2×C42—31no—
1951C2×C42—32no—
1952C23×C3—22no—
1953C23×C3—22no—
1954C23×C3—24no—
1955C23×C3—24no—
1956C23×C3—41no—
1957C23×C3—42no—
1958C23×C3—42no—
1959C23×C3—42no—
1960C23×C3—42no—
1961C23×C3—44no—
1962C23×C3—44no—
1963C23×C3—44no—
1964C23×C3C2512yes—
1965C23×C3C2514yes—
1966C23×C3C2512yes—
1967C23×C3C2512yes—
1968C23×C3C2511yescharacteristic
1969C23×C3C2511yescharacteristic
1970C23×C3C2511yescharacteristic
1971C22×D3—24no—
1972C22×D3—42no—
1973C22×D3—42no—
1974C22×D3—44no—
1975C22×D3—44no—
1976C22×D3—44no—
1977C22×D3C2512yes—
1978C22×D3C2512yes—
1979C22×D3C2512yes—
1980C3×Q8—22no—
1981C3×Q8—22no—
1982C3×Q8—22no—
1983C3×Q8—42no—
1984C3×D4—24no—
1985C3×D4—24no—
1986C3×D4—24no—
1987C3×D4—28no—
1988C3×D4—24no—
1989C3×D4—24no—
1990C3×D4—24no—
1991C3×D4—22no—
1992C3×D4—22no—
1993C3×D4—22no—
1994C3×D4—42no—
1995C3×D4—44no—
1996C3×D4—44no—
1997C3×D4—44no—
1998C3×D4—44no—
1999C3×D4—44no—
2000C3×D4—44no—
2001C3×D4—42no—
2002C3×D4—42no—
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—22no—
2010C2×C3×C4—22no—
2011C2×C3×C4—24no—
2012C2×C3×C4—42no—
2013C2×C3×C4—42no—
2014C2×C3×C4—42no—
2015C2×C3×C4—44no—
2016C2×C3×C4—42no—
2017C2×C3×C4—44no—
2018C2×C3×C4H(5,𝔽2)14yes—
2019C2×C3×C4C2511yescharacteristic
2020C2×C3×C4C2511yescharacteristic
2021C2×C3×C4C2514yes—
2022C2×C3×C4C2512yes—
2023C2×C3×C4C2512yes—
2024C2×C3×C4C2512yes—
2025C2×C3×C4C2512yes—
2026C2×C3×C4C2512yes—
2027C2×C3×C4C2511yescharacteristic
2028C2×C3×C4C2511yescharacteristic
2029#67—24no—
2030#67—24no—
2031#67—24no—
2032#67—24no—
2033#67—24no—
2034#67—24no—
2035#67—24no—
2036#67—42no—
2037#67—42no—
2038#67—44no—
2039#67—44no—
2040#67—44no—
2041#67—44no—
2042#67—44no—
2043#67—44no—
2044#67—42no—
2045#67—42no—
2046#67—44no—
2047#67—44no—
2048#67—42no—
2049#67—42no—
2050#67—42no—
2051#67—42no—
2052#67—42no—
2053#67—42no—
2054C2×Dic3—24no—
2055C2×Dic3—22no—
2056C2×Dic3—22no—
2057C2×Dic3—22no—
2058C2×Dic3—28no—
2059C2×Dic3—22no—
2060C2×Dic3—22no—
2061C2×Dic3—42no—
2062C2×Dic3—44no—
2063C2×Dic3—44no—
2064C2×Dic3—44no—
2065C2×Dic3—42no—
2066C2×Dic3—44no—
2067C2×Dic3—42no—
2068C2×Dic3—41no—
2069C2×Dic3—41no—
2070C2×Dic3—41no—
2071C2×Dic3—41no—
2072C2×Dic3—41no—
2073C2×Dic3—41no—
2074C2×Dic3—42no—
2075C2×Dic3—44no—
2076C2×Dic3—41no—
2077C2×Dic3C2511yescharacteristic
2078C2×Dic3C2511yescharacteristic
2079C2×Dic3C2511yescharacteristic
2080C2×Dic3C2511yescharacteristic
2081C2×Dic3C2511yescharacteristic
2082C2×Dic3C2511yescharacteristic
2083C2×Dic3C2512yes—
2084C2×Dic3C2511yescharacteristic
2085C2×Dic3C2512yes—
2086C2×Dic3C2512yes—
2087C2×Dic3C2512yes—
2088C2×Dic3C2514yes—
2089C2×Dic3C2514yes—
2090C2×Dic3C2512yes—
2091C2×Dic3C2511yescharacteristic
2092D12—22no—
2093D12—22no—
2094D12—22no—
2095D12—42no—
2096D12—44no—
2097C4×D3—24no—
2098C4×D3—24no—
