Finite Group Databasebeta

← #33983189

Subgroups — #33983189

Order 18688.

1716 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#22624578C211yesmaximal, characteristic, complemented
2#22623877C211yesmaximal, characteristic, complemented
3#22622884C211yesmaximal, characteristic, complemented
4#22622805C211yesmaximal, characteristic, complemented
5#22622696C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622529C211yesmaximal, characteristic, complemented
8#22622497C211yesmaximal, characteristic, complemented
9#22622486C211yesmaximal, characteristic, complemented
10#22622467C211yesmaximal, characteristic, complemented
11#22622368C211yesmaximal, characteristic, complemented
12#22622328C211yesmaximal, characteristic, complemented
13#22622157C211yesmaximal, characteristic, complemented
14#22622154C211yesmaximal, characteristic, complemented
15#22622138C211yesmaximal, characteristic, complemented
16#22622094C211yesmaximal, characteristic, complemented
17#22622078C211yesmaximal, characteristic, complemented
18#22621772C211yesmaximal, characteristic, complemented
19#22621339C211yesmaximal, characteristic, complemented
20#22621330C211yesmaximal, characteristic, complemented
21#22621223C211yesmaximal, characteristic, complemented
22#22621191C211yesmaximal, characteristic, complemented
23#22621115C211yesmaximal, characteristic, complemented
24#22620207C211yesmaximal, characteristic, complemented
25#22620109C211yesmaximal, characteristic, complemented
26#22619977C211yesmaximal, characteristic, complemented
27#22619779C211yesmaximal, characteristic, complemented
28#22619763C211yesmaximal, characteristic, complemented
29#22619723C211yesmaximal, characteristic, complemented
30#22619078C211yesmaximal, characteristic, complemented
31C73×#3262C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989319C2211yescharacteristic
35#17989316C2211yescharacteristic, complemented
36#17989308C2211yescharacteristic
37#17989304—21no—
38#17989302C2211yescharacteristic, complemented
39#17989298C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989289C2211yescharacteristic
42#17989288—21no—
43#17989284C2211yescharacteristic
44#17989284C2211yescharacteristic, complemented
45#17989279C2211yescharacteristic, complemented
46#17989278C2211yescharacteristic, complemented
47#17989274—21no—
48#17989271C2211yescharacteristic
49#17989267—21no—
50#17989262—21no—
51#17989240C2211yescharacteristic
52#17989230—21no—
53#17989230C2211yescharacteristic
54#17989228C2211yescharacteristic
55#17989221C2211yescharacteristic
56#17989215C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989206—21no—
59#17989206C2211yescharacteristic, complemented
60#17989201—21no—
61#17989197—21no—
62#17989188C2211yescharacteristic
63#17989186—21no—
64#17989183—21no—
65#17989173—21no—
66#17989142C2211yescharacteristic, complemented
67#17989124C2211yescharacteristic
68#17989116C2211yescharacteristic, complemented
69#17989115C2211yescharacteristic
70#17989100—21no—
71#123×D73—21no—
72#17989069C2211yescharacteristic
73#17989061C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988993C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988983C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988946C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988927C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988915C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic
95#17988914C2211yescharacteristic
96#17988914C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988908C2211yescharacteristic
99#17988908C2211yescharacteristic, complemented
100#17988904C2211yescharacteristic, complemented
101#17988904C2211yescharacteristic, complemented
102#17988904C2211yescharacteristic, complemented
103#17988903C2211yescharacteristic
104#17988902C2211yescharacteristic, complemented
105#17988896C2211yescharacteristic, complemented
106#17988896C2211yescharacteristic, complemented
107#17988894C2211yescharacteristic, complemented
108#17988892C2211yescharacteristic, complemented
109#17988890C2211yescharacteristic
110#17988890C2211yescharacteristic
111#17988890C2211yescharacteristic
112#17988889C2211yescharacteristic, complemented
113#17988889C2211yescharacteristic, complemented
114#17988889C2211yescharacteristic, complemented
115#17988888C2211yescharacteristic
116#17988888C2211yescharacteristic
117#17988888C2211yescharacteristic, complemented
118#17988888C2211yescharacteristic, complemented
119#17988887C2211yescharacteristic, complemented
120#17988885C2211yescharacteristic, complemented
121#17988880C2211yescharacteristic, complemented
122#17988878C2211yescharacteristic
123#17988878C2211yescharacteristic, complemented
124#17988877C2211yescharacteristic, complemented
125#17988874C2211yescharacteristic, complemented
126#17988872C2211yescharacteristic, complemented
127#17988868C2211yescharacteristic
128#17988868C2211yescharacteristic, complemented
129#17988866C2211yescharacteristic
130#17988864C2211yescharacteristic
131#17988842C2211yescharacteristic, complemented
