Finite Group Databasebeta

← #33983193

Subgroups — #33983193

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624572C211yesmaximal, characteristic, complemented
2#22623873C211yesmaximal, characteristic, complemented
3#22622884C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622702C211yesmaximal, characteristic, complemented
6#22622590C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622492C211yesmaximal, characteristic, complemented
9#22622488C211yesmaximal, characteristic, complemented
10#22622458C211yesmaximal, characteristic, complemented
11#22622367C211yesmaximal, characteristic, complemented
12#22622329C211yesmaximal, characteristic, complemented
13#22622159C211yesmaximal, characteristic, complemented
14#22622148C211yesmaximal, characteristic, complemented
15#22622133C211yesmaximal, characteristic, complemented
16#22622083C211yesmaximal, characteristic, complemented
17#22622069C211yesmaximal, characteristic, complemented
18#22621767C211yesmaximal, characteristic, complemented
19#22621394C211yesmaximal, characteristic, complemented
20#22621344C211yesmaximal, characteristic, complemented
21#22621334C211yesmaximal, characteristic, complemented
22#22621236C211yesmaximal, characteristic, complemented
23#22621184C211yesmaximal, characteristic, complemented
24#22621115C211yesmaximal, characteristic, complemented
25#22620208C211yesmaximal, characteristic, complemented
26#22620122C211yesmaximal, characteristic, complemented
27#22619983C211yesmaximal, characteristic, complemented
28#22619759C211yesmaximal, characteristic, complemented
29#22619723C211yesmaximal, characteristic, complemented
30#22619078C211yesmaximal, characteristic, complemented
31C73×#3083C211yesmaximal, characteristic, complemented
32#17989341—21no—
33#17989333—21no—
34#17989322C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989311C2211yescharacteristic
37#17989308—21no—
38#17989300C2211yescharacteristic, complemented
39#17989298C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic
41#17989290C2211yescharacteristic
42#17989286—21no—
43#17989285C2211yescharacteristic
44#17989285C2211yescharacteristic, complemented
45#17989278C2211yescharacteristic
46#17989276C2211yescharacteristic, complemented
47#17989272C2211yescharacteristic, complemented
48#17989269—21no—
49#17989261—21no—
50#17989261—21no—
51#17989238C2211yescharacteristic
52#17989233—21no—
53#17989225C2211yescharacteristic
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic
56#17989217C2211yescharacteristic, complemented
57#17989211—21no—
58#17989211C2211yescharacteristic, complemented
59#17989210—21no—
60#17989209C2211yescharacteristic
61#17989208C2211yescharacteristic, complemented
62#17989198—21no—
63#17989192C2211yescharacteristic
64#17989184—21no—
65#17989183—21no—
66#17989170—21no—
67#17989142C2211yescharacteristic, complemented
68#17989124C2211yescharacteristic
69#17989122C2211yescharacteristic, complemented
70#17989115C2211yescharacteristic
71#17989096—21no—
72C2×#14556576—21no—
73#17989059C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988993C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988953C2211yescharacteristic
82#17988948C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988943C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988935C2211yescharacteristic
87#17988930C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic
95#17988914C2211yescharacteristic
96#17988914C2211yescharacteristic
97#17988914C2211yescharacteristic, complemented
98#17988911C2211yescharacteristic, complemented
99#17988911C2211yescharacteristic, complemented
100#17988907C2211yescharacteristic
101#17988907C2211yescharacteristic, complemented
102#17988905C2211yescharacteristic, complemented
103#17988905C2211yescharacteristic, complemented
104#17988900C2211yescharacteristic, complemented
105#17988897C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988890C2211yescharacteristic, complemented
108#17988890C2211yescharacteristic, complemented
109#17988890C2211yescharacteristic, complemented
110#17988890C2211yescharacteristic, complemented
111#17988889C2211yescharacteristic
112#17988889C2211yescharacteristic
113#17988888C2211yescharacteristic, complemented
114#17988885C2211yescharacteristic
115#17988884C2211yescharacteristic, complemented
116#17988884C2211yescharacteristic, complemented
117#17988881C2211yescharacteristic, complemented
118#17988878C2211yescharacteristic, complemented
119#17988877C2211yescharacteristic
120#17988876C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic, complemented
122#17988872C2211yescharacteristic, complemented
123#17988868C2211yescharacteristic, complemented
124#17988866C2211yescharacteristic, complemented
125#17988865C2211yescharacteristic
126#17988864C2211yescharacteristic, complemented
127#17988844C2211yescharacteristic, complemented
128#17988841C2211yescharacteristic
129#17988840C2211yescharacteristic, complemented
130#17988836C2211yescharacteristic, complemented
