Finite Group Databasebeta

← #33978684

Subgroups — #33978684

Order 18688.

1980 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623804C211yesmaximal, characteristic, complemented
2#22623540C211yesmaximal, characteristic, complemented
3#22623015C211yesmaximal, characteristic, complemented
4#22622686C211yesmaximal, characteristic, complemented
5#22622678C211yesmaximal, characteristic, complemented
6#22622019C211yesmaximal, characteristic, complemented
7#22622017C211yesmaximal, characteristic, complemented
8#22621944C211yesmaximal, characteristic, complemented
9#22621942C211yesmaximal, characteristic, complemented
10#22621788C211yesmaximal, characteristic, complemented
11#22621786C211yesmaximal, characteristic, complemented
12#22621615C211yesmaximal, characteristic, complemented
13#22621611C211yesmaximal, characteristic, complemented
14#22621470C211yesmaximal, characteristic, complemented
15#22621466C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621290C211yesmaximal, characteristic, complemented
19#22621265C211yesmaximal, characteristic, complemented
20#22621239C211yesmaximal, characteristic, complemented
21#22620945C211yesmaximal, characteristic, complemented
22#22620921C211yesmaximal, characteristic, complemented
23#22620902C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620028C211yesmaximal, characteristic, complemented
26#22619929C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619055C211yesmaximal, characteristic, complemented
31C73×#3403C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556615C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C2×D8×D73C2211yescharacteristic
37C2×D8×D73C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989319—21no—
40#17989297C2211yescharacteristic
41#17989297C2211yescharacteristic, complemented
42#17989287—21no—
43#17989287C2211yescharacteristic
44#17989287C2211yescharacteristic, complemented
45#17989265—21no—
46#17989265—21no—
47#17989259C2211yescharacteristic, complemented
48#17989258—21no—
49#17989257C2211yescharacteristic, complemented
50#17989232C2211yescharacteristic
51#17989232C2211yescharacteristic, complemented
52#17989230—21no—
53#17989230C2211yescharacteristic
54#17989230C2211yescharacteristic
55#17989230C2211yescharacteristic, complemented
56#17989230C2211yescharacteristic, complemented
57#17989229—21no—
58#17989229—21no—
59#17989222C2211yescharacteristic
60#17989189—21no—
61#17989189—21no—
62#17989155—21no—
63#17989141C2211yescharacteristic, complemented
64#17989136C2211yescharacteristic, complemented
65#17989136C2211yescharacteristic, complemented
66#17989135C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic, complemented
69#127×D73C2211yescharacteristic, complemented
70#17989116—21no—
71#17989116C2211yescharacteristic
72#17989116C2211yescharacteristic, complemented
73#17989095—21no—
74#17989095—21no—
75#17989059—21no—
76C4×#11924029C2211yescharacteristic
77C4×#11924029C2211yescharacteristic, complemented
78C4×D4×D73—21no—
79C4×D4×D73C2211yescharacteristic
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988974C2211yescharacteristic, complemented
83#17988969C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988942C2211yescharacteristic, complemented
89#17988941C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988902C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988895C2211yescharacteristic, complemented
97#17988894C2211yescharacteristic, complemented
98#17988888C2211yescharacteristic, complemented
99#17988887C2211yescharacteristic, complemented
100#17988870C2211yescharacteristic, complemented
101#17988868C2211yescharacteristic, complemented
102#17988867C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988837C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988827C2211yescharacteristic, complemented
111#17988825C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic
117#17988813C2211yescharacteristic
118#17988809C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988803C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988799C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988783C2211yescharacteristic
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic
135#17988781C2211yescharacteristic
136#17988780C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988779C2211yescharacteristic
141#17988779C2211yescharacteristic, complemented