2099C4×D3—24no—
2100C4×D3—42no—
2101C4×D3—42no—
2102C4×D3—44no—
2103C4×D3—44no—
2104C4×D3—44no—
2105C4×D3—42no—
2106C4×D3—42no—
2107C4×D3—44no—
2108Dic6—24no—
2109Dic6—24no—
2110Dic6—22no—
2111Dic6—22no—
2112Dic6—22no—
2113Dic6—24no—
2114Dic6—42no—
2115Dic6—44no—
2116Dic6—44no—
2117Dic6—42no—
2118C24—32no—
2119C24—34no—
2120C24C23×D311yescharacteristic
2121C24C23×D312yes—
2122C24C23×D312yes—
2123C24C23×D314yes—
2124#41—24no—
2125#41—24no—
2126#41—24no—
2127#41—44no—
2128#41—44no—
2129#41—42no—
2130#41—42no—
2131#41—44no—
2132#41—44no—
2133#41—64no—
2134#41—64no—
2135#41—64no—
2136#41—124no—
2137#41—124no—
2138#41—122no—
2139#41—122no—
2140#41—124no—
2141#41—124no—
2142#41—128no—
2143#41—128no—
2144#41—124no—
2145#41—124no—
2146#41—124no—
2147#41—124no—
2148#41—124no—
2149#41—128no—
2150#41—124no—
2151C2×Q8—32no—
2152C2×Q8—32no—
2153C2×Q8—31no—
2154C2×Q8—32no—
2155C2×Q8—31no—
2156C2×Q8—31no—
2157C2×Q8—32no—
2158C2×Q8—34no—
2159C2×Q8—34no—
2160C2×Q8—32no—
2161C2×Q8—42no—
2162C2×Q8—64no—
2163C2×Q8—122no—
2164C2×Q8—124no—
2165C2×Q8—124no—
2166C2×Q8—124no—
2167C2×Q8—124no—
2168C2×Q8C23×D311yescharacteristic
2169C2×Q8C23×D311yescharacteristic
2170C2×Q8C23×D311yescharacteristic
2171C2×Q8C23×D312yes—
2172C2×D4—24no—
2173C2×D4—32no—
2174C2×D4—32no—
2175C2×D4—32no—
2176C2×D4—32no—
2177C2×D4—32no—
2178C2×D4—32no—
2179C2×D4—32no—
2180C2×D4—32no—
2181C2×D4—34no—
2182C2×D4—32no—
2183C2×D4—34no—
2184C2×D4—34no—
2185C2×D4—32no—
2186C2×D4—34no—
2187C2×D4—32no—
2188C2×D4—32no—
2189C2×D4—32no—
2190C2×D4—32no—
2191C2×D4—32no—
2192C2×D4—34no—
2193C2×D4—34no—
2194C2×D4—32no—
2195C2×D4—34no—
2196C2×D4—34no—
2197C2×D4—32no—
2198C2×D4—31no—
2199C2×D4—31no—
2200C2×D4—31no—
2201C2×D4—34no—
2202C2×D4—32no—
2203C2×D4—42no—
2204C2×D4—44no—
2205C2×D4—44no—
2206C2×D4—44no—
2207C2×D4—48no—
2208C2×D4—44no—
2209C2×D4—48no—
2210C2×D4—122no—
2211C2×D4—124no—
2212C2×D4—124no—
2213C2×D4—124no—
2214C2×D4—128no—
2215C2×D4—124no—
2216C2×D4—128no—
2217C2×D4—124no—
2218C2×D4—128no—
2219C2×D4C23×D312yes—
2220C2×D4C23×D314yes—
2221C2×D4C23×D312yes—
2222C2×D4C23×D312yes—
2223C2×D4C23×D312yes—
2224C2×D4C23×D311yescharacteristic
2225C2×D4C23×D312yes—
2226C2×D4C23×D311yescharacteristic
2227C2×D4C23×D312yes—
2228C2×D4C23×D311yescharacteristic
2229C2×D4C23×D314yes—
2230C2×D4C23×D314yes—
2231C2×D4C23×D314yes—
2232C2×D4C23×D314yes—
2233C2×D4C23×D312yes—
2234C2×D4C23×D314yes—
2235C2×D4C23×D314yes—
2236C2×D4C23×D312yes—
2237C2×D4C23×D312yes—
2238C2×D4C23×D312yes—
2239C22×C4—24no—
2240C22×C4—31no—
2241C22×C4—31no—
2242C22×C4—31no—
2243C22×C4—31no—
2244C22×C4—31no—
2245C22×C4—32no—
2246C22×C4—34no—
2247C22×C4—31no—
2248C22×C4—31no—
2249C22×C4—31no—
2250C22×C4—31no—
2251C22×C4—31no—
2252C22×C4—31no—
2253C22×C4—31no—
2254C22×C4—32no—
2255C22×C4—32no—
