Finite Group Databasebeta

← #33967976

Subgroups — #33967976

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623541C211yesmaximal, characteristic, complemented
2#22622997C211yesmaximal, characteristic, complemented
3#22622885C211yesmaximal, characteristic, complemented
4#22622752C211yesmaximal, characteristic, complemented
5#22622684C211yesmaximal, characteristic, complemented
6#22622431C211yesmaximal, characteristic, complemented
7#22622386C211yesmaximal, characteristic, complemented
8#22622310C211yesmaximal, characteristic, complemented
9#22622081C211yesmaximal, characteristic, complemented
10#22622012C211yesmaximal, characteristic, complemented
11#22621946C211yesmaximal, characteristic, complemented
12#22621907C211yesmaximal, characteristic, complemented
13#22621781C211yesmaximal, characteristic, complemented
14#22621760C211yesmaximal, characteristic, complemented
15#22621612C211yesmaximal, characteristic, complemented
16#22621457C211yesmaximal, characteristic, complemented
17#22621412C211yesmaximal, characteristic, complemented
18#22620654C211yesmaximal, characteristic, complemented
19#22620634C211yesmaximal, characteristic, complemented
20#22620630C211yesmaximal, characteristic, complemented
21#22620082C211yesmaximal, characteristic, complemented
22#22620069C211yesmaximal, characteristic, complemented
23#22620065C211yesmaximal, characteristic, complemented
24#22620040C211yesmaximal, characteristic, complemented
25#22620034C211yesmaximal, characteristic, complemented
26#22620026C211yesmaximal, characteristic, complemented
27#22618945C211yesmaximal, characteristic, complemented
28C4×#14556616C211yesmaximal, characteristic, complemented
29#22618729C211yesmaximal, characteristic, complemented
30C2×#17988697C211yesmaximal, characteristic, complemented
31C73×#3475C211yesmaximal, characteristic, complemented
32C2×#14556616C2211yescharacteristic
33C2×#14556611C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989322C2211yescharacteristic, complemented
36#17989297C2211yescharacteristic, complemented
37#17989294C2211yescharacteristic
38#17989283C2211yescharacteristic
39#17989283C2211yescharacteristic, complemented
40#17989281—21no—
41#17989261—21no—
42#17989261—21no—
43#17989233C2211yescharacteristic
44#17989233C2211yescharacteristic, complemented
45#17989225—21no—
46D4×D292C2211yescharacteristic
47#17989137C2211yescharacteristic, complemented
48#17989124—21no—
49#17989121C2211yescharacteristic
50#17989121C2211yescharacteristic, complemented
51#17989096—21no—
52#17989096—21no—
53C4×#11924028C2211yescharacteristic, complemented
54C2×C4×D292C2211yescharacteristic
55C2×C4×D292C2211yescharacteristic, complemented
56C4×D4×D73—21no—
57#17988997C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988986C2211yescharacteristic, complemented
60#17988979C2211yescharacteristic, complemented
61#17988977C2211yescharacteristic
62#17988969C2211yescharacteristic, complemented
63#17988955C2211yescharacteristic, complemented
64#17988953C2211yescharacteristic, complemented
65#17988949C2211yescharacteristic, complemented
66#17988946C2211yescharacteristic, complemented
67#17988944C2211yescharacteristic, complemented
68#17988941C2211yescharacteristic, complemented
69#17988928C2211yescharacteristic, complemented
70#17988925C2211yescharacteristic, complemented
71#17988920C2211yescharacteristic, complemented
72#17988920C2211yescharacteristic, complemented
73#17988917C2211yescharacteristic, complemented
74#17988915C2211yescharacteristic, complemented
75#17988911C2211yescharacteristic, complemented
76#17988911C2211yescharacteristic, complemented
77#17988911C2211yescharacteristic, complemented
78#17988908C2211yescharacteristic, complemented
79#17988900C2211yescharacteristic
80#17988898C2211yescharacteristic, complemented
81#17988894C2211yescharacteristic, complemented
82#17988891C2211yescharacteristic, complemented
83#17988887C2211yescharacteristic, complemented
84#17988887C2211yescharacteristic, complemented
85#17988887C2211yescharacteristic, complemented
86#17988884C2211yescharacteristic, complemented
87#17988884C2211yescharacteristic, complemented
