Finite Group Databasebeta

← #33979257

Subgroups — #33979257

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624257C211yesmaximal, characteristic, complemented
2#22623859C211yesmaximal, characteristic, complemented
3#22623019C211yesmaximal, characteristic, complemented
4#22622976C211yesmaximal, characteristic, complemented
5#22622681C211yesmaximal, characteristic, complemented
6#22622642C211yesmaximal, characteristic, complemented
7#22622073C211yesmaximal, characteristic, complemented
8#22621953C211yesmaximal, characteristic, complemented
9#22621933C211yesmaximal, characteristic, complemented
10#22621899C211yesmaximal, characteristic, complemented
11#22621767C211yesmaximal, characteristic, complemented
12#22621747C211yesmaximal, characteristic, complemented
13#22621611C211yesmaximal, characteristic, complemented
14D8×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621465C211yesmaximal, characteristic, complemented
16#22621411C211yesmaximal, characteristic, complemented
17#22621406C211yesmaximal, characteristic, complemented
18#22621405C211yesmaximal, characteristic, complemented
19#22621368C211yesmaximal, characteristic, complemented
20#22621344C211yesmaximal, characteristic, complemented
21#22621280C211yesmaximal, characteristic, complemented
22#22621025C211yesmaximal, characteristic, complemented
23#22620978C211yesmaximal, characteristic, complemented
24#22620948C211yesmaximal, characteristic, complemented
25#22620174C211yesmaximal, characteristic, complemented
26#22620127C211yesmaximal, characteristic, complemented
27#22620068C211yesmaximal, characteristic, complemented
28#22619471C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619068C211yesmaximal, characteristic, complemented
31C73×#3041C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic, complemented
33C2×#14556612C2211yescharacteristic, complemented
34C2×D8×D73C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36#17989326—21no—
37#17989325—21no—
38#17989320C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989294C2211yescharacteristic, complemented
41#17989283—21no—
42#17989281C2211yescharacteristic, complemented
43#17989276C2211yescharacteristic, complemented
44#17989266—21no—
45#17989263—21no—
46#17989257C2211yescharacteristic, complemented
47#17989256C2211yescharacteristic, complemented
48#17989242C2211yescharacteristic, complemented
49#17989232C2211yescharacteristic, complemented
50#17989231C2211yescharacteristic, complemented
51#17989230C2211yescharacteristic, complemented
52#17989227—21no—
53#17989226—21no—
54#17989225C2211yescharacteristic
55#17989222C2211yescharacteristic, complemented
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic, complemented
58D4×C22⋊D73C2211yescharacteristic, complemented
59#17989219—21no—
60#17989208C2211yescharacteristic, complemented
61#17989192C2211yescharacteristic, complemented
62#17989191C2211yescharacteristic, complemented
63#17989188C2211yescharacteristic, complemented
64#17989187—21no—
65#17989179—21no—
66#17989175—21no—
67#17989155C2211yescharacteristic, complemented
68#17989152—21no—
69#17989147—21no—
70#17989145—21no—
71#127×D73C2211yescharacteristic, complemented
72#17989119C2211yescharacteristic, complemented
73#17989116C2211yescharacteristic, complemented
74#17989115C2211yescharacteristic
75#17989096—21no—
76C2×#14556573—21no—
77#17989066C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988975C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988969C2211yescharacteristic, complemented
84#17988962C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988946C2211yescharacteristic, complemented
89#17988943C2211yescharacteristic, complemented
90#17988933C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988904C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988899C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988895C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988889C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988887C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988885C2211yescharacteristic, complemented
105#17988878C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic, complemented
110#17988833C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988823C2211yescharacteristic, complemented
113#17988822C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic
115#17988820C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988813C2211yescharacteristic, complemented
119#17988812C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988803C2211yescharacteristic, complemented
124#17988803C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic, complemented
127#17988788C2211yescharacteristic, complemented
128#17988786C2211yescharacteristic, complemented
129#17988784C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic, complemented
131#17988782C2211yescharacteristic, complemented
132#17988782C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic
136#17988780C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988779C2211yescharacteristic, complemented
141#17988749C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic, complemented
144#17988738C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988732C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988721C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988716C2211yescharacteristic, complemented
160#17988714C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988699C2211yescharacteristic, complemented
163#17988697C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988690C2211yescharacteristic, complemented
167#17988688C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170D8×Dic73C2211yescharacteristic, complemented
171C4×#11924013C2211yescharacteristic, complemented
172C4×#11924013C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988657C2211yescharacteristic, complemented
175#17988656C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988652C2211yescharacteristic, complemented
178C8×C22⋊D73C2211yescharacteristic, complemented
179#17988648C2211yescharacteristic, complemented
180#17988647C2211yescharacteristic, complemented
181#17988643C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190#535×C73C2211yescharacteristic, complemented
191#518×C73C2211yescharacteristic, complemented
192#463×C73C2211yescharacteristic, complemented
193#463×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#459×C73C2211yescharacteristic, complemented
199#459×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924027—21no—
206C2×#11924027C2311yescharacteristic
207C22×C22⋊D73—21no—
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73—21no—
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C2×D4×D73C2311yescharacteristic
216C2×D4×D73C2311yescharacteristic
217C22×C4×D73—21no—
218#14556615—42no—
219#14556612—42no—
220C2×#11924018C2311yescharacteristic
221C2×#11924017C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×D584C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236D8×D73—42no—
237D8×D73—42no—
238C2×#11924011C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241C2×C8×D73C2311yescharacteristic
242#14556591C2311yescharacteristic
243#14556588C2311yescharacteristic
244#14556587—21no—
245#14556587—21no—
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556586D411yescharacteristic
253#14556585—21no—
254#14556584—21no—
255#14556584—21no—
256#14556584—21no—
257#14556584D411yescharacteristic
258#14556583—21no—
259#14556583C2311yescharacteristic
260#14556582C2311yescharacteristic
261#14556582C2311yescharacteristic
262#14556581D411yescharacteristic
263#14556580C2311yescharacteristic
264#14556579C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577D411yescharacteristic
270#14556576—21no—
271#14556576—21no—
272#14556576D411yescharacteristic
273#14556575—21no—
274#14556575—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573D411yescharacteristic
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570—21no—
296#14556570C2311yescharacteristic
297#14556569—21no—
298#14556569D411yescharacteristic
299#14556568—21no—
300#14556568—21no—
301#14556567C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564D411yescharacteristic
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556560—21no—
339#14556560—21no—
340#14556560—21no—
341#14556560—21no—
342#14556559—21no—
343#14556559—21no—
344#14556559—21no—
345#14556559—21no—
346#14556559—21no—
347#14556559—21no—
348Q8×Dic73C2311yescharacteristic
349C4×Dic146C2311yescharacteristic
350C4×Dic146C2311yescharacteristic
351#14556556C2311yescharacteristic
352C4×D292—21no—
353C4×D292C2311yescharacteristic
354C4×D292C2311yescharacteristic
355C4×D292C2311yescharacteristic
356C4×D292C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360D4×Dic73C2311yescharacteristic
361D4×Dic73C2311yescharacteristic
362#14556553C2311yescharacteristic
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73C2311yescharacteristic
369C4×C22⋊D73C2311yescharacteristic
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556550—21no—
375#14556548—21no—
376#14556548C2311yescharacteristic
377#14556547—21no—
378#14556547—21no—
379C2×C4⋊Dic73—21no—
380C2×#11924007—21no—
381C4⋊C4×D73C2311yescharacteristic
382C4⋊C4×D73C2311yescharacteristic
383C2×C22⋊Dic73—21no—
384C2×#11924005—21no—
385C2×#11924005—21no—
386C22⋊C4×D73—21no—
387C22⋊C4×D73—21no—
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428C22⋊#10596831C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442AGL(1,ℤ/8)×C73—42no—
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73—42no—
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#121×C73—21no—
459#121×C73—21no—
460#120×C73—21no—
461#120×C73—21no—
462C4×D4×C73—21no—
463C4×D4×C73—21no—
464C4×D4×C73C2311yescharacteristic
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470C2×C22⋊C4×C73—21no—
471C2×C22⋊C4×C73—21no—
