Finite Group Databasebeta

← #33968026

Subgroups — #33968026

Order 18688.

1910 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623541C211yesmaximal, characteristic, complemented
2#22623015C211yesmaximal, characteristic, complemented
3#22622870C211yesmaximal, characteristic, complemented
4#22622699C211yesmaximal, characteristic, complemented
5#22622678C211yesmaximal, characteristic, complemented
6#22622476C211yesmaximal, characteristic, complemented
7#22622416C211yesmaximal, characteristic, complemented
8#22622327C211yesmaximal, characteristic, complemented
9#22622066C211yesmaximal, characteristic, complemented
10#22622042C211yesmaximal, characteristic, complemented
11#22621961C211yesmaximal, characteristic, complemented
12#22621937C211yesmaximal, characteristic, complemented
13#22621833C211yesmaximal, characteristic, complemented
14#22621775C211yesmaximal, characteristic, complemented
15#22621639C211yesmaximal, characteristic, complemented
16#22621472C211yesmaximal, characteristic, complemented
17#22621427C211yesmaximal, characteristic, complemented
18#22620654C211yesmaximal, characteristic, complemented
19#22620630C211yesmaximal, characteristic, complemented
20#22620623C211yesmaximal, characteristic, complemented
21#22620102C211yesmaximal, characteristic, complemented
22#22620082C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620040C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22620018C211yesmaximal, characteristic, complemented
27#22618945C211yesmaximal, characteristic, complemented
28C4×#14556616C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30C2×#17988685C211yesmaximal, characteristic, complemented
31C73×#3480C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989322C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989294C2211yescharacteristic
38#17989283C2211yescharacteristic
39#17989283C2211yescharacteristic
40#17989281—21no—
41#17989261—21no—
42#17989261—21no—
43#17989233C2211yescharacteristic
44#17989233C2211yescharacteristic
45#17989225—21no—
46D4×D292C2211yescharacteristic
47#17989137C2211yescharacteristic
48#17989124—21no—
49#17989121C2211yescharacteristic
50#17989121C2211yescharacteristic
51#17989096—21no—
52#17989096—21no—
53C4×#11924028C2211yescharacteristic
54C2×C4×D292C2211yescharacteristic
55C2×C4×D292C2211yescharacteristic
56C4×D4×D73—21no—
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988977C2211yescharacteristic
61#17988974C2211yescharacteristic, complemented
62#17988969C2211yescharacteristic, complemented
63#17988953C2211yescharacteristic
64#17988951C2211yescharacteristic, complemented
65#17988949C2211yescharacteristic, complemented
66#17988946C2211yescharacteristic, complemented
67#17988944C2211yescharacteristic, complemented
68#17988941C2211yescharacteristic, complemented
69#17988928C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988922C2211yescharacteristic, complemented
72#17988915C2211yescharacteristic, complemented
73#17988911C2211yescharacteristic
74#17988911C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988908C2211yescharacteristic, complemented
77#17988905C2211yescharacteristic
78#17988903C2211yescharacteristic, complemented
79#17988903C2211yescharacteristic, complemented
80#17988898C2211yescharacteristic, complemented
81#17988894C2211yescharacteristic, complemented
82#17988894C2211yescharacteristic, complemented
83#17988894C2211yescharacteristic, complemented
84#17988891C2211yescharacteristic, complemented
85#17988887C2211yescharacteristic, complemented
86#17988884C2211yescharacteristic
87#17988884C2211yescharacteristic
88#17988884C2211yescharacteristic, complemented
89#17988874C2211yescharacteristic
90#17988874C2211yescharacteristic, complemented
91#17988872C2211yescharacteristic, complemented
92#17988867C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic
95#17988835C2211yescharacteristic
96#17988831C2211yescharacteristic, complemented
97#17988821C2211yescharacteristic
98#17988821C2211yescharacteristic
99#17988821C2211yescharacteristic, complemented
100#17988821C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic, complemented
102#17988818C2211yescharacteristic, complemented
103#17988814C2211yescharacteristic, complemented
104#17988814C2211yescharacteristic, complemented
105#17988809C2211yescharacteristic, complemented
106#17988809C2211yescharacteristic, complemented
107#17988809C2211yescharacteristic, complemented
108#17988806C2211yescharacteristic, complemented
109#17988802C2211yescharacteristic, complemented
110#17988799C2211yescharacteristic
111#17988799C2211yescharacteristic
112#17988799C2211yescharacteristic, complemented
