Finite Group Databasebeta

← #11708906

Subgroups — #11708906

Order 768.

7352 conjugacy classes of subgroups.

The subgroup lattice has 2450 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3551C211yesmaximal, characteristic, complemented
2#87120C212yesmaximal, complemented
3#87115C212yesmaximal, complemented
4#87083C214yesmaximal, complemented
5#86969C212yesmaximal, complemented
6#86968C212yesmaximal, complemented
7#86916C212yesmaximal, complemented
8#86886C212yesmaximal, complemented
9#86846C212yesmaximal, complemented
10#86843C212yesmaximal, complemented
11#86805C214yesmaximal, complemented
12#86736C212yesmaximal, complemented
13#86730C212yesmaximal, complemented
14#86651C212yesmaximal, complemented
15#86629C212yesmaximal, complemented
16#86493C214yesmaximal, complemented
17#86474C214yesmaximal, complemented
18#86424C214yesmaximal, complemented
19#86396C214yesmaximal, complemented
20#86386C212yesmaximal, complemented
21#86379C212yesmaximal, complemented
22#86350C211yesmaximal, characteristic, complemented
23#86341C211yesmaximal, characteristic, complemented
24#86326C211yesmaximal, characteristic, complemented
25#86316C211yesmaximal, characteristic, complemented
26#86248C211yesmaximal, characteristic, complemented
27#86242C211yesmaximal, characteristic, complemented
28#86172C212yesmaximal, complemented
29#86131C212yesmaximal, complemented
30#63066—31nomaximal, Sylow
31C2×#1009C2211yescharacteristic, complemented
32C2×#1009C2211yescharacteristic, complemented
33C2×D3×#41C2212yescomplemented
34C2×#1007C2211yescharacteristic, complemented
35C2×#1004C2211yescharacteristic, complemented
36C3×#563C2212yescomplemented
37C3×#560C2212yescomplemented
38C3×#555C2212yescomplemented
39C3×#553C2212yescomplemented
40C3×#552C2212yescomplemented
41C3×#551C2212yescomplemented
42C3×#548C2212yescomplemented
43C3×#546C2212yescomplemented
44C3×#540C2214yescomplemented
45C3×#538C2214yescomplemented
46C3×#537C2212yescomplemented
47C3×#536C2211yescharacteristic, complemented
48C3×#535C2211yescharacteristic, complemented
49C3×#532C2211yescharacteristic, complemented
50C3×#529C2212yescomplemented
51#5834C2212yescomplemented
52#5832C2211yescharacteristic, complemented
53#5832C2211yescharacteristic, complemented
54#5830C2211yescharacteristic, complemented
55#5830C2212yescomplemented
56#5830C2211yescharacteristic, complemented
57#5829C2212yescomplemented
58#5828C2212yescomplemented
59#5817C2212yescomplemented
60C2×#947C2211yescharacteristic, complemented
61C2×#940C2211yescharacteristic, complemented
62D4×#67C2212yescomplemented
63#5735C2211yescharacteristic, complemented
64#5735C2212yescomplemented
65#5735C2211yescharacteristic, complemented
66#5734C2212yescomplemented
67#5725C2212yescomplemented
68#5725C2212yescomplemented
69#5724C2212yescomplemented
70#5720C2212yescomplemented
71#5715C2212yescomplemented
72#5715C2214yescomplemented
73D3×#127C2212yescomplemented
74D3×#127C2212yescomplemented
75#5711C2214yescomplemented
76#5711C2214yescomplemented
77#5711C2214yescomplemented
78#5711C2214yescomplemented
79#5710C2214yescomplemented
80#5709C2214yescomplemented
81#5709C2214yescomplemented
82#5706C2214yescomplemented
83#5706C2214yescomplemented
84#5706C2214yescomplemented
85#5704C2214yescomplemented
86#5704C2214yescomplemented
87#5700C2214yescomplemented
88#5697C2212yescomplemented
89#5697C2214yescomplemented
90#5697C2212yescomplemented
91#5695C2212yescomplemented
92#5693C2214yescomplemented
93#5691C2214yescomplemented
94#5685C2212yescomplemented
95#5684C2212yescomplemented
96#5683C2212yescomplemented
97#5683C2214yescomplemented
98#5683C2211yescharacteristic, complemented
99#5681C2212yescomplemented
100#5678C2214yescomplemented
101#5678C2214yescomplemented
102#5677C2212yescomplemented
103#5677C2214yescomplemented
104#5674C2212yescomplemented
105#5674C2212yescomplemented
106#5674C2212yescomplemented
107#5674C2212yescomplemented
108#5674C2212yescomplemented
109#5674C2214yescomplemented
110#5674C2212yescomplemented
111D3×#124C2212yescomplemented
112#5672C2211yescharacteristic, complemented
113#5670C2212yescomplemented
114#5668C2212yescomplemented
115#5666C2214yescomplemented
116#5666C2214yescomplemented
117#5666C2212yescomplemented
118#5664C2214yescomplemented
119#5663C2214yescomplemented
120#5663C2214yescomplemented
121#5663C2214yescomplemented
122#5663C2214yescomplemented
123#5663C2214yescomplemented
124#5662C2214yescomplemented
125#5659C2212yescomplemented
126#5656C2214yescomplemented
127#5655C2214yescomplemented
128#5654C2214yescomplemented
129#5654C2214yescomplemented
130#5654C2214yescomplemented
131#5654C2214yescomplemented
132#5653C2214yescomplemented
133#5653C2214yescomplemented
134#5653C2214yescomplemented
135#5653C2214yescomplemented
136#5647C2214yescomplemented
137#5647C2214yescomplemented
138#5644C2214yescomplemented
139#5643C2212yescomplemented
140#5639C2212yescomplemented
141#5637C2214yescomplemented
142#5633C2212yescomplemented
143#5633C2212yescomplemented
144#5633C2212yescomplemented
145#5633C2214yescomplemented
146#5630C2212yescomplemented
147#5630C2212yescomplemented
148#5630C2212yescomplemented
149#5630C2212yescomplemented
150#5629C2214yescomplemented
151#5629C2212yescomplemented
152#5627C2214yescomplemented
153#5627C2212yescomplemented
154#5627C2214yescomplemented
155#5624C2212yescomplemented
156#5621C2212yescomplemented
157#5621C2212yescomplemented
158#5620C2214yescomplemented
159#5620C2214yescomplemented
160#5620C2212yescomplemented
161#5620C2212yescomplemented
162#5619C2212yescomplemented
163#5616C2212yescomplemented
164#5615C2214yescomplemented
165#5615C2214yescomplemented
166#5613C2214yescomplemented
167#5612C2214yescomplemented
168#5610C2214yescomplemented
169#5610C2214yescomplemented
170#5610C2214yescomplemented
171#5609C2214yescomplemented
172#5609C2214yescomplemented
173#5609C2212yescomplemented
174#5609C2212yescomplemented
175#5609C2212yescomplemented
176#5609C2214yescomplemented
177#5609C2212yescomplemented
178#5609C2214yescomplemented
179#5609C2214yescomplemented
180#5609C2214yescomplemented
181#5607C2214yescomplemented
182#5607C2214yescomplemented
183#5607C2212yescomplemented
184#5607C2214yescomplemented
185#5607C2214yescomplemented
186#5605C2214yescomplemented
187#5605C2214yescomplemented
188#5605C2214yescomplemented
189D3×#121C2212yescomplemented
190D3×#121C2214yescomplemented
191#5599C2214yescomplemented
192#5599C2214yescomplemented
193#5599C2212yescomplemented
194#5599C2212yescomplemented
195#5599C2212yescomplemented
196#5597C2214yescomplemented
197#5596C2212yescomplemented
198#5594C2212yescomplemented
199#5592C2214yescomplemented
200#5592C2214yescomplemented
201#5590C2214yescomplemented
202#5590C2214yescomplemented
203#5590C2214yescomplemented
204#5590C2214yescomplemented
205#5590C2212yescomplemented
206#5589C2214yescomplemented
207#5585C2212yescomplemented
208#5582C2212yescomplemented
