Finite Group Databasebeta

← #11680659

Subgroups — #11680659

Order 768.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D4×#41C211yesmaximal, characteristic, complemented
2#85787C211yesmaximal, characteristic, complemented
3C2×#5239C211yesmaximal, characteristic, complemented
4#84082C211yesmaximal, characteristic, complemented
5#84081C211yesmaximal, characteristic, complemented
6#84080C211yesmaximal, characteristic, complemented
7#83577C211yesmaximal, characteristic, complemented
8#83573C211yesmaximal, characteristic, complemented
9#83565C211yesmaximal, characteristic, complemented
10#83553C211yesmaximal, characteristic, complemented
11#83549C211yesmaximal, characteristic, complemented
12#83544C211yesmaximal, characteristic, complemented
13#83541C211yesmaximal, characteristic, complemented
14#83535C211yesmaximal, characteristic, complemented
15#83522C211yesmaximal, characteristic, complemented
16#83513C211yesmaximal, characteristic, complemented
17#83509C211yesmaximal, characteristic, complemented
18#83504C211yesmaximal, characteristic, complemented
19#83501C211yesmaximal, characteristic, complemented
20#83495C211yesmaximal, characteristic, complemented
21#83491C211yesmaximal, characteristic, complemented
22#83485C211yesmaximal, characteristic, complemented
23#83309C211yesmaximal, characteristic, complemented
24#83305C211yesmaximal, characteristic, complemented
25#82935C211yesmaximal, characteristic, complemented
26#82932C211yesmaximal, characteristic, complemented
27#82930C211yesmaximal, characteristic, complemented
28#82929C211yesmaximal, characteristic, complemented
29#82530C211yesmaximal, characteristic, complemented
30#82528C211yesmaximal, characteristic, complemented
31#82303C211yesmaximal, characteristic, complemented
32#61606—31nomaximal, Sylow
33C22×C3×#41C2211yescharacteristic
34C22×C3×#41C2211yescharacteristic, complemented
35C3×#550C2211yescharacteristic
36C3×D4×Q8C2211yescharacteristic, complemented
37C3×#548C2211yescharacteristic
38C3×#548C2211yescharacteristic, complemented
39C3×#547—21no—
40C3×#547C2211yescharacteristic
41C3×#546—21no—
42C3×#546—21no—
43C3×#546C2211yescharacteristic
44C3×#546C2211yescharacteristic, complemented
45C3×D42—21no—
46C3×D42C2211yescharacteristic, complemented
47C3×#532—21no—
48C3×#532C2211yescharacteristic, complemented
49C3×#525—21no—
50C3×#525—21no—
51C3×#525C2211yescharacteristic
52C3×#525C2211yescharacteristic, complemented
53C3×C4×#41C2211yescharacteristic, complemented
54C2×C3×C4×D4—21no—
55C2×C3×C4×D4C2211yescharacteristic
56C2×#950C2211yescharacteristic, complemented
57C2×#950C2211yescharacteristic, complemented
58C2×#949C2211yescharacteristic, complemented
59C2×#949C2211yescharacteristic, complemented
60C22×#216C2211yescharacteristic, complemented
61C2×#942C2211yescharacteristic, complemented
62#5804—21no—
63C22×#214C2211yescharacteristic, complemented
64C2×#932C2211yescharacteristic, complemented
65#5791C2211yescharacteristic, complemented
66#5791C2211yescharacteristic, complemented
67C2×#930C2211yescharacteristic, complemented
68C2×#924C2211yescharacteristic, complemented
69#5565C2211yescharacteristic
70#5565C2211yescharacteristic, complemented
71#5556—21no—
72#5556—21no—
73#5552C2211yescharacteristic
74#5552C2211yescharacteristic, complemented
75#5550C2211yescharacteristic, complemented
76#5550C2211yescharacteristic, complemented
77#5541C2211yescharacteristic, complemented
78#5541C2211yescharacteristic, complemented
79#5540—21no—
80#5540—21no—
81#5515—21no—
82#5494—21no—
83#5486—21no—
84#5479C2211yescharacteristic, complemented
85#5479C2211yescharacteristic, complemented
86#5239C2211yescharacteristic, complemented
87#5239C2211yescharacteristic, complemented
88#5239C2211yescharacteristic, complemented
89#5239C2211yescharacteristic, complemented
90#5239C2211yescharacteristic, complemented
91#5239C2211yescharacteristic, complemented
92#5239C2211yescharacteristic, complemented
93#5239C2211yescharacteristic, complemented
94#5239C2211yescharacteristic, complemented
95#5239C2211yescharacteristic, complemented
96#5239C2211yescharacteristic, complemented
97#5239C2211yescharacteristic, complemented
98#5238C2211yescharacteristic
99#5238C2211yescharacteristic
100#5238C2211yescharacteristic, complemented
101#5238C2211yescharacteristic, complemented
102#5238C2211yescharacteristic, complemented
103#5238C2211yescharacteristic, complemented
104#5238C2211yescharacteristic, complemented
105#5238C2211yescharacteristic, complemented
106#5233C2211yescharacteristic, complemented
107#5233C2211yescharacteristic, complemented
108#5232C2211yescharacteristic, complemented
109#5232C2211yescharacteristic, complemented
110#5228C2211yescharacteristic, complemented
111#5227C2211yescharacteristic, complemented
112#5227C2211yescharacteristic, complemented
113#5227C2211yescharacteristic, complemented
114#5225C2211yescharacteristic, complemented
115C2×#835C2211yescharacteristic, complemented
116#5218C2211yescharacteristic, complemented
117#5217C2211yescharacteristic, complemented
118#5217C2211yescharacteristic, complemented
119#5217C2211yescharacteristic, complemented
120#5215C2211yescharacteristic, complemented
121C2×#832C2211yescharacteristic, complemented
122#5207C2211yescharacteristic, complemented
123#5207C2211yescharacteristic, complemented
124C2×#830C2211yescharacteristic, complemented
125C2×#830C2211yescharacteristic, complemented
126#5090C2211yescharacteristic, complemented
127#5086C2211yescharacteristic, complemented
128#5083C2211yescharacteristic, complemented
129#5082C2211yescharacteristic, complemented
130#5075C2211yescharacteristic, complemented
131#5074C2211yescharacteristic, complemented
132#5072C2211yescharacteristic, complemented
133#5071C2211yescharacteristic, complemented
134#5059C2211yescharacteristic, complemented