113#17988787C2211yescharacteristic
114#17988782C2211yescharacteristic
115#17988779C2211yescharacteristic
116#17988779C2211yescharacteristic, complemented
117#17988749C2211yescharacteristic, complemented
118#17988747C2211yescharacteristic
119#17988743C2211yescharacteristic, complemented
120#17988737C2211yescharacteristic
121#17988732C2211yescharacteristic
122#17988732C2211yescharacteristic, complemented
123#17988732C2211yescharacteristic, complemented
124#17988730C2211yescharacteristic
125#17988726C2211yescharacteristic
126#17988720C2211yescharacteristic
127#17988720C2211yescharacteristic
128#17988720C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic
134#17988697C2211yescharacteristic, complemented
135#17988697C2211yescharacteristic, complemented
136#17988697C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988692C2211yescharacteristic, complemented
139#17988692C2211yescharacteristic, complemented
140#17988692C2211yescharacteristic, complemented
141#17988687C2211yescharacteristic, complemented
142#17988687C2211yescharacteristic, complemented
143#17988687C2211yescharacteristic, complemented
144#17988685C2211yescharacteristic
145#17988685C2211yescharacteristic
146#17988685C2211yescharacteristic
147#17988685C2211yescharacteristic
148#17988685C2211yescharacteristic
149#17988685C2211yescharacteristic, complemented
150#17988685C2211yescharacteristic, complemented
151#17988685C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic
156C4×#11924015C2211yescharacteristic, complemented
157C4×#11924013C2211yescharacteristic
158C4×#11924013C2211yescharacteristic, complemented
159#17988659C2211yescharacteristic
160#17988659C2211yescharacteristic
161#17988659C2211yescharacteristic, complemented
162#17988659C2211yescharacteristic, complemented
163D4×#10596831C2211yescharacteristic, complemented
164D4×#10596831C2211yescharacteristic, complemented
165#17988644C2211yescharacteristic, complemented
166#17988644C2211yescharacteristic, complemented
167#17988644C2211yescharacteristic, complemented
168#17988630C2211yescharacteristic, complemented
169#17988623C2211yescharacteristic, complemented
170C2×#14556524C2211yescharacteristic, complemented
171#17988591C2211yescharacteristic
172#17988588C2211yescharacteristic, complemented
173#17988583C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic
175C2×#14556515C2211yescharacteristic, complemented
176C2×#14556511C2211yescharacteristic
177C4×#11924012C2211yescharacteristic, complemented
178C2×#14556502C2211yescharacteristic, complemented
179C2×#14556502C2211yescharacteristic, complemented
180#559×C73—21no—
181#559×C73C2211yescharacteristic, complemented
182#557×C73C2211yescharacteristic, complemented
183#556×C73—21no—
184#556×C73C2211yescharacteristic, complemented
185#553×C73—21no—
186#553×C73—21no—
187#553×C73C2211yescharacteristic
188#553×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#548×C73C2211yescharacteristic, complemented
192#532×C73—21no—
193#532×C73C2211yescharacteristic, complemented
194#529×C73—21no—
195#529×C73—21no—
196#529×C73C2211yescharacteristic, complemented
197#529×C73C2211yescharacteristic, complemented
198C4×#41×C73—21no—
199C4×#41×C73C2211yescharacteristic
200C4×#41×C73C2211yescharacteristic, complemented
201C4×#41×C73C2211yescharacteristic, complemented
202C2×C4×Q8×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C22×D292C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C22×C4×D73—21no—
209C22×C4×D73—21no—
210#14556616—24no—
211#14556611—24no—
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015—24no—
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924012C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C22×#10596831C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556588C2311yescharacteristic
237#14556586—21no—
238#14556586—21no—
239#14556585—21no—
240#14556585—21no—
241#14556583C2311yescharacteristic
242#14556583C2311yescharacteristic
243#14556582—21no—
244#14556580—21no—
245#14556579—21no—
246#14556579C2311yescharacteristic
247#14556579C2311yescharacteristic
248#14556576—21no—
249#14556576—21no—
250#14556576—21no—
251#14556576—21no—
252#14556574—21no—
253#14556574—21no—
254#14556573—21no—
255#14556573—21no—
256#14556570C2311yescharacteristic
257#14556570C2311yescharacteristic
258#14556569—21no—
259#14556569—21no—
260#14556568—21no—
261#14556568—21no—
262#14556567—21no—
263#14556566—21no—
264#14556565—21no—
265#14556565C2311yescharacteristic
266#14556565C2311yescharacteristic
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556564—21no—
270#14556564—21no—
271#14556563—21no—
272#14556563—21no—
273#14556561—21no—
274#14556561—21no—
275#14556559—21no—