209#5577C2212yescomplemented
210#5572C2212yescomplemented
211#5562C2212yescomplemented
212#5560C2214yescomplemented
213#5560C2214yescomplemented
214#5559C2214yescomplemented
215#5554C2214yescomplemented
216#5553C2214yescomplemented
217#5553C2212yescomplemented
218#5553C2212yescomplemented
219#5553C2212yescomplemented
220#5550C2214yescomplemented
221D4×D12C2212yescomplemented
222D4×D12C2212yescomplemented
223D4×D12C2214yescomplemented
224D4×D12C2214yescomplemented
225D4×D12C2212yescomplemented
226#5548C2214yescomplemented
227#5547C2214yescomplemented
228#5547C2212yescomplemented
229#5547C2212yescomplemented
230#5546C2212yescomplemented
231#5540C2214yescomplemented
232#5540C2214yescomplemented
233#5538C2212yescomplemented
234#5538C2212yescomplemented
235#5535C2214yescomplemented
236#5532C2214yescomplemented
237#5532C2212yescomplemented
238#5532C2214yescomplemented
239#5531C2214yescomplemented
240#5530C2212yescomplemented
241#5528C2214yescomplemented
242#5527C2214yescomplemented
243#5525C2214yescomplemented
244#5525C2211yescharacteristic, complemented
245#5525C2214yescomplemented
246#5525C2211yescharacteristic, complemented
247#5522C2211yescharacteristic, complemented
248#5522C2211yescharacteristic, complemented
249#5514C2212yescomplemented
250#5507C2212yescomplemented
251C2×#895C2212yescomplemented
252#5504C2212yescomplemented
253#5493C2214yescomplemented
254#5490C2214yescomplemented
255#5490C2214yescomplemented
256C2×#884C2214yescomplemented
257#5479C2212yescomplemented
258C2×#874C2211yescharacteristic, complemented
259C4×#235C2211yescharacteristic, complemented
260#3558—32no—
261#3558—34no—
262#3551—32no—
263#3551—32no—
264#3551—31no—
265#3551D311yescharacteristic, complemented
266#3549—32no—
267#3549—31no—
268#3543—34no—
269#3543—32no—
270#3543—34no—
271#3543—32no—
272#3542—32no—
273#3542—34no—
274#3542—34no—
275#3542—32no—
276#3537—32no—
277#3537—34no—
278#3529—32no—
279#3529—31no—
280#3524—32no—
281#3524—32no—
282#3517—32no—
283#3500—31no—
284#3498—31no—
285#3498—31no—
286#3488—32no—
287#3488—32no—
288#3487—32no—
289C2×C3×#41C2312yes—
290C2×C3×#41C2311yescharacteristic
291C2×C3×#41C2311yescharacteristic
292C22×C3×Q8C2311yescharacteristic
293C22×C3×D4C2311yescharacteristic
294C22×#67C2314yes—
295C22×#67C2314yes—
296C22×#67C2314yes—
297#1009—44no—
298#1009—44no—
299D3×#41—48no—
300#1007—44no—
301C2×#239C2312yes—
302C2×#239C2312yes—
303C2×#239C2312yes—
304C2×#239C2312yes—
305C2×#239C2312yes—
306C2×D3×Q8C2312yes—
307C2×D3×Q8C2312yes—
308#1004—44no—
309C2×#237C2312yes—
310C2×#237C2312yes—
311C2×#237C2314yes—
312C2×#237C2314yes—
313C2×D3×D4C2312yes—
314C2×D3×D4C2312yes—
315C2×D3×D4C2312yes—
316C2×D3×D4C2312yes—
317C2×D3×D4C2312yes—
318C2×D3×D4C2312yes—
319C2×D3×D4C2314yes—
320C2×D3×D4C2312yes—
321C2×D3×D4C2314yes—
322C2×D3×D4C2314yes—
323C2×D3×D4C2314yes—
324C2×D3×D4C2314yes—
325C2×D3×D4C2314yes—
326C2×D3×D4C2314yes—
327C2×D3×D4C2314yes—
328C2×D3×D4C2314yes—
329C2×#235C2311yescharacteristic
330C2×#235C2311yescharacteristic
331C2×#235C2312yes—
332C2×#235C2311yescharacteristic
333C2×#235C2314yes—
334C2×#235C2314yes—
335C2×#235C2311yescharacteristic
336C2×#235C2311yescharacteristic
337C2×#235C2314yes—
338C2×#235C2314yes—
339C22×D12C2311yescharacteristic
340C22×D12C2311yescharacteristic
341C22×D12C2312yes—
342C22×D12C2311yescharacteristic
343C22×D12C2311yescharacteristic
344C22×D12C2314yes—
345C22×D12C2314yes—
346C22×D12C2314yes—
347C22×C4×D3C2314yes—
348C22×C4×D3C2312yes—
349C3×C4⋊Q8C2311yescharacteristic
350C3×C4⋊Q8C2312yes—
351C3×#127C2311yescharacteristic
352C3×#127C2312yes—
353C3×#126C2314yes—
354C3×#126C2314yes—
355C3×#126C2314yes—
356C3×#125C2314yes—
357C3×#125C2312yes—
358C3×#124C2312yes—
359C3×#124C2311yescharacteristic
360C3×#124C2312yes—
361C3×#124C2312yes—
362C3×#124C2311yescharacteristic
363C3×#124C2314yes—
364C3×#123C2314yes—
365C3×#123C2312yes—
366C3×#123C2314yes—
367C3×#123C2314yes—
368C3×#123C2314yes—
369C3×#123C2312yes—
370C3×C22⋊Q8C2314yes—
371C3×C22⋊Q8C2312yes—
372C3×C22⋊Q8C2312yes—
373C3×C22⋊Q8C2312yes—
374C3×C22⋊Q8C2314yes—
375C3×#121C2314yes—
376C3×#121C2314yes—
377C3×#121C2314yes—
378C3×#121C2312yes—
379C3×#121C2314yes—
380C3×#121C2312yes—
381C3×#121C2312yes—
382C3×#121C2314yes—
383C3×#121C2312yes—
384C3×#121C2312yes—
385C3×#121C2314yes—
386C3×#120C2314yes—
387C3×#120C2312yes—
388C3×#120C2312yes—
389C3×C4×Q8C2312yes—
390C3×C4×D4C2312yes—
391C3×C4×D4C2312yes—
392C3×C4×D4C2314yes—
393C3×C4×D4C2314yes—
394C3×C4×D4C2312yes—
395C3×C4×D4C2314yes—
396C3×#117C2311yescharacteristic
397C3×#117C2311yescharacteristic
398C3×#117C2314yes—
399C3×#117C2314yes—
400C2×C3×C4⋊C4C2312yes—
401C2×C3×C22⋊C4C2314yes—
402C2×C3×C42C2311yescharacteristic
403#953C2314yes—
404#947C2312yes—
405#947C2314yes—
406#947C2312yes—
407#947C2312yes—
408#947C2312yes—
409#947C2312yes—
410#947C2312yes—
411#947C2312yes—
412#947C2311yescharacteristic
413#947C2311yescharacteristic
414#946C2312yes—
415#946C2312yes—
416#946C2312yes—
417#946C2314yes—
418Q8×Dic3C2312yes—
419#944C2311yescharacteristic
420#944C2311yescharacteristic
421#940C2312yes—
422#940C2312yes—
423#940C2314yes—
424#940C2314yes—
425#940C2314yes—
426#940C2312yes—
427#940C2311yescharacteristic
428#940C2314yes—
429#940C2311yescharacteristic
430#940C2312yes—
431#940C2312yes—
432#940C2312yes—
433#940C2314yes—
434#940C2312yes—
435#940C2314yes—
436#940C2314yes—
437#939C2312yes—
438#939C2312yes—
439#939C2312yes—
440#939C2314yes—
441#939C2314yes—
442#939C2314yes—
443#939C2312yes—
444#939C2312yes—
445#939C2314yes—
446#939C2314yes—
447#939C2312yes—
448#939C2314yes—
449#939C2312yes—
450#939C2312yes—
451#939C2314yes—
452#939C2314yes—
453#939C2314yes—
454#938C2312yes—
455#938C2314yes—
456#938C2314yes—
457#938C2312yes—
458#938C2312yes—
459#937C2312yes—
460#937C2314yes—
461#937C2314yes—
462#937C2314yes—
463#937C2314yes—
464#937C2312yes—
465#937C2314yes—
466#937C2312yes—
467#937C2314yes—
468#937C2312yes—
469#937C2314yes—
470#937C2314yes—
471#937C2312yes—
472#937C2314yes—
473#937C2312yes—
474#937C2314yes—
475#936C2311yescharacteristic
476#936C2314yes—
477#936C2311yescharacteristic
478#935C2312yes—
479#935C2312yes—
480#935C2312yes—
481#935C2312yes—
482D4×Dic3C2312yes—
483#930C2312yes—
484#930C2314yes—
485#930C2314yes—
486#930C2314yes—
487#930C2312yes—
488#930C2314yes—
489#930C2314yes—
490#930C2314yes—
491#930C2314yes—
492#930C2314yes—
493#930C2312yes—
494#930C2312yes—
495#930C2312yes—
496#929C2314yes—
497#929C2312yes—
498#929C2312yes—
499#929C2314yes—
500#929C2314yes—
501C4×#67C2314yes—
502C4×#67C2312yes—
503C4×#67C2312yes—
504C4×#67C2312yes—
505C4×#67C2312yes—
506C4×#67C2314yes—
507C4×#67C2314yes—
508C4×#67C2314yes—
509C4×#67C2314yes—
510C4×#67C2314yes—
511C4×#67C2314yes—
512C4×#67C2312yes—
513C4×#67C2312yes—
514C2×(C2×D3)⋊C4C2314yes—
515C2×(C2×D3)⋊C4C2314yes—
516C2×(C2×D3)⋊C4C2314yes—
517#926C2311yescharacteristic
518#926C2312yes—
519#924C2312yes—