135#5059C2211yescharacteristic, complemented
136#5057C2211yescharacteristic, complemented
137#5057C2211yescharacteristic, complemented
138#5056C2211yescharacteristic, complemented
139#5056C2211yescharacteristic, complemented
140#5054C2211yescharacteristic, complemented
141#5054C2211yescharacteristic, complemented
142#5052C2211yescharacteristic, complemented
143#5052C2211yescharacteristic, complemented
144#5052C2211yescharacteristic, complemented
145#5051C2211yescharacteristic, complemented
146#5050C2211yescharacteristic, complemented
147#5049C2211yescharacteristic, complemented
148#5048C2211yescharacteristic, complemented
149#5048C2211yescharacteristic, complemented
150#5048C2211yescharacteristic, complemented
151#5047C2211yescharacteristic, complemented
152#5047C2211yescharacteristic, complemented
153#5046C2211yescharacteristic, complemented
154#5045C2211yescharacteristic, complemented
155#5045C2211yescharacteristic, complemented
156#5044C2211yescharacteristic, complemented
157#5044C2211yescharacteristic, complemented
158#5042C2211yescharacteristic, complemented
159#5042C2211yescharacteristic, complemented
160#5042C2211yescharacteristic, complemented
161#5041C2211yescharacteristic, complemented
162#5040C2211yescharacteristic, complemented
163#5039C2211yescharacteristic, complemented
164#5038C2211yescharacteristic, complemented
165#5038C2211yescharacteristic, complemented
166#5038C2211yescharacteristic, complemented
167#5037C2211yescharacteristic, complemented
168#5037C2211yescharacteristic, complemented
169#5036C2211yescharacteristic, complemented
170#5035C2211yescharacteristic, complemented
171#5035C2211yescharacteristic, complemented
172#5034C2211yescharacteristic, complemented
173#5034C2211yescharacteristic, complemented
174#5030C2211yescharacteristic, complemented
175C4×#216C2211yescharacteristic, complemented
176#5028C2211yescharacteristic, complemented
177#5028C2211yescharacteristic, complemented
178#5026C2211yescharacteristic, complemented
179C4×#215C2211yescharacteristic, complemented
180#5022C2211yescharacteristic, complemented
181#5022C2211yescharacteristic, complemented
182#5018C2211yescharacteristic, complemented
183C4×#214C2211yescharacteristic, complemented
184#5016C2211yescharacteristic, complemented
185#5016C2211yescharacteristic, complemented
186#5014C2211yescharacteristic, complemented
187C4×#213C2211yescharacteristic, complemented
188#5012C2211yescharacteristic, complemented
189#5012C2211yescharacteristic, complemented
190#5011C2211yescharacteristic, complemented
191#5011C2211yescharacteristic, complemented
192#5011C2211yescharacteristic, complemented
193#5011C2211yescharacteristic, complemented
194D4×C3⋊C8C2211yescharacteristic, complemented
195D4×C3⋊C8C2211yescharacteristic, complemented
196#5009C2211yescharacteristic, complemented
197#5009C2211yescharacteristic, complemented
198#5003C2211yescharacteristic, complemented
199#5003C2211yescharacteristic, complemented
200#4996C2211yescharacteristic, complemented
201#4996C2211yescharacteristic, complemented
202#4926C2211yescharacteristic, complemented
203#4925C2211yescharacteristic, complemented
204#3505—31no—
205D4×#41D311yescharacteristic, complemented
206#3327—31no—
207#3323—31no—
208#3320—31no—
209#3318—31no—
210#3317—31no—
211#3315—31no—
212#3301—31no—
213#3297—31no—
214#3285—31no—
215#3282—31no—
216#3275—31no—
217#3273—31no—
218#3270—31no—
219#3268—31no—
220#3267—31no—
221#3265—31no—
222#3219—31no—
223#3212—31no—
224#3197—31no—
225#3196—31no—
226#3191—31no—
227#3188—31no—
228#3111—31no—
229#3102—31no—
230#3006—31no—
231#3005—31no—
232#3002—31no—
233C2×#452—31no—
234#2974—31no—
235C2×C3×#41—21no—
236C2×C3×#41—21no—
237C2×C3×#41—21no—
238C2×C3×#41—21no—
239C2×C3×#41—42no—
240C2×C3×#41—42no—
241C2×C3×#41—42no—
242C2×C3×#41—42no—
243C2×C3×#41C2311yescharacteristic
244C2×C3×#41C2311yescharacteristic
245C2×C3×#41C2311yescharacteristic
246C2×C3×#41C2311yescharacteristic
247C2×C3×#41C2311yescharacteristic
248C2×C3×#41C2311yescharacteristic
249C2×C3×#41C2311yescharacteristic
250C22×C3×Q8C2311yescharacteristic
251C22×C3×Q8C2311yescharacteristic
252C22×C3×D4—21no—
253C22×C3×D4—21no—
254C22×C3×D4—21no—
255C22×C3×D4D411yescharacteristic
256C22×C3×D4C2311yescharacteristic
257C22×C3×D4C2311yescharacteristic
258C23×C3×C4—21no—
259C23×C3×C4—21no—
260C23×C3×C4C2311yescharacteristic
261C23×C3×C4C2311yescharacteristic
262C22×#67—21no—
263C2×#235C2311yescharacteristic
264C2×#235C2311yescharacteristic
265C22×D12C2311yescharacteristic
266C22×Dic6C2311yescharacteristic
267C3×C4⋊Q8—21no—
268C3×C4⋊Q8C2311yescharacteristic
269C3×#127—21no—
270C3×#127C2311yescharacteristic
271C3×#124—21no—
272C3×#124—21no—
273C3×#124C2311yescharacteristic
274C3×#124C2311yescharacteristic
275C3×#123—21no—
276C3×#123—21no—
277C3×#123—21no—
278C3×#123—21no—
279C3×#123—21no—
280C3×#123—21no—
281C3×C22⋊Q8—21no—
282C3×C22⋊Q8—21no—
283C3×C22⋊Q8—21no—
284C3×C22⋊Q8—21no—
285C3×C22⋊Q8C2311yescharacteristic
286C3×C22⋊Q8C2311yescharacteristic
287C3×C22⋊Q8C2311yescharacteristic
288C3×C22⋊Q8C2311yescharacteristic
289C3×#121—21no—
290C3×#121—21no—
291C3×#121—21no—
292C3×#121—21no—
293C3×#121—21no—
294C3×#121—21no—
295C3×#121—21no—
296C3×#121—21no—
297C3×#121—21no—
298C3×#121—21no—
299C3×#121C2311yescharacteristic
300C3×#121C2311yescharacteristic
301C3×#121C2311yescharacteristic
302C3×#121C2311yescharacteristic
303C3×#120—21no—
304C3×#120—21no—
305C3×#120—21no—
306C3×#120—21no—
307C3×#120—21no—
308C3×#120—21no—
309C3×C4×Q8C2311yescharacteristic
310C3×C4×Q8C2311yescharacteristic
311C3×C4×D4—21no—
312C3×C4×D4—21no—
313C3×C4×D4—21no—
314C3×C4×D4—21no—
315C3×C4×D4—21no—
316C3×C4×D4—21no—
317C3×C4×D4—21no—
318C3×C4×D4—21no—
319C3×C4×D4—21no—
320C3×C4×D4—21no—
321C3×C4×D4—21no—
322C3×C4×D4—21no—
323C3×C4×D4D411yescharacteristic
324C3×C4×D4D411yescharacteristic
