Finite Group Databasebeta

← #33982790

Subgroups — #33982790

Order 18688.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624566C211yesmaximal, characteristic, complemented
2#22623895C211yesmaximal, characteristic, complemented
3#22622849C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622702C211yesmaximal, characteristic, complemented
6#22622685C211yesmaximal, characteristic, complemented
7#22622455C211yesmaximal, characteristic, complemented
8#22622447C211yesmaximal, characteristic, complemented
9#22622424C211yesmaximal, characteristic, complemented
10#22622348C211yesmaximal, characteristic, complemented
11#22622340C211yesmaximal, characteristic, complemented
12#22622082C211yesmaximal, characteristic, complemented
13#22622066C211yesmaximal, characteristic, complemented
14#22621970C211yesmaximal, characteristic, complemented
15#22621954C211yesmaximal, characteristic, complemented
16#22621787C211yesmaximal, characteristic, complemented
17#22621764C211yesmaximal, characteristic, complemented
18#22621395C211yesmaximal, characteristic, complemented
19#22621388C211yesmaximal, characteristic, complemented
20#22621259C211yesmaximal, characteristic, complemented
21#22621233C211yesmaximal, characteristic, complemented
22#22621220C211yesmaximal, characteristic, complemented
23#22621130C211yesmaximal, characteristic, complemented
24#22620110C211yesmaximal, characteristic, complemented
25#22620110C211yesmaximal, characteristic, complemented
26#22620038C211yesmaximal, characteristic, complemented
27#22619765C211yesmaximal, characteristic, complemented
28#22619760C211yesmaximal, characteristic, complemented
29#22619718C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3350C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989332—21no—
34#17989322C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989307—21no—
37#17989305C2211yescharacteristic, complemented
38#17989301C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989300C2211yescharacteristic
41#17989296C2211yescharacteristic, complemented
42#17989289C2211yescharacteristic, complemented
43#17989277C2211yescharacteristic
44#17989274—21no—
45#17989272C2211yescharacteristic, complemented
46#17989262—21no—
47#17989262—21no—
48#17989252C2211yescharacteristic
49#17989249—21no—
50#17989230—21no—
51#17989228C2211yescharacteristic
52#17989228C2211yescharacteristic
53D4×D292C2211yescharacteristic
54#17989218C2211yescharacteristic, complemented
55#17989215C2211yescharacteristic, complemented
56#17989210C2211yescharacteristic
57#17989210C2211yescharacteristic
58#17989205—21no—
59#17989204—21no—
60#17989204C2211yescharacteristic, complemented
61#17989204C2211yescharacteristic, complemented
62#17989194—21no—
63#17989179—21no—
64#17989176—21no—
65#17989176—21no—
66#17989143C2211yescharacteristic, complemented
67#17989138C2211yescharacteristic
68#17989124—21no—
69#17989119C2211yescharacteristic
70#17989119C2211yescharacteristic, complemented
71#124×D73—21no—
72#17989061C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×#11924029C2211yescharacteristic
75#17988994C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988993C2211yescharacteristic, complemented
78#17988991C2211yescharacteristic, complemented
79#17988984C2211yescharacteristic, complemented
80#17988953C2211yescharacteristic
81#17988952C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988928C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988920C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic
96#17988911C2211yescharacteristic
97#17988909C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic
99#17988901C2211yescharacteristic
100#17988896C2211yescharacteristic, complemented
101#17988894C2211yescharacteristic, complemented
102#17988890C2211yescharacteristic
103#17988890C2211yescharacteristic, complemented
104#17988890C2211yescharacteristic, complemented
105#17988888C2211yescharacteristic
106#17988886C2211yescharacteristic
107#17988886C2211yescharacteristic
108#17988886C2211yescharacteristic, complemented
109#17988886C2211yescharacteristic, complemented
110#17988884C2211yescharacteristic
111#17988881C2211yescharacteristic, complemented
112#17988880C2211yescharacteristic, complemented
113#17988879C2211yescharacteristic, complemented
114#17988876C2211yescharacteristic
115#17988876C2211yescharacteristic
116#17988876C2211yescharacteristic, complemented
117#17988876C2211yescharacteristic, complemented
118#17988876C2211yescharacteristic, complemented
119#17988875C2211yescharacteristic, complemented
120#17988871C2211yescharacteristic, complemented
121#17988870C2211yescharacteristic, complemented
122#17988866C2211yescharacteristic
123#17988866C2211yescharacteristic
124#17988866C2211yescharacteristic, complemented
125#17988866C2211yescharacteristic, complemented
126#17988866C2211yescharacteristic, complemented
127#17988865C2211yescharacteristic, complemented