2256C22×C4—32no—
2257C22×C4—32no—
2258C22×C4—34no—
2259C22×C4—34no—
2260C22×C4—34no—
2261C22×C4—34no—
2262C22×C4—34no—
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—34no—
2273C22×C4—32no—
2274C22×C4—44no—
2275C22×C4—124no—
2276C22×C4—122no—
2277C22×C4—124no—
2278C22×C4—122no—
2279C22×C4C23×D311yescharacteristic
2280C22×C4C23×D311yescharacteristic
2281C22×C4C23×D311yescharacteristic
2282C22×C4C23×D311yescharacteristic
2283C22×C4C23×D311yescharacteristic
2284C22×C4C23×D312yes—
2285C22×C4C23×D312yes—
2286C22×C4C23×D312yes—
2287C22×C4C23×D312yes—
2288C22×C4C23×D312yes—
2289C22×C4C23×D314yes—
2290C22×C4C23×D312yes—
2291C22×C4C23×D314yes—
2292C22×C4C23×D312yes—
2293C22×C4C23×D311yescharacteristic
2294C4⋊C4—32no—
2295C4⋊C4—34no—
2296C4⋊C4—32no—
2297C4⋊C4—31no—
2298C4⋊C4—31no—
2299C4⋊C4—32no—
2300C4⋊C4—32no—
2301C4⋊C4—34no—
2302C4⋊C4—34no—
2303C4⋊C4—34no—
2304C4⋊C4—32no—
2305C4⋊C4—34no—
2306C4⋊C4—34no—
2307C4⋊C4—34no—
2308C4⋊C4—32no—
2309C4⋊C4—32no—
2310C4⋊C4—32no—
2311C4⋊C4—32no—
2312C4⋊C4—32no—
2313C4⋊C4—32no—
2314C4⋊C4—32no—
2315C4⋊C4—34no—
2316C4⋊C4—34no—
2317C4⋊C4—34no—
2318C4⋊C4—34no—
2319C4⋊C4—34no—
2320C4⋊C4—34no—
2321C4⋊C4—34no—
2322C4⋊C4—34no—
2323C4⋊C4—32no—
2324C4⋊C4—32no—
2325C4⋊C4—32no—
2326C4⋊C4—34no—
2327C4⋊C4—34no—
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—32no—
2337C4⋊C4—32no—
2338C4⋊C4C23×D312yes—
2339C4⋊C4C23×D311yescharacteristic
2340C4⋊C4C23×D312yes—
2341C4⋊C4C23×D311yescharacteristic
2342C4⋊C4C23×D312yes—
2343C4⋊C4C23×D314yes—
2344C4⋊C4C23×D314yes—
2345C4⋊C4C23×D312yes—
2346C22⋊C4—32no—
2347C22⋊C4—32no—
2348C22⋊C4—34no—
2349C22⋊C4—34no—
2350C22⋊C4—32no—
2351C22⋊C4—34no—
2352C22⋊C4—32no—
2353C22⋊C4—32no—
2354C22⋊C4—34no—
2355C22⋊C4—34no—
2356C22⋊C4—34no—
2357C22⋊C4—32no—
2358C22⋊C4—34no—
2359C22⋊C4—32no—
2360C22⋊C4—32no—
2361C22⋊C4—32no—
2362C22⋊C4—34no—
2363C22⋊C4—34no—
2364C22⋊C4—34no—
2365C22⋊C4—34no—
2366C22⋊C4—34no—
2367C22⋊C4—34no—
2368C22⋊C4—34no—
2369C22⋊C4—32no—
2370C22⋊C4—32no—
2371C22⋊C4—32no—
2372C22⋊C4—32no—
2373C22⋊C4—32no—
2374C22⋊C4—32no—
2375C22⋊C4—34no—
2376C22⋊C4—32no—
2377C22⋊C4—32no—
2378C22⋊C4—32no—
2379C22⋊C4—32no—
2380C22⋊C4—32no—
2381C22⋊C4—34no—
2382C22⋊C4—34no—
2383C22⋊C4—32no—
2384C22⋊C4—32no—
2385C22⋊C4—32no—
2386C22⋊C4—32no—
2387C22⋊C4—34no—
2388C22⋊C4—34no—
2389C22⋊C4—34no—
2390C22⋊C4—32no—
2391C22⋊C4—34no—
2392C22⋊C4—32no—
2393C22⋊C4—32no—
2394C22⋊C4—32no—
2395C22⋊C4—32no—
2396C22⋊C4—34no—
2397C22⋊C4—34no—
2398C22⋊C4C23×D312yes—
2399C22⋊C4C23×D314yes—
2400C22⋊C4C23×D314yes—
2401C22⋊C4C23×D314yes—
2402C22⋊C4C23×D312yes—
2403C22⋊C4C23×D314yes—
2404C22⋊C4C23×D314yes—
2405C22⋊C4C23×D312yes—
2406C22⋊C4C23×D314yes—
2407C22⋊C4C23×D312yes—
2408C22⋊C4C23×D312yes—
2409C22⋊C4C23×D314yes—
2410C42—31no—
2411C42—31no—
2412C42—31no—
2413C42—31no—
