Finite Group Databasebeta

← #33968007

Subgroups — #33968007

Order 18688.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623546C211yesmaximal, characteristic, complemented
2#22623006C211yesmaximal, characteristic, complemented
3#22622876C211yesmaximal, characteristic, complemented
4#22622767C211yesmaximal, characteristic, complemented
5#22622758C211yesmaximal, characteristic, complemented
6#22622446C211yesmaximal, characteristic, complemented
7#22622371C211yesmaximal, characteristic, complemented
8#22622293C211yesmaximal, characteristic, complemented
9#22622111C211yesmaximal, characteristic, complemented
10#22622027C211yesmaximal, characteristic, complemented
11#22621976C211yesmaximal, characteristic, complemented
12#22621892C211yesmaximal, characteristic, complemented
13#22621812C211yesmaximal, characteristic, complemented
14#22621766C211yesmaximal, characteristic, complemented
15#22621634C211yesmaximal, characteristic, complemented
16#22621482C211yesmaximal, characteristic, complemented
17#22621437C211yesmaximal, characteristic, complemented
18#22620654C211yesmaximal, characteristic, complemented
19#22620641C211yesmaximal, characteristic, complemented
20#22620634C211yesmaximal, characteristic, complemented
21#22620098C211yesmaximal, characteristic, complemented
22#22620093C211yesmaximal, characteristic, complemented
23#22620069C211yesmaximal, characteristic, complemented
24#22620057C211yesmaximal, characteristic, complemented
25#22620040C211yesmaximal, characteristic, complemented
26#22620034C211yesmaximal, characteristic, complemented
27#22618945C211yesmaximal, characteristic, complemented
28C4×#14556621C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30C2×#17988687C211yesmaximal, characteristic, complemented
31C73×#3475C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924016C2211yescharacteristic
35#17989315C2211yescharacteristic, complemented
36#17989310C2211yescharacteristic, complemented
37#17989305—21no—
38#17989277C2211yescharacteristic
39#17989277C2211yescharacteristic, complemented
40#17989270—21no—
41#17989270—21no—
42D4×Dic146C2211yescharacteristic
43#17989246C2211yescharacteristic
44#17989246C2211yescharacteristic, complemented
45#17989241C2211yescharacteristic
46#17989236—21no—
47#17989144C2211yescharacteristic, complemented
48#17989141—21no—
49#17989121C2211yescharacteristic
50#17989121C2211yescharacteristic, complemented
51#17989117—21no—
52#17989117—21no—
53C4×#11924028C2211yescharacteristic, complemented
54C4×#11924027—21no—
55C2×C4×Dic146C2211yescharacteristic
56C2×C4×Dic146C2211yescharacteristic, complemented
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988982C2211yescharacteristic
61#17988979C2211yescharacteristic, complemented
62#17988969C2211yescharacteristic
63#17988957C2211yescharacteristic, complemented
64#17988955C2211yescharacteristic, complemented
65#17988949C2211yescharacteristic, complemented
66#17988946C2211yescharacteristic
67#17988944C2211yescharacteristic, complemented
68#17988941C2211yescharacteristic
69#17988928C2211yescharacteristic, complemented
70#17988928C2211yescharacteristic, complemented
71#17988928C2211yescharacteristic, complemented
72#17988925C2211yescharacteristic, complemented
73#17988920C2211yescharacteristic, complemented
74#17988917C2211yescharacteristic
75#17988915C2211yescharacteristic
76#17988915C2211yescharacteristic
77#17988911C2211yescharacteristic, complemented
78#17988908C2211yescharacteristic
79#17988903C2211yescharacteristic
80#17988900C2211yescharacteristic
81#17988894C2211yescharacteristic, complemented
82#17988891C2211yescharacteristic, complemented
83#17988891C2211yescharacteristic, complemented
84#17988891C2211yescharacteristic, complemented
85#17988887C2211yescharacteristic
86#17988887C2211yescharacteristic
87#17988887C2211yescharacteristic
88#17988884C2211yescharacteristic, complemented
89#17988882C2211yescharacteristic, complemented
90#17988877C2211yescharacteristic
91#17988869C2211yescharacteristic, complemented
92#17988869C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic
95#17988835C2211yescharacteristic, complemented
96#17988831C2211yescharacteristic
97#17988826C2211yescharacteristic
98#17988826C2211yescharacteristic
99#17988826C2211yescharacteristic, complemented
100#17988826C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic
102#17988818C2211yescharacteristic
103#17988814C2211yescharacteristic
104#17988814C2211yescharacteristic
105#17988809C2211yescharacteristic, complemented