520C2×Dic3⋊C4C2314yes—
521C2×C4×Dic3C2311yescharacteristic
522C2×C4×Dic3C2311yescharacteristic
523#898C2314yes—
524#898C2314yes—
525#898C2312yes—
526#898C2314yes—
527#898C2312yes—
528#898C2314yes—
529#897C2314yes—
530#896C2314yes—
531#896C2312yes—
532#896C2314yes—
533#896C2314yes—
534#896C2314yes—
535#896C2314yes—
536#896C2312yes—
537#896C2314yes—
538#895C2314yes—
539#895C2312yes—
540#895C2312yes—
541#895C2312yes—
542#895C2314yes—
543#895C2314yes—
544#895C2314yes—
545#895C2314yes—
546#895C2314yes—
547#895C2314yes—
548#895C2314yes—
549#895C2314yes—
550#895C2314yes—
551#895C2314yes—
552#895C2314yes—
553#895C2314yes—
554#895C2314yes—
555#895C2314yes—
556#895C2314yes—
557#895C2312yes—
558#895C2312yes—
559#895C2312yes—
560#894C2314yes—
561#894C2314yes—
562#894C2314yes—
563#894C2314yes—
564#894C2314yes—
565#894C2314yes—
566#894C2314yes—
567#894C2314yes—
568#894C2314yes—
569#894C2314yes—
570#894C2314yes—
571#894C2312yes—
572#894C2314yes—
573#894C2314yes—
574#894C2314yes—
575#894C2314yes—
576#894C2312yes—
577#893C2314yes—
578#893C2314yes—
579#893C2314yes—
580#893C2314yes—
581#893C2314yes—
582#893C2312yes—
583#893C2314yes—
584#893C2314yes—
585#893C2312yes—
586#893C2312yes—
587#893C2312yes—
588#892C2314yes—
589#892C2314yes—
590#892C2314yes—
591#892C2314yes—
592#892C2312yes—
593D3×C4⋊C4C2312yes—
594D3×C4⋊C4C2314yes—
595#890C2312yes—
596#889C2314yes—
597#889C2312yes—
598#889C2314yes—
599#889C2312yes—
600#889C2314yes—
601#888C2312yes—
602#888C2314yes—
603#887C2312yes—
604#887C2314yes—
605#887C2312yes—
606#887C2314yes—
607#886C2314yes—
608#886C2314yes—
609#886C2312yes—
610#886C2314yes—
611#886C2312yes—
612#885C2314yes—
613#885C2314yes—
614#885C2314yes—
615#885C2314yes—
616#885C2314yes—
617#885C2314yes—
618#885C2314yes—
619#885C2314yes—
620#885C2314yes—
621#885C2314yes—
622#885C2312yes—
623#885C2312yes—
624#884C2314yes—
625#884C2314yes—
626#884C2314yes—
627#884C2314yes—
628#884C2314yes—
629#884C2314yes—
630#884C2314yes—
631#884C2314yes—
632#884C2314yes—
633#884C2312yes—
634#884C2314yes—
635#884C2314yes—
636#884C2314yes—
637#884C2314yes—
638#884C2314yes—
639#884C2314yes—
640#884C2314yes—
641#884C2314yes—
642#884C2314yes—
643#884C2314yes—
644#884C2314yes—
645#884C2314yes—
646#884C2314yes—
647#884C2314yes—
648#884C2314yes—
649#884C2314yes—
650#884C2314yes—
651#884C2314yes—
652#884C2312yes—
653#883C2314yes—
654#883C2314yes—
655#883C2314yes—
656#883C2314yes—
657#883C2314yes—
658#883C2314yes—
659#883C2312yes—
660#883C2312yes—
661#882C2314yes—
662#882C2314yes—
663#882C2314yes—
664#882C2314yes—
665#882C2314yes—
666#882C2314yes—
667#882C2314yes—
668#882C2314yes—
669#882C2314yes—
670#882C2314yes—
671#882C2314yes—
672#882C2314yes—
673#882C2314yes—
674#882C2314yes—
675#882C2314yes—
676#882C2314yes—
677#882C2314yes—
678#882C2312yes—
679#882C2314yes—
680#882C2314yes—
681#882C2314yes—
682#882C2314yes—
683#882C2314yes—
684#882C2312yes—
685#67⋊C4C2314yes—
686#67⋊C4C2314yes—
687#67⋊C4C2314yes—
688#67⋊C4C2314yes—
689#67⋊C4C2314yes—
690#67⋊C4C2314yes—
691#67⋊C4C2314yes—
692#67⋊C4C2314yes—
693#67⋊C4C2314yes—
694#67⋊C4C2314yes—
695#67⋊C4C2314yes—
696D3×C22⋊C4C2314yes—
697D3×C22⋊C4C2314yes—
698D3×C22⋊C4C2314yes—
699D3×C22⋊C4C2314yes—
700D3×C22⋊C4C2314yes—
701#879C2314yes—
702#879C2312yes—
703#879C2312yes—
704#878C2312yes—
705#878C2314yes—
706#878C2312yes—
707#878C2312yes—
708#878C2312yes—
709#877C2314yes—
710#877C2314yes—
711#876C2314yes—
712#876C2314yes—
713#876C2312yes—
714#876C2312yes—
715#875C2312yes—
716#875C2312yes—
717#875C2312yes—
718#875C2314yes—
719#875C2314yes—
720#875C2314yes—
721#874C2312yes—
722#874C2312yes—
723#874C2312yes—
724#874C2312yes—
725#874C2312yes—
726#874C2314yes—
727#874C2312yes—
728C4×D12C2312yes—
729C4×D12C2314yes—
730C4×D12C2314yes—
731C4×D12C2314yes—
732C4×D12C2312yes—
733#872C2314yes—
734#872C2312yes—
735#872C2312yes—
736#872C2312yes—
737#872C2312yes—
738#872C2312yes—
739#872C2314yes—
740C42×D3C2312yes—
741C42×D3C2312yes—
742C42×D3C2312yes—
743#870C2312yes—
744C4×Dic6C2312yes—
745C4×Dic6C2314yes—
746C4×Dic6C2312yes—
747C2×2−1+4—31no—
748C2×H(5,𝔽2)—31no—
749C2×H(5,𝔽2)—31no—
750C2×H(5,𝔽2)—31no—
751C22×#41—32no—
752#563—31no—
753#563—31no—
754#563—32no—
755#563—31no—
756#563C2×D312yescomplemented
757#562—34no—
758#562—32no—
759#562—34no—
760#562—34no—
761#562—32no—
762#562—32no—
763H(3,𝔽4)—32no—
764H(3,𝔽4)—31no—
765H(3,𝔽4)—34no—
766H(3,𝔽4)—32no—
767#560—32no—
768#560—34no—
769#560—34no—
770#560—34no—
771#560—34no—
772#560—34no—
773#560—34no—
774#560—32no—
775#560—32no—
776#560—32no—
777#560—34no—
778#560—34no—
779#560C2×D312yescomplemented
780#559—32no—
781#559—34no—
782#559—32no—
783#559—34no—
784#557—32no—
785#555—32no—
786#555—32no—
787#555—32no—
788#555—32no—
789#555—34no—
790#555—34no—
791#555C2×D312yescomplemented
792#553—34no—
793#553—34no—
794#553—32no—
795#553—34no—
796#553—34no—
797#553—32no—
798#553—32no—
799#553C2×D312yescomplemented
800#552—34no—
801#552—32no—
802#552—34no—
803#552C2×D312yescomplemented
804#551—32no—
805#551—34no—
806#551—34no—
807#551C2×D312yescomplemented
808#550—32no—
809#550—32no—
810#550—34no—
811#550—32no—
812#550—32no—
813#550—34no—
814#550—32no—
815#550—32no—
816#550—34no—
817#550—32no—
818#550—32no—
819#548—32no—
820#548—32no—
821#548—34no—
822#548—32no—
823#548—34no—
824#548—32no—
825#548—32no—
826#548C2×D312yescomplemented
827#547—34no—
828#547—32no—
829#546—32no—
830#546—34no—
831#546—34no—
832#546—34no—
833#546—34no—
834#546—32no—
835#546—32no—
836#546—32no—
837#546—32no—
838#546—34no—
839#546—34no—
840#546—34no—
841#546—34no—
842#546—34no—
843#546—34no—
844#546—34no—
845#546—34no—
846#546C2×D312yescomplemented
847D42—32no—
848D42—34no—
849D42—32no—
850D42—34no—
851D42—34no—
852D42—32no—
853D42—34no—
854D42—32no—
855D42—34no—
856D42—32no—
857D42—34no—
858D42—34no—
859D42—34no—
860D42—34no—
861D42—32no—
862D42—34no—
863D42—32no—
864D42—32no—
865D42—32no—
866D42—34no—
867D42—34no—
868#542—34no—
869#542—34no—
870#542—32no—
871#542—32no—
872#540—32no—
873#540—32no—
874#540—34no—
875#540—34no—
876#540—34no—
877#540—34no—
878#540—34no—
879#540—34no—
880#540—34no—
881#540—32no—
882#540—34no—
883#540—32no—
884#540—34no—
885#540C2×D314yescomplemented
886#538—34no—
887#538—34no—
888#538—34no—
889#538—34no—
890#538—34no—
891#538—34no—
892#538—34no—
893#538—34no—
894#538C2×D314yescomplemented
895#537—34no—
896#537—32no—
897#537—34no—
898#537C2×D312yescomplemented
899#536—32no—
900#536C2×D311yescharacteristic, complemented
901#535—32no—
902#535—31no—
903#535—31no—
904#535—32no—
905#535—34no—
906#535—34no—
907#535—32no—
908#535—32no—
909#535—32no—
910#535—32no—
911#535—32no—
912#535—32no—
913#535—32no—
914#535—34no—
915#535—34no—
916#535—34no—
917#535—34no—
918#535—34no—
919#535—34no—
920#535—31no—
921#535—31no—
922#535—34no—
923#535—34no—
924#535C2×D311yescharacteristic, complemented
925#534—34no—
926#534—34no—
927#534—34no—
928#534—34no—
929#534—34no—
930#534—34no—
