Finite Group Databasebeta

← #33982664

Subgroups — #33982664

Order 18688.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624267C211yesmaximal, characteristic, complemented
2#22623876C211yesmaximal, characteristic, complemented
3#22622889C211yesmaximal, characteristic, complemented
4#22622838C211yesmaximal, characteristic, complemented
5#22622744C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622429C211yesmaximal, characteristic, complemented
8#22622417C211yesmaximal, characteristic, complemented
9#22622367C211yesmaximal, characteristic, complemented
10#22622293C211yesmaximal, characteristic, complemented
11#22622273C211yesmaximal, characteristic, complemented
12#22622082C211yesmaximal, characteristic, complemented
13#22622010C211yesmaximal, characteristic, complemented
14#22621954C211yesmaximal, characteristic, complemented
15#22621898C211yesmaximal, characteristic, complemented
16#22621764C211yesmaximal, characteristic, complemented
17#22621738C211yesmaximal, characteristic, complemented
18#22621388C211yesmaximal, characteristic, complemented
19#22621346C211yesmaximal, characteristic, complemented
20#22621279C211yesmaximal, characteristic, complemented
21#22621218C211yesmaximal, characteristic, complemented
22#22621185C211yesmaximal, characteristic, complemented
23#22621155C211yesmaximal, characteristic, complemented
24#22620191C211yesmaximal, characteristic, complemented
25#22620110C211yesmaximal, characteristic, complemented
26#22620066C211yesmaximal, characteristic, complemented
27#22619779C211yesmaximal, characteristic, complemented
28#22619760C211yesmaximal, characteristic, complemented
29C2×#17988866C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3343C211yesmaximal, characteristic, complemented
32#17989340—21no—
33#17989338—21no—
34#17989322C2211yescharacteristic
35#17989317C2211yescharacteristic, complemented
36#17989301C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989293C2211yescharacteristic
39#17989292C2211yescharacteristic, complemented
40#17989290—21no—
41#17989281C2211yescharacteristic
42#17989277C2211yescharacteristic
43#17989274—21no—
44#17989272C2211yescharacteristic, complemented
45#17989262—21no—
46#17989261—21no—
47#17989238C2211yescharacteristic
48#17989237C2211yescharacteristic, complemented
49#17989236—21no—
50#17989229—21no—
51#17989228C2211yescharacteristic
52#17989228C2211yescharacteristic
53D4×D292C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989216—21no—
56#17989214C2211yescharacteristic, complemented
57#17989210C2211yescharacteristic
58#17989205—21no—
59#17989204C2211yescharacteristic, complemented
60#17989202C2211yescharacteristic, complemented
61#17989193C2211yescharacteristic
62#17989185—21no—
63#17989176—21no—
64#17989159—21no—
65#17989158—21no—
66C2×#14556590C2211yescharacteristic, complemented
67#17989123C2211yescharacteristic
68#17989118C2211yescharacteristic, complemented
69#17989117C2211yescharacteristic
70#17989099—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989061C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic
81#17988948C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988935C2211yescharacteristic
86#17988928C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988917C2211yescharacteristic, complemented
90#17988915C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic
94#17988907C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988901C2211yescharacteristic
97#17988900C2211yescharacteristic
98#17988900C2211yescharacteristic
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988892C2211yescharacteristic, complemented
103#17988891C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic
105#17988890C2211yescharacteristic, complemented
106#17988890C2211yescharacteristic, complemented
107#17988889C2211yescharacteristic, complemented
108#17988888C2211yescharacteristic
109#17988886C2211yescharacteristic
110#17988886C2211yescharacteristic, complemented
111#17988881C2211yescharacteristic, complemented
112#17988880C2211yescharacteristic, complemented
113#17988880C2211yescharacteristic, complemented
114#17988876C2211yescharacteristic
115#17988876C2211yescharacteristic, complemented
116#17988876C2211yescharacteristic, complemented
117#17988866C2211yescharacteristic
118#17988866C2211yescharacteristic
119#17988866C2211yescharacteristic
120#17988866C2211yescharacteristic
121#17988866C2211yescharacteristic, complemented
122#17988866C2211yescharacteristic, complemented
123#17988866C2211yescharacteristic, complemented
