Finite Group Databasebeta

← #33968899

Subgroups — #33968899

Order 18688.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623976C211yesmaximal, characteristic, complemented
2#22623950C211yesmaximal, characteristic, complemented
3#22622946C211yesmaximal, characteristic, complemented
4#22622825C211yesmaximal, characteristic, complemented
5#22622581C211yesmaximal, characteristic, complemented
6#22622563C211yesmaximal, characteristic, complemented
7#22622519C211yesmaximal, characteristic, complemented
8#22622414C211yesmaximal, characteristic, complemented
9#22622410C211yesmaximal, characteristic, complemented
10#22621854C211yesmaximal, characteristic, complemented
11#22621787C211yesmaximal, characteristic, complemented
12#22621783C211yesmaximal, characteristic, complemented
13#22621751C211yesmaximal, characteristic, complemented
14#22621740C211yesmaximal, characteristic, complemented
15#22621529C211yesmaximal, characteristic, complemented
16#22621415C211yesmaximal, characteristic, complemented
17#22621407C211yesmaximal, characteristic, complemented
18#22620621C211yesmaximal, characteristic, complemented
19#22620609C211yesmaximal, characteristic, complemented
20#22620485C211yesmaximal, characteristic, complemented
21#22620129C211yesmaximal, characteristic, complemented
22#22620125C211yesmaximal, characteristic, complemented
23#22620120C211yesmaximal, characteristic, complemented
24#22620116C211yesmaximal, characteristic, complemented
25#22620025C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22618899C211yesmaximal, characteristic, complemented
28#22618758C211yesmaximal, characteristic, complemented
29#22618757C211yesmaximal, characteristic, complemented
30C2×#17988667C211yesmaximal, characteristic, complemented
31C73×#3295C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C22×#11924013C2211yescharacteristic
35#17989309C2211yescharacteristic, complemented
36#17989301C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989292C2211yescharacteristic, complemented
39#17989289C2211yescharacteristic
40#17989283C2211yescharacteristic
41#17989280—21no—
42#17989269—21no—
43#17989266—21no—
44#17989264—21no—
45#17989257C2211yescharacteristic, complemented
46#17989252C2211yescharacteristic, complemented
47#17989247—21no—
48#17989239C2211yescharacteristic, complemented
49#17989238C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic, complemented
51#17989231—21no—
52#17989228C2211yescharacteristic, complemented
53#17989224—21no—
54#17989224—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic, complemented
57#17989211C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989191C2211yescharacteristic, complemented
60#17989190C2211yescharacteristic, complemented
61#17989185—21no—
62#17989183—21no—
63#17989174—21no—
64#17989172—21no—
65#17989139C2211yescharacteristic, complemented
66#17989132C2211yescharacteristic
67#17989117C2211yescharacteristic
68#17989096—21no—
69#17989093—21no—
70C22⋊Q8×D73—21no—
71C2×#14556563—21no—
72#17989069C2211yescharacteristic, complemented
73#17989068C2211yescharacteristic, complemented
74#17989062C2211yescharacteristic, complemented
75#17989059C2211yescharacteristic, complemented
76C2×D4×Dic73C2211yescharacteristic
77C2×#14556553C2211yescharacteristic, complemented
78#17988994C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988974C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988942C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988931C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988897C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988875C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988865C2211yescharacteristic, complemented
108#17988865C2211yescharacteristic, complemented
109#17988864C2211yescharacteristic, complemented
110#17988839C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988835C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988823C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988814C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic
124#17988790C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988779C2211yescharacteristic, complemented
131#17988739C2211yescharacteristic, complemented
