Finite Group Databasebeta

← #33978674

Subgroups — #33978674

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#22623799C211yesmaximal, characteristic, complemented
2#22623542C211yesmaximal, characteristic, complemented
3#22623020C211yesmaximal, characteristic, complemented
4#22623018C211yesmaximal, characteristic, complemented
5#22622691C211yesmaximal, characteristic, complemented
6#22622683C211yesmaximal, characteristic, complemented
7#22622006C211yesmaximal, characteristic, complemented
8#22621940C211yesmaximal, characteristic, complemented
9#22621938C211yesmaximal, characteristic, complemented
10#22621779C211yesmaximal, characteristic, complemented
11#22621777C211yesmaximal, characteristic, complemented
12#22621613C211yesmaximal, characteristic, complemented
13#22621609C211yesmaximal, characteristic, complemented
14#22621478C211yesmaximal, characteristic, complemented
15#22621474C211yesmaximal, characteristic, complemented
16#22621416C211yesmaximal, characteristic, complemented
17#22621412C211yesmaximal, characteristic, complemented
18#22621288C211yesmaximal, characteristic, complemented
19#22621263C211yesmaximal, characteristic, complemented
20#22621240C211yesmaximal, characteristic, complemented
21#22620952C211yesmaximal, characteristic, complemented
22#22620927C211yesmaximal, characteristic, complemented
23#22620910C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620027C211yesmaximal, characteristic, complemented
26#22619928C211yesmaximal, characteristic, complemented
27#22619394C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29C2×#17988781C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3314C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic, complemented
33C2×#14556616C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C22×D584C2211yescharacteristic
37C22×#11924013C2211yescharacteristic
38#17989322C2211yescharacteristic, complemented
39#17989321—21no—
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989298C2211yescharacteristic, complemented
43#17989290—21no—
44#17989285C2211yescharacteristic
45#17989285C2211yescharacteristic, complemented
46#17989264—21no—
47#17989264—21no—
48#17989256C2211yescharacteristic, complemented
49#17989255—21no—
50#17989255C2211yescharacteristic, complemented
51#17989233C2211yescharacteristic
52#17989232—21no—
53#17989231C2211yescharacteristic, complemented
54#17989228C2211yescharacteristic
55#17989228C2211yescharacteristic, complemented
56#17989228C2211yescharacteristic, complemented
57#17989227—21no—
58#17989224—21no—
59D4×D292C2211yescharacteristic
60#17989189—21no—
61#17989187—21no—
62#17989152—21no—
63#17989139C2211yescharacteristic, complemented
64#17989138C2211yescharacteristic, complemented
65#17989136C2211yescharacteristic, complemented
66#17989134C2211yescharacteristic, complemented
67#17989133C2211yescharacteristic, complemented
68#17989132C2211yescharacteristic, complemented
69C2×#14556587C2211yescharacteristic, complemented
70#17989123C2211yescharacteristic
71#17989123C2211yescharacteristic, complemented
72#17989122—21no—
73#17989100—21no—
74#17989100—21no—
75#17989060—21no—
76C4×#11924029C2211yescharacteristic, complemented
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic
79C2×#14556553C2211yescharacteristic, complemented
80C4×D4×D73—21no—
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988973C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988972C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988950C2211yescharacteristic, complemented
89#17988949C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988900C2211yescharacteristic, complemented
96#17988893C2211yescharacteristic, complemented
97#17988892C2211yescharacteristic, complemented
98#17988890C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988870C2211yescharacteristic, complemented
101#17988866C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988864C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988838C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988826C2211yescharacteristic, complemented
