Finite Group Databasebeta

← #33978591

Subgroups — #33978591

Order 18688.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic, complemented
2#22623549C211yesmaximal, characteristic, complemented
3#22622981C211yesmaximal, characteristic, complemented
4#22622959C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22622207C211yesmaximal, characteristic, complemented
8#22622155C211yesmaximal, characteristic, complemented
9#22621996C211yesmaximal, characteristic, complemented
10#22621990C211yesmaximal, characteristic, complemented
11#22621966C211yesmaximal, characteristic, complemented
12#22621960C211yesmaximal, characteristic, complemented
13#22621570C211yesmaximal, characteristic, complemented
14#22621529C211yesmaximal, characteristic, complemented
15#22621489C211yesmaximal, characteristic, complemented
16#22621485C211yesmaximal, characteristic, complemented
17#22621455C211yesmaximal, characteristic, complemented
18#22621454C211yesmaximal, characteristic, complemented
19#22621301C211yesmaximal, characteristic, complemented
20#22621298C211yesmaximal, characteristic, complemented
21#22621265C211yesmaximal, characteristic, complemented
22#22620932C211yesmaximal, characteristic, complemented
23#22620886C211yesmaximal, characteristic, complemented
24#22620042C211yesmaximal, characteristic, complemented
25#22620039C211yesmaximal, characteristic, complemented
26#22619948C211yesmaximal, characteristic, complemented
27#22619422C211yesmaximal, characteristic, complemented
28#22619421C211yesmaximal, characteristic, complemented
29#22619385C211yesmaximal, characteristic, complemented
30#22619050C211yesmaximal, characteristic, complemented
31C73×#3215C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556622C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic
35C2×#14556617C2211yescharacteristic
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38#17989319C2211yescharacteristic
39#17989312C2211yescharacteristic, complemented
40#17989311C2211yescharacteristic, complemented
41#17989308C2211yescharacteristic
42#17989308C2211yescharacteristic, complemented
43#17989306C2211yescharacteristic
44#17989299—21no—
45#17989271—21no—
46#17989269—21no—
47#17989269—21no—
48#17989267—21no—
49#17989263—21no—
50#17989252C2211yescharacteristic, complemented
51Q8×C22⋊D73C2211yescharacteristic
52#17989248C2211yescharacteristic
53#17989247—21no—
54#17989245C2211yescharacteristic
55#17989240C2211yescharacteristic, complemented
56#17989239C2211yescharacteristic
57#17989239C2211yescharacteristic, complemented
58#17989231C2211yescharacteristic
59#17989230C2211yescharacteristic
60#17989227—21no—
61D4×C22⋊D73C2211yescharacteristic
62#17989201—21no—
63#17989175—21no—
64#17989171—21no—
65#17989141C2211yescharacteristic, complemented
66#17989141C2211yescharacteristic, complemented
67#17989136C2211yescharacteristic
68#17989124—21no—
69#17989121C2211yescharacteristic
70#17989116C2211yescharacteristic
71#17989116C2211yescharacteristic
72#17989115—21no—
73#17989115—21no—
74#124×D73C2211yescharacteristic
75#17989060—21no—
76C4×#11924029C2211yescharacteristic, complemented
77C4×#11924029C2211yescharacteristic, complemented
78C4×#11924028C2211yescharacteristic
79C4×#11924028C2211yescharacteristic, complemented
80C4×Q8×D73—21no—
81#17988980C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic
83#17988965C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988929C2211yescharacteristic, complemented
90#17988927C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic
93#17988910C2211yescharacteristic
94#17988909C2211yescharacteristic
95#17988895C2211yescharacteristic, complemented
96#17988894C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988888C2211yescharacteristic, complemented
99#17988880C2211yescharacteristic, complemented
100#17988879C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic
105#17988844C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic
110#17988835C2211yescharacteristic
111#17988832C2211yescharacteristic
112#17988830C2211yescharacteristic
113#17988827C2211yescharacteristic, complemented
114#17988825C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic
116#17988813C2211yescharacteristic
117#17988811C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988809C2211yescharacteristic, complemented
120#17988809C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic
122#17988806C2211yescharacteristic
123#17988806C2211yescharacteristic
124#17988806C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988805C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic, complemented
128#17988801C2211yescharacteristic
129#17988799C2211yescharacteristic
130#17988799C2211yescharacteristic