132#17988839C2211yescharacteristic
133#17988839C2211yescharacteristic, complemented
134#17988836C2211yescharacteristic
135#17988830C2211yescharacteristic, complemented
136#17988830C2211yescharacteristic, complemented
137#17988820C2211yescharacteristic, complemented
138#17988819C2211yescharacteristic, complemented
139#17988811C2211yescharacteristic, complemented
140#17988804C2211yescharacteristic, complemented
141#17988799C2211yescharacteristic
142#17988799C2211yescharacteristic, complemented
143#17988785C2211yescharacteristic
144#17988780C2211yescharacteristic
145#17988748C2211yescharacteristic
146#17988737C2211yescharacteristic
147#17988736C2211yescharacteristic
148#17988731C2211yescharacteristic
149#17988720C2211yescharacteristic
150#17988719C2211yescharacteristic
151#17988716C2211yescharacteristic, complemented
152#17988711C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic
154#17988696C2211yescharacteristic
155#17988694C2211yescharacteristic, complemented
156#17988685C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159C4×#11924015C2211yescharacteristic
160#17988672C2211yescharacteristic
161#17988672C2211yescharacteristic
162D8×Dic73C2211yescharacteristic, complemented
163C4×#11924013C2211yescharacteristic, complemented
164#17988667C2211yescharacteristic
165#17988664C2211yescharacteristic, complemented
166#17988663C2211yescharacteristic
167#17988663C2211yescharacteristic, complemented
168#17988658C2211yescharacteristic
169#17988657C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic, complemented
171#17988648C2211yescharacteristic, complemented
172#17988647C2211yescharacteristic, complemented
173#17988639C2211yescharacteristic, complemented
174#17988629C2211yescharacteristic, complemented
175#17988628C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177#17988628C2211yescharacteristic, complemented
178#17988625C2211yescharacteristic, complemented
179#107×D73C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic
183#17988590C2211yescharacteristic
184#17988590C2211yescharacteristic
185#17988587C2211yescharacteristic
186#17988582C2211yescharacteristic
187C2×#14556513C2211yescharacteristic
188#542×C73C2211yescharacteristic
189#542×C73C2211yescharacteristic, complemented
190#477×C73C2211yescharacteristic, complemented
191#477×C73C2211yescharacteristic, complemented
192#474×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#466×C73C2211yescharacteristic
198#464×C73C2211yescharacteristic, complemented
199#464×C73C2211yescharacteristic, complemented
200#463×C73C2211yescharacteristic, complemented
201#463×C73C2211yescharacteristic, complemented
202#424×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C2×D4×D73—21no—
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924015C2311yescharacteristic
210C2×#11924015C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924013C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×#11924011C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×C8×D73C2311yescharacteristic
217#14556591—21no—
218#14556591C2311yescharacteristic
219#14556591C2311yescharacteristic
220#14556590—21no—
221#14556590C2311yescharacteristic
222#14556589—21no—
223#14556587C2311yescharacteristic
224#14556586—21no—
225#14556586—21no—
226#14556586—21no—
227#14556586D411yescharacteristic
228#14556585—21no—
229#14556584—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584D411yescharacteristic
237#14556583C2311yescharacteristic
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582—21no—
241#14556582—21no—
242#14556582—21no—
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581D411yescharacteristic
252#14556580C2311yescharacteristic
253#14556577—21no—
254#14556577—21no—
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577D411yescharacteristic
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576D411yescharacteristic
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556574—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573D411yescharacteristic
276#14556572—21no—
277#14556572—21no—
278#14556571—21no—
279#14556571—21no—
280#14556570—21no—
281#14556569—21no—
282#14556569D411yescharacteristic
283#14556568—21no—
284#14556568—21no—
285#14556568—21no—
286#14556568—21no—
287#14556568—21no—
288#14556567—21no—
289#14556567—21no—
290#14556567—21no—
291#14556567—21no—
292#14556567—21no—
293#14556567C2311yescharacteristic
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556566—21no—
297#14556566C2311yescharacteristic
298#14556566C2311yescharacteristic
299#14556565—21no—
300#14556565—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564D411yescharacteristic
305#14556563—21no—
306#14556562—21no—
307#14556562—21no—
308#14556562C2311yescharacteristic
309#14556562C2311yescharacteristic
310#14556562C2311yescharacteristic
311#14556561—21no—
312#14556561—21no—
313#14556561—21no—
314#14556559—21no—
315Q8×Dic73—21no—
316Q8×Dic73C2311yescharacteristic
317Q8×Dic73C2311yescharacteristic
318Q8×Dic73C2311yescharacteristic