142#17988748C2211yescharacteristic, complemented
143#17988746C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic
145#17988736C2211yescharacteristic
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic
158#17988719C2211yescharacteristic
159#17988719C2211yescharacteristic, complemented
160#17988718C2211yescharacteristic, complemented
161#17988700C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167C4×D584C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988657C2211yescharacteristic
173#17988657C2211yescharacteristic, complemented
174C8×D292C2211yescharacteristic, complemented
175#17988652C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988642C2211yescharacteristic, complemented
178#17988638C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C4⋊C8×D73C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988582C2211yescharacteristic, complemented
185#17988580C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#559×C73C2211yescharacteristic, complemented
189#559×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#464×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic, complemented
199#446×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202C4×D8×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924027—21no—
210C2×#11924027C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C2×D4×D73—21no—
213C2×D4×D73—21no—
214C2×D4×D73—21no—
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C2×D4×D73C2311yescharacteristic
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73—21no—
221#14556618—42no—
222#14556615—42no—
223#14556614—42no—
224#14556612—42no—
225C2×#11924018C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584C2311yescharacteristic
233C2×D584C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924013C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240D8×D73—42no—
241D8×D73—42no—
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248#14556591C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556589C2311yescharacteristic
251#14556588—21no—
252#14556588C2311yescharacteristic
253#14556587—21no—
254#14556587—21no—
255#14556587—21no—
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556584—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556583—21no—
263#14556583C2311yescharacteristic
264#14556583C2311yescharacteristic
265#14556581—21no—
266#14556580—21no—
267#14556579C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556577—21no—
271#14556577—21no—
272#14556576—21no—
273#14556576—21no—
274#14556575—21no—
275#14556575—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556571C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556567—21no—
291#14556567C2311yescharacteristic
292#14556567C2311yescharacteristic
293#14556567C2311yescharacteristic
294#14556566—21no—
295#14556566—21no—
296#14556566C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556563—21no—
313#14556563—21no—
314#14556562—21no—
315#14556562—21no—
316#14556562C2311yescharacteristic
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556562C2311yescharacteristic
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556559—21no—
329#14556559—21no—
330Q8×Dic73D411yescharacteristic
331Q8×Dic73C2311yescharacteristic
332C4×Dic146—21no—
333C4×Dic146C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292—21no—
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345D4×Dic73—21no—
346D4×Dic73—21no—
347D4×Dic73C2311yescharacteristic
348D4×Dic73C2311yescharacteristic
349#14556553—21no—
350#14556553—21no—
351#14556553D411yescharacteristic
352#14556553D411yescharacteristic
353#14556553D411yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556549—21no—
370#14556549D411yescharacteristic
371#14556549D411yescharacteristic
372#14556549D411yescharacteristic
373#14556549C2311yescharacteristic
374#14556548—21no—
375#14556547—21no—
376#14556547—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73C2311yescharacteristic
379C4⋊C4×D73C2311yescharacteristic
380C2×#11924005—21no—
381C2×#11924005—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C42×D73—21no—
389C42×D73C2311yescharacteristic
390C42×D73C2311yescharacteristic
391C42×D73C2311yescharacteristic
392#14556525C2311yescharacteristic
393#14556525C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399C4⋊#10596831C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556502C2311yescharacteristic