131#17988799C2211yescharacteristic, complemented
132#17988799C2211yescharacteristic, complemented
133#17988795C2211yescharacteristic, complemented
134#17988795C2211yescharacteristic, complemented
135#17988795C2211yescharacteristic, complemented
136#17988794C2211yescharacteristic, complemented
137#17988791C2211yescharacteristic, complemented
138#17988790C2211yescharacteristic
139#17988790C2211yescharacteristic, complemented
140#17988789C2211yescharacteristic, complemented
141#17988785C2211yescharacteristic
142#17988781C2211yescharacteristic
143#17988752C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988750C2211yescharacteristic, complemented
146#17988748C2211yescharacteristic, complemented
147#17988748C2211yescharacteristic, complemented
148#17988748C2211yescharacteristic, complemented
149#17988746C2211yescharacteristic, complemented
150#17988744C2211yescharacteristic, complemented
151#17988741C2211yescharacteristic, complemented
152#17988739C2211yescharacteristic
153#17988736C2211yescharacteristic
154#17988734C2211yescharacteristic
155#17988731C2211yescharacteristic
156#17988731C2211yescharacteristic
157#17988715C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988700C2211yescharacteristic, complemented
160#17988696C2211yescharacteristic, complemented
161#17988695C2211yescharacteristic, complemented
162#17988694C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167Q16×Dic73C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic
169#17988672C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988662C2211yescharacteristic
172#17988662C2211yescharacteristic
173#17988661C2211yescharacteristic, complemented
174#17988661C2211yescharacteristic, complemented
175#17988660C2211yescharacteristic, complemented
176#17988660C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988611C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988596C2211yescharacteristic, complemented
183#17988594C2211yescharacteristic, complemented
184#17988592C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988582C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic
190#497×C73C2211yescharacteristic
191#497×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#489×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic
196#464×C73C2211yescharacteristic, complemented
197#464×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#450×C73C2211yescharacteristic
201#450×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028D411yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73—21no—
210C2×Q8×D73C2311yescharacteristic
211C22×C22⋊D73—21no—
212C2×D4×D73C2311yescharacteristic
213#14556623—42no—
214#14556622—42no—
215#14556618—42no—
216#14556617—42no—
217#14556614—42no—
218#14556612—42no—
219C2×Dic292C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924018C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924012C2311yescharacteristic
236C2×#11924012C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556589C2311yescharacteristic
245#14556589C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556585—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556583C2311yescharacteristic
260#14556582—21no—
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556581—21no—
265#14556580—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556575—21no—
281#14556574—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556572—21no—
289#14556571C2311yescharacteristic
290#14556571C2311yescharacteristic
291#14556570—21no—
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556567C2311yescharacteristic
306#14556566—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556561—21no—
320#14556560—21no—
321#14556560—21no—
322#14556559—21no—
323Q8×Dic73—21no—
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146D411yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338C4×D292—21no—
339C4×D292—21no—
340C4×D292D411yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347#14556553—21no—
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73D411yescharacteristic
357C4×C22⋊D73D411yescharacteristic
358C4×C22⋊D73C2311yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556550D411yescharacteristic
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549—21no—
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556548—21no—
373#14556548—21no—
374#14556548—21no—
375#14556548—21no—
376#14556548D411yescharacteristic
377#14556548D411yescharacteristic
378#14556547—21no—
379#14556547—21no—
380#14556547—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C2×C22⋊Dic73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C42×D73—21no—
389C42×D73—21no—
390C42×D73—21no—
391C42×D73C2311yescharacteristic