276#14556559—21no—
277C4×Dic146C2311yescharacteristic
278C4×Dic146C2311yescharacteristic
279C4×D292—21no—
280C4×D292—21no—
281C4×D292—21no—
282C4×D292—21no—
283C4×D292—21no—
284C4×D292C2311yescharacteristic
285C4×D292C2311yescharacteristic
286C4×D292C2311yescharacteristic
287C4×D292C2311yescharacteristic
288C4×D292C2311yescharacteristic
289C4×D292C2311yescharacteristic
290C4×D292C2311yescharacteristic
291C4×D292C2311yescharacteristic
292D4×Dic73—21no—
293#14556553—21no—
294C4×C22⋊D73—21no—
295C4×C22⋊D73—21no—
296C4×C22⋊D73—21no—
297C4×C22⋊D73—21no—
298#14556551—21no—
299#14556551—21no—
300#14556550C2311yescharacteristic
301#14556548—21no—
302#14556548—21no—
303#14556548—21no—
304C2×C4⋊Dic73C2311yescharacteristic
305C2×C4⋊Dic73C2311yescharacteristic
306C4⋊C4×D73—21no—
307C2×#11924005—21no—
308C2×#11924005—21no—
309C22⋊C4×D73—21no—
310C22⋊C4×D73—21no—
311C42×D73—21no—
312#14556524C2311yescharacteristic
313#14556524C2311yescharacteristic
314#14556524C2311yescharacteristic
315#14556524C2311yescharacteristic
316#14556524C2311yescharacteristic
317#14556524C2311yescharacteristic
318#14556524C2311yescharacteristic
319#14556524C2311yescharacteristic
320#14556522C2311yescharacteristic
321#14556522C2311yescharacteristic
322#14556522C2311yescharacteristic
323#14556522C2311yescharacteristic
324#14556522C2311yescharacteristic
325#14556522C2311yescharacteristic
326#14556522C2311yescharacteristic
327#14556522C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331C4⋊#10596831C2311yescharacteristic
332C4⋊#10596831C2311yescharacteristic
333C4⋊#10596831C2311yescharacteristic
334#14556515C2311yescharacteristic
335#14556515C2311yescharacteristic
336#14556515C2311yescharacteristic
337#14556515C2311yescharacteristic
338#14556515C2311yescharacteristic
339#14556515C2311yescharacteristic
340#14556515C2311yescharacteristic
341#14556515C2311yescharacteristic
342#14556514C2311yescharacteristic
343#14556514C2311yescharacteristic
344#14556514C2311yescharacteristic
345#14556514C2311yescharacteristic
346#14556512C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
350#14556512C2311yescharacteristic
351#14556512C2311yescharacteristic
352#14556512C2311yescharacteristic
353#14556512C2311yescharacteristic
354#14556511C2311yescharacteristic
355#14556511C2311yescharacteristic
356#14556511C2311yescharacteristic
357#14556511C2311yescharacteristic
358#14556511C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363#14556511C2311yescharacteristic
364#14556511C2311yescharacteristic
365#14556511C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367C22⋊#10596831C2311yescharacteristic
368C22⋊#10596831C2311yescharacteristic
369C22⋊#10596831C2311yescharacteristic
370C22⋊#10596831C2311yescharacteristic
371C22⋊#10596831C2311yescharacteristic
372#14556502C2311yescharacteristic
373#14556502C2311yescharacteristic
374#14556502C2311yescharacteristic
375#14556502C2311yescharacteristic
376#14556502C2311yescharacteristic
377#14556502C2311yescharacteristic
378#14556502C2311yescharacteristic
379#14556502C2311yescharacteristic
380C4×#10596831C2311yescharacteristic
381C4×#10596831C2311yescharacteristic
382C2×#41×C73—21no—
383C2×#41×C73D411yescharacteristic
384C2×#41×C73C2311yescharacteristic
385C2×#41×C73C2311yescharacteristic
386C22×Q8×C73C2311yescharacteristic
387C4⋊Q8×C73—21no—
388C4⋊Q8×C73C2311yescharacteristic
389#127×C73—21no—
390#127×C73C2311yescharacteristic
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#126×C73—21no—
396#126×C73—21no—
397#125×C73—21no—
398#125×C73—21no—
399#125×C73C2311yescharacteristic
400#125×C73C2311yescharacteristic
401#124×C73—21no—
402#124×C73—21no—
403#124×C73—21no—
404#124×C73—21no—
405#124×C73—21no—
406#124×C73C2311yescharacteristic
407#124×C73C2311yescharacteristic
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412#123×C73—21no—
413#123×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73C2311yescharacteristic
417C22⋊Q8×C73C2311yescharacteristic
418#121×C73—21no—
419#121×C73—21no—
420#121×C73—21no—
421#121×C73—21no—
422#121×C73—21no—
423#121×C73—21no—
424#121×C73—21no—
425#121×C73C2311yescharacteristic
426#121×C73C2311yescharacteristic
427#121×C73C2311yescharacteristic
428#121×C73C2311yescharacteristic
429C4×Q8×C73—21no—
430C4×Q8×C73—21no—
431C4×Q8×C73—21no—
432C4×Q8×C73—21no—
433C4×Q8×C73D411yescharacteristic
434C4×Q8×C73C2311yescharacteristic
435C4×Q8×C73C2311yescharacteristic
436C4×Q8×C73C2311yescharacteristic
437C4×Q8×C73C2311yescharacteristic
438C4×Q8×C73C2311yescharacteristic
439C4×Q8×C73C2311yescharacteristic
440C4×Q8×C73C2311yescharacteristic
441C4×D4×C73—21no—
442C4×D4×C73—21no—
443C4×D4×C73—21no—
444C4×D4×C73—21no—