2414C42—31no—
2415C42—31no—
2416C42—31no—
2417C42—31no—
2418C42—31no—
2419C42—31no—
2420C42—31no—
2421C42—31no—
2422C42—31no—
2423C42—31no—
2424C42—31no—
2425C42—31no—
2426C42—32no—
2427C42—32no—
2428C42—34no—
2429C42—32no—
2430C42—32no—
2431C42—34no—
2432C42—32no—
2433C42—34no—
2434C42—34no—
2435C42—34no—
2436C42C23×D312yes—
2437C42C23×D314yes—
2438C22×C3—21no—
2439C22×C3—21no—
2440C22×C3—21no—
2441C22×C3—21no—
2442C22×C3—22no—
2443C22×C3—22no—
2444C22×C3—24no—
2445C22×C3—21no—
2446C22×C3—22no—
2447C22×C3—21no—
2448C22×C3—24no—
2449C22×C3—22no—
2450C22×C3—21no—
2451C22×C3—22no—
2452C22×C3—22no—
2453C22×C3—22no—
2454C22×C3—22no—
2455C22×C3—22no—
2456C22×C3—24no—
2457C22×C3—44no—
2458C22×C3—84no—
2459C22×C3—84no—
2460C22×C3—164no—
2461C22×C3C2×H(5,𝔽2)12yes—
2462C22×C3#58512yes—
2463C22×C3C2611yescharacteristic
2464C2×D3—22no—
2465C2×D3—22no—
2466C2×D3—22no—
2467C2×D3—22no—
2468C2×D3—22no—
2469C2×D3—22no—
2470C2×D3—22no—
2471C2×D3—22no—
2472C2×D3—22no—
2473C2×D3—84no—
2474C2×D3—164no—
2475C3×C4—22no—
2476C3×C4—22no—
2477C3×C4—21no—
2478C3×C4—21no—
2479C3×C4—22no—
2480C3×C4—22no—
2481C3×C4—22no—
2482C3×C4—24no—
2483C3×C4C2×H(5,𝔽2)12yes—
2484C3×C4C2×H(5,𝔽2)12yes—
2485Dic3—24no—
2486Dic3—22no—
2487Dic3—22no—
2488Dic3—22no—
2489Dic3—22no—
2490Dic3—21no—
2491Dic3—22no—
2492Dic3—21no—
2493Dic3—21no—
2494Dic3—24no—
2495Dic3—21no—
2496Dic3—21no—
2497Dic3—21no—
2498Dic3—21no—
2499Dic3#58512yes—
2500C23—22no—
2501C23—22no—
2502C23—24no—
2503C23—24no—
2504C23—32no—
2505C23—32no—
2506C23—32no—
2507C23—41no—
2508C23—42no—
2509C23—42no—
2510C23—42no—
2511C23—42no—
2512C23—44no—
2513C23—44no—
2514C23—44no—
2515C23—64no—
2516C23—122no—
2517C23—122no—
2518C23—124no—
2519C23—124no—
2520C23—124no—
2521C23C24×D312yes—
2522C23C24×D314yes—
2523C23C24×D312yes—
2524C23C24×D311yescharacteristic
2525C23C24×D312yes—
2526C23C24×D311yescharacteristic
2527C23C24×D311yescharacteristic
2528Q8—22no—
2529Q8—22no—
2530Q8—22no—
2531Q8—42no—
2532Q8—64no—
2533Q8—64no—
2534Q8—64no—
2535Q8—62no—
2536Q8—62no—
2537Q8—62no—
2538Q8—124no—
2539Q8—124no—
2540Q8—122no—
2541Q8—122no—
2542D4—24no—
2543D4—24no—
2544D4—24no—
2545D4—28no—
2546D4—24no—
2547D4—24no—
2548D4—24no—
2549D4—22no—
2550D4—22no—
2551D4—22no—
2552D4—44no—
2553D4—44no—
2554D4—42no—
2555D4—42no—
2556D4—42no—
2557D4—44no—
2558D4—44no—
2559D4—44no—
2560D4—42no—
2561D4—44no—
2562D4—64no—
2563D4—64no—
2564D4—64no—
2565D4—64no—
2566D4—64no—
2567D4—64no—
2568D4—64no—
2569D4—62no—
2570D4—62no—
2571D4—62no—
2572D4—122no—
2573D4—124no—
2574D4—124no—
2575D4—124no—
2576D4—122no—
2577D4—122no—
2578D4—122no—
2579D4—122no—
2580D4—122no—
2581D4—122no—
2582D4—124no—
2583D4—124no—
2584D4—124no—
2585D4—122no—
2586D4—122no—
2587D4—124no—
2588D4—124no—
2589D4—122no—
2590D4—122no—
2591D4—124no—
