Finite Group Databasebeta

← #33979002

Subgroups — #33979002

Order 18688.

1870 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623880C211yesmaximal, characteristic, complemented
2#22623528C211yesmaximal, characteristic, complemented
3#22623014C211yesmaximal, characteristic, complemented
4#22622990C211yesmaximal, characteristic, complemented
5#22622780C211yesmaximal, characteristic, complemented
6#22622706C211yesmaximal, characteristic, complemented
7#22622108C211yesmaximal, characteristic, complemented
8#22622078C211yesmaximal, characteristic, complemented
9#22621994C211yesmaximal, characteristic, complemented
10#22621964C211yesmaximal, characteristic, complemented
11#22621839C211yesmaximal, characteristic, complemented
12#22621787C211yesmaximal, characteristic, complemented
13#22621669C211yesmaximal, characteristic, complemented
14#22621635C211yesmaximal, characteristic, complemented
15#22621511C211yesmaximal, characteristic, complemented
16#22621498C211yesmaximal, characteristic, complemented
17#22621477C211yesmaximal, characteristic, complemented
18#22621423C211yesmaximal, characteristic, complemented
19#22621331C211yesmaximal, characteristic, complemented
20#22621282C211yesmaximal, characteristic, complemented
21#22620967C211yesmaximal, characteristic, complemented
22#22620914C211yesmaximal, characteristic, complemented
23#22620894C211yesmaximal, characteristic, complemented
24#22620098C211yesmaximal, characteristic, complemented
25#22620045C211yesmaximal, characteristic, complemented
26#22619954C211yesmaximal, characteristic, complemented
27#22619420C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29C2×#17988810C211yesmaximal, characteristic, complemented
30#22619053C211yesmaximal, characteristic, complemented
31C73×#3247C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36C22×Dic292C2211yescharacteristic, complemented
37C22×#11924017C2211yescharacteristic
38#17989323C2211yescharacteristic, complemented
39#17989320C2211yescharacteristic
40#17989319—21no—
41#17989312C2211yescharacteristic, complemented
42#17989311C2211yescharacteristic, complemented
43#17989309C2211yescharacteristic
44#17989306—21no—
45#17989300—21no—
46#17989289C2211yescharacteristic
47#17989289C2211yescharacteristic, complemented
48#17989280—21no—
49#17989280—21no—
50#17989261—21no—
51#17989260—21no—
52#17989257C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic
54#17989249C2211yescharacteristic
55#17989243C2211yescharacteristic
56#17989243C2211yescharacteristic
57#17989243C2211yescharacteristic, complemented
58#17989232C2211yescharacteristic
59#17989229—21no—
60#17989228C2211yescharacteristic
61#17989221C2211yescharacteristic
62#17989203—21no—
63#17989176—21no—
64#17989170—21no—
65#17989136C2211yescharacteristic
66#17989133—21no—
67#17989122C2211yescharacteristic
68#17989122C2211yescharacteristic
69#17989119C2211yescharacteristic, complemented
70#17989119C2211yescharacteristic, complemented
71#17989117—21no—
72#17989117—21no—
73C2×#14556579C2211yescharacteristic
74#124×D73C2211yescharacteristic
75#17989059—21no—
76#41×Dic73—21no—
77C4×#11924028C2211yescharacteristic
78C4×#11924027C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic, complemented
80C2×C4×Dic146C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic
83#17988974C2211yescharacteristic
84#17988974C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic
87#17988954C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic
89#17988949C2211yescharacteristic
90#17988949C2211yescharacteristic, complemented
91#17988943C2211yescharacteristic
92#17988940C2211yescharacteristic, complemented
93#17988931C2211yescharacteristic, complemented
94#17988930C2211yescharacteristic, complemented
95#17988920C2211yescharacteristic, complemented
96#17988914C2211yescharacteristic
97#17988913C2211yescharacteristic