128#17988843C2211yescharacteristic, complemented
129#17988838C2211yescharacteristic
130#17988833C2211yescharacteristic
131#17988826C2211yescharacteristic, complemented
132#17988822C2211yescharacteristic, complemented
133#17988822C2211yescharacteristic, complemented
134#17988821C2211yescharacteristic
135#17988817C2211yescharacteristic, complemented
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#17988716C2211yescharacteristic, complemented
155#17988715C2211yescharacteristic, complemented
156#17988697C2211yescharacteristic
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic, complemented
159#17988692C2211yescharacteristic, complemented
160#17988689C2211yescharacteristic
161#17988686C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988674C2211yescharacteristic
164#17988674C2211yescharacteristic, complemented
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988659C2211yescharacteristic
169#17988656C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic, complemented
171#17988650C2211yescharacteristic, complemented
172#17988645C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988642C2211yescharacteristic, complemented
175#17988630C2211yescharacteristic, complemented
176#17988624C2211yescharacteristic, complemented
177#17988623C2211yescharacteristic, complemented
178#17988622C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988613C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988591C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988582C2211yescharacteristic
186C2×#14556513C2211yescharacteristic
187C2×#14556511C2211yescharacteristic
188#556×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#482×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#476×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202#427×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×Q8×D73—21no—
206C22×D292C2311yescharacteristic
207C22×D292C2311yescharacteristic
208C2×D4×D73—21no—
209C2×#11924018C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924017C2311yescharacteristic
212C2×#11924017C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924012C2311yescharacteristic
217C22×#10596831C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591—21no—
221#14556590—21no—
222#14556590—21no—
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556588C2311yescharacteristic
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556585—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556584D411yescharacteristic
242#14556583—21no—
243#14556583C2311yescharacteristic
244#14556582—21no—
245#14556582D411yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580—21no—
254#14556580C2311yescharacteristic
255#14556580C2311yescharacteristic
256#14556579—21no—
257#14556579—21no—
258#14556579—21no—
259#14556578—21no—
260#14556578—21no—
261#14556578—21no—
262#14556578D411yescharacteristic
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573D411yescharacteristic
280#14556573D411yescharacteristic
281#14556572—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556571—21no—
286#14556571D411yescharacteristic
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568—21no—
303#14556567—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556564—21no—
313#14556564—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562D411yescharacteristic
317#14556562C2311yescharacteristic
318#14556561—21no—
319#14556561—21no—
320#14556561—21no—
321#14556561—21no—
322Q8×Dic73C2311yescharacteristic
323C4×Dic146—21no—
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556C2311yescharacteristic
330#14556556C2311yescharacteristic
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338D4×Dic73—21no—
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553—21no—
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556550—21no—
354#14556550—21no—
355#14556550C2311yescharacteristic
356#14556550C2311yescharacteristic
357#14556550C2311yescharacteristic
358#14556549—21no—
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556547—21no—
365#14556547—21no—
366C2×C4⋊Dic73C2311yescharacteristic
367C2×#11924007—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C42×D73—21no—
375C42×D73C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
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#14556502C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#126×C73—21no—
441#126×C73—21no—
442#125×C73C2311yescharacteristic
443#124×C73—21no—
444#123×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456#117×C73C2311yescharacteristic
457#117×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×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#11924029—82no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146C2×D411yescharacteristic
490C2×Dic146C2411yescharacteristic
491Q8×D73—82no—
492C2×D292—22no—
493C2×D292—22no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292—41no—