132#17988738C2211yescharacteristic
133#17988734C2211yescharacteristic, complemented
134#17988731C2211yescharacteristic, complemented
135#17988731C2211yescharacteristic, complemented
136#17988730C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic, complemented
138#17988722C2211yescharacteristic
139#17988721C2211yescharacteristic
140#17988720C2211yescharacteristic, complemented
141#17988716C2211yescharacteristic, complemented
142C8×Dic146C2211yescharacteristic, complemented
143#17988698C2211yescharacteristic, complemented
144#17988698C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic
146#17988696C2211yescharacteristic
147#17988696C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic, complemented
149#17988688C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic, complemented
151#17988685C2211yescharacteristic, complemented
152#17988684C2211yescharacteristic, complemented
153#17988684C2211yescharacteristic, complemented
154#17988684C2211yescharacteristic, complemented
155#17988678C2211yescharacteristic, complemented
156#17988678C2211yescharacteristic, complemented
157SD16×Dic73C2211yescharacteristic, complemented
158#17988674C2211yescharacteristic, complemented
159#17988672C2211yescharacteristic, complemented
160C4×D584C2211yescharacteristic, complemented
161#17988667C2211yescharacteristic
162#17988667C2211yescharacteristic
163#17988667C2211yescharacteristic
164#17988667C2211yescharacteristic
165#17988667C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988667C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988659C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988627C2211yescharacteristic, complemented
179#17988626C2211yescharacteristic, complemented
180C2×#14556524C2211yescharacteristic, complemented
181#17988584C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988542C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C2×C8×Dic73C2211yescharacteristic, complemented
188#554×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×Q8×D73—21no—
209C22×D292C2311yescharacteristic
210C22×C22⋊D73—21no—
211C22×C22⋊D73—21no—
212C2×D4×D73C2311yescharacteristic
213C23×Dic73—21no—
214C22×C4×D73—21no—
215#14556618—24no—
216#14556617—24no—
217C2×#11924017C2311yescharacteristic
218C2×#11924016C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×#11924013—24no—
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924012C2311yescharacteristic
232C2×#11924011C2311yescharacteristic
233C22×#10596831C2311yescharacteristic
234C2×C8×D73C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556590C2311yescharacteristic
238#14556589C2311yescharacteristic
239#14556587C2311yescharacteristic
240#14556587C2311yescharacteristic
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556586D411yescharacteristic
246#14556585—21no—
247#14556584—21no—
248#14556584D411yescharacteristic
249#14556583C2311yescharacteristic
250#14556582C2311yescharacteristic
251#14556581—21no—
252#14556581—21no—
253#14556581D411yescharacteristic
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556579C2311yescharacteristic
257#14556578—21no—
258#14556577—21no—
259#14556577—21no—
260#14556577—21no—
261#14556577D411yescharacteristic
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575D411yescharacteristic
270#14556574—21no—
271#14556573—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556572—21no—
276#14556572—21no—
277#14556572D411yescharacteristic
278#14556571—21no—
279#14556571C2311yescharacteristic
280#14556570—21no—
281#14556570—21no—
282#14556570C2311yescharacteristic
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568D411yescharacteristic
292#14556567—21no—
293#14556567—21no—
294#14556566—21no—
295#14556566C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556565C2311yescharacteristic
299#14556564—21no—
300#14556564—21no—
301#14556563—21no—
302#14556563—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563D411yescharacteristic
313#14556562—21no—
314#14556562—21no—
315#14556562C2311yescharacteristic
316#14556562C2311yescharacteristic
317#14556561—21no—
318#14556560—21no—
319#14556560—21no—
320#14556559—21no—
321#14556559—21no—
322#14556559—21no—
323Q8×Dic73C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325#14556556—21no—