88#17988884C2211yescharacteristic, complemented
89#17988872C2211yescharacteristic, complemented
90#17988867C2211yescharacteristic, complemented
91#17988864C2211yescharacteristic, complemented
92#17988864C2211yescharacteristic, complemented
93#17988843C2211yescharacteristic, complemented
94#17988838C2211yescharacteristic
95#17988835C2211yescharacteristic, complemented
96#17988831C2211yescharacteristic, complemented
97#17988826C2211yescharacteristic, complemented
98#17988826C2211yescharacteristic, complemented
99#17988821C2211yescharacteristic, complemented
100#17988821C2211yescharacteristic, complemented
101#17988818C2211yescharacteristic
102#17988818C2211yescharacteristic
103#17988818C2211yescharacteristic, complemented
104#17988818C2211yescharacteristic, complemented
105#17988809C2211yescharacteristic, complemented
106#17988806C2211yescharacteristic, complemented
107#17988802C2211yescharacteristic, complemented
108#17988802C2211yescharacteristic, complemented
109#17988802C2211yescharacteristic, complemented
110#17988799C2211yescharacteristic
111#17988799C2211yescharacteristic
112#17988799C2211yescharacteristic, complemented
113#17988789C2211yescharacteristic, complemented
114#17988789C2211yescharacteristic, complemented
115#17988787C2211yescharacteristic, complemented
116#17988782C2211yescharacteristic
117#17988749C2211yescharacteristic, complemented
118#17988747C2211yescharacteristic, complemented
119#17988738C2211yescharacteristic, complemented
120#17988737C2211yescharacteristic
121#17988737C2211yescharacteristic
122#17988737C2211yescharacteristic, complemented
123#17988732C2211yescharacteristic
124#17988732C2211yescharacteristic, complemented
125#17988732C2211yescharacteristic, complemented
126#17988730C2211yescharacteristic
127#17988721C2211yescharacteristic
128#17988720C2211yescharacteristic
129#17988718C2211yescharacteristic, complemented
130#17988718C2211yescharacteristic, complemented
131#17988697C2211yescharacteristic
132#17988697C2211yescharacteristic
133#17988697C2211yescharacteristic
134#17988697C2211yescharacteristic
135#17988697C2211yescharacteristic
136#17988697C2211yescharacteristic, complemented
137#17988697C2211yescharacteristic, complemented
138#17988697C2211yescharacteristic, complemented
139#17988697C2211yescharacteristic, complemented
140#17988697C2211yescharacteristic, complemented
141#17988697C2211yescharacteristic, complemented
142#17988692C2211yescharacteristic, complemented
143#17988692C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988687C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147#17988687C2211yescharacteristic, complemented
148#17988685C2211yescharacteristic, complemented
149#17988685C2211yescharacteristic, complemented
150#17988685C2211yescharacteristic, complemented
151#17988685C2211yescharacteristic, complemented
152#17988685C2211yescharacteristic, complemented
153#17988685C2211yescharacteristic, complemented
154#17988685C2211yescharacteristic, complemented
155C4×#11924015C2211yescharacteristic, complemented
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×#14556522C2211yescharacteristic, complemented
171#17988591C2211yescharacteristic, complemented
172#17988588C2211yescharacteristic, complemented
173#17988583C2211yescharacteristic, complemented
174#17988581C2211yescharacteristic, complemented
175C2×#14556512C2211yescharacteristic, complemented
176C2×#14556511C2211yescharacteristic
177C4×#11924012C2211yescharacteristic, complemented
178C2×#14556502C2211yescharacteristic, complemented
179C2×#14556502C2211yescharacteristic, complemented
180#556×C73C2211yescharacteristic, complemented
181#555×C73C2211yescharacteristic, complemented
182#554×C73C2211yescharacteristic, complemented
183#553×C73—21no—
184#552×C73—21no—
185#552×C73C2211yescharacteristic
186#552×C73C2211yescharacteristic, complemented
187#551×C73—21no—
188#551×C73—21no—
189#547×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#533×C73C2211yescharacteristic, complemented
193#529×C73—21no—
194#529×C73—21no—
195#529×C73C2211yescharacteristic, complemented
196#529×C73C2211yescharacteristic, complemented
197#525×C73—21no—
198C4×#41×C73C2211yescharacteristic