931#534—34no—
932#534—34no—
933#534—34no—
934#532—31no—
935#532—31no—
936#532—32no—
937#532—32no—
938#532—32no—
939#532—32no—
940#532—34no—
941#532C2×D311yescharacteristic, complemented
942C2×#127—31no—
943C2×#127—32no—
944C2×#127—32no—
945C2×#127—31no—
946#529—34no—
947#529—34no—
948#529—34no—
949#529—34no—
950#529—32no—
951#529—32no—
952#529—32no—
953#529—34no—
954#529—32no—
955#529C2×D312yescomplemented
956C2×#124—31no—
957C2×#124—32no—
958#525—32no—
959#525—34no—
960#525—34no—
961#525—32no—
962#525—34no—
963#525—32no—
964#525—34no—
965#525—32no—
966C2×#121—34no—
967C2×#121—32no—
968C2×#121—32no—
969C2×#121—34no—
970#520—32no—
971#520—32no—
972#519—32no—
973C4×#41—31no—
974C4×#41—31no—
975C4×#41—31no—
976C24×C3C2412yes—
977C23×D3C2412yes—
978C23×D3C2412yes—
979C23×D3C2412yes—
980C23×D3C2414yes—
981C23×D3C2414yes—
982C23×D3C2414yes—
983C23×D3C2412yes—
984C23×D3C2412yes—
985C3×#41—42no—
986C3×#41—42no—
987C3×#41—44no—
988C2×C3×Q8—42no—
989C2×C3×Q8C2412yes—
990C2×C3×Q8C2411yescharacteristic
991C2×C3×Q8C2411yescharacteristic
992C2×C3×Q8C2412yes—
993C2×C3×D4—42no—
994C2×C3×D4C2412yes—
995C2×C3×D4C2411yescharacteristic
996C2×C3×D4C2412yes—
997C2×C3×D4C2412yes—
998C2×C3×D4C2412yes—
999C2×C3×D4C2414yes—
1000C2×C3×D4C2411yescharacteristic
1001C2×C3×D4C2411yescharacteristic
1002C2×C3×D4C2414yes—
1003C2×C3×D4C2414yes—
1004C2×C3×D4C2412yes—
1005C2×C3×D4C2414yes—
1006C2×C3×D4C2411yescharacteristic
1007C22×C3×C4C2411yescharacteristic
1008C22×C3×C4C2411yescharacteristic
1009C22×C3×C4C2411yescharacteristic
1010C22×C3×C4C2412yes—
1011C22×C3×C4C2414yes—
1012C22×C3×C4C2412yes—
1013C22×C3×C4C2412yes—
1014C22×C3×C4C2414yes—
1015C22×C3×C4C2414yes—
1016C2×#67—48no—
1017C2×#67—84no—
1018C2×#67—84no—
1019C2×#67C2412yes—
1020C2×#67C2412yes—
1021C2×#67C2414yes—
1022C2×#67C2414yes—
1023C2×#67C2412yes—
1024C2×#67C2414yes—
1025C2×#67C2414yes—
1026C2×#67C2414yes—
1027C2×#67C2414yes—
1028C2×#67C2414yes—
1029C2×#67C2414yes—
1030C2×#67C2414yes—
1031C2×#67C2414yes—
1032C2×#67C2412yes—
1033C2×#67C2412yes—
1034C2×#67C2412yes—
1035C2×#67C2412yes—
1036C2×#67C2412yes—
1037C2×#67C2414yes—
1038C2×#67C2412yes—
1039C2×#67C2414yes—
1040C2×#67C2414yes—
1041C2×#67C2414yes—
1042C2×#67C2414yes—
1043C2×#67C2412yes—
1044C2×#67C2412yes—
1045C22×Dic3C2414yes—
1046C22×Dic3C2414yes—
1047C22×Dic3C2412yes—
1048C22×Dic3C2412yes—
1049C22×Dic3C2412yes—
1050#239—44no—
1051#239—44no—
1052#239—44no—
1053#239—44no—
1054#239—44no—
1055D3×Q8—28no—
1056D3×Q8—44no—
1057#237—28no—
1058#237—48no—
1059#237—44no—
1060#237—84no—
1061D3×D4—44no—
1062D3×D4—44no—
1063D3×D4—44no—
1064D3×D4—48no—
1065D3×D4—48no—
1066D3×D4—44no—
1067D3×D4—44no—
1068D3×D4—44no—
1069D3×D4—44no—
1070D3×D4—84no—
1071D3×D4—84no—
1072D3×D4—84no—
1073D3×D4—84no—
1074D3×D4—84no—
1075D3×D4—84no—
1076D3×D4—84no—
1077#235—24no—
1078#235—24no—
1079#235—28no—
1080#235—24no—
1081#235—48no—
1082#235—48no—
1083#235—42no—
1084#235—42no—
1085#235—84no—
1086#235—84no—
1087C2×D12—42no—
1088C2×D12—44no—
1089C2×D12—42no—
1090C2×D12—42no—
1091C2×D12—42no—
1092C2×D12—84no—
1093C2×D12—84no—
1094C2×D12—84no—
1095C2×D12C2411yescharacteristic
1096C2×D12C2411yescharacteristic
1097C2×D12C2412yes—
1098C2×D12C2411yescharacteristic
1099C2×D12C2414yes—
1100C2×D12C2414yes—
1101C2×D12C2412yes—
1102C2×D12C2414yes—
1103C2×D12C2411yescharacteristic
1104C2×D12C2414yes—
1105C2×D12C2414yes—
1106C2×D12C2412yes—
1107C2×D12C2412yes—
1108C2×D12C2411yescharacteristic
1109C2×D12C2414yes—
1110C2×D12C2412yes—
1111C2×D12C2414yes—
1112C2×D12C2414yes—
1113C2×D12C2412yes—
1114C2×D12C2414yes—
1115C2×D12C2414yes—
1116C2×D12C2414yes—
1117C2×D12C2414yes—
1118C2×D12C2414yes—
1119C2×C4×D3—48no—
1120C2×C4×D3—44no—
1121C2×C4×D3C2412yes—
1122C2×C4×D3C2412yes—
1123C2×C4×D3C2412yes—
1124C2×C4×D3C2412yes—
1125C2×C4×D3C2412yes—
1126C2×C4×D3C2414yes—
1127C2×C4×D3C2414yes—
1128C2×C4×D3C2414yes—
1129C2×C4×D3C2414yes—
1130C2×C4×D3C2414yes—
1131C2×C4×D3C2414yes—
1132C2×C4×D3C2414yes—
1133C2×C4×D3C2414yes—
1134C2×C4×D3C2414yes—
1135C2×C4×D3C2414yes—
1136C2×C4×D3C2412yes—
1137C2×C4×D3C2412yes—
1138C2×Dic6C2414yes—
1139C2×Dic6C2412yes—
1140C2×Dic6C2411yescharacteristic
1141C2×Dic6C2411yescharacteristic
1142C2×Dic6C2414yes—
1143C2×Dic6C2411yescharacteristic
1144C3×C4⋊C4C2412yes—
1145C3×C4⋊C4C2414yes—
1146C3×C4⋊C4C2412yes—
1147C3×C4⋊C4C2414yes—
1148C3×C4⋊C4C2414yes—
1149C3×C4⋊C4C2414yes—
1150C3×C4⋊C4C2412yes—
1151C3×C4⋊C4C2412yes—
1152C3×C4⋊C4C2414yes—
1153C3×C4⋊C4C2414yes—
1154C3×C4⋊C4C2414yes—
1155C3×C22⋊C4C2414yes—
1156C3×C22⋊C4C2414yes—
1157C3×C22⋊C4C2412yes—
1158C3×C22⋊C4C2412yes—
1159C3×C22⋊C4C2412yes—
1160C3×C22⋊C4C2412yes—
1161C3×C22⋊C4C2414yes—
1162C3×C22⋊C4C2414yes—
1163C3×C22⋊C4C2414yes—
1164C3×C22⋊C4C2414yes—
1165C3×C22⋊C4C2414yes—
1166C3×C22⋊C4C2412yes—
1167C3×C22⋊C4C2414yes—
1168C3×C22⋊C4C2412yes—
1169C3×C22⋊C4C2414yes—
1170C3×C42C2412yes—
1171C3×C42C2414yes—
1172C3×C42C2411yescharacteristic
1173C3×C42C2411yescharacteristic
1174C3×C42C2412yes—
1175C3×C42C2412yes—
1176#217C2414yes—
1177#217C2414yes—
1178#217C2412yes—
1179#217C2412yes—
1180#217C2412yes—
1181#217C2412yes—
1182#217C2412yes—
1183#217C2412yes—
1184#217C2412yes—
1185#217C2412yes—
1186#217C2412yes—
1187(C2×D3)⋊C4C2412yes—
1188(C2×D3)⋊C4C2414yes—
1189(C2×D3)⋊C4C2414yes—
1190(C2×D3)⋊C4C2412yes—
1191(C2×D3)⋊C4C2414yes—
1192(C2×D3)⋊C4C2414yes—
1193(C2×D3)⋊C4C2414yes—
1194(C2×D3)⋊C4C2412yes—
1195(C2×D3)⋊C4C2412yes—
1196(C2×D3)⋊C4C2414yes—
1197(C2×D3)⋊C4C2412yes—
1198(C2×D3)⋊C4C2414yes—
1199(C2×D3)⋊C4C2412yes—
1200(C2×D3)⋊C4C2414yes—
1201(C2×D3)⋊C4C2412yes—
1202(C2×D3)⋊C4C2414yes—
1203(C2×D3)⋊C4C2414yes—
1204(C2×D3)⋊C4C2414yes—
1205(C2×D3)⋊C4C2412yes—
1206(C2×D3)⋊C4C2414yes—
1207(C2×D3)⋊C4C2412yes—
1208(C2×D3)⋊C4C2412yes—
1209(C2×D3)⋊C4C2414yes—
1210(C2×D3)⋊C4C2414yes—
1211(C2×D3)⋊C4C2414yes—
1212(C2×D3)⋊C4C2414yes—
1213(C2×D3)⋊C4C2414yes—
1214(C2×D3)⋊C4C2414yes—
1215(C2×D3)⋊C4C2414yes—
1216(C2×D3)⋊C4C2414yes—
1217(C2×D3)⋊C4C2414yes—
1218(C2×D3)⋊C4C2414yes—
1219(C2×D3)⋊C4C2412yes—
1220(C2×D3)⋊C4C2414yes—
1221(C2×D3)⋊C4C2412yes—
1222C4⋊Dic3C2412yes—
1223C4⋊Dic3C2412yes—
1224C4⋊Dic3C2414yes—
1225C4⋊Dic3C2412yes—
1226C4⋊Dic3C2414yes—
1227C4⋊Dic3C2412yes—
1228C4⋊Dic3C2412yes—
1229Dic3⋊C4C2412yes—
1230Dic3⋊C4C2414yes—
1231Dic3⋊C4C2412yes—
1232Dic3⋊C4C2412yes—
1233Dic3⋊C4C2412yes—
1234Dic3⋊C4C2412yes—
1235Dic3⋊C4C2412yes—
1236Dic3⋊C4C2412yes—
1237Dic3⋊C4C2414yes—
1238Dic3⋊C4C2412yes—
1239Dic3⋊C4C2414yes—
1240Dic3⋊C4C2412yes—
1241Dic3⋊C4C2414yes—
1242Dic3⋊C4C2412yes—
1243Dic3⋊C4C2414yes—
1244Dic3⋊C4C2414yes—
1245Dic3⋊C4C2414yes—
1246Dic3⋊C4C2412yes—
1247Dic3⋊C4C2412yes—
1248C4×Dic3C2414yes—
1249C4×Dic3C2414yes—
1250C4×Dic3C2414yes—
1251C4×Dic3C2412yes—
1252C4×Dic3C2412yes—
1253C4×Dic3C2411yescharacteristic
1254C4×Dic3C2411yescharacteristic
1255C4×Dic3C2412yes—
1256C4×Dic3C2414yes—
1257C4×Dic3C2411yescharacteristic
1258C4×Dic3C2411yescharacteristic
1259C4×Dic3C2414yes—
12602−1+4—124no—
1261H(5,𝔽2)—124no—