326#14556556C2311yescharacteristic
327#14556556C2311yescharacteristic
328C4×D292—21no—
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73—21no—
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342D4×Dic73C2311yescharacteristic
343#14556553—21no—
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550C2311yescharacteristic
362#14556550C2311yescharacteristic
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548C2311yescharacteristic
368#14556547—21no—
369#14556547—21no—
370C2×C4⋊Dic73C2311yescharacteristic
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C2×C22⋊Dic73—21no—
377C2×C22⋊Dic73—21no—
378C2×C22⋊Dic73—21no—
379C2×#11924005—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73—21no—
439C22×D4×C73C2311yescharacteristic
440C22×D4×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4⋊Q8×C73C2311yescharacteristic
447#127×C73C2311yescharacteristic
448#125×C73—21no—
449C22⋊Q8×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453#121×C73—21no—
454#121×C73C2311yescharacteristic
455#121×C73C2311yescharacteristic
456#120×C73—21no—
457#120×C73—21no—
458C4×Q8×C73C2311yescharacteristic
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#102×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924028—82no—
488#11924027—82no—
489#11924027—82no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—82no—
496C2×D292—22no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
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—82no—
516C2×C22⋊D73—82no—
517C2×C22⋊D73C2×D411yescharacteristic
518C2×C22⋊D73C2×D411yescharacteristic
519D4×D73—22no—
520D4×D73—41no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—82no—
530C22×Dic73C2×D411yescharacteristic
531C22×Dic73C2×D411yescharacteristic
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—82no—
544C2×C4×D73C2411yescharacteristic
545#11924017—41no—
546#11924016—22no—
547#11924016—22no—
548#11924016—41no—
549#11924015—22no—
550D584—22no—
551D584—41no—
552#11924013—22no—
553#11924013—22no—
554#11924013—22no—
555#11924013—22no—
556#11924013—41no—
557#11924013#4114yescomplemented
558#11924012—22no—
559#11924011—22no—
560C2×#10596831—22no—
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C2×#10596831C2411yescharacteristic
564C2×#10596831C2411yescharacteristic
565C8×D73—41no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73C2×D411yescharacteristic
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609C22⋊Dic73C2×D411yescharacteristic
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631#11924005C2×D411yescharacteristic
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C24×C73—21no—
643C24×C73—21no—
644C2×Q8×C73—21no—
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—22no—
647C2×D4×C73—22no—
648C2×D4×C73—21no—
649C2×D4×C73—21no—
650C2×D4×C73—21no—
651C2×D4×C73—21no—
652C2×D4×C73—21no—
653C2×D4×C73—21no—
654C2×D4×C73—41no—
655C2×D4×C73—41no—
656C2×D4×C73—82no—
657C2×D4×C73C2×D411yescharacteristic
658C2×D4×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C2×D4×C73C2411yescharacteristic
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73C2411yescharacteristic
665C22×C4×C73C2411yescharacteristic
666SD16×C73—22no—
667SD16×C73—41no—
668SD16×C73—41no—
669C2×C8×C73—41no—
670C2×C8×C73—41no—
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C2×C8×C73C2411yescharacteristic
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73—21no—
679C4⋊C4×C73—21no—
680C4⋊C4×C73—21no—
681C4⋊C4×C73C2×D411yescharacteristic
682C4⋊C4×C73C2411yescharacteristic
683C4⋊C4×C73C2411yescharacteristic
684C4⋊C4×C73C2411yescharacteristic
685C4⋊C4×C73C2411yescharacteristic
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73—21no—
690C22⋊C4×C73—21no—
691C22⋊C4×C73C2×D411yescharacteristic
692C22⋊C4×C73C2×D411yescharacteristic
693C42×C73—21no—
694C42×C73C2411yescharacteristic
695C23×C73—21no—
696C23×C73—21no—
697C23×C73—21no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—42no—
701C23×C73—81no—
702C23×C73—81no—
703C23×C73—81no—
704C23×C73C22×D411yescharacteristic
705C23×C73C22×D411yescharacteristic
706C22×D73—21no—
707C22×D73—21no—
708C22×D73—21no—
709C22×D73—42no—
710C22×D73—42no—
711C22×D73—42no—
712C22×D73—81no—
713C22×D73—81no—