319C4×Dic146—21no—
320C4×Dic146C2311yescharacteristic
321#14556556—21no—
322#14556556—21no—
323C4×D292—21no—
324C4×D292—21no—
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330D4×Dic73—21no—
331D4×Dic73C2311yescharacteristic
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553C2311yescharacteristic
338#14556553C2311yescharacteristic
339C4×C22⋊D73—21no—
340C4×C22⋊D73C2311yescharacteristic
341C4×C22⋊D73C2311yescharacteristic
342#14556551—21no—
343#14556551—21no—
344#14556551—21no—
345#14556551—21no—
346#14556551—21no—
347#14556550—21no—
348#14556550C2311yescharacteristic
349#14556550C2311yescharacteristic
350#14556549—21no—
351#14556549C2311yescharacteristic
352#14556549C2311yescharacteristic
353#14556549C2311yescharacteristic
354#14556548—21no—
355#14556548—21no—
356#14556548—21no—
357#14556548C2311yescharacteristic
358#14556547—21no—
359#14556547—21no—
360C2×C4⋊Dic73C2311yescharacteristic
361C2×#11924007—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73—21no—
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C22⋊C4×D73—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×Q16×C73C2311yescharacteristic
436C2×SD16×C73C2311yescharacteristic
437C2×SD16×C73C2311yescharacteristic
438C2×D8×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442C4⋊Q8×C73C2311yescharacteristic
443#126×C73—21no—
444#126×C73—21no—
445#124×C73—21no—
446#124×C73—21no—
447#124×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#123×C73—21no—
450#123×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73C2311yescharacteristic
454C22⋊Q8×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×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×Dic146C2×D411yescharacteristic
487C2×D292—22no—
488C2×D292—21no—
489C2×D292—21no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—41no—
493C2×D292C2×D411yescharacteristic
494C2×D292C2411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73C2×D411yescharacteristic
503C2×C22⋊D73C2×D411yescharacteristic
504D4×D73—22no—
505D4×D73—41no—
506D4×D73—82no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—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—82no—
522C2×C4×D73C2×D411yescharacteristic
523C2×C4×D73C2×D411yescharacteristic
524C2×C4×D73C2411yescharacteristic
525C2×C4×D73C2411yescharacteristic
526#11924015—22no—
527#11924015—41no—
528#11924013—22no—
529#11924013—41no—
530#11924011—41no—
531#11924011—41no—
532#11924011—41no—
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C8×D73—41no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73C2×D411yescharacteristic
550C4⋊Dic73C2×D411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
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
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73C2×D411yescharacteristic
588C22⋊Dic73C2×D411yescharacteristic
589#11924005—21no—
590#11924005—21no—
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#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73C2×D411yescharacteristic
620C4×Dic73C2×D411yescharacteristic
621C4×Dic73C2411yescharacteristic
622C4×Dic73C2411yescharacteristic
623C2×Q8×C73—21no—
624C2×Q8×C73—21no—
625C2×Q8×C73C2411yescharacteristic
626C2×Q8×C73C2411yescharacteristic
627C2×D4×C73—21no—
628C2×D4×C73—21no—
629C2×D4×C73C2411yescharacteristic
630C2×D4×C73C2411yescharacteristic
631C22×C4×C73—21no—
632C22×C4×C73—21no—
633C22×C4×C73C2411yescharacteristic
634Q16×C73—41no—
635SD16×C73—41no—
636SD16×C73—41no—
637D8×C73—41no—
638M16×C73—41no—
639C2×C8×C73—41no—
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
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×C73—21no—
666C22⋊C4×C73C2×D411yescharacteristic
667C22⋊C4×C73C2×D411yescharacteristic
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73C22×D411yescharacteristic
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—21no—
688Q8×C73—21no—
689Q8×C73—81no—
690Q8×C73—81no—
691D4×C73—21no—
692D4×C73—21no—
693D4×C73—21no—
694D4×C73—21no—
695D4×C73—81no—
696D4×C73—81no—
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—81no—
706C2×C4×C73—81no—
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—41no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—81no—
728C2×Dic73—81no—
729C2×Dic73—81no—
730C2×Dic73—81no—
731C2×Dic73C22×D411yescharacteristic
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737D292—21no—
738D292—21no—
739D292—21no—
740D292—41no—
741D292—42no—
742D292—42no—
743D292—42no—
744D292—81no—
745D2922−1+412yes—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—41no—
751C4×D73—41no—
752C4×D73—42no—
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—
762Dic146—41no—
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—41no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73C23×D411yescharacteristic
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—22no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—84no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
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—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—41no—