325C3×C4×D4D411yescharacteristic
326C3×C4×D4D411yescharacteristic
327C3×C4×D4C2311yescharacteristic
328C3×C4×D4C2311yescharacteristic
329C3×C4×D4C2311yescharacteristic
330C3×C4×D4C2311yescharacteristic
331C3×C4×D4C2311yescharacteristic
332C3×C4×D4C2311yescharacteristic
333C3×#117—21no—
334C3×#117C2311yescharacteristic
335C2×C3×C4⋊C4—21no—
336C2×C3×C4⋊C4D411yescharacteristic
337C2×C3×C22⋊C4—21no—
338C2×C3×C22⋊C4—21no—
339C2×C3×C22⋊C4D411yescharacteristic
340C2×C3×C22⋊C4D411yescharacteristic
341C2×C3×C42—21no—
342C2×C3×C42C2311yescharacteristic
343#953—21no—
344#953—21no—
345C2×#217—21no—
346#950—42no—
347#950—42no—
348#949—42no—
349#949—42no—
350C2×#216—42no—
351C2×#216C2311yescharacteristic
352C2×#216C2311yescharacteristic
353C2×#216C2311yescharacteristic
354C2×#216C2311yescharacteristic
355C2×#216C2311yescharacteristic
356C2×#216C2311yescharacteristic
357#942—42no—
358C2×#215C2311yescharacteristic
359C2×#215C2311yescharacteristic
360C2×#215C2311yescharacteristic
361C2×#215C2311yescharacteristic
362C2×#215C2311yescharacteristic
363C2×#215C2311yescharacteristic
364#939—21no—
365#939—21no—
366#939—21no—
367#939—21no—
368#937—21no—
369#937—21no—
370#935—21no—
371#935—21no—
372C2×#214—42no—
373C2×#214C2311yescharacteristic
374C2×#214C2311yescharacteristic
375C2×#214C2311yescharacteristic
376C2×#214C2311yescharacteristic
377C2×#214C2311yescharacteristic
378C2×#214C2311yescharacteristic
379#932—42no—
380C2×#213C2311yescharacteristic
381C2×#213C2311yescharacteristic
382C2×#213C2311yescharacteristic
383C2×#213C2311yescharacteristic
384C2×#213C2311yescharacteristic
385C2×#213C2311yescharacteristic
386#930—21no—
387#930—21no—
388#930C2311yescharacteristic
389#930C2311yescharacteristic
390#930C2311yescharacteristic
391#930C2311yescharacteristic
392#930C2311yescharacteristic
393#930C2311yescharacteristic
394#929—21no—
395#929—21no—
396#929—21no—
397#929—21no—
398C4×#67—21no—
399C4×#67—21no—
400C4×#67—21no—
401C4×#67—21no—
402C4×#67—21no—
403C4×#67—21no—
404C2×(C2×D3)⋊C4—21no—
405#926C2311yescharacteristic
406#926C2311yescharacteristic
407C2×C4⋊Dic3C2311yescharacteristic
408C2×C4⋊Dic3C2311yescharacteristic
409#924—21no—
410#924—21no—
411#924C2311yescharacteristic
412#924C2311yescharacteristic
413#924C2311yescharacteristic
414#924C2311yescharacteristic
415#924C2311yescharacteristic
416#924C2311yescharacteristic
417C2×Dic3⋊C4—21no—
418C2×#208C2311yescharacteristic
419C2×#208C2311yescharacteristic
420C2×#208C2311yescharacteristic
421C2×#208C2311yescharacteristic
422C22×C3⋊C8C2311yescharacteristic
423C22×C3⋊C8C2311yescharacteristic
424C22×C3⋊C8C2311yescharacteristic
425C22×C3⋊C8C2311yescharacteristic
426#898—21no—
427#898—21no—
428#896—21no—
429#896—21no—
430#894—21no—
431#894—21no—
432#889—21no—
433#889—21no—
434#885—21no—
435#885—21no—
436#884—21no—
437#884—21no—
438#883—21no—
439#883—21no—
440#67⋊C4—21no—
441#67⋊C4—21no—
442#67⋊C4—21no—
443#67⋊C4—21no—
444D3×C22⋊C4—21no—
445D3×C22⋊C4—21no—
446#879—21no—
447#879—21no—
448#877—21no—
449#877—21no—
450#876—21no—
451#876—21no—
452#875C2311yescharacteristic
453#875C2311yescharacteristic
454C4×D12C2311yescharacteristic
455C4×D12C2311yescharacteristic
456#872—21no—
457#872—21no—
458#870C2311yescharacteristic
459#870C2311yescharacteristic
460C4×Dic6C2311yescharacteristic
461C4×Dic6C2311yescharacteristic
462#835C2311yescharacteristic
463#835C2311yescharacteristic
464#835C2311yescharacteristic
465#835C2311yescharacteristic
466#835C2311yescharacteristic
467#835C2311yescharacteristic
468#835C2311yescharacteristic
469#835C2311yescharacteristic
470#835C2311yescharacteristic
471#835C2311yescharacteristic
472#835C2311yescharacteristic
473#835C2311yescharacteristic
474#832C2311yescharacteristic
475#832C2311yescharacteristic
476#832C2311yescharacteristic
477#832C2311yescharacteristic
478#832C2311yescharacteristic
479#832C2311yescharacteristic
480#832C2311yescharacteristic
481#832C2311yescharacteristic
482#832C2311yescharacteristic
483#832C2311yescharacteristic
484#832C2311yescharacteristic
485#832C2311yescharacteristic
486#830C2311yescharacteristic
487#830C2311yescharacteristic
488#830C2311yescharacteristic
489#830C2311yescharacteristic
490#830C2311yescharacteristic
491#830C2311yescharacteristic
492#830C2311yescharacteristic
493#830C2311yescharacteristic
494#830C2311yescharacteristic
495#830C2311yescharacteristic
496#830C2311yescharacteristic
497#830C2311yescharacteristic
498#810C2311yescharacteristic
499#810C2311yescharacteristic
500#810C2311yescharacteristic
501#810C2311yescharacteristic
502#809C2311yescharacteristic
503#809C2311yescharacteristic
504#809C2311yescharacteristic
505#809C2311yescharacteristic
506#808C2311yescharacteristic
507#808C2311yescharacteristic
508#808C2311yescharacteristic
509#808C2311yescharacteristic
510#807C2311yescharacteristic
511#807C2311yescharacteristic
512#807C2311yescharacteristic
513#807C2311yescharacteristic
514C4⋊(C3⋊C8)C2311yescharacteristic
515C4⋊(C3⋊C8)C2311yescharacteristic
516C4⋊(C3⋊C8)C2311yescharacteristic
517C4⋊(C3⋊C8)C2311yescharacteristic
518#803C2311yescharacteristic
519#803C2311yescharacteristic
520C4×C3⋊C8C2311yescharacteristic
521C4×C3⋊C8C2311yescharacteristic
522C22×#41C2×D311yescharacteristic
523C22×#41C2×D311yescharacteristic, complemented
524C2×#137—31no—
525C2×AGL(1,ℤ/8)—31no—
526C2×AGL(1,ℤ/8)—31no—
527C2×AGL(1,ℤ/8)—31no—
528C2×#135—31no—
529C2×#135—31no—
530C22×Q16—31no—
531C22×SD16—31no—
532#553—31no—
533#553—31no—
534#553—61no—
535#553—61no—
536#552—31no—
537#552—31no—
538#551—61no—
539#551—61no—
540#550C2×D311yescharacteristic
541D4×Q8C2×D311yescharacteristic, complemented
542#548—31no—
543#548—31no—
544#548C2×D311yescharacteristic
545#548C2×D311yescharacteristic, complemented
546#547—21no—
547#547C2×D311yescharacteristic
548#546—21no—
549#546—21no—
550#546—31no—
551#546—31no—
552#546C2×D311yescharacteristic