131#17988836C2211yescharacteristic, complemented
132#17988834C2211yescharacteristic
133#17988834C2211yescharacteristic
134#17988833C2211yescharacteristic, complemented
135#17988827C2211yescharacteristic, complemented
136#17988824C2211yescharacteristic
137#17988823C2211yescharacteristic, complemented
138#17988816C2211yescharacteristic, complemented
139#17988812C2211yescharacteristic, complemented
140#17988812C2211yescharacteristic, complemented
141#17988809C2211yescharacteristic, complemented
142#17988805C2211yescharacteristic, complemented
143#17988805C2211yescharacteristic, complemented
144#17988803C2211yescharacteristic, complemented
145#17988803C2211yescharacteristic, complemented
146#17988802C2211yescharacteristic
147#17988788C2211yescharacteristic
148#17988783C2211yescharacteristic
149#17988749C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988739C2211yescharacteristic
152#17988732C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988722C2211yescharacteristic
155#17988716C2211yescharacteristic, complemented
156#17988711C2211yescharacteristic, complemented
157#17988697C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988692C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic
162#17988678C2211yescharacteristic
163C4×#11924015C2211yescharacteristic, complemented
164#17988674C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic
166#17988669C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic
169#17988664C2211yescharacteristic
170#17988663C2211yescharacteristic, complemented
171#17988663C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988657C2211yescharacteristic
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988648C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988639C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988628C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#17988624C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988609C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988590C2211yescharacteristic
186#17988590C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#544×C73C2211yescharacteristic, complemented
189#520×C73C2211yescharacteristic
190#479×C73C2211yescharacteristic, complemented
191#479×C73C2211yescharacteristic, complemented
192#478×C73C2211yescharacteristic
193#478×C73C2211yescharacteristic
194#477×C73C2211yescharacteristic, complemented
195#477×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic
197#474×C73C2211yescharacteristic
198#428×C73C2211yescharacteristic, complemented
199C2×#107×C73C2211yescharacteristic, complemented
200#424×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic
203C2×#11924028—21no—
204C22×D292—21no—
205C2×D4×D73C2311yescharacteristic
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73—21no—
208C2×#11924018C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924017C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×D584C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219C2×C8×D73C2311yescharacteristic
220#14556591C2311yescharacteristic
221#14556590—21no—
222#14556590—21no—
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556588C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586D411yescharacteristic
237#14556585—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556583—21no—
242#14556583C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556580—21no—
254#14556580—21no—
255#14556580C2311yescharacteristic
256#14556580C2311yescharacteristic
257#14556579—21no—
258#14556579—21no—
259#14556579—21no—
260#14556579C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577D411yescharacteristic
264#14556576—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576D411yescharacteristic
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556574—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573D411yescharacteristic
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556569D411yescharacteristic
297#14556568—21no—
298#14556568—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567C2311yescharacteristic
304#14556567C2311yescharacteristic
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565—21no—
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564D411yescharacteristic
320#14556563—21no—
321#14556563—21no—
322#14556561—21no—
323#14556561—21no—
324#14556559—21no—
325#14556559—21no—
326Q8×Dic73—21no—
327Q8×Dic73—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330#14556556—21no—
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334C4×D292—21no—
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556550—21no—
357#14556549—21no—
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556549C2311yescharacteristic
361#14556549C2311yescharacteristic
362#14556548—21no—
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548C2311yescharacteristic
367C2×#11924007—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73C2311yescharacteristic
370C4⋊C4×D73C2311yescharacteristic
371C2×#11924005—21no—
372C2×#11924005—21no—