825C2×C73—81no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—42no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262D7311yescharacteristic, complemented
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—1461no—
894#542—1461no—
895#542C2×D7311yescharacteristic
896#542C2×D7311yescharacteristic, complemented
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—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#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#477—731no—
958#477C2×D7311yescharacteristic, complemented
959#477C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474C2×D7311yescharacteristic, complemented
970#474C2×D7311yescharacteristic, complemented
971#470—731no—
972#469—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468C2×D7311yescharacteristic
978#468C2×D7311yescharacteristic, complemented
979#467C2×D7311yescharacteristic, complemented
980#466—731no—
981#466C2×D7311yescharacteristic
982#465—731no—
983#464—731no—
984#464C2×D7311yescharacteristic, complemented
985#464C2×D7311yescharacteristic, complemented
986#463—731no—
987#463—731no—
988#463—731no—
989#463C2×D7311yescharacteristic, complemented
990#463C2×D7311yescharacteristic, complemented
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—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428—731no—
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424C2×D7311yescharacteristic, complemented
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418—731no—
1034#417—731no—
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—1461no—
1042C23×C4—1461no—
1043C2×Q16C22×D7311yescharacteristic
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16C22×D7311yescharacteristic
1047C2×SD16C22×D7311yescharacteristic
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8C22×D7311yescharacteristic
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—1461no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—21no—
1067#126—21no—
1068#126—731no—
1069#126—731no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
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#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—731no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#124—21no—
1097#124—21no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124C22×D7311yescharacteristic
1106#124C22×D7311yescharacteristic
1107#123—21no—
1108#123—21no—
1109#123—731no—
1110#123—731no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
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—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
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—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—1461no—
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—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8C22×D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
1181C4×D4—731no—
1182C4×D4—731no—
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—1461no—
1194C4×D4—1461no—
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
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
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#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—731no—
1320C2×Q8—1461no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8C23×D7311yescharacteristic
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—21no—
1326C2×D4—21no—
1327C2×D4—2921no—
1328C2×D4—2921no—
1329C2×D4—5842no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1462no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1462no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—5842no—
1352C22×C4—731no—
1353C22×C4—731no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—1461no—
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×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—41no—
1372SD16—41no—
1373SD16—41no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—41no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—41no—
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—731no—
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⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4D4×D7311yescharacteristic
1441C4⋊C4D4×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—731no—
1463C22⋊C4—731no—
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⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—2922no—
1509C23—2922no—
1510C23—2922no—
1511C23—5841no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—21no—
1522Q8—21no—
1523Q8—81no—
1524Q8—81no—
1525Q8—2921no—
1526Q8—5841no—
1527Q8—5841no—
1528Q8—5841no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—21no—
1533D4—81no—
1534D4—81no—
1535D4—2922no—
1536D4—2921no—
1537D4—2922no—
1538D4—2922no—
1539D4—2921no—
1540D4—2921no—
1541D4—2922no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—5841no—
1548D4—732no—
1549D4—1461no—
1550D4—1461no—
1551D4—1461no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—81no—