553#546C2×D311yescharacteristic, complemented
554D42—21no—
555D42C2×D311yescharacteristic, complemented
556#539—61no—
557#538—61no—
558#534—61no—
559#532—21no—
560#532C2×D311yescharacteristic, complemented
561#529—31no—
562#529—31no—
563#525—21no—
564#525—21no—
565#525—31no—
566#525—31no—
567#525C2×D311yescharacteristic
568#525C2×D311yescharacteristic, complemented
569C2×C22⋊Q8—31no—
570C2×#121—31no—
571#518—61no—
572C4×#41C2×D311yescharacteristic, complemented
573C2×C4×D4—21no—
574C2×C4×D4C2×D311yescharacteristic
575#497—31no—
576#496—31no—
577#495—31no—
578#495—31no—
579#491—31no—
580#490—31no—
581#488—31no—
582#488—31no—
583#485—31no—
584#485—31no—
585#485—31no—
586#485—31no—
587#484—31no—
588#484—31no—
589#482—31no—
590#482—31no—
591#482—31no—
592#482—31no—
593#481—31no—
594#481—31no—
595#479—31no—
596#479—31no—
597#478—31no—
598#478—31no—
599#470—31no—
600#470—31no—
601#470—31no—
602#469—31no—
603#468—31no—
604#468—31no—
605#468—31no—
606#468—31no—
607#467—31no—
608#466—31no—
609#466—31no—
610#466—31no—
611#465—31no—
612#465—31no—
613#465—31no—
614#465—31no—
615#464—31no—
616#464—31no—
617#464—31no—
618#464—31no—
619#463—31no—
620#463—31no—
621#463—31no—
622#463—31no—
623#462—31no—
624#461—31no—
625#460—31no—
626#459—31no—
627#452—31no—
628#452—31no—
629#452—31no—
630#452—31no—
631#452—31no—
632#452—31no—
633#452—31no—
634#452—31no—
635#452—31no—
636#452—31no—
637#452—31no—
638#452—31no—
639#452—31no—
640#452—31no—
641#451—31no—
642#451—31no—
643#450—31no—
644#450—31no—
645#449—31no—
646#449—31no—
647#449—31no—
648#449—31no—
649#449—31no—
650#449—31no—
651#449—31no—
652#449—31no—
653#449—31no—
654#449—31no—
655#448—31no—
656#448—31no—
657#448—31no—
658#448—31no—
659#447—31no—
660#447—31no—
661#447—31no—
662#447—31no—
663#442—31no—
664#441—31no—
665#440—31no—
666#440—31no—
667C4×Q16—31no—
668C4×SD16—31no—
669C4×SD16—31no—
670C4×D8—31no—
671#436—31no—
672#436—31no—
673#435—31no—
674#435—31no—
675#435—31no—
676#435—31no—
677C8×D4—31no—
678C8×D4—31no—
679#432—31no—
680#431—31no—
681#419—31no—
682#418—31no—
683#417—31no—
684#417—31no—
685#416—31no—
686#416—31no—
687C2×#103—31no—
688C2×#102—31no—
689#407—31no—
690#407—31no—
691C2×C22⋊C8—31no—
692C2×C22⋊C8—31no—
693C24×C3—21no—
694C24×C3—21no—
695C24×C3C2×D411yescharacteristic
696C24×C3C2×D411yescharacteristic
697C23×D3—21no—
698C3×#41—22no—
699C3×#41—22no—
700C3×#41—22no—
701C3×#41—22no—
702C3×#41—22no—
703C3×#41—22no—
704C3×#41—41no—
705C3×#41—41no—
706C3×#41—41no—
707C3×#41—41no—
708C3×#41—41no—
709C3×#41—41no—
710C3×#41—41no—
711C3×#41—41no—
712C3×#41—44no—
713C3×#41—44no—
714C3×#41—44no—
715C3×#41—44no—
716C2×C3×Q8—21no—
717C2×C3×Q8—21no—
718C2×C3×Q8—22no—
719C2×C3×Q8—22no—
720C2×C3×Q8—41no—
721C2×C3×Q8—41no—
722C2×C3×Q8C2411yescharacteristic
723C2×C3×Q8C2411yescharacteristic
724C2×C3×Q8C2411yescharacteristic
725C2×C3×D4—21no—
726C2×C3×D4—22no—
727C2×C3×D4—22no—
728C2×C3×D4—21no—
729C2×C3×D4—21no—
730C2×C3×D4—21no—
731C2×C3×D4—21no—
732C2×C3×D4—21no—
733C2×C3×D4—21no—
734C2×C3×D4—21no—
735C2×C3×D4—21no—
736C2×C3×D4—21no—
737C2×C3×D4—21no—
738C2×C3×D4—21no—
739C2×C3×D4—21no—
740C2×C3×D4—21no—
741C2×C3×D4—21no—
742C2×C3×D4—41no—
743C2×C3×D4—41no—
744C2×C3×D4—42no—
745C2×C3×D4—44no—
746C2×C3×D4—44no—
747C2×C3×D4—44no—
748C2×C3×D4C2×D411yescharacteristic
749C2×C3×D4C2×D411yescharacteristic
750C2×C3×D4C2×D411yescharacteristic
751C2×C3×D4C2×D411yescharacteristic
752C2×C3×D4C2411yescharacteristic
753C2×C3×D4C2411yescharacteristic
754C2×C3×D4C2411yescharacteristic
755C22×C3×C4—21no—
756C22×C3×C4—21no—
757C22×C3×C4—21no—
758C22×C3×C4—21no—
759C22×C3×C4—21no—
760C22×C3×C4—21no—
761C22×C3×C4—21no—
762C22×C3×C4—21no—
763C22×C3×C4—21no—
764C22×C3×C4—21no—
765C22×C3×C4—21no—
766C22×C3×C4—41no—
767C22×C3×C4—41no—
768C22×C3×C4—41no—
769C22×C3×C4—41no—
770C22×C3×C4—44no—
771C22×C3×C4—44no—
772C22×C3×C4C2×D411yescharacteristic
773C22×C3×C4C2×D411yescharacteristic
774C22×C3×C4C2×D411yescharacteristic
775C22×C3×C4C2×D411yescharacteristic
776C22×C3×C4C2×D411yescharacteristic
777C22×C3×C4C2×D411yescharacteristic
778C22×C3×C4C2×D411yescharacteristic
779C22×C3×C4C2×D411yescharacteristic
780C22×C3×C4C2411yescharacteristic
781C22×C3×C4C2411yescharacteristic
782C22×C3×C4C2411yescharacteristic
783C22×C3×C4C2411yescharacteristic
784C22×C3×C4C2411yescharacteristic
785C2×#67—21no—
786C2×#67—21no—
787C2×#67—21no—
788C2×#67—21no—
789C2×#67—21no—
790C2×#67—21no—
791C2×#67—21no—
792C2×#67—21no—
793C2×#67—44no—
794C22×Dic3—21no—
795C22×Dic3—21no—
796C22×Dic3—21no—
797#235—41no—
798#235—41no—
799#235—41no—
800#235—41no—
801C2×D12—21no—
802C2×D12—41no—
803C2×D12—41no—
804C2×D12C2411yescharacteristic
805C2×D12C2411yescharacteristic
806C2×C4×D3—21no—
807C2×C4×D3—21no—
808C2×C4×D3—21no—
809C2×C4×D3—21no—
810C2×Dic6—21no—
811C2×Dic6—41no—
812C2×Dic6—41no—
813C2×Dic6C2411yescharacteristic
814C2×Dic6C2411yescharacteristic
815C3×C4⋊C4—21no—
816C3×C4⋊C4—21no—
817C3×C4⋊C4—21no—
818C3×C4⋊C4—21no—
819C3×C4⋊C4—21no—
820C3×C4⋊C4—21no—
821C3×C4⋊C4—21no—
822C3×C4⋊C4—21no—
823C3×C4⋊C4C2×D411yescharacteristic
824C3×C4⋊C4C2×D411yescharacteristic
825C3×C4⋊C4C2×D411yescharacteristic
826C3×C4⋊C4C2×D411yescharacteristic
827C3×C4⋊C4C2411yescharacteristic
828C3×C4⋊C4C2411yescharacteristic
829C3×C22⋊C4—21no—
830C3×C22⋊C4—21no—
831C3×C22⋊C4—21no—
832C3×C22⋊C4—21no—
833C3×C22⋊C4—21no—
834C3×C22⋊C4—21no—
835C3×C22⋊C4—21no—
836C3×C22⋊C4—21no—
837C3×C22⋊C4—21no—
838C3×C22⋊C4—21no—
839C3×C22⋊C4—21no—
840C3×C22⋊C4—21no—
841C3×C22⋊C4—21no—
842C3×C22⋊C4—21no—
843C3×C22⋊C4—21no—
844C3×C22⋊C4C2×D411yescharacteristic
845C3×C22⋊C4C2×D411yescharacteristic
846C3×C22⋊C4C2×D411yescharacteristic
847C3×C22⋊C4C2×D411yescharacteristic
848C3×C22⋊C4C2×D411yescharacteristic
849C3×C22⋊C4C2×D411yescharacteristic
850C3×C22⋊C4C2×D411yescharacteristic
851C3×C22⋊C4C2×D411yescharacteristic