98#17988903C2211yescharacteristic
99#17988897C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988886C2211yescharacteristic, complemented
105#17988846C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic
107#17988834C2211yescharacteristic
108#17988832C2211yescharacteristic, complemented
109#17988829C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic
111#17988817C2211yescharacteristic
112#17988815C2211yescharacteristic, complemented
113#17988812C2211yescharacteristic
114#17988810C2211yescharacteristic
115#17988810C2211yescharacteristic
116#17988810C2211yescharacteristic
117#17988810C2211yescharacteristic
118#17988810C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988810C2211yescharacteristic, complemented
121#17988810C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988806C2211yescharacteristic, complemented
126#17988806C2211yescharacteristic, complemented
127#17988804C2211yescharacteristic
128#17988802C2211yescharacteristic
129#17988802C2211yescharacteristic
130#17988802C2211yescharacteristic, complemented
131#17988802C2211yescharacteristic, complemented
132#17988801C2211yescharacteristic
133#17988801C2211yescharacteristic, complemented
134#17988800C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988790C2211yescharacteristic, complemented
137#17988786C2211yescharacteristic
138#17988780C2211yescharacteristic
139#17988752C2211yescharacteristic, complemented
140#17988750C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988744C2211yescharacteristic, complemented
144#17988742C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic
146#17988733C2211yescharacteristic
147#17988733C2211yescharacteristic
148#17988731C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988725C2211yescharacteristic
151#17988725C2211yescharacteristic, complemented
152#17988725C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic, complemented
154#17988720C2211yescharacteristic
155#17988720C2211yescharacteristic
156#17988719C2211yescharacteristic
157#17988716C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988696C2211yescharacteristic
160#17988693C2211yescharacteristic, complemented
161#17988692C2211yescharacteristic, complemented
162#17988692C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988686C2211yescharacteristic
166#17988684C2211yescharacteristic, complemented
167#17988681C2211yescharacteristic, complemented
168#17988678C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic
172#17988658C2211yescharacteristic
173#17988657C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988643C2211yescharacteristic, complemented
179#17988639C2211yescharacteristic, complemented
180#17988609C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186C2×#14556516C2211yescharacteristic, complemented
187C2×#14556513C2211yescharacteristic
188#532×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#478×C73C2211yescharacteristic, complemented
191#478×C73C2211yescharacteristic, complemented
192#477×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#466×C73C2211yescharacteristic
196#465×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#463×C73C2211yescharacteristic, complemented
199#463×C73C2211yescharacteristic, complemented
200#460×C73C2211yescharacteristic, complemented
201#459×C73C2211yescharacteristic, complemented
202C2×C4⋊C8×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C2×#11924027C2311yescharacteristic
207C2×#11924027C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C22×Dic146C2311yescharacteristic
210C2×Q8×D73C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214#14556620—42no—
215#14556615—42no—
216#14556612—42no—
217#14556610—42no—
218C2×Dic292—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×Dic292C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017—42no—