392C42×D73C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×Q16×C73C2311yescharacteristic
445C2×Q16×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452C4⋊Q8×C73C2311yescharacteristic
453#125×C73—21no—
454#124×C73—21no—
455#124×C73—21no—
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C4×Q8×C73—21no—
464C4×Q8×C73C2311yescharacteristic
465C4×Q8×C73C2311yescharacteristic
466#117×C73—21no—
467C2×C22⋊C4×C73—21no—
468C2×C22⋊C4×C73—21no—
469C2×C42×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480C22⋊C8×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—22no—
487#11924029—41no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924028—22no—
492#11924028—42no—
493#11924028—41no—
494#11924027—41no—
495#11924027—41no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501C2×Dic146C2411yescharacteristic
502Q8×D73—44no—
503Q8×D73—41no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292C2×D411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—44no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—41no—
523D4×D73—41no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2×D411yescharacteristic
539C2×C4×D73C2×D411yescharacteristic
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543Dic292—41no—
544#11924018—41no—
545#11924018—41no—
546#11924018—41no—
547#11924018—41no—
548#11924017—22no—
549#11924017—41no—
550#11924016—41no—
551#11924016—41no—
552#11924015—22no—
553#11924015—22no—
554#11924015—41no—
555#11924015—41no—
556D584—22no—
557#11924013—22no—
558#11924013—22no—
559#11924012—41no—
560#11924012—41no—
561#11924011—41no—
562#11924011—41no—
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C2×#10596831C2411yescharacteristic
567C8×D73—41no—
568C8×D73—41no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73C2×D411yescharacteristic
612C22⋊Dic73C2×D411yescharacteristic
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005C2×D411yescharacteristic
632#11924005C2×D411yescharacteristic
633#11924005C2×D411yescharacteristic
634#11924005C2×D411yescharacteristic
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C4×Dic73C2411yescharacteristic
651C24×C73—21no—
652C2×Q8×C73—21no—
653C2×Q8×C73—21no—
654C2×Q8×C73—41no—
655C2×Q8×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×Q8×C73C2411yescharacteristic
659C2×Q8×C73C2411yescharacteristic
660C2×D4×C73—21no—
661C2×D4×C73—41no—
662C2×D4×C73—41no—
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C22×C4×C73—21no—
666C22×C4×C73C2×D411yescharacteristic
667C22×C4×C73C2×D411yescharacteristic
668C22×C4×C73C2411yescharacteristic
669Q16×C73—41no—
670Q16×C73—41no—
671Q16×C73—41no—
672Q16×C73—41no—
673SD16×C73—41no—
674SD16×C73—41no—
675SD16×C73—41no—
676SD16×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C22⋊C4×C73—21no—
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C42×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—42no—
709C23×C73—81no—
710C23×C73—81no—
711C23×C73C22×D411yescharacteristic
712C22×D73—21no—
713C22×D73—21no—
714C22×D73—42no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—42no—
728Q8×C73—81no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—81no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—41no—
743C2×C4×C73—41no—
744C2×C4×C73—81no—
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C2511yescharacteristic
751C22⋊D73—22no—
752C22⋊D73—41no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—42no—
768C2×Dic73—81no—
769C2×Dic73—81no—
770C2×Dic73C22×D411yescharacteristic
771C2×Dic73C22×D411yescharacteristic
772C2×Dic73C22×D411yescharacteristic
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776D292—21no—
777D292—21no—
778D292—21no—
779D292—41no—
780D292—42no—
781D292—42no—
782D292—81no—
783D292H(5,𝔽2)12yes—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—22no—
789C4×D73—41no—
790C4×D73—41no—
791C4×D73—41no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802Dic146—22no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—42no—
808Dic146—42no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—162no—
828C22×C73C23×D411yescharacteristic
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—22no—
834C2×D73—21no—
835C2×D73—21no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—162no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73C2×H(5,𝔽2)11yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73#57512yes—
867#61973—731nomaximal, Sylow
868C2×C73—41no—
869C2×C73—81no—
870C2×C73—81no—
871C2×C73#348811yescharacteristic
872C2×C73C2×#57511yescharacteristic
873C2×C73#358611yescharacteristic
874D73—41no—
875D73—41no—
876D73—42no—
877D73—81no—
878#3514—731no—
879#3482—731no—
880#3400—731no—
881#3398—731no—
882#3373—731no—
883#3367—731no—
884#3328—731no—