852C3×C42—21no—
853C3×C42—21no—
854C3×C42—21no—
855C3×C42C2×D411yescharacteristic
856C3×C42C2×D411yescharacteristic
857C3×C42C2411yescharacteristic
858C3×C42C2411yescharacteristic
859#217—21no—
860#217—21no—
861#217—21no—
862#217—21no—
863#217—21no—
864#217—21no—
865#217—21no—
866#217—21no—
867#216—22no—
868#216—22no—
869#216—41no—
870#216—41no—
871#216—41no—
872#216—41no—
873#215—22no—
874#215—22no—
875#215—41no—
876#215—41no—
877#215—41no—
878#215—41no—
879#214—22no—
880#214—22no—
881#214—41no—
882#214—41no—
883#214—41no—
884#214—41no—
885#213—22no—
886#213—22no—
887#213—41no—
888#213—41no—
889#213—41no—
890#213—41no—
891(C2×D3)⋊C4—21no—
892(C2×D3)⋊C4—21no—
893(C2×D3)⋊C4—21no—
894(C2×D3)⋊C4—21no—
895(C2×D3)⋊C4—21no—
896(C2×D3)⋊C4—21no—
897(C2×D3)⋊C4—21no—
898(C2×D3)⋊C4—21no—
899(C2×D3)⋊C4—21no—
900(C2×D3)⋊C4—21no—
901(C2×D3)⋊C4—21no—
902(C2×D3)⋊C4—21no—
903C4⋊Dic3—21no—
904C4⋊Dic3—21no—
905C4⋊Dic3C2411yescharacteristic
906C4⋊Dic3C2411yescharacteristic
907C4⋊Dic3C2411yescharacteristic
908C4⋊Dic3C2411yescharacteristic
909Dic3⋊C4—21no—
910Dic3⋊C4—21no—
911Dic3⋊C4—21no—
912Dic3⋊C4—21no—
913Dic3⋊C4—21no—
914Dic3⋊C4—21no—
915Dic3⋊C4—21no—
916Dic3⋊C4—21no—
917Dic3⋊C4—21no—
918Dic3⋊C4—21no—
919Dic3⋊C4—21no—
920Dic3⋊C4—21no—
921C4×Dic3—21no—
922C4×Dic3—21no—
923C4×Dic3—21no—
924C4×Dic3—21no—
925#208—41no—
926#208—41no—
927#208—41no—
928#208—41no—
929C2×C3⋊C8—41no—
930C2×C3⋊C8—41no—
931C2×C3⋊C8—41no—
932C2×C3⋊C8—41no—
933C2×C3⋊C8C2411yescharacteristic
934C2×C3⋊C8C2411yescharacteristic
935C2×C3⋊C8C2411yescharacteristic
936C2×C3⋊C8C2411yescharacteristic
937C2×C3⋊C8C2411yescharacteristic
938C2×C3⋊C8C2411yescharacteristic
939C2×C3⋊C8C2411yescharacteristic
940C2×C3⋊C8C2411yescharacteristic
941C2×#41—21no—
942C2×#41—21no—
943C2×#41—21no—
944C2×#41—21no—
945C2×#41—31no—
946C2×#41—31no—
947C2×#41—42no—
948C2×#41—42no—
949C2×#41—42no—
950C2×#41—42no—
951C2×#41C22×D311yescharacteristic
952C2×#41C22×D311yescharacteristic
953C2×#41C22×D311yescharacteristic
954C2×#41C22×D311yescharacteristic
955C2×#41C22×D311yescharacteristic
956C2×#41C22×D311yescharacteristic
957C2×#41C22×D311yescharacteristic
958C22×Q8—31no—
959C22×Q8C22×D311yescharacteristic
960C22×Q8C22×D311yescharacteristic
961C22×D4—21no—
962C22×D4—21no—
963C22×D4—21no—
964C22×D4—31no—
965C22×D4—61no—
966C22×D4#6711yescharacteristic
967C22×D4C22×D311yescharacteristic
968C22×D4C22×D311yescharacteristic
969C23×C4—21no—
970C23×C4—21no—
971C23×C4C22×D311yescharacteristic
972C23×C4C22×D311yescharacteristic
973#137—122no—
974AGL(1,ℤ/8)—122no—
975AGL(1,ℤ/8)—122no—
976AGL(1,ℤ/8)—122no—
977#135—122no—
978#135—122no—
979C2×Q16—31no—
980C2×Q16—31no—
981C2×Q16—31no—
982C2×Q16—31no—
983C2×Q16—31no—
984C2×Q16—31no—
985C2×Q16—122no—
986C2×SD16—31no—
987C2×SD16—31no—
988C2×SD16—31no—
989C2×SD16—31no—
990C2×SD16—31no—
991C2×SD16—31no—
992C2×SD16—31no—
993C2×SD16—31no—
994C2×SD16—31no—
995C2×SD16—31no—
996C2×SD16—31no—
997C2×SD16—31no—
998C2×SD16—122no—
999C2×D8—31no—
1000C2×D8—31no—
1001C2×D8—31no—
1002C2×D8—31no—
1003C2×D8—31no—
1004C2×D8—31no—
1005C2×M16—31no—
1006C2×M16—31no—
1007C2×M16—31no—
1008C2×M16—31no—
1009C22×C8—31no—
1010C22×C8—31no—
1011C22×C8—31no—
1012C22×C8—31no—
1013C4⋊Q8—21no—
1014C4⋊Q8C22×D311yescharacteristic
1015#127—21no—
1016#127C22×D311yescharacteristic
1017#126—61no—
1018#126—61no—
1019#126—61no—
1020#126—61no—
1021#126—61no—
1022#126—61no—
1023#125—31no—
1024#125—31no—
1025#125—61no—
1026#125—61no—
1027#124—21no—
1028#124—21no—
1029#124—31no—
1030#124—31no—
1031#124—61no—
1032#124—61no—
1033#124C22×D311yescharacteristic
1034#124C22×D311yescharacteristic
1035#123—21no—
1036#123—21no—
1037#123—21no—
1038#123—21no—
1039#123—21no—
1040#123—21no—
1041#123—61no—
1042#123—61no—
1043#123—61no—
1044#123—61no—
1045#123—61no—
1046#123—61no—
1047#123—61no—
1048#123—61no—
1049#123—61no—
1050#123—61no—
1051C22⋊Q8—21no—
1052C22⋊Q8—21no—
1053C22⋊Q8—21no—
1054C22⋊Q8—21no—
1055C22⋊Q8—31no—
1056C22⋊Q8—31no—
1057C22⋊Q8—31no—
1058C22⋊Q8—31no—
1059C22⋊Q8—31no—
1060C22⋊Q8—31no—
1061C22⋊Q8—61no—
1062C22⋊Q8—61no—
1063C22⋊Q8—61no—
1064C22⋊Q8—61no—
1065C22⋊Q8C22×D311yescharacteristic
1066C22⋊Q8C22×D311yescharacteristic
1067C22⋊Q8C22×D311yescharacteristic
1068C22⋊Q8C22×D311yescharacteristic
1069#121—21no—
1070#121—21no—
1071#121—21no—
1072#121—21no—
1073#121—21no—
1074#121—21no—
1075#121—21no—
1076#121—21no—
1077#121—21no—
1078#121—21no—
1079#121—31no—
1080#121—31no—
1081#121—31no—
1082#121—31no—
1083#121—31no—
1084#121—31no—
1085#121—61no—
1086#121—61no—
1087#121—61no—
1088#121—61no—
1089#121—61no—
1090#121—61no—
1091#121—61no—
1092#121—61no—
1093#121C22×D311yescharacteristic
1094#121C22×D311yescharacteristic
1095#121C22×D311yescharacteristic
1096#121C22×D311yescharacteristic
1097#120—21no—
1098#120—21no—
1099#120—21no—
1100#120—21no—
1101#120—21no—
1102#120—21no—
1103#120—61no—
1104#120—61no—
1105#120—61no—
1106#120—61no—
1107C4×Q8—31no—
1108C4×Q8—31no—
1109C4×Q8C22×D311yescharacteristic
1110C4×Q8C22×D311yescharacteristic
1111C4×D4—21no—
1112C4×D4—21no—
1113C4×D4—21no—
1114C4×D4—21no—
1115C4×D4—21no—
1116C4×D4—21no—
1117C4×D4—21no—
1118C4×D4—21no—
1119C4×D4—21no—
1120C4×D4—21no—
1121C4×D4—21no—
1122C4×D4—21no—
1123C4×D4—31no—
1124C4×D4—31no—
1125C4×D4—61no—
1126C4×D4—61no—
1127C4×D4—61no—
1128C4×D4—61no—
1129C4×D4—61no—
1130C4×D4—61no—
1131C4×D4—61no—
1132C4×D4—61no—
1133C4×D4—61no—
1134C4×D4—61no—
1135C4×D4#6711yescharacteristic
1136C4×D4#6711yescharacteristic
1137C4×D4#6711yescharacteristic
1138C4×D4#6711yescharacteristic
1139C4×D4C22×D311yescharacteristic
1140C4×D4C22×D311yescharacteristic
1141C4×D4C22×D311yescharacteristic
1142C4×D4C22×D311yescharacteristic
1143C4×D4C22×D311yescharacteristic
1144C4×D4C22×D311yescharacteristic
1145#117—21no—
1146#117—31no—
1147#117—31no—
1148#117—61no—
1149#117—61no—
1150#117—61no—
1151#117—61no—
