Finite Group Databasebeta

← #33976447

Subgroups — #33976447

Order 18688.

1680 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624437C211yesmaximal, characteristic, complemented
2#22622885C211yesmaximal, characteristic, complemented
3#22622885C211yesmaximal, characteristic, complemented
4#22622876C211yesmaximal, characteristic, complemented
5#22622876C211yesmaximal, characteristic, complemented
6#22622852C211yesmaximal, characteristic, complemented
7#22622826C211yesmaximal, characteristic, complemented
8#22622806C211yesmaximal, characteristic, complemented
9#22622794C211yesmaximal, characteristic, complemented
10#22622758C211yesmaximal, characteristic, complemented
11#22622758C211yesmaximal, characteristic, complemented
12#22622723C211yesmaximal, characteristic, complemented
13#22622684C211yesmaximal, characteristic, complemented
14#22622684C211yesmaximal, characteristic, complemented
15#22622649C211yesmaximal, characteristic, complemented
16#22622591C211yesmaximal, characteristic, complemented
17#22622580C211yesmaximal, characteristic, complemented
18#22621229C211yesmaximal, characteristic, complemented
19#22621214C211yesmaximal, characteristic, complemented
20#22621199C211yesmaximal, characteristic, complemented
21#22621184C211yesmaximal, characteristic, complemented
22#22621171C211yesmaximal, characteristic, complemented
23#22621110C211yesmaximal, characteristic, complemented
24#22620183C211yesmaximal, characteristic, complemented
25#22620174C211yesmaximal, characteristic
26#22620115C211yesmaximal, characteristic, complemented
27#22620115C211yesmaximal, characteristic, complemented
28#22620069C211yesmaximal, characteristic, complemented
29#22619978C211yesmaximal, characteristic, complemented
30#22619026C211yesmaximal, characteristic, complemented
31C73×#3501C211yesmaximal, characteristic, complemented
32#17989336—21no—
33#17989336—21no—
34#17989322C2211yescharacteristic, complemented
35#17989322C2211yescharacteristic, complemented
36#17989315C2211yescharacteristic, complemented
37#17989315C2211yescharacteristic, complemented
38#17989310C2211yescharacteristic, complemented
39#17989310C2211yescharacteristic, complemented
40#17989297C2211yescharacteristic, complemented
41#17989297C2211yescharacteristic, complemented
42#17989269—21no—
43#17989269—21no—
44#17989208C2211yescharacteristic
45#17989208C2211yescharacteristic
46#17989207—21no—
47#17989207—21no—
48#17989199C2211yescharacteristic
49#17989192C2211yescharacteristic
50#17989183—21no—
51#17989183—21no—
52#17989121C2211yescharacteristic
53#17989121C2211yescharacteristic
54#17988997C2211yescharacteristic, complemented
55#17988997C2211yescharacteristic, complemented
56#17988993C2211yescharacteristic, complemented
57#17988993C2211yescharacteristic, complemented
58#17988993C2211yescharacteristic, complemented
59#17988993C2211yescharacteristic, complemented
60#17988990C2211yescharacteristic, complemented
61#17988986C2211yescharacteristic, complemented
62#17988986C2211yescharacteristic, complemented
63#17988986C2211yescharacteristic, complemented
64#17988986C2211yescharacteristic, complemented
65#17988983C2211yescharacteristic, complemented
66#17988957C2211yescharacteristic, complemented
67#17988953C2211yescharacteristic, complemented
68#17988949C2211yescharacteristic, complemented
69#17988949C2211yescharacteristic, complemented
70#17988949C2211yescharacteristic, complemented
71#17988949C2211yescharacteristic, complemented
72#17988944C2211yescharacteristic, complemented
73#17988944C2211yescharacteristic, complemented
74#17988944C2211yescharacteristic, complemented
75#17988944C2211yescharacteristic, complemented
76#17988939C2211yescharacteristic, complemented
77#17988935C2211yescharacteristic, complemented
78#17988928C2211yescharacteristic
79#17988928C2211yescharacteristic
80#17988928C2211yescharacteristic
81#17988928C2211yescharacteristic
82#17988922C2211yescharacteristic
83#17988917C2211yescharacteristic
84#17988911C2211yescharacteristic
85#17988911C2211yescharacteristic
86#17988911C2211yescharacteristic
87#17988911C2211yescharacteristic
88#17988905C2211yescharacteristic
89#17988900C2211yescharacteristic
90#17988891C2211yescharacteristic, complemented
91#17988891C2211yescharacteristic, complemented
92#17988891C2211yescharacteristic, complemented
93#17988891C2211yescharacteristic, complemented
94#17988891C2211yescharacteristic, complemented
95#17988891C2211yescharacteristic, complemented
96#17988887C2211yescharacteristic
97#17988887C2211yescharacteristic
98#17988887C2211yescharacteristic
99#17988887C2211yescharacteristic
100#17988887C2211yescharacteristic
101#17988887C2211yescharacteristic
102#17988887C2211yescharacteristic
103#17988887C2211yescharacteristic
104#17988884C2211yescharacteristic, complemented
105#17988884C2211yescharacteristic, complemented
106#17988884C2211yescharacteristic, complemented
107#17988884C2211yescharacteristic, complemented
108#17988884C2211yescharacteristic, complemented
109#17988884C2211yescharacteristic, complemented
110#17988879C2211yescharacteristic, complemented
111#17988879C2211yescharacteristic, complemented