124#17988866C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988865C2211yescharacteristic, complemented
127#17988864C2211yescharacteristic
128#17988839C2211yescharacteristic, complemented
129#17988834C2211yescharacteristic, complemented
130#17988833C2211yescharacteristic
131#17988826C2211yescharacteristic, complemented
132#17988826C2211yescharacteristic, complemented
133#17988822C2211yescharacteristic, complemented
134#17988821C2211yescharacteristic
135#17988821C2211yescharacteristic
136#17988817C2211yescharacteristic, complemented
137#17988816C2211yescharacteristic
138#17988812C2211yescharacteristic, complemented
139#17988812C2211yescharacteristic, complemented
140#17988807C2211yescharacteristic, complemented
141#17988804C2211yescharacteristic, complemented
142#17988804C2211yescharacteristic, complemented
143#17988801C2211yescharacteristic
144#17988801C2211yescharacteristic, complemented
145#17988801C2211yescharacteristic, complemented
146#17988788C2211yescharacteristic
147#17988782C2211yescharacteristic
148#17988752C2211yescharacteristic
149#17988740C2211yescharacteristic
150#17988740C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988720C2211yescharacteristic
153#17988720C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988696C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988689C2211yescharacteristic
160#17988686C2211yescharacteristic
161#17988686C2211yescharacteristic, complemented
162#17988686C2211yescharacteristic, complemented
163C4×#11924018C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic
165C4×#11924013C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988658C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic
171#17988650C2211yescharacteristic, complemented
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988623C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185C2×#14556513C2211yescharacteristic
186C2×#14556511C2211yescharacteristic
187C2×#14556511C2211yescharacteristic
188#552×C73C2211yescharacteristic
189#547×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#480×C73C2211yescharacteristic, complemented
195#478×C73C2211yescharacteristic, complemented
196#477×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027—21no—
206C22×Dic146—21no—
207C22×D292C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C22×C4×D73—21no—
211C2×#11924018C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924017C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C22×#10596831C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222#14556590—21no—
223#14556590—21no—
224#14556590—21no—
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556589—21no—
233#14556589—21no—
234#14556589—21no—
235#14556588C2311yescharacteristic
236#14556586—21no—
237#14556586—21no—
238#14556586—21no—
239#14556586D411yescharacteristic
240#14556585—21no—
241#14556584—21no—
242#14556584—21no—
243#14556584—21no—
244#14556584—21no—
245#14556584D411yescharacteristic
246#14556583C2311yescharacteristic
247#14556582—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581D411yescharacteristic
256#14556580C2311yescharacteristic
257#14556580C2311yescharacteristic
258#14556579—21no—
259#14556578—21no—
260#14556578—21no—
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577D411yescharacteristic
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556575D411yescharacteristic
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572D411yescharacteristic
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556570—21no—
290#14556570—21no—
291#14556570—21no—
292#14556570—21no—
293#14556570—21no—
294#14556570C2311yescharacteristic
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568D411yescharacteristic
306#14556567—21no—
307#14556566—21no—
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566C2311yescharacteristic
313#14556566C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556564—21no—
317#14556563—21no—
318#14556563D411yescharacteristic
319#14556562C2311yescharacteristic
320#14556561—21no—
321#14556561—21no—
322#14556561—21no—
323#14556561—21no—
324Q8×Dic73C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292C2311yescharacteristic
336D4×Dic73—21no—
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339#14556553—21no—
340#14556553—21no—
341#14556553—21no—
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556550—21no—
354#14556550C2311yescharacteristic
355#14556550C2311yescharacteristic
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556548—21no—
359#14556548C2311yescharacteristic
360#14556547—21no—
361#14556547—21no—
362#14556547—21no—