885#3324—731no—
886#3313—731no—
887#3313—731no—
888#3311—731no—
889#3311—731no—
890#3276—731no—
891#3272—731no—
892#3269—731no—
893#3269—731no—
894#3267—731no—
895#3267—731no—
896#3252—731no—
897#3252—731no—
898#3248—731no—
899#3215—731no—
900#3215D7311yescharacteristic, complemented
901#3210—731no—
902#3111—731no—
903#3111—731no—
904#3102—731no—
905#3040—731no—
906#3040—731no—
907#3035—731no—
908#2989—731no—
909C73#6197311yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)—731no—
914C2×#135—731no—
915C2×#135—731no—
916#559—731no—
917#557—731no—
918#556—731no—
919#556—731no—
920#556—731no—
921#556—731no—
922#555—1461no—
923#552—1461no—
924#552—1461no—
925#552—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930#548—731no—
931#548—731no—
932#548—1461no—
933#547—731no—
934#547—731no—
935#547—731no—
936#546—731no—
937#546—731no—
938#546—1461no—
939D42—731no—
940#542—1461no—
941#538—1461no—
942#538—1461no—
943#533—731no—
944#533—731no—
945#533C2×D7311yescharacteristic, complemented
946#532—731no—
947#529—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#529—1461no—
953C2×#124—731no—
954C2×#124C2×D7311yescharacteristic
955#518—1461no—
956C4×#41—731no—
957C4×#41—731no—
958C4×#41—731no—
959C4×#41—731no—
960C2×C4×Q8—1461no—
961#497—731no—
962#497—731no—
963#497C2×D7311yescharacteristic
964#497C2×D7311yescharacteristic, complemented
965#494—731no—
966#492—731no—
967#489—731no—
968#489—731no—
969#489C2×D7311yescharacteristic
970#489C2×D7311yescharacteristic, complemented
971#487—731no—
972#486—731no—
973#485—731no—
974#485—731no—
975#485—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#479—731no—
980#479—731no—
981#479—731no—
982#478—731no—
983#477—731no—
984#477—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#470—731no—
990#470—731no—
991#470—731no—
992#470—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#467—731no—
998#467—731no—
999#465—731no—
1000#465—731no—
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#464—731no—
1010#464C2×D7311yescharacteristic
1011#464C2×D7311yescharacteristic
1012#464C2×D7311yescharacteristic, complemented
1013#464C2×D7311yescharacteristic, complemented
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#463—731no—
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462—731no—
1025#461—731no—
1026#461—731no—
1027#461—731no—
1028#461—731no—
1029#460—731no—
1030#459—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#452—731no—
1036#452—731no—
1037#452—731no—
1038#451—731no—
1039#451—731no—
1040#451C2×D7311yescharacteristic, complemented
1041#451C2×D7311yescharacteristic, complemented
1042#450—731no—
1043#450—731no—
1044#450C2×D7311yescharacteristic
1045#450C2×D7311yescharacteristic
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#446—731no—
1050#446—731no—
1051#442—731no—
1052#442—731no—
1053#441—731no—
1054#441—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059C4×Q16—731no—
1060C4×SD16—731no—
1061C4×SD16—731no—
1062C4×D8—731no—
1063#436—731no—
1064#436—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#435—731no—
1069#432—731no—
1070#432C2×D7311yescharacteristic, complemented
1071#431—731no—
1072#423—731no—
1073#423—731no—
1074C2×C4⋊C8—731no—
1075#419—731no—
1076#419—731no—
1077#418—731no—
1078#418—731no—
1079#416—731no—
1080#416—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—731no—
1084C2×#41—731no—
1085C2×#41—731no—
1086C2×#41—731no—
1087C22×Q8—731no—
1088C22×Q8—1461no—
1089C22×Q8C22×D7311yescharacteristic
1090C22×D4—731no—
1091C22×D4—1461no—
1092C22×D4C22×D7311yescharacteristic
1093#137—2922no—
1094#137—2922no—
1095AGL(1,ℤ/8)—2922no—
1096AGL(1,ℤ/8)—2922no—
1097#135—2922no—
1098#135—2922no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16C22×D7311yescharacteristic
1105C2×Q16C22×D7311yescharacteristic
1106C2×Q16C22×D7311yescharacteristic
1107C2×Q16C22×D7311yescharacteristic
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×SD16C22×D7311yescharacteristic
1119C2×SD16C22×D7311yescharacteristic
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×M16—731no—
1124C2×M16—731no—
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—1461no—
1135C4⋊Q8C22×D7311yescharacteristic
1136C4⋊Q8C22×D7311yescharacteristic
1137#127—731no—
1138#126—1461no—
1139#126—1461no—
1140#126—1461no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#125—21no—
1150#125—731no—
1151#125—1461no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#124—21no—
1157#124—21no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—1461no—
1162#124—1461no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124C22×D7311yescharacteristic
1170#124C22×D7311yescharacteristic
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186C22⋊Q8—21no—