112#17988879C2211yescharacteristic, complemented
113#17988877C2211yescharacteristic
114#17988877C2211yescharacteristic
115#17988874C2211yescharacteristic, complemented
116#17988874C2211yescharacteristic, complemented
117#17988874C2211yescharacteristic, complemented
118#17988869C2211yescharacteristic, complemented
119#17988869C2211yescharacteristic, complemented
120#17988869C2211yescharacteristic, complemented
121#17988867C2211yescharacteristic
122#17988867C2211yescharacteristic
123#17988864C2211yescharacteristic, complemented
124#17988864C2211yescharacteristic, complemented
125#17988864C2211yescharacteristic, complemented
126#17988802C2211yescharacteristic
127#17988802C2211yescharacteristic
128#17988802C2211yescharacteristic
129#17988802C2211yescharacteristic
130#17988802C2211yescharacteristic
131#17988802C2211yescharacteristic
132#17988802C2211yescharacteristic
133#17988802C2211yescharacteristic
134#17988792C2211yescharacteristic
135#17988792C2211yescharacteristic
136#17988782C2211yescharacteristic
137#17988782C2211yescharacteristic
138#17988738C2211yescharacteristic
139#17988738C2211yescharacteristic
140#17988721C2211yescharacteristic
141#17988721C2211yescharacteristic
142#17988718C2211yescharacteristic, complemented
143#17988718C2211yescharacteristic, complemented
144#17988718C2211yescharacteristic, complemented
145#17988718C2211yescharacteristic, complemented
146#17988718C2211yescharacteristic, complemented
147#17988718C2211yescharacteristic, complemented
148Q8×#10596831C2211yescharacteristic, complemented
149Q8×#10596831C2211yescharacteristic, complemented
150#17988697C2211yescharacteristic
151#17988697C2211yescharacteristic
152#17988697C2211yescharacteristic
153#17988697C2211yescharacteristic
154#17988697C2211yescharacteristic
155#17988697C2211yescharacteristic
156#17988687C2211yescharacteristic
157#17988687C2211yescharacteristic
158#17988687C2211yescharacteristic
159#17988687C2211yescharacteristic
160#17988687C2211yescharacteristic
161#17988687C2211yescharacteristic
162C4×#11924016C2211yescharacteristic
163C4×#11924016C2211yescharacteristic
164C4×#11924016C2211yescharacteristic
165C4×#11924016C2211yescharacteristic
166C4×#11924016C2211yescharacteristic
167C4×#11924016C2211yescharacteristic
168C4×#11924013C2211yescharacteristic
169C4×#11924013C2211yescharacteristic
170C4×#11924013C2211yescharacteristic
171C4×#11924013C2211yescharacteristic
172C4×#11924013C2211yescharacteristic
173C4×#11924013C2211yescharacteristic
174#17988648C2211yescharacteristic
175#17988648C2211yescharacteristic
176#17988648C2211yescharacteristic
177#17988648C2211yescharacteristic
178#17988644C2211yescharacteristic
179#17988640C2211yescharacteristic
180#554×C73—21no—
181#554×C73—21no—
182#554×C73—21no—
183#554×C73C2211yescharacteristic
184#554×C73C2211yescharacteristic
185#554×C73C2211yescharacteristic
186#554×C73C2211yescharacteristic
187#554×C73C2211yescharacteristic
188#554×C73C2211yescharacteristic
189D4×Q8×C73—21no—
190D4×Q8×C73C2211yescharacteristic
191D4×Q8×C73C2211yescharacteristic
192#544×C73C2211yescharacteristic
193#544×C73C2211yescharacteristic
194#543×C73—21no—
195#543×C73—21no—
196#533×C73C2211yescharacteristic
197#533×C73C2211yescharacteristic
198C2×C22⋊Q8×C73—21no—
199C2×C22⋊Q8×C73—21no—
200#518×C73C2211yescharacteristic
201#518×C73C2211yescharacteristic
202C2×C4×D4×C73C2211yescharacteristic
203C2×#11924016C2311yescharacteristic
204C2×#11924016C2311yescharacteristic
205C2×#11924016C2311yescharacteristic
206C2×#11924016C2311yescharacteristic
207C2×#11924013C2311yescharacteristic
208C2×#11924013C2311yescharacteristic
209C2×#11924013C2311yescharacteristic
210C2×#11924013C2311yescharacteristic
211#14556591C2311yescharacteristic
212#14556591C2311yescharacteristic
213#14556591C2311yescharacteristic
214#14556589—21no—
215#14556589—21no—
216#14556588C2311yescharacteristic
217#14556586—21no—
218#14556586—21no—
219#14556586—21no—
220#14556586—21no—
221#14556586—21no—
222#14556586—21no—
223#14556585—21no—
224#14556585—21no—
225#14556584—21no—
226#14556584—21no—
227#14556583C2311yescharacteristic
228#14556583C2311yescharacteristic
229#14556583C2311yescharacteristic
230#14556583C2311yescharacteristic
231#14556581—21no—
232#14556581—21no—
233#14556581—21no—
234#14556581—21no—
235#14556581—21no—
236#14556581—21no—
237#14556580—21no—
238#14556580—21no—
239#14556579C2311yescharacteristic
240#14556579C2311yescharacteristic
241#14556579C2311yescharacteristic
242#14556579C2311yescharacteristic
243#14556577—21no—
244#14556577—21no—
245#14556576—21no—
246#14556576—21no—
247#14556576—21no—
248#14556576—21no—
249#14556576—21no—
250#14556576—21no—
251#14556574—21no—
252#14556574—21no—
253#14556573—21no—
254#14556573—21no—
255#14556570C2311yescharacteristic
256#14556570C2311yescharacteristic
257#14556569—21no—
258#14556569—21no—
259#14556569—21no—
260#14556569—21no—
261#14556569—21no—
262#14556569—21no—
263#14556567—21no—
264#14556567—21no—
265#14556567—21no—
266#14556567—21no—
267#14556565C2311yescharacteristic
268#14556565C2311yescharacteristic
269#14556564—21no—
270#14556564—21no—
271C4×Dic146C2311yescharacteristic
272C4×Dic146C2311yescharacteristic