714C22×D73—81no—
715C22×D73C22×D411yescharacteristic
716Q8×C73—21no—
717Q8×C73—21no—
718Q8×C73—81no—
719D4×C73—22no—
720D4×C73—21no—
721D4×C73—21no—
722D4×C73—21no—
723D4×C73—21no—
724D4×C73—21no—
725D4×C73—42no—
726D4×C73—42no—
727D4×C73—42no—
728D4×C73—81no—
729D4×C73—81no—
730D4×C73—81no—
731D4×C73C2×#4112yes—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—81no—
742C2×C4×C73—81no—
743C2×C4×C73—81no—
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C22×D411yescharacteristic
746C2×C4×C73C22×D411yescharacteristic
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C2511yescharacteristic
749C22⋊D73—22no—
750C22⋊D73—22no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—42no—
754C22⋊D73—42no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C22⋊D73—81no—
762C2×Dic73—22no—
763C2×Dic73—22no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784D292—21no—
785D292—21no—
786D292—21no—
787D292—21no—
788D292—21no—
789D292—42no—
790D292—42no—
791D292—81no—
792D292C2×#4112yes—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—42no—
796C4×D73—42no—
797C4×D73—42no—
798C4×D73—42no—
799C4×D73—81no—
800C4×D73—81no—
801C4×D73—81no—
802C4×D73—81no—
803C4×D73—81no—
804C4×D73—81no—
805C4×D73—81no—
806Dic146—22no—
807Dic146—21no—
808Dic146—21no—
809Dic146—42no—
810Dic146—81no—
811Dic146—81no—
812C8×C73—21no—
813C8×C73—21no—
814C8×C73—21no—
815C8×C73—21no—
816#10596831—21no—
817#10596831—21no—
818#10596831—21no—
819#10596831C2×#4112yes—
820C22×C73—21no—
821C22×C73—21no—
822C22×C73—21no—
823C22×C73—22no—
824C22×C73—21no—
825C22×C73—21no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—84no—
835C22×C73—162no—
836C22×C73#57712yes—
837C22×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—22no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—41no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—84no—
851C2×D73—162no—
852C4×C73—21no—
853C4×C73—21no—
854C4×C73—21no—
855C4×C73—21no—
856C4×C73—41no—
857C4×C73—41no—
858C4×C73—41no—
859C4×C73—41no—
860C4×C73—41no—
861C4×C73C22×#4111yescharacteristic
862C4×C73#58511yescharacteristic
863Dic73—21no—
864Dic73—21no—
865Dic73—21no—
866Dic73—21no—
867Dic73—21no—
868Dic73—21no—
869Dic73—41no—
870Dic73—41no—
871Dic73—41no—
872Dic73—41no—
873Dic73—41no—
874Dic73#57612yes—
875#61496—731nomaximal, Sylow
876C2×C73—22no—
877C2×C73—42no—
878C2×C73—41no—
879C2×C73—81no—
880C2×C73—81no—
881C2×C73D4×#4111yescharacteristic
882C2×C73C2×#57611yescharacteristic
883C2×C73C2×#57711yescharacteristic
884D73—41no—
885D73—42no—
886D73—81no—
887D73—81no—
888#3520—731no—
889#3519—731no—
890#3397—731no—
891#3384—731no—
892#3360—731no—
893#3358—731no—
894#3354—731no—
895#3346—731no—
896#3346—731no—
897#3303—731no—
898#3297—731no—
899#3297—731no—
900#3295—731no—
901#3295D7311yescharacteristic, complemented
902#3294—731no—
903#3272—731no—
904#3264—731no—
905#3264—731no—
906#3179—731no—
907#3179—731no—
908#3167—731no—
909#3119—731no—
910#3119—731no—
911#3118—731no—
912#3118—731no—
913#3110—731no—
914#3109—731no—
915#2966—731no—
916#2946—731no—
917#2946—731no—
918C2×C4×D8—731no—
919C73#6149611yescharacteristic, complemented, Sylow
920C2×AGL(1,ℤ/8)—731no—
921C2×AGL(1,ℤ/8)—731no—
922C22×D8—731no—
923#556—731no—
924#555—731no—
925#554—731no—
926#554—731no—
927#554C2×D7311yescharacteristic, complemented
928#553—731no—
929#553—731no—
930#553—1461no—
931#552—1461no—
932#551—1461no—
933#551—1461no—
934#550—731no—
935D4×Q8—731no—
936#548—1461no—
937#547—731no—
938#547—731no—
939#546—731no—
940#546—731no—
941#546—1461no—
942#546—1461no—
943#546—1461no—
944D42—731no—
945D42—731no—
946D42C2×D7311yescharacteristic
947#542—731no—
948#542—731no—
949#540—731no—
950#540—731no—
951#539—1461no—
952#539—1461no—
953#538—1461no—
954#538—1461no—
955#533—731no—
956#532—731no—
957#529—731no—
958#525—1461no—
959#525—1461no—
960C2×C22⋊Q8—1461no—
961C2×#121—1461no—
962#520—731no—
963#520—731no—
964#518—731no—
965#518—731no—
966C2×C4×D4—731no—
967C2×C4×D4—731no—
968#501—731no—
969#501—731no—
970#498—731no—
971#496—731no—
972#496—731no—
973#492—731no—
974#488—731no—
975#488—731no—
976#487—731no—
977#486—731no—
978#486—731no—
979#486C2×D7311yescharacteristic, complemented
980#485—731no—
981#485—731no—
982#484—731no—