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924011C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×C8×D73C2311yescharacteristic
243C2×C8×D73C2311yescharacteristic
244#14556590—21no—
245#14556589—21no—
246#14556589C2311yescharacteristic
247#14556587—21no—
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556585—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584—21no—
258#14556584—21no—
259#14556582C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556580—21no—
264#14556580C2311yescharacteristic
265#14556579—21no—
266#14556579—21no—
267#14556579—21no—
268#14556579C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556579C2311yescharacteristic
271#14556579C2311yescharacteristic
272#14556578—21no—
273#14556578C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556575—21no—
286#14556575—21no—
287#14556575—21no—
288#14556574—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556572—21no—
293#14556572—21no—
294#14556571—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556571C2311yescharacteristic
298#14556571C2311yescharacteristic
299#14556569—21no—
300#14556569—21no—
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146D411yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333C4×Dic146C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335C4×Dic146C2311yescharacteristic
336#14556556C2311yescharacteristic
337#14556556C2311yescharacteristic
338#14556556C2311yescharacteristic
339#14556556C2311yescharacteristic
340C4×D292—21no—
341C4×D292D411yescharacteristic
342C4×D292C2311yescharacteristic
343D4×Dic73—21no—
344D4×Dic73—21no—
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553—21no—
353#14556553—21no—
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73D411yescharacteristic
362C4×C22⋊D73D411yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556550—21no—
371#14556550—21no—
372#14556550D411yescharacteristic
373#14556549—21no—
374#14556549—21no—
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548D411yescharacteristic
379#14556548D411yescharacteristic
380#14556547—21no—
381#14556547—21no—
382C2×C4⋊Dic73C2311yescharacteristic
383C2×#11924007—21no—
384C2×#11924005—21no—
385C2×#11924005—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73—21no—
392C2×C4×Dic73—21no—
393C42×D73C2311yescharacteristic
394C42×D73C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73—21no—
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×D8×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#127×C73C2311yescharacteristic
450#126×C73—21no—
451#125×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73C2311yescharacteristic
454#123×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466#117×C73—21no—
467C2×C42×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471#106×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—42no—
489#11924027—22no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—41no—
495C2×Dic146—22no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—41no—
500C2×Dic146—41no—
501C2×Dic146—41no—
502C2×Dic146C2×D411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507Q8×D73—41no—
508Q8×D73—41no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—41no—
514C2×D292—41no—
515C2×D292C2×D411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73C2×D411yescharacteristic
527C2×C22⋊D73C2×D411yescharacteristic
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—44no—
531C22×Dic73—21no—
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73C2×D411yescharacteristic
544C2×C4×D73C2×D411yescharacteristic
545C2×C4×D73C2×D411yescharacteristic
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—22no—
550Dic292—22no—
551Dic292—41no—
552Dic292—41no—
553#11924018—22no—
554#11924018—41no—
555#11924017—22no—
556#11924017—22no—
557#11924017—41no—
558#11924017—41no—
559#11924016—22no—
560#11924016—41no—
561#11924016—41no—
562#11924016—41no—