273C4×Dic146C2311yescharacteristic
274C4×Dic146C2311yescharacteristic
275C4×Dic146C2311yescharacteristic
276C4×Dic146C2311yescharacteristic
277#14556556—21no—
278#14556556—21no—
279C4×D292C2311yescharacteristic
280C4×D292C2311yescharacteristic
281C4×D292C2311yescharacteristic
282C4×D292C2311yescharacteristic
283C4×D292C2311yescharacteristic
284C4×D292C2311yescharacteristic
285#14556553—21no—
286#14556553—21no—
287C4×C22⋊D73—21no—
288C4×C22⋊D73—21no—
289#14556549—21no—
290#14556549—21no—
291#14556548—21no—
292#14556548—21no—
293C4⋊C4×D73—21no—
294C4⋊C4×D73—21no—
295#14556524C2311yescharacteristic
296#14556524C2311yescharacteristic
297#14556524C2311yescharacteristic
298#14556524C2311yescharacteristic
299#14556524C2311yescharacteristic
300#14556524C2311yescharacteristic
301#14556524C2311yescharacteristic
302#14556524C2311yescharacteristic
303#14556524C2311yescharacteristic
304#14556524C2311yescharacteristic
305#14556524C2311yescharacteristic
306#14556524C2311yescharacteristic
307#14556522C2311yescharacteristic
308#14556522C2311yescharacteristic
309#14556522C2311yescharacteristic
310#14556522C2311yescharacteristic
311#14556522C2311yescharacteristic
312#14556522C2311yescharacteristic
313#14556522C2311yescharacteristic
314#14556522C2311yescharacteristic
315#14556522C2311yescharacteristic
316#14556522C2311yescharacteristic
317#14556522C2311yescharacteristic
318#14556522C2311yescharacteristic
319C4⋊#10596831C2311yescharacteristic
320C4⋊#10596831C2311yescharacteristic
321C4⋊#10596831C2311yescharacteristic
322C4⋊#10596831C2311yescharacteristic
323C4⋊#10596831C2311yescharacteristic
324C4⋊#10596831C2311yescharacteristic
325C4⋊#10596831C2311yescharacteristic
326C4⋊#10596831C2311yescharacteristic
327C4⋊#10596831C2311yescharacteristic
328C4⋊#10596831C2311yescharacteristic
329C4⋊#10596831C2311yescharacteristic
330C4⋊#10596831C2311yescharacteristic
331#14556514C2311yescharacteristic
332#14556514C2311yescharacteristic
333#14556514C2311yescharacteristic
334#14556514C2311yescharacteristic
335#14556514C2311yescharacteristic
336#14556514C2311yescharacteristic
337#14556514C2311yescharacteristic
338#14556514C2311yescharacteristic
339#14556514C2311yescharacteristic
340#14556514C2311yescharacteristic
341#14556514C2311yescharacteristic
342#14556514C2311yescharacteristic
343#14556512C2311yescharacteristic
344#14556512C2311yescharacteristic
345#14556512C2311yescharacteristic
346#14556512C2311yescharacteristic
347#14556512C2311yescharacteristic
348#14556512C2311yescharacteristic
349#14556512C2311yescharacteristic
350#14556512C2311yescharacteristic
351#14556511C2311yescharacteristic
352#14556511C2311yescharacteristic
353#14556511C2311yescharacteristic
354#14556511C2311yescharacteristic
355#14556511C2311yescharacteristic
356#14556511C2311yescharacteristic
357#14556511C2311yescharacteristic
358#14556511C2311yescharacteristic
359#14556511C2311yescharacteristic
360#14556511C2311yescharacteristic
361#14556511C2311yescharacteristic
362#14556511C2311yescharacteristic
363C22⋊#10596831C2311yescharacteristic
364C22⋊#10596831C2311yescharacteristic
365C22⋊#10596831C2311yescharacteristic
366C22⋊#10596831C2311yescharacteristic
367#14556502C2311yescharacteristic
368#14556502C2311yescharacteristic
369#14556502C2311yescharacteristic
370#14556502C2311yescharacteristic
371#14556502C2311yescharacteristic
372#14556502C2311yescharacteristic
373C4×#10596831C2311yescharacteristic
374C4×#10596831C2311yescharacteristic
375C4×#10596831C2311yescharacteristic
376C4×#10596831C2311yescharacteristic
377C4×#10596831C2311yescharacteristic
378C4×#10596831C2311yescharacteristic
379C22×Q8×C73—21no—
380C22×Q8×C73—21no—
381C22×D4×C73C2311yescharacteristic
382C23×C4×C73—21no—
383C4⋊Q8×C73—21no—
384C4⋊Q8×C73—21no—
385C4⋊Q8×C73D411yescharacteristic
386C4⋊Q8×C73D411yescharacteristic
387C4⋊Q8×C73C2311yescharacteristic
388C4⋊Q8×C73C2311yescharacteristic
389C4⋊Q8×C73C2311yescharacteristic
390C4⋊Q8×C73C2311yescharacteristic
391C4⋊Q8×C73C2311yescharacteristic
392C4⋊Q8×C73C2311yescharacteristic
393#125×C73—21no—
394#125×C73—21no—
395#125×C73D411yescharacteristic
396#125×C73D411yescharacteristic
397#125×C73C2311yescharacteristic
398#125×C73C2311yescharacteristic
399#125×C73C2311yescharacteristic
400#125×C73C2311yescharacteristic
401#125×C73C2311yescharacteristic
402#125×C73C2311yescharacteristic
403C22⋊Q8×C73—21no—
404C22⋊Q8×C73—21no—
405C22⋊Q8×C73—21no—
406C22⋊Q8×C73—21no—
407C22⋊Q8×C73—21no—
408C22⋊Q8×C73—21no—
409C22⋊Q8×C73—21no—
410C22⋊Q8×C73—21no—
411C22⋊Q8×C73—21no—
412C22⋊Q8×C73—21no—
413C22⋊Q8×C73—21no—
414C22⋊Q8×C73—21no—
415C22⋊Q8×C73—21no—
416C22⋊Q8×C73—21no—
417C22⋊Q8×C73—21no—
418C22⋊Q8×C73—21no—
419C22⋊Q8×C73—21no—
420C22⋊Q8×C73—21no—
421C22⋊Q8×C73—21no—
422C22⋊Q8×C73—21no—
423C22⋊Q8×C73—21no—
424C22⋊Q8×C73—21no—
425C22⋊Q8×C73—21no—
426C22⋊Q8×C73—21no—
427C22⋊Q8×C73—21no—
428C22⋊Q8×C73—21no—
429C22⋊Q8×C73—21no—
430C22⋊Q8×C73—21no—
431C22⋊Q8×C73—21no—
432C22⋊Q8×C73—21no—
433C22⋊Q8×C73D411yescharacteristic
434C22⋊Q8×C73D411yescharacteristic
435C22⋊Q8×C73D411yescharacteristic
436C22⋊Q8×C73D411yescharacteristic
437C4×Q8×C73—21no—
438C4×Q8×C73—21no—