373C2×#11924005—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73—21no—
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556511C2311yescharacteristic
414#14556511C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×#41×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73—21no—
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73—21no—
442#125×C73C2311yescharacteristic
443#125×C73C2311yescharacteristic
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452#117×C73—21no—
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73—21no—
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479C23×D73—21no—
480#11924028—82no—
481C2×Dic146—21no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146C2×D411yescharacteristic
485C2×Dic146C2411yescharacteristic
486C2×D292—21no—
487C2×D292—21no—
488C2×D292—21no—
489C2×D292—21no—
490C2×D292—21no—
491C2×D292—21no—
492C2×D292—82no—
493C2×D292C2×D411yescharacteristic
494C2×D292C2411yescharacteristic
495C2×D292C2411yescharacteristic
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73C2×D411yescharacteristic
503C2×C22⋊D73C2×D411yescharacteristic
504D4×D73—22no—
505D4×D73—22no—
506D4×D73—41no—
507D4×D73—41no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—82no—
520C2×C4×D73C2×D411yescharacteristic
521C2×C4×D73C2×D411yescharacteristic
522C2×C4×D73C2411yescharacteristic
523C2×C4×D73C2411yescharacteristic
524#11924018—41no—
525#11924017—41no—
526#11924017—41no—
527#11924016—22no—
528#11924015—41no—
529D584—41no—
530D584—41no—
531#11924013—22no—
532#11924011—41no—
533#11924011—41no—
534#11924011—41no—
535C2×#10596831C2411yescharacteristic
536C2×#10596831C2411yescharacteristic
537C2×#10596831C2411yescharacteristic
538C2×#10596831C2411yescharacteristic
539C8×D73—41no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575C22⋊Dic73—21no—
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73C2×D411yescharacteristic
579C22⋊Dic73C2×D411yescharacteristic
580#11924005—21no—
581#11924005—21no—
582#11924005—21no—
583#11924005—21no—
584#11924005—21no—
585#11924005—21no—
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C4×Dic73C2411yescharacteristic
625#41×C73—22no—
626#41×C73—41no—
627C2×Q8×C73—21no—
628C2×Q8×C73—21no—
629C2×Q8×C73C2411yescharacteristic
630C2×D4×C73—21no—
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73C2411yescharacteristic
638M16×C73—41no—
639C2×C8×C73—41no—
640C2×C8×C73C2411yescharacteristic
641C2×C8×C73C2411yescharacteristic
642C2×C8×C73C2411yescharacteristic
643C2×C8×C73C2411yescharacteristic
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2×D411yescharacteristic
655C4⋊C4×C73C2×D411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73C2×D411yescharacteristic
666C22⋊C4×C73C2×D411yescharacteristic
667C42×C73—21no—
668C42×C73—21no—
669C42×C73—21no—
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73C22×D411yescharacteristic
674C22×D73—21no—
675C22×D73—21no—
676C22×D73—21no—
677C22×D73—42no—
678C22×D73—42no—
679C22×D73—42no—
680C22×D73—81no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688Q8×C73—81no—
689D4×C73—21no—
690D4×C73—42no—
691D4×C732−1+412yes—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—42no—
702C2×C4×C73—81no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73C22×D411yescharacteristic
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C2511yescharacteristic
712C22⋊D73—41no—
713C22⋊D73—41no—
714C22⋊D73—42no—
715C22⋊D73—42no—
716C22⋊D73—81no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C2×Dic73—21no—
720C2×Dic73—21no—
721C2×Dic73—21no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—81no—
725C2×Dic73—81no—
726C2×Dic73C22×D411yescharacteristic
727C2×Dic73C22×D411yescharacteristic
728C2×Dic73C22×D411yescharacteristic
729C2×Dic73C22×D411yescharacteristic
730C2×Dic73C22×D411yescharacteristic
731C2×Dic73C22×D411yescharacteristic
732D292—21no—
733D292—21no—
734D292—21no—
735D292—21no—
736D292—21no—
737D292—21no—
738D292—41no—
739D292—42no—
740D292—81no—
741D292—81no—
742D292—81no—
743D292—81no—
744D292—81no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—41no—
750C4×D73—41no—
751C4×D73—42no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760Dic146—21no—
761Dic146—21no—
762Dic146—41no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73C23×D411yescharacteristic
781C2×D73—21no—
782C2×D73—21no—
783C2×D73—21no—
784C2×D73—21no—
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—41no—
788C2×D73—41no—
789C2×D73—41no—
790C2×D73—41no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—84no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73C2×2−1+411yescharacteristic
811C4×C73#58511yescharacteristic
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73#348911yescharacteristic
827C2×C73#358411yescharacteristic
828C2×C73#358511yescharacteristic
829D73—41no—
830D73—41no—
831D73—81no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083D7311yescharacteristic, complemented
862#3081—731no—
863#3077—731no—