983#484—731no—
984#482—731no—
985#482—731no—
986#481—731no—
987#481—731no—
988#481C2×D7311yescharacteristic, complemented
989#481C2×D7311yescharacteristic, complemented
990#480—731no—
991#480—731no—
992#479—731no—
993#479—731no—
994#478—731no—
995#478—731no—
996#476—731no—
997#476—731no—
998#476—731no—
999#476C2×D7311yescharacteristic, complemented
1000#474—731no—
1001#474—731no—
1002#474—731no—
1003#474—731no—
1004#469—731no—
1005#469—731no—
1006#468—731no—
1007#468—731no—
1008#466—731no—
1009#466—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465C2×D7311yescharacteristic, complemented
1015#465C2×D7311yescharacteristic, complemented
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463—731no—
1020#461—731no—
1021#461—731no—
1022#460—731no—
1023#460C2×D7311yescharacteristic, complemented
1024#459—731no—
1025#459—731no—
1026#459—731no—
1027#459—731no—
1028#450—731no—
1029#450—731no—
1030#450C2×D7311yescharacteristic
1031#450C2×D7311yescharacteristic, complemented
1032#449—731no—
1033#449—731no—
1034#449—731no—
1035#449—731no—
1036#447—731no—
1037#447—731no—
1038#447—731no—
1039#447—731no—
1040#446—731no—
1041C8×Q8—731no—
1042#442—731no—
1043#442—731no—
1044#442—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#440—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054C4×SD16—731no—
1055C4×SD16—731no—
1056C4×SD16—731no—
1057C4×SD16—731no—
1058C4×SD16—731no—
1059C4×SD16C2×D7311yescharacteristic, complemented
1060C4×D8—731no—
1061C4×D8—731no—
1062C4×D8—731no—
1063C4×D8—731no—
1064C4×D8—731no—
1065C4×D8—731no—
1066C4×D8—731no—
1067C4×D8—731no—
1068C4×D8—731no—
1069C4×D8—731no—
1070#436—731no—
1071#435—731no—
1072#435—731no—
1073C8×D4—731no—
1074C8×D4—731no—
1075C8×D4C2×D7311yescharacteristic, complemented
1076#433—731no—
1077#433—731no—
1078#432—731no—
1079#428—731no—
1080#428—731no—
1081C2×#107—731no—
1082#416—731no—
1083#416—731no—
1084C2×#102—731no—
1085C2×#102—731no—
1086C2×#102C2×D7311yescharacteristic
1087C2×#102C2×D7311yescharacteristic, complemented
1088#405—731no—
1089#405—731no—
1090C2×C4×C8—731no—
1091C2×#41—731no—
1092C2×#41—731no—
1093C2×#41—1461no—
1094C2×#41—1461no—
1095C2×#41—1461no—
1096C22×Q8—1461no—
1097C22×D4—21no—
1098C22×D4—731no—
1099C22×D4—731no—
1100C22×D4—1461no—
1101C22×D4—1461no—
1102C22×D4C22×D7311yescharacteristic
1103C22×D4C22×D7311yescharacteristic
1104C23×C4—1461no—
1105C23×C4—1461no—
1106AGL(1,ℤ/8)—1464no—
1107AGL(1,ℤ/8)—1464no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16C22×D7311yescharacteristic
1114C2×SD16C22×D7311yescharacteristic
1115C2×SD16C22×D7311yescharacteristic
1116C2×D8—731no—
1117C2×D8—731no—
1118C2×D8—731no—
1119C2×D8—731no—
1120C2×D8—731no—
1121C2×D8—731no—
1122C2×D8—731no—
1123C2×D8—731no—
1124C2×D8—1464no—
1125C2×M16—731no—
1126C2×M16—731no—
1127C22×C8—731no—
1128C22×C8—731no—
1129C22×C8C22×D7311yescharacteristic
1130C22×C8C22×D7311yescharacteristic
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8C22×D7311yescharacteristic
1136#127—731no—
1137#127—731no—
1138#127C22×D7311yescharacteristic
1139#126—731no—
1140#126—731no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#125—21no—
1148#125—731no—
1149#125—731no—
1150#125—731no—
1151#125—1461no—
1152#125—1461no—
1153#124—731no—
1154#124—731no—
1155#124—731no—
1156#124—1461no—
1157#124—1461no—
1158#124—1461no—
1159#124—1461no—
1160#124—1461no—
1161#123—731no—
1162#123—731no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177C22⋊Q8—21no—
1178C22⋊Q8—21no—
1179C22⋊Q8—731no—
1180C22⋊Q8—731no—
1181C22⋊Q8—731no—
1182C22⋊Q8—1461no—
1183C22⋊Q8—1461no—
1184C22⋊Q8—1461no—
1185C22⋊Q8—1461no—
1186C22⋊Q8—1461no—
1187C22⋊Q8—1461no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8C22×D7311yescharacteristic
1196C22⋊Q8C22×D7311yescharacteristic
1197#121—21no—
1198#121—731no—
1199#121—731no—
1200#121—731no—
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#121—1461no—
1221#121C22×D7311yescharacteristic
1222#121C22×D7311yescharacteristic
1223#120—21no—
1224#120—21no—
1225#120—1461no—
1226#120—1461no—
1227#120—1461no—
1228#120—1461no—
1229#120—1461no—
1230#120—1461no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—731no—
1235C4×Q8—1461no—
1236C4×Q8C22×D7311yescharacteristic