1262H(5,𝔽2)—124no—
1263H(5,𝔽2)—124no—
1264C2×#41—32no—
1265C2×#41—32no—
1266C2×#41—32no—
1267C2×#41—32no—
1268C2×#41—32no—
1269C2×#41—32no—
1270C2×#41—32no—
1271C2×#41—34no—
1272C2×#41—34no—
1273C2×#41—31no—
1274C2×#41—31no—
1275C2×#41—31no—
1276C2×#41—32no—
1277C2×#41—31no—
1278C2×#41—31no—
1279C2×#41—34no—
1280C2×#41—34no—
1281C2×#41—34no—
1282C2×#41—34no—
1283C2×#41—128no—
1284C2×#41C22×D311yescharacteristic
1285C2×#41C22×D311yescharacteristic
1286C2×#41C22×D312yes—
1287C22×Q8—32no—
1288C22×Q8—32no—
1289C22×Q8C22×D311yescharacteristic
1290C22×D4—34no—
1291C22×D4—34no—
1292C22×D4—34no—
1293C22×D4—34no—
1294C22×D4—32no—
1295C22×D4—32no—
1296C22×D4—32no—
1297C22×D4—32no—
1298C22×D4—32no—
1299C22×D4—32no—
1300C22×D4—34no—
1301C22×D4—32no—
1302C22×D4—34no—
1303C22×D4—34no—
1304C22×D4—34no—
1305C22×D4—34no—
1306C22×D4—34no—
1307C22×D4—34no—
1308C22×D4—34no—
1309C22×D4—32no—
1310C22×D4—31no—
1311C22×D4—31no—
1312C22×D4—31no—
1313C22×D4—31no—
1314C22×D4—34no—
1315C22×D4—34no—
1316C22×D4—34no—
1317C22×D4C22×D311yescharacteristic
1318C23×C4—34no—
1319C23×C4—32no—
1320C4⋊Q8—31no—
1321C4⋊Q8—31no—
1322C4⋊Q8—34no—
1323C4⋊Q8—32no—
1324C4⋊Q8C22×D311yescharacteristic
1325C4⋊Q8C22×D312yes—
1326#127—31no—
1327#127—32no—
1328#127—32no—
1329#127—32no—
1330#127—32no—
1331#127—34no—
1332#127—34no—
1333#127—32no—
1334#127—34no—
1335#127—34no—
1336#127—32no—
1337#127—34no—
1338#127—32no—
1339#127—31no—
1340#127—34no—
1341#127—34no—
1342#127—32no—
1343#127—32no—
1344#127—32no—
1345#127—32no—
1346#127—32no—
1347#127—32no—
1348#127—34no—
1349#127C22×D311yescharacteristic
1350#127C22×D312yes—
1351#126—32no—
1352#126—34no—
1353#126—32no—
1354#126—34no—
1355#126—34no—
1356#126—34no—
1357#126—32no—
1358#126—32no—
1359#126—34no—
1360#126—32no—
1361#126—32no—
1362#126—34no—
1363#126—34no—
1364#126C22×D314yes—
1365#126C22×D314yes—
1366#126C22×D314yes—
1367#125—32no—
1368#125—34no—
1369#125—32no—
1370#125—34no—
1371#125—34no—
1372#125—32no—
1373#125—32no—
1374#125C22×D314yes—
1375#125C22×D312yes—
1376#124—32no—
1377#124—32no—
1378#124—32no—
1379#124—32no—
1380#124—32no—
1381#124—31no—
1382#124—32no—
1383#124—31no—
1384#124—32no—
1385#124—34no—
1386#124—31no—
1387#124—31no—
1388#124—34no—
1389#124—34no—
1390#124—34no—
1391#124—34no—
1392#124—32no—
1393#124—34no—
1394#124—34no—
1395#124—34no—
1396#124—32no—
1397#124—34no—
1398#124—34no—
1399#124—34no—
1400#124—34no—
1401#124—32no—
1402#124—34no—
1403#124—32no—
1404#124—32no—
1405#124—34no—
1406#124—34no—
1407#124C22×D312yes—
1408#124C22×D312yes—
1409#124C22×D312yes—
1410#124C22×D311yescharacteristic
1411#124C22×D311yescharacteristic
1412#124C22×D314yes—
1413#123—32no—
1414#123—32no—
1415#123—32no—
1416#123—32no—
1417#123—34no—
1418#123—32no—
1419#123—32no—
1420#123—34no—
1421#123—34no—
1422#123—32no—
1423#123—34no—
1424#123—34no—
1425#123—32no—
1426#123—34no—
1427#123—34no—
1428#123—34no—
1429#123—34no—
1430#123—34no—
1431#123—34no—
1432#123—34no—
1433#123—34no—
1434#123—34no—
1435#123—34no—
1436#123—34no—
1437#123—34no—
1438#123—34no—
1439#123—32no—
1440#123—32no—
1441#123—34no—
1442#123—34no—
1443#123—34no—
1444#123—32no—
1445#123—34no—
1446#123—34no—
1447#123—32no—
1448#123—34no—
1449#123—34no—
1450#123—34no—
1451#123—34no—
1452#123C22×D314yes—
1453#123C22×D314yes—
1454#123C22×D314yes—
1455#123C22×D314yes—
1456#123C22×D312yes—
1457#123C22×D312yes—
1458C22⋊Q8—32no—
1459C22⋊Q8—32no—
1460C22⋊Q8—32no—
1461C22⋊Q8—34no—
1462C22⋊Q8—32no—
1463C22⋊Q8—32no—
1464C22⋊Q8—34no—
1465C22⋊Q8—34no—
1466C22⋊Q8—32no—
1467C22⋊Q8—34no—
1468C22⋊Q8—34no—
1469C22⋊Q8—34no—
1470C22⋊Q8—34no—
1471C22⋊Q8—34no—
1472C22⋊Q8—32no—
1473C22⋊Q8—34no—
1474C22⋊Q8—32no—
1475C22⋊Q8—32no—
1476C22⋊Q8—32no—
1477C22⋊Q8C22×D314yes—
1478C22⋊Q8C22×D312yes—
1479C22⋊Q8C22×D314yes—
1480C22⋊Q8C22×D312yes—
1481C22⋊Q8C22×D312yes—
1482#121—32no—
1483#121—34no—
1484#121—32no—
1485#121—34no—
1486#121—34no—
1487#121—32no—
1488#121—32no—
1489#121—32no—
1490#121—34no—
1491#121—32no—
1492#121—32no—
1493#121—34no—
1494#121—34no—
1495#121—32no—
1496#121—32no—
1497#121—32no—
1498#121—32no—
1499#121—34no—
1500#121—34no—
1501#121—34no—
1502#121—34no—
1503#121—34no—
1504#121—34no—
1505#121—32no—
1506#121—34no—
1507#121—34no—
1508#121—32no—
1509#121—32no—
1510#121—32no—
1511#121—32no—
1512#121—34no—
1513#121—34no—
1514#121—34no—
1515#121—34no—
1516#121—34no—
1517#121—34no—
1518#121—34no—
1519#121—32no—
1520#121—32no—
1521#121—32no—
1522#121—32no—
1523#121—32no—
1524#121—34no—
1525#121—32no—
1526#121—34no—
1527#121—34no—
1528#121—34no—
1529#121—34no—
1530#121—34no—
1531#121—34no—
1532#121—34no—
1533#121—34no—
1534#121—34no—
1535#121—34no—
1536#121—34no—
1537#121—34no—
1538#121—34no—
1539#121—34no—
1540#121—32no—
1541#121—34no—
1542#121—34no—
1543#121—34no—
1544#121—34no—
1545#121—34no—
1546#121—34no—
1547#121—34no—
1548#121—34no—
1549#121—32no—
1550#121—34no—
1551#121—34no—
1552#121—34no—
1553#121—34no—
1554#121—34no—
1555#121—34no—
1556#121—34no—
1557#121—34no—
1558#121—34no—
1559#121—34no—
1560#121—34no—
1561#121—34no—
1562#121—34no—
1563#121—34no—
1564#121—34no—
1565#121—34no—
1566#121—34no—
1567#121—34no—
1568#121C22×D314yes—
1569#121C22×D312yes—
1570#121C22×D312yes—
1571#121C22×D312yes—
1572#121C22×D312yes—
1573#121C22×D312yes—
1574#121C22×D314yes—
1575#121C22×D314yes—
1576#121C22×D314yes—
1577#121C22×D314yes—
1578#121C22×D314yes—
1579#120—34no—
1580#120—34no—
1581#120—32no—
1582#120—32no—
1583#120—32no—
1584#120—34no—
1585#120—32no—
1586#120—34no—
1587#120—34no—
1588#120—34no—
1589#120—34no—
1590#120—34no—
1591#120—34no—
1592#120—34no—
1593#120—34no—
1594#120—32no—
1595#120—32no—
1596#120—34no—
1597#120—34no—
1598#120—34no—
1599#120—34no—
1600#120—34no—
1601#120—34no—
1602#120—32no—
1603#120—34no—
1604#120—32no—
1605#120—34no—
1606#120—34no—
1607#120—34no—
1608#120—34no—
1609#120—34no—
1610#120—34no—
1611#120—34no—
1612#120—34no—
1613#120—34no—
1614#120—34no—
1615#120—34no—
1616#120—34no—
1617#120—34no—
1618#120—34no—
1619#120—34no—
1620#120C22×D314yes—
1621#120C22×D312yes—
1622#120C22×D312yes—
1623C4×Q8—32no—
1624C4×Q8—32no—
1625C4×Q8—32no—
1626C4×Q8—34no—
1627C4×Q8—34no—
1628C4×Q8—32no—
1629C4×Q8—34no—
1630C4×Q8—32no—
1631C4×Q8C22×D312yes—
1632C4×D4—32no—
1633C4×D4—34no—
1634C4×D4—34no—
1635C4×D4—34no—
1636C4×D4—34no—
1637C4×D4—32no—
1638C4×D4—32no—
1639C4×D4—32no—
1640C4×D4—32no—
1641C4×D4—32no—
1642C4×D4—32no—
1643C4×D4—34no—
1644C4×D4—34no—
1645C4×D4—34no—
1646C4×D4—32no—
1647C4×D4—32no—
1648C4×D4—32no—
1649C4×D4—32no—
1650C4×D4—34no—
1651C4×D4—34no—
1652C4×D4—34no—
1653C4×D4—34no—
1654C4×D4—34no—
1655C4×D4—34no—
1656C4×D4—34no—
1657C4×D4—34no—
1658C4×D4—34no—
1659C4×D4—34no—
1660C4×D4—34no—
1661C4×D4—34no—
1662C4×D4—34no—
1663C4×D4—34no—
1664C4×D4—34no—
1665C4×D4—34no—
1666C4×D4—34no—
1667C4×D4—34no—
1668C4×D4—32no—
1669C4×D4—32no—
1670C4×D4—34no—
1671C4×D4—34no—
1672C4×D4—34no—
1673C4×D4C22×D312yes—
1674C4×D4C22×D312yes—