439#14556502C2311yescharacteristic
440C4×#10596831C2311yescharacteristic
441C2×Q16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450#127×C73C2311yescharacteristic
451#127×C73C2311yescharacteristic
452#124×C73—21no—
453#124×C73—21no—
454#124×C73C2311yescharacteristic
455#124×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460#123×C73—21no—
461#123×C73—21no—
462C4×Q8×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×Q8×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73—21no—
467C4×D4×C73C2311yescharacteristic
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482#97×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—22no—
489#11924029—42no—
490#11924029—41no—
491#11924029—41no—
492#11924029—41no—
493#11924029—41no—
494#11924029—41no—
495#11924028—82no—
496#11924028—82no—
497#11924027—41no—
498#11924027—41no—
499#11924027—41no—
500#11924027—41no—
501#11924027—82no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146C2411yescharacteristic
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2×D411yescharacteristic
514C2×D292C2×D411yescharacteristic
515C2×D292C2411yescharacteristic
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⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534D4×D73—22no—
535D4×D73—22no—
536D4×D73—41no—
537D4×D73—41no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—41no—
541D4×D73—41no—
542D4×D73—44no—
543D4×D73—44no—
544D4×D73—82no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—82no—
561C2×C4×D73—82no—
562C2×C4×D73C2×D411yescharacteristic
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2411yescharacteristic
569C2×C4×D73C2411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571#11924018—41no—
572#11924017—22no—
573#11924016—41no—
574#11924016—41no—
575#11924015—22no—
576#11924015—41no—
577#11924015—41no—
578D584—22no—
579D584—22no—
580#11924013—22no—
581#11924013—22no—
582#11924013—41no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924011—41no—
587#11924011—41no—
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C8×D73—41no—
593C8×D73—41no—
594C8×D73—41no—
595C8×D73—41no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2×D411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647#11924005C2×D411yescharacteristic
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650C4×Dic73—21no—
651C4×Dic73—21no—
652C4×Dic73—21no—
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2×D411yescharacteristic
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C2×Q8×C73C2×D411yescharacteristic
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675Q16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678SD16×C73—41no—
679SD16×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2×D411yescharacteristic
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C42×C73—21no—
708C42×C73—21no—
709C42×C73C2411yescharacteristic
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—42no—
721C22×D73—42no—
722C22×D73—42no—
723C22×D73—42no—
724C22×D73—42no—
725C22×D73—81no—
726C22×D73—81no—
727C22×D73—81no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73C22×D411yescharacteristic
732C22×D73C22×D411yescharacteristic
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736Q8×C73—21no—
737Q8×C73—21no—
738Q8×C73—41no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—42no—
748D4×C73—42no—
749D4×C73—81no—
750D4×C73—81no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—81no—
756C2×C4×C73—81no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73C22×D411yescharacteristic
760C2×C4×C73C22×D411yescharacteristic
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C2511yescharacteristic
766C22⋊D73—42no—
767C22⋊D73—42no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C2×Dic73—21no—
783C2×Dic73—21no—
784C2×Dic73—21no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—42no—
788C2×Dic73—42no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796D292—22no—
797D292—22no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—41no—
804D292—42no—
805D292—42no—
806D292—81no—
807D292—81no—
808D292—81no—
809D292—81no—
810D292—81no—
811D292H(5,𝔽2)12yes—
812C4×D73—22no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—21no—
817C4×D73—21no—
818C4×D73—21no—
819C4×D73—22no—
820C4×D73—22no—
821C4×D73—22no—
822C4×D73—41no—
823C4×D73—41no—
824C4×D73—42no—
825C4×D73—42no—
826C4×D73—42no—
827C4×D73—81no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834C4×D73—81no—