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544C2×D7311yescharacteristic, complemented
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533—731no—
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520C2×D7311yescharacteristic
909#518—731no—
910C2×C4×D4—731no—
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479C2×D7311yescharacteristic, complemented
944#479C2×D7311yescharacteristic, complemented
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478—731no—
954#478—731no—
955#478C2×D7311yescharacteristic
956#478C2×D7311yescharacteristic
957#477—731no—
958#477C2×D7311yescharacteristic, complemented
959#477C2×D7311yescharacteristic, complemented
960#476—731no—
961#476—731no—
962#476—731no—
963#476—731no—
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474C2×D7311yescharacteristic
970#474C2×D7311yescharacteristic
971#470—731no—
972#469—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428—731no—
1025#428C2×D7311yescharacteristic, complemented
1026#427—731no—
1027C2×#107C2×D7311yescharacteristic, complemented
1028#424—731no—
1029#424C2×D7311yescharacteristic, complemented
1030#423—731no—
1031#418—731no—
1032#418—731no—
1033#418—731no—
1034#417C2×D7311yescharacteristic
1035#416C2×D7311yescharacteristic
1036C2×#102—731no—
1037C2×#41—1461no—
1038C2×#41C22×D7311yescharacteristic
1039C22×D4—731no—
1040C22×D4—731no—
1041C22×D4—1461no—
1042C23×C4—1461no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16—731no—
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8C22×D7311yescharacteristic
1057C4⋊Q8—21no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—731no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—731no—
1067#126—731no—
1068#126—1461no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—21no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—731no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#123—731no—
1108#123—731no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—731no—
1172C4×Q8—731no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—1461no—
1176C4×Q8—1461no—
1177C4×Q8—1461no—
1178C4×Q8—1461no—
1179C4×Q8C22×D7311yescharacteristic
1180C4×Q8C22×D7311yescharacteristic
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—21no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—731no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—21no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4C22×D7311yescharacteristic
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—1461no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42—731no—
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107C22×D7311yescharacteristic
1241#107C22×D7311yescharacteristic
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103C22×D7311yescharacteristic
1275#103C22×D7311yescharacteristic
1276#103C22×D7311yescharacteristic
1277#103C22×D7311yescharacteristic
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—1461no—
1313C24—1461no—
1314#41—22no—
1315#41—41no—
1316#41—5842no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—731no—
1320C2×Q8—731no—
1321C2×Q8—1461no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8C23×D7311yescharacteristic
1325C2×D4—21no—
1326C2×D4—2921no—
1327C2×D4—2921no—
1328C2×D4—5842no—
1329C2×D4—731no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1462no—
1342C2×D4—1462no—
1343C2×D4—1461no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4—1461no—
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—5842no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—731no—
1358C22×C4—731no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—2921no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—41no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—731no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4D4×D7311yescharacteristic
1439C4⋊C4D4×D7311yescharacteristic
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—731no—
1450C22⋊C4—731no—
1451C22⋊C4—731no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C22⋊C4—1461no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4D4×D7311yescharacteristic
1489C22⋊C4D4×D7311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—731no—
1494C42—731no—
1495C42—731no—
1496C42—731no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42—1461no—
1503C42—1461no—
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—2922no—
1508C23—2922no—
1509C23—2922no—
1510C23—5841no—
1511C23—5841no—
1512C23—5841no—
1513C23—731no—
1514C23—731no—
1515C23—1461no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—81no—
1523Q8—2921no—
1524Q8—5841no—
1525Q8—5841no—
1526Q8—5841no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—42no—
1531D4—2921no—
1532D4—2922no—
1533D4—2922no—
1534D4—2922no—
1535D4—2921no—
1536D4—2921no—
1537D4—5841no—
1538D4—5841no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—1461no—
1546D4—1461no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550D4—1461no—