106#17988806C2211yescharacteristic
107#17988806C2211yescharacteristic
108#17988806C2211yescharacteristic
109#17988802C2211yescharacteristic
110#17988802C2211yescharacteristic
111#17988802C2211yescharacteristic
112#17988799C2211yescharacteristic
113#17988797C2211yescharacteristic, complemented
114#17988794C2211yescharacteristic, complemented
115#17988794C2211yescharacteristic, complemented
116#17988792C2211yescharacteristic
117#17988749C2211yescharacteristic
118#17988749C2211yescharacteristic
119#17988749C2211yescharacteristic
120#17988747C2211yescharacteristic, complemented
121#17988742C2211yescharacteristic
122#17988742C2211yescharacteristic
123#17988742C2211yescharacteristic, complemented
124#17988738C2211yescharacteristic
125#17988732C2211yescharacteristic
126#17988730C2211yescharacteristic
127#17988725C2211yescharacteristic
128#17988721C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic
134#17988692C2211yescharacteristic, complemented
135#17988692C2211yescharacteristic, complemented
136#17988692C2211yescharacteristic, complemented
137#17988692C2211yescharacteristic, complemented
138#17988692C2211yescharacteristic, complemented
139#17988692C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988687C2211yescharacteristic
142#17988687C2211yescharacteristic
143#17988687C2211yescharacteristic
144#17988687C2211yescharacteristic
145#17988687C2211yescharacteristic
146#17988687C2211yescharacteristic
147#17988687C2211yescharacteristic
148#17988687C2211yescharacteristic
149#17988687C2211yescharacteristic
150#17988687C2211yescharacteristic
151#17988687C2211yescharacteristic
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155C4×#11924018C2211yescharacteristic, complemented
156C4×#11924018C2211yescharacteristic, complemented
157C4×#11924016C2211yescharacteristic
158C4×#11924016C2211yescharacteristic
159#17988659C2211yescharacteristic
160#17988659C2211yescharacteristic
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163D4×#10596831C2211yescharacteristic
164D4×#10596831C2211yescharacteristic
165#17988644C2211yescharacteristic
166#17988644C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988630C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170C2×#14556524C2211yescharacteristic
171#17988595C2211yescharacteristic, complemented
172#17988588C2211yescharacteristic
173#17988583C2211yescharacteristic
174#17988581C2211yescharacteristic, complemented
175C2×#14556514C2211yescharacteristic
176C2×#14556512C2211yescharacteristic
177C4×#11924012C2211yescharacteristic, complemented
178C2×#14556502C2211yescharacteristic
179C2×#14556502C2211yescharacteristic, complemented
180#556×C73C2211yescharacteristic
181#555×C73C2211yescharacteristic
182#554×C73C2211yescharacteristic
183#553×C73—21no—
184#552×C73—21no—
185#552×C73C2211yescharacteristic
186#552×C73C2211yescharacteristic
187#551×C73—21no—
188#551×C73—21no—
189#547×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#533×C73C2211yescharacteristic
193#529×C73—21no—
194#529×C73—21no—
195#529×C73C2211yescharacteristic
196#529×C73C2211yescharacteristic
197#525×C73—21no—
198C4×#41×C73C2211yescharacteristic
199C4×#41×C73C2211yescharacteristic
200C4×#41×C73C2211yescharacteristic
201C2×C4×D4×C73C2211yescharacteristic
202C2×#117×C73—21no—
203C2×#11924028C2311yescharacteristic
204C2×#11924027—21no—
205C22×Dic146C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207#14556621—24no—
208#14556611—24no—
209C2×#11924018C2311yescharacteristic
210C2×#11924018C2311yescharacteristic
211C2×#11924018C2311yescharacteristic
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924016—24no—
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924012C2311yescharacteristic
228C22×#10596831C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232#14556591C2311yescharacteristic
233#14556591C2311yescharacteristic
234#14556590—21no—
235#14556589—21no—
236#14556586—21no—
237#14556586—21no—
238#14556585—21no—
239#14556585—21no—
240#14556584—21no—
241#14556584—21no—
242#14556583—21no—
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556579C2311yescharacteristic
250#14556579C2311yescharacteristic
251#14556577—21no—
252#14556577—21no—
253#14556575—21no—
254#14556575—21no—
255#14556574—21no—
256#14556574—21no—
257#14556572—21no—
258#14556572—21no—
259#14556571—21no—
260#14556570—21no—
261#14556570C2311yescharacteristic
262#14556570C2311yescharacteristic
263#14556570C2311yescharacteristic
264#14556570C2311yescharacteristic
265#14556569—21no—