502C2×D292—41no—
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—82no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
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×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2411yescharacteristic
527#11924018—41no—
528#11924017—22no—
529#11924017—41no—
530#11924017—41no—
531#11924013—22no—
532#11924013—41no—
533#11924013—41no—
534#11924012—41no—
535C2×#10596831—41no—
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C2×#10596831C2411yescharacteristic
540C8×D73—41no—
541C8×D73—41no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2×D411yescharacteristic
552C4⋊Dic73C2×D411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557#11924007—21no—
558#11924007—21no—
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#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589C22⋊Dic73C2×D411yescharacteristic
590C22⋊Dic73C2×D411yescharacteristic
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
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#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625C4×Dic73C2411yescharacteristic
626C2×Q8×C73—21no—
627C2×Q8×C73C2411yescharacteristic
628C2×D4×C73—21no—
629C2×D4×C73—21no—
630C2×D4×C73C2×D411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73C2411yescharacteristic
635C22×C4×C73C2411yescharacteristic
636SD16×C73—41no—
637M16×C73—41no—
638C2×C8×C73—41no—
639C2×C8×C73C2411yescharacteristic
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73C2×D411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73—21no—
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—21no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—42no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—41no—
691D4×C73—81no—
692D4×C73—81no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
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—81no—
705C2×C4×C73—81no—
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C2511yescharacteristic
711C22⋊D73—41no—
712C22⋊D73—41no—
713C22⋊D73—81no—
714C22⋊D73—81no—
715C22⋊D73—81no—
716C2×Dic73—21no—
717C2×Dic73—21no—
718C2×Dic73—21no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—81no—
722C2×Dic73—81no—
723C2×Dic73—81no—
724C2×Dic73C22×D411yescharacteristic
725C2×Dic73C22×D411yescharacteristic
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731D292—21no—
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—42no—
737D292—42no—
738D292—42no—
739D292—42no—
740D292—81no—
741D292—81no—
742D292—81no—
743D2922−1+412yes—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—41no—
747C4×D73—41no—
748C4×D73—42no—
749C4×D73—42no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757Dic146—21no—
758Dic146—21no—
759Dic146—41no—
760Dic146—81no—
761Dic146—81no—
762Dic146—81no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—21no—
777C22×C73—21no—
778C22×C73—21no—
779C22×C73—21no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—22no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—162no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—41no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62159—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—42no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3514—731no—
836#3386—731no—
837#3384—731no—
838#3371—731no—
839#3370—731no—
840#3350D7311yescharacteristic, complemented
841#3349—731no—
842#3348—731no—
843#3347—731no—
844#3341—731no—
845#3340—731no—
846#3319—731no—
847#3318—731no—
848#3311—731no—
849#3310—731no—
850#3297—731no—
851#3296—731no—
852#3263—731no—
853#3262—731no—
854#3247—731no—
855#3244—731no—
856#3243—731no—
857#3235—731no—
858#3118—731no—
859#3118—731no—
860#3111—731no—
861#3081—731no—
862#3081—731no—
863#3076—731no—
864#2992—731no—
865C73#6215911yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#556C2×D7311yescharacteristic
873#555—731no—
874#555—731no—
875#555—731no—
876#554—731no—
877#553—731no—
878#553C2×D7311yescharacteristic
879#552—731no—
880#552—731no—
881#552—1461no—
882#551—1461no—
883#551—1461no—
884D4×Q8—731no—
885#548—1461no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—731no—
896#542—1461no—
897#542—1461no—
898#541—1461no—
899#539—1461no—
900#538—1461no—
901#538—1461no—
902#533—731no—
903#532—731no—
904#529—731no—
905#529—731no—
906#529—1461no—
907C2×#124—1461no—
908#518—731no—
909#518—731no—
910C4×#41—731no—
911#501—731no—
912#501—731no—
913#501—731no—
914#501C2×D7311yescharacteristic, complemented
915#500—731no—
916#498—731no—
917#490—731no—
918#490—731no—
919#489—731no—
920#489—731no—
921#488—731no—
922#488—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#485C2×D7311yescharacteristic, complemented
928#484—731no—
929#483C2×D7311yescharacteristic, complemented
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#482—731no—
937#482C2×D7311yescharacteristic, complemented
938#482C2×D7311yescharacteristic, complemented