439C4×Q8×C73C2311yescharacteristic
440C4×Q8×C73C2311yescharacteristic
441C4×Q8×C73C2311yescharacteristic
442C4×Q8×C73C2311yescharacteristic
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×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C4×D4×C73C2311yescharacteristic
461#117×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463#117×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465C2×C4⋊C4×C73—21no—
466C2×C4⋊C4×C73—21no—
467C2×C4⋊C4×C73—21no—
468C2×C4⋊C4×C73—21no—
469C2×C4⋊C4×C73—21no—
470C2×C4⋊C4×C73—21no—
471C2×C4⋊C4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473C2×C22⋊C4×C73—21no—
474C2×C22⋊C4×C73—21no—
475C2×C22⋊C4×C73—21no—
476C2×C22⋊C4×C73—21no—
477C2×C42×C73C2311yescharacteristic
478C2×Dic146—21no—
479C2×Dic146—21no—
480C2×Dic146C2411yescharacteristic
481C2×Dic146C2411yescharacteristic
482C2×D292—21no—
483C2×D292—21no—
484C2×D292C2411yescharacteristic
485C2×D292C2411yescharacteristic
486C2×C22⋊D73—21no—
487C2×C22⋊D73—21no—
488C2×C4×D73—21no—
489C2×C4×D73—21no—
490C2×C4×D73—21no—
491C2×C4×D73—21no—
492C2×C4×D73—21no—
493C2×C4×D73—21no—
494#11924016—22no—
495#11924016—22no—
496#11924016—22no—
497#11924016—22no—
498#11924013—22no—
499#11924013—22no—
500#11924013—22no—
501#11924013—22no—
502C2×#10596831C2411yescharacteristic
503C2×#10596831C2411yescharacteristic
504C2×#10596831C2411yescharacteristic
505C2×#10596831C2411yescharacteristic
506C2×#10596831C2411yescharacteristic
507C2×#10596831C2411yescharacteristic
508C2×#10596831C2411yescharacteristic
509C2×#10596831C2411yescharacteristic
510C4⋊Dic73—21no—
511C4⋊Dic73—21no—
512C4⋊Dic73—21no—
513C4⋊Dic73—21no—
514C4⋊Dic73C2411yescharacteristic
515C4⋊Dic73C2411yescharacteristic
516C4⋊Dic73C2411yescharacteristic
517C4⋊Dic73C2411yescharacteristic
518#11924007—21no—
519#11924007—21no—
520#11924007—21no—
521#11924007—21no—
522#11924007—21no—
523#11924007—21no—
524#11924007—21no—
525#11924007—21no—
526#11924007—21no—
527#11924007—21no—
528#11924007—21no—
529#11924007—21no—
530#11924007—21no—
531#11924007—21no—
532#11924007—21no—
533#11924007—21no—
534C22⋊Dic73—21no—
535C22⋊Dic73—21no—
536#11924005—21no—
537#11924005—21no—
538#11924005—21no—
539#11924005—21no—
540#11924005—21no—
541#11924005—21no—
542#11924005—21no—
543#11924005—21no—
544#11924005—21no—
545#11924005—21no—
546#11924005—21no—
547#11924005—21no—
548#11924005—21no—
549#11924005—21no—
550#11924005—21no—
551#11924005—21no—
552C4×Dic73—21no—
553C4×Dic73—21no—
554C4×Dic73—21no—
555C4×Dic73—21no—
556C4×Dic73—21no—
557C4×Dic73—21no—
558C24×C73—21no—
559C2×Q8×C73—21no—
560C2×Q8×C73—21no—
561C2×Q8×C73—21no—
562C2×Q8×C73—21no—
563C2×Q8×C73—21no—
564C2×Q8×C73—21no—
565C2×Q8×C73—82no—
566C2×Q8×C73—82no—
567C2×Q8×C73C2×D411yescharacteristic
568C2×Q8×C73C2×D411yescharacteristic
569C2×Q8×C73C2×D411yescharacteristic
570C2×Q8×C73C2×D411yescharacteristic
571C2×D4×C73—22no—
572C2×D4×C73—22no—
573C2×D4×C73—21no—
574C2×D4×C73C2411yescharacteristic
575C2×D4×C73C2411yescharacteristic
576C22×C4×C73—21no—
577C22×C4×C73—21no—
578C22×C4×C73—21no—
579C22×C4×C73—21no—
580C22×C4×C73—21no—
581C22×C4×C73—21no—
582C22×C4×C73—21no—
583C22×C4×C73—21no—
584C22×C4×C73—21no—
585C22×C4×C73—21no—
586C22×C4×C73—21no—
587C22×C4×C73—21no—
588C22×C4×C73—21no—
589C22×C4×C73—82no—
590C22×C4×C73C2×D411yescharacteristic
591C22×C4×C73C2×D411yescharacteristic
592C22×C4×C73C2411yescharacteristic
593C4⋊C4×C73—21no—
594C4⋊C4×C73—21no—
595C4⋊C4×C73—21no—
596C4⋊C4×C73—21no—
597C4⋊C4×C73—21no—
598C4⋊C4×C73—21no—
599C4⋊C4×C73—21no—
600C4⋊C4×C73—21no—
601C4⋊C4×C73—21no—
602C4⋊C4×C73—21no—
603C4⋊C4×C73—21no—
604C4⋊C4×C73—21no—
605C4⋊C4×C73—21no—
606C4⋊C4×C73—21no—
607C4⋊C4×C73—21no—
608C4⋊C4×C73—21no—
609C4⋊C4×C73—21no—
610C4⋊C4×C73—21no—
611C4⋊C4×C73—21no—
612C4⋊C4×C73C2×D411yescharacteristic
613C4⋊C4×C73C2×D411yescharacteristic
614C4⋊C4×C73C2×D411yescharacteristic
615C4⋊C4×C73C2×D411yescharacteristic
616C4⋊C4×C73C2×D411yescharacteristic
617C4⋊C4×C73C2×D411yescharacteristic
618C4⋊C4×C73C2×D411yescharacteristic
619C4⋊C4×C73C2×D411yescharacteristic
620C4⋊C4×C73C2×D411yescharacteristic
621C4⋊C4×C73C2×D411yescharacteristic
622C4⋊C4×C73C2×D411yescharacteristic
623C4⋊C4×C73C2×D411yescharacteristic
624C4⋊C4×C73C2×D411yescharacteristic
625C4⋊C4×C73C2×D411yescharacteristic
626C4⋊C4×C73C2×D411yescharacteristic
627C4⋊C4×C73C2×D411yescharacteristic
628C4⋊C4×C73C2411yescharacteristic
629C4⋊C4×C73C2411yescharacteristic
630C4⋊C4×C73C2411yescharacteristic
631C4⋊C4×C73C2411yescharacteristic
632C4⋊C4×C73C2411yescharacteristic
633C4⋊C4×C73C2411yescharacteristic
634C22⋊C4×C73—21no—
635C22⋊C4×C73—21no—
636C22⋊C4×C73—21no—
637C22⋊C4×C73—21no—
638C22⋊C4×C73—21no—
639C22⋊C4×C73—21no—
640C22⋊C4×C73—21no—
641C22⋊C4×C73—21no—
642C22⋊C4×C73—21no—
643C22⋊C4×C73—21no—
644C22⋊C4×C73—21no—
645C22⋊C4×C73—21no—
646C22⋊C4×C73—21no—
647C22⋊C4×C73—21no—
648C22⋊C4×C73C2×D411yescharacteristic
649C22⋊C4×C73C2×D411yescharacteristic
650C22⋊C4×C73C2×D411yescharacteristic
651C22⋊C4×C73C2×D411yescharacteristic
652C42×C73—21no—
653C42×C73—21no—
654C42×C73C2×D411yescharacteristic
655C42×C73C2×D411yescharacteristic
656C42×C73C2411yescharacteristic
657C42×C73C2411yescharacteristic