266#14556569—21no—
267#14556568—21no—
268#14556568—21no—
269#14556567—21no—
270#14556565C2311yescharacteristic
271#14556565C2311yescharacteristic
272#14556563—21no—
273#14556563—21no—
274C4×Dic146—21no—
275C4×Dic146—21no—
276C4×Dic146—21no—
277C4×Dic146—21no—
278C4×Dic146—21no—
279C4×Dic146C2311yescharacteristic
280C4×Dic146C2311yescharacteristic
281C4×Dic146C2311yescharacteristic
282C4×Dic146C2311yescharacteristic
283C4×Dic146C2311yescharacteristic
284C4×Dic146C2311yescharacteristic
285C4×Dic146C2311yescharacteristic
286C4×Dic146C2311yescharacteristic
287#14556556—21no—
288C4×D292C2311yescharacteristic
289C4×D292C2311yescharacteristic
290D4×Dic73—21no—
291C4×C22⋊D73—21no—
292C4×C22⋊D73—21no—
293C4×C22⋊D73—21no—
294C4×C22⋊D73—21no—
295#14556551—21no—
296#14556551—21no—
297#14556550—21no—
298#14556550C2311yescharacteristic
299#14556549—21no—
300#14556548—21no—
301#14556548—21no—
302#14556548—21no—
303#14556547—21no—
304#14556547—21no—
305C2×C4⋊Dic73C2311yescharacteristic
306C2×C4⋊Dic73C2311yescharacteristic
307C2×#11924007—21no—
308C2×#11924007—21no—
309C2×C4×Dic73—21no—
310C2×C4×Dic73—21no—
311C42×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556524C2311yescharacteristic
319#14556524C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325#14556522C2311yescharacteristic
326#14556522C2311yescharacteristic
327#14556522C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334#14556515C2311yescharacteristic
335#14556515C2311yescharacteristic
336#14556515C2311yescharacteristic
337#14556515C2311yescharacteristic
338#14556515C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556514C2311yescharacteristic
343#14556514C2311yescharacteristic
344#14556514C2311yescharacteristic
345#14556514C2311yescharacteristic
346#14556514C2311yescharacteristic
347#14556514C2311yescharacteristic
348#14556514C2311yescharacteristic
349#14556514C2311yescharacteristic
350#14556514C2311yescharacteristic
351#14556514C2311yescharacteristic
352#14556514C2311yescharacteristic
353#14556514C2311yescharacteristic
354#14556512C2311yescharacteristic
355#14556512C2311yescharacteristic
356#14556512C2311yescharacteristic
357#14556512C2311yescharacteristic
358#14556512C2311yescharacteristic
359#14556512C2311yescharacteristic
360#14556512C2311yescharacteristic
361#14556512C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372#14556502C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376#14556502C2311yescharacteristic
377#14556502C2311yescharacteristic
378#14556502C2311yescharacteristic
379#14556502C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73D411yescharacteristic
383C2×#41×C73C2311yescharacteristic
384C2×#41×C73C2311yescharacteristic
385C22×D4×C73C2311yescharacteristic
386C23×C4×C73—21no—
387C4⋊Q8×C73C2311yescharacteristic
388C4⋊Q8×C73C2311yescharacteristic
389#126×C73—21no—
390#126×C73—21no—
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#125×C73—21no—
396#125×C73—21no—
397#125×C73—21no—
398#125×C73C2311yescharacteristic
399#125×C73C2311yescharacteristic
400#124×C73—21no—
401#124×C73—21no—
402#124×C73C2311yescharacteristic
403#124×C73C2311yescharacteristic
404#123×C73—21no—
405#123×C73—21no—
406#123×C73—21no—
407#123×C73—21no—
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412C22⋊Q8×C73—21no—
413C22⋊Q8×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73C2311yescharacteristic
418C22⋊Q8×C73C2311yescharacteristic
419C22⋊Q8×C73C2311yescharacteristic
420C22⋊Q8×C73C2311yescharacteristic
421#121×C73—21no—
422#121×C73—21no—
423#121×C73—21no—
424#121×C73—21no—
425#121×C73C2311yescharacteristic
426#121×C73C2311yescharacteristic
427#120×C73—21no—
428#120×C73—21no—
429C4×Q8×C73—21no—
430C4×Q8×C73D411yescharacteristic
431C4×Q8×C73C2311yescharacteristic
432C4×Q8×C73C2311yescharacteristic
433C4×Q8×C73C2311yescharacteristic
434C4×Q8×C73C2311yescharacteristic
435C4×Q8×C73C2311yescharacteristic
436C4×D4×C73—21no—
437C4×D4×C73—21no—
438C4×D4×C73—21no—
439C4×D4×C73—21no—
440C4×D4×C73—21no—
441C4×D4×C73—21no—
442C4×D4×C73—21no—
443C4×D4×C73—21no—
444C4×D4×C73D411yescharacteristic
445C4×D4×C73D411yescharacteristic
446C4×D4×C73D411yescharacteristic
447C4×D4×C73C2311yescharacteristic
448C4×D4×C73C2311yescharacteristic
449C4×D4×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73—21no—
457#117×C73—21no—
458#117×C73—21no—
459#117×C73—21no—
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73—21no—
465#117×C73D411yescharacteristic
466#117×C73D411yescharacteristic
467#117×C73D411yescharacteristic
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73—21no—
472C2×C4⋊C4×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C22⋊C4×C73—21no—
476C2×C42×C73—21no—
477C2×C42×C73—21no—
478C2×C42×C73C2311yescharacteristic
479C2×C42×C73C2311yescharacteristic
480C2×C42×C73C2311yescharacteristic
481#11924028—22no—
482#11924028—41no—
483#11924027—44no—
484C2×Dic146—22no—
485C2×Dic146—22no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—41no—
490C2×Dic146—41no—
491C2×Dic146C2411yescharacteristic
492C2×Dic146C2411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292C2411yescharacteristic
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C22×Dic73—21no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C2×C4×D73—21no—
503C2×C4×D73—21no—
504C2×C4×D73—21no—
505#11924018—22no—
506#11924018—22no—
507#11924018—22no—
508#11924018—41no—
509#11924018—41no—
510#11924018—41no—
511#11924016—22no—
512#11924016—22no—
513#11924016—22no—
514#11924016—22no—
515#11924016—41no—
516#11924016#4114yescomplemented
517#11924015—22no—
518#11924015—41no—
519#11924013—22no—
520#11924013—41no—
521#11924012—22no—
522#11924012—41no—
523C2×#10596831—22no—
524C2×#10596831—22no—
525C2×#10596831—41no—
526C2×#10596831—41no—
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73C2411yescharacteristic
541C4⋊Dic73C2411yescharacteristic
542C4⋊Dic73C2411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544#11924007—21no—
545#11924007—21no—
546#11924007—21no—
547#11924007—21no—
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560C22⋊Dic73—21no—
561C22⋊Dic73—21no—
562C22⋊Dic73—21no—
563C22⋊Dic73—21no—
564C22⋊Dic73—21no—
565#11924005—21no—
566#11924005—21no—
567#11924005—21no—
568#11924005—21no—
569#11924005—21no—
570#11924005—21no—
571#11924005—21no—
572#11924005—21no—
573C4×Dic73—21no—
574C4×Dic73—21no—
575C4×Dic73—21no—
576C4×Dic73—21no—
577C4×Dic73—21no—
578C4×Dic73—21no—
579C4×Dic73—21no—
580C4×Dic73—21no—
581C4×Dic73—21no—
582C24×C73—21no—
583#41×C73—22no—
584#41×C73—22no—
585#41×C73—42no—
586#41×C73—41no—
587#41×C73—41no—
588C2×Q8×C73—21no—
589C2×Q8×C73C2×D411yescharacteristic
590C2×Q8×C73C2411yescharacteristic
591C2×Q8×C73C2411yescharacteristic
592C2×D4×C73—22no—
593C2×D4×C73—21no—
594C2×D4×C73—21no—
595C2×D4×C73—21no—
596C2×D4×C73—21no—
597C2×D4×C73—21no—
598C2×D4×C73—41no—
599C2×D4×C73C2×D411yescharacteristic
600C2×D4×C73C2×D411yescharacteristic
601C2×D4×C73C2×D411yescharacteristic
602C2×D4×C73C2411yescharacteristic
603C2×D4×C73C2411yescharacteristic
604C22×C4×C73—21no—
605C22×C4×C73—21no—
606C22×C4×C73—21no—
607C22×C4×C73—21no—
608C22×C4×C73—21no—
609C22×C4×C73—21no—
610C22×C4×C73—21no—
611C22×C4×C73—21no—
612C22×C4×C73—21no—
613C22×C4×C73—44no—
614C22×C4×C73C2×D411yescharacteristic
615C22×C4×C73C2×D411yescharacteristic
616C22×C4×C73C2×D411yescharacteristic
617C22×C4×C73C2×D411yescharacteristic
618C22×C4×C73C2×D411yescharacteristic
619C22×C4×C73C2×D411yescharacteristic
620C22×C4×C73C2411yescharacteristic
621C22×C4×C73C2411yescharacteristic
622C22×C4×C73C2411yescharacteristic
623C4⋊C4×C73—21no—
624C4⋊C4×C73—21no—
625C4⋊C4×C73—21no—
626C4⋊C4×C73—21no—
627C4⋊C4×C73—21no—
628C4⋊C4×C73—21no—
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73C2×D411yescharacteristic
640C4⋊C4×C73C2×D411yescharacteristic
641C4⋊C4×C73C2×D411yescharacteristic
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
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×C73—21no—
667C22⋊C4×C73C2×D411yescharacteristic
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C42×C73—21no—
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73C2×D411yescharacteristic
680C42×C73C2×D411yescharacteristic
681C42×C73C2×D411yescharacteristic
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2411yescharacteristic
686C42×C73C2411yescharacteristic
687C42×C73C2411yescharacteristic
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73—21no—
691C23×C73—42no—
692C23×C73—42no—
693C23×C73—81no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698Q8×C73—21no—
699Q8×C73—21no—
700Q8×C73—21no—
701Q8×C73—21no—
702Q8×C73—41no—
703Q8×C73—81no—
704D4×C73—22no—
705D4×C73—22no—
706D4×C73—21no—
707D4×C73—21no—
708D4×C73—21no—
709D4×C73—41no—
710D4×C73—42no—
711D4×C73—42no—
712D4×C73—42no—
713D4×C73—81no—
714D4×C73—81no—
715D4×C73C2×#4112yes—
716C2×C4×C73—22no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—41no—
730C2×C4×C73—41no—
731C2×C4×C73—41no—
732C2×C4×C73—41no—
733C2×C4×C73—41no—
734C2×C4×C73—42no—
735C2×C4×C73—42no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73—42no—
741C2×C4×C73—81no—
742C2×C4×C73—81no—
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—42no—
766C2×Dic73—42no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769D292—21no—
770D292—21no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774Dic146—21no—
775Dic146—21no—
776Dic146—21no—
777Dic146—21no—
778Dic146—21no—
779Dic146—42no—
780Dic146—42no—
781Dic146—42no—
782Dic146C2×#4112yes—
783#10596831—21no—
784#10596831—21no—
785#10596831—21no—
786#10596831—21no—
787#10596831—21no—
788#10596831—21no—
789#10596831—21no—
790#10596831C2×#4112yes—
791C22×C73—21no—
792C22×C73—21no—
793C22×C73—21no—
794C22×C73—21no—
795C22×C73—21no—
796C22×C73—21no—
797C22×C73—22no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—41no—
801C22×C73—41no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73—84no—
806C22×C73#57512yes—
807C22×C73C23×D411yescharacteristic
808C2×D73—41no—
809C2×D73—41no—
810C2×D73—41no—
811C4×C73—21no—
812C4×C73—21no—
813C4×C73—21no—
814C4×C73—21no—
815C4×C73—21no—
816C4×C73—21no—
817C4×C73—21no—
818C4×C73—21no—
819C4×C73—21no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—41no—
823C4×C73—41no—
824C4×C73—41no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73C22×#4111yescharacteristic
829C4×C73#58511yescharacteristic
830Dic73—22no—
831Dic73—41no—
832Dic73—41no—
833Dic73—41no—
834Dic73—41no—
835Dic73—41no—
836Dic73—41no—
837#61455—731nomaximal, Sylow
838C2×C73—22no—
839C2×C73—41no—
840C2×C73—41no—
841C2×C73—42no—
842C2×C73—81no—
843C2×C73D4×#4111yescharacteristic
844C2×C73C2×#57511yescharacteristic
845C2×C73#358611yescharacteristic
846D73—81no—
847#3482—731no—
848#3475D7311yescharacteristic, complemented
849#3402—731no—
850#3388—731no—
851#3377—731no—
852#3376—731no—
853#3348—731no—
854#3343—731no—
855#3336—731no—
856#3321—731no—
857#3315—731no—
858#3312—731no—
859#3306—731no—
860#3300—731no—
861#3296—731no—
862#3282—731no—
863#3269—731no—
864#3266—731no—
865#3183—731no—
866#3181—731no—
867#3181—731no—
868#3117—731no—
869#3116—731no—
870#3114—731no—
871#3113—731no—
872#3111—731no—
873#3111—731no—
874#2970—731no—
875C4×#137—731no—
876#2943—731no—
877C2×#440—731no—
878C73#6145511yescharacteristic, complemented, Sylow
879C2×#137—731no—
880C2×#135—731no—
881C22×SD16—731no—
882#557—731no—
883#556—731no—
884#556—1461no—
885#556C2×D7311yescharacteristic
886#555C2×D7311yescharacteristic
887#554C2×D7311yescharacteristic
888#553—21no—
889#552—21no—
890#552—731no—
891#552—731no—
892#552—1461no—
893#552—1461no—
894#552C2×D7311yescharacteristic
895#552C2×D7311yescharacteristic
896#551—21no—
897#551—21no—
898D4×Q8—731no—
899#548—731no—
900#548—731no—
901#547—731no—
902#547—1461no—
903#547C2×D7311yescharacteristic
904#546C2×D7311yescharacteristic
905#546C2×D7311yescharacteristic
906#533—731no—
907#533—1461no—
908#533C2×D7311yescharacteristic
909#529—21no—
910#529—21no—
911#529—731no—
912#529—731no—
913#529—1461no—
914#529—1461no—
915#529C2×D7311yescharacteristic
916#529C2×D7311yescharacteristic
917#525—21no—
918C4×#41—731no—
919C4×#41—1461no—
920C4×#41C2×D7311yescharacteristic
921C4×#41C2×D7311yescharacteristic
922C4×#41C2×D7311yescharacteristic
923C2×C4×Q8—731no—
924C2×C4×Q8—731no—
925C2×C4×D4C2×D7311yescharacteristic
926C2×#117—21no—
927#501—731no—
928#501—731no—
929#499—731no—
930#497—731no—
931#497—731no—
932#495—731no—
933#491—731no—
934#491—731no—
935#489—731no—
936#489—731no—
937#488—731no—
938#488—731no—
939#485—731no—
940#485—731no—
941#485—731no—
942#485—731no—
943#484—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#482—731no—
948#482—731no—
949#481—731no—
950#480—731no—
951#479—731no—
952#479—731no—
953#479—731no—
954#479—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#477—731no—
960#476—731no—
961#475—731no—
962#475—731no—
963#470—731no—
964#469—731no—
965#468—731no—
966#468—731no—
967#467—731no—
968#467—731no—
969#467—731no—
970#467—731no—
971#465—731no—
972#465—731no—
973#465—731no—
974#465—731no—
975#464—731no—
976#464—731no—
977#464—731no—
978#464—731no—
979#463—731no—
980#463—731no—
981#463—731no—
982#463—731no—
983#462—731no—
984#462—731no—
985#462—731no—
986#461—731no—
987#452—731no—
988#452—731no—
989#452—731no—
990#452—731no—
991#451—731no—
992#451—731no—
993#451—731no—
994#450—731no—
995#449—731no—
996#449—731no—
997#448—731no—
998#447—731no—
999#446—731no—
1000#446—731no—
1001#442—731no—
1002#442—731no—
1003#442—731no—
1004#441—731no—
1005#441—731no—
1006#441—731no—
1007#441—731no—
1008#441—731no—
1009#441—731no—
1010#441—731no—
1011#440—731no—
1012#440—731no—
1013#440—731no—
1014#440—731no—
1015#440—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025C4×Q16—731no—
1026C4×Q16—731no—
1027C4×SD16—731no—
1028C4×SD16—731no—
1029#435—731no—
1030#435—731no—
1031#435—731no—
1032#435—731no—
1033C8×D4—731no—
1034C8×D4—731no—
1035#432—731no—
1036#432—731no—
1037#432—731no—
1038#428—731no—
1039#427—731no—
1040C2×#107—731no—
1041#419—731no—
1042#417—731no—
1043#416—731no—
1044#416—731no—
1045C2×#103—731no—
1046C2×#102—731no—
1047C4×M16—731no—
1048C2×#97—731no—
1049C2×#97—731no—
1050C2×#41—731no—
1051C2×#41—1461no—
1052C2×#41C22⋊D7311yescharacteristic
1053C2×#41C22×D7311yescharacteristic
1054C2×#41C22×D7311yescharacteristic
1055C22×Q8—731no—
1056C22×Q8—731no—
1057C22×D4C22×D7311yescharacteristic
1058C23×C4—21no—
1059#137—1464no—
1060#135—1464no—
1061C2×Q16—731no—
1062C2×Q16—731no—
1063C2×Q16—731no—
1064C2×Q16—731no—
1065C2×Q16—731no—
1066C2×Q16—731no—
1067C2×SD16—731no—
1068C2×SD16—731no—
1069C2×SD16—731no—
1070C2×SD16—731no—
1071C2×SD16—731no—
1072C2×SD16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—1464no—
1076C2×D8—731no—
1077C2×D8—731no—
1078C2×M16—731no—
1079C2×M16—731no—
1080C22×C8—731no—
1081C22×C8—731no—
1082C22×C8—731no—
1083C22×C8—731no—
1084C4⋊Q8—731no—
1085C4⋊Q8—731no—
1086C4⋊Q8—1461no—
1087C4⋊Q8—1461no—
1088C4⋊Q8C22×D7311yescharacteristic
1089C4⋊Q8C22×D7311yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—1461no—
1097#126—1461no—
1098#126—1461no—
1099#126—1461no—
1100#126—1461no—
1101#126—1461no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—731no—
1106#125—731no—
1107#125—1461no—
1108#125—1461no—
1109#125—1461no—
1110#125—1461no—
1111#125—1461no—
1112#125C22×D7311yescharacteristic
1113#125C22×D7311yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—731no—
1117#124—731no—
1118#124—1461no—
1119#124—1461no—
1120#124C22×D7311yescharacteristic
1121#124C22×D7311yescharacteristic
1122#123—21no—
1123#123—21no—
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8C22×D7311yescharacteristic
1153C22⋊Q8C22×D7311yescharacteristic
1154C22⋊Q8C22×D7311yescharacteristic
1155C22⋊Q8C22×D7311yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—731no—
1161#121—731no—
1162#121—1461no—
1163#121—1461no—
1164#121C22×D7311yescharacteristic
1165#121C22×D7311yescharacteristic
1166#120—21no—
1167#120—21no—
1168C4×Q8—21no—
1169C4×Q8—731no—
1170C4×Q8—731no—
1171C4×Q8—731no—
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×Q8—1461no—
1182C4×Q8—1461no—
1183C4×Q8C22⋊D7311yescharacteristic
1184C4×Q8C22×D7311yescharacteristic
1185C4×Q8C22×D7311yescharacteristic
1186C4×Q8C22×D7311yescharacteristic
1187C4×Q8C22×D7311yescharacteristic
1188C4×Q8C22×D7311yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4C22⋊D7311yescharacteristic
1207C4×D4C22⋊D7311yescharacteristic
1208C4×D4C22⋊D7311yescharacteristic
1209C4×D4C22×D7311yescharacteristic
1210C4×D4C22×D7311yescharacteristic
1211C4×D4C22×D7311yescharacteristic
1212C4×D4C22×D7311yescharacteristic
1213C4×D4C22×D7311yescharacteristic
1214C4×D4C22×D7311yescharacteristic
1215C4×D4C22×D7311yescharacteristic
1216C4×D4C22×D7311yescharacteristic
1217C4×D4C22×D7311yescharacteristic
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—731no—
1228#117—1461no—
1229#117—1461no—
1230#117—1461no—
1231#117—1461no—
1232#117—1461no—
1233#117—1461no—
1234#117—1461no—
1235#117C22⋊D7311yescharacteristic
1236#117C22⋊D7311yescharacteristic
1237#117C22⋊D7311yescharacteristic
1238#117C22×D7311yescharacteristic
1239#117C22×D7311yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—731no—
1243C2×C4⋊C4—731no—
1244C2×C4⋊C4—1461no—
1245C2×C4⋊C4—1461no—
1246C2×C4⋊C4C22×D7311yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C42—21no—
1251C2×C42—21no—
1252C2×C42—1461no—
1253C2×C42—1461no—
1254C2×C42—1461no—
1255C2×C42C22×D7311yescharacteristic
1256C2×C42C22×D7311yescharacteristic
1257C2×C42C22×D7311yescharacteristic
1258#107—731no—
1259#107—731no—
1260#107—731no—
1261#107—731no—
1262#107—731no—
1263#107—731no—
1264#107—731no—
1265#107—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106—731no—
1272#106—731no—
1273#106—731no—
1274C4⋊C8—731no—
1275C4⋊C8—731no—
1276C4⋊C8—731no—
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102—731no—
1304#102—731no—
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
1311#102—731no—
1312C22⋊C8—731no—
1313C22⋊C8—731no—
1314C22⋊C8—731no—
1315C22⋊C8—731no—
1316C22⋊C8—731no—
1317C22⋊C8—731no—
1318#97—731no—
1319#97—731no—
1320#97—731no—
1321#97—731no—
1322#97—731no—
1323#97—731no—
1324#97—731no—
1325#97—731no—
1326C4×C8—731no—
1327C4×C8—731no—
1328C24—21no—
1329#41—22no—
1330#41—22no—
1331#41—42no—
1332#41—41no—
1333#41—41no—
1334#41—2921no—
1335#41—2924no—
1336#41—1462no—
1337C2×Q8—21no—
1338C2×Q8—2921no—
1339C2×Q8—2921no—
1340C2×Q8—731no—
1341C2×Q8—731no—
1342C2×Q8—731no—
1343C2×Q8—1462no—
1344C2×Q8—1462no—
1345C2×Q8—1461no—
1346C2×Q8—1461no—
1347C2×Q8—1461no—
1348C2×Q8C2×C22⋊D7311yescharacteristic
1349C2×Q8C23×D7311yescharacteristic
1350C2×Q8C23×D7311yescharacteristic
1351C2×D4—22no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—41no—
1358C2×D4—731no—
1359C2×D4—1461no—
1360C2×D4—1461no—
1361C2×D4—1461no—
1362C2×D4C2×C22⋊D7311yescharacteristic
1363C2×D4C2×C22⋊D7311yescharacteristic
1364C2×D4C2×C22⋊D7311yescharacteristic
1365C2×D4C23×D7311yescharacteristic
1366C2×D4C23×D7311yescharacteristic
1367C22×C4—21no—
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—44no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4C2×C22⋊D7311yescharacteristic
1385C22×C4C2×C22⋊D7311yescharacteristic
1386C22×C4C2×C22⋊D7311yescharacteristic
1387C22×C4C2×C22⋊D7311yescharacteristic
1388C22×C4C2×C22⋊D7311yescharacteristic
1389C22×C4C2×C22⋊D7311yescharacteristic
1390C22×C4C23×D7311yescharacteristic
1391C22×C4C23×D7311yescharacteristic
1392C22×C4C23×D7311yescharacteristic
1393Q16—2921no—
1394Q16—2921no—
1395Q16—2921no—
1396Q16—1462no—
1397Q16—1462no—
1398Q16—1462no—
1399SD16—2921no—
1400SD16—2921no—
1401SD16—734no—
1402SD16—1462no—
1403SD16—1462no—
1404SD16—1462no—
1405SD16—1462no—
1406SD16—1462no—
1407D8—2921no—
1408D8—1462no—
1409M16—2921no—
1410M16—1462no—
1411C2×C8—2921no—
1412C2×C8—2921no—
1413C2×C8—731no—
1414C2×C8—731no—
1415C2×C8—731no—
1416C2×C8—731no—
1417C2×C8—731no—
1418C2×C8—731no—
1419C2×C8—731no—
1420C2×C8—731no—
1421C2×C8—1462no—
1422C2×C8—1462no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—731no—
1440C4⋊C4—731no—
1441C4⋊C4—731no—
1442C4⋊C4—731no—
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⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4C2×C22⋊D7311yescharacteristic
1465C4⋊C4C2×C22⋊D7311yescharacteristic
1466C4⋊C4C2×C22⋊D7311yescharacteristic
1467C4⋊C4C2×C22⋊D7311yescharacteristic
1468C4⋊C4C2×C22⋊D7311yescharacteristic
1469C4⋊C4C2×C22⋊D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C4⋊C4C23×D7311yescharacteristic
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
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⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4C2×C22⋊D7311yescharacteristic
1506C22⋊C4C2×C22⋊D7311yescharacteristic
1507C22⋊C4C2×C22⋊D7311yescharacteristic
1508C22⋊C4C2×C22⋊D7311yescharacteristic
1509C22⋊C4C2×C22⋊D7311yescharacteristic
1510C22⋊C4C2×C22⋊D7311yescharacteristic
1511C42—21no—
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—1461no—
1518C42—1461no—
1519C42—1461no—
1520C42—1461no—
1521C42—1461no—
1522C42—1461no—
1523C42—1461no—
1524C42—1461no—
1525C42—1461no—
1526C42C2×C22⋊D7311yescharacteristic
1527C42C2×C22⋊D7311yescharacteristic
1528C42C2×C22⋊D7311yescharacteristic
1529C42C2×C22⋊D7311yescharacteristic
1530C42C2×C22⋊D7311yescharacteristic
1531C42C2×C22⋊D7311yescharacteristic
1532C42C23×D7311yescharacteristic
1533C42C23×D7311yescharacteristic
1534C42C23×D7311yescharacteristic
1535C42C23×D7311yescharacteristic
1536C23—21no—
1537C23—21no—
1538C23—42no—
1539C23—42no—
1540C23—81no—
1541C23—1461no—
1542C23C22×C22⋊D7311yescharacteristic
1543C23C22×C22⋊D7311yescharacteristic
1544C23C22×C22⋊D7311yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—41no—
1550Q8—81no—
1551Q8—2922no—
1552Q8—2922no—
1553Q8—2922no—
1554Q8—732no—
1555Q8—1461no—
1556Q8—1461no—
1557Q8—1461no—
1558Q8—1461no—
1559Q8—1461no—
1560D4—22no—
1561D4—22no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—41no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—81no—
1570D4—81no—
1571D4—2922no—
1572D4—2922no—
1573D4—2922no—
1574D4—1461no—
1575D4—1461no—
1576D4#41×D7312yes—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—41no—
1591C2×C4—41no—
1592C2×C4—41no—
1593C2×C4—41no—
1594C2×C4—41no—
1595C2×C4—42no—
1596C2×C4—42no—
1597C2×C4—42no—
1598C2×C4—42no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—2922no—
1605C2×C4—2922no—
1606C2×C4—2922no—
1607C2×C4—2922no—
1608C2×C4—2922no—
1609C2×C4—2922no—
1610C2×C4—2922no—
1611C2×C4—1461no—
1612C2×C4—1461no—
1613C2×C4—1461no—
1614C2×C4—1461no—
1615C2×C4—1461no—
1616C2×C4—1461no—