835Dic146—21no—
836Dic146—21no—
837Dic146—42no—
838Dic146—81no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—41no—
848C22×C73—41no—
849C22×C73—41no—
850C22×C73—41no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73C23×D411yescharacteristic
860C2×D73—21no—
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—22no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—41no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—84no—
878C2×D73—84no—
879C2×D73—162no—
880C2×D73—162no—
881C2×D73#57512yes—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—21no—
887C4×C73—21no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73—41no—
891C4×C73—41no—
892C4×C73C2×H(5,𝔽2)11yescharacteristic
893C4×C73#58511yescharacteristic
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—21no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73#57612yes—
904#61977—731nomaximal, Sylow
905C2×C73—81no—
906C2×C73—81no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73#348811yescharacteristic
910C2×C73C2×#57511yescharacteristic
911C2×C73C2×#57611yescharacteristic
912D73—22no—
913D73—41no—
914D73—41no—
915D73—42no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3403—731no—
921#3403D7311yescharacteristic, complemented
922#3370—731no—
923#3370—731no—
924#3314—731no—
925#3314—731no—
926#3309—731no—
927#3309—731no—
928#3297—731no—
929#3297—731no—
930#3280—731no—
931#3280—731no—
932#3268—731no—
933#3268—731no—
934#3264—731no—
935#3264—731no—
936#3251—731no—
937#3248—731no—
938#3245—731no—
939#3217—731no—
940#3214—731no—
941#3212—731no—
942#3115—731no—
943#3110—731no—
944#3100—731no—
945#3036—731no—
946#3035—731no—
947C2×#459—731no—
948#2990—731no—
949C73#6197711yescharacteristic, complemented, Sylow
950C2×AGL(1,ℤ/8)—731no—
951C2×AGL(1,ℤ/8)—731no—
952C2×#135—731no—
953C2×#135—731no—
954C22×D8—731no—
955C22×D8—731no—
956#559—731no—
957#559—1461no—
958#559C2×D7311yescharacteristic, complemented
959#559C2×D7311yescharacteristic, complemented
960#554—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#553—1461no—
965#551—1461no—
966#551—1461no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—731no—
974#546—731no—
975#546—731no—
976#546—1461no—
977#546—1461no—
978#546—1461no—
979D42—731no—
980#540—1461no—
981#540—1461no—
982#535—1461no—
983#533—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989C2×#127—731no—
990#529—731no—
991#529—731no—
992#529—1461no—
993#525—1461no—
994#525—1461no—
995#518—1461no—
996C4×#41—731no—
997C4×#41—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—1461no—
1001#496—731no—
1002#496—731no—
1003#496C2×D7311yescharacteristic, complemented
1004#496C2×D7311yescharacteristic, complemented
1005#495—731no—
1006#495C2×D7311yescharacteristic, complemented
1007#490—731no—
1008#490—731no—
1009#489—731no—
1010#489—731no—
1011#488—731no—
1012#488—731no—
1013#484—731no—
1014#484—731no—
1015#482—731no—
1016#482—731no—
1017#480—731no—
1018#480—731no—
1019#479—731no—
1020#479—731no—
1021#478—731no—
1022#478—731no—
1023#475—731no—
1024#474—731no—
1025#474—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#469—731no—
1030#469—731no—
1031#468—731no—
1032#468—731no—
1033#467—731no—
1034#467—731no—
1035#466—731no—
1036#466—731no—
1037#466—731no—
1038#466—731no—
1039#465—731no—
1040#465—731no—
1041#464—731no—
1042#464—731no—
1043#464C2×D7311yescharacteristic, complemented
1044#464C2×D7311yescharacteristic, complemented
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463C2×D7311yescharacteristic, complemented
1052#463C2×D7311yescharacteristic, complemented
1053#462—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#460—731no—
1058#460—731no—
1059#459—731no—
1060#459—731no—
1061#459—731no—
1062#459—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459C2×D7311yescharacteristic, complemented
1070#459C2×D7311yescharacteristic, complemented
1071#452—731no—
1072#452—731no—
1073#450—731no—
1074#450—731no—
1075#450—731no—
1076#450—731no—
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#449—731no—
1082#449—731no—
1083#449—731no—
1084#449—731no—
1085#447—731no—
1086#447—731no—
1087#447—731no—
1088#447—731no—
1089#446—731no—
1090#446C2×D7311yescharacteristic, complemented
1091#442—731no—
1092#442—731no—
1093#440—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440C2×D7311yescharacteristic, complemented