658C42×C73C2411yescharacteristic
659C42×C73C2411yescharacteristic
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—24no—
663C23×C73—21no—
664C23×C73—21no—
665C23×C73—81no—
666C23×C73—81no—
667C23×C73C22×D411yescharacteristic
668C22×D73—21no—
669C22×D73—21no—
670Q8×C73—41no—
671Q8×C73—41no—
672Q8×C73—41no—
673Q8×C73—41no—
674Q8×C73—42no—
675Q8×C73—81no—
676Q8×C73—81no—
677Q8×C73—81no—
678Q8×C73—81no—
679Q8×C73—81no—
680D4×C73—24no—
681D4×C73—21no—
682D4×C73—21no—
683D4×C732−1+412yes—
684D4×C732−1+412yes—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—21no—
688C2×C4×C73—21no—
689C2×C4×C73—21no—
690C2×C4×C73—21no—
691C2×C4×C73—21no—
692C2×C4×C73—21no—
693C2×C4×C73—41no—
694C2×C4×C73—41no—
695C2×C4×C73—42no—
696C2×C4×C73—42no—
697C2×C4×C73—81no—
698C2×C4×C73—81no—
699C2×C4×C73—81no—
700C2×C4×C73—81no—
701C2×C4×C73—81no—
702C2×C4×C73—81no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C22×D411yescharacteristic
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C22×D411yescharacteristic
718C2×C4×C73C22×D411yescharacteristic
719C2×C4×C73C22×D411yescharacteristic
720C2×C4×C73C22×D411yescharacteristic
721C2×C4×C73C2511yescharacteristic
722C22⋊D73—81no—
723C22⋊D73—81no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730D292—21no—
731D292—21no—
732D292—21no—
733D292—21no—
734D292—81no—
735D292—81no—
736C4×D73—81no—
737C4×D73—81no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742Dic146—21no—
743Dic146—21no—
744Dic146—21no—
745Dic146—21no—
746Dic146—81no—
747Dic146—81no—
748#10596831—21no—
749#10596831—21no—
750#10596831—21no—
751#10596831—21no—
752#10596831—21no—
753#10596831—21no—
754#10596831—21no—
755#10596831—21no—
756C22×C73—21no—
757C22×C73—21no—
758C22×C73—21no—
759C22×C73—22no—
760C22×C73—22no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73—41no—
764C22×C73—41no—
765C22×C73—84no—
766C22×C73C23×D411yescharacteristic
767C2×D73—41no—
768C2×D73—41no—
769C2×D73—41no—
770C2×D73—41no—
771C2×D73—41no—
772C2×D73—41no—
773C4×C73—21no—
774C4×C73—21no—
775C4×C73—21no—
776C4×C73—21no—
777C4×C73—21no—
778C4×C73—21no—
779C4×C73—21no—
780C4×C73—21no—
781C4×C73—21no—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—41no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73C2×2−1+411yescharacteristic
793C4×C73C2×2−1+411yescharacteristic
794Dic73—41no—
795Dic73—41no—
796Dic73—41no—
797Dic73—41no—
798Dic73—41no—
799Dic73—41no—
800#61855—731nomaximal, Sylow
801C2×C73—41no—
802C2×C73—42no—
803C2×C73—42no—
804C2×C73#348611yescharacteristic
805C2×C73#358411yescharacteristic
806C2×C73#358511yescharacteristic
807D73—81no—
808D73—81no—
809#3557—731no—
810#3501D7311yescharacteristic, complemented
811#3389—731no—
812#3389—731no—
813#3388—731no—
814#3388—731no—
815#3386—731no—
816#3384—731no—
817#3381—731no—
818#3380—731no—
819#3376—731no—
820#3376—731no—
821#3373—731no—
822#3370—731no—
823#3370—731no—
824#3367—731no—
825#3361—731no—
826#3360—731no—
827#3244—731no—
828#3243—731no—
829#3242—731no—
830#3241—731no—
831#3240—731no—
832#3233—731no—
833#3123—731no—
834#3122—731no—
835#3118—731no—
836#3118—731no—
837#3114—731no—
838#3105—731no—
839#2985—731no—
840C73#6185511yescharacteristic, complemented, Sylow
841#563—1461no—
842#563—1461no—
843#559—731no—
844#559—731no—
845#557—731no—
846#557—731no—
847#556—731no—
848#556—731no—
849#554—21no—
850#554—21no—
851#554—21no—
852#554—731no—
853#554—731no—
854#554C2×D7311yescharacteristic
855#554C2×D7311yescharacteristic
856#554C2×D7311yescharacteristic
857#554C2×D7311yescharacteristic
858#554C2×D7311yescharacteristic
859#554C2×D7311yescharacteristic
860#552—1461no—
861#552—1461no—
862D4×Q8—21no—
863D4×Q8C2×D7311yescharacteristic
864D4×Q8C2×D7311yescharacteristic
865#544C2×D7311yescharacteristic
866#544C2×D7311yescharacteristic
867#543—21no—
868#543—21no—
869#542—731no—
870#542—731no—
871#542—1461no—
872#542—1461no—
873#541—731no—
874#540—731no—
875#539—1461no—
876#539—1461no—
877#533C2×D7311yescharacteristic
878#533C2×D7311yescharacteristic
879#529—731no—
880#529—731no—
881C2×C22⋊Q8—21no—
882C2×C22⋊Q8—21no—
883#518C2×D7311yescharacteristic
884#518C2×D7311yescharacteristic
885C2×C4×D4C2×D7311yescharacteristic
886#501—731no—
887#501—731no—
888#501—731no—
889#501—731no—
890#501—731no—
891#501—731no—
892#500—731no—
893#499—731no—
894#499—731no—
895#499—731no—
896#499—731no—
897#498—731no—
898#491—731no—
899#490—731no—
900#489—731no—
901#489—731no—
902#489—731no—
903#489—731no—
904#488—731no—
905#488—731no—
906#488—731no—
907#488—731no—
908#487—731no—
909#486—731no—
910#485—731no—
911#485—731no—
912#485—731no—
913#485—731no—
914#484—731no—
915#483—731no—
916#482—731no—
917#482—731no—
918#482—731no—
919#482—731no—
920#481—731no—
921#480—731no—
922#479—731no—
923#479—731no—
924#479—731no—
925#479—731no—
926#479—731no—
927#479—731no—
928#478—731no—
929#478—731no—
930#478—731no—
931#478—731no—
932#478—731no—
933#478—731no—
934#478—731no—
935#478—731no—
936#478—731no—
937#478—731no—
938#478—731no—
939#478—731no—
940#478—731no—
941#478—731no—
942#477—731no—
943#477—731no—
944#477—731no—
945#476—731no—
946#476—731no—
947#476—731no—
948#476—731no—
949#476—731no—
950#475—731no—