1551D4#1455663912yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—42no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—2921no—
1567C2×C4—2921no—
1568C2×C4—2922no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—5841no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—2921no—
1615C22—2921no—
1616C22—2921no—
1617C22—2921no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—5844no—
1624C22—11682no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663911yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—2921no—
1660C2—2921no—
1661C2—5841no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360711yescharacteristic
1665C2#2262470111yescharacteristic
1666C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3083C2
socleC22×C73C23×D4
hypercenter#3083D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3083

Complements

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

NH ≅ G/Ntype
1. #22624572C2semidirect
2. #22623873C2semidirect
3. #22622884C2semidirect
4. #22622801C2semidirect
5. #22622702C2semidirect
6. #22622590C2semidirect
7. #22622522C2semidirect
8. #22622492C2semidirect
9. #22622488C2semidirect
10. #22622458C2semidirect
11. #22622367C2semidirect
12. #22622329C2semidirect
13. #22622159C2semidirect
14. #22622148C2semidirect
15. #22622133C2semidirect
16. #22622083C2semidirect
17. #22622069C2semidirect
18. #22621767C2semidirect
19. #22621394C2semidirect
20. #22621344C2semidirect
21. #22621334C2semidirect
22. #22621236C2semidirect
23. #22621184C2semidirect
24. #22621115C2semidirect
25. #22620208C2semidirect
26. #22620122C2semidirect
27. #22619983C2semidirect
28. #22619759C2semidirect
29. #22619723C2semidirect
30. #22619078C2semidirect
31. C73×#3083C2semidirect
35. #17989314C22semidirect
38. #17989300C22semidirect
39. #17989298C22semidirect
44. #17989285C22semidirect
46. #17989276C22semidirect
47. #17989272C22semidirect
56. #17989217C22semidirect
58. #17989211C22semidirect
61. #17989208C22semidirect
67. #17989142C22semidirect
69. #17989122C22semidirect
75. #17988995C22semidirect
76. #17988993C22semidirect
77. #17988988C22semidirect
78. #17988988C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
82. #17988948C22semidirect
83. #17988943C22semidirect
84. #17988943C22semidirect
85. #17988943C22semidirect
87. #17988930C22semidirect
88. #17988927C22semidirect
89. #17988927C22semidirect
90. #17988926C22semidirect
91. #17988924C22semidirect
92. #17988917C22semidirect
93. #17988916C22semidirect
97. #17988914C22semidirect
98. #17988911C22semidirect
99. #17988911C22semidirect
101. #17988907C22semidirect
102. #17988905C22semidirect
103. #17988905C22semidirect
104. #17988900C22semidirect
105. #17988897C22semidirect
106. #17988895C22semidirect
107. #17988890C22semidirect
108. #17988890C22semidirect
109. #17988890C22semidirect
110. #17988890C22semidirect
113. #17988888C22semidirect
115. #17988884C22semidirect
116. #17988884C22semidirect
117. #17988881C22semidirect
118. #17988878C22semidirect
120. #17988876C22semidirect
121. #17988874C22semidirect
122. #17988872C22semidirect
123. #17988868C22semidirect
124. #17988866C22semidirect
126. #17988864C22semidirect
127. #17988844C22semidirect
129. #17988840C22semidirect
130. #17988836C22semidirect
131. #17988836C22semidirect
134. #17988833C22semidirect
135. #17988827C22semidirect
137. #17988823C22semidirect
138. #17988816C22semidirect
139. #17988812C22semidirect
140. #17988812C22semidirect
141. #17988809C22semidirect
142. #17988805C22semidirect
143. #17988805C22semidirect
144. #17988803C22semidirect
145. #17988803C22semidirect
155. #17988716C22semidirect
156. #17988711C22semidirect
159. #17988692C22semidirect
160. #17988686C22semidirect
163. C4×#11924015C22semidirect
164. #17988674C22semidirect
166. #17988669C22semidirect
167. #17988669C22semidirect
170. #17988663C22semidirect
171. #17988663C22semidirect
172. #17988658C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988648C22semidirect
176. #17988647C22semidirect
177. #17988639C22semidirect
178. #17988628C22semidirect
179. #17988628C22semidirect
180. #17988626C22semidirect
181. #17988624C22semidirect
182. #17988612C22semidirect
183. #17988609C22semidirect
188. #544×C73C22semidirect
190. #479×C73C22semidirect
191. #479×C73C22semidirect
194. #477×C73C22semidirect
195. #477×C73C22semidirect
198. #428×C73C22semidirect
199. C2×#107×C73C22semidirect
200. #424×C73C22semidirect
861. #3083D73semidirect
865. C73#62175semidirect
891. #544C2×D73semidirect
943. #479C2×D73semidirect
944. #479C2×D73semidirect
958. #477C2×D73semidirect
959. #477C2×D73semidirect
1025. #428C2×D73semidirect
1027. C2×#107C2×D73semidirect
1029. #424C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245722
#226238732
#226228842
#226228012
#226227022
#226225902
#226225222
#226224922
#226224882
#226224582
#226223672
#226223292
#226221592
#226221482
#226221332
#226220832
#226220692
#226217672
#226213942
#226213442
#226213342
#226212362
#226211842
#226211152
#226202082
#226201222
#226199832
#226197592
#226197232
#226190782
C73×#30832
#6217573