1152#117C22×D311yescharacteristic
1153C2×C4⋊C4—21no—
1154C2×C4⋊C4—31no—
1155C2×C4⋊C4—31no—
1156C2×C4⋊C4—61no—
1157C2×C4⋊C4#6711yescharacteristic
1158C2×C22⋊C4—21no—
1159C2×C22⋊C4—21no—
1160C2×C22⋊C4—61no—
1161C2×C22⋊C4—61no—
1162C2×C22⋊C4—61no—
1163C2×C22⋊C4—61no—
1164C2×C22⋊C4#6711yescharacteristic
1165C2×C22⋊C4#6711yescharacteristic
1166C2×C42—21no—
1167C2×C42C22×D311yescharacteristic
1168#107—31no—
1169#107—31no—
1170#107—31no—
1171#107—31no—
1172#106—31no—
1173#106—31no—
1174#106—31no—
1175#106—31no—
1176C4⋊C8—31no—
1177C4⋊C8—31no—
1178C4⋊C8—31no—
1179C4⋊C8—31no—
1180#103—31no—
1181#103—31no—
1182#103—31no—
1183#103—31no—
1184#103—31no—
1185#103—31no—
1186#103—31no—
1187#103—31no—
1188#103—31no—
1189#103—31no—
1190#103—31no—
1191#103—31no—
1192#103—31no—
1193#103—31no—
1194#103—31no—
1195#103—31no—
1196#102—31no—
1197#102—31no—
1198#102—31no—
1199#102—31no—
1200#102—31no—
1201#102—31no—
1202#102—31no—
1203#102—31no—
1204#102—31no—
1205#102—31no—
1206#102—31no—
1207#102—31no—
1208#102—31no—
1209#102—31no—
1210#102—31no—
1211#102—31no—
1212C22⋊C8—31no—
1213C22⋊C8—31no—
1214C22⋊C8—31no—
1215C22⋊C8—31no—
1216C22⋊C8—31no—
1217C22⋊C8—31no—
1218C22⋊C8—31no—
1219C22⋊C8—31no—
1220C22⋊C8—31no—
1221C22⋊C8—31no—
1222C22⋊C8—31no—
1223C22⋊C8—31no—
1224#97—31no—
1225#97—31no—
1226C4×C8—31no—
1227C4×C8—31no—
1228C23×C3—21no—
1229C23×C3—22no—
1230C23×C3—21no—
1231C23×C3—21no—
1232C23×C3—41no—
1233C23×C3—41no—
1234C23×C3—41no—
1235C23×C3—41no—
1236C23×C3—41no—
1237C23×C3—42no—
1238C23×C3—42no—
1239C23×C3—42no—
1240C23×C3—42no—
1241C23×C3—81no—
1242C23×C3—81no—
1243C23×C3C22×D411yescharacteristic
1244C23×C3C22×D411yescharacteristic
1245C23×C3C22×D411yescharacteristic
1246C23×C3C22×D411yescharacteristic
1247C23×C3C22×D411yescharacteristic
1248C22×D3—21no—
1249C22×D3—21no—
1250C22×D3—42no—
1251C22×D3—81no—
1252C22×D3—81no—
1253C3×Q8—21no—
1254C3×Q8—21no—
1255C3×Q8—21no—
1256C3×Q8—21no—
1257C3×Q8—21no—
1258C3×Q8—42no—
1259C3×Q8—42no—
1260C3×Q8H(5,𝔽2)12yes—
1261C3×D4—24no—
1262C3×D4—22no—
1263C3×D4—22no—
1264C3×D4—21no—
1265C3×D4—21no—
1266C3×D4—21no—
1267C3×D4—21no—
1268C3×D4—21no—
1269C3×D4—41no—
1270C3×D4—41no—
1271C3×D4—42no—
1272C3×D4—42no—
1273C3×D4—42no—
1274C3×D4—42no—
1275C3×D4—42no—
1276C3×D4—42no—
1277C3×D4—42no—
1278C3×D4—42no—
1279C3×D4—42no—
1280C3×D4—42no—
1281C3×D4—42no—
1282C3×D4—81no—
1283C3×D4—81no—
1284C3×D4—81no—
1285C3×D4H(5,𝔽2)12yes—
1286C2×C3×C4—24no—
1287C2×C3×C4—21no—
1288C2×C3×C4—21no—
1289C2×C3×C4—21no—
1290C2×C3×C4—21no—
1291C2×C3×C4—21no—
1292C2×C3×C4—21no—
1293C2×C3×C4—21no—
1294C2×C3×C4—21no—
1295C2×C3×C4—21no—
1296C2×C3×C4—21no—
1297C2×C3×C4—21no—
1298C2×C3×C4—21no—
1299C2×C3×C4—21no—
1300C2×C3×C4—21no—
1301C2×C3×C4—21no—
1302C2×C3×C4—41no—
1303C2×C3×C4—41no—
1304C2×C3×C4—41no—
1305C2×C3×C4—41no—
1306C2×C3×C4—41no—
1307C2×C3×C4—41no—
1308C2×C3×C4—41no—
1309C2×C3×C4—41no—
1310C2×C3×C4—42no—
1311C2×C3×C4—42no—
1312C2×C3×C4—42no—
1313C2×C3×C4—42no—
1314C2×C3×C4—42no—
1315C2×C3×C4—42no—
1316C2×C3×C4—42no—
1317C2×C3×C4—42no—
1318C2×C3×C4—42no—
1319C2×C3×C4—81no—
1320C2×C3×C4C22×D411yescharacteristic
1321C2×C3×C4C22×D411yescharacteristic
1322C2×C3×C4C22×D411yescharacteristic
1323C2×C3×C4C22×D411yescharacteristic
1324C2×C3×C4C22×D411yescharacteristic
1325C2×C3×C4C22×D411yescharacteristic
1326C2×C3×C4C22×D411yescharacteristic
1327C2×C3×C4C22×D411yescharacteristic
1328C2×C3×C4C22×D411yescharacteristic
1329C2×C3×C4C2511yescharacteristic
1330#67—42no—
1331#67—42no—
1332#67—42no—
1333#67—42no—
1334#67—81no—
1335#67—81no—
1336#67—81no—
1337#67—81no—
1338C2×Dic3—21no—
1339C2×Dic3—21no—
1340C2×Dic3—21no—
1341C2×Dic3—21no—
1342C2×Dic3—21no—
1343C2×Dic3—21no—
1344C2×Dic3—42no—
1345C2×Dic3—81no—
1346C2×Dic3—81no—
1347D12—21no—
1348D12—21no—
1349D12—21no—
1350D12—21no—
1351D12—81no—
1352C4×D3—81no—
1353C4×D3—81no—
1354C4×D3—81no—
1355C4×D3—81no—
1356Dic6—21no—
1357Dic6—21no—
1358Dic6—21no—
1359Dic6—21no—
1360Dic6—81no—
1361C3⋊C8—21no—
1362C3⋊C8—21no—
1363C3⋊C8—21no—
1364C3⋊C8—21no—
1365C3⋊C8—21no—
1366C3⋊C8—21no—
1367C3⋊C8—21no—
1368C3⋊C8—21no—
1369C24—21no—
1370C24—21no—
1371C24—61no—
1372C24C2×#6711yescharacteristic
1373C24C2×#6711yescharacteristic
1374#41—22no—
1375#41—22no—
1376#41—22no—
1377#41—22no—
1378#41—22no—
1379#41—22no—
1380#41—41no—
1381#41—41no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—41no—
1387#41—41no—
1388#41—44no—
1389#41—44no—
1390#41—44no—
1391#41—44no—
1392#41—121no—
1393#41—121no—
1394#41—121no—
1395#41—121no—
1396C2×Q8—21no—
1397C2×Q8—21no—
1398C2×Q8—22no—
1399C2×Q8—22no—
1400C2×Q8—31no—
1401C2×Q8—31no—
1402C2×Q8—41no—
1403C2×Q8—41no—
1404C2×Q8—61no—
1405C2×Q8—121no—
1406C2×Q8—121no—
1407C2×Q8C23×D311yescharacteristic
1408C2×Q8C23×D311yescharacteristic
1409C2×Q8C23×D311yescharacteristic
1410C2×D4—21no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—31no—
1428C2×D4—31no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—42no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—61no—
1436C2×D4—61no—
1437C2×D4—61no—
1438C2×D4—61no—
1439C2×D4—61no—
1440C2×D4—61no—
1441C2×D4—61no—
1442C2×D4—61no—
1443C2×D4—61no—
1444C2×D4—121no—
1445C2×D4—121no—
1446C2×D4—124no—
1447C2×D4C2×#6711yescharacteristic
1448C2×D4C2×#6711yescharacteristic
1449C2×D4C2×#6711yescharacteristic
1450C2×D4C2×#6711yescharacteristic
1451C2×D4C23×D311yescharacteristic
1452C2×D4C23×D311yescharacteristic
1453C2×D4C23×D311yescharacteristic
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—41no—
1466C22×C4—41no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—61no—
1472C22×C4—61no—
1473C22×C4—61no—
1474C22×C4—61no—
1475C22×C4—61no—
1476C22×C4—61no—
1477C22×C4—61no—
1478C22×C4C2×#6711yescharacteristic
1479C22×C4C2×#6711yescharacteristic
1480C22×C4C2×#6711yescharacteristic
1481C22×C4C2×#6711yescharacteristic
1482C22×C4C2×#6711yescharacteristic
1483C22×C4C2×#6711yescharacteristic