363C2×C4⋊Dic73C2311yescharacteristic
364C2×#11924007—21no—
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C2×#11924005—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73—21no—
436C2×SD16×C73C2311yescharacteristic
437C2×M16×C73C2311yescharacteristic
438C22×C8×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440#126×C73—21no—
441#125×C73—21no—
442#125×C73C2311yescharacteristic
443#123×C73—21no—
444#123×C73—21no—
445#123×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448C22⋊Q8×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450#121×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454#117×C73—21no—
455#117×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924029—22no—
481#11924029—41no—
482#11924028—82no—
483#11924027—82no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—82no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×D292—22no—
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—41no—
503C2×D292—41no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73C2×D411yescharacteristic
511C2×C22⋊D73C2×D411yescharacteristic
512D4×D73—82no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—82no—
530C2×C4×D73C2411yescharacteristic
531#11924018—41no—
532#11924017—22no—
533#11924017—41no—
534#11924017—41no—
535#11924013—22no—
536#11924013—41no—
537#11924013—41no—
538#11924011—41no—
539C2×#10596831—41no—
540C2×#10596831—41no—
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C8×D73—41no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2×D411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005C2×D411yescharacteristic
614#11924005C2×D411yescharacteristic
615#11924005C2×D411yescharacteristic
616#11924005C2×D411yescharacteristic
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628#41×C73—82no—
629C2×Q8×C73—21no—
630C2×Q8×C73C2411yescharacteristic
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73C2×D411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—41no—
642M16×C73—41no—
643C2×C8×C73—41no—
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73C22×D411yescharacteristic
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—42no—
684C22×D73—81no—
685C22×D73—81no—
686C22×D73—81no—
687C22×D73C22×D411yescharacteristic
688Q8×C73—21no—
689Q8×C73—21no—
690Q8×C73—81no—
691D4×C73—22no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—42no—
695D4×C73—81no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—42no—
708C2×C4×C73—42no—
709C2×C4×C73—81no—
710C2×C4×C73—81no—
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C2511yescharacteristic
716C22⋊D73—22no—
717C22⋊D73—41no—
718C22⋊D73—42no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—22no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—41no—
728C2×Dic73—42no—
729C2×Dic73—42no—
730C2×Dic73—81no—
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738D292—21no—
739D292—21no—
740D292—21no—
741D292—21no—
742D292—21no—
743D292—42no—
744D292—42no—
745D292—42no—
746D292—81no—
747D292—81no—
748D292—81no—
749D292—81no—
750D2922−1+412yes—
751C4×D73—21no—
752C4×D73—21no—
753C4×D73—42no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764Dic146—21no—
765Dic146—21no—
766Dic146—41no—
767Dic146—81no—
768Dic146—81no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73#57612yes—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
794C2×D73—21no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C2×D73—162no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—21no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73—41no—
816C4×C73C2×2−1+411yescharacteristic
817C4×C73#58511yescharacteristic
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—21no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829Dic73—41no—
830#62155—731nomaximal, Sylow
831C2×C73—22no—
832C2×C73—41no—
833C2×C73—81no—
834C2×C73#348911yescharacteristic
835C2×C73C2×#57611yescharacteristic
836C2×C73#358611yescharacteristic
837D73—41no—
838D73—42no—
839D73—81no—
840D73—81no—
841#3544—731no—
842#3513—731no—
843#3389—731no—
844#3385—731no—
845#3375—731no—
846#3370—731no—
847#3347—731no—
848#3346—731no—
849#3343—731no—
850#3343D7311yescharacteristic, complemented
851#3336—731no—
852#3334—731no—
853#3319—731no—
854#3314—731no—
855#3310—731no—
856#3306—731no—
857#3296—731no—
858#3294—731no—
859#3262—731no—
860#3257—731no—
861#3250—731no—
862#3243—731no—
863#3241—731no—
864#3238—731no—
865#3124—731no—
866#3118—731no—
867#3114—731no—
868#3083—731no—
869#3081—731no—
870C2×#474—731no—
871#2992—731no—
872C73#6215511yescharacteristic, complemented, Sylow
873#563—1461no—
874#563—1461no—