445C4×D4×C73—21no—
446C4×D4×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73—21no—
454C4×D4×C73D411yescharacteristic
455C4×D4×C73D411yescharacteristic
456C4×D4×C73D411yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73—21no—
465#117×C73—21no—
466#117×C73—21no—
467#117×C73—21no—
468#117×C73D411yescharacteristic
469#117×C73D411yescharacteristic
470#117×C73D411yescharacteristic
471#117×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73—21no—
474C2×C4⋊C4×C73C2311yescharacteristic
475C2×C42×C73—21no—
476C2×C42×C73—21no—
477C2×C42×C73—21no—
478C2×C42×C73C2311yescharacteristic
479C2×C42×C73C2311yescharacteristic
480C2×C42×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924028—22no—
484#11924028—41no—
485#11924028—82no—
486C2×Dic146—21no—
487C2×Dic146C2411yescharacteristic
488C2×D292—22no—
489C2×D292—22no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—41no—
495C2×D292—41no—
496C2×D292C2411yescharacteristic
497C2×D292C2411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504D4×D73—44no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C2×C4×D73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—82no—
517C2×C4×D73—82no—
518#11924018—22no—
519#11924018—41no—
520#11924016—22no—
521#11924016—41no—
522#11924015—22no—
523#11924015—22no—
524#11924015—22no—
525#11924015—22no—
526#11924015—41no—
527#11924015#4114yescomplemented
528#11924013—22no—
529#11924013—22no—
530#11924013—22no—
531#11924013—41no—
532#11924013—41no—
533#11924013—41no—
534#11924012—22no—
535#11924012—41no—
536C2×#10596831—22no—
537C2×#10596831—22no—
538C2×#10596831—41no—
539C2×#10596831—41no—
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563C22⋊Dic73—21no—
564C22⋊Dic73—21no—
565C22⋊Dic73—21no—
566#11924005—21no—
567#11924005—21no—
568#11924005—21no—
569#11924005—21no—
570#11924005—21no—
571#11924005—21no—
572#11924005—21no—
573#11924005—21no—
574#11924005—21no—
575#11924005—21no—
576#11924005—21no—
577#11924005—21no—
578#11924005—21no—
579#11924005—21no—
580#11924005—21no—
581#11924005—21no—
582C4×Dic73—21no—
583C4×Dic73—21no—
584C4×Dic73—21no—
585#41×C73—22no—
586#41×C73—22no—
587#41×C73—42no—
588#41×C73—41no—
589#41×C73—41no—
590#41×C73—44no—
591C2×Q8×C73—21no—
592C2×Q8×C73—21no—
593C2×Q8×C73—22no—
594C2×Q8×C73—41no—
595C2×Q8×C73C2×D411yescharacteristic
596C2×Q8×C73C2411yescharacteristic
597C2×Q8×C73C2411yescharacteristic
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73—21no—
601C2×D4×C73—21no—
602C2×D4×C73—21no—
603C2×D4×C73—21no—
604C2×D4×C73—21no—
605C2×D4×C73—21no—
606C2×D4×C73C2×D411yescharacteristic
607C2×D4×C73C2×D411yescharacteristic
608C2×D4×C73C2×D411yescharacteristic
609C2×D4×C73C2411yescharacteristic
610C2×D4×C73C2411yescharacteristic
611C22×C4×C73—21no—
612C22×C4×C73—21no—
613C22×C4×C73—21no—
614C22×C4×C73—21no—
615C22×C4×C73—21no—
616C22×C4×C73—21no—
617C22×C4×C73—21no—
618C22×C4×C73—21no—
619C22×C4×C73C2×D411yescharacteristic
620C22×C4×C73C2×D411yescharacteristic
621C22×C4×C73C2×D411yescharacteristic
622C22×C4×C73C2×D411yescharacteristic
623C22×C4×C73C2×D411yescharacteristic
624C22×C4×C73C2×D411yescharacteristic
625C22×C4×C73C2411yescharacteristic
626C22×C4×C73C2411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C4⋊C4×C73—21no—
629C4⋊C4×C73—21no—
630C4⋊C4×C73—21no—
631C4⋊C4×C73—21no—
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73C2×D411yescharacteristic
643C4⋊C4×C73C2×D411yescharacteristic
644C4⋊C4×C73C2×D411yescharacteristic
645C4⋊C4×C73C2×D411yescharacteristic
646C4⋊C4×C73C2×D411yescharacteristic
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2411yescharacteristic
649C4⋊C4×C73C2411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C22⋊C4×C73—21no—
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73C2×D411yescharacteristic
669C22⋊C4×C73C2×D411yescharacteristic
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C42×C73—21no—
675C42×C73—21no—
676C42×C73—21no—
677C42×C73—21no—
678C42×C73—21no—
679C42×C73—21no—
680C42×C73—21no—
681C42×C73—21no—
682C42×C73C2×D411yescharacteristic
683C42×C73C2×D411yescharacteristic
684C42×C73C2×D411yescharacteristic
685C42×C73C2×D411yescharacteristic
686C42×C73C2×D411yescharacteristic
687C42×C73C2×D411yescharacteristic
688C42×C73C2411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73C22×D411yescharacteristic
695C23×C73C22×D411yescharacteristic
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—21no—
699C22×D73—21no—
700C22×D73—42no—
701C22×D73—42no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—81no—
705C22×D73—81no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—21no—
709Q8×C73—41no—
710Q8×C73—42no—
711Q8×C73—42no—
712Q8×C73C2×#4112yes—