951#475—731no—
952#475—731no—
953#474—731no—
954#474—731no—
955#474—731no—
956#474—731no—
957#474—731no—
958#463—731no—
959#463—731no—
960#463—731no—
961#463—731no—
962#463—731no—
963#463—731no—
964#463—731no—
965#463—731no—
966#461—731no—
967#461—731no—
968#459—731no—
969#459—731no—
970#450—731no—
971#450—731no—
972#447—731no—
973#447—731no—
974#446—731no—
975#446—731no—
976#446—731no—
977#446—731no—
978#446—731no—
979#446—731no—
980C8×Q8—731no—
981C8×Q8—731no—
982#442—731no—
983#442—731no—
984#442—731no—
985#442—731no—
986#442—731no—
987#442—731no—
988#440—731no—
989#440—731no—
990#440—731no—
991#440—731no—
992#440—731no—
993#440—731no—
994C4×SD16—731no—
995C4×SD16—731no—
996C4×SD16—731no—
997C4×SD16—731no—
998C4×SD16—731no—
999C4×SD16—731no—
1000C4×D8—731no—
1001C4×D8—731no—
1002C4×D8—731no—
1003C4×D8—731no—
1004C4×D8—731no—
1005C4×D8—731no—
1006#433—731no—
1007#433—731no—
1008#433—731no—
1009#433—731no—
1010#432—731no—
1011#431—731no—
1012C22×Q8—21no—
1013C22×Q8—21no—
1014C22×D4C22×D7311yescharacteristic
1015C23×C4—21no—
1016C2×SD16—731no—
1017C2×SD16—731no—
1018C2×SD16—731no—
1019C2×SD16—731no—
1020C2×D8—731no—
1021C2×D8—731no—
1022C2×D8—731no—
1023C2×D8—731no—
1024C4⋊Q8—21no—
1025C4⋊Q8—21no—
1026C4⋊Q8—731no—
1027C4⋊Q8—731no—
1028C4⋊Q8—731no—
1029C4⋊Q8—1461no—
1030C4⋊Q8—1461no—
1031C4⋊Q8C22⋊D7311yescharacteristic
1032C4⋊Q8C22⋊D7311yescharacteristic
1033C4⋊Q8C22×D7311yescharacteristic
1034C4⋊Q8C22×D7311yescharacteristic
1035C4⋊Q8C22×D7311yescharacteristic
1036C4⋊Q8C22×D7311yescharacteristic
1037C4⋊Q8C22×D7311yescharacteristic
1038C4⋊Q8C22×D7311yescharacteristic
1039#127—731no—
1040#126—1461no—
1041#126—1461no—
1042#126—1461no—
1043#126—1461no—
1044#126—1461no—
1045#126—1461no—
1046#126—1461no—
1047#126—1461no—
1048#126—1461no—
1049#126—1461no—
1050#125—21no—
1051#125—21no—
1052#125—731no—
1053#125—731no—
1054#125—731no—
1055#125—731no—
1056#125—1461no—
1057#125—1461no—
1058#125—1461no—
1059#125—1461no—
1060#125—1461no—
1061#125—1461no—
1062#125C22⋊D7311yescharacteristic
1063#125C22⋊D7311yescharacteristic
1064#125C22×D7311yescharacteristic
1065#125C22×D7311yescharacteristic
1066#125C22×D7311yescharacteristic
1067#125C22×D7311yescharacteristic
1068#125C22×D7311yescharacteristic
1069#125C22×D7311yescharacteristic
1070#124—731no—
1071#124—731no—
1072#124—731no—
1073#124—731no—
1074#124—1461no—
1075#124—1461no—
1076#124—1461no—
1077#124—1461no—
1078#123—1461no—
1079#123—1461no—
1080#123—1461no—
1081#123—1461no—
1082#123—1461no—
1083#123—1461no—
1084#123—1461no—
1085#123—1461no—
1086#123—1461no—
1087#123—1461no—
1088C22⋊Q8—21no—
1089C22⋊Q8—21no—
1090C22⋊Q8—21no—
1091C22⋊Q8—21no—
1092C22⋊Q8—21no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—21no—
1096C22⋊Q8—21no—
1097C22⋊Q8—21no—
1098C22⋊Q8—21no—
1099C22⋊Q8—21no—
1100C22⋊Q8—21no—
1101C22⋊Q8—21no—
1102C22⋊Q8—21no—
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—21no—
1114C22⋊Q8—21no—
1115C22⋊Q8—21no—
1116C22⋊Q8—21no—
1117C22⋊Q8—21no—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—1461no—
1121C22⋊Q8—1461no—
1122C22⋊Q8—1461no—
1123C22⋊Q8—1461no—
1124C22⋊Q8—1461no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8C22⋊D7311yescharacteristic
1131C22⋊Q8C22⋊D7311yescharacteristic
1132C22⋊Q8C22⋊D7311yescharacteristic
1133C22⋊Q8C22⋊D7311yescharacteristic
1134#121—731no—
1135#121—731no—
1136#121—1461no—
1137#121—1461no—
1138C4×Q8—21no—
1139C4×Q8—21no—
1140C4×Q8—731no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—731no—
1144C4×Q8—731no—
1145C4×Q8—731no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8C22×D7311yescharacteristic
1149C4×Q8C22×D7311yescharacteristic
1150C4×Q8C22×D7311yescharacteristic
1151C4×Q8C22×D7311yescharacteristic
1152C4×D4—21no—
1153C4×D4—21no—
1154C4×D4—21no—
1155C4×D4—21no—
1156C4×D4—21no—
1157C4×D4—21no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—731no—
1162C4×D4—731no—
1163C4×D4—731no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4C22×D7311yescharacteristic
1169C4×D4C22×D7311yescharacteristic
1170C4×D4C22×D7311yescharacteristic
1171C4×D4C22×D7311yescharacteristic
1172C4×D4C22×D7311yescharacteristic
1173C4×D4C22×D7311yescharacteristic
1174C4×D4C22×D7311yescharacteristic
1175C4×D4C22×D7311yescharacteristic
1176C4×D4C22×D7311yescharacteristic
1177C4×D4C22×D7311yescharacteristic
1178C4×D4C22×D7311yescharacteristic
1179C4×D4C22×D7311yescharacteristic
1180#117—1461no—
1181#117—1461no—
1182#117—1461no—
1183#117—1461no—
1184#117C22×D7311yescharacteristic
1185#117C22×D7311yescharacteristic
1186#117C22×D7311yescharacteristic
1187#117C22×D7311yescharacteristic
1188C2×C4⋊C4—21no—
1189C2×C4⋊C4—21no—
1190C2×C4⋊C4—21no—
1191C2×C4⋊C4—21no—
1192C2×C4⋊C4—21no—
1193C2×C4⋊C4—21no—
1194C2×C4⋊C4—1461no—
1195C2×C4⋊C4—1461no—
1196C2×C4⋊C4C22×D7311yescharacteristic
1197C2×C22⋊C4—21no—
1198C2×C22⋊C4—21no—
1199C2×C22⋊C4—21no—
1200C2×C22⋊C4—21no—
1201C2×C22⋊C4—21no—
1202C2×C42C22×D7311yescharacteristic
1203#107—731no—
1204#107—731no—
1205#107—731no—
1206#107—731no—
1207#107—731no—
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#106—731no—
1216#106—731no—
1217#106—731no—
1218#106—731no—
1219#106—731no—
1220#106—731no—