199C4×#41×C73C2211yescharacteristic, complemented
200C4×#41×C73C2211yescharacteristic, complemented
201C2×C4×D4×C73C2211yescharacteristic, complemented
202C2×#117×C73—21no—
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×#11924015C2311yescharacteristic
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924013—24no—
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×C73D411yescharacteristic
383C2×#41×C73C2311yescharacteristic
384C2×#41×C73C2311yescharacteristic
385C22×D4×C73C2311yescharacteristic
386C23×C4×C73—21no—
387C4⋊Q8×C73C2311yescharacteristic
388C4⋊Q8×C73C2311yescharacteristic
389#126×C73—21no—
390#126×C73—21no—
391#126×C73—21no—
392#126×C73—21no—
393#126×C73—21no—
394#126×C73—21no—
395#125×C73—21no—
396#125×C73—21no—
397#125×C73—21no—
398#125×C73C2311yescharacteristic
399#125×C73C2311yescharacteristic
400#124×C73—21no—
401#124×C73—21no—
402#124×C73C2311yescharacteristic
403#124×C73C2311yescharacteristic
404#123×C73—21no—
405#123×C73—21no—
406#123×C73—21no—
407#123×C73—21no—
408#123×C73—21no—
409#123×C73—21no—
410#123×C73—21no—
411#123×C73—21no—
412C22⋊Q8×C73—21no—
413C22⋊Q8×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73C2311yescharacteristic
418C22⋊Q8×C73C2311yescharacteristic
419C22⋊Q8×C73C2311yescharacteristic
420C22⋊Q8×C73C2311yescharacteristic
421#121×C73—21no—
422#121×C73—21no—
423#121×C73—21no—
424#121×C73—21no—
425#121×C73C2311yescharacteristic
426#121×C73C2311yescharacteristic
427#120×C73—21no—
428#120×C73—21no—
429C4×Q8×C73—21no—
430C4×Q8×C73D411yescharacteristic
431C4×Q8×C73C2311yescharacteristic
432C4×Q8×C73C2311yescharacteristic
433C4×Q8×C73C2311yescharacteristic
434C4×Q8×C73C2311yescharacteristic
435C4×Q8×C73C2311yescharacteristic
436C4×D4×C73—21no—
437C4×D4×C73—21no—
438C4×D4×C73—21no—
439C4×D4×C73—21no—
440C4×D4×C73—21no—
441C4×D4×C73—21no—
442C4×D4×C73—21no—
443C4×D4×C73—21no—
444C4×D4×C73D411yescharacteristic
445C4×D4×C73D411yescharacteristic
446C4×D4×C73D411yescharacteristic
447C4×D4×C73C2311yescharacteristic
448C4×D4×C73C2311yescharacteristic
449C4×D4×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456#117×C73—21no—
457#117×C73—21no—
458#117×C73—21no—
459#117×C73—21no—
460#117×C73—21no—
461#117×C73—21no—
462#117×C73—21no—
463#117×C73—21no—
464#117×C73—21no—
465#117×C73D411yescharacteristic
466#117×C73D411yescharacteristic
467#117×C73D411yescharacteristic
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73—21no—
472C2×C4⋊C4×C73C2311yescharacteristic
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C22⋊C4×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—41no—
526#11924015—41no—
527#11924015—41no—
528#11924013—22no—
529#11924013—22no—
530#11924013—22no—
531#11924013—22no—
532#11924013—41no—
533#11924013#4114yescomplemented
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—
585C24×C73—21no—
586#41×C73—22no—
587#41×C73—22no—
588#41×C73—42no—
589#41×C73—41no—
590#41×C73—41no—
591C2×Q8×C73—21no—
592C2×Q8×C73C2×D411yescharacteristic
593C2×Q8×C73C2411yescharacteristic
594C2×Q8×C73C2411yescharacteristic
595C2×D4×C73—22no—
596C2×D4×C73—21no—
597C2×D4×C73—21no—
598C2×D4×C73—21no—
599C2×D4×C73—21no—
600C2×D4×C73—21no—
601C2×D4×C73—41no—
602C2×D4×C73C2×D411yescharacteristic
603C2×D4×C73C2×D411yescharacteristic
604C2×D4×C73C2×D411yescharacteristic
605C2×D4×C73C2411yescharacteristic
606C2×D4×C73C2411yescharacteristic
607C22×C4×C73—21no—
608C22×C4×C73—21no—
609C22×C4×C73—21no—
610C22×C4×C73—21no—
611C22×C4×C73—21no—
612C22×C4×C73—21no—
613C22×C4×C73—21no—
614C22×C4×C73—21no—
615C22×C4×C73—21no—
616C22×C4×C73—44no—
617C22×C4×C73C2×D411yescharacteristic
618C22×C4×C73C2×D411yescharacteristic
619C22×C4×C73C2×D411yescharacteristic
620C22×C4×C73C2×D411yescharacteristic
621C22×C4×C73C2×D411yescharacteristic
622C22×C4×C73C2×D411yescharacteristic
623C22×C4×C73C2411yescharacteristic
624C22×C4×C73C2411yescharacteristic
625C22×C4×C73C2411yescharacteristic
626C4⋊C4×C73—21no—
627C4⋊C4×C73—21no—
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×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C22⋊C4×C73C2×D411yescharacteristic
673C22⋊C4×C73C2×D411yescharacteristic
674C22⋊C4×C73C2×D411yescharacteristic