1675C4×D4C22×D312yes—
1676C4×D4C22×D314yes—
1677C4×D4C22×D314yes—
1678C4×D4C22×D314yes—
1679#117—31no—
1680#117—32no—
1681#117—34no—
1682#117—32no—
1683#117—34no—
1684#117—34no—
1685#117—34no—
1686#117—34no—
1687#117—34no—
1688#117—32no—
1689#117—32no—
1690#117—32no—
1691#117—32no—
1692#117—34no—
1693#117—32no—
1694#117—34no—
1695#117C22×D311yescharacteristic
1696#117C22×D311yescharacteristic
1697#117C22×D314yes—
1698#117C22×D314yes—
1699C2×C4⋊C4—34no—
1700C2×C4⋊C4—34no—
1701C2×C4⋊C4—32no—
1702C2×C4⋊C4C22×D312yes—
1703C2×C22⋊C4—34no—
1704C2×C22⋊C4—34no—
1705C2×C22⋊C4—34no—
1706C2×C22⋊C4—34no—
1707C2×C22⋊C4—34no—
1708C2×C22⋊C4—34no—
1709C2×C22⋊C4—34no—
1710C2×C22⋊C4—34no—
1711C2×C22⋊C4C22×D314yes—
1712C2×C42—31no—
1713C2×C42—31no—
1714C2×C42—32no—
1715C2×C42—32no—
1716C2×C42—32no—
1717C2×C42C22×D311yescharacteristic
1718C23×C3—42no—
1719C23×C3—44no—
1720C23×C3C2511yescharacteristic
1721C23×C3C2512yes—
1722C23×C3C2511yescharacteristic
1723C23×C3C2514yes—
1724C23×C3C2511yescharacteristic
1725C22×D3—44no—
1726C22×D3—42no—
1727C22×D3—42no—
1728C22×D3—44no—
1729C22×D3—44no—
1730C22×D3—42no—
1731C22×D3—42no—
1732C22×D3—42no—
1733C22×D3—42no—
1734C22×D3—44no—
1735C22×D3—42no—
1736C22×D3—44no—
1737C22×D3—44no—
1738C22×D3—44no—
1739C22×D3—44no—
1740C22×D3—44no—
1741C22×D3—44no—
1742C22×D3—44no—
1743C22×D3—44no—
1744C22×D3—44no—
1745C22×D3C2512yes—
1746C22×D3C2512yes—
1747C22×D3C2512yes—
1748C22×D3C2514yes—
1749C22×D3C2512yes—
1750C22×D3C2512yes—
1751C3×Q8—24no—
1752C3×Q8—42no—
1753C3×Q8—41no—
1754C3×Q8—41no—
1755C3×D4—24no—
1756C3×D4—41no—
1757C3×D4—41no—
1758C3×D4—42no—
1759C3×D4—41no—
1760C3×D4—41no—
1761C3×D4—42no—
1762C3×D4—44no—
1763C3×D4—44no—
1764C3×D4—44no—
1765C3×D4—42no—
1766C3×D4—42no—
1767C3×D4—44no—
1768C2×C3×C4—24no—
1769C2×C3×C4—22no—
1770C2×C3×C4—22no—
1771C2×C3×C4—22no—
1772C2×C3×C4—44no—
1773C2×C3×C4—42no—
1774C2×C3×C4—44no—
1775C2×C3×C4—44no—
1776C2×C3×C4—42no—
1777C2×C3×C4C2512yes—
1778C2×C3×C4C2511yescharacteristic
1779C2×C3×C4C2511yescharacteristic
1780C2×C3×C4C2514yes—
1781C2×C3×C4C2511yescharacteristic
1782C2×C3×C4C2514yes—
1783C2×C3×C4C2514yes—
1784C2×C3×C4C2512yes—
1785C2×C3×C4C2512yes—
1786C2×C3×C4C2511yescharacteristic
1787#67—24no—
1788#67—24no—
1789#67—28no—
1790#67—24no—
1791#67—28no—
1792#67—42no—
1793#67—44no—
1794#67—42no—
1795#67—42no—
1796#67—44no—
1797#67—44no—
1798#67—44no—
1799#67—44no—
1800#67—44no—
1801#67—42no—
1802#67—42no—
1803#67—42no—
1804#67—42no—
1805#67—44no—
1806#67—44no—
1807#67—44no—
1808#67—44no—
1809#67—44no—
1810#67—44no—
1811#67—44no—
1812#67—42no—
1813C2×Dic3—28no—
1814C2×Dic3—42no—
1815C2×Dic3—42no—
1816C2×Dic3—44no—
1817C2×Dic3—42no—
1818C2×Dic3C2512yes—
1819C2×Dic3C2514yes—
1820C2×Dic3C2512yes—
1821C2×Dic3C2512yes—
1822C2×Dic3C2512yes—
1823C2×Dic3C2512yes—
1824C2×Dic3C2512yes—
1825C2×Dic3C2512yes—
1826D12—22no—
1827D12—22no—
1828D12—24no—
1829D12—22no—
1830D12—42no—
1831D12—42no—
1832D12—44no—
1833D12—42no—
1834D12—42no—
1835D12—44no—
1836D12—42no—
1837D12—44no—
1838D12—44no—
1839D12—44no—
1840D12—44no—
1841D12—44no—
1842D12—44no—
1843D12—44no—
1844D12—44no—
1845D12—41no—
1846D12—44no—
1847D12—44no—
1848D12—41no—
1849D12—44no—
1850C4×D3—24no—
1851C4×D3—24no—
1852C4×D3—28no—
1853C4×D3—28no—
1854C4×D3—24no—
1855C4×D3—24no—
1856C4×D3—24no—
1857C4×D3—42no—
1858C4×D3—42no—
1859C4×D3—44no—
1860C4×D3—44no—
1861C4×D3—44no—
1862C4×D3—44no—
1863C4×D3—44no—
1864C4×D3—44no—
1865C4×D3—44no—
1866C4×D3—44no—
1867Dic6—28no—
1868Dic6—41no—
1869Dic6—41no—
1870Dic6—42no—
1871Dic6—44no—
1872Dic6H(5,𝔽2)14yes—
1873C24—32no—
1874C24—34no—
1875C24—34no—
1876C24—32no—
1877C24—32no—
1878C24—32no—
1879C24—32no—
1880C24—34no—
1881C24C23×D312yes—
1882#41—42no—
1883#41—42no—
1884#41—44no—
1885#41—68no—
1886#41—64no—
1887#41—64no—
1888#41—64no—
1889#41—68no—
1890#41—122no—
1891#41—122no—
1892#41—128no—
1893#41—128no—
1894#41—124no—
1895#41—124no—
1896#41—124no—
1897#41—124no—
1898#41—128no—
1899#41—124no—
1900#41—124no—
1901#41—244no—
1902#41—244no—
1903#41—244no—
1904C2×Q8—31no—
1905C2×Q8—34no—
1906C2×Q8—34no—
1907C2×Q8—32no—
1908C2×Q8—31no—
1909C2×Q8—31no—
1910C2×Q8—42no—
1911C2×Q8—68no—
1912C2×Q8—124no—
1913C2×Q8C23×D312yes—
1914C2×Q8C23×D311yescharacteristic
1915C2×Q8C23×D312yes—
1916C2×Q8C23×D311yescharacteristic
1917C2×D4—32no—
1918C2×D4—32no—
1919C2×D4—34no—
1920C2×D4—34no—
1921C2×D4—32no—
1922C2×D4—32no—
1923C2×D4—34no—
1924C2×D4—32no—
1925C2×D4—32no—
1926C2×D4—34no—
1927C2×D4—34no—
1928C2×D4—34no—
1929C2×D4—34no—
1930C2×D4—34no—
1931C2×D4—34no—
1932C2×D4—34no—
1933C2×D4—32no—
1934C2×D4—34no—
1935C2×D4—32no—
1936C2×D4—34no—
1937C2×D4—32no—
1938C2×D4—34no—
1939C2×D4—32no—
1940C2×D4—34no—
1941C2×D4—34no—
1942C2×D4—32no—
1943C2×D4—31no—
1944C2×D4—31no—
1945C2×D4—32no—
1946C2×D4—31no—
1947C2×D4—34no—
1948C2×D4—34no—
1949C2×D4—34no—
1950C2×D4—34no—
1951C2×D4—34no—
1952C2×D4—34no—
1953C2×D4—34no—
1954C2×D4—34no—
1955C2×D4—34no—
1956C2×D4—32no—
1957C2×D4—34no—
1958C2×D4—31no—
1959C2×D4—34no—
1960C2×D4—34no—
1961C2×D4—32no—
1962C2×D4—34no—
1963C2×D4—32no—
1964C2×D4—31no—
1965C2×D4—32no—
1966C2×D4—32no—
1967C2×D4—42no—
1968C2×D4—124no—
1969C2×D4—122no—
1970C2×D4—122no—
1971C2×D4—122no—
1972C2×D4—122no—
1973C2×D4—124no—
1974C2×D4—124no—
1975C2×D4—128no—
1976C2×D4—128no—
1977C2×D4—124no—
1978C2×D4—124no—
1979C2×D4—124no—
1980C2×D4—124no—
1981C2×D4—124no—
1982C2×D4—128no—
1983C2×D4—244no—
1984C2×D4—244no—
1985C2×D4—244no—
1986C2×D4—244no—
1987C2×D4—244no—
1988C2×D4—244no—
1989C2×D4—244no—
1990C2×D4—244no—
1991C2×D4—244no—
1992C2×D4—244no—
1993C2×D4—244no—
1994C2×D4—244no—
1995C2×D4C23×D312yes—
1996C2×D4C23×D314yes—
1997C2×D4C23×D314yes—
1998C2×D4C23×D312yes—
1999C2×D4C23×D314yes—
2000C2×D4C23×D312yes—
2001C2×D4C23×D314yes—
2002C2×D4C23×D312yes—
2003C2×D4C23×D311yescharacteristic
2004C2×D4C23×D311yescharacteristic
2005C2×D4C23×D312yes—
2006C2×D4C23×D311yescharacteristic
2007C2×D4C23×D311yescharacteristic
2008C22×C4—34no—
2009C22×C4—32no—
2010C22×C4—32no—
2011C22×C4—32no—
2012C22×C4—34no—
2013C22×C4—32no—
2014C22×C4—32no—
2015C22×C4—32no—
2016C22×C4—34no—
2017C22×C4—32no—
2018C22×C4—34no—
2019C22×C4—32no—
2020C22×C4—34no—
2021C22×C4—34no—
2022C22×C4—34no—
2023C22×C4—34no—
2024C22×C4—32no—
2025C22×C4—34no—
2026C22×C4—34no—
2027C22×C4—34no—
2028C22×C4—34no—
2029C22×C4—32no—
2030C22×C4—124no—
2031C22×C4—128no—
2032C22×C4C23×D311yescharacteristic
2033C22×C4C23×D311yescharacteristic
2034C22×C4C23×D311yescharacteristic
2035C22×C4C23×D312yes—
2036C22×C4C23×D312yes—
2037C22×C4C23×D312yes—
2038C22×C4C23×D314yes—
2039C22×C4C23×D314yes—
2040C22×C4C23×D314yes—
2041C4⋊C4—34no—
2042C4⋊C4—34no—
2043C4⋊C4—32no—
2044C4⋊C4—32no—
2045C4⋊C4—34no—
2046C4⋊C4—34no—
2047C4⋊C4—32no—
2048C4⋊C4—32no—
2049C4⋊C4—32no—
2050C4⋊C4—32no—
2051C4⋊C4—32no—
2052C4⋊C4—34no—
2053C4⋊C4—34no—
2054C4⋊C4—32no—
2055C4⋊C4—32no—
2056C4⋊C4—34no—
2057C4⋊C4—32no—
2058C4⋊C4—32no—
2059C4⋊C4—32no—
2060C4⋊C4—34no—