2592C2×C4—22no—
2593C2×C4—22no—
2594C2×C4—22no—
2595C2×C4—22no—
2596C2×C4—22no—
2597C2×C4—24no—
2598C2×C4—24no—
2599C2×C4—24no—
2600C2×C4—31no—
2601C2×C4—31no—
2602C2×C4—31no—
2603C2×C4—31no—
2604C2×C4—31no—
2605C2×C4—32no—
2606C2×C4—32no—
2607C2×C4—31no—
2608C2×C4—31no—
2609C2×C4—31no—
2610C2×C4—34no—
2611C2×C4—32no—
2612C2×C4—34no—
2613C2×C4—32no—
2614C2×C4—32no—
2615C2×C4—42no—
2616C2×C4—42no—
2617C2×C4—42no—
2618C2×C4—44no—
2619C2×C4—42no—
2620C2×C4—44no—
2621C2×C4—62no—
2622C2×C4—62no—
2623C2×C4—68no—
2624C2×C4—62no—
2625C2×C4—64no—
2626C2×C4—62no—
2627C2×C4—62no—
2628C2×C4—64no—
2629C2×C4—64no—
2630C2×C4—64no—
2631C2×C4—122no—
2632C2×C4—122no—
2633C2×C4—124no—
2634C2×C4—124no—
2635C2×C4—124no—
2636C2×C4—122no—
2637C2×C4—122no—
2638C2×C4—124no—
2639C2×C4—122no—
2640C2×C4—121no—
2641C2×C4—121no—
2642C2×C4—121no—
2643C2×C4—121no—
2644C2×C4—121no—
2645C2×C4—124no—
2646C2×C4—121no—
2647C2×C4—121no—
2648C2×C4—122no—
2649C2×C4—124no—
2650C2×C4—124no—
2651C2×C4—124no—
2652C2×C4—122no—
2653C2×C4—122no—
2654C2×C4—124no—
2655C2×C4#100414yes—
2656C2×C4C24×D311yescharacteristic
2657C2×C4C24×D311yescharacteristic
2658C2×C4C24×D312yes—
2659C2×C4C24×D314yes—
2660C2×C4C24×D312yes—
2661C2×C4C24×D312yes—
2662C2×C4C24×D312yes—
2663C2×C4C24×D312yes—
2664C2×C4C24×D311yescharacteristic
2665C2×C4C24×D311yescharacteristic
2666C2×C3—22no—
2667C2×C3—22no—
2668C2×C3—44no—
2669C2×C3—41no—
2670C2×C3—42no—
2671C2×C3—42no—
2672C2×C3—42no—
2673C2×C3C22×H(5,𝔽2)11yescharacteristic
2674C2×C3C2×#58511yescharacteristic
2675C2×C3C2×#58511yescharacteristic
2676D3—42no—
2677D3—42no—
2678D3—42no—
2679C22—21no—
2680C22—21no—
2681C22—21no—
2682C22—21no—
2683C22—21no—
2684C22—22no—
2685C22—22no—
2686C22—22no—
2687C22—24no—
2688C22—22no—
2689C22—21no—
2690C22—22no—
2691C22—24no—
2692C22—22no—
2693C22—21no—
2694C22—24no—
2695C22—22no—
2696C22—22no—
2697C22—22no—
2698C22—44no—
2699C22—62no—
2700C22—62no—
2701C22—62no—
2702C22—62no—
2703C22—62no—
2704C22—62no—
2705C22—62no—
2706C22—62no—
2707C22—62no—
2708C22—84no—
2709C22—84no—
2710C22—164no—
2711C22—244no—
2712C22—484no—
2713C22C2×#100412yes—
2714C22#596612yes—
2715C22C25×D311yescharacteristic
2716C4—21no—
2717C4—21no—
2718C4—22no—
2719C4—22no—
2720C4—22no—
2721C4—24no—
2722C4—22no—
2723C4—22no—
2724C4—32no—
2725C4—62no—
2726C4—62no—
2727C4—62no—
2728C4—64no—
2729C4—61no—
2730C4—61no—
2731C4—61no—
2732C4—61no—
2733C4—62no—
2734C4—61no—
2735C4—61no—
2736C4—64no—
2737C4—61no—
2738C4—62no—
2739C4C2×#100412yes—
2740C4C2×#100412yes—
2741C3#6283011yescharacteristic, complemented, Sylow
2742C2—22no—
2743C2—22no—
2744C2—41no—
2745C2—42no—
2746C2—44no—
2747C2—42no—
2748C2—42no—
2749C2—122no—
2750C2—122no—
2751C2—122no—
2752C2C22×#100411yescharacteristic
2753C2C2×#596611yescharacteristic