563#11924016—41no—
564#11924016—41no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924013—41no—
569#11924011—41no—
570#11924011—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C8×D73—41no—
576C8×D73—41no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656#41×C73—44no—
657C2×Q8×C73—21no—
658C2×Q8×C73C2411yescharacteristic
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73C2×D411yescharacteristic
671C22×C4×C73C2×D411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673SD16×C73—41no—
674SD16×C73—41no—
675D8×C73—41no—
676D8×C73—41no—
677C2×C8×C73—41no—
678C2×C8×C73—41no—
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C42×C73—21no—
702C42×C73C2×D411yescharacteristic
703C42×C73C2×D411yescharacteristic
704C42×C73C2411yescharacteristic
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73C22×D411yescharacteristic
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—81no—
715C22×D73—81no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—42no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—42no—
730D4×C73—42no—
731D4×C73—42no—
732D4×C73—42no—
733D4×C73—81no—
734C2×C4×C73—22no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—41no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73—81no—
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C2511yescharacteristic
752C22⋊D73—22no—
753C22⋊D73—22no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—41no—
787D292—42no—
788D292—81no—
789D292—81no—
790D292—81no—
791C4×D73—21no—
792C4×D73—21no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—41no—
796C4×D73—41no—
797C4×D73—41no—
798C4×D73—41no—
799C4×D73—42no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803Dic146—21no—
804Dic146—21no—
805Dic146—21no—
806Dic146—21no—
807Dic146—21no—
808Dic146—21no—
809Dic146—21no—
810Dic146—41no—
811Dic146—42no—
812Dic146—81no—
813Dic146—81no—
814Dic146H(5,𝔽2)12yes—
815C8×C73—21no—
816C8×C73—21no—
817C8×C73—21no—
818C8×C73—21no—
819#10596831—21no—
820#10596831—21no—
821#10596831—21no—
822#10596831—21no—
823C22×C73—21no—
824C22×C73—21no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73#57512yes—
835C22×C73C23×D411yescharacteristic
836C2×D73—21no—
837C2×D73—21no—
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—162no—
849C2×D73—162no—
850C4×C73—21no—
851C4×C73—21no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—41no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73C2×H(5,𝔽2)11yescharacteristic
861C4×C73#58511yescharacteristic
862Dic73—21no—
863Dic73—21no—
864Dic73—22no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874#61992—731nomaximal, Sylow
875C2×C73—22no—
876C2×C73—81no—
877C2×C73—81no—
878C2×C73—81no—
879C2×C73#348811yescharacteristic
880C2×C73C2×#57511yescharacteristic
881C2×C73#358411yescharacteristic
882D73—41no—
883D73—41no—
884D73—81no—
885D73—81no—
886#3514—731no—
887#3480—731no—
888#3403—731no—
889#3401—731no—
890#3377—731no—
891#3371—731no—
892#3320—731no—
893#3318—731no—
894#3313—731no—
895#3311—731no—
896#3301—731no—
897#3297—731no—
898#3285—731no—
899#3282—731no—
900#3271—731no—
901#3270—731no—
902#3268—731no—
903#3265—731no—
904#3256—731no—
905#3250—731no—
906#3247D7311yescharacteristic, complemented
907#3219—731no—
908#3213—731no—
909#3211—731no—
910#3117—731no—
911#3111—731no—
912#3102—731no—
913#3040—731no—
914#3035—731no—
915C2×#464—731no—
916#2990—731no—
917C73#6199211yescharacteristic, complemented, Sylow
918C2×#137—731no—
919C2×AGL(1,ℤ/8)—731no—
920C2×#135—731no—
921C2×#135—731no—
922C22×Q16—731no—
923C22×SD16—731no—
924#559—731no—
925#559—731no—
926#559—1461no—
927#557—731no—
928#556—731no—
929#556—731no—
930#556—1461no—
931#555—1461no—
932#553—731no—
933#553—731no—
934#553—1461no—
935#553—1461no—
936#551—1461no—
937#551—1461no—
938#550—731no—
939D4×Q8—731no—
940#548—731no—
941#548—731no—
942#548—731no—