109#17988824C2211yescharacteristic, complemented
110#17988824C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic
114#17988816C2211yescharacteristic
115#17988812C2211yescharacteristic, complemented
116#17988811C2211yescharacteristic, complemented
117#17988809C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988791C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988783C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic
135#17988781C2211yescharacteristic
136#17988781C2211yescharacteristic
137#17988781C2211yescharacteristic
138#17988781C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988781C2211yescharacteristic, complemented
142#17988781C2211yescharacteristic, complemented
143#17988781C2211yescharacteristic, complemented
144#17988747C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic
146#17988737C2211yescharacteristic
147#17988737C2211yescharacteristic, complemented
148#17988735C2211yescharacteristic, complemented
149#17988735C2211yescharacteristic, complemented
150#17988735C2211yescharacteristic, complemented
151#17988734C2211yescharacteristic, complemented
152#17988733C2211yescharacteristic, complemented
153#17988733C2211yescharacteristic, complemented
154#17988732C2211yescharacteristic, complemented
155#17988731C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic
157#17988723C2211yescharacteristic, complemented
158#17988721C2211yescharacteristic
159#17988720C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988690C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988686C2211yescharacteristic, complemented
168#17988685C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988669C2211yescharacteristic, complemented
171#17988667C2211yescharacteristic, complemented
172#17988667C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#474×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#467×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924027—21no—
209C2×#11924027D411yescharacteristic
210C2×#11924027C2311yescharacteristic
211C22×D292C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C2×D4×D73—21no—
217C22×C4×D73—21no—
218C22×C4×D73—21no—
219#14556619—42no—
220#14556616—42no—
221#14556614—42no—
222#14556612—42no—
223C2×#11924018C2311yescharacteristic
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924017C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232C2×D584—42no—
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×D584C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×D584C2311yescharacteristic
239C2×#11924013—42no—
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924012C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556588C2311yescharacteristic
253#14556587—21no—
254#14556587—21no—
255#14556587—21no—
256#14556587—21no—
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556587C2311yescharacteristic
261#14556586—21no—
262#14556586—21no—
263#14556586—21no—
264#14556586—21no—
265#14556582C2311yescharacteristic
266#14556582C2311yescharacteristic
267#14556581—21no—
268#14556580—21no—
269#14556580C2311yescharacteristic
270#14556580C2311yescharacteristic
271#14556580C2311yescharacteristic
272#14556579—21no—
273#14556579C2311yescharacteristic
274#14556578C2311yescharacteristic
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556574—21no—
291#14556573—21no—
292#14556573—21no—
293#14556572—21no—
294#14556571—21no—
295#14556570C2311yescharacteristic
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566—21no—
302#14556566—21no—
303#14556566—21no—
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562C2311yescharacteristic
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329#14556561—21no—
330#14556560—21no—
331#14556559—21no—
332Q8×Dic73C2311yescharacteristic
333Q8×Dic73C2311yescharacteristic
334C4×Dic146C2311yescharacteristic
335#14556556—21no—
336#14556556D411yescharacteristic
337#14556556C2311yescharacteristic
338C4×D292—21no—
339C4×D292—21no—
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73D411yescharacteristic
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553—21no—
347#14556553—21no—
348#14556553—21no—