713D4×C73—22no—
714D4×C73—22no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—41no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—42no—
725D4×C73—81no—
726D4×C73—81no—
727D4×C73—81no—
728C2×C4×C73—22no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—41no—
744C2×C4×C73—41no—
745C2×C4×C73—41no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—42no—
751C2×C4×C73—81no—
752C2×C4×C73—81no—
753C2×C4×C73—81no—
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
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—81no—
770C22⋊D73—81no—
771C2×Dic73—21no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778D292—21no—
779D292—21no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—42no—
784D292—42no—
785D292—42no—
786D292—81no—
787D292C2×#4112yes—
788C4×D73—42no—
789C4×D73—42no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797Dic146—21no—
798Dic146—21no—
799Dic146—81no—
800#10596831—21no—
801#10596831—21no—
802#10596831—21no—
803#10596831—21no—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831C2×#4112yes—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—21no—
811C22×C73—21no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73#57512yes—
823C22×C73C23×D411yescharacteristic
824C2×D73—22no—
825C2×D73—41no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C4×C73—21no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—22no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73C22×#4111yescharacteristic
853C4×C73#58511yescharacteristic
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859#61456—731nomaximal, Sylow
860C2×C73—22no—
861C2×C73—41no—
862C2×C73—41no—
863C2×C73—81no—
864C2×C73—81no—
865C2×C73D4×#4111yescharacteristic
866C2×C73C2×#57511yescharacteristic
867C2×C73#358511yescharacteristic
868D73—42no—
869D73—81no—
870D73—81no—
871#3481—731no—
872#3480D7311yescharacteristic, complemented
873#3403—731no—
874#3388—731no—
875#3371—731no—
876#3370—731no—
877#3350—731no—
878#3346—731no—
879#3339—731no—
880#3318—731no—
881#3316—731no—
882#3311—731no—
883#3309—731no—
884#3301—731no—
885#3297—731no—
886#3282—731no—
887#3268—731no—
888#3265—731no—
889#3183—731no—
890#3180—731no—
891#3180—731no—
892#3117—731no—
893#3115—731no—
894#3114—731no—
895#3111—731no—
896#3111—731no—
897#3109—731no—
898#2970—731no—
899C4×AGL(1,ℤ/8)—731no—
900#2943—731no—
901C2×#440—731no—
902C73#6145611yescharacteristic, complemented, Sylow
903C2×AGL(1,ℤ/8)—731no—
904C2×#135—731no—
905C22×SD16—731no—
906#559—21no—
907#559—731no—
908#559C2×D7311yescharacteristic, complemented
909#557C2×D7311yescharacteristic, complemented
910#556—21no—
911#556C2×D7311yescharacteristic, complemented
912#554—731no—
913#554—731no—
914#553—21no—
915#553—21no—
916#553—731no—
917#553—731no—
918#553—1461no—
919#553C2×D7311yescharacteristic
920#553C2×D7311yescharacteristic, complemented
921#551—1461no—
922#551—1461no—
923#550C2×D7311yescharacteristic, complemented
924#548C2×D7311yescharacteristic
925#548C2×D7311yescharacteristic, complemented
926#546—731no—
927#546—731no—
928#546—1461no—
929D42—731no—
930#532—21no—
931#532—731no—
932#532C2×D7311yescharacteristic, complemented
933#529—21no—
934#529—21no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529C2×D7311yescharacteristic, complemented
939#529C2×D7311yescharacteristic, complemented
940#525—1461no—
941#525—1461no—
942C4×#41—21no—
943C4×#41—731no—
944C4×#41C2×D7311yescharacteristic
945C4×#41C2×D7311yescharacteristic, complemented
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×Q8C2×D7311yescharacteristic, complemented
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951#501—731no—
952#501—731no—
953#499—731no—
954#496—731no—
955#496—731no—
956#495—731no—
957#490—731no—
958#490—731no—
959#489—731no—
960#489—731no—
961#488—731no—
962#488—731no—
963#485—731no—
964#485—731no—
965#484—731no—
966#483—731no—
967#482—731no—
968#482—731no—
969#482—731no—
970#482—731no—
971#481—731no—
972#481—731no—
973#481—731no—
974#480—731no—
975#479—731no—
976#479—731no—
977#479—731no—
978#479—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#476—731no—
984#476—731no—
985#475—731no—
986#474—731no—
987#470—731no—
988#469—731no—
989#468—731no—
990#468—731no—
991#466—731no—
992#466—731no—
993#466—731no—
994#466—731no—
995#465—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#464—731no—
1000#464—731no—
1001#464—731no—
1002#464—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#460—731no—
1008#459—731no—
1009#459—731no—
1010#459—731no—
1011#452—731no—
1012#452—731no—
1013#451—731no—
1014#450—731no—
1015#449—731no—
1016#449—731no—
1017#449—731no—
1018#449—731no—
1019#448—731no—
1020#447—731no—