1098#440C2×D7311yescharacteristic, complemented
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8C2×D7311yescharacteristic, complemented
1103#435—731no—
1104#435—731no—
1105#435—731no—
1106#435—731no—
1107C8×D4—731no—
1108C8×D4—731no—
1109#432—731no—
1110#432—731no—
1111#431—731no—
1112#423—731no—
1113C2×C4⋊C8—731no—
1114C2×C4⋊C8—731no—
1115#417—731no—
1116#417—731no—
1117#416—731no—
1118#416—731no—
1119C2×#102—731no—
1120C2×#102—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—731no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—731no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4—1461no—
1137C23×C4—1461no—
1138C23×C4—1461no—
1139AGL(1,ℤ/8)—2922no—
1140AGL(1,ℤ/8)—2922no—
1141#135—2922no—
1142#135—2922no—
1143C2×Q16—731no—
1144C2×Q16C22×D7311yescharacteristic
1145C2×SD16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16C22×D7311yescharacteristic
1152C2×SD16C22×D7311yescharacteristic
1153C2×SD16C22×D7311yescharacteristic
1154C2×SD16C22×D7311yescharacteristic
1155C2×D8—2922no—
1156C2×D8—2922no—
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8—731no—
1164C2×D8—731no—
1165C2×D8C22×D7311yescharacteristic
1166C2×D8C22×D7311yescharacteristic
1167C2×D8C22×D7311yescharacteristic
1168C2×D8C22×D7311yescharacteristic
1169C2×M16—731no—
1170C2×M16—731no—
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8—731no—
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8—731no—
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—1461no—
1182#127—1461no—
1183#127—1461no—
1184#127—1461no—
1185#127C22×D7311yescharacteristic
1186#127C22×D7311yescharacteristic
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—731no—
1192#125—731no—
1193#125—1461no—
1194#125—1461no—
1195#124—21no—
1196#124—21no—
1197#124—731no—
1198#124—731no—
1199#124—1461no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124C22×D7311yescharacteristic
1204#124C22×D7311yescharacteristic
1205#124C22×D7311yescharacteristic
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—731no—
1226C22⋊Q8—731no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8—1461no—
1232C22⋊Q8—1461no—
1233#121—731no—
1234#121—731no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#120—1461no—
1262#120—1461no—
1263#120—1461no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—1461no—
1273C4×Q8C22×D7311yescharacteristic
1274C4×Q8C22×D7311yescharacteristic
1275C4×Q8C22×D7311yescharacteristic
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—731no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4C22×D7311yescharacteristic
1314C4×D4C22×D7311yescharacteristic
1315C4×D4C22×D7311yescharacteristic
1316C4×D4C22×D7311yescharacteristic
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—731no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117—1461no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—1461no—
1329C2×C22⋊C4—1461no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C42—731no—
1337C2×C42—731no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#107C22×D7311yescharacteristic
1346#106—731no—
1347#106—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8C22×D7311yescharacteristic
1356C4⋊C8C22×D7311yescharacteristic
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8—731no—
1395C22⋊C8—731no—
1396#97—731no—
1397#97—731no—
1398#97C22×D7311yescharacteristic
1399#97C22×D7311yescharacteristic
1400C4×C8—731no—
1401C4×C8C22×D7311yescharacteristic
1402C24—1461no—
1403C24—1461no—
1404C24—1461no—
1405C24—1461no—
1406#41—2921no—
1407#41—2922no—
1408#41—2921no—
1409#41—2921no—
1410#41—2921no—
1411#41—2921no—
1412#41—2921no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—5842no—
1417#41—5842no—
1418#41—5842no—
1419#41—1462no—
1420C2×Q8—731no—
1421C2×Q8—1461no—
1422C2×Q8—1461no—
1423C2×Q8D4×D7311yescharacteristic
1424C2×Q8C23×D7311yescharacteristic
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—2924no—
1431C2×D4—2921no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2921no—
1436C2×D4—2921no—
1437C2×D4—2924no—
1438C2×D4—5842no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—1461no—
1446C2×D4—1461no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1462no—
1459C2×D4—1462no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4C23×D7311yescharacteristic
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C2×D4C23×D7311yescharacteristic
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—5842no—