1484C22×C4C2×#6711yescharacteristic
1485C22×C4C2×#6711yescharacteristic
1486C22×C4C23×D311yescharacteristic
1487C22×C4C23×D311yescharacteristic
1488C22×C4C23×D311yescharacteristic
1489C22×C4C23×D311yescharacteristic
1490C22×C4C23×D311yescharacteristic
1491Q16—62no—
1492Q16—62no—
1493Q16—121no—
1494Q16—121no—
1495Q16—121no—
1496Q16—121no—
1497SD16—62no—
1498SD16—62no—
1499SD16—62no—
1500SD16—62no—
1501SD16—121no—
1502SD16—121no—
1503SD16—121no—
1504SD16—121no—
1505SD16—121no—
1506SD16—121no—
1507SD16—121no—
1508SD16—121no—
1509D8—62no—
1510D8—62no—
1511D8—121no—
1512D8—121no—
1513D8—121no—
1514D8—121no—
1515M16—121no—
1516M16—121no—
1517M16—121no—
1518M16—121no—
1519C2×C8—31no—
1520C2×C8—31no—
1521C2×C8—31no—
1522C2×C8—31no—
1523C2×C8—31no—
1524C2×C8—31no—
1525C2×C8—31no—
1526C2×C8—31no—
1527C2×C8—121no—
1528C2×C8—121no—
1529C2×C8—121no—
1530C2×C8—121no—
1531C4⋊C4—21no—
1532C4⋊C4—21no—
1533C4⋊C4—21no—
1534C4⋊C4—21no—
1535C4⋊C4—21no—
1536C4⋊C4—21no—
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—31no—
1540C4⋊C4—31no—
1541C4⋊C4—31no—
1542C4⋊C4—31no—
1543C4⋊C4—61no—
1544C4⋊C4—61no—
1545C4⋊C4—61no—
1546C4⋊C4—61no—
1547C4⋊C4—61no—
1548C4⋊C4—61no—
1549C4⋊C4—61no—
1550C4⋊C4—61no—
1551C4⋊C4—61no—
1552C4⋊C4—61no—
1553C4⋊C4—61no—
1554C4⋊C4—61no—
1555C4⋊C4—61no—
1556C4⋊C4—61no—
1557C4⋊C4C2×#6711yescharacteristic
1558C4⋊C4C2×#6711yescharacteristic
1559C4⋊C4C2×#6711yescharacteristic
1560C4⋊C4C2×#6711yescharacteristic
1561C4⋊C4C23×D311yescharacteristic
1562C4⋊C4C23×D311yescharacteristic
1563C22⋊C4—21no—
1564C22⋊C4—21no—
1565C22⋊C4—21no—
1566C22⋊C4—21no—
1567C22⋊C4—21no—
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—61no—
1579C22⋊C4—61no—
1580C22⋊C4—61no—
1581C22⋊C4—61no—
1582C22⋊C4—61no—
1583C22⋊C4—61no—
1584C22⋊C4—61no—
1585C22⋊C4—61no—
1586C22⋊C4—61no—
1587C22⋊C4—61no—
1588C22⋊C4—61no—
1589C22⋊C4—61no—
1590C22⋊C4—61no—
1591C22⋊C4—61no—
1592C22⋊C4—61no—
1593C22⋊C4—61no—
1594C22⋊C4—61no—
1595C22⋊C4—61no—
1596C22⋊C4—61no—
1597C22⋊C4—61no—
1598C22⋊C4C2×#6711yescharacteristic
1599C22⋊C4C2×#6711yescharacteristic
1600C22⋊C4C2×#6711yescharacteristic
1601C22⋊C4C2×#6711yescharacteristic
1602C22⋊C4C2×#6711yescharacteristic
1603C22⋊C4C2×#6711yescharacteristic
1604C22⋊C4C2×#6711yescharacteristic
1605C22⋊C4C2×#6711yescharacteristic
1606C42—21no—
1607C42—21no—
1608C42—21no—
1609C42—61no—
1610C42—61no—
1611C42—61no—
1612C42—61no—
1613C42C2×#6711yescharacteristic
1614C42C2×#6711yescharacteristic
1615C42C23×D311yescharacteristic
1616C42C23×D311yescharacteristic
1617C22×C3—21no—
1618C22×C3—21no—
1619C22×C3—21no—
1620C22×C3—21no—
1621C22×C3—21no—
1622C22×C3—21no—
1623C22×C3—21no—
1624C22×C3—21no—
1625C22×C3—21no—
1626C22×C3—22no—
1627C22×C3—21no—
1628C22×C3—21no—
1629C22×C3—21no—
1630C22×C3—21no—
1631C22×C3—21no—
1632C22×C3—41no—
1633C22×C3—41no—
1634C22×C3—41no—
1635C22×C3—41no—
1636C22×C3—41no—
1637C22×C3—41no—
1638C22×C3—41no—
1639C22×C3—41no—
1640C22×C3—82no—
1641C22×C3—84no—
1642C22×C3—82no—
1643C22×C3—84no—
1644C22×C3#57512yes—
1645C22×C3C23×D411yescharacteristic
1646C2×D3—41no—
1647C2×D3—41no—
1648C2×D3—41no—
1649C2×D3—41no—
1650C2×D3—41no—
1651C2×D3—41no—
1652C2×D3—162no—
1653C3×C4—21no—
1654C3×C4—21no—
1655C3×C4—21no—
1656C3×C4—21no—
1657C3×C4—21no—
1658C3×C4—21no—
1659C3×C4—21no—
1660C3×C4—22no—
1661C3×C4—21no—
1662C3×C4—21no—
1663C3×C4—41no—
1664C3×C4—41no—
1665C3×C4—41no—
1666C3×C4—41no—
1667C3×C4C2×H(5,𝔽2)11yescharacteristic
1668C3×C4C2×H(5,𝔽2)11yescharacteristic
1669Dic3—41no—
1670Dic3—41no—
1671Dic3—41no—
1672Dic3—41no—
1673Dic3—41no—
1674Dic3—41no—
1675C23—21no—
1676C23—22no—
1677C23—21no—
1678C23—21no—
1679C23—41no—
1680C23—41no—
1681C23—41no—
1682C23—41no—
1683C23—41no—
1684C23—42no—
1685C23—42no—
1686C23—42no—
1687C23—42no—
1688C23—61no—
1689C23—61no—
1690C23—81no—
1691C23—81no—
1692C23—122no—
1693C23—241no—
1694C23—241no—
1695C23C22×#6711yescharacteristic
1696C23C22×#6711yescharacteristic
1697C23C22×#6711yescharacteristic
1698C23C22×#6711yescharacteristic
1699C23C22×#6711yescharacteristic
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—42no—
1706Q8—42no—
1707Q8—61no—
1708Q8—61no—
1709Q8—61no—
1710Q8—61no—
1711Q8—241no—
1712Q8#100412yes—
1713D4—24no—
1714D4—22no—
1715D4—22no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—42no—
1731D4—42no—
1732D4—42no—
1733D4—42no—
1734D4—61no—
1735D4—61no—
1736D4—61no—
1737D4—61no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—122no—
1742D4—122no—
1743D4—122no—
1744D4—122no—
1745D4—241no—
1746D4—241no—
1747D4—241no—
1748D4—241no—
1749D4—241no—
1750D4#100412yes—
1751C2×C4—24no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—41no—
1768C2×C4—41no—
1769C2×C4—41no—
1770C2×C4—41no—
1771C2×C4—41no—
1772C2×C4—41no—
1773C2×C4—41no—
1774C2×C4—41no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—61no—
1785C2×C4—61no—
1786C2×C4—61no—
1787C2×C4—61no—
1788C2×C4—61no—
1789C2×C4—61no—
1790C2×C4—81no—
1791C2×C4—122no—
1792C2×C4—241no—
1793C2×C4—241no—
1794C2×C4—241no—
1795C2×C4—241no—
1796C2×C4—241no—
1797C2×C4—241no—
1798C2×C4C22×#6711yescharacteristic
1799C2×C4C22×#6711yescharacteristic
1800C2×C4C22×#6711yescharacteristic
1801C2×C4C22×#6711yescharacteristic
1802C2×C4C22×#6711yescharacteristic
1803C2×C4C22×#6711yescharacteristic
1804C2×C4C22×#6711yescharacteristic
1805C2×C4C22×#6711yescharacteristic
1806C2×C4C22×#6711yescharacteristic
1807C2×C4C24×D311yescharacteristic
1808C8—61no—
1809C8—61no—
1810C8—61no—
1811C8—61no—
1812C8—61no—
1813C8—61no—
1814C8—61no—
1815C8—61no—
1816C2×C3—22no—
1817C2×C3—41no—
1818C2×C3—41no—
1819C2×C3—41no—
1820C2×C3—41no—
1821C2×C3—42no—
1822C2×C3—81no—
1823C2×C3—81no—
1824C2×C3#348411yescharacteristic
1825C2×C3C2×#57511yescharacteristic
1826C2×C3#358411yescharacteristic
1827D3—81no—
1828D3—81no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—22no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—41no—