943#548—731no—
944#546—731no—
945#546—731no—
946#546—1461no—
947D42—731no—
948#542—1461no—
949#538—1461no—
950#538—1461no—
951#532—731no—
952#532—1461no—
953#532C2×D7311yescharacteristic, complemented
954#529—731no—
955#529—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#529C2×D7311yescharacteristic
961C2×#124—731no—
962C2×#124—731no—
963#518—1461no—
964C4×#41—731no—
965C4×#41—731no—
966C4×#41—731no—
967C4×#41—1461no—
968C2×C4×Q8—731no—
969#497—731no—
970#496—731no—
971#496—731no—
972#496—731no—
973#495—731no—
974#495—731no—
975#491—731no—
976#490—731no—
977#489—731no—
978#489—731no—
979#488—731no—
980#488—731no—
981#485—731no—
982#485—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#479—731no—
988#479—731no—
989#479—731no—
990#479—731no—
991#478—731no—
992#478—731no—
993#478C2×D7311yescharacteristic, complemented
994#478C2×D7311yescharacteristic, complemented
995#477C2×D7311yescharacteristic, complemented
996#476C2×D7311yescharacteristic, complemented
997#470—731no—
998#469—731no—
999#468—731no—
1000#468—731no—
1001#467—731no—
1002#466—731no—
1003#466C2×D7311yescharacteristic
1004#466C2×D7311yescharacteristic
1005#465—731no—
1006#465—731no—
1007#465C2×D7311yescharacteristic, complemented
1008#465C2×D7311yescharacteristic, complemented
1009#464—731no—
1010#464—731no—
1011#464—731no—
1012#464—731no—
1013#464—731no—
1014#464—731no—
1015#464—731no—
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#463—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463C2×D7311yescharacteristic, complemented
1032#463C2×D7311yescharacteristic, complemented
1033#462—731no—
1034#461—731no—
1035#460—731no—
1036#460C2×D7311yescharacteristic, complemented
1037#459—731no—
1038#459C2×D7311yescharacteristic, complemented
1039#452—731no—
1040#452—731no—
1041#452—731no—
1042#452—731no—
1043#451—731no—
1044#451—731no—
1045#450—731no—
1046#449—731no—
1047#449—731no—
1048#449—731no—
1049#449—731no—
1050#448—731no—
1051#448—731no—
1052#448—731no—
1053#448—731no—
1054#447—731no—
1055#447—731no—
1056#447—731no—
1057#446—731no—
1058#446—731no—
1059#442—731no—
1060#441—731no—
1061#441—731no—
1062#441—731no—
1063#440—731no—
1064#440—731no—
1065#440—731no—
1066#440—731no—
1067C4×Q16—731no—
1068C4×SD16—731no—
1069C4×SD16—731no—
1070C4×D8—731no—
1071#435—731no—
1072#435—731no—
1073#435—731no—
1074#435—731no—
1075C8×D4—731no—
1076C8×D4—731no—
1077#432—731no—
1078#432—731no—
1079#431—731no—
1080#423—731no—
1081C2×C4⋊C8—731no—
1082C2×C4⋊C8C2×D7311yescharacteristic, complemented
1083#419—731no—
1084#418—731no—
1085#416—731no—
1086#416—731no—
1087C2×#103—731no—
1088C2×#102—731no—
1089C2×#41—21no—
1090C2×#41—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—731no—
1094C2×#41—731no—
1095C22×Q8—731no—
1096C22×Q8—731no—
1097C22×Q8—731no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101#137—2922no—
1102AGL(1,ℤ/8)—2922no—
1103#135—2922no—
1104#135—2922no—
1105C2×Q16—2922no—
1106C2×Q16—731no—
1107C2×Q16—731no—
1108C2×Q16—731no—
1109C2×Q16—731no—
1110C2×Q16—731no—
1111C2×Q16—731no—
1112C2×SD16—2922no—
1113C2×SD16—731no—
1114C2×SD16—731no—
1115C2×SD16—731no—
1116C2×SD16—731no—
1117C2×SD16—731no—
1118C2×SD16—731no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16C22×D7311yescharacteristic
1124C2×SD16C22×D7311yescharacteristic
1125C2×D8—731no—
1126C2×D8—731no—
1127C2×D8—731no—
1128C2×D8—731no—
1129C2×D8C22×D7311yescharacteristic
1130C2×D8C22×D7311yescharacteristic
1131C2×M16—731no—
1132C2×M16—731no—
1133C22×C8—731no—
1134C22×C8—731no—
1135C22×C8C22×D7311yescharacteristic
1136C22×C8C22×D7311yescharacteristic
1137C4⋊Q8—731no—
1138C4⋊Q8—1461no—
1139C4⋊Q8—1461no—
1140C4⋊Q8C22×D7311yescharacteristic
1141#127—731no—
1142#127—1461no—
1143#127C22×D7311yescharacteristic
1144#126—21no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#126—1461no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#125—731no—