875#559—731no—
876Q82—731no—
877#555—731no—
878#554—731no—
879#554—731no—
880#554—731no—
881#553—731no—
882#553—1461no—
883#552—731no—
884#552—731no—
885#552—1461no—
886#552C2×D7311yescharacteristic
887#551—1461no—
888#551—1461no—
889#547—731no—
890#547—731no—
891#547—1461no—
892#547C2×D7311yescharacteristic
893#546—731no—
894#546—731no—
895#546—1461no—
896D42—731no—
897#544—731no—
898#544—731no—
899#544—1461no—
900#542—731no—
901#542—731no—
902#542—731no—
903#542—1461no—
904#540—731no—
905#539—1461no—
906#538—1461no—
907#536—1461no—
908#536—1461no—
909C2×C4⋊Q8—731no—
910#529—731no—
911#529—731no—
912#529—731no—
913#525—1461no—
914C2×#123—1461no—
915#520—731no—
916#518—731no—
917C2×C4×D4—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501C2×D7311yescharacteristic, complemented
922#500—731no—
923#499—731no—
924#490—731no—
925#489—731no—
926#489—731no—
927#489—731no—
928#488—731no—
929#486—731no—
930#485—731no—
931#485—731no—
932#484—731no—
933#484C2×D7311yescharacteristic, complemented
934#483—731no—
935#483—731no—
936#483C2×D7311yescharacteristic, complemented
937#482—731no—
938#482—731no—
939#482—731no—
940#482C2×D7311yescharacteristic, complemented
941#481—731no—
942#480—731no—
943#480—731no—
944#480—731no—
945#480—731no—
946#480—731no—
947#480C2×D7311yescharacteristic, complemented
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478C2×D7311yescharacteristic, complemented
960#477—731no—
961#477—731no—
962#477—731no—
963#477C2×D7311yescharacteristic, complemented
964#476—731no—
965#476—731no—
966#476—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
974#474—731no—
975#474—731no—
976#474—731no—
977#474—731no—
978#469—731no—
979#468—731no—
980#468—731no—
981#468C2×D7311yescharacteristic, complemented
982#467—731no—
983#467—731no—
984#466—731no—
985#466—731no—
986#466—731no—
987#465—731no—
988#465—731no—
989#465C2×D7311yescharacteristic, complemented
990#464—731no—
991#464—731no—
992#464—731no—
993#463—731no—
994#463—731no—
995#463—731no—
996#463—731no—
997#463—731no—
998#460—731no—
999#459—731no—
1000#452—731no—
1001#450—731no—
1002#450—731no—
1003#449—731no—
1004#447—731no—
1005#447—731no—
1006#446—731no—
1007#446—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440C2×D7311yescharacteristic, complemented
1016C4×Q16—731no—
1017C4×SD16—731no—
1018C4×D8—731no—
1019C4×D8—731no—
1020#435—731no—
1021#435—731no—
1022#435—731no—
1023#435C2×D7311yescharacteristic
1024C8×D4—731no—
1025C8×D4—731no—
1026#433—731no—
1027#433—731no—
1028#432—731no—
1029#428—731no—
1030#428C2×D7311yescharacteristic, complemented
1031#427—731no—
1032C2×#107—731no—
1033C2×#107—731no—
1034C2×#107C2×D7311yescharacteristic, complemented
1035#424—731no—
1036#424—731no—
1037C2×C4⋊C8—731no—
1038#418—731no—
1039#417—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#102—731no—
1044C2×#41—21no—
1045C2×#41—731no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C22×Q8—1461no—
1049C22×D4—731no—
1050C22×D4—731no—
1051C22×D4—1461no—
1052C23×C4—1461no—
1053C2×Q16—731no—
1054C2×SD16—731no—
1055C2×SD16—731no—
1056C2×SD16—731no—
1057C2×SD16C22×D7311yescharacteristic
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×D8—731no—
1061C2×M16—731no—
1062C2×M16C22×D7311yescharacteristic
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—731no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—731no—
1073C4⋊Q8—1461no—
1074C4⋊Q8—1461no—
1075C4⋊Q8—1461no—
1076C4⋊Q8—1461no—
1077C4⋊Q8—1461no—
1078C4⋊Q8—1461no—
1079C4⋊Q8—1461no—
1080C4⋊Q8C22×D7311yescharacteristic
1081#127—731no—
1082#126—21no—
1083#126—731no—
1084#126—731no—
1085#126—1461no—
1086#126—1461no—
1087#126—1461no—
1088#126—1461no—
1089#126—1461no—
1090#126—1461no—
1091#126—1461no—
1092#126—1461no—
1093#125—21no—
1094#125—731no—
1095#125—731no—
1096#125—731no—
1097#125—731no—
1098#125—731no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125—1461no—
1103#125—1461no—
1104#125C22×D7311yescharacteristic
1105#124—731no—
1106#124—731no—
1107#124—731no—
1108#124—731no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#124—1461no—
1114#124—1461no—
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—731no—
1119#123—731no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128#123—1461no—
1129#123—1461no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138C22⋊Q8—21no—
1139C22⋊Q8—731no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8C22×D7311yescharacteristic
1161C22⋊Q8C22×D7311yescharacteristic
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—731no—
1166#121—731no—