1479C22×C4—5842no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—731no—
1488C22×C4—731no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504Q16—41no—
1505Q16—2921no—
1506SD16—41no—
1507SD16—41no—
1508SD16—41no—
1509SD16—41no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—1462no—
1515SD16—1462no—
1516D8—41no—
1517D8—41no—
1518D8—41no—
1519D8—41no—
1520D8—2921no—
1521D8—2921no—
1522D8—2921no—
1523D8—2921no—
1524D8—1462no—
1525D8—1462no—
1526D8—1462no—
1527D8—1462no—
1528M16—2921no—
1529M16—2921no—
1530C2×C8—2921no—
1531C2×C8—2921no—
1532C2×C8—2921no—
1533C2×C8—2921no—
1534C2×C8—731no—
1535C2×C8—731no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8C23×D7311yescharacteristic
1539C2×C8C23×D7311yescharacteristic
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4D4×D7311yescharacteristic
1568C4⋊C4D4×D7311yescharacteristic
1569C4⋊C4D4×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—21no—
1583C22⋊C4—21no—
1584C22⋊C4—731no—
1585C22⋊C4—731no—
1586C22⋊C4—731no—
1587C22⋊C4—731no—
1588C22⋊C4—731no—
1589C22⋊C4—731no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C42—21no—
1616C42—21no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—731no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42C23×D7311yescharacteristic
1628C42C23×D7311yescharacteristic
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—2922no—
1635C23—2922no—
1636C23—2922no—
1637C23—2922no—
1638C23—2922no—
1639C23—2922no—
1640C23—5841no—
1641C23—5841no—
1642C23—5841no—
1643C23—5841no—
1644C23—5841no—
1645C23—5841no—
1646C23—731no—
1647C23—731no—
1648C23—731no—
1649C23—1461no—
1650C23—1461no—
1651C23—1461no—
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—41no—
1657Q8—2922no—
1658Q8—5841no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—21no—
1668D4—21no—
1669D4—42no—
1670D4—42no—
1671D4—81no—
1672D4—81no—
1673D4—2922no—
1674D4—2921no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—2922no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—732no—
1698D4—1462no—
1699D4—1462no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—81no—
1710C2×C4—81no—
1711C2×C4—81no—
1712C2×C4—81no—
1713C2×C4—2922no—
1714C2×C4—2921no—
1715C2×C4—2921no—
1716C2×C4—2922no—
1717C2×C4—2922no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—5841no—
1721C2×C4—5841no—
1722C2×C4—5841no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—731no—
1731C2×C4—731no—
1732C2×C4—731no—
1733C2×C4—731no—
1734C2×C4—731no—
1735C2×C4—1462no—
1736C2×C4—1462no—
1737C2×C4—1462no—
1738C2×C4—1462no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1461no—
1748C2×C4—1461no—
1749C2×C4—1461no—
1750C2×C4C2×D4×D7311yescharacteristic
1751C2×C4C2×D4×D7311yescharacteristic
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C2×D4×D7311yescharacteristic
1755C2×C4C2×D4×D7311yescharacteristic
1756C2×C4C24×D7311yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—1461no—
1762C8—1461no—
1763C8—1461no—
1764C8—1461no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—5844no—
1786C22—5844no—
1787C22—732no—
1788C22—11682no—
1789C22—11682no—
1790C22—1462no—
1791C22—1461no—
1792C22—1461no—
1793C22—1461no—
1794C22—1461no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—2921no—
1811C4—2921no—
1812C4—2921no—
1813C4—2921no—
1814C4—2921no—
1815C4—732no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4H(5,𝔽2)×D7311yescharacteristic
1821C4#1798942311yescharacteristic
1822C2—81no—
1823C2—81no—
1824C2—81no—
1825C2—81no—
1826C2—2922no—
1827C2—2921no—
1828C2—2921no—
1829C2—5841no—
1830C2—5841no—
1831C2—1462no—
1832C2#2262359911yescharacteristic
1833C2#575×D7311yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3403C2
socleC22×C73C23×D4
hypercenter#3403D73
hypocenterC73#61977
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3403

Complements

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

NH ≅ G/Ntype
1. #22623804C2semidirect
2. #22623540C2semidirect
3. #22623015C2semidirect
4. #22622686C2semidirect
5. #22622678C2semidirect
6. #22622019C2semidirect
7. #22622017C2semidirect
8. #22621944C2semidirect
9. #22621942C2semidirect
10. #22621788C2semidirect
11. #22621786C2semidirect
12. #22621615C2semidirect
13. #22621611C2semidirect
14. #22621470C2semidirect
15. #22621466C2semidirect
16. #22621410C2semidirect
17. #22621406C2semidirect
18. #22621290C2semidirect
19. #22621265C2semidirect