2061C4⋊C4—32no—
2062C4⋊C4—32no—
2063C4⋊C4—34no—
2064C4⋊C4—32no—
2065C4⋊C4—32no—
2066C4⋊C4—32no—
2067C4⋊C4C23×D314yes—
2068C4⋊C4C23×D312yes—
2069C4⋊C4C23×D312yes—
2070C4⋊C4C23×D314yes—
2071C4⋊C4C23×D314yes—
2072C4⋊C4C23×D314yes—
2073C4⋊C4C23×D314yes—
2074C4⋊C4C23×D312yes—
2075C4⋊C4C23×D312yes—
2076C4⋊C4C23×D314yes—
2077C4⋊C4C23×D314yes—
2078C22⋊C4—32no—
2079C22⋊C4—32no—
2080C22⋊C4—32no—
2081C22⋊C4—32no—
2082C22⋊C4—34no—
2083C22⋊C4—32no—
2084C22⋊C4—32no—
2085C22⋊C4—32no—
2086C22⋊C4—34no—
2087C22⋊C4—32no—
2088C22⋊C4—32no—
2089C22⋊C4—34no—
2090C22⋊C4—34no—
2091C22⋊C4—34no—
2092C22⋊C4—34no—
2093C22⋊C4—34no—
2094C22⋊C4—34no—
2095C22⋊C4—34no—
2096C22⋊C4—34no—
2097C22⋊C4—32no—
2098C22⋊C4—34no—
2099C22⋊C4—34no—
2100C22⋊C4—34no—
2101C22⋊C4—34no—
2102C22⋊C4—32no—
2103C22⋊C4—34no—
2104C22⋊C4—32no—
2105C22⋊C4—34no—
2106C22⋊C4—32no—
2107C22⋊C4—34no—
2108C22⋊C4—34no—
2109C22⋊C4—34no—
2110C22⋊C4—32no—
2111C22⋊C4—34no—
2112C22⋊C4—32no—
2113C22⋊C4—34no—
2114C22⋊C4—32no—
2115C22⋊C4—32no—
2116C22⋊C4—34no—
2117C22⋊C4—32no—
2118C22⋊C4—32no—
2119C22⋊C4—32no—
2120C22⋊C4—32no—
2121C22⋊C4—34no—
2122C22⋊C4—34no—
2123C22⋊C4—34no—
2124C22⋊C4C23×D314yes—
2125C22⋊C4C23×D314yes—
2126C22⋊C4C23×D314yes—
2127C22⋊C4C23×D314yes—
2128C22⋊C4C23×D312yes—
2129C22⋊C4C23×D314yes—
2130C22⋊C4C23×D314yes—
2131C22⋊C4C23×D314yes—
2132C22⋊C4C23×D312yes—
2133C22⋊C4C23×D312yes—
2134C22⋊C4C23×D312yes—
2135C22⋊C4C23×D314yes—
2136C22⋊C4C23×D314yes—
2137C22⋊C4C23×D312yes—
2138C22⋊C4C23×D312yes—
2139C42—31no—
2140C42—31no—
2141C42—31no—
2142C42—32no—
2143C42—34no—
2144C42—32no—
2145C42—34no—
2146C42—34no—
2147C42—32no—
2148C42—31no—
2149C42—34no—
2150C42—34no—
2151C42C23×D311yescharacteristic
2152C42C23×D312yes—
2153C42C23×D312yes—
2154C42C23×D311yescharacteristic
2155C42C23×D312yes—
2156C42C23×D314yes—
2157C22×C3—24no—
2158C22×C3—22no—
2159C22×C3—21no—
2160C22×C3—21no—
2161C22×C3—21no—
2162C22×C3—24no—
2163C22×C3—22no—
2164C22×C3—22no—
2165C22×C3—24no—
2166C22×C3—22no—
2167C22×C3—22no—
2168C22×C3—22no—
2169C22×C3—162no—
2170C22×C3C2611yescharacteristic
2171C2×D3—22no—
2172C2×D3—22no—
2173C2×D3—24no—
2174C2×D3—22no—
2175C2×D3—22no—
2176C2×D3—22no—
2177C2×D3—22no—
2178C2×D3—24no—
2179C2×D3—24no—
2180C2×D3—24no—
2181C2×D3—24no—
2182C2×D3—22no—
2183C2×D3—22no—
2184C2×D3—24no—
2185C2×D3—22no—
2186C2×D3—84no—
2187C2×D3—88no—
2188C2×D3—162no—
2189C2×D3—164no—
2190C2×D3—164no—
2191C2×D3—162no—
2192C2×D3—162no—
2193C2×D3—162no—
2194C3×C4—24no—
2195C3×C4—21no—
2196C3×C4—21no—
2197C3×C4—22no—
2198C3×C4—21no—
2199C3×C4—24no—
2200C3×C4—22no—
2201C3×C4—24no—
2202C3×C4—22no—
2203C3×C4C2×H(5,𝔽2)12yes—
2204Dic3—22no—
2205Dic3—22no—
2206Dic3—22no—
2207Dic3—22no—
2208Dic3—24no—
2209Dic3—22no—
2210Dic3—22no—
2211Dic3C2×H(5,𝔽2)14yes—
2212C23—32no—
2213C23—32no—
2214C23—32no—
2215C23—32no—
2216C23—34no—
2217C23—32no—
2218C23—42no—
2219C23—44no—
2220C23—122no—
2221C23—124no—
2222C23—122no—
2223C23—124no—
2224C23—122no—
2225C23—124no—
2226C23—122no—
2227C23—124no—
2228C23—122no—
2229C23—122no—
2230C23—122no—
2231C23—124no—
2232C23—124no—
2233C23—124no—
2234C23—124no—
2235C23—124no—
2236C23—124no—
2237C23—124no—
2238C23—124no—
2239C23—124no—
2240C23C24×D311yescharacteristic
2241C23C24×D312yes—
2242C23C24×D311yescharacteristic
2243C23C24×D314yes—
2244C23C24×D311yescharacteristic
2245Q8—24no—
2246Q8—34no—
2247Q8—42no—
2248Q8—41no—
2249Q8—41no—
2250Q8—68no—
2251Q8—121no—
2252Q8—121no—
2253Q8—122no—
2254Q8—124no—
2255D4—24no—
2256D4—42no—
2257D4—42no—
2258D4—41no—
2259D4—41no—
2260D4—41no—
2261D4—41no—
2262D4—44no—
2263D4—44no—
2264D4—42no—
2265D4—42no—
2266D4—44no—
2267D4—44no—
2268D4—64no—
2269D4—64no—
2270D4—68no—
2271D4—68no—
2272D4—64no—
2273D4—62no—
2274D4—62no—
2275D4—64no—
2276D4—62no—
2277D4—124no—
2278D4—122no—
2279D4—121no—
2280D4—122no—
2281D4—122no—
2282D4—122no—
2283D4—124no—
2284D4—124no—
2285D4—122no—
2286D4—124no—
2287D4—124no—
2288D4—124no—
2289D4—124no—
2290D4—124no—
2291D4—124no—
2292D4—124no—
2293D4—124no—
2294D4—124no—
2295D4—121no—
2296D4—124no—
2297D4—122no—
2298D4—124no—
2299D4—124no—
2300D4—122no—
2301D4—122no—
2302D4—124no—
2303D4—124no—
2304D4—122no—
2305D4—122no—
2306D4—124no—
2307D4—124no—
2308D4—124no—
2309D4—122no—
2310D4—124no—
2311D4—124no—
2312D4—124no—
2313D4—124no—
2314D4—124no—
2315D4—122no—
2316D4—122no—
2317D4—124no—
2318C2×C4—24no—
2319C2×C4—22no—
2320C2×C4—22no—
2321C2×C4—22no—
2322C2×C4—32no—
2323C2×C4—32no—
2324C2×C4—32no—
2325C2×C4—34no—
2326C2×C4—32no—
2327C2×C4—32no—
2328C2×C4—32no—
2329C2×C4—32no—
2330C2×C4—44no—
2331C2×C4—42no—
2332C2×C4—44no—
2333C2×C4—44no—
2334C2×C4—42no—
2335C2×C4—68no—
2336C2×C4—68no—
2337C2×C4—64no—
2338C2×C4—64no—
2339C2×C4—64no—
2340C2×C4—68no—
2341C2×C4—64no—
2342C2×C4—64no—
2343C2×C4—122no—
2344C2×C4—122no—
2345C2×C4—124no—
2346C2×C4—124no—
2347C2×C4—124no—
2348C2×C4—124no—
2349C2×C4—124no—
2350C2×C4—124no—
2351C2×C4—124no—
2352C2×C4—124no—
2353C2×C4—122no—
2354C2×C4—122no—
2355C2×C4—124no—
2356C2×C4—122no—
2357C2×C4C24×D311yescharacteristic
2358C2×C4C24×D314yes—
2359C2×C4C24×D311yescharacteristic
2360C2×C4C24×D312yes—
2361C2×C4C24×D311yescharacteristic
2362C2×C4C24×D314yes—
2363C2×C4C24×D314yes—
2364C2×C4C24×D312yes—
2365C2×C4C24×D312yes—
2366C2×C4C24×D311yescharacteristic
2367C2×C3—42no—
2368C2×C3—44no—
2369C2×C3—41no—
2370C2×C3—41no—
2371C2×C3—41no—
2372C2×C3C22×H(5,𝔽2)11yescharacteristic
2373C2×C3H(7,𝔽2)12yes—
2374D3—42no—
2375D3—44no—
2376D3—42no—
2377D3—42no—
2378D3—42no—
2379D3—42no—
2380C22—21no—
2381C22—22no—
2382C22—21no—
2383C22—21no—
2384C22—24no—
2385C22—22no—
2386C22—24no—
2387C22—22no—
2388C22—22no—
2389C22—22no—
2390C22—22no—
2391C22—24no—
2392C22—62no—
2393C22—62no—
2394C22—64no—
2395C22—62no—
2396C22—62no—
2397C22—62no—
2398C22—64no—
2399C22—62no—
2400C22—64no—
2401C22—64no—
2402C22—64no—
2403C22—62no—
2404C22—62no—
2405C22—62no—
2406C22—64no—
2407C22—162no—
2408C22—248no—
2409C22—244no—
2410C22—482no—
2411C22—484no—
2412C22—484no—
2413C22—482no—
2414C22—482no—
2415C22—482no—
2416C22C25×D311yescharacteristic
2417C4—22no—
2418C4—21no—
2419C4—21no—
2420C4—21no—
2421C4—24no—
2422C4—22no—
2423C4—24no—
2424C4—22no—
2425C4—24no—
2426C4—34no—
2427C4—62no—
2428C4—62no—
2429C4—62no—
2430C4—62no—
2431C4—64no—
2432C4—62no—
2433C4—62no—
2434C4D3×H(5,𝔽2)12yes—
2435C3#6306611yescharacteristic, complemented, Sylow
2436C2—41no—
2437C2—44no—
2438C2—42no—
2439C2—41no—
2440C2—41no—
2441C2—122no—
2442C2—124no—
2443C2—122no—
2444C2—122no—
2445C2—122no—
2446C2—122no—
2447C2C2×D3×H(5,𝔽2)11yescharacteristic
2448C2#8757412yes—
subgroupG/H
center, FrattiniC22C25×D3
commutator, socle, cosocleC22×C3C26
FittingC3×#3551C2
hypercenter#3551D3
hypocenterC3#63066
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C22 ◁ #3551

Complements

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

NH ≅ G/Ntype
1. C3×#3551C2semidirect
2. #87120C2semidirect
3. #87115C2semidirect
4. #87083C2semidirect
5. #86969C2semidirect