1156#125—731no—
1157#125—1461no—
1158#125—1461no—
1159#125C22×D7311yescharacteristic
1160#124—21no—
1161#124—731no—
1162#124—731no—
1163#124—731no—
1164#124—731no—
1165#124—731no—
1166#124—731no—
1167#124—731no—
1168#124—731no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#124—1461no—
1173#124—1461no—
1174#124—1461no—
1175#124—1461no—
1176#124—1461no—
1177#124—1461no—
1178#124—1461no—
1179#124—1461no—
1180#124C22×D7311yescharacteristic
1181#123—21no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8C22×D7311yescharacteristic
1206#121—21no—
1207#121—731no—
1208#121—731no—
1209#121—731no—
1210#121—731no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121C22×D7311yescharacteristic
1225#121C22×D7311yescharacteristic
1226#121C22×D7311yescharacteristic
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—731no—
1236C4×Q8—731no—
1237C4×Q8—731no—
1238C4×Q8—731no—
1239C4×Q8—731no—
1240C4×Q8—731no—
1241C4×Q8—1461no—
1242C4×Q8—1461no—
1243C4×Q8—1461no—
1244C4×Q8—1461no—
1245C4×Q8C22×D7311yescharacteristic
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4C22×D7311yescharacteristic
1279C4×D4C22×D7311yescharacteristic
1280C4×D4C22×D7311yescharacteristic
1281#117—21no—
1282#117—731no—
1283#117—731no—
1284#117—731no—
1285#117—731no—
1286#117—731no—
1287#117—1461no—
1288#117—1461no—
1289#117—1461no—
1290#117—1461no—
1291#117—1461no—
1292#117—1461no—
1293#117—1461no—
1294C2×C4⋊C4—731no—
1295C2×C4⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C22⋊C4—1461no—
1300C2×C22⋊C4—1461no—
1301C2×C22⋊C4—1461no—
1302C2×C42—731no—
1303C2×C42—731no—
1304C2×C42—1461no—
1305C2×C42—1461no—
1306C2×C42—1461no—
1307C2×C42C22×D7311yescharacteristic
1308#107—731no—
1309#107—731no—
1310#107C22×D7311yescharacteristic
1311#107C22×D7311yescharacteristic
1312#106—731no—
1313#106—731no—
1314#106C22×D7311yescharacteristic
1315#106C22×D7311yescharacteristic
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8C22×D7311yescharacteristic
1323C4⋊C8C22×D7311yescharacteristic
1324C4⋊C8C22×D7311yescharacteristic
1325C4⋊C8C22×D7311yescharacteristic
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103C22×D7311yescharacteristic
1341#103C22×D7311yescharacteristic
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102C22×D7311yescharacteristic
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357#102C22×D7311yescharacteristic
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363C22⋊C8—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97—731no—
1368C4×C8—731no—
1369C4×C8—731no—
1370C24—1461no—
1371C24—1461no—
1372#41—44no—
1373#41—2922no—
1374#41—2921no—
1375#41—2921no—
1376#41—2921no—
1377#41—2921no—
1378#41—2921no—
1379#41—2921no—
1380#41—1462no—
1381#41—1462no—
1382C2×Q8—21no—
1383C2×Q8—2921no—
1384C2×Q8—2921no—
1385C2×Q8—2921no—
1386C2×Q8—2921no—
1387C2×Q8—2921no—
1388C2×Q8—731no—
1389C2×Q8—731no—
1390C2×Q8—731no—
1391C2×Q8—731no—
1392C2×Q8—731no—
1393C2×Q8—1462no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8C23×D7311yescharacteristic
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—2921no—
1404C2×D4—2921no—
1405C2×D4—2924no—
1406C2×D4—2921no—
1407C2×D4—2921no—
1408C2×D4—731no—
1409C2×D4—731no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—731no—
1432C22×C4—731no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
1436C22×C4—731no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4—1461no—
1444C22×C4—1461no—
1445C22×C4—1461no—
1446C22×C4—1461no—
1447C22×C4—1461no—
1448C22×C4—1461no—
1449C22×C4D4×D7311yescharacteristic
1450C22×C4D4×D7311yescharacteristic
1451C22×C4C23×D7311yescharacteristic
1452Q16—2921no—
1453Q16—2921no—
1454Q16—2921no—
1455Q16—1462no—
1456Q16—1462no—
1457Q16—1462no—
1458SD16—41no—
1459SD16—41no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—2921no—
1463SD16—2921no—
1464SD16—2921no—