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479C2×D7311yescharacteristic, complemented
944#478—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#477—731no—
954#477—731no—
955#477—731no—
956#476—731no—
957#476—731no—
958#476—731no—
959#476—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic, complemented
963#475—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#470—731no—
972#469—731no—
973#468—731no—
974#468C2×D7311yescharacteristic, complemented
975#467—731no—
976#466—731no—
977#466—731no—
978#466—731no—
979#465—731no—
980#465—731no—
981#465—731no—
982#465C2×D7311yescharacteristic, complemented
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#440—731no—
1006#440—731no—
1007#440—731no—
1008#440C2×D7311yescharacteristic, complemented
1009C4×SD16—731no—
1010C4×SD16—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#435—731no—
1014#435—731no—
1015#435—731no—
1016#435C2×D7311yescharacteristic
1017C8×D4—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#432—731no—
1022#428—731no—
1023#428C2×D7311yescharacteristic, complemented
1024#427—731no—
1025#427—731no—
1026#427—731no—
1027#427C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424—731no—
1030C2×C4⋊C8—731no—
1031#418—731no—
1032#418—731no—
1033#416—731no—
1034#416—731no—
1035C2×#102—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×Q8—1461no—
1040C22×D4—731no—
1041C22×D4—731no—
1042C22×D4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16C22×D7311yescharacteristic
1053C22×C8—731no—
1054C22×C8—731no—
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—731no—
1062C4⋊Q8—731no—
1063C4⋊Q8—1461no—
1064C4⋊Q8—1461no—
1065C4⋊Q8—1461no—
1066C4⋊Q8C22×D7311yescharacteristic
1067#127—731no—
1068#126—21no—
1069#126—21no—
1070#126—21no—
1071#126—731no—
1072#126—731no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#124—21no—
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#124—1461no—
1108#124—1461no—
1109#124—1461no—
1110#124—1461no—
1111#124—1461no—
1112#124—1461no—
1113#123—21no—
1114#123—731no—
1115#123—731no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—731no—
1129C22⋊Q8—731no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150#121—21no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—1461no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121C22×D7311yescharacteristic
1166#121C22×D7311yescharacteristic
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—21no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×Q8C22×D7311yescharacteristic
1182C4×D4—21no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117C22×D7311yescharacteristic
1221#117C22×D7311yescharacteristic
1222#117C22×D7311yescharacteristic
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4C22×D7311yescharacteristic
1226C2×C22⋊C4—1461no—
1227C2×C22⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C42—731no—
1233C2×C42—1461no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106C22×D7311yescharacteristic
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
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#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8C22×D7311yescharacteristic
1305C22⋊C8C22×D7311yescharacteristic
1306#97—731no—
1307#97—731no—
1308#97—731no—
1309#97C22×D7311yescharacteristic
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—5842no—
1319C2×Q8—731no—
1320C2×Q8—731no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8C23×D7311yescharacteristic
1328C2×D4—21no—
1329C2×D4—21no—
1330C2×D4—2921no—
1331C2×D4—2921no—
1332C2×D4—5842no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—731no—
1338C2×D4—1461no—
1339C2×D4—1462no—
1340C2×D4—1462no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4D4×D7311yescharacteristic
1351C2×D4C23×D7311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4C23×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—41no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381C2×C8—41no—
1382C2×C8—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4D4×D7311yescharacteristic
1436C4⋊C4C23×D7311yescharacteristic
1437C4⋊C4C23×D7311yescharacteristic
1438C4⋊C4C23×D7311yescharacteristic
1439C4⋊C4C23×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1487C22⋊C4D4×D7311yescharacteristic
1488C42—21no—
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42—1461no—
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—5841no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—1461no—
1515C23—1461no—
1516C23—1461no—
1517C23C2×D4×D7311yescharacteristic
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—42no—
1522Q8—2921no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529Q8—1461no—
1530Q8—1461no—
1531D4—21no—
1532D4—21no—
1533D4—41no—
1534D4—81no—
1535D4—81no—
1536D4—2922no—
1537D4—2922no—
1538D4—2922no—
1539D4—2922no—
1540D4—2921no—
1541D4—2921no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—732no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552D4—1461no—