2754C2D3×#58511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3488C2
hypercenter#3488D3
hypocenterC3#62830
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3488

Complements

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

NH ≅ G/Ntype
1. C3×#3488C2semidirect
2. #87283C2semidirect
3. #87281C2semidirect
4. #87264C2semidirect
5. C2×#5832C2semidirect
6. #86781C2semidirect
7. #86774C2semidirect
8. #86728C2semidirect
9. #86717C2semidirect
10. #86659C2semidirect
11. #86656C2semidirect
12. #86638C2semidirect
13. #86631C2semidirect
14. #86616C2semidirect
15. #86613C2semidirect
16. #86611C2semidirect
17. #86610C2semidirect
18. #86375C2semidirect
19. #86373C2semidirect
20. #86369C2semidirect
21. #86367C2semidirect
22. #86327C2semidirect
23. #86324C2semidirect
24. #86318C2semidirect
25. #86317C2semidirect
26. #86047C2semidirect
27. #86044C2semidirect
28. #86042C2semidirect
29. #86018C2semidirect
30. #85951C2semidirect
31. #85949C2semidirect
32. #85937C2semidirect
33. C2×#5600C2semidirect
34. #85894C2semidirect
35. #85892C2semidirect
37. C2×C3×H(5,𝔽2)C22semidirect
38. C22×C3×#41C22semidirect
39. C2×#1010C22semidirect
40. C2×#1010C22semidirect
41. C2×#1004C22semidirect
42. C22×#235C22semidirect
43. C3×#550C22semidirect
44. C3×#548C22semidirect
45. C3×#546C22semidirect
46. C3×#546C22semidirect
47. C3×D42C22semidirect
48. C3×D42C22semidirect
49. C3×#537C22semidirect
50. C3×#537C22semidirect
51. C3×#535C22semidirect
52. C3×#535C22semidirect
53. C3×#525C22semidirect
54. C3×#525C22semidirect
56. C2×C3×#121C22semidirect
57. C3×#520C22semidirect
58. #5833C22semidirect
59. #5833C22semidirect
60. #5833C22semidirect
62. #5832C22semidirect
63. #5832C22semidirect
64. #5832C22semidirect
65. #5832C22semidirect
66. #5832C22semidirect
67. #5832C22semidirect
68. #5832C22semidirect
69. #5832C22semidirect
70. #5832C22semidirect
71. #5832C22semidirect
72. #5832C22semidirect
73. #5832C22semidirect
74. #5832C22semidirect
75. #5831C22semidirect
76. #5831C22semidirect
77. #5831C22semidirect
78. #5829C22semidirect
79. #5829C22semidirect
80. #5827C22semidirect
81. Dic3×#41C22semidirect
82. #5825C22semidirect
83. #5825C22semidirect
84. #5825C22semidirect
85. #5824C22semidirect
86. #5824C22semidirect
87. #5824C22semidirect
88. #5824C22semidirect
89. Q8×#67C22semidirect
90. C2×#947C22semidirect
91. C2×#944C22semidirect
92. #5806C22semidirect
93. #5806C22semidirect
94. #5806C22semidirect
95. #5806C22semidirect
96. #5806C22semidirect
97. #5806C22semidirect
98. #5806C22semidirect
99. #5806C22semidirect
100. #5806C22semidirect
101. #5805C22semidirect
102. #5805C22semidirect
103. #5804C22semidirect
104. #5804C22semidirect
105. C2×#940C22semidirect
106. C2×#939C22semidirect
107. C2×#939C22semidirect
108. C2×#939C22semidirect