1237C4×D4—21no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4C22×D7311yescharacteristic
1272C4×D4C22×D7311yescharacteristic
1273#117—731no—
1274#117—731no—
1275#117—731no—
1276#117—731no—
1277#117—1461no—
1278#117—1461no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282C2×C4⋊C4—731no—
1283C2×C4⋊C4—731no—
1284C2×C4⋊C4—1461no—
1285C2×C4⋊C4—1461no—
1286C2×C4⋊C4—1461no—
1287C2×C4⋊C4—1461no—
1288C2×C4⋊C4C22×D7311yescharacteristic
1289C2×C4⋊C4C22×D7311yescharacteristic
1290C2×C22⋊C4—1461no—
1291C2×C22⋊C4—1461no—
1292C2×C22⋊C4—1461no—
1293C2×C22⋊C4—1461no—
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C42—731no—
1299#107—731no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#106—731no—
1308#106—731no—
1309#106—731no—
1310#106—731no—
1311#106—731no—
1312#106C22×D7311yescharacteristic
1313#106C22×D7311yescharacteristic
1314#106C22×D7311yescharacteristic
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8—731no—
1318C4⋊C8—731no—
1319C4⋊C8—731no—
1320C4⋊C8C22×D7311yescharacteristic
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103C22×D7311yescharacteristic
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102C22×D7311yescharacteristic
1345#102C22×D7311yescharacteristic
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350#102C22×D7311yescharacteristic
1351#102C22×D7311yescharacteristic
1352#102C22×D7311yescharacteristic
1353C22⋊C8—731no—
1354C22⋊C8—731no—
1355C22⋊C8—731no—
1356C22⋊C8—731no—
1357C22⋊C8C22×D7311yescharacteristic
1358C22⋊C8C22×D7311yescharacteristic
1359#97—731no—
1360#97—731no—
1361#97—731no—
1362#97—731no—
1363C4×C8—731no—
1364C4×C8—731no—
1365C4×C8—731no—
1366C4×C8—731no—
1367C4×C8—731no—
1368C4×C8C22×D7311yescharacteristic
1369C24—21no—
1370C24—21no—
1371C24—1461no—
1372C24—1461no—
1373#41—2921no—
1374#41—2921no—
1375#41—5842no—
1376#41—5842no—
1377#41—5842no—
1378#41—1462no—
1379#41—1462no—
1380C2×Q8—21no—
1381C2×Q8—5842no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—1461no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8C23×D7311yescharacteristic
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—41no—
1397C2×D4—41no—
1398C2×D4—82no—
1399C2×D4—2921no—
1400C2×D4—2921no—
1401C2×D4—5842no—
1402C2×D4—5842no—
1403C2×D4—731no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—731no—
1407C2×D4—731no—
1408C2×D4—1461no—
1409C2×D4—1462no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1462no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4D4×D7311yescharacteristic
1425C2×D4C23×D7311yescharacteristic
1426C2×D4C23×D7311yescharacteristic
1427C2×D4C23×D7311yescharacteristic
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—5842no—
1432C22×C4—5842no—
1433C22×C4—731no—
1434C22×C4—731no—
1435C22×C4—731no—
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×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4C23×D7311yescharacteristic
1456C22×C4C23×D7311yescharacteristic
1457SD16—22no—
1458SD16—41no—
1459SD16—41no—
1460SD16—2921no—
1461SD16—2921no—
1462SD16—1462no—
1463SD16—1462no—
1464SD16—1462no—
1465D8—2921no—
1466D8—2921no—
1467D8—734no—
1468D8—1462no—
1469D8—1462no—
1470D8—1462no—
1471D8—1462no—
1472D8—1462no—
1473M16—1462no—
1474M16—1462no—
1475C2×C8—41no—
1476C2×C8—41no—
1477C2×C8—2921no—
1478C2×C8—731no—
1479C2×C8—731no—
1480C2×C8—731no—
1481C2×C8—731no—
1482C2×C8—1462no—
1483C2×C8C23×D7311yescharacteristic
1484C2×C8C23×D7311yescharacteristic
1485C2×C8C23×D7311yescharacteristic
1486C2×C8C23×D7311yescharacteristic
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—731no—
1494C4⋊C4—731no—
1495C4⋊C4—731no—
1496C4⋊C4—731no—
1497C4⋊C4—731no—
1498C4⋊C4—731no—
1499C4⋊C4—731no—
1500C4⋊C4—731no—
1501C4⋊C4—731no—
1502C4⋊C4—731no—
1503C4⋊C4—731no—
1504C4⋊C4—731no—
1505C4⋊C4—731no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4D4×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C4⋊C4C23×D7311yescharacteristic
1525C4⋊C4C23×D7311yescharacteristic
1526C4⋊C4C23×D7311yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—731no—
1533C22⋊C4—731no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4D4×D7311yescharacteristic
1570C22⋊C4D4×D7311yescharacteristic
1571C42—21no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—731no—
