Finite Group Databasebeta

← #33967939

Subgroups — #33967939

Order 18688.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623535C211yesmaximal, characteristic
2#22623509C211yesmaximal, characteristic, complemented
3#22622979C211yesmaximal, characteristic, complemented
4#22622836C211yesmaximal, characteristic, complemented
5#22622748C211yesmaximal, characteristic, complemented
6#22622707C211yesmaximal, characteristic, complemented
7#22622420C211yesmaximal, characteristic, complemented
8#22622413C211yesmaximal, characteristic, complemented
9#22622318C211yesmaximal, characteristic, complemented
10#22622109C211yesmaximal, characteristic, complemented
11#22622100C211yesmaximal, characteristic, complemented
12#22622016C211yesmaximal, characteristic, complemented
13#22622009C211yesmaximal, characteristic, complemented
14#22621805C211yesmaximal, characteristic, complemented
15#22621748C211yesmaximal, characteristic, complemented
16#22621625C211yesmaximal, characteristic, complemented
17#22621447C211yesmaximal, characteristic, complemented
18#22621445C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620636C211yesmaximal, characteristic, complemented
21#22620634C211yesmaximal, characteristic, complemented
22#22620104C211yesmaximal, characteristic, complemented
23#22620100C211yesmaximal, characteristic, complemented
24#22620089C211yesmaximal, characteristic, complemented
25#22620051C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618753C211yesmaximal, characteristic, complemented
29C2×#17988687C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3110C211yesmaximal, characteristic, complemented
32C2×#14556620C2211yescharacteristic
33C22×#11924016C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989320C2211yescharacteristic
36#17989317C2211yescharacteristic, complemented
37#17989314—21no—
38#17989312C2211yescharacteristic, complemented
39#17989298C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic
41#17989295C2211yescharacteristic
42#17989295C2211yescharacteristic, complemented
43#17989293—21no—
44#17989292C2211yescharacteristic
45#17989291—21no—
46#17989291—21no—
47#17989287C2211yescharacteristic
48#17989286—21no—
49#17989285C2211yescharacteristic
50#17989266—21no—
51#17989263—21no—
52#17989252C2211yescharacteristic, complemented
53#17989250C2211yescharacteristic
54#17989250C2211yescharacteristic, complemented
55#17989232C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989227—21no—
58D4×C22⋊D73C2211yescharacteristic
59#17989141—21no—
60#17989141—21no—
61#17989141C2211yescharacteristic, complemented
62#17989141C2211yescharacteristic, complemented
63#17989140—21no—
64#17989134C2211yescharacteristic
65#17989121C2211yescharacteristic
66#17989119C2211yescharacteristic
67#17989117—21no—
68#17989098—21no—
69#17989096—21no—
70C4×#11924028C2211yescharacteristic
71#17989055—21no—
72C4×#11924027C2211yescharacteristic
73C2×C4×Dic146C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C4×Q8×D73C2211yescharacteristic, complemented
76C2×C4×C22⋊D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988995C2211yescharacteristic, complemented
79#17988993C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988955C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988949C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988930C2211yescharacteristic, complemented
91#17988926C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988906C2211yescharacteristic
97#17988904C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988895C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988881C2211yescharacteristic, complemented
105#17988881C2211yescharacteristic, complemented
106#17988880C2211yescharacteristic, complemented
107#17988875C2211yescharacteristic
108#17988866C2211yescharacteristic, complemented
109#17988865C2211yescharacteristic
110#17988836C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988829C2211yescharacteristic, complemented
115#17988827C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988826C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic
119#17988818C2211yescharacteristic
120#17988815C2211yescharacteristic
121#17988813C2211yescharacteristic
122#17988810C2211yescharacteristic, complemented
123#17988810C2211yescharacteristic, complemented
124#17988808C2211yescharacteristic, complemented
125#17988807C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic
129#17988790C2211yescharacteristic
130#17988786C2211yescharacteristic
131#17988785C2211yescharacteristic
132#17988750C2211yescharacteristic
133#17988746C2211yescharacteristic
134#17988745C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic
137#17988736C2211yescharacteristic
138#17988728C2211yescharacteristic
139#17988727C2211yescharacteristic, complemented
140#17988724C2211yescharacteristic
141#17988724C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988695C2211yescharacteristic, complemented
145#17988695C2211yescharacteristic, complemented
146#17988692C2211yescharacteristic, complemented
147#17988692C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic, complemented
149#17988689C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988687C2211yescharacteristic
155#17988687C2211yescharacteristic
156#17988687C2211yescharacteristic, complemented
157#17988687C2211yescharacteristic, complemented
158#17988687C2211yescharacteristic, complemented
159#17988687C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic
164#17988681C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988678C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988628C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic
181C2×#14556514C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#533×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#484×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#474×C73C2211yescharacteristic
193#474×C73C2211yescharacteristic, complemented
194#461×C73C2211yescharacteristic
195#461×C73C2211yