Finite Group Databasebeta

← #33968036

Subgroups — #33968036

Order 18688.

1910 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623537C211yesmaximal, characteristic, complemented
2#22623522C211yesmaximal, characteristic, complemented
3#22623022C211yesmaximal, characteristic, complemented
4#22622882C211yesmaximal, characteristic, complemented
5#22622705C211yesmaximal, characteristic, complemented
6#22622690C211yesmaximal, characteristic, complemented
7#22622471C211yesmaximal, characteristic, complemented
8#22622411C211yesmaximal, characteristic, complemented
9#22622332C211yesmaximal, characteristic, complemented
10#22622067C211yesmaximal, characteristic, complemented
11#22622037C211yesmaximal, characteristic, complemented
12#22621962C211yesmaximal, characteristic, complemented
13#22621932C211yesmaximal, characteristic, complemented
14#22621832C211yesmaximal, characteristic, complemented
15#22621780C211yesmaximal, characteristic, complemented
16#22621637C211yesmaximal, characteristic, complemented
17#22621478C211yesmaximal, characteristic, complemented
18#22621433C211yesmaximal, characteristic, complemented
19#22620625C211yesmaximal, characteristic, complemented
20#22620625C211yesmaximal, characteristic, complemented
21#22620106C211yesmaximal, characteristic, complemented
22#22620078C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620046C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22620020C211yesmaximal, characteristic, complemented
27#22618946C211yesmaximal, characteristic, complemented
28C4×#14556619C211yesmaximal, characteristic, complemented
29#22618726C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3183C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556612C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989321—21no—
36#17989319C2211yescharacteristic
37#17989319C2211yescharacteristic, complemented
38#17989314C2211yescharacteristic, complemented
39#17989308C2211yescharacteristic, complemented
40#17989304—21no—
41#17989295C2211yescharacteristic
42#17989293C2211yescharacteristic
43#17989290C2211yescharacteristic
44#17989290C2211yescharacteristic, complemented
45#17989289C2211yescharacteristic
46#17989288—21no—
47#17989288—21no—
48#17989284C2211yescharacteristic
49#17989282—21no—
50#17989262—21no—
51#17989260—21no—
52#17989255C2211yescharacteristic, complemented
53#17989247C2211yescharacteristic
54#17989245C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989134—21no—
60#17989134C2211yescharacteristic
61#17989134C2211yescharacteristic, complemented
62#17989124C2211yescharacteristic
63#17989124C2211yescharacteristic, complemented
64#17989117—21no—
65#17989115—21no—
66#17989115—21no—
67#17989099—21no—
68#17989096—21no—
69C4×#11924029C2211yescharacteristic
70C4×#11924028C2211yescharacteristic
71C4×#11924028C2211yescharacteristic, complemented
72#17989055—21no—
73C4×#11924027C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988973C2211yescharacteristic
81#17988973C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic
83#17988950C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988926C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988921C2211yescharacteristic, complemented
89#17988915C2211yescharacteristic, complemented
90#17988913C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988908C2211yescharacteristic
94#17988907C2211yescharacteristic
95#17988907C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988898C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic
103#17988884C2211yescharacteristic
104#17988884C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988876C2211yescharacteristic
107#17988875C2211yescharacteristic, complemented
108#17988871C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic
111#17988824C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic
113#17988822C2211yescharacteristic, complemented
114#17988819C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988812C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988811C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988805C2211yescharacteristic
123#17988799C2211yescharacteristic
124#17988799C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic
127#17988781C2211yescharacteristic
128#17988780C2211yescharacteristic
129#17988780C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic
131#17988747C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988737C2211yescharacteristic
134#17988735C2211yescharacteristic
135#17988733C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic
137#17988729C2211yescharacteristic, complemented
138#17988727C2211yescharacteristic
139#17988722C2211yescharacteristic
140#17988720C2211yescharacteristic
141#17988719C2211yescharacteristic
142#17988717C2211yescharacteristic, complemented
143#17988717C2211yescharacteristic, complemented
144#17988700C2211yescharacteristic
145#17988700C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988697C2211yescharacteristic, complemented
149#17988696C2211yescharacteristic
150#17988692C2211yescharacteristic, complemented
151#17988691C2211yescharacteristic, complemented
152#17988690C2211yescharacteristic
153#17988689C2211yescharacteristic
154#17988689C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic, complemented
156#17988688C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988686C2211yescharacteristic
159#17988686C2211yescharacteristic
160#17988685C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×#11924017C2211yescharacteristic
165C4×#11924017C2211yescharacteristic, complemented
166C4×D584C2211yescharacteristic
167C4×D584C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic
169#17988656C2211yescharacteristic
170#17988656C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173C8×D292C2211yescharacteristic, complemented
174#17988644C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988624C2211yescharacteristic, complemented
179#107×D73C2211yescharacteristic, complemented
180#17988593C2211yescharacteristic
181#17988589C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic
183#17988580C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#97×D73C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189#529×C73C2211yescharacteristic, complemented
190#499×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#488×C73C2211yescharacteristic, complemented
193#488×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#469×C73C2211yescharacteristic
196#468×C73C2211yescharacteristic
197#468×C73C2211yescharacteristic, complemented
198#442×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×M16×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028D411yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C22×C4×D73—21no—
214C22×C4×D73—21no—
215#14556619—24no—
216#14556612—24no—
217C2×#11924018C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224SD16×D73—24no—
225C2×D584C2311yescharacteristic
226C2×D584C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556587—21no—
238#14556587C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556582C2311yescharacteristic
249#14556582C2311yescharacteristic
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556580C2311yescharacteristic
254#14556580C2311yescharacteristic
255#14556577—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575—21no—
270#14556573—21no—
271#14556573—21no—
272#14556573—21no—
273#14556572—21no—
274#14556571—21no—
275#14556571—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556568—21no—
280#14556568—21no—
281#14556567C2311yescharacteristic
282#14556567C2311yescharacteristic
283#14556566—21no—
284#14556566—21no—
285#14556566—21no—
286#14556566C2311yescharacteristic
287#14556566C2311yescharacteristic
288#14556566C2311yescharacteristic
289#14556566C2311yescharacteristic
290#14556564—21no—
291#14556564—21no—
292#14556564—21no—
293#14556564—21no—
294#14556564—21no—
295#14556564—21no—
296#14556564—21no—
297#14556563—21no—
298#14556563—21no—
299#14556562—21no—
300#14556562C2311yescharacteristic
301#14556562C2311yescharacteristic
302#14556561—21no—
303#14556561—21no—
304#14556561—21no—
305#14556559—21no—
306Q8×Dic73C2311yescharacteristic
307Q8×Dic73C2311yescharacteristic
308C4×Dic146—21no—
309C4×Dic146D411yescharacteristic
310C4×Dic146C2311yescharacteristic
311C4×Dic146C2311yescharacteristic
312C4×Dic146C2311yescharacteristic
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292D411yescharacteristic
324C4×D292C2311yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327C4×D292C2311yescharacteristic
328C4×D292C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73C2311yescharacteristic
333D4×Dic73C2311yescharacteristic
334#14556553—21no—
335#14556553—21no—
336#14556553—21no—
337#14556553—21no—
338#14556553C2311yescharacteristic
339#14556553C2311yescharacteristic
340C4×C22⋊D73—21no—
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73D411yescharacteristic
347C4×C22⋊D73D411yescharacteristic
348C4×C22⋊D73C2311yescharacteristic
349C4×C22⋊D73C2311yescharacteristic
350#14556551—21no—
351#14556551—21no—
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556550D411yescharacteristic
359#14556550C2311yescharacteristic
360#14556549—21no—
361#14556549C2311yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548D411yescharacteristic
367#14556548D411yescharacteristic
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C4⋊C4×D73—21no—
371C4⋊C4×D73—21no—
372C4⋊C4×D73C2311yescharacteristic
373C4⋊C4×D73C2311yescharacteristic
374C2×#11924005—21no—
375C22⋊C4×D73—21no—
376C22⋊C4×D73—21no—
377C22⋊C4×D73—21no—
378C2×C4×Dic73—21no—
379C42×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×SD16×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×D8×C73C2311yescharacteristic
442C2×M16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444#126×C73—21no—
445#126×C73—21no—
446#125×C73C2311yescharacteristic
447#125×C73C2311yescharacteristic
448#124×C73C2311yescharacteristic
449#124×C73C2311yescharacteristic
450#123×C73—21no—
451#123×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456C4×Q8×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73—21no—
463#117×C73—21no—
464C2×C42×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924028—42no—
488#11924028—44no—
489#11924028—82no—
490#11924027—22no—
491#11924027—41no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497Q8×D73—22no—
498Q8×D73—41no—
499C2×D292—22no—
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—41no—
507C2×D292C2×D411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×D292C2411yescharacteristic
510C2×D292C2411yescharacteristic
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73C2×D411yescharacteristic
521C2×C22⋊D73C2×D411yescharacteristic
522D4×D73—22no—
523D4×D73—41no—
524D4×D73—44no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—82no—
543C2×C4×D73—82no—
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549C2×C4×D73C2411yescharacteristic
550#11924018—22no—
551#11924017—22no—
552#11924017#4114yescomplemented
553#11924016—22no—
554#11924015—22no—
555#11924015—41no—
556#11924015—41no—
557D584—22no—
558D584—22no—
559#11924013—22no—
560#11924013—41no—
561#11924013—41no—
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C2×#10596831C2411yescharacteristic
566C8×D73—22no—
567C8×D73—22no—
568C8×D73—41no—
569C8×D73—41no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73—21no—
573C4⋊Dic73—21no—
574C4⋊Dic73—21no—
575C4⋊Dic73C2×D411yescharacteristic
576C4⋊Dic73C2×D411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
578C4⋊Dic73C2411yescharacteristic
579C4⋊Dic73C2411yescharacteristic
580C4⋊Dic73C2411yescharacteristic
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—21no—
646C2×D4×C73—21no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C22×C4×C73—21no—
650C22×C4×C73—21no—
651C22×C4×C73C2×D411yescharacteristic
652C22×C4×C73C2×D411yescharacteristic
653C22×C4×C73C2411yescharacteristic
654Q16×C73—41no—
655SD16×C73—22no—
656SD16×C73—22no—
657D8×C73—41no—
658M16×C73—22no—
659M16×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2411yescharacteristic
673C4⋊C4×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C22⋊C4×C73—21no—
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2×D411yescharacteristic
689C42×C73C2×D411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C22×D73—21no—
696C22×D73—21no—
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—81no—
703C22×D73—81no—
704C22×D73C22×D411yescharacteristic
705C22×D73C22×D411yescharacteristic
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—21no—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—42no—
715D4×C73—81no—
716C2×C4×C73—21no—
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—41no—
725C2×C4×C73—41no—
726C2×C4×C73—42no—
727C2×C4×C73—42no—
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—22no—
735C22⋊D73—41no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—42no—
741C22⋊D73—42no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C22⋊D73—81no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—42no—
751C2×Dic73—81no—
752C2×Dic73—81no—
753C2×Dic73—81no—
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760D292—22no—
761D292—21no—
762D292—21no—
763D292—21no—
764D292—21no—
765D292—21no—
766D292—42no—
767D292—42no—
768D292—42no—
769D292—42no—
770D292—81no—
771D292—81no—
772D292C2×#4112yes—
773C4×D73—22no—
774C4×D73—21no—
775C4×D73—21no—
776C4×D73—21no—
777C4×D73—21no—
778C4×D73—41no—
779C4×D73—41no—
780C4×D73—41no—
781C4×D73—42no—
782C4×D73—42no—
783C4×D73—42no—
784C4×D73—42no—
785C4×D73—42no—
786C4×D73—42no—
787C4×D73—42no—
788C4×D73—81no—
789C4×D73—81no—
790C4×D73—81no—
791C4×D73—81no—
792C4×D73—81no—
793C4×D73—81no—
794Dic146—21no—
795Dic146—41no—
796Dic146—42no—
797Dic146—42no—
798Dic146—81no—
799Dic146C2×#4112yes—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—41no—
812C22×C73—41no—
813C22×C73—41no—
814C22×C73—41no—
815C22×C73—41no—
816C22×C73—41no—
817C22×C73C23×D411yescharacteristic
818C2×D73—21no—
819C2×D73—21no—
820C2×D73—21no—
821C2×D73—21no—
822C2×D73—22no—
823C2×D73—21no—
824C2×D73—41no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—84no—
833C2×D73—84no—
834C2×D73#57512yes—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73—41no—
846C4×C73C22×#4111yescharacteristic
847C4×C73#58511yescharacteristic
848Dic73—21no—
849Dic73—21no—
850Dic73—22no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—41no—
861C2×C73—81no—
862C2×C73—81no—
863C2×C73D4×#4111yescharacteristic
864C2×C73C2×#57511yescharacteristic
865C2×C73#358511yescharacteristic
866D73—22no—
867D73—41no—
868D73—42no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480—731no—
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183D7311yescharacteristic, complemented
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—731no—
907#559—731no—
908#559—1461no—
909#557—731no—
910#556—731no—
911#556—1461no—
912#554—731no—
913#554—731no—
914#553—731no—
915#553—731no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553—1461no—
920#553—1461no—
921#551—1461no—
922#551—1461no—
923#550—731no—
924#548—731no—
925#548—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—731no—
931#532—731no—
932#532—1461no—
933#529—731no—
934#529—731no—
935#529—1461no—
936#529—1461no—
937#529—1461no—
938#529C2×D7311yescharacteristic
939#529C2×D7311yescharacteristic, complemented
940#525—1461no—
941#525—1461no—
942C4×#41—731no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—1461no—
947C2×C4×Q8—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499C2×D7311yescharacteristic, complemented
954#496—731no—
955#496—731no—
956#495C2×D7311yescharacteristic, complemented
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488C2×D7311yescharacteristic, complemented
962#488C2×D7311yescharacteristic, complemented
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470C2×D7311yescharacteristic, complemented
988#469C2×D7311yescharacteristic
989#468C2×D7311yescharacteristic
990#468C2×D7311yescharacteristic, complemented
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442C2×D7311yescharacteristic, complemented
1032#441—731no—
1033#441—731no—
1034#441C2×D7311yescharacteristic, complemented
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440C2×D7311yescharacteristic, complemented
1048#440C2×D7311yescharacteristic, complemented
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16C2×D7311yescharacteristic, complemented
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—731no—
1078C2×#41—1461no—
1079C2×#41—1461no—
1080C22×Q8—731no—
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—1464no—
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8C22×D7311yescharacteristic
1105C2×M16C22×D7311yescharacteristic
1106C2×M16C22×D7311yescharacteristic
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C4⋊Q8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8—1461no—
1114#127—731no—
1115#127—731no—
1116#127—1461no—
1117#126—21no—
1118#126—21no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—731no—
1128#125—731no—
1129#125—1461no—
1130#125—1461no—
1131#125—1461no—
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—731no—
1135#124—731no—
1136#124—1461no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124—1461no—
1142#124—1461no—
1143#124C22×D7311yescharacteristic
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8C22×D7311yescharacteristic
1169C22⋊Q8C22×D7311yescharacteristic
1170#121—731no—
1171#121—731no—
1172#121—731no—
1173#121—731no—
1174#121—731no—
1175#121—731no—
1176#121—1461no—
1177#121—1461no—
1178#121—1461no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4—1461no—