1617C2×C4—1461no—
1618C2×C4C22×C22⋊D7311yescharacteristic
1619C2×C4C22×C22⋊D7311yescharacteristic
1620C2×C4C22×C22⋊D7311yescharacteristic
1621C2×C4C22×C22⋊D7311yescharacteristic
1622C2×C4C22×C22⋊D7311yescharacteristic
1623C2×C4C22×C22⋊D7311yescharacteristic
1624C2×C4C22×C22⋊D7311yescharacteristic
1625C2×C4C22×C22⋊D7311yescharacteristic
1626C2×C4C22×C22⋊D7311yescharacteristic
1627C2×C4C22×C22⋊D7311yescharacteristic
1628C2×C4C22×C22⋊D7311yescharacteristic
1629C2×C4C24×D7311yescharacteristic
1630C8—732no—
1631C8—1461no—
1632C8—1461no—
1633C8—1461no—
1634C8—1461no—
1635C8—1461no—
1636C8—1461no—
1637C8—1461no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—22no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—84no—
1653C22—2921no—
1654C22—2921no—
1655C22—2921no—
1656C22#1798938512yes—
1657C22C23×C22⋊D7311yescharacteristic
1658C4—21no—
1659C4—21no—
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—2921no—
1676C4—2921no—
1677C4—2921no—
1678C4—2921no—
1679C4—2921no—
1680C4—2921no—
1681C4—1462no—
1682C4C2×#41×D7311yescharacteristic
1683C4#1798942311yescharacteristic
1684C2—22no—
1685C2—41no—
1686C2—41no—
1687C2—42no—
1688C2—81no—
1689C2—5841no—
1690C2#41×C22⋊D7311yescharacteristic
1691C2C2×#1798938511yescharacteristic
1692C2#2262471711yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3475C2
socleC22×C73C23×D4
hypercenter#3475D73
hypocenterC73#61455
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #22623546C2semidirect
2. #22623006C2semidirect
3. #22622876C2semidirect
4. #22622767C2semidirect
5. #22622758C2semidirect
6. #22622446C2semidirect
7. #22622371C2semidirect
8. #22622293C2semidirect
9. #22622111C2semidirect
10. #22622027C2semidirect
11. #22621976C2semidirect
12. #22621892C2semidirect
13. #22621812C2semidirect
14. #22621766C2semidirect
15. #22621634C2semidirect
16. #22621482C2semidirect
17. #22621437C2semidirect
18. #22620654C2semidirect
19. #22620641C2semidirect
20. #22620634C2semidirect
21. #22620098C2semidirect
22. #22620093C2semidirect
23. #22620069C2semidirect
24. #22620057C2semidirect
25. #22620040C2semidirect
26. #22620034C2semidirect
27. #22618945C2semidirect
28. C4×#14556621C2semidirect
29. #22618729C2semidirect
30. C2×#17988687C2semidirect
31. C73×#3475C2semidirect
35. #17989315C22semidirect
36. #17989310C22semidirect
39. #17989277C22semidirect
44. #17989246C22semidirect
47. #17989144C22semidirect
50. #17989121C22semidirect
53. C4×#11924028C22semidirect
56. C2×C4×Dic146C22semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
61. #17988979C22semidirect
63. #17988957C22semidirect
64. #17988955C22semidirect
65. #17988949C22semidirect
67. #17988944C22semidirect
69. #17988928C22semidirect
70. #17988928C22semidirect
71. #17988928C22semidirect
72. #17988925C22semidirect
73. #17988920C22semidirect
77. #17988911C22semidirect
81. #17988894C22semidirect
82. #17988891C22semidirect
83. #17988891C22semidirect
84. #17988891C22semidirect
88. #17988884C22semidirect
89. #17988882C22semidirect
91. #17988869C22semidirect
92. #17988869C22semidirect
93. #17988843C22semidirect
95. #17988835C22semidirect
99. #17988826C22semidirect
100. #17988826C22semidirect
105. #17988809C22semidirect
113. #17988797C22semidirect
114. #17988794C22semidirect
115. #17988794C22semidirect
120. #17988747C22semidirect
123. #17988742C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
134. #17988692C22semidirect
135. #17988692C22semidirect
136. #17988692C22semidirect
137. #17988692C22semidirect
138. #17988692C22semidirect
139. #17988692C22semidirect
140. #17988692C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. #17988685C22semidirect
155. C4×#11924018C22semidirect
156. C4×#11924018C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
166. #17988644C22semidirect
167. #17988644C22semidirect
168. #17988630C22semidirect
169. #17988623C22semidirect
171. #17988595C22semidirect
174. #17988581C22semidirect
177. C4×#11924012C22semidirect
179. C2×#14556502C22semidirect
516. #11924016#41semidirect
848. #3475D73semidirect
878. C73#61455semidirect

Maximal subgroups

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

subgroupindex
#226235462
#226230062
#226228762
#226227672
#226227582
#226224462
#226223712
#226222932
#226221112
#226220272
#226219762
#226218922
#226218122
#226217662
#226216342
#226214822
#226214372
#226206542
#226206412
#226206342
#226200982
#226200932
#226200692
#226200572
#226200402
#226200342
#226189452
C4×#145566212
#226187292
C2×#179886872
C73×#34752
#6145573