20. #22621239C2semidirect
21. #22620945C2semidirect
22. #22620921C2semidirect
23. #22620902C2semidirect
24. #22620080C2semidirect
25. #22620028C2semidirect
26. #22619929C2semidirect
27. #22619393C2semidirect
28. #22619385C2semidirect
29. #459×D73C2semidirect
30. #22619055C2semidirect
31. C73×#3403C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556615C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556612C22semidirect
38. #17989322C22semidirect
41. #17989297C22semidirect
44. #17989287C22semidirect
47. #17989259C22semidirect
49. #17989257C22semidirect
51. #17989232C22semidirect
55. #17989230C22semidirect
56. #17989230C22semidirect
63. #17989141C22semidirect
64. #17989136C22semidirect
65. #17989136C22semidirect
66. #17989135C22semidirect
67. #17989134C22semidirect
68. #17989134C22semidirect
69. #127×D73C22semidirect
72. #17989116C22semidirect
77. C4×#11924029C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988974C22semidirect
83. #17988969C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988942C22semidirect
89. #17988941C22semidirect
90. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988914C22semidirect
93. #17988910C22semidirect
94. #17988902C22semidirect
95. #17988899C22semidirect
96. #17988895C22semidirect
97. #17988894C22semidirect
98. #17988888C22semidirect
99. #17988887C22semidirect
100. #17988870C22semidirect
101. #17988868C22semidirect
102. #17988867C22semidirect
103. #17988866C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
106. #17988839C22semidirect
107. #17988837C22semidirect
108. #17988836C22semidirect
109. #17988830C22semidirect
110. #17988827C22semidirect
111. #17988825C22semidirect
112. #17988822C22semidirect
113. #17988822C22semidirect
114. #17988820C22semidirect
115. #17988820C22semidirect
118. #17988809C22semidirect
119. #17988806C22semidirect
120. #17988803C22semidirect
121. #17988803C22semidirect
122. #17988802C22semidirect
123. #17988799C22semidirect
124. #17988799C22semidirect
125. #17988799C22semidirect
126. #17988795C22semidirect
127. #17988791C22semidirect
128. #17988790C22semidirect
129. #17988790C22semidirect
130. #17988785C22semidirect
131. #17988785C22semidirect
133. #17988782C22semidirect
136. #17988780C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
141. #17988779C22semidirect
142. #17988748C22semidirect
143. #17988746C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988735C22semidirect
149. #17988731C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988722C22semidirect
159. #17988719C22semidirect
160. #17988718C22semidirect
161. #17988700C22semidirect
162. #17988697C22semidirect
163. #17988689C22semidirect
164. #17988687C22semidirect
165. #17988685C22semidirect
166. #17988685C22semidirect
167. C4×D584C22semidirect
168. C4×#11924013C22semidirect
169. C4×#11924013C22semidirect
171. #17988660C22semidirect
173. #17988657C22semidirect
174. C8×D292C22semidirect
175. #17988652C22semidirect
176. #17988642C22semidirect
177. #17988642C22semidirect
178. #17988638C22semidirect
179. #17988609C22semidirect
180. C4⋊C8×D73C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. #17988582C22semidirect
185. #17988580C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. #559×C73C22semidirect
189. #559×C73C22semidirect
190. #496×C73C22semidirect
191. #496×C73C22semidirect
192. #495×C73C22semidirect
193. #464×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #459×C73C22semidirect
198. #459×C73C22semidirect
199. #446×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. C4×D8×C73C22semidirect
921. #3403D73semidirect
949. C73#61977semidirect
958. #559C2×D73semidirect
959. #559C2×D73semidirect
1003. #496C2×D73semidirect
1004. #496C2×D73semidirect
1006. #495C2×D73semidirect
1043. #464C2×D73semidirect
1044. #464C2×D73semidirect
1051. #463C2×D73semidirect
1052. #463C2×D73semidirect
1069. #459C2×D73semidirect
1070. #459C2×D73semidirect
1090. #446C2×D73semidirect
1097. #440C2×D73semidirect
1098. #440C2×D73semidirect
1102. C4×D8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238042
#226235402
#226230152
#226226862
#226226782
#226220192
#226220172
#226219442
#226219422
#226217882
#226217862
#226216152
#226216112
#226214702
#226214662
#226214102
#226214062
#226212902
#226212652
#226212392
#226209452
#226209212
#226209022
#226200802
#226200282
#226199292
#226193932
#226193852
#459×D732
#226190552
C73×#34032
#6197773