1244C4×D4—1461no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—731no—
1256#117—731no—
1257#117—731no—
1258#117—731no—
1259#117—731no—
1260#117—731no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264#117—1461no—
1265#117—1461no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4—1461no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—731no—
1276C2×C42—731no—
1277C2×C42—1461no—
1278C2×C42—1461no—
1279C2×C42—1461no—
1280C2×C42—1461no—
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107C22×D7311yescharacteristic
1289#107C22×D7311yescharacteristic
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106C22×D7311yescharacteristic
1297#106C22×D7311yescharacteristic
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103C22×D7311yescharacteristic
1313#103C22×D7311yescharacteristic
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102C22×D7311yescharacteristic
1333#102C22×D7311yescharacteristic
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97C22×D7311yescharacteristic
1349#97C22×D7311yescharacteristic
1350C4×C8C22×D7311yescharacteristic
1351C4×C8C22×D7311yescharacteristic
1352C24—1461no—
1353C24—1461no—
1354#41—2921no—
1355#41—2924no—
1356#41—2922no—
1357#41—2921no—
1358#41—2921no—
1359#41—5842no—
1360#41—1462no—
1361#41—1462no—
1362#41—1462no—
1363C2×Q8—2921no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8—1461no—
1369C2×Q8—1462no—
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—2921no—
1375C2×D4—2924no—
1376C2×D4—2921no—
1377C2×D4—731no—
1378C2×D4—731no—
1379C2×D4—731no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1461no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1462no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1462no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4D4×D7311yescharacteristic
1430C22×C4D4×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—41no—
1433Q16—1462no—
1434SD16—22no—
1435SD16—22no—
1436SD16—2921no—
1437SD16—2921no—
1438SD16—734no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—41no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—22no—
1449M16—41no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8—1462no—
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C2×C8C23×D7311yescharacteristic
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
1516C22⋊C4—731no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C42—21no—
1543C42—21no—
1544C42—731no—
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42D4×D7311yescharacteristic
1560C42D4×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—5841no—
1570C23—5841no—
1571C23—731no—
1572C23—731no—
1573C23—1461no—
1574C23—1461no—
1575C23—1461no—
1576C23C2×D4×D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—2921no—
1582Q8—2922no—
1583Q8—2922no—
1584Q8—5841no—
1585Q8—732no—
1586Q8—1461no—
1587D4—21no—
1588D4—21no—
1589D4—21no—
1590D4—21no—
1591D4—42no—
1592D4—81no—
1593D4—2922no—
1594D4—2922no—
1595D4—2922no—
1596D4—2922no—
1597D4—2922no—
1598D4—2922no—
1599D4—2921no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—5841no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—732no—
1610D4—1462no—
1611D4—1462no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—2922no—
1630C2×C4—2922no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2921no—
1634C2×C4—2921no—
1635C2×C4—2921no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—5841no—
1641C2×C4—5841no—
1642C2×C4—5841no—
1643C2×C4—5841no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—731no—
1650C2×C4—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—1462no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4C2×D4×D7311yescharacteristic
1666C2×C4C2×D4×D7311yescharacteristic
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8#41×D7312yes—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—2921no—
1689C22—2921no—
1690C22—2921no—
1691C22—2921no—
1692C22—2921no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—5844no—
1697C22—5844no—
1698C22—732no—
1699C22—1461no—
1700C22—1462no—
1701C22—1461no—
1702C22—1461no—
1703C22—1461no—
1704C22—1461no—
1705C22C22×D4×D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—1461no—
1722C4—1461no—
1723C4—1461no—
1724C4—1462no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—2922no—
1734C2—2921no—
1735C2—5841no—
1736C2—5841no—
1737C2—1462no—
1738C2#2262341711yescharacteristic