675C22⋊C4×C73C2×D411yescharacteristic
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×C73—42no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73C22×D411yescharacteristic
698C23×C73C22×D411yescharacteristic
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—21no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73—81no—
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—41no—
714Q8×C73—81no—
715D4×C73—22no—
716D4×C73—22no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—21no—
720D4×C73—41no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—81no—
725D4×C73—81no—
726D4×C73C2×#4112yes—
727C2×C4×C73—22no—
728C2×C4×C73—21no—
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—41no—
741C2×C4×C73—41no—
742C2×C4×C73—41no—
743C2×C4×C73—41no—
744C2×C4×C73—41no—
745C2×C4×C73—42no—
746C2×C4×C73—42no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—42no—
751C2×C4×C73—42no—
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—22no—
815C22×C73—21no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—84no—
823C22×C73#57512yes—
824C22×C73C23×D411yescharacteristic
825C2×D73—22no—
826C2×D73—41no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—84no—
835C2×D73—84no—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—21no—
841C4×C73—21no—
842C4×C73—21no—
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×C73—41no—
853C4×C73C22×#4111yescharacteristic
854C4×C73#58511yescharacteristic
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—22no—
862C2×C73—41no—
863C2×C73—41no—
864C2×C73—42no—
865C2×C73—81no—
866C2×C73D4×#4111yescharacteristic
867C2×C73C2×#57511yescharacteristic
868C2×C73#358511yescharacteristic
869D73—42no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475D7311yescharacteristic, complemented
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267—731no—
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×#135—731no—
906C22×D8—731no—
907#559—731no—
908#556C2×D7311yescharacteristic, complemented
909#555C2×D7311yescharacteristic, complemented
910#554—731no—
911#554—731no—
912#554C2×D7311yescharacteristic, complemented
913#553—21no—
914#553—731no—
915#553—731no—
916#553—1461no—
917#552—21no—
918#552C2×D7311yescharacteristic
919#552C2×D7311yescharacteristic, complemented
920#551—21no—
921#551—21no—
922#551—1461no—
923#551—1461no—
924#547C2×D7311yescharacteristic, complemented
925#546—731no—
926#546—731no—
927#546—1461no—
928#546C2×D7311yescharacteristic
929#546C2×D7311yescharacteristic, complemented
930D42—731no—
931#533C2×D7311yescharacteristic, complemented
932#532—731no—
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—21no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41C2×D7311yescharacteristic
945C4×#41C2×D7311yescharacteristic, complemented
946C4×#41C2×D7311yescharacteristic, complemented
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—1461no—
950C2×C4×D4C2×D7311yescharacteristic, complemented
951C2×#117—21no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497—731no—
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470—731no—
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465—731no—
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463—731no—
1008#461—731no—
1009#461—731no—
1010#460—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449—731no—
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#441—731no—
1038#441—731no—
1039#441—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—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435—731no—
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—1461no—
1077C2×#41C22⋊D7311yescharacteristic
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—21no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—1464no—
1088#135—1464no—
1089C2×Q16—731no—
1090C2×Q16—731no—
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16—731no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—731no—
1104C2×D8—731no—
1105C2×D8—1464no—
1106C2×M16—731no—
1107C2×M16—731no—
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8—731no—
1112C4⋊Q8—731no—
1113C4⋊Q8C22×D7311yescharacteristic
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