1465SD16—2921no—
1466SD16—2921no—
1467SD16—1462no—
1468SD16—1462no—
1469SD16—1462no—
1470D8—41no—
1471D8—41no—
1472D8—2921no—
1473D8—2921no—
1474D8—2921no—
1475D8—2921no—
1476M16—2921no—
1477M16—2921no—
1478C2×C8—41no—
1479C2×C8—41no—
1480C2×C8—2921no—
1481C2×C8—2921no—
1482C2×C8—731no—
1483C2×C8—731no—
1484C2×C8—731no—
1485C2×C8—731no—
1486C2×C8C23×D7311yescharacteristic
1487C2×C8C23×D7311yescharacteristic
1488C2×C8C23×D7311yescharacteristic
1489C2×C8C23×D7311yescharacteristic
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4C23×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C42—21no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—731no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42—1461no—
1584C42—1461no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42D4×D7311yescharacteristic
1589C42D4×D7311yescharacteristic
1590C42C23×D7311yescharacteristic
1591C42C23×D7311yescharacteristic
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—2922no—
1596C23—2922no—
1597C23—5841no—
1598C23—5841no—
1599C23—5841no—
1600C23—5841no—
1601C23—731no—
1602C23—731no—
1603C23—1461no—
1604C23—1461no—
1605C23C2×D4×D7311yescharacteristic
1606Q8—21no—
1607Q8—21no—
1608Q8—42no—
1609Q8—2922no—
1610Q8—2921no—
1611Q8—5841no—
1612Q8—5841no—
1613Q8—732no—
1614Q8—1461no—
1615Q8—1461no—
1616Q8—1461no—
1617Q8—1461no—
1618Q8—1461no—
1619Q8—1461no—
1620Q8—1461no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—42no—
1631D4—81no—
1632D4—2921no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—5841no—
1638D4—5841no—
1639D4—5841no—
1640D4—5841no—
1641D4—5841no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—1462no—
1646D4—1462no—
1647D4—1461no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—41no—
1660C2×C4—42no—
1661C2×C4—42no—
1662C2×C4—81no—
1663C2×C4—2921no—
1664C2×C4—2921no—
1665C2×C4—2921no—
1666C2×C4—2921no—
1667C2×C4—2922no—
1668C2×C4—2922no—
1669C2×C4—2922no—
1670C2×C4—2922no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—1461no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1461no—
1692C2×C4—1461no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C2×D4×D7311yescharacteristic
1700C2×C4C24×D7311yescharacteristic
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—21no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C8—1461no—
1709C22—21no—
1710C22—21no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—2921no—
1721C22—2921no—
1722C22—2921no—
1723C22—2921no—
1724C22—2921no—
1725C22—2921no—
1726C22—11682no—
1727C22—11682no—
1728C22—1461no—
1729C22—1461no—
1730C22—1461no—
1731C22—1461no—
1732C22—1461no—
1733C22—1461no—
1734C22#1798938312yes—
1735C22C22×D4×D7311yescharacteristic
1736C4—21no—
1737C4—21no—
1738C4—21no—
1739C4—21no—
1740C4—21no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—2921no—
1747C4—2921no—
1748C4—2921no—
1749C4—2921no—
1750C4—2921no—
1751C4—1462no—
1752C4—1461no—
1753C4—1461no—
1754C4—1461no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4H(5,𝔽2)×D7311yescharacteristic
1759C4#1798942411yescharacteristic
1760C2—22no—
1761C2—81no—
1762C2—81no—
1763C2—81no—
1764C2—2921no—
1765C2—2921no—
1766C2—5841no—
1767C2—5841no—
1768C2#2262359511yescharacteristic
1769C2C2×#1798938311yescharacteristic
1770C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3247C2
socleC22×C73C23×D4
hypercenter#3247D73
hypocenterC73#61992
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3247

Complements

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

NH ≅ G/Ntype
1. #22623880C2semidirect
2. #22623528C2semidirect
3. #22623014C2semidirect
4. #22622990C2semidirect
5. #22622780C2semidirect
6. #22622706C2semidirect
7. #22622108C2semidirect
8. #22622078C2semidirect
9. #22621994C2semidirect
10. #22621964C2semidirect
11. #22621839C2semidirect
12. #22621787C2semidirect
13. #22621669C2semidirect