1021#447—731no—
1022#447—731no—
1023#446—731no—
1024#446—731no—
1025#442—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#441—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049C4×SD16—731no—
1050C4×SD16—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053#435—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057C8×D4—731no—
1058C8×D4—731no—
1059#432—731no—
1060#432—731no—
1061#432—731no—
1062#428—731no—
1063#427—731no—
1064C2×#107—731no—
1065#418—731no—
1066#417—731no—
1067#416—731no—
1068#416—731no—
1069C2×#103—731no—
1070C2×#102—731no—
1071C4×M16—731no—
1072C2×#97—731no—
1073C2×#97—731no—
1074C2×#41—21no—
1075C2×#41—731no—
1076C2×#41—1461no—
1077C2×#41C22⋊D7311yescharacteristic
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×Q8C22×D7311yescharacteristic
1081C22×D4—731no—
1082C22×D4—731no—
1083C22×D4—1461no—
1084C23×C4—1461no—
1085C23×C4—1461no—
1086AGL(1,ℤ/8)—1464no—
1087#135—1464no—
1088C2×Q16—731no—
1089C2×Q16—731no—
1090C2×SD16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—1464no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×M16—731no—
1106C2×M16—731no—
1107C22×C8—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C4⋊Q8—21no—
1112C4⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
1114#127—21no—
1115#127—731no—
1116#127C22×D7311yescharacteristic
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—21no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#126—1461no—
1127#125—21no—
1128#125—21no—
1129#125—731no—
1130#125—731no—
1131#125—1461no—
1132#125C22×D7311yescharacteristic
1133#125C22×D7311yescharacteristic
1134#124—21no—
1135#124—21no—
1136#124—21no—
1137#124—21no—
1138#124—21no—
1139#124—731no—
1140#124—731no—
1141#124—1461no—
1142#124—1461no—
1143#124C22×D7311yescharacteristic
1144#124C22×D7311yescharacteristic
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—21no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158#123—1461no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—731no—
1162C22⋊Q8—731no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8C22×D7311yescharacteristic
1169C22⋊Q8C22×D7311yescharacteristic
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#121C22×D7311yescharacteristic
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195C4×Q8—21no—
1196C4×Q8—21no—
1197C4×Q8—21no—
1198C4×Q8—21no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8C22⋊D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×Q8C22×D7311yescharacteristic
1207C4×Q8C22×D7311yescharacteristic
1208C4×Q8C22×D7311yescharacteristic
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—21no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
1225C4×D4—731no—
1226C4×D4—731no—
1227C4×D4—731no—
1228C4×D4—731no—
1229C4×D4—731no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4C22⋊D7311yescharacteristic
1244C4×D4C22⋊D7311yescharacteristic
1245C4×D4C22⋊D7311yescharacteristic
1246C4×D4C22×D7311yescharacteristic
1247C4×D4C22×D7311yescharacteristic
1248C4×D4C22×D7311yescharacteristic
1249C4×D4C22×D7311yescharacteristic
1250C4×D4C22×D7311yescharacteristic
1251C4×D4C22×D7311yescharacteristic
1252C4×D4C22×D7311yescharacteristic
1253#117—21no—
1254#117—21no—
1255#117—21no—
1256#117—21no—
1257#117—731no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117C22⋊D7311yescharacteristic
1262#117C22⋊D7311yescharacteristic
1263#117C22⋊D7311yescharacteristic
1264#117C22×D7311yescharacteristic
1265#117C22×D7311yescharacteristic
1266C2×C4⋊C4—21no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—731no—
1269C2×C4⋊C4—1461no—
1270C2×C4⋊C4C22×D7311yescharacteristic
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C42—21no—
1276C2×C42—21no—
1277C2×C42—21no—
1278C2×C42—1461no—
1279C2×C42C22×D7311yescharacteristic
1280C2×C42C22×D7311yescharacteristic
1281C2×C42C22×D7311yescharacteristic
1282#107—731no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#106—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298C4⋊C8—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336C22⋊C8—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342#97—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350C4×C8—731no—
1351C4×C8—731no—
1352C24—1461no—
1353C24—1461no—
1354#41—22no—
1355#41—22no—
1356#41—42no—
1357#41—41no—
1358#41—41no—
1359#41—44no—
1360#41—2921no—
1361#41—5842no—
1362#41—1462no—
1363C2×Q8—21no—
1364C2×Q8—21no—
1365C2×Q8—22no—
1366C2×Q8—41no—
1367C2×Q8—731no—
1368C2×Q8—1461no—
1369C2×Q8C2×C22⋊D7311yescharacteristic
1370C2×Q8C23×D7311yescharacteristic
1371C2×Q8C23×D7311yescharacteristic
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—21no—
1380C2×D4—2921no—
1381C2×D4—2921no—
1382C2×D4—2924no—