1116#126—21no—
1117#126—21no—
1118#126—21no—
1119#126—21no—
1120#126—21no—
1121#126—21no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—21no—
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—731no—
1137#124—731no—
1138#124—1461no—
1139#124—1461no—
1140#124C22×D7311yescharacteristic
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—21no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—21no—
1159C22⋊Q8—21no—
1160C22⋊Q8—21no—
1161C22⋊Q8—21no—
1162C22⋊Q8—21no—
1163C22⋊Q8—731no—
1164C22⋊Q8—731no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8C22×D7311yescharacteristic
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—731no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—21no—
1191#120—21no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—21no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8C22⋊D7311yescharacteristic
1200C4×Q8C22×D7311yescharacteristic
1201C4×Q8C22×D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4C22⋊D7311yescharacteristic
1235C4×D4C22⋊D7311yescharacteristic
1236C4×D4C22⋊D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239C4×D4C22×D7311yescharacteristic
1240C4×D4C22×D7311yescharacteristic
1241C4×D4C22×D7311yescharacteristic
1242C4×D4C22×D7311yescharacteristic
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—21no—
1249#117—21no—
1250#117—21no—
1251#117—21no—
1252#117—21no—
1253#117—21no—
1254#117—21no—
1255#117—731no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117C22⋊D7311yescharacteristic
1260#117C22⋊D7311yescharacteristic
1261#117C22⋊D7311yescharacteristic
1262#117C22×D7311yescharacteristic
1263#117C22×D7311yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—21no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4C22×D7311yescharacteristic
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
1272C2×C22⋊C4—21no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—21no—
1278C2×C42—21no—
1279C2×C42—1461no—
1280C2×C42C22×D7311yescharacteristic
1281C2×C42C22×D7311yescharacteristic
1282C2×C42C22×D7311yescharacteristic
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106—731no—
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8—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#103—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—
1336#102—731no—
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8—731no—
1342C22⋊C8—731no—
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97—731no—
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—22no—
1358#41—42no—
1359#41—41no—
1360#41—41no—
1361#41—2921no—
1362#41—5842no—
1363#41—1462no—
1364C2×Q8—21no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8C2×C22⋊D7311yescharacteristic
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—2921no—
1378C2×D4—2921no—
1379C2×D4—2924no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—1462no—
1384C2×D4—1462no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1461no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4C2×C22⋊D7311yescharacteristic
1395C2×D4C2×C22⋊D7311yescharacteristic
1396C2×D4C2×C22⋊D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—21no—
1405C22×C4—21no—
1406C22×C4—21no—
1407C22×C4—21no—
1408C22×C4—44no—
1409C22×C4—5842no—
1410C22×C4—5842no—
1411C22×C4—1461no—
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×C4C2×C22⋊D7311yescharacteristic
1423C22×C4C2×C22⋊D7311yescharacteristic
1424C22×C4C2×C22⋊D7311yescharacteristic
1425C22×C4C2×C22⋊D7311yescharacteristic
1426C22×C4C2×C22⋊D7311yescharacteristic
1427C22×C4C2×C22⋊D7311yescharacteristic
1428C22×C4C23×D7311yescharacteristic
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—2921no—
1432Q16—1462no—
1433SD16—2921no—
1434SD16—2921no—
1435SD16—2921no—
1436SD16—2921no—
1437SD16—1462no—
1438SD16—1462no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—2921no—
1442D8—734no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8—1462no—
1447M16—2921no—
1448M16—1462no—
1449C2×C8—2921no—
1450C2×C8—2921no—
1451C2×C8—731no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8—731no—
1458C2×C8—731no—
1459C2×C8—1462no—
1460C2×C8—1462no—
1461C4⋊C4—21no—