349#14556553—21no—
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73C2311yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551D411yescharacteristic
375#14556551D411yescharacteristic
376#14556549—21no—
377#14556549—21no—
378#14556549—21no—
379#14556549D411yescharacteristic
380#14556549C2311yescharacteristic
381#14556547—21no—
382#14556547D411yescharacteristic
383#14556547D411yescharacteristic
384C4⋊C4×D73—21no—
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C2×C4×Dic73C2311yescharacteristic
393C2×C4×Dic73C2311yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#125×C73—21no—
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452C22⋊Q8×C73—21no—
453C22⋊Q8×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×Q8×C73C2311yescharacteristic
461C4×D4×C73—21no—
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924029—22no—
488#11924029—41no—
489#11924029—41no—
490#11924029—41no—
491#11924029—82no—
492#11924028—41no—
493#11924028—41no—
494#11924028—82no—
495#11924027—41no—
496#11924027—41no—
497#11924027—42no—
498#11924027—82no—
499C2×Dic146—21no—
500C2×Dic146C2×D411yescharacteristic
501C2×Dic146C2411yescharacteristic
502C2×D292—22no—
503C2×D292—22no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—41no—
515C2×D292—41no—
516C2×D292—41no—
517C2×D292—41no—
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×D292C2411yescharacteristic
521C2×D292C2411yescharacteristic
522C2×D292C2411yescharacteristic
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—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—44no—
538C2×C22⋊D73—82no—
539C2×C22⋊D73C2×D411yescharacteristic
540C2×C22⋊D73C2×D411yescharacteristic
541D4×D73—44no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C22×Dic73C2×D411yescharacteristic
547C22×Dic73C2×D411yescharacteristic
548C2×C4×D73—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—21no—
561C2×C4×D73—82no—
562C2×C4×D73—82no—
563C2×C4×D73C2×D411yescharacteristic
564C2×C4×D73C2×D411yescharacteristic
565C2×C4×D73C2411yescharacteristic
566#11924018—41no—
567#11924017—22no—
568#11924017—41no—
569#11924017—41no—
570#11924015—22no—
571#11924015—41no—
572#11924015—41no—
573#11924015—41no—
574#11924015—41no—
575D584—22no—
576D584—22no—
577D584—41no—
578D584—41no—
579D584—41no—
580D584—41no—
581#11924013—22no—
582#11924013—22no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924013—41no—
587#11924012—41no—
588C2×#10596831—41no—
589C2×#10596831C2411yescharacteristic
590C2×#10596831C2411yescharacteristic
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C8×D73—41no—
594C8×D73—41no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73C2×D411yescharacteristic
619C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005C2×D411yescharacteristic
646#11924005C2×D411yescharacteristic
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2411yescharacteristic
658C4×Dic73C2411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C24×C73—21no—
661#41×C73—41no—
662#41×C73—41no—
663C2×Q8×C73—21no—
664C2×Q8×C73C2411yescharacteristic
665C2×Q8×C73C2411yescharacteristic
666C2×D4×C73—21no—
667C2×D4×C73—21no—
668C2×D4×C73—21no—
669C2×D4×C73—41no—
670C2×D4×C73—41no—
671C2×D4×C73C2×D411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73C2411yescharacteristic
679C22×C4×C73C2411yescharacteristic
680Q16×C73—41no—
681SD16×C73—41no—
682SD16×C73—41no—
683M16×C73—41no—
684C2×C8×C73—41no—
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73—21no—
694C4⋊C4×C73—21no—
695C4⋊C4×C73—21no—
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73C2×D411yescharacteristic
709C22⋊C4×C73C2×D411yescharacteristic
710C42×C73—21no—
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—42no—
715C23×C73—81no—
716C23×C73—81no—
717C23×C73C22×D411yescharacteristic
718C23×C73C22×D411yescharacteristic
719C22×D73—21no—
720C22×D73—21no—
721C22×D73—21no—
722C22×D73—21no—
723C22×D73—21no—
724C22×D73—42no—
725C22×D73—42no—
726C22×D73—42no—
727C22×D73—42no—
728C22×D73—42no—
729C22×D73—81no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736Q8×C73—21no—
737Q8×C73—21no—
738Q8×C73—81no—