1852C22—82no—
1853C22—84no—
1854C22—82no—
1855C22—84no—
1856C22—121no—
1857C22—121no—
1858C22—121no—
1859C22—121no—
1860C22—121no—
1861C22—121no—
1862C22—482no—
1863C22#582212yes—
1864C22C23×#6711yescharacteristic
1865C4—21no—
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—121no—
1880C4—121no—
1881C4—121no—
1882C4—121no—
1883C4—121no—
1884C4—121no—
1885C4C2×#100411yescharacteristic
1886C4C2×#100411yescharacteristic
1887C3#6160611yescharacteristic, complemented, Sylow
1888C2—22no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—42no—
1894C2—81no—
1895C2—81no—
1896C2—241no—
1897C2—241no—
1898C2#8723911yescharacteristic
1899C2C2×#582211yescharacteristic
1900C2#8729711yescharacteristic
subgroupG/H
centerC22C23×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC3×D4×#41C2
socleC22×C3C23×D4
hypercenterD4×#41D3
hypocenterC3#61606
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C2×C4×D4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. C3×D4×#41C2semidirect
2. #85787C2semidirect
3. C2×#5239C2semidirect
4. #84082C2semidirect
5. #84081C2semidirect
6. #84080C2semidirect
7. #83577C2semidirect
8. #83573C2semidirect
9. #83565C2semidirect
10. #83553C2semidirect
11. #83549C2semidirect
12. #83544C2semidirect
13. #83541C2semidirect
14. #83535C2semidirect
15. #83522C2semidirect
16. #83513C2semidirect
17. #83509C2semidirect
18. #83504C2semidirect
19. #83501C2semidirect
20. #83495C2semidirect
21. #83491C2semidirect
22. #83485C2semidirect
23. #83309C2semidirect
24. #83305C2semidirect
25. #82935C2semidirect
26. #82932C2semidirect
27. #82930C2semidirect
28. #82929C2semidirect
29. #82530C2semidirect
30. #82528C2semidirect
31. #82303C2semidirect
34. C22×C3×#41C22semidirect
36. C3×D4×Q8C22semidirect
38. C3×#548C22semidirect
44. C3×#546C22semidirect
46. C3×D42C22semidirect
48. C3×#532C22semidirect
52. C3×#525C22semidirect
53. C3×C4×#41C22semidirect
56. C2×#950C22semidirect
57. C2×#950C22semidirect
58. C2×#949C22semidirect
59. C2×#949C22semidirect
60. C22×#216C22semidirect
61. C2×#942C22semidirect
63. C22×#214C22semidirect
64. C2×#932C22semidirect
65. #5791C22semidirect
66. #5791C22semidirect
67. C2×#930C22semidirect
68. C2×#924C22semidirect
70. #5565C22semidirect
74. #5552C22semidirect
75. #5550C22semidirect
76. #5550C22semidirect
77. #5541C22semidirect
78. #5541C22semidirect
84. #5479C22semidirect
85. #5479C22semidirect
86. #5239C22semidirect
87. #5239C22semidirect
88. #5239C22semidirect
89. #5239C22semidirect
90. #5239C22semidirect
91. #5239C22semidirect
92. #5239C22semidirect
93. #5239C22semidirect
94. #5239C22semidirect
95. #5239C22semidirect
96. #5239C22semidirect
97. #5239C22semidirect
100. #5238C22semidirect
101. #5238C22semidirect
102. #5238C22semidirect
103. #5238C22semidirect
104. #5238C22semidirect
105. #5238C22semidirect
106. #5233C22semidirect
107. #5233C22semidirect
108. #5232C22semidirect
109. #5232C22semidirect
110. #5228C22semidirect
111. #5227C22semidirect
112. #5227C22semidirect
113. #5227C22semidirect
114. #5225C22semidirect
115. C2×#835C22semidirect
116. #5218C22semidirect
117. #5217C22semidirect
118. #5217C22semidirect
119. #5217C22semidirect
120. #5215C22semidirect
121. C2×#832C22semidirect
122. #5207C22semidirect
123. #5207C22semidirect
124. C2×#830C22semidirect
125. C2×#830C22semidirect
126. #5090C22semidirect
127. #5086C22semidirect
128. #5083C22semidirect
129. #5082C22semidirect
130. #5075C22semidirect
131. #5074C22semidirect
132. #5072C22semidirect
133. #5071C22semidirect
134. #5059C22semidirect
135. #5059C22semidirect
136. #5057C22semidirect
137. #5057C22semidirect
138. #5056C22semidirect
139. #5056C22semidirect
140. #5054C22semidirect
141. #5054C22semidirect
142. #5052C22semidirect
143. #5052C22semidirect
144. #5052C22semidirect
145. #5051C22semidirect
146. #5050C22semidirect
147. #5049C22semidirect
148. #5048C22semidirect
149. #5048C22semidirect
150. #5048C22semidirect
151. #5047C22semidirect
152. #5047C22semidirect
153. #5046C22semidirect
154. #5045C22semidirect
155. #5045C22semidirect
156. #5044C22semidirect
157. #5044C22semidirect
158. #5042C22semidirect
159. #5042C22semidirect
160. #5042C22semidirect
161. #5041C22semidirect
162. #5040C22semidirect
163. #5039C22semidirect
164. #5038C22semidirect
165. #5038C22semidirect
166. #5038C22semidirect
167. #5037C22semidirect
168. #5037C22semidirect
169. #5036C22semidirect
170. #5035C22semidirect
171. #5035C22semidirect
172. #5034C22semidirect
173. #5034C22semidirect
174. #5030C22semidirect
175. C4×#216C22semidirect
176. #5028C22semidirect
177. #5028C22semidirect
178. #5026C22semidirect
179. C4×#215C22semidirect
180. #5022C22semidirect
181. #5022C22semidirect
182. #5018C22semidirect
183. C4×#214C22semidirect
184. #5016C22semidirect
185. #5016C22semidirect
186. #5014C22semidirect
187. C4×#213C22semidirect
188. #5012C22semidirect
189. #5012C22semidirect
190. #5011C22semidirect
191. #5011C22semidirect
192. #5011C22semidirect
193. #5011C22semidirect
194. D4×C3⋊C8C22semidirect
195. D4×C3⋊C8C22semidirect
196. #5009C22semidirect
197. #5009C22semidirect
198. #5003C22semidirect
199. #5003C22semidirect
200. #4996C22semidirect
201. #4996C22semidirect
202. #4926C22semidirect
203. #4925C22semidirect
205. D4×#41D3semidirect
523. C22×#41C2×D3semidirect
541. D4×Q8C2×D3semidirect
545. #548C2×D3semidirect
553. #546C2×D3semidirect
555. D42C2×D3semidirect
560. #532C2×D3semidirect
568. #525C2×D3semidirect
572. C4×#41C2×D3semidirect
1887. C3#61606semidirect

Maximal subgroups

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

subgroupindex
C3×D4×#412
#857872
C2×#52392
#840822
#840812
#840802
#835772
#835732
#835652
#835532
#835492
#835442
#835412
#835352
#835222
#835132
#835092
#835042
#835012
#834952
#834912
#834852
#833092
#833052
#829352
#829322
#829302
#829292
#825302
#825282
#823032
#616063