1221#106—731no—
1222#106—731no—
1223#106—731no—
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227C4⋊C8—731no—
1228C4⋊C8—731no—
1229C4⋊C8—731no—
1230C4⋊C8—731no—
1231C4⋊C8—731no—
1232C4⋊C8—731no—
1233C4⋊C8—731no—
1234C4⋊C8—731no—
1235C4⋊C8—731no—
1236C4⋊C8—731no—
1237C4⋊C8—731no—
1238C4⋊C8—731no—
1239#103—731no—
1240#103—731no—
1241#103—731no—
1242#103—731no—
1243#103—731no—
1244#103—731no—
1245#103—731no—
1246#103—731no—
1247#103—731no—
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#102—731no—
1252#102—731no—
1253#102—731no—
1254#102—731no—
1255#102—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271C22⋊C8—731no—
1272C22⋊C8—731no—
1273C22⋊C8—731no—
1274C22⋊C8—731no—
1275#97—731no—
1276#97—731no—
1277#97—731no—
1278#97—731no—
1279#97—731no—
1280#97—731no—
1281C4×C8—731no—
1282C4×C8—731no—
1283C4×C8—731no—
1284C4×C8—731no—
1285C4×C8—731no—
1286C4×C8—731no—
1287C24—21no—
1288C2×Q8—21no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—21no—
1292C2×Q8—21no—
1293C2×Q8—21no—
1294C2×Q8—82no—
1295C2×Q8—82no—
1296C2×Q8—731no—
1297C2×Q8—731no—
1298C2×Q8—1461no—
1299C2×Q8—1461no—
1300C2×Q8C2×C22⋊D7311yescharacteristic
1301C2×Q8C2×C22⋊D7311yescharacteristic
1302C2×Q8C2×C22⋊D7311yescharacteristic
1303C2×Q8C2×C22⋊D7311yescharacteristic
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—21no—
1307C2×D4—731no—
1308C2×D4—731no—
1309C2×D4—1461no—
1310C2×D4—1461no—
1311C2×D4—1461no—
1312C2×D4—1461no—
1313C2×D4C23×D7311yescharacteristic
1314C2×D4C23×D7311yescharacteristic
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—21no—
1320C22×C4—21no—
1321C22×C4—21no—
1322C22×C4—21no—
1323C22×C4—21no—
1324C22×C4—21no—
1325C22×C4—21no—
1326C22×C4—21no—
1327C22×C4—21no—
1328C22×C4—82no—
1329C22×C4—1461no—
1330C22×C4—1461no—
1331C22×C4—1461no—
1332C22×C4—1461no—
1333C22×C4—1461no—
1334C22×C4—1461no—
1335C22×C4C2×C22⋊D7311yescharacteristic
1336C22×C4C2×C22⋊D7311yescharacteristic
1337C22×C4C23×D7311yescharacteristic
1338SD16—1462no—
1339SD16—1462no—
1340SD16—1462no—
1341SD16—1462no—
1342D8—1462no—
1343D8—1462no—
1344D8—1462no—
1345D8—1462no—
1346C2×C8—731no—
1347C2×C8—731no—
1348C2×C8—731no—
1349C2×C8—731no—
1350C2×C8—731no—
1351C2×C8—731no—
1352C2×C8—731no—
1353C2×C8—731no—
1354C4⋊C4—21no—
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—21no—
1366C4⋊C4—21no—
1367C4⋊C4—21no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—731no—
1374C4⋊C4—731no—
1375C4⋊C4—731no—
1376C4⋊C4—731no—
1377C4⋊C4—1461no—
1378C4⋊C4—1461no—
1379C4⋊C4—1461no—
1380C4⋊C4—1461no—
1381C4⋊C4—1461no—
1382C4⋊C4—1461no—
1383C4⋊C4—1461no—
1384C4⋊C4—1461no—
1385C4⋊C4—1461no—
1386C4⋊C4—1461no—
1387C4⋊C4—1461no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4C2×C22⋊D7311yescharacteristic
1398C4⋊C4C2×C22⋊D7311yescharacteristic
1399C4⋊C4C2×C22⋊D7311yescharacteristic
1400C4⋊C4C2×C22⋊D7311yescharacteristic
1401C4⋊C4C2×C22⋊D7311yescharacteristic
1402C4⋊C4C2×C22⋊D7311yescharacteristic
1403C4⋊C4C2×C22⋊D7311yescharacteristic
1404C4⋊C4C2×C22⋊D7311yescharacteristic
1405C4⋊C4C2×C22⋊D7311yescharacteristic
1406C4⋊C4C2×C22⋊D7311yescharacteristic
1407C4⋊C4C2×C22⋊D7311yescharacteristic
1408C4⋊C4C2×C22⋊D7311yescharacteristic
1409C4⋊C4C2×C22⋊D7311yescharacteristic
1410C4⋊C4C2×C22⋊D7311yescharacteristic
1411C4⋊C4C2×C22⋊D7311yescharacteristic
1412C4⋊C4C2×C22⋊D7311yescharacteristic
1413C4⋊C4C23×D7311yescharacteristic
1414C4⋊C4C23×D7311yescharacteristic
1415C4⋊C4C23×D7311yescharacteristic
1416C4⋊C4C23×D7311yescharacteristic
1417C4⋊C4C23×D7311yescharacteristic
1418C4⋊C4C23×D7311yescharacteristic
1419C22⋊C4—21no—
1420C22⋊C4—21no—
1421C22⋊C4—21no—
1422C22⋊C4—21no—
1423C22⋊C4—21no—
1424C22⋊C4—21no—
1425C22⋊C4—21no—
1426C22⋊C4—21no—
1427C22⋊C4—21no—
1428C22⋊C4—21no—
1429C22⋊C4—21no—
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—1461no—
1434C22⋊C4—1461no—
1435C22⋊C4—1461no—
1436C22⋊C4—1461no—
1437C22⋊C4—1461no—
1438C22⋊C4—1461no—
1439C22⋊C4—1461no—
1440C22⋊C4—1461no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4C2×C22⋊D7311yescharacteristic
1452C22⋊C4C2×C22⋊D7311yescharacteristic
1453C22⋊C4C2×C22⋊D7311yescharacteristic
1454C22⋊C4C2×C22⋊D7311yescharacteristic
1455C42—21no—
1456C42—21no—
1457C42—1461no—
1458C42—1461no—
1459C42—1461no—
1460C42—1461no—
1461C42—1461no—
1462C42—1461no—
1463C42C2×C22⋊D7311yescharacteristic
1464C42C2×C22⋊D7311yescharacteristic
1465C42C23×D7311yescharacteristic
1466C42C23×D7311yescharacteristic
1467C42C23×D7311yescharacteristic
1468C42C23×D7311yescharacteristic
1469C42C23×D7311yescharacteristic
1470C42C23×D7311yescharacteristic
1471C23—24no—
1472C23—21no—
1473C23—21no—
1474C23—81no—
1475C23—81no—
1476C23—1461no—
1477C23—1461no—
1478C23C22×C22⋊D7311yescharacteristic
1479Q8—41no—
1480Q8—41no—
1481Q8—41no—
1482Q8—41no—
1483Q8—42no—
1484Q8—81no—
1485Q8—81no—
1486Q8—81no—
1487Q8—81no—
1488Q8—81no—
1489Q8—5841no—
1490Q8—5841no—
1491Q8—1461no—
1492Q8—1461no—
1493Q8—1461no—
1494Q8—1461no—
1495D4—24no—
1496D4—21no—
1497D4—21no—
1498D4—5841no—
1499D4—5841no—
1500D4—5841no—
1501D4—5841no—
1502D4—1461no—
1503D4—1461no—
1504D4—1461no—
1505D4—1461no—
1506D4#1455663912yes—
1507D4#1455663912yes—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—42no—