109. D4×#67C22semidirect
110. D4×#67C22semidirect
111. D4×#67C22semidirect
112. D4×#67C22semidirect
113. #5798C22semidirect
114. C2×#936C22semidirect
115. C2×#936C22semidirect
116. C2×#936C22semidirect
117. C2×#935C22semidirect
118. C2×D4×Dic3C22semidirect
119. C2×D4×Dic3C22semidirect
120. #5791C22semidirect
121. #5791C22semidirect
122. C2×C4×#67C22semidirect
123. C2×C4×#67C22semidirect
124. C2×#924C22semidirect
125. C2×#924C22semidirect
126. C22×C4×Dic3C22semidirect
127. #5720C22semidirect
128. #5719C22semidirect
129. #5719C22semidirect
130. #5718C22semidirect
131. #5718C22semidirect
132. #5716C22semidirect
133. #5715C22semidirect
134. #5713C22semidirect
135. #5681C22semidirect
136. #5678C22semidirect
137. #5675C22semidirect
138. D3×#124C22semidirect
139. #5672C22semidirect
140. #5671C22semidirect
141. #5670C22semidirect
142. #5669C22semidirect
143. #5662C22semidirect
144. #5661C22semidirect
145. #5660C22semidirect
146. #5659C22semidirect
147. #5655C22semidirect
148. #5649C22semidirect
149. #5649C22semidirect
150. #5646C22semidirect
151. #5642C22semidirect
152. #5640C22semidirect
153. #5639C22semidirect
154. #5637C22semidirect
155. #5633C22semidirect
156. #5633C22semidirect
157. #5632C22semidirect
158. #5632C22semidirect
159. #5628C22semidirect
160. D3×C22⋊Q8C22semidirect
161. #5625C22semidirect
162. #5624C22semidirect
163. #5624C22semidirect
164. #5624C22semidirect
165. #5623C22semidirect
166. #5622C22semidirect
167. #5622C22semidirect
168. #5621C22semidirect
169. #5621C22semidirect
170. #5620C22semidirect
171. #5619C22semidirect
172. #5619C22semidirect
173. #5618C22semidirect
174. #5618C22semidirect
175. #5618C22semidirect
176. #5617C22semidirect
177. #5617C22semidirect
178. #5616C22semidirect
179. #5616C22semidirect
180. #5616C22semidirect
181. #5615C22semidirect
182. #5615C22semidirect
183. #5615C22semidirect
184. #5614C22semidirect
185. #5614C22semidirect
186. #5613C22semidirect
187. #5613C22semidirect
188. #5612C22semidirect
189. #5612C22semidirect
190. #5612C22semidirect
191. #5611C22semidirect
192. #5610C22semidirect
193. #5609C22semidirect
194. #5608C22semidirect
195. #5608C22semidirect
196. #5607C22semidirect
197. #5606C22semidirect
198. #5606C22semidirect
199. D3×#121C22semidirect
200. #5603C22semidirect
201. #5602C22semidirect
202. #5601C22semidirect
203. #5601C22semidirect
204. #5601C22semidirect
205. #5601C22semidirect
206. #5601C22semidirect
207. #5600C22semidirect
208. #5600C22semidirect
209. #5600C22semidirect
210. #5600C22semidirect
211. #5600C22semidirect
212. #5600C22semidirect
213. #5600C22semidirect
214. #5600C22semidirect
215. #5600C22semidirect
216. #5600C22semidirect
217. #5600C22semidirect
218. #5599C22semidirect
219. #5599C22semidirect
220. #5599C22semidirect
221. #5598C22semidirect