739D4×C73—22no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—81no—
745D4×C73—81no—
746D4×C73—81no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—81no—
758C2×C4×C73—81no—
759C2×C4×C73—81no—
760C2×C4×C73—81no—
761C2×C4×C73C22×D411yescharacteristic
762C2×C4×C73C22×D411yescharacteristic
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C2511yescharacteristic
766C22⋊D73—22no—
767C22⋊D73—41no—
768C22⋊D73—42no—
769C22⋊D73—42no—
770C22⋊D73—42no—
771C22⋊D73—42no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—81no—
777C22⋊D73—81no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C2×Dic73—22no—
783C2×Dic73—22no—
784C2×Dic73—22no—
785C2×Dic73—21no—
786C2×Dic73—21no—
787C2×Dic73—21no—
788C2×Dic73—41no—
789C2×Dic73—81no—
790C2×Dic73—81no—
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797C2×Dic73C22×D411yescharacteristic
798D292—21no—
799D292—21no—
800D292—21no—
801D292—21no—
802D292—21no—
803D292—21no—
804D292—21no—
805D292—21no—
806D292—21no—
807D292—42no—
808D292—42no—
809D292—42no—
810D292—42no—
811D292—81no—
812D292—81no—
813D292—81no—
814D292—81no—
815D292—81no—
816D292—81no—
817D292H(5,𝔽2)12yes—
818C4×D73—21no—
819C4×D73—21no—
820C4×D73—22no—
821C4×D73—41no—
822C4×D73—42no—
823C4×D73—42no—
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—41no—
838Dic146—42no—
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—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—21no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—162no—
859C22×C73#57512yes—
860C22×C73C23×D411yescharacteristic
861C2×D73—21no—
862C2×D73—22no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—41no—
866C2×D73—41no—
867C2×D73—41no—
868C2×D73—41no—
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—41no—
878C2×D73—41no—
879C2×D73—84no—
880C2×D73—84no—
881C2×D73—162no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
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—21no—
899Dic73—21no—
900Dic73—41no—
901Dic73—41no—
902Dic73—41no—
903Dic73#57612yes—
904#61977—731nomaximal, Sylow
905C2×C73—22no—
906C2×C73—41no—
907C2×C73—81no—
908C2×C73—81no—
909C2×C73#348811yescharacteristic
910C2×C73C2×#57511yescharacteristic
911C2×C73C2×#57611yescharacteristic
912D73—41no—
913D73—42no—
914D73—81no—
915D73—81no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3403—731no—
921#3403—731no—
922#3370—731no—
923#3370—731no—
924#3314—731no—
925#3314D7311yescharacteristic, complemented
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—731no—
958#559—731no—
959#559—1461no—
960#554—731no—
961#554C2×D7311yescharacteristic
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—1461no—
976#546—1461no—
977#546—1461no—
978#546C2×D7311yescharacteristic
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#496—731no—
1004#496—731no—
1005#495—731no—
1006#495—731no—
1007#490—731no—
1008#490—731no—
1009#489—731no—
1010#489C2×D7311yescharacteristic, complemented
1011#488—731no—
1012#488—731no—
1013#484—731no—
1014#484C2×D7311yescharacteristic, complemented
1015#482—731no—
1016#482—731no—
1017#480—731no—
1018#480C2×D7311yescharacteristic, complemented
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#474C2×D7311yescharacteristic, complemented
1029#469—731no—
1030#469—731no—
1031#468—731no—
1032#468C2×D7311yescharacteristic, complemented
1033#467—731no—
1034#467C2×D7311yescharacteristic, complemented
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#464—731no—
1044#464C2×D7311yescharacteristic, complemented
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463—731no—
1052#463—731no—
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#459—731no—
1070#459—731no—
1071#452—731no—
1072#452C2×D7311yescharacteristic, complemented
1073#450—731no—
1074#450—731no—
1075#450—731no—
1076#450C2×D7311yescharacteristic, complemented
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#446—731no—
1091#442—731no—
1092#442—731no—
1093#440—731no—
1094#440—731no—
1095#440—731no—
1096#440—731no—
1097#440—731no—
1098#440C2×D7311yescharacteristic, complemented
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8—731no—
1103#435—731no—