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—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4C2×C22⋊D7311yescharacteristic
1493C4⋊C4C2×C22⋊D7311yescharacteristic
1494C4⋊C4C2×C22⋊D7311yescharacteristic
1495C4⋊C4C2×C22⋊D7311yescharacteristic
1496C4⋊C4C2×C22⋊D7311yescharacteristic
1497C4⋊C4C2×C22⋊D7311yescharacteristic
1498C4⋊C4C23×D7311yescharacteristic
1499C4⋊C4C23×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
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—21no—
1518C22⋊C4—21no—
1519C22⋊C4—21no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4C2×C22⋊D7311yescharacteristic
1540C22⋊C4C2×C22⋊D7311yescharacteristic
1541C22⋊C4C2×C22⋊D7311yescharacteristic
1542C22⋊C4C2×C22⋊D7311yescharacteristic
1543C22⋊C4C2×C22⋊D7311yescharacteristic
1544C22⋊C4C2×C22⋊D7311yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—21no—
1549C42—21no—
1550C42—21no—
1551C42—1461no—
1552C42—1461no—
1553C42—1461no—
1554C42C2×C22⋊D7311yescharacteristic
1555C42C2×C22⋊D7311yescharacteristic
1556C42C2×C22⋊D7311yescharacteristic
1557C42C2×C22⋊D7311yescharacteristic
1558C42C2×C22⋊D7311yescharacteristic
1559C42C2×C22⋊D7311yescharacteristic
1560C42C23×D7311yescharacteristic
1561C42C23×D7311yescharacteristic
1562C42C23×D7311yescharacteristic
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—42no—
1567C23—42no—
1568C23—81no—
1569C23—2922no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—5841no—
1574C23—5841no—
1575C23—1461no—
1576C23—1461no—
1577C23—1461no—
1578C23C22×C22⋊D7311yescharacteristic
1579C23C22×C22⋊D7311yescharacteristic
1580C23C22×C22⋊D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—41no—
1586Q8—81no—
1587Q8—5841no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—22no—
1591D4—22no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—41no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—81no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—5841no—
1608D4—5841no—
1609D4—5841no—
1610D4—732no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4—1461no—
1616D4#41×D7312yes—
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—42no—
1641C2×C4—42no—
1642C2×C4—81no—
1643C2×C4—81no—
1644C2×C4—2922no—
1645C2×C4—2922no—
1646C2×C4—2922no—
1647C2×C4—2922no—
1648C2×C4—2922no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—5841no—
1652C2×C4—5841no—
1653C2×C4—5841no—
1654C2×C4—5841no—
1655C2×C4—1461no—
1656C2×C4—1461no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
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×C4C22×C22⋊D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—732no—
1673C8—1461no—
1674C8—1461no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8—1461no—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—22no—
1687C22—21no—
1688C22—21no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—84no—
1695C22—2921no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—5844no—
1704C22—5844no—
1705C22—1462no—
1706C22#1798938512yes—
1707C22C23×C22⋊D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—21no—
1717C4—21no—
1718C4—21no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—41no—
1723C4—41no—
1724C4—41no—
1725C4—2921no—
1726C4—2921no—
1727C4—2921no—
1728C4—2921no—
1729C4—2921no—
1730C4C2×#41×D7311yescharacteristic
1731C4#1798942311yescharacteristic
1732C2—22no—
1733C2—41no—
1734C2—41no—
1735C2—42no—
1736C2—81no—
1737C2—2922no—
1738C2—5841no—
1739C2—5841no—
1740C2#41×C22⋊D7311yescharacteristic
1741C2C2×#1798938511yescharacteristic
1742C2#2262471011yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3475C2
socleC22×C73C23×D4
hypercenter#3475D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #22623541C2semidirect
2. #22622997C2semidirect
3. #22622885C2semidirect
4. #22622752C2semidirect
5. #22622684C2semidirect
6. #22622431C2semidirect
7. #22622386C2semidirect
8. #22622310C2semidirect
9. #22622081C2semidirect
10. #22622012C2semidirect
11. #22621946C2semidirect
12. #22621907C2semidirect
13. #22621781C2semidirect
14. #22621760C2semidirect
15. #22621612C2semidirect
16. #22621457C2semidirect
17. #22621412C2semidirect
18. #22620654C2semidirect
19. #22620634C2semidirect
20. #22620630C2semidirect
21. #22620082C2semidirect