1561C2×C4—81no—
1562C2×C4—2921no—
1563C2×C4—2921no—
1564C2×C4—2922no—
1565C2×C4—2922no—
1566C2×C4—5841no—
1567C2×C4—5841no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
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—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—5844no—
1623C22—11682no—
1624C22—1462no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C42−1+4×D7311yescharacteristic
1656C4#1798942211yescharacteristic
1657C2—41no—
1658C2—81no—
1659C2—81no—
1660C2—2922no—
1661C2—2921no—
1662C2—2921no—
1663C2—5841no—
1664C2#2262360611yescharacteristic
1665C2#2262470111yescharacteristic
1666C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3262C2
socleC22×C73C23×D4
hypercenter#3262D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3262

Complements

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

NH ≅ G/Ntype
1. #22624578C2semidirect
2. #22623877C2semidirect
3. #22622884C2semidirect
4. #22622805C2semidirect
5. #22622696C2semidirect
6. #22622586C2semidirect
7. #22622529C2semidirect
8. #22622497C2semidirect
9. #22622486C2semidirect
10. #22622467C2semidirect
11. #22622368C2semidirect
12. #22622328C2semidirect
13. #22622157C2semidirect
14. #22622154C2semidirect
15. #22622138C2semidirect
16. #22622094C2semidirect
17. #22622078C2semidirect
18. #22621772C2semidirect
19. #22621339C2semidirect
20. #22621330C2semidirect
21. #22621223C2semidirect
22. #22621191C2semidirect
23. #22621115C2semidirect
24. #22620207C2semidirect
25. #22620109C2semidirect
26. #22619977C2semidirect
27. #22619779C2semidirect
28. #22619763C2semidirect
29. #22619723C2semidirect
30. #22619078C2semidirect
31. C73×#3262C2semidirect
35. #17989316C22semidirect
38. #17989302C22semidirect
40. #17989296C22semidirect
44. #17989284C22semidirect
45. #17989279C22semidirect
46. #17989278C22semidirect
56. #17989215C22semidirect
57. #17989214C22semidirect
59. #17989206C22semidirect
66. #17989142C22semidirect
68. #17989116C22semidirect
75. #17988995C22semidirect
76. #17988993C22semidirect
77. #17988988C22semidirect
78. #17988988C22semidirect
79. #17988988C22semidirect
80. #17988983C22semidirect
82. #17988946C22semidirect
83. #17988943C22semidirect
84. #17988943C22semidirect
85. #17988941C22semidirect
87. #17988927C22semidirect
88. #17988927C22semidirect
89. #17988925C22semidirect
90. #17988925C22semidirect
91. #17988921C22semidirect
92. #17988916C22semidirect
93. #17988915C22semidirect
96. #17988914C22semidirect
97. #17988909C22semidirect
99. #17988908C22semidirect
100. #17988904C22semidirect
101. #17988904C22semidirect
102. #17988904C22semidirect
104. #17988902C22semidirect
105. #17988896C22semidirect
106. #17988896C22semidirect
107. #17988894C22semidirect
108. #17988892C22semidirect
112. #17988889C22semidirect
113. #17988889C22semidirect
114. #17988889C22semidirect
117. #17988888C22semidirect
118. #17988888C22semidirect
119. #17988887C22semidirect
120. #17988885C22semidirect
121. #17988880C22semidirect
123. #17988878C22semidirect
124. #17988877C22semidirect
125. #17988874C22semidirect
126. #17988872C22semidirect
128. #17988868C22semidirect
131. #17988842C22semidirect
133. #17988839C22semidirect
135. #17988830C22semidirect
136. #17988830C22semidirect
137. #17988820C22semidirect
138. #17988819C22semidirect
139. #17988811C22semidirect
140. #17988804C22semidirect
142. #17988799C22semidirect
151. #17988716C22semidirect
152. #17988711C22semidirect
155. #17988694C22semidirect
156. #17988685C22semidirect
157. SD16×Dic73C22semidirect
158. SD16×Dic73C22semidirect
162. D8×Dic73C22semidirect
163. C4×#11924013C22semidirect
165. #17988664C22semidirect
167. #17988663C22semidirect
169. #17988657C22semidirect
170. C8×C22⋊D73C22semidirect
171. #17988648C22semidirect
172. #17988647C22semidirect
173. #17988639C22semidirect
174. #17988629C22semidirect
175. #17988628C22semidirect
176. #17988628C22semidirect
177. #17988628C22semidirect
178. #17988625C22semidirect
179. #107×D73C22semidirect
180. #17988612C22semidirect
181. #17988609C22semidirect
189. #542×C73C22semidirect
190. #477×C73C22semidirect
191. #477×C73C22semidirect
192. #474×C73C22semidirect
193. #474×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
198. #464×C73C22semidirect
199. #464×C73C22semidirect
200. #463×C73C22semidirect
201. #463×C73C22semidirect
202. #424×C73C22semidirect
852. #3262D73semidirect
865. C73#62175semidirect
896. #542C2×D73semidirect
958. #477C2×D73semidirect
959. #477C2×D73semidirect
969. #474C2×D73semidirect
970. #474C2×D73semidirect
978. #468C2×D73semidirect
979. #467C2×D73semidirect
984. #464C2×D73semidirect
985. #464C2×D73semidirect
989. #463C2×D73semidirect
990. #463C2×D73semidirect
1029. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245782
#226238772
#226228842
#226228052
#226226962
#226225862
#226225292
#226224972
#226224862
#226224672
#226223682
#226223282
#226221572
#226221542
#226221382
#226220942
#226220782
#226217722
#226213392
#226213302
#226212232
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