472C4⋊C8×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488#11924029—41no—
489#11924029—41no—
490#11924028—82no—
491#11924027—22no—
492#11924027—41no—
493#11924027—82no—
494C2×Dic146—21no—
495C2×Dic146C2×D411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—21no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—82no—
527C2×C22⋊D73—82no—
528C2×C22⋊D73—82no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533D4×D73—41no—
534D4×D73—41no—
535D4×D73—41no—
536D4×D73—41no—
537D4×D73—41no—
538D4×D73—41no—
539D4×D73—82no—
540D4×D73—82no—
541D4×D73—82no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—82no—
556C2×C4×D73C2×D411yescharacteristic
557C2×C4×D73C2×D411yescharacteristic
558C2×C4×D73C2411yescharacteristic
559C2×C4×D73C2411yescharacteristic
560#11924018—41no—
561#11924017—41no—
562#11924017—41no—
563#11924016—41no—
564#11924016—41no—
565#11924016—41no—
566#11924015—41no—
567D584—41no—
568D584—41no—
569#11924013—22no—
570#11924013—22no—
571#11924013—41no—
572#11924013—41no—
573#11924013—41no—
574#11924013—41no—
575#11924013—41no—
576#11924011—41no—
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C8×D73—41no—
582C8×D73—41no—
583C8×D73—41no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73C2×D411yescharacteristic
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593C4⋊Dic73C2411yescharacteristic
594C4⋊Dic73C2411yescharacteristic
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
609#11924007C2×D411yescharacteristic
610#11924007C2×D411yescharacteristic
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005C2×D411yescharacteristic
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643#11924005C2×D411yescharacteristic
644#11924005C2×D411yescharacteristic
645#11924005C2×D411yescharacteristic
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2411yescharacteristic
652C4×Dic73C2411yescharacteristic
653C24×C73—21no—
654C24×C73—21no—
655#41×C73—41no—
656#41×C73—41no—
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—22no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73C2411yescharacteristic
680SD16×C73—22no—
681SD16×C73—41no—
682D8×C73—22no—
683D8×C73—22no—
684D8×C73—22no—
685D8×C73—41no—
686D8×C73—41no—
687D8×C73—41no—
688M16×C73—41no—
689C2×C8×C73—41no—
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C4⋊C4×C73C2×D411yescharacteristic
695C4⋊C4×C73C2×D411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73C2×D411yescharacteristic
708C22⋊C4×C73C2×D411yescharacteristic
709C42×C73—21no—
710C42×C73C2411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—42no—
718C23×C73—81no—
719C23×C73—81no—
720C23×C73—81no—
721C23×C73—81no—
722C23×C73—81no—
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—42no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—42no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73—81no—
734C22×D73—81no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73C22×D411yescharacteristic
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—42no—
753D4×C73—81no—
754D4×C73—81no—
755D4×C73—81no—
756D4×C73—81no—
757D4×C73—81no—
758D4×C73—81no—
759D4×C73H(5,𝔽2)12yes—
760C2×C4×C73—21no—
761C2×C4×C73—21no—
762C2×C4×C73—21no—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—81no—
766C2×C4×C73—81no—
767C2×C4×C73—81no—
768C2×C4×C73—81no—
769C2×C4×C73—81no—
770C2×C4×C73C22×D411yescharacteristic
771C2×C4×C73C22×D411yescharacteristic
772C2×C4×C73C22×D411yescharacteristic
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C2511yescharacteristic
776C22⋊D73—22no—
777C22⋊D73—41no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—81no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73—81no—
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816D292—22no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—21no—
822D292—21no—
823D292—81no—
824D292—81no—
825D292—81no—
826D292—81no—
827C4×D73—22no—
828C4×D73—21no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—21no—
832C4×D73—41no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840Dic146—21no—
841Dic146—21no—
842Dic146—41no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—22no—
854C22×C73—21no—
855C22×C73—21no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—162no—
871C22×C73—162no—
872C22×C73C23×D411yescharacteristic
873C2×D73—21no—
874C2×D73—21no—
875C2×D73—21no—
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—84no—
888C2×D73—162no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73#57612yes—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73—41no—
900C4×C73C2×H(5,𝔽2)11yescharacteristic
901C4×C73#58511yescharacteristic
902Dic73—21no—
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—42no—
915C2×C73—41no—
916C2×C73—81no—
917C2×C73—81no—
918C2×C73—81no—
919C2×C73—81no—
920C2×C73#348811yescharacteristic
921C2×C73C2×#57611yescharacteristic
922C2×C73#358511yescharacteristic
923D73—22no—
924D73—41no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370—731no—
933#3366—731no—
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264—731no—