1187C22⋊Q8—731no—
1188C22⋊Q8—731no—
1189C22⋊Q8—731no—
1190C22⋊Q8—731no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—731no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8C22×D7311yescharacteristic
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#120—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223C4×Q8—21no—
1224C4×Q8—731no—
1225C4×Q8—731no—
1226C4×Q8—731no—
1227C4×Q8—731no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—1461no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8—1461no—
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269#117—21no—
1270#117—731no—
1271#117—731no—
1272#117—731no—
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—1461no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C42—731no—
1295C2×C42—731no—
1296C2×C42—1461no—
1297C2×C42—1461no—
1298C2×C42—1461no—
1299C2×C42C22×D7311yescharacteristic
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#106—731no—
1305#106—731no—
1306#106—731no—
1307#106—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8C22×D7311yescharacteristic
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103C22×D7311yescharacteristic
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356#97—731no—
1357#97—731no—
1358#97C22×D7311yescharacteristic
1359#97C22×D7311yescharacteristic
1360C4×C8—731no—
1361C4×C8—731no—
1362C24—21no—
1363C24—1461no—
1364#41—2921no—
1365#41—2922no—
1366#41—2921no—
1367#41—2921no—
1368#41—2921no—
1369#41—2921no—
1370#41—2921no—
1371#41—2921no—
1372#41—1462no—
1373#41—1462no—
1374#41—1462no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8—41no—
1378C2×Q8—41no—
1379C2×Q8—2924no—
1380C2×Q8—2921no—
1381C2×Q8—2921no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—731no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8C23×D7311yescharacteristic
1389C2×Q8C23×D7311yescharacteristic
1390C2×Q8C23×D7311yescharacteristic
1391C2×Q8C23×D7311yescharacteristic
1392C2×D4—21no—
1393C2×D4—41no—
1394C2×D4—41no—
1395C2×D4—2924no—
1396C2×D4—2921no—
1397C2×D4—2921no—
1398C2×D4—731no—
1399C2×D4—731no—
1400C2×D4—731no—
1401C2×D4—731no—
1402C2×D4—731no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4C23×D7311yescharacteristic
1415C2×D4C23×D7311yescharacteristic
1416C22×C4—21no—
1417C22×C4—731no—
1418C22×C4—731no—
1419C22×C4—731no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4D4×D7311yescharacteristic
1437C22×C4D4×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—41no—
1441Q16—41no—
1442Q16—41no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447Q16—2921no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—41no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—2921no—
1457SD16—1462no—
1458SD16—1462no—
1459SD16—1462no—
1460D8—1462no—
1461D8—1462no—
1462D8—1462no—
1463M16—2921no—
1464M16—2921no—
1465M16—2921no—
1466M16—2921no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—731no—
1493C4⋊C4—731no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4C23×D7311yescharacteristic
1519C4⋊C4C23×D7311yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—731no—
1531C22⋊C4—731no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C42—21no—
1563C42—21no—
1564C42—731no—
1565C42—731no—
1566C42—731no—
1567C42—731no—
1568C42—731no—
1569C42—731no—
1570C42—1461no—
1571C42—1461no—
1572C42—1461no—
1573C42—1461no—
1574C42—1461no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42D4×D7311yescharacteristic
1581C42D4×D7311yescharacteristic
1582C42C23×D7311yescharacteristic
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—2922no—
1590C23—5841no—
1591C23—5841no—
1592C23—731no—
1593C23—731no—
1594C23—1461no—
1595C23—1461no—
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—42no—
1606Q8—81no—
1607Q8—2922no—
1608Q8—2922no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—81no—
1620D4—2921no—
1621D4—2922no—
1622D4—2922no—
1623D4—2922no—
1624D4—2922no—
1625D4—2922no—
1626D4—2922no—
1627D4—2921no—
1628D4—5841no—
1629D4—5841no—
1630D4—5841no—
1631D4—5841no—
1632D4—5841no—
1633D4—732no—
1634D4—1462no—
1635D4—1461no—
1636D4—1461no—
1637D4—1461no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—41no—
1647C2×C4—41no—
1648C2×C4—81no—
1649C2×C4—2922no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2921no—
1653C2×C4—2921no—
1654C2×C4—2921no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—2922no—
1658C2×C4—2922no—
1659C2×C4—2922no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—1462no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1461no—
1681C2×C4—1461no—
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—162no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—11682no—
1712C22—1462no—
1713C22—1461no—