222. #5598C22semidirect
223. #5598C22semidirect
224. #5598C22semidirect
225. #5598C22semidirect
226. #5597C22semidirect
227. #5596C22semidirect
228. #5596C22semidirect
229. #5596C22semidirect
230. #5595C22semidirect
231. #5595C22semidirect
232. #5593C22semidirect
233. #5593C22semidirect
234. #5593C22semidirect
235. #5593C22semidirect
236. #5593C22semidirect
237. #5592C22semidirect
238. #5591C22semidirect
239. #5591C22semidirect
240. #5591C22semidirect
241. #5591C22semidirect
242. #5591C22semidirect
243. #5589C22semidirect
244. #5587C22semidirect
245. #5587C22semidirect
246. #5586C22semidirect
247. #5586C22semidirect
248. #5586C22semidirect
249. #5583C22semidirect
250. #5580C22semidirect
251. #5568C22semidirect
252. #5567C22semidirect
253. #5565C22semidirect
254. #5564C22semidirect
255. #5564C22semidirect
256. #5564C22semidirect
257. #5562C22semidirect
258. #5559C22semidirect
259. #5558C22semidirect
260. #5557C22semidirect
261. #5556C22semidirect
262. #5556C22semidirect
263. #5552C22semidirect
264. #5551C22semidirect
265. #5550C22semidirect
266. #5546C22semidirect
267. #5545C22semidirect
268. #5542C22semidirect
269. #5540C22semidirect
270. #5539C22semidirect
271. #5538C22semidirect
272. #5538C22semidirect
273. #5538C22semidirect
274. D4×Dic6C22semidirect
275. C4×#237C22semidirect
276. C4×#237C22semidirect
277. #5533C22semidirect
278. #5530C22semidirect
279. #5529C22semidirect
280. #5529C22semidirect
281. #5526C22semidirect
282. #5523C22semidirect
283. #5522C22semidirect
284. #5517C22semidirect
285. #5514C22semidirect
286. #5513C22semidirect
287. #5513C22semidirect
288. #5511C22semidirect
289. #5510C22semidirect
290. #5504C22semidirect
291. C2×#890C22semidirect
292. C2×#887C22semidirect
293. #5495C22semidirect
294. #5495C22semidirect
295. #5494C22semidirect
296. #5490C22semidirect
297. #5486C22semidirect
298. C2×#879C22semidirect
299. C2×#877C22semidirect
331. #3488D3semidirect
855. C2×H(5,𝔽2)C2×D3semidirect
857. C22×#41C2×D3semidirect
915. #550C2×D3semidirect
931. #548C2×D3semidirect
961. #546C2×D3semidirect
962. #546C2×D3semidirect
968. D42C2×D3semidirect
969. D42C2×D3semidirect
1008. #537C2×D3semidirect
1009. #537C2×D3semidirect
1021. #535C2×D3semidirect
1022. #535C2×D3semidirect
1084. #525C2×D3semidirect
1085. #525C2×D3semidirect
1095. C2×#121C2×D3semidirect
1100. #520C2×D3semidirect
2741. C3#62830semidirect

Maximal subgroups

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

subgroupindex
C3×#34882
#872832
#872812
#872642
C2×#58322
#867812
#867742
#867282
#867172
#866592
#866562
#866382
#866312
#866162
#866132
#866112
#866102
#863752
#863732
#863692
#863672
#863272
#863242
#863182
#863172
#860472
#860442
#860422
#860182
#859512
#859492
#859372
C2×#56002
#858942
#858922
#628303