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041D7311yescharacteristic, complemented
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8C2×D7311yescharacteristic, complemented
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559—731no—
970#554—731no—
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550—731no—
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—731no—
983#546—1461no—
984#546—1461no—
985D42—731no—
986D42—731no—
987D42—731no—
988D42—731no—
989D42—1461no—
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—1461no—
999#535C2×D7311yescharacteristic, complemented
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518C2×D7311yescharacteristic, complemented
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496—731no—
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490—731no—
1019#490—731no—
1020#489—731no—
1021#488—731no—
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479—731no—
1030#479—731no—
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#478—731no—
1037#476—731no—
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469—731no—
1042#468—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465—731no—
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463C2×D7311yescharacteristic, complemented
1060#463C2×D7311yescharacteristic, complemented
1061#463C2×D7311yescharacteristic, complemented
1062#463C2×D7311yescharacteristic, complemented
1063#460—731no—
1064#460—731no—
1065#460—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459C2×D7311yescharacteristic, complemented
1078#459C2×D7311yescharacteristic, complemented
1079#459C2×D7311yescharacteristic, complemented
1080#459C2×D7311yescharacteristic, complemented
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450—731no—
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#446—731no—
1100#446—731no—
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442—731no—
1106#440—731no—
1107#440—731no—
1108#440—731no—
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435—731no—
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424C2×D7311yescharacteristic, complemented
1124C2×C4⋊C8—731no—
1125#418C2×D7311yescharacteristic, complemented
1126#417—731no—
1127#416C2×D7311yescharacteristic, complemented
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41C22×D7311yescharacteristic
1136C22×D4—731no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—1461no—
1141C22×D4—1461no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4—1461no—
1146C22×D4C22×D7311yescharacteristic
1147C22×D4C22×D7311yescharacteristic
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16—731no—
1159C2×SD16C22×D7311yescharacteristic
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—42no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8C22×D7311yescharacteristic
1174C2×D8C22×D7311yescharacteristic
1175C2×D8C22×D7311yescharacteristic
1176C2×D8C22×D7311yescharacteristic
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16C22×D7311yescharacteristic
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8C22×D7311yescharacteristic
1185C4⋊Q8—731no—
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—731no—
1191#127—1461no—
1192#127—1461no—
1193#127—1461no—
1194#127C22×D7311yescharacteristic
1195#127C22×D7311yescharacteristic
1196#126—731no—
1197#126—731no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—731no—
1206#125—731no—
1207#125—1461no—
1208#124—731no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—1461no—
1213#124—1461no—
1214#124—1461no—
1215#124C22×D7311yescharacteristic
1216#124C22×D7311yescharacteristic
1217#123—731no—
1218#123—731no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—731no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—731no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249#121—21no—
1250#121—21no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#120—21no—
1284#120—21no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8—731no—
1302C4×Q8—731no—
1303C4×D4—21no—
1304C4×D4—21no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—731no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4C22×D7311yescharacteristic
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—731no—
1332#117—1461no—
1333#117—1461no—
1334#117—1461no—
1335#117—1461no—
1336#117C22×D7311yescharacteristic
1337#117C22×D7311yescharacteristic
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4—1461no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107—731no—
1353#107—731no—
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106—731no—
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8C22×D7311yescharacteristic
1365C4⋊C8C22×D7311yescharacteristic
1366C4⋊C8C22×D7311yescharacteristic
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103C22×D7311yescharacteristic
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102C22×D7311yescharacteristic
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406#97—731no—