1167#121—731no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121C22×D7311yescharacteristic
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—1461no—
1187C4×Q8C22×D7311yescharacteristic
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4C22×D7311yescharacteristic
1212C4×D4C22×D7311yescharacteristic
1213#117—21no—
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—731no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117—1461no—
1222#117—1461no—
1223#117—1461no—
1224#117C22×D7311yescharacteristic
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—731no—
1227C2×C4⋊C4—731no—
1228C2×C4⋊C4—1461no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4C22×D7311yescharacteristic
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C22⋊C4—1461no—
1240C2×C42—731no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107—731no—
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#107C22×D7311yescharacteristic
1254#107C22×D7311yescharacteristic
1255#107C22×D7311yescharacteristic
1256#107C22×D7311yescharacteristic
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264#106C22×D7311yescharacteristic
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8—731no—
1274C4⋊C8C22×D7311yescharacteristic
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103C22×D7311yescharacteristic
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306#102C22×D7311yescharacteristic
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C4×C8—731no—
1318C4×C8—731no—
1319C24—1461no—
1320C24—1461no—
1321#41—82no—
1322#41—2921no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326C2×Q8—21no—
1327C2×Q8—5842no—
1328C2×Q8—731no—
1329C2×Q8—731no—
1330C2×Q8—1461no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—2921no—
1341C2×D4—5842no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—731no—
1346C2×D4—731no—
1347C2×D4—1461no—
1348C2×D4—1462no—
1349C2×D4—1462no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4—1461no—
1358C2×D4—1461no—
1359C2×D4D4×D7311yescharacteristic
1360C2×D4C23×D7311yescharacteristic
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—5842no—
1366C22×C4—731no—
1367C22×C4—731no—
1368C22×C4—731no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4C23×D7311yescharacteristic
1384C22×C4C23×D7311yescharacteristic
1385Q16—2921no—
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—1462no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393M16—41no—
1394M16—2921no—
1395C2×C8—41no—
1396C2×C8—2921no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—731no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8C23×D7311yescharacteristic
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4D4×D7311yescharacteristic
1454C4⋊C4C23×D7311yescharacteristic
1455C4⋊C4C23×D7311yescharacteristic
1456C4⋊C4C23×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—731no—
1467C22⋊C4—731no—
1468C22⋊C4—731no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4D4×D7311yescharacteristic
1501C22⋊C4D4×D7311yescharacteristic
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42C23×D7311yescharacteristic
1516C23—21no—
1517C23—2922no—
1518C23—2922no—
1519C23—2922no—
1520C23—5841no—
1521C23—5841no—
1522C23—5841no—
1523C23—731no—
1524C23—1461no—
1525C23—1461no—
1526C23—1461no—
1527C23C2×D4×D7311yescharacteristic
1528C23C2×D4×D7311yescharacteristic
1529Q8—21no—
1530Q8—21no—
1531Q8—81no—
1532Q8—2921no—
1533Q8—5841no—
1534Q8—5841no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—5841no—
1539Q8—1461no—
1540Q8—1461no—
1541D4—22no—
1542D4—21no—
1543D4—21no—
1544D4—42no—
1545D4—81no—
1546D4—2922no—
1547D4—2922no—
1548D4—2922no—
1549D4—2922no—
1550D4—2921no—
1551D4—5841no—
1552D4—5841no—
1553D4—5841no—
1554D4—5841no—
1555D4—5841no—
1556D4—5841no—
1557D4—732no—
1558D4—1462no—
1559D4—1461no—
1560D4—1461no—
1561D4—1461no—
1562D4—1461no—
1563D4—1461no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—42no—
1576C2×C4—42no—
1577C2×C4—81no—
1578C2×C4—81no—
1579C2×C4—2922no—
1580C2×C4—2922no—
1581C2×C4—2922no—
1582C2×C4—2921no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—5841no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—731no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1461no—
1606C2×C4—1462no—
1607C2×C4—1461no—
1608C2×C4—1461no—
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C2×D4×D7311yescharacteristic
1613C2×C4C24×D7311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C8—1461no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—2921no—
1638C22—5844no—
1639C22—11682no—
1640C22—1462no—
1641C22—1461no—
1642C22—1461no—
1643C22—1461no—
1644C22#1798939112yes—