1104#435—731no—
1105#435—731no—
1106#435C2×D7311yescharacteristic
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#417C2×D7311yescharacteristic, complemented
1117#416—731no—
1118#416—731no—
1119C2×#102—731no—
1120C2×#102C2×D7311yescharacteristic, complemented
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—731no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41C22×D7311yescharacteristic
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—731no—
1133C22×D4—1461no—
1134C22×D4—1461no—
1135C22×D4—1461no—
1136C22×D4C22×D7311yescharacteristic
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×SD16—731no—
1152C2×SD16—731no—
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×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×M16—731no—
1170C2×M16C22×D7311yescharacteristic
1171C22×C8—731no—
1172C22×C8—731no—
1173C22×C8—731no—
1174C22×C8C22×D7311yescharacteristic
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8C22×D7311yescharacteristic
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—731no—
1182#127—731no—
1183#127—1461no—
1184#127—1461no—
1185#127—1461no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—21no—
1192#125—731no—
1193#125—731no—
1194#125—1461no—
1195#124—731no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—731no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124—1461no—
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
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—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—731no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8C22×D7311yescharacteristic
1231C22⋊Q8C22×D7311yescharacteristic
1232C22⋊Q8C22×D7311yescharacteristic
1233#121—21no—
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#121C22×D7311yescharacteristic
1261#120—21no—
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—731no—
1273C4×Q8—731no—
1274C4×Q8—1461no—
1275C4×Q8C22×D7311yescharacteristic
1276C4×D4—21no—
1277C4×D4—731no—
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—731no—
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×D4—1461no—
1314C4×D4—1461no—
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—1461no—
1326C2×C4⋊C4C22×D7311yescharacteristic
1327C2×C4⋊C4C22×D7311yescharacteristic
1328C2×C22⋊C4—21no—
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#107C22×D7311yescharacteristic
1344#107C22×D7311yescharacteristic
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⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103C22×D7311yescharacteristic
1365#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
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⋊C8C22×D7311yescharacteristic
1395C22⋊C8C22×D7311yescharacteristic
1396#97—731no—
1397#97—731no—
1398#97—731no—
1399#97C22×D7311yescharacteristic
1400C4×C8—731no—
1401C4×C8—731no—
1402C24—21no—
1403C24—1461no—
1404C24—1461no—
1405C24—1461no—
1406#41—41no—
1407#41—41no—
1408#41—2921no—
1409#41—2921no—
1410#41—2922no—
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—21no—
1421C2×Q8—731no—
1422C2×Q8—731no—
1423C2×Q8—1461no—
1424C2×Q8C23×D7311yescharacteristic
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—21no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—2921no—
1432C2×D4—2921no—
1433C2×D4—2921no—
1434C2×D4—2921no—
1435C2×D4—2924no—
1436C2×D4—2924no—
1437C2×D4—5842no—
1438C2×D4—731no—
1439C2×D4—731no—
1440C2×D4—731no—
1441C2×D4—731no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—1461no—
1446C2×D4—1462no—
1447C2×D4—1462no—
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—1461no—
1459C2×D4—1461no—
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×D4—1461no—
1471C2×D4D4×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—1461no—
1488C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504Q16—41no—
1505Q16—2921no—
1506SD16—41no—
1507SD16—41no—
1508SD16—2921no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—1462no—
1515SD16—1462no—
1516D8—2921no—
1517D8—2921no—
1518D8—2921no—
1519D8—2921no—
1520D8—2921no—
1521D8—2921no—
1522D8—2921no—
1523D8—2921no—
1524D8—1462no—
1525D8—1462no—