14. #22621635C2semidirect
15. #22621511C2semidirect
16. #22621498C2semidirect
17. #22621477C2semidirect
18. #22621423C2semidirect
19. #22621331C2semidirect
20. #22621282C2semidirect
21. #22620967C2semidirect
22. #22620914C2semidirect
23. #22620894C2semidirect
24. #22620098C2semidirect
25. #22620045C2semidirect
26. #22619954C2semidirect
27. #22619420C2semidirect
28. #22619383C2semidirect
29. C2×#17988810C2semidirect
30. #22619053C2semidirect
31. C73×#3247C2semidirect
32. C2×#14556620C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
36. C22×Dic292C22semidirect
38. #17989323C22semidirect
41. #17989312C22semidirect
42. #17989311C22semidirect
47. #17989289C22semidirect
52. #17989257C22semidirect
57. #17989243C22semidirect
69. #17989119C22semidirect
70. #17989119C22semidirect
78. C4×#11924027C22semidirect
79. C4×#11924027C22semidirect
80. C2×C4×Dic146C22semidirect
81. #17988978C22semidirect
84. #17988974C22semidirect
85. #17988970C22semidirect
87. #17988954C22semidirect
90. #17988949C22semidirect
92. #17988940C22semidirect
93. #17988931C22semidirect
94. #17988930C22semidirect
95. #17988920C22semidirect
99. #17988897C22semidirect
100. #17988893C22semidirect
101. #17988891C22semidirect
102. #17988891C22semidirect
104. #17988886C22semidirect
105. #17988846C22semidirect
108. #17988832C22semidirect
109. #17988829C22semidirect
112. #17988815C22semidirect
118. #17988810C22semidirect
119. #17988810C22semidirect
120. #17988810C22semidirect
121. #17988810C22semidirect
122. #17988808C22semidirect
123. #17988808C22semidirect
124. #17988808C22semidirect
125. #17988806C22semidirect
126. #17988806C22semidirect
130. #17988802C22semidirect
131. #17988802C22semidirect
133. #17988801C22semidirect
134. #17988800C22semidirect
135. #17988796C22semidirect
136. #17988790C22semidirect
139. #17988752C22semidirect
140. #17988750C22semidirect
141. #17988750C22semidirect
142. #17988750C22semidirect
143. #17988744C22semidirect
144. #17988742C22semidirect
148. #17988731C22semidirect
149. #17988729C22semidirect
151. #17988725C22semidirect
152. #17988725C22semidirect
153. #17988724C22semidirect
157. #17988716C22semidirect
158. #17988716C22semidirect
160. #17988693C22semidirect
161. #17988692C22semidirect
162. #17988692C22semidirect
163. #17988687C22semidirect
164. #17988687C22semidirect
166. #17988684C22semidirect
167. #17988681C22semidirect
168. #17988678C22semidirect
169. #17988674C22semidirect
170. #17988667C22semidirect
173. #17988657C22semidirect
174. #17988657C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988643C22semidirect
179. #17988639C22semidirect
180. #17988609C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988594C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. C2×#14556516C22semidirect
188. #532×C73C22semidirect
190. #478×C73C22semidirect
191. #478×C73C22semidirect
192. #477×C73C22semidirect
193. #476×C73C22semidirect
196. #465×C73C22semidirect
197. #465×C73C22semidirect
198. #463×C73C22semidirect
199. #463×C73C22semidirect
200. #460×C73C22semidirect
201. #459×C73C22semidirect
202. C2×C4⋊C8×C73C22semidirect
906. #3247D73semidirect
917. C73#61992semidirect
953. #532C2×D73semidirect
993. #478C2×D73semidirect
994. #478C2×D73semidirect
995. #477C2×D73semidirect
996. #476C2×D73semidirect
1007. #465C2×D73semidirect
1008. #465C2×D73semidirect
1031. #463C2×D73semidirect
1032. #463C2×D73semidirect
1036. #460C2×D73semidirect
1038. #459C2×D73semidirect
1082. C2×C4⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238802
#226235282
#226230142
#226229902
#226227802
#226227062
#226221082
#226220782
#226219942
#226219642
#226218392
#226217872
#226216692
#226216352
#226215112
#226214982
#226214772
#226214232
#226213312
#226212822
#226209672
#226209142
#226208942
#226200982
#226200452
#226199542
#226194202
#226193832
C2×#179888102
#226190532
C73×#32472
#6199273