1576C42—731no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42C23×D7311yescharacteristic
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—42no—
1588C23—42no—
1589C23—81no—
1590C23—81no—
1591C23—81no—
1592C23—2922no—
1593C23—2922no—
1594C23—2922no—
1595C23—5841no—
1596C23—5841no—
1597C23—5841no—
1598C23—731no—
1599C23—1461no—
1600C23—1461no—
1601C23—1461no—
1602C23C2×D4×D7311yescharacteristic
1603C23C2×D4×D7311yescharacteristic
1604Q8—21no—
1605Q8—21no—
1606Q8—81no—
1607Q8—2922no—
1608Q8—5841no—
1609Q8—5841no—
1610Q8—1462no—
1611Q8—1461no—
1612Q8—1461no—
1613D4—22no—
1614D4—21no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—81no—
1624D4—81no—
1625D4—2922no—
1626D4—2922no—
1627D4—2922no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—5841no—
1632D4—5841no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—5841no—
1637D4—5841no—
1638D4—5841no—
1639D4—732no—
1640D4—1462no—
1641D4—1462no—
1642D4—1461no—
1643D4—1461no—
1644D4—1461no—
1645D4—1461no—
1646D4—1461no—
1647D4#41×D7312yes—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—81no—
1660C2×C4—2922no—
1661C2×C4—2922no—
1662C2×C4—2922no—
1663C2×C4—2922no—
1664C2×C4—2922no—
1665C2×C4—2922no—
1666C2×C4—5841no—
1667C2×C4—5841no—
1668C2×C4—5841no—
1669C2×C4—5841no—
1670C2×C4—5841no—
1671C2×C4—5841no—
1672C2×C4—5841no—
1673C2×C4—5841no—
1674C2×C4—5841no—
1675C2×C4—5841no—
1676C2×C4—5841no—
1677C2×C4—5841no—
1678C2×C4—5841no—
1679C2×C4—731no—
1680C2×C4—731no—
1681C2×C4—731no—
1682C2×C4—731no—
1683C2×C4—731no—
1684C2×C4—731no—
1685C2×C4—731no—
1686C2×C4—1461no—
1687C2×C4—1461no—
1688C2×C4—1461no—
1689C2×C4—1461no—
1690C2×C4—1461no—
1691C2×C4—1462no—
1692C2×C4—1462no—
1693C2×C4—1461no—
1694C2×C4—1461no—
1695C2×C4C2×D4×D7311yescharacteristic
1696C2×C4C2×D4×D7311yescharacteristic
1697C2×C4C2×D4×D7311yescharacteristic
1698C2×C4C2×D4×D7311yescharacteristic
1699C2×C4C24×D7311yescharacteristic
1700C8—21no—
1701C8—21no—
1702C8—21no—
1703C8—21no—
1704C8—732no—
1705C8—1461no—
1706C8—1461no—
1707C8—1461no—
1708C22—21no—
1709C22—21no—
1710C22—21no—
1711C22—21no—
1712C22—21no—
1713C22—22no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—84no—
1723C22—162no—
1724C22—2921no—
1725C22—2921no—
1726C22—2921no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—5844no—
1733C22—11682no—
1734C22—1461no—
1735C22—1461no—
1736C22—1462no—
1737C22—1461no—
1738C22#1798939312yes—
1739C22C22×D4×D7311yescharacteristic
1740C4—21no—
1741C4—21no—
1742C4—21no—
1743C4—21no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—41no—
1748C4—41no—
1749C4—2921no—
1750C4—2921no—
1751C4—2921no—
1752C4—2921no—
1753C4—2921no—
1754C4—732no—
1755C4—1461no—
1756C4—1461no—
1757C4—1461no—
1758C4—1461no—
1759C4—1461no—
1760C4—1461no—
1761C4C2×#41×D7311yescharacteristic
1762C4#1798942211yescharacteristic
1763C2—22no—
1764C2—41no—
1765C2—42no—
1766C2—81no—
1767C2—81no—
1768C2—2922no—
1769C2—2921no—
1770C2—5841no—
1771C2—5841no—
1772C2#2262341511yescharacteristic
1773C2#576×D7311yescharacteristic
1774C2C2×#1798939311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3295C2
socleC22×C73C23×D4
hypercenter#3295D73
hypocenterC73#61496
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3295

Complements

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

NH ≅ G/Ntype
1. #22623976C2semidirect
2. #22623950C2semidirect
3. #22622946C2semidirect
4. #22622825C2semidirect
5. #22622581C2semidirect
6. #22622563C2semidirect
7. #22622519C2semidirect
8. #22622414C2semidirect
9. #22622410C2semidirect
10. #22621854C2semidirect
11. #22621787C2semidirect
12. #22621783C2semidirect
13. #22621751C2semidirect
14. #22621740C2semidirect
15. #22621529C2semidirect
16. #22621415C2semidirect
17. #22621407C2semidirect
18. #22620621C2semidirect
19. #22620609C2semidirect
20. #22620485C2semidirect
21. #22620129C2semidirect
22. #22620125C2semidirect
23. #22620120C2semidirect
24. #22620116C2semidirect
25. #22620025C2semidirect
26. #22620019C2semidirect
27. #22618899C2semidirect
28. #22618758C2semidirect
29. #22618757C2semidirect
30. C2×#17988667C2semidirect
31. C73×#3295C2semidirect
35. #17989309C22semidirect
36. #17989301C22semidirect
37. #17989296C22semidirect
38. #17989292C22semidirect
45. #17989257C22semidirect