1714C22—1461no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22—1461no—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—732no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4H(5,𝔽2)×D7311yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—2922no—
1749C2—2921no—
1750C2—2921no—
1751C2—5841no—
1752C2#2262359811yescharacteristic
1753C2#575×D7311yescharacteristic
1754C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3215C2
socleC22×C73C23×D4
hypercenter#3215D73
hypocenterC73#61973
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3215

Complements

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

NH ≅ G/Ntype
1. #22623886C2semidirect
2. #22623549C2semidirect
3. #22622981C2semidirect
4. #22622959C2semidirect
5. #22622720C2semidirect
6. #22622646C2semidirect
7. #22622207C2semidirect
8. #22622155C2semidirect
9. #22621996C2semidirect
10. #22621990C2semidirect
11. #22621966C2semidirect
12. #22621960C2semidirect
13. #22621570C2semidirect
14. #22621529C2semidirect
15. #22621489C2semidirect
16. #22621485C2semidirect
17. #22621455C2semidirect
18. #22621454C2semidirect
19. #22621301C2semidirect
20. #22621298C2semidirect
21. #22621265C2semidirect
22. #22620932C2semidirect
23. #22620886C2semidirect
24. #22620042C2semidirect
25. #22620039C2semidirect
26. #22619948C2semidirect
27. #22619422C2semidirect
28. #22619421C2semidirect
29. #22619385C2semidirect
30. #22619050C2semidirect
31. C73×#3215C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556622C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556612C22semidirect
39. #17989312C22semidirect
40. #17989311C22semidirect
42. #17989308C22semidirect
50. #17989252C22semidirect
55. #17989240C22semidirect
57. #17989239C22semidirect
65. #17989141C22semidirect
66. #17989141C22semidirect
76. C4×#11924029C22semidirect
77. C4×#11924029C22semidirect
79. C4×#11924028C22semidirect
81. #17988980C22semidirect
83. #17988965C22semidirect
85. #17988948C22semidirect
87. #17988936C22semidirect
89. #17988929C22semidirect
90. #17988927C22semidirect
91. #17988926C22semidirect
95. #17988895C22semidirect
96. #17988894C22semidirect
97. #17988894C22semidirect
98. #17988888C22semidirect
99. #17988880C22semidirect
100. #17988879C22semidirect
101. #17988875C22semidirect
102. #17988874C22semidirect
103. #17988870C22semidirect
105. #17988844C22semidirect
106. #17988843C22semidirect
107. #17988843C22semidirect
108. #17988842C22semidirect
113. #17988827C22semidirect
114. #17988825C22semidirect
117. #17988811C22semidirect
118. #17988810C22semidirect
119. #17988809C22semidirect
120. #17988809C22semidirect
124. #17988806C22semidirect
125. #17988806C22semidirect
126. #17988805C22semidirect
127. #17988803C22semidirect
131. #17988799C22semidirect
132. #17988799C22semidirect
133. #17988795C22semidirect
134. #17988795C22semidirect
135. #17988795C22semidirect
136. #17988794C22semidirect
137. #17988791C22semidirect
139. #17988790C22semidirect
140. #17988789C22semidirect
143. #17988752C22semidirect
144. #17988751C22semidirect
145. #17988750C22semidirect
146. #17988748C22semidirect
147. #17988748C22semidirect
148. #17988748C22semidirect
149. #17988746C22semidirect
150. #17988744C22semidirect
151. #17988741C22semidirect
157. #17988715C22semidirect
158. #17988715C22semidirect
159. #17988700C22semidirect
160. #17988696C22semidirect
161. #17988695C22semidirect
162. #17988694C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. #17988689C22semidirect
166. #17988688C22semidirect
167. Q16×Dic73C22semidirect
169. #17988672C22semidirect
173. #17988661C22semidirect
174. #17988661C22semidirect
175. #17988660C22semidirect
176. #17988660C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988611C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988596C22semidirect
183. #17988594C22semidirect
186. #17988582C22semidirect
187. #17988580C22semidirect
188. #533×C73C22semidirect
191. #497×C73C22semidirect
193. #489×C73C22semidirect
196. #464×C73C22semidirect
197. #464×C73C22semidirect
198. #451×C73C22semidirect
199. #451×C73C22semidirect
202. #432×C73C22semidirect
900. #3215D73semidirect
909. C73#61973semidirect
945. #533C2×D73semidirect
964. #497C2×D73semidirect
970. #489C2×D73semidirect
1012. #464C2×D73semidirect
1013. #464C2×D73semidirect
1040. #451C2×D73semidirect
1041. #451C2×D73semidirect
1070. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226235492
#226229812
#226229592
#226227202
#226226462
#226222072
#226221552
#226219962
#226219902
#226219662
#226219602
#226215702
#226215292
#226214892
#226214852
#226214552
#226214542
#226213012
#226212982
#226212652
#226209322
#226208862
#226200422
#226200392
#226199482
#226194222
#226194212
#226193852
#226190502
C73×#32152
#6197373