6. #86968C2semidirect
7. #86916C2semidirect
8. #86886C2semidirect
9. #86846C2semidirect
10. #86843C2semidirect
11. #86805C2semidirect
12. #86736C2semidirect
13. #86730C2semidirect
14. #86651C2semidirect
15. #86629C2semidirect
16. #86493C2semidirect
17. #86474C2semidirect
18. #86424C2semidirect
19. #86396C2semidirect
20. #86386C2semidirect
21. #86379C2semidirect
22. #86350C2semidirect
23. #86341C2semidirect
24. #86326C2semidirect
25. #86316C2semidirect
26. #86248C2semidirect
27. #86242C2semidirect
28. #86172C2semidirect
29. #86131C2semidirect
31. C2×#1009C22semidirect
32. C2×#1009C22semidirect
33. C2×D3×#41C22semidirect
34. C2×#1007C22semidirect
35. C2×#1004C22semidirect
36. C3×#563C22semidirect
37. C3×#560C22semidirect
38. C3×#555C22semidirect
39. C3×#553C22semidirect
40. C3×#552C22semidirect
41. C3×#551C22semidirect
42. C3×#548C22semidirect
43. C3×#546C22semidirect
44. C3×#540C22semidirect
45. C3×#538C22semidirect
46. C3×#537C22semidirect
47. C3×#536C22semidirect
48. C3×#535C22semidirect
49. C3×#532C22semidirect
50. C3×#529C22semidirect
51. #5834C22semidirect
52. #5832C22semidirect
53. #5832C22semidirect
54. #5830C22semidirect
55. #5830C22semidirect
56. #5830C22semidirect
57. #5829C22semidirect
58. #5828C22semidirect
59. #5817C22semidirect
60. C2×#947C22semidirect
61. C2×#940C22semidirect
62. D4×#67C22semidirect
63. #5735C22semidirect
64. #5735C22semidirect
65. #5735C22semidirect
66. #5734C22semidirect
67. #5725C22semidirect
68. #5725C22semidirect
69. #5724C22semidirect
70. #5720C22semidirect
71. #5715C22semidirect
72. #5715C22semidirect
73. D3×#127C22semidirect
74. D3×#127C22semidirect
75. #5711C22semidirect
76. #5711C22semidirect
77. #5711C22semidirect
78. #5711C22semidirect
79. #5710C22semidirect
80. #5709C22semidirect
81. #5709C22semidirect
82. #5706C22semidirect
83. #5706C22semidirect
84. #5706C22semidirect
85. #5704C22semidirect
86. #5704C22semidirect
87. #5700C22semidirect
88. #5697C22semidirect
89. #5697C22semidirect
90. #5697C22semidirect
91. #5695C22semidirect
92. #5693C22semidirect
93. #5691C22semidirect
94. #5685C22semidirect
95. #5684C22semidirect
96. #5683C22semidirect
97. #5683C22semidirect
98. #5683C22semidirect
99. #5681C22semidirect
100. #5678C22semidirect
101. #5678C22semidirect
102. #5677C22semidirect
103. #5677C22semidirect
104. #5674C22semidirect
105. #5674C22semidirect
106. #5674C22semidirect
107. #5674C22semidirect
108. #5674C22semidirect
109. #5674C22semidirect
110. #5674C22semidirect
111. D3×#124C22semidirect
112. #5672C22semidirect
113. #5670C22semidirect
114. #5668C22semidirect
115. #5666C22semidirect
116. #5666C22semidirect
117. #5666C22semidirect
118. #5664C22semidirect
119. #5663C22semidirect
120. #5663C22semidirect
121. #5663C22semidirect
122. #5663C22semidirect
123. #5663C22semidirect
124. #5662C22semidirect
125. #5659C22semidirect
126. #5656C22semidirect
127. #5655C22semidirect
128. #5654C22semidirect
129. #5654C22semidirect
130. #5654C22semidirect
131. #5654C22semidirect
132. #5653C22semidirect
133. #5653C22semidirect
134. #5653C22semidirect
135. #5653C22semidirect
136. #5647C22semidirect
137. #5647C22semidirect
138. #5644C22semidirect
139. #5643C22semidirect
140. #5639C22semidirect
141. #5637C22semidirect
142. #5633C22semidirect
143. #5633C22semidirect
144. #5633C22semidirect
145. #5633C22semidirect
146. #5630C22semidirect
147. #5630C22semidirect
148. #5630C22semidirect
149. #5630C22semidirect
150. #5629C22semidirect
151. #5629C22semidirect
152. #5627C22semidirect
153. #5627C22semidirect
154. #5627C22semidirect
155. #5624C22semidirect
156. #5621C22semidirect
157. #5621C22semidirect
158. #5620C22semidirect
159. #5620C22semidirect
160. #5620C22semidirect
161. #5620C22semidirect
162. #5619C22semidirect
163. #5616C22semidirect
164. #5615C22semidirect
165. #5615C22semidirect
166. #5613C22semidirect
167. #5612C22semidirect
168. #5610C22semidirect
169. #5610C22semidirect
170. #5610C22semidirect
171. #5609C22semidirect
172. #5609C22semidirect
173. #5609C22semidirect
174. #5609C22semidirect
175. #5609C22semidirect
176. #5609C22semidirect
177. #5609C22semidirect
178. #5609C22semidirect
179. #5609C22semidirect
180. #5609C22semidirect
181. #5607C22semidirect
182. #5607C22semidirect
183. #5607C22semidirect
184. #5607C22semidirect
185. #5607C22semidirect
186. #5605C22semidirect
187. #5605C22semidirect
188. #5605C22semidirect
189. D3×#121C22semidirect
190. D3×#121C22semidirect
191. #5599C22semidirect
192. #5599C22semidirect
193. #5599C22semidirect
194. #5599C22semidirect
195. #5599C22semidirect
196. #5597C22semidirect
197. #5596C22semidirect
198. #5594C22semidirect
199. #5592C22semidirect
200. #5592C22semidirect
201. #5590C22semidirect
202. #5590C22semidirect
203. #5590C22semidirect
204. #5590C22semidirect
205. #5590C22semidirect
206. #5589C22semidirect
207. #5585C22semidirect
208. #5582C22semidirect
209. #5577C22semidirect
210. #5572C22semidirect
211. #5562C22semidirect
212. #5560C22semidirect
213. #5560C22semidirect
214. #5559C22semidirect
215. #5554C22semidirect
216. #5553C22semidirect
217. #5553C22semidirect
218. #5553C22semidirect
219. #5553C22semidirect
220. #5550C22semidirect
221. D4×D12C22semidirect
222. D4×D12C22semidirect
223. D4×D12C22semidirect
224. D4×D12C22semidirect
225. D4×D12C22semidirect
226. #5548C22semidirect
227. #5547C22semidirect
228. #5547C22semidirect
229. #5547C22semidirect
230. #5546C22semidirect
231. #5540C22semidirect
232. #5540C22semidirect
233. #5538C22semidirect
234. #5538C22semidirect
235. #5535C22semidirect
236. #5532C22semidirect
237. #5532C22semidirect
238. #5532C22semidirect
239. #5531C22semidirect
240. #5530C22semidirect
241. #5528C22semidirect
242. #5527C22semidirect
243. #5525C22semidirect
244. #5525C22semidirect
245. #5525C22semidirect
246. #5525C22semidirect
247. #5522C22semidirect
248. #5522C22semidirect
249. #5514C22semidirect
250. #5507C22semidirect
251. C2×#895C22semidirect
252. #5504C22semidirect
253. #5493C22semidirect
254. #5490C22semidirect
255. #5490C22semidirect
256. C2×#884C22semidirect
257. #5479C22semidirect
258. C2×#874C22semidirect
259. C4×#235C22semidirect
265. #3551D3semidirect
756. #563C2×D3semidirect
779. #560C2×D3semidirect
791. #555C2×D3semidirect
799. #553C2×D3semidirect
803. #552C2×D3semidirect
807. #551C2×D3semidirect
826. #548C2×D3semidirect
846. #546C2×D3semidirect
885. #540C2×D3semidirect
894. #538C2×D3semidirect
898. #537C2×D3semidirect
900. #536C2×D3semidirect
924. #535C2×D3semidirect
941. #532C2×D3semidirect
955. #529C2×D3semidirect
2435. C3#63066semidirect

Maximal subgroups

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

subgroupindex
C3×#35512
#871202
#871152
#870832
#869692
#869682
#869162
#868862
#868462
#868432
#868052
#867362
#867302
#866512
#866292
#864932
#864742
#864242
#863962
#863862
#863792
#863502
#863412
#863262
#863162
#862482
#862422
#861722
#861312
#630663