1383C2×D4—731no—
1384C2×D4—731no—
1385C2×D4—731no—
1386C2×D4—1462no—
1387C2×D4—1462no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4C2×C22⋊D7311yescharacteristic
1398C2×D4C2×C22⋊D7311yescharacteristic
1399C2×D4C2×C22⋊D7311yescharacteristic
1400C2×D4C23×D7311yescharacteristic
1401C2×D4C23×D7311yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—21no—
1409C22×C4—21no—
1410C22×C4—5842no—
1411C22×C4—5842no—
1412C22×C4—1461no—
1413C22×C4—1461no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4C2×C22⋊D7311yescharacteristic
1424C22×C4C2×C22⋊D7311yescharacteristic
1425C22×C4C2×C22⋊D7311yescharacteristic
1426C22×C4C2×C22⋊D7311yescharacteristic
1427C22×C4C2×C22⋊D7311yescharacteristic
1428C22×C4C2×C22⋊D7311yescharacteristic
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431C22×C4C23×D7311yescharacteristic
1432Q16—2921no—
1433Q16—1462no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—734no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441SD16—1462no—
1442D8—2921no—
1443D8—2921no—
1444D8—2921no—
1445D8—1462no—
1446D8—1462no—
1447D8—1462no—
1448M16—2921no—
1449M16—1462no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8—731no—
1458C2×C8—731no—
1459C2×C8—731no—
1460C2×C8—1462no—
1461C2×C8—1462no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—21no—
1470C4⋊C4—21no—
1471C4⋊C4—21no—
1472C4⋊C4—21no—
1473C4⋊C4—21no—
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—731no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4C2×C22⋊D7311yescharacteristic
1492C4⋊C4C2×C22⋊D7311yescharacteristic
1493C4⋊C4C2×C22⋊D7311yescharacteristic
1494C4⋊C4C2×C22⋊D7311yescharacteristic
1495C4⋊C4C2×C22⋊D7311yescharacteristic
1496C4⋊C4C2×C22⋊D7311yescharacteristic
1497C4⋊C4C23×D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4C2×C22⋊D7311yescharacteristic
1537C22⋊C4C2×C22⋊D7311yescharacteristic
1538C22⋊C4C2×C22⋊D7311yescharacteristic
1539C22⋊C4C2×C22⋊D7311yescharacteristic
1540C22⋊C4C2×C22⋊D7311yescharacteristic
1541C22⋊C4C2×C22⋊D7311yescharacteristic
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—1461no—
1551C42—1461no—
1552C42—1461no—
1553C42C2×C22⋊D7311yescharacteristic
1554C42C2×C22⋊D7311yescharacteristic
1555C42C2×C22⋊D7311yescharacteristic
1556C42C2×C22⋊D7311yescharacteristic
1557C42C2×C22⋊D7311yescharacteristic
1558C42C2×C22⋊D7311yescharacteristic
1559C42C23×D7311yescharacteristic
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C23—21no—
1564C23—21no—
1565C23—2922no—
1566C23—2922no—
1567C23—2922no—
1568C23—2922no—
1569C23—5841no—
1570C23—5841no—
1571C23—1461no—
1572C23—1461no—
1573C23—1461no—
1574C23C22×C22⋊D7311yescharacteristic
1575C23C22×C22⋊D7311yescharacteristic
1576C23C22×C22⋊D7311yescharacteristic
1577Q8—21no—
1578Q8—21no—
1579Q8—21no—
1580Q8—41no—
1581Q8—42no—
1582Q8—42no—
1583Q8—5841no—
1584Q8—1461no—
1585Q8—1461no—
1586Q8#41×D7312yes—
1587D4—22no—
1588D4—22no—
1589D4—21no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—41no—
1594D4—42no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—81no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—5841no—
1609D4—5841no—
1610D4—5841no—
1611D4—732no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4—1461no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—41no—
1631C2×C4—41no—
1632C2×C4—41no—
1633C2×C4—41no—
1634C2×C4—41no—
1635C2×C4—42no—
1636C2×C4—42no—
1637C2×C4—42no—
1638C2×C4—42no—
1639C2×C4—42no—
1640C2×C4—81no—
1641C2×C4—81no—
1642C2×C4—81no—
1643C2×C4—2922no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—1461no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4C22×C22⋊D7311yescharacteristic
1660C2×C4C22×C22⋊D7311yescharacteristic
1661C2×C4C22×C22⋊D7311yescharacteristic
1662C2×C4C22×C22⋊D7311yescharacteristic
1663C2×C4C22×C22⋊D7311yescharacteristic
1664C2×C4C22×C22⋊D7311yescharacteristic
1665C2×C4C22×C22⋊D7311yescharacteristic
1666C2×C4C22×C22⋊D7311yescharacteristic
1667C2×C4C22×C22⋊D7311yescharacteristic
1668C2×C4C22×C22⋊D7311yescharacteristic
1669C2×C4C22×C22⋊D7311yescharacteristic
1670C2×C4C24×D7311yescharacteristic
1671C8—732no—
1672C8—1461no—
1673C8—1461no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—21no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—2921no—
1694C22—2921no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—5844no—
1702C22—5844no—
1703C22—1462no—
1704C22#1798938512yes—
1705C22C23×C22⋊D7311yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—22no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—2921no—
1724C4—2921no—
1725C4—2921no—
1726C4—2921no—
1727C4—2921no—
1728C4C2×#41×D7311yescharacteristic
1729C4#1798942311yescharacteristic
1730C2—22no—
1731C2—41no—
1732C2—41no—