1645C22C22×D4×D7311yescharacteristic
1646C4—21no—
1647C4—21no—
1648C4—21no—
1649C4—21no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—2921no—
1661C4—2921no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C4—1461no—
1668C4—1461no—
1669C42−1+4×D7311yescharacteristic
1670C4#1798942311yescharacteristic
1671C2—22no—
1672C2—41no—
1673C2—81no—
1674C2—2922no—
1675C2—2921no—
1676C2—5841no—
1677C2—5841no—
1678C2#2262360511yescharacteristic
1679C2C2×#1798939111yescharacteristic
1680C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3343C2
socleC22×C73C23×D4
hypercenter#3343D73
hypocenterC73#62155
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
1. #22624267C2semidirect
2. #22623876C2semidirect
3. #22622889C2semidirect
4. #22622838C2semidirect
5. #22622744C2semidirect
6. #22622685C2semidirect
7. #22622429C2semidirect
8. #22622417C2semidirect
9. #22622367C2semidirect
10. #22622293C2semidirect
11. #22622273C2semidirect
12. #22622082C2semidirect
13. #22622010C2semidirect
14. #22621954C2semidirect
15. #22621898C2semidirect
16. #22621764C2semidirect
17. #22621738C2semidirect
18. #22621388C2semidirect
19. #22621346C2semidirect
20. #22621279C2semidirect
21. #22621218C2semidirect
22. #22621185C2semidirect
23. #22621155C2semidirect
24. #22620191C2semidirect
25. #22620110C2semidirect
26. #22620066C2semidirect
27. #22619779C2semidirect
28. #22619760C2semidirect
29. C2×#17988866C2semidirect
30. #22619071C2semidirect
31. C73×#3343C2semidirect
35. #17989317C22semidirect
36. #17989301C22semidirect
37. #17989296C22semidirect
39. #17989292C22semidirect
44. #17989272C22semidirect
48. #17989237C22semidirect
54. #17989218C22semidirect
56. #17989214C22semidirect
59. #17989204C22semidirect
60. #17989202C22semidirect
66. C2×#14556590C22semidirect
68. #17989118C22semidirect
75. #17988995C22semidirect
76. #17988994C22semidirect
77. #17988994C22semidirect
78. #17988991C22semidirect
79. #17988986C22semidirect
81. #17988948C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
86. #17988928C22semidirect
87. #17988925C22semidirect
88. #17988924C22semidirect
89. #17988917C22semidirect
90. #17988915C22semidirect
91. #17988914C22semidirect
92. #17988913C22semidirect
94. #17988907C22semidirect
95. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988894C22semidirect
102. #17988892C22semidirect
103. #17988891C22semidirect
105. #17988890C22semidirect
106. #17988890C22semidirect
107. #17988889C22semidirect
110. #17988886C22semidirect
111. #17988881C22semidirect
112. #17988880C22semidirect
113. #17988880C22semidirect
115. #17988876C22semidirect
116. #17988876C22semidirect
121. #17988866C22semidirect
122. #17988866C22semidirect
123. #17988866C22semidirect
124. #17988866C22semidirect
125. #17988866C22semidirect
126. #17988865C22semidirect
128. #17988839C22semidirect
129. #17988834C22semidirect
131. #17988826C22semidirect
132. #17988826C22semidirect
133. #17988822C22semidirect
136. #17988817C22semidirect
138. #17988812C22semidirect
139. #17988812C22semidirect
140. #17988807C22semidirect
141. #17988804C22semidirect
142. #17988804C22semidirect
144. #17988801C22semidirect
145. #17988801C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
158. #17988696C22semidirect
161. #17988686C22semidirect
162. #17988686C22semidirect
163. C4×#11924018C22semidirect
166. #17988667C22semidirect
167. #17988658C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
171. #17988650C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
174. #17988641C22semidirect
175. #17988628C22semidirect
176. #17988623C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
190. #501×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #480×C73C22semidirect
195. #478×C73C22semidirect
196. #477×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#107×C73C22semidirect
850. #3343D73semidirect
872. C73#62155semidirect
921. #501C2×D73semidirect
933. #484C2×D73semidirect
936. #483C2×D73semidirect
940. #482C2×D73semidirect
947. #480C2×D73semidirect
959. #478C2×D73semidirect
963. #477C2×D73semidirect
981. #468C2×D73semidirect
989. #465C2×D73semidirect
1015. #440C2×D73semidirect
1030. #428C2×D73semidirect
1034. C2×#107C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242672
#226238762
#226228892
#226228382
#226227442
#226226852
#226224292
#226224172
#226223672
#226222932
#226222732
#226220822
#226220102
#226219542
#226218982
#226217642
#226217382
#226213882
#226213462
#226212792
#226212182
#226211852
#226211552
#226201912
#226201102
#226200662
#226197792
#226197602
C2×#179888662
#226190712
C73×#33432
#6215573