1526D8—1462no—
1527D8—1462no—
1528M16—41no—
1529M16—2921no—
1530C2×C8—41no—
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—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—21no—
1548C4⋊C4—21no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
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⋊C4C23×D7311yescharacteristic
1569C4⋊C4C23×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—731no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—1461no—
1584C22⋊C4—1461no—
1585C22⋊C4—1461no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1614C22⋊C4D4×D7311yescharacteristic
1615C42—21no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—731no—
1624C42—731no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—42no—
1633C23—81no—
1634C23—81no—
1635C23—2922no—
1636C23—2922no—
1637C23—2922no—
1638C23—2922no—
1639C23—2922no—
1640C23—5841no—
1641C23—5841no—
1642C23—5841no—
1643C23—5841no—
1644C23—731no—
1645C23—1461no—
1646C23—1461no—
1647C23—1461no—
1648C23—1461no—
1649C23—1461no—
1650C23C2×D4×D7311yescharacteristic
1651C23C2×D4×D7311yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—81no—
1657Q8—2921no—
1658Q8—2922no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—22no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—81no—
1667D4—81no—
1668D4—81no—
1669D4—2922no—
1670D4—2922no—
1671D4—2922no—
1672D4—2922no—
1673D4—2922no—
1674D4—2922no—
1675D4—2922no—
1676D4—2922no—
1677D4—2921no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—5841no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—732no—
1695D4—1462no—
1696D4—1461no—
1697D4—1461no—
1698D4—1461no—
1699D4—1461no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4—1461no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—81no—
1718C2×C4—81no—
1719C2×C4—2922no—
1720C2×C4—2921no—
1721C2×C4—2922no—
1722C2×C4—2922no—
1723C2×C4—2922no—
1724C2×C4—2922no—
1725C2×C4—2921no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—5841no—
1733C2×C4—5841no—
1734C2×C4—5841no—
1735C2×C4—5841no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—731no—
1742C2×C4—731no—
1743C2×C4—1462no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1462no—
1748C2×C4—1462no—
1749C2×C4—1462no—
1750C2×C4—1461no—
1751C2×C4—1461no—
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—21no—
1766C22—21no—
1767C22—21no—
1768C22—21no—
1769C22—21no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—162no—
1777C22—2921no—
1778C22—2921no—
1779C22—2921no—
1780C22—2921no—
1781C22—2921no—
1782C22—2921no—
1783C22—2921no—
1784C22—2921no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—5844no—
1792C22—5844no—
1793C22—11682no—
1794C22—1462no—
1795C22—1461no—
1796C22—1461no—
1797C22—1461no—
1798C22#1798938612yes—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—2921no—
1811C4—2921no—
1812C4—2921no—
1813C4—732no—
1814C4—1461no—
1815C4—1461no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4H(5,𝔽2)×D7311yescharacteristic
1821C4#1798942311yescharacteristic
1822C2—22no—
1823C2—41no—
1824C2—81no—
1825C2—81no—
1826C2—2922no—
1827C2—2921no—
1828C2—5841no—
1829C2—5841no—
1830C2—5841no—
1831C2—5841no—
1832C2#2262359411yescharacteristic
1833C2C2×#1798938611yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3314C2
socleC22×C73C23×D4
hypercenter#3314D73
hypocenterC73#61977
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623542C2semidirect
3. #22623020C2semidirect
4. #22623018C2semidirect
5. #22622691C2semidirect
6. #22622683C2semidirect
7. #22622006C2semidirect
8. #22621940C2semidirect
9. #22621938C2semidirect
10. #22621779C2semidirect
11. #22621777C2semidirect
12. #22621613C2semidirect
13. #22621609C2semidirect
14. #22621478C2semidirect
15. #22621474C2semidirect
16. #22621416C2semidirect
17. #22621412C2semidirect
18. #22621288C2semidirect
19. #22621263C2semidirect
20. #22621240C2semidirect
21. #22620952C2semidirect
22. #22620927C2semidirect
23. #22620910C2semidirect
24. #22620080C2semidirect
25. #22620027C2semidirect
26. #22619928C2semidirect
27. #22619394C2semidirect
28. #22619385C2semidirect
29. C2×#17988781C2semidirect