1733C2—81no—
1734C2—81no—
1735C2—2922no—
1736C2—5841no—
1737C2—5841no—
1738C2#41×C22⋊D7311yescharacteristic
1739C2C2×#1798938511yescharacteristic
1740C2#2262471011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3480C2
socleC22×C73C23×D4
hypercenter#3480D73
hypocenterC73#61456
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3480

Complements

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

NH ≅ G/Ntype
1. #22623541C2semidirect
2. #22623015C2semidirect
3. #22622870C2semidirect
4. #22622699C2semidirect
5. #22622678C2semidirect
6. #22622476C2semidirect
7. #22622416C2semidirect
8. #22622327C2semidirect
9. #22622066C2semidirect
10. #22622042C2semidirect
11. #22621961C2semidirect
12. #22621937C2semidirect
13. #22621833C2semidirect
14. #22621775C2semidirect
15. #22621639C2semidirect
16. #22621472C2semidirect
17. #22621427C2semidirect
18. #22620654C2semidirect
19. #22620630C2semidirect
20. #22620623C2semidirect
21. #22620102C2semidirect
22. #22620082C2semidirect
23. #22620065C2semidirect
24. #22620040C2semidirect
25. #22620034C2semidirect
26. #22620018C2semidirect
27. #22618945C2semidirect
28. C4×#14556616C2semidirect
29. #22618729C2semidirect
30. C2×#17988685C2semidirect
31. C73×#3480C2semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
61. #17988974C22semidirect
62. #17988969C22semidirect
64. #17988951C22semidirect
65. #17988949C22semidirect
66. #17988946C22semidirect
67. #17988944C22semidirect
68. #17988941C22semidirect
69. #17988928C22semidirect
70. #17988925C22semidirect
71. #17988922C22semidirect
72. #17988915C22semidirect
74. #17988911C22semidirect
75. #17988911C22semidirect
76. #17988908C22semidirect
78. #17988903C22semidirect
79. #17988903C22semidirect
80. #17988898C22semidirect
81. #17988894C22semidirect
82. #17988894C22semidirect
83. #17988894C22semidirect
84. #17988891C22semidirect
85. #17988887C22semidirect
88. #17988884C22semidirect
90. #17988874C22semidirect
91. #17988872C22semidirect
92. #17988867C22semidirect
93. #17988843C22semidirect
96. #17988831C22semidirect
99. #17988821C22semidirect
100. #17988821C22semidirect
101. #17988818C22semidirect
102. #17988818C22semidirect
103. #17988814C22semidirect
104. #17988814C22semidirect
105. #17988809C22semidirect
106. #17988809C22semidirect
107. #17988809C22semidirect
108. #17988806C22semidirect
109. #17988802C22semidirect
112. #17988799C22semidirect
116. #17988779C22semidirect
117. #17988749C22semidirect
119. #17988743C22semidirect
122. #17988732C22semidirect
123. #17988732C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
134. #17988697C22semidirect
135. #17988697C22semidirect
136. #17988697C22semidirect
137. #17988697C22semidirect
138. #17988692C22semidirect
139. #17988692C22semidirect
140. #17988692C22semidirect
141. #17988687C22semidirect
142. #17988687C22semidirect
143. #17988687C22semidirect
149. #17988685C22semidirect
150. #17988685C22semidirect
151. #17988685C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. #17988685C22semidirect
156. C4×#11924015C22semidirect
158. C4×#11924013C22semidirect
161. #17988659C22semidirect
162. #17988659C22semidirect
163. D4×#10596831C22semidirect
164. D4×#10596831C22semidirect
165. #17988644C22semidirect
166. #17988644C22semidirect
167. #17988644C22semidirect
168. #17988630C22semidirect
169. #17988623C22semidirect
170. C2×#14556524C22semidirect
172. #17988588C22semidirect
173. #17988583C22semidirect
175. C2×#14556515C22semidirect
177. C4×#11924012C22semidirect
178. C2×#14556502C22semidirect
179. C2×#14556502C22semidirect
181. #559×C73C22semidirect
182. #557×C73C22semidirect
184. #556×C73C22semidirect
188. #553×C73C22semidirect
189. #550×C73C22semidirect
191. #548×C73C22semidirect
193. #532×C73C22semidirect
196. #529×C73C22semidirect
197. #529×C73C22semidirect
200. C4×#41×C73C22semidirect
201. C4×#41×C73C22semidirect
202. C2×C4×Q8×C73C22semidirect
527. #11924015#41semidirect
872. #3480D73semidirect
902. C73#61456semidirect
908. #559C2×D73semidirect
909. #557C2×D73semidirect
911. #556C2×D73semidirect
920. #553C2×D73semidirect
923. #550C2×D73semidirect
925. #548C2×D73semidirect
932. #532C2×D73semidirect
938. #529C2×D73semidirect
939. #529C2×D73semidirect
945. C4×#41C2×D73semidirect
946. C4×#41C2×D73semidirect
947. C2×C4×Q8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235412
#226230152
#226228702
#226226992
#226226782
#226224762
#226224162
#226223272
#226220662
#226220422
#226219612
#226219372
#226218332
#226217752
#226216392
#226214722
#226214272
#226206542
#226206302
#226206232
#226201022
#226200822
#226200652
#226200402
#226200342
#226200182
#226189452
C4×#145566162
#226187292
C2×#179886852
C73×#34802
#6145673