46. #17989252C22semidirect
48. #17989239C22semidirect
49. #17989238C22semidirect
50. #17989233C22semidirect
52. #17989228C22semidirect
56. D4×C22⋊D73C22semidirect
57. #17989211C22semidirect
58. #17989210C22semidirect
59. #17989191C22semidirect
60. #17989190C22semidirect
65. #17989139C22semidirect
72. #17989069C22semidirect
73. #17989068C22semidirect
74. #17989062C22semidirect
75. #17989059C22semidirect
77. C2×#14556553C22semidirect
78. #17988994C22semidirect
79. #17988993C22semidirect
80. #17988984C22semidirect
81. #17988974C22semidirect
82. #17988973C22semidirect
83. #17988958C22semidirect
84. #17988943C22semidirect
85. #17988942C22semidirect
86. #17988936C22semidirect
87. #17988932C22semidirect
88. #17988932C22semidirect
89. #17988931C22semidirect
90. #17988925C22semidirect
91. #17988923C22semidirect
92. #17988920C22semidirect
93. #17988913C22semidirect
94. #17988912C22semidirect
95. #17988905C22semidirect
96. #17988904C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988897C22semidirect
100. #17988894C22semidirect
101. #17988888C22semidirect
102. #17988886C22semidirect
103. #17988876C22semidirect
104. #17988876C22semidirect
105. #17988875C22semidirect
106. #17988865C22semidirect
107. #17988865C22semidirect
108. #17988865C22semidirect
109. #17988864C22semidirect
110. #17988839C22semidirect
111. #17988838C22semidirect
112. #17988835C22semidirect
113. #17988832C22semidirect
114. #17988823C22semidirect
115. #17988822C22semidirect
116. #17988818C22semidirect
117. #17988816C22semidirect
118. #17988815C22semidirect
119. #17988814C22semidirect
121. #17988804C22semidirect
122. #17988803C22semidirect
124. #17988790C22semidirect
125. #17988790C22semidirect
126. #17988786C22semidirect
127. #17988781C22semidirect
128. #17988781C22semidirect
129. #17988781C22semidirect
130. #17988779C22semidirect
131. #17988739C22semidirect
133. #17988734C22semidirect
134. #17988731C22semidirect
135. #17988731C22semidirect
136. #17988730C22semidirect
137. #17988723C22semidirect
140. #17988720C22semidirect
141. #17988716C22semidirect
142. C8×Dic146C22semidirect
143. #17988698C22semidirect
144. #17988698C22semidirect
147. #17988696C22semidirect
148. #17988696C22semidirect
149. #17988688C22semidirect
150. #17988688C22semidirect
151. #17988685C22semidirect
152. #17988684C22semidirect
153. #17988684C22semidirect
154. #17988684C22semidirect
155. #17988678C22semidirect
156. #17988678C22semidirect
157. SD16×Dic73C22semidirect
158. #17988674C22semidirect
159. #17988672C22semidirect
160. C4×D584C22semidirect
165. #17988667C22semidirect
166. #17988667C22semidirect
167. #17988667C22semidirect
168. #17988667C22semidirect
169. #17988667C22semidirect
170. #17988662C22semidirect
171. #17988659C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988647C22semidirect
176. #17988645C22semidirect
177. #17988641C22semidirect
178. #17988627C22semidirect
179. #17988626C22semidirect
180. C2×#14556524C22semidirect
181. #17988584C22semidirect
182. #17988582C22semidirect
183. C2×#14556513C22semidirect
184. #102×D73C22semidirect
185. #17988542C22semidirect
186. #17988541C22semidirect
187. C2×C8×Dic73C22semidirect
188. #554×C73C22semidirect
190. #486×C73C22semidirect
191. #481×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #465×C73C22semidirect
195. #465×C73C22semidirect
196. #460×C73C22semidirect
198. #450×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
202. C2×#102×C73C22semidirect
557. #11924013#41semidirect
901. #3295D73semidirect
919. C73#61496semidirect
927. #554C2×D73semidirect
979. #486C2×D73semidirect
988. #481C2×D73semidirect
989. #481C2×D73semidirect
999. #476C2×D73semidirect
1014. #465C2×D73semidirect
1015. #465C2×D73semidirect
1023. #460C2×D73semidirect
1031. #450C2×D73semidirect
1059. C4×SD16C2×D73semidirect
1075. C8×D4C2×D73semidirect
1087. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239762
#226239502
#226229462
#226228252
#226225812
#226225632
#226225192
#226224142
#226224102
#226218542
#226217872
#226217832
#226217512
#226217402
#226215292
#226214152
#226214072
#226206212
#226206092
#226204852
#226201292
#226201252
#226201202
#226201162
#226200252
#226200192
#226188992
#226187582
#226187572
C2×#179886672
C73×#32952
#6149673