1407#97—731no—
1408#97—731no—
1409#97—731no—
1410C4×C8—731no—
1411C4×C8—731no—
1412C24—21no—
1413C24—21no—
1414C24—1461no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—41no—
1419#41—41no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—5842no—
1424#41—5842no—
1425#41—1462no—
1426C2×Q8—731no—
1427C2×Q8—731no—
1428C2×Q8—1461no—
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—41no—
1439C2×D4—41no—
1440C2×D4—41no—
1441C2×D4—2921no—
1442C2×D4—2921no—
1443C2×D4—2921no—
1444C2×D4—2921no—
1445C2×D4—2921no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—5842no—
1449C2×D4—5842no—
1450C2×D4—5842no—
1451C2×D4—5842no—
1452C2×D4—5842no—
1453C2×D4—5842no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1462no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4C23×D7311yescharacteristic
1487C2×D4C23×D7311yescharacteristic
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—5842no—
1497C22×C4—731no—
1498C22×C4—731no—
1499C22×C4—731no—
1500C22×C4—731no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4C23×D7311yescharacteristic
1515Q16—2921no—
1516SD16—22no—
1517SD16—41no—
1518SD16—2921no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—2921no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—2921no—
1535D8—2921no—
1536D8—2921no—
1537D8—1462no—
1538D8—1462no—
1539M16—41no—
1540M16—2921no—
1541C2×C8—41no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—731no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4D4×D7311yescharacteristic
1581C4⋊C4D4×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—731no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4D4×D7311yescharacteristic
1629C22⋊C4D4×D7311yescharacteristic
1630C42—21no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42C23×D7311yescharacteristic
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—2922no—
1652C23—2922no—
1653C23—2922no—
1654C23—2922no—
1655C23—5841no—
1656C23—5841no—
1657C23—5841no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—5841no—
1662C23—5841no—
1663C23—731no—
1664C23—731no—
1665C23—1461no—
1666C23—1461no—
1667C23—1461no—
1668C23C2×D4×D7311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—2921no—
1672Q8—5841no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—42no—
1685D4—81no—
1686D4—81no—
1687D4—81no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—2922no—
1692D4—2922no—
1693D4—2922no—
1694D4—2922no—
1695D4—2921no—
1696D4—2922no—
1697D4—2922no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—1462no—
1718D4—1462no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4#1455663612yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—81no—
1732C2×C4—81no—
1733C2×C4—81no—
1734C2×C4—81no—
1735C2×C4—81no—
1736C2×C4—2921no—
1737C2×C4—2922no—
1738C2×C4—2922no—
1739C2×C4—2922no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—731no—
1751C2×C4—731no—
1752C2×C4—731no—
1753C2×C4—731no—
1754C2×C4—731no—
1755C2×C4—731no—
1756C2×C4—1462no—
1757C2×C4—1461no—
1758C2×C4—1461no—
1759C2×C4—1461no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4C2×D4×D7311yescharacteristic
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—21no—
1781C22—22no—
1782C22—21no—
1783C22—21no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—162no—
1799C22—162no—
1800C22—2921no—
1801C22—2921no—
1802C22—2921no—
1803C22—2921no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—5844no—
1810C22—732no—
1811C22—11682no—
1812C22—11682no—
1813C22—11682no—
1814C22—1461no—
1815C22—1461no—
1816C22—1461no—
1817C22—1461no—
1818C22—1461no—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—2921no—
1829C4—2921no—
1830C4—2921no—
1831C4—2921no—
1832C4—2921no—
1833C4—1461no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4C2×#1455663611yescharacteristic
1840C4#1798942311yescharacteristic
1841C2—41no—
1842C2—42no—
1843C2—81no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—2921no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—1462no—
1852C2#2262359611yescharacteristic
1853C2#576×D7311yescharacteristic
1854C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3041C2
socleC22×C73C23×D4
hypercenter#3041D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3041

Complements

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

NH ≅ G/Ntype
1. #22624257C2semidirect
2. #22623859C2semidirect
3. #22623019C2semidirect
4. #22622976C2semidirect
5. #22622681C2semidirect
6. #22622642C2semidirect
7. #22622073C2semidirect
8. #22621953C2semidirect
9. #22621933C2semidirect
10. #22621899C2semidirect
11. #22621767C2semidirect
12. #22621747C2semidirect
13. #22621611C2semidirect
14. D8×C22⋊D73C2semidirect
15. #22621465C2semidirect
16. #22621411C2semidirect
17. #22621406C2semidirect
18. #22621405C2semidirect
19. #22621368C2semidirect
20. #22621344C2semidirect
21. #22621280C2semidirect
22. #22621025C2semidirect
23. #22620978C2semidirect
24. #22620948C2semidirect
25. #22620174C2semidirect
26. #22620127C2semidirect