1519C2×C4—42no—
1520C2×C4—81no—
1521C2×C4—81no—
1522C2×C4—81no—
1523C2×C4—81no—
1524C2×C4—81no—
1525C2×C4—81no—
1526C2×C4—81no—
1527C2×C4—81no—
1528C2×C4—81no—
1529C2×C4—81no—
1530C2×C4—81no—
1531C2×C4—5841no—
1532C2×C4—5841no—
1533C2×C4—5841no—
1534C2×C4—5841no—
1535C2×C4—5841no—
1536C2×C4—5841no—
1537C2×C4—1461no—
1538C2×C4—1461no—
1539C2×C4—1461no—
1540C2×C4—1461no—
1541C2×C4—1461no—
1542C2×C4—1461no—
1543C2×C4C22×C22⋊D7311yescharacteristic
1544C2×C4C22×C22⋊D7311yescharacteristic
1545C2×C4C22×C22⋊D7311yescharacteristic
1546C2×C4C22×C22⋊D7311yescharacteristic
1547C2×C4C22×C22⋊D7311yescharacteristic
1548C2×C4C22×C22⋊D7311yescharacteristic
1549C2×C4C22×C22⋊D7311yescharacteristic
1550C2×C4C22×C22⋊D7311yescharacteristic
1551C2×C4C22×C22⋊D7311yescharacteristic
1552C2×C4C22×C22⋊D7311yescharacteristic
1553C2×C4C22×C22⋊D7311yescharacteristic
1554C2×C4C22×C22⋊D7311yescharacteristic
1555C2×C4C22×C22⋊D7311yescharacteristic
1556C2×C4C24×D7311yescharacteristic
1557C8—1461no—
1558C8—1461no—
1559C8—1461no—
1560C8—1461no—
1561C8—1461no—
1562C8—1461no—
1563C8—1461no—
1564C8—1461no—
1565C22—21no—
1566C22—22no—
1567C22—22no—
1568C22—21no—
1569C22—21no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—84no—
1575C22—2921no—
1576C22—2921no—
1577C22—2921no—
1578C22—2921no—
1579C22—2921no—
1580C22—2921no—
1581C22C23×C22⋊D7311yescharacteristic
1582C4—21no—
1583C4—21no—
1584C4—21no—
1585C4—21no—
1586C4—21no—
1587C4—21no—
1588C4—21no—
1589C4—21no—
1590C4—21no—
1591C4—21no—
1592C4—21no—
1593C4—21no—
1594C4—21no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—2921no—
1602C4—2921no—
1603C4—2921no—
1604C4—2921no—
1605C4—2921no—
1606C4—2921no—
1607C4C2×#1455663911yescharacteristic
1608C4C2×#1455663911yescharacteristic
1609C2—41no—
1610C2—42no—
1611C2—42no—
1612C2—5841no—
1613C2—5841no—
1614C2#2262358211yescharacteristic
1615C2#2262470211yescharacteristic
1616C2#2262471111yescharacteristic
subgroupG/H
centerC22C23×C22⋊D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3501C2
socleC22×C73C23×D4
prime radical#22620174C2
hypercenter#3501D73
hypocenterC73#61855
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #22624437C2semidirect
2. #22622885C2semidirect
3. #22622885C2semidirect
4. #22622876C2semidirect
5. #22622876C2semidirect
6. #22622852C2semidirect
7. #22622826C2semidirect
8. #22622806C2semidirect
9. #22622794C2semidirect
10. #22622758C2semidirect
11. #22622758C2semidirect
12. #22622723C2semidirect
13. #22622684C2semidirect
14. #22622684C2semidirect
15. #22622649C2semidirect
16. #22622591C2semidirect
17. #22622580C2semidirect
18. #22621229C2semidirect
19. #22621214C2semidirect
20. #22621199C2semidirect
21. #22621184C2semidirect
22. #22621171C2semidirect
23. #22621110C2semidirect
24. #22620183C2semidirect
26. #22620115C2semidirect
27. #22620115C2semidirect
28. #22620069C2semidirect
29. #22619978C2semidirect
30. #22619026C2semidirect
31. C73×#3501C2semidirect
34. #17989322C22semidirect
35. #17989322C22semidirect
36. #17989315C22semidirect
37. #17989315C22semidirect
38. #17989310C22semidirect
39. #17989310C22semidirect
40. #17989297C22semidirect
41. #17989297C22semidirect
54. #17988997C22semidirect
55. #17988997C22semidirect
56. #17988993C22semidirect
57. #17988993C22semidirect
58. #17988993C22semidirect
59. #17988993C22semidirect
60. #17988990C22semidirect
61. #17988986C22semidirect
62. #17988986C22semidirect
63. #17988986C22semidirect
64. #17988986C22semidirect
65. #17988983C22semidirect
66. #17988957C22semidirect
67. #17988953C22semidirect
68. #17988949C22semidirect
69. #17988949C22semidirect
70. #17988949C22semidirect
71. #17988949C22semidirect
72. #17988944C22semidirect
73. #17988944C22semidirect
74. #17988944C22semidirect
75. #17988944C22semidirect
76. #17988939C22semidirect
77. #17988935C22semidirect
90. #17988891C22semidirect
91. #17988891C22semidirect
92. #17988891C22semidirect
93. #17988891C22semidirect
94. #17988891C22semidirect
95. #17988891C22semidirect
104. #17988884C22semidirect
105. #17988884C22semidirect
106. #17988884C22semidirect
107. #17988884C22semidirect
108. #17988884C22semidirect
109. #17988884C22semidirect
110. #17988879C22semidirect
111. #17988879C22semidirect
112. #17988879C22semidirect
115. #17988874C22semidirect
116. #17988874C22semidirect
117. #17988874C22semidirect
118. #17988869C22semidirect
119. #17988869C22semidirect
120. #17988869C22semidirect
123. #17988864C22semidirect
124. #17988864C22semidirect
125. #17988864C22semidirect
142. #17988718C22semidirect
143. #17988718C22semidirect
144. #17988718C22semidirect
145. #17988718C22semidirect
146. #17988718C22semidirect
147. #17988718C22semidirect
148. Q8×#10596831C22semidirect
149. Q8×#10596831C22semidirect
810. #3501D73semidirect
840. C73#61855semidirect

Maximal subgroups

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

subgroupindex
#226244372
#226228852
#226228762
#226228522
#226228262
#226228062
#226227942
#226227582
#226227232
#226226842
#226226492
#226225912
#226225802
#226212292
#226212142
#226211992
#226211842
#226211712
#226211102
#226201832
#226201742
#226201152
#226200692
#226199782
#226190262
C73×#35012
#6185573