22. #22620069C2semidirect
23. #22620065C2semidirect
24. #22620040C2semidirect
25. #22620034C2semidirect
26. #22620026C2semidirect
27. #22618945C2semidirect
28. C4×#14556616C2semidirect
29. #22618729C2semidirect
30. C2×#17988697C2semidirect
31. C73×#3475C2semidirect
35. #17989322C22semidirect
36. #17989297C22semidirect
39. #17989283C22semidirect
44. #17989233C22semidirect
47. #17989137C22semidirect
50. #17989121C22semidirect
53. C4×#11924028C22semidirect
55. C2×C4×D292C22semidirect
57. #17988997C22semidirect
58. #17988993C22semidirect
59. #17988986C22semidirect
60. #17988979C22semidirect
62. #17988969C22semidirect
63. #17988955C22semidirect
64. #17988953C22semidirect
65. #17988949C22semidirect
66. #17988946C22semidirect
67. #17988944C22semidirect
68. #17988941C22semidirect
69. #17988928C22semidirect
70. #17988925C22semidirect
71. #17988920C22semidirect
72. #17988920C22semidirect
73. #17988917C22semidirect
74. #17988915C22semidirect
75. #17988911C22semidirect
76. #17988911C22semidirect
77. #17988911C22semidirect
78. #17988908C22semidirect
80. #17988898C22semidirect
81. #17988894C22semidirect
82. #17988891C22semidirect
83. #17988887C22semidirect
84. #17988887C22semidirect
85. #17988887C22semidirect
86. #17988884C22semidirect
87. #17988884C22semidirect
88. #17988884C22semidirect
89. #17988872C22semidirect
90. #17988867C22semidirect
91. #17988864C22semidirect
92. #17988864C22semidirect
93. #17988843C22semidirect
95. #17988835C22semidirect
96. #17988831C22semidirect
97. #17988826C22semidirect
98. #17988826C22semidirect
99. #17988821C22semidirect
100. #17988821C22semidirect
103. #17988818C22semidirect
104. #17988818C22semidirect
105. #17988809C22semidirect
106. #17988806C22semidirect
107. #17988802C22semidirect
108. #17988802C22semidirect
109. #17988802C22semidirect
112. #17988799C22semidirect
113. #17988789C22semidirect
114. #17988789C22semidirect
115. #17988787C22semidirect
117. #17988749C22semidirect
118. #17988747C22semidirect
119. #17988738C22semidirect
122. #17988737C22semidirect
124. #17988732C22semidirect
125. #17988732C22semidirect
129. #17988718C22semidirect
130. #17988718C22semidirect
136. #17988697C22semidirect
137. #17988697C22semidirect
138. #17988697C22semidirect
139. #17988697C22semidirect
140. #17988697C22semidirect
141. #17988697C22semidirect
142. #17988692C22semidirect
143. #17988692C22semidirect
144. #17988692C22semidirect
145. #17988687C22semidirect
146. #17988687C22semidirect
147. #17988687C22semidirect
148. #17988685C22semidirect
149. #17988685C22semidirect
150. #17988685C22semidirect
151. #17988685C22semidirect
152. #17988685C22semidirect
153. #17988685C22semidirect
154. #17988685C22semidirect
155. C4×#11924015C22semidirect
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×#14556522C22semidirect
171. #17988591C22semidirect
172. #17988588C22semidirect
173. #17988583C22semidirect
174. #17988581C22semidirect
175. C2×#14556512C22semidirect
177. C4×#11924012C22semidirect
178. C2×#14556502C22semidirect
179. C2×#14556502C22semidirect
180. #556×C73C22semidirect
181. #555×C73C22semidirect
182. #554×C73C22semidirect
186. #552×C73C22semidirect
189. #547×C73C22semidirect
191. #546×C73C22semidirect
192. #533×C73C22semidirect
195. #529×C73C22semidirect
196. #529×C73C22semidirect
199. C4×#41×C73C22semidirect
200. C4×#41×C73C22semidirect
201. C2×C4×D4×C73C22semidirect
533. #11924013#41semidirect
873. #3475D73semidirect
903. C73#61454semidirect
908. #556C2×D73semidirect
909. #555C2×D73semidirect
912. #554C2×D73semidirect
919. #552C2×D73semidirect
924. #547C2×D73semidirect
929. #546C2×D73semidirect
931. #533C2×D73semidirect
938. #529C2×D73semidirect
939. #529C2×D73semidirect
945. C4×#41C2×D73semidirect
946. C4×#41C2×D73semidirect
950. C2×C4×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235412
#226229972
#226228852
#226227522
#226226842
#226224312
#226223862
#226223102
#226220812
#226220122
#226219462
#226219072
#226217812
#226217602
#226216122
#226214572
#226214122
#226206542
#226206342
#226206302
#226200822
#226200692
#226200652
#226200402
#226200342
#226200262
#226189452
C4×#145566162
#226187292
C2×#179886972
C73×#34752
#6145473