27. #22620068C2semidirect
28. #22619471C2semidirect
29. #459×D73C2semidirect
30. #22619068C2semidirect
31. C73×#3041C2semidirect
32. C2×#14556615C22semidirect
33. C2×#14556612C22semidirect
34. C2×D8×D73C22semidirect
35. C2×D8×D73C22semidirect
38. #17989320C22semidirect
39. #17989319C22semidirect
40. #17989294C22semidirect
42. #17989281C22semidirect
43. #17989276C22semidirect
46. #17989257C22semidirect
47. #17989256C22semidirect
48. #17989242C22semidirect
49. #17989232C22semidirect
50. #17989231C22semidirect
51. #17989230C22semidirect
55. #17989222C22semidirect
57. D4×C22⋊D73C22semidirect
58. D4×C22⋊D73C22semidirect
60. #17989208C22semidirect
61. #17989192C22semidirect
62. #17989191C22semidirect
63. #17989188C22semidirect
67. #17989155C22semidirect
71. #127×D73C22semidirect
72. #17989119C22semidirect
73. #17989116C22semidirect
77. #17989066C22semidirect
78. C4×D4×D73C22semidirect
79. #17988975C22semidirect
80. #17988975C22semidirect
81. #17988974C22semidirect
82. #17988973C22semidirect
83. #17988969C22semidirect
84. #17988962C22semidirect
85. #17988950C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988946C22semidirect
89. #17988943C22semidirect
90. #17988933C22semidirect
91. #17988916C22semidirect
92. #17988911C22semidirect
93. #17988911C22semidirect
94. #17988904C22semidirect
95. #17988899C22semidirect
96. #17988899C22semidirect
97. #17988896C22semidirect
98. #17988895C22semidirect
99. #17988889C22semidirect
100. #17988889C22semidirect
101. #17988888C22semidirect
102. #17988887C22semidirect
103. #17988887C22semidirect
104. #17988885C22semidirect
105. #17988878C22semidirect
106. #17988868C22semidirect
107. #17988840C22semidirect
108. #17988839C22semidirect
109. #17988837C22semidirect
110. #17988833C22semidirect
111. #17988827C22semidirect
112. #17988823C22semidirect
113. #17988822C22semidirect
115. #17988820C22semidirect
116. #17988816C22semidirect
117. #17988815C22semidirect
118. #17988813C22semidirect
119. #17988812C22semidirect
120. #17988807C22semidirect
121. #17988806C22semidirect
122. #17988804C22semidirect
123. #17988803C22semidirect
124. #17988803C22semidirect
125. #17988800C22semidirect
126. #17988799C22semidirect
127. #17988788C22semidirect
128. #17988786C22semidirect
129. #17988784C22semidirect
130. #17988783C22semidirect
131. #17988782C22semidirect
132. #17988782C22semidirect
133. #17988781C22semidirect
134. #17988781C22semidirect
136. #17988780C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
140. #17988779C22semidirect
141. #17988749C22semidirect
142. #17988739C22semidirect
143. #17988739C22semidirect
144. #17988738C22semidirect
145. #17988736C22semidirect
146. #17988735C22semidirect
147. #17988732C22semidirect
148. #17988731C22semidirect
149. #17988729C22semidirect
150. #17988729C22semidirect
151. #17988722C22semidirect
152. #17988721C22semidirect
153. #17988721C22semidirect
154. #17988721C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988716C22semidirect
160. #17988714C22semidirect
161. #17988699C22semidirect
162. #17988699C22semidirect
163. #17988697C22semidirect
164. #17988697C22semidirect
165. #17988696C22semidirect
166. #17988690C22semidirect
167. #17988688C22semidirect
168. #17988684C22semidirect
169. #17988678C22semidirect
170. D8×Dic73C22semidirect
171. C4×#11924013C22semidirect
172. C4×#11924013C22semidirect
173. #17988658C22semidirect
174. #17988657C22semidirect
175. #17988656C22semidirect
176. #17988656C22semidirect
177. #17988652C22semidirect
178. C8×C22⋊D73C22semidirect
179. #17988648C22semidirect
180. #17988647C22semidirect
181. #17988643C22semidirect
182. #17988612C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988587C22semidirect
185. #102×D73C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×D8×C73C22semidirect
190. #535×C73C22semidirect
191. #518×C73C22semidirect
192. #463×C73C22semidirect
193. #463×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #459×C73C22semidirect
197. #459×C73C22semidirect
198. #459×C73C22semidirect
199. #459×C73C22semidirect
200. #424×C73C22semidirect
201. #418×C73C22semidirect
202. #416×C73C22semidirect
956. #3041D73semidirect
959. C73#62007semidirect
961. C2×AGL(1,ℤ/8)C2×D73semidirect
965. C22×D8C2×D73semidirect
999. #535C2×D73semidirect
1009. #518C2×D73semidirect
1059. #463C2×D73semidirect
1060. #463C2×D73semidirect
1061. #463C2×D73semidirect
1062. #463C2×D73semidirect
1077. #459C2×D73semidirect
1078. #459C2×D73semidirect
1079. #459C2×D73semidirect
1080. #459C2×D73semidirect
1123. #424C2×D73semidirect
1125. #418C2×D73semidirect
1127. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242572
#226238592
#226230192
#226229762
#226226812
#226226422
#226220732
#226219532
#226219332
#226218992
#226217672
#226217472
#226216112
D8×C22⋊D732
#226214652
#226214112
#226214062
#226214052
#226213682
#226213442
#226212802
#226210252
#226209782
#226209482
#226201742
#226201272
#226200682
#226194712
#459×D732
#226190682
C73×#30412
#6200773