30. #22619051C2semidirect
31. C73×#3314C2semidirect
32. C2×#14556619C22semidirect
33. C2×#14556616C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556612C22semidirect
38. #17989322C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989298C22semidirect
45. #17989285C22semidirect
48. #17989256C22semidirect
50. #17989255C22semidirect
53. #17989231C22semidirect
55. #17989228C22semidirect
56. #17989228C22semidirect
63. #17989139C22semidirect
64. #17989138C22semidirect
65. #17989136C22semidirect
66. #17989134C22semidirect
67. #17989133C22semidirect
68. #17989132C22semidirect
69. C2×#14556587C22semidirect
71. #17989123C22semidirect
76. C4×#11924029C22semidirect
79. C2×#14556553C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988973C22semidirect
84. #17988973C22semidirect
85. #17988972C22semidirect
86. #17988968C22semidirect
87. #17988950C22semidirect
88. #17988950C22semidirect
89. #17988949C22semidirect
90. #17988943C22semidirect
91. #17988940C22semidirect
92. #17988922C22semidirect
93. #17988914C22semidirect
94. #17988910C22semidirect
95. #17988900C22semidirect
96. #17988893C22semidirect
97. #17988892C22semidirect
98. #17988890C22semidirect
99. #17988889C22semidirect
100. #17988870C22semidirect
101. #17988866C22semidirect
102. #17988866C22semidirect
103. #17988866C22semidirect
104. #17988864C22semidirect
105. #17988840C22semidirect
106. #17988838C22semidirect
107. #17988835C22semidirect
108. #17988826C22semidirect
109. #17988824C22semidirect
110. #17988824C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
115. #17988812C22semidirect
116. #17988811C22semidirect
117. #17988809C22semidirect
118. #17988805C22semidirect
119. #17988805C22semidirect
120. #17988805C22semidirect
121. #17988804C22semidirect
122. #17988803C22semidirect
123. #17988801C22semidirect
124. #17988801C22semidirect
125. #17988799C22semidirect
126. #17988795C22semidirect
127. #17988791C22semidirect
128. #17988791C22semidirect
129. #17988791C22semidirect
130. #17988785C22semidirect
131. #17988785C22semidirect
132. #17988783C22semidirect
133. #17988782C22semidirect
138. #17988781C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
141. #17988781C22semidirect
142. #17988781C22semidirect
143. #17988781C22semidirect
144. #17988747C22semidirect
147. #17988737C22semidirect
148. #17988735C22semidirect
149. #17988735C22semidirect
150. #17988735C22semidirect
151. #17988734C22semidirect
152. #17988733C22semidirect
153. #17988733C22semidirect
154. #17988732C22semidirect
155. #17988731C22semidirect
157. #17988723C22semidirect
159. #17988720C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988700C22semidirect
163. #17988697C22semidirect
164. #17988690C22semidirect
165. #17988690C22semidirect
166. #17988686C22semidirect
167. #17988686C22semidirect
168. #17988685C22semidirect
169. #17988669C22semidirect
170. #17988669C22semidirect
171. #17988667C22semidirect
172. #17988667C22semidirect
173. #17988661C22semidirect
175. #17988656C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988586C22semidirect
185. #17988582C22semidirect
186. #17988580C22semidirect
187. C2×#14556511C22semidirect
190. #489×C73C22semidirect
191. #484×C73C22semidirect
192. #480×C73C22semidirect
193. #474×C73C22semidirect
194. #468×C73C22semidirect
195. #467×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#102×C73C22semidirect
925. #3314D73semidirect
949. C73#61977semidirect
1010. #489C2×D73semidirect
1014. #484C2×D73semidirect
1018. #480C2×D73semidirect
1028. #474C2×D73semidirect
1032. #468C2×D73semidirect
1034. #467C2×D73semidirect
1044. #464C2×D73semidirect
1072. #452C2×D73semidirect
1076. #450C2×D73semidirect
1098. #440C2×D73semidirect
1116. #417C2×D73semidirect
1120. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235422
#226230202
#226230182
#226226912
#226226832
#226220062
#226219402
#226219382
#226217792
#226217772
#226216132
#226216092
#226214782
#226214742
#226214162
#226214122
#226212882
#226212632
#226212402
#226209522
#226209272
#226209102
#226200802
#226200272
#226199282
#226193942
#226193852
C2×#179887812
#226190512
C73×#33142
#6197773