1553D4—1461no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2922no—
1568C2×C4—2921no—
1569C2×C4—2921no—
1570C2×C4—2922no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—5841no—
1580C2×C4—5841no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—731no—
1586C2×C4—731no—
1587C2×C4—731no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—2921no—
1625C22—11682no—
1626C22—11682no—
1627C22—1462no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—1461no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360511yescharacteristic
1665C2#2262470311yescharacteristic
1666C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3350C2
socleC22×C73C23×D4
hypercenter#3350D73
hypocenterC73#62159
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. #22624566C2semidirect
2. #22623895C2semidirect
3. #22622849C2semidirect
4. #22622825C2semidirect
5. #22622702C2semidirect
6. #22622685C2semidirect
7. #22622455C2semidirect
8. #22622447C2semidirect
9. #22622424C2semidirect
10. #22622348C2semidirect
11. #22622340C2semidirect
12. #22622082C2semidirect
13. #22622066C2semidirect
14. #22621970C2semidirect
15. #22621954C2semidirect
16. #22621787C2semidirect
17. #22621764C2semidirect
18. #22621395C2semidirect
19. #22621388C2semidirect
20. #22621259C2semidirect
21. #22621233C2semidirect
22. #22621220C2semidirect
23. #22621130C2semidirect
24. #22620110C2semidirect
25. #22620110C2semidirect
26. #22620038C2semidirect
27. #22619765C2semidirect
28. #22619760C2semidirect
29. #22619718C2semidirect
30. #22619066C2semidirect
31. C73×#3350C2semidirect
35. #17989314C22semidirect
37. #17989305C22semidirect
38. #17989301C22semidirect
41. #17989296C22semidirect
42. #17989289C22semidirect
45. #17989272C22semidirect
54. #17989218C22semidirect
55. #17989215C22semidirect
60. #17989204C22semidirect
61. #17989204C22semidirect
66. #17989143C22semidirect
70. #17989119C22semidirect
75. #17988994C22semidirect
76. #17988994C22semidirect
77. #17988993C22semidirect
78. #17988991C22semidirect
79. #17988984C22semidirect
82. #17988948C22semidirect
83. #17988948C22semidirect
84. #17988943C22semidirect
85. #17988943C22semidirect
86. #17988930C22semidirect
87. #17988928C22semidirect
88. #17988928C22semidirect
89. #17988925C22semidirect
90. #17988920C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
97. #17988909C22semidirect
100. #17988896C22semidirect
101. #17988894C22semidirect
103. #17988890C22semidirect
104. #17988890C22semidirect
108. #17988886C22semidirect
109. #17988886C22semidirect
111. #17988881C22semidirect
112. #17988880C22semidirect
113. #17988879C22semidirect
116. #17988876C22semidirect
117. #17988876C22semidirect
118. #17988876C22semidirect
119. #17988875C22semidirect
120. #17988871C22semidirect
121. #17988870C22semidirect
124. #17988866C22semidirect
125. #17988866C22semidirect
126. #17988866C22semidirect
127. #17988865C22semidirect
128. #17988843C22semidirect
131. #17988826C22semidirect
132. #17988822C22semidirect
133. #17988822C22semidirect
135. #17988817C22semidirect
136. #17988817C22semidirect
138. #17988812C22semidirect
139. #17988812C22semidirect
140. #17988807C22semidirect
141. #17988804C22semidirect
142. #17988804C22semidirect
144. #17988801C22semidirect
145. #17988801C22semidirect
154. #17988716C22semidirect
155. #17988715C22semidirect
158. #17988696C22semidirect
159. #17988692C22semidirect
162. #17988686C22semidirect
164. #17988674C22semidirect
166. #17988667C22semidirect
167. #17988661C22semidirect
169. #17988656C22semidirect
170. C8×C22⋊D73C22semidirect
171. #17988650C22semidirect
172. #17988645C22semidirect
173. #17988645C22semidirect
174. #17988642C22semidirect
175. #17988630C22semidirect
176. #17988624C22semidirect
177. #17988623C22semidirect
178. #17988622C22semidirect
179. #17988615C22semidirect
180. #17988613C22semidirect
181. C4⋊C8×D73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #482×C73C22semidirect
195. #479×C73C22semidirect
196. #476×C73C22semidirect
197. #468×C73C22semidirect
198. #465×C73C22semidirect
199. #440×C73C22semidirect
201. #428×C73C22semidirect
202. #427×C73C22semidirect
840. #3350D73semidirect
865. C73#62159semidirect
914. #501C2×D73semidirect
927. #485C2×D73semidirect
929. #483C2×D73semidirect
937. #482C2×D73semidirect
938. #482C2×D73semidirect
943. #479C2×D73semidirect
962. #476C2×D73semidirect
974. #468C2×D73semidirect
982. #465C2×D73semidirect
1008. #440C2×D73semidirect
1023. #428C2×D73semidirect
1027. #427C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245662
#226238952
#226228492
#226228252
#226227022
#226226852
#226224552
#226224472
#226224242
#226223482
#226223402
#226220822
#226220662
#226219702
#226219542
#226217872
#226217642
#226213952
#226213882
#226212592
#226212332
#226212202
#226211302
#226201102
#226200382
#226197652
#226197602
#226197182
#226190662
C73×#33502
#6215973