1739C2#575×D7311yescharacteristic
1740C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3183C2
socleC22×C73C23×D4
hypercenter#3183D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3183

Complements

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

NH ≅ G/Ntype
1. #22623537C2semidirect
2. #22623522C2semidirect
3. #22623022C2semidirect
4. #22622882C2semidirect
5. #22622705C2semidirect
6. #22622690C2semidirect
7. #22622471C2semidirect
8. #22622411C2semidirect
9. #22622332C2semidirect
10. #22622067C2semidirect
11. #22622037C2semidirect
12. #22621962C2semidirect
13. #22621932C2semidirect
14. #22621832C2semidirect
15. #22621780C2semidirect
16. #22621637C2semidirect
17. #22621478C2semidirect
18. #22621433C2semidirect
19. #22620625C2semidirect
20. #22620625C2semidirect
21. #22620106C2semidirect
22. #22620078C2semidirect
23. #22620065C2semidirect
24. #22620046C2semidirect
25. #22620034C2semidirect
26. #22620020C2semidirect
27. #22618946C2semidirect
28. C4×#14556619C2semidirect
29. #22618726C2semidirect
30. #440×D73C2semidirect
31. C73×#3183C2semidirect
37. #17989319C22semidirect
38. #17989314C22semidirect
39. #17989308C22semidirect
44. #17989290C22semidirect
52. #17989255C22semidirect
54. #17989245C22semidirect
61. #17989134C22semidirect
63. #17989124C22semidirect
71. C4×#11924028C22semidirect
73. C4×#11924027C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
81. #17988973C22semidirect
83. #17988950C22semidirect
84. #17988948C22semidirect
85. #17988948C22semidirect
86. #17988926C22semidirect
87. #17988925C22semidirect
88. #17988921C22semidirect
89. #17988915C22semidirect
90. #17988913C22semidirect
91. #17988913C22semidirect
92. #17988909C22semidirect
95. #17988907C22semidirect
96. #17988904C22semidirect
97. #17988898C22semidirect
98. #17988897C22semidirect
99. #17988896C22semidirect
100. #17988892C22semidirect
101. #17988891C22semidirect
104. #17988884C22semidirect
105. #17988884C22semidirect
107. #17988875C22semidirect
108. #17988871C22semidirect
109. #17988865C22semidirect
111. #17988824C22semidirect
113. #17988822C22semidirect
114. #17988819C22semidirect
115. #17988819C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988812C22semidirect
119. #17988811C22semidirect
120. #17988811C22semidirect
121. #17988806C22semidirect
124. #17988799C22semidirect
125. #17988799C22semidirect
129. #17988780C22semidirect
131. #17988747C22semidirect
132. #17988741C22semidirect
135. #17988733C22semidirect
137. #17988729C22semidirect
142. #17988717C22semidirect
143. #17988717C22semidirect
145. #17988700C22semidirect
147. #17988697C22semidirect
148. #17988697C22semidirect
150. #17988692C22semidirect
151. #17988691C22semidirect
154. #17988689C22semidirect
155. #17988688C22semidirect
156. #17988688C22semidirect
157. #17988687C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988684C22semidirect
165. C4×#11924017C22semidirect
167. C4×D584C22semidirect
170. #17988656C22semidirect
171. #17988656C22semidirect
172. C8×D292C22semidirect
173. C8×D292C22semidirect
174. #17988644C22semidirect
175. #17988642C22semidirect
176. #17988642C22semidirect
177. #17988629C22semidirect
178. #17988624C22semidirect
179. #107×D73C22semidirect
181. #17988589C22semidirect
183. #17988580C22semidirect
184. #103×D73C22semidirect
186. #97×D73C22semidirect
187. #97×D73C22semidirect
189. #529×C73C22semidirect
190. #499×C73C22semidirect
191. #495×C73C22semidirect
192. #488×C73C22semidirect
193. #488×C73C22semidirect
194. #470×C73C22semidirect
197. #468×C73C22semidirect
198. #442×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×M16×C73C22semidirect
552. #11924017#41semidirect
889. #3183D73semidirect
902. C73#61456semidirect
939. #529C2×D73semidirect
953. #499C2×D73semidirect
956. #495C2×D73semidirect
961. #488C2×D73semidirect
962. #488C2×D73semidirect
987. #470C2×D73semidirect
990. #468C2×D73semidirect
1031. #442C2×D73semidirect
1034. #441C2×D73semidirect
1047. #440C2×D73semidirect
1048. #440C2×D73semidirect
1071. C4×M16C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235372
#226235222
#226230222
#226228822
#226227052
#226226902
#226224712
#226224112
#226223322
#226220672
#226220372
#226219622
#226219322
#226218322
#226217802
#226216372
#226214782
#226214332
#226206252
#226201062
#226200782
#226200652
#226200462
#226200342
#226200202
#226189462
C4×#145566192
#226187262
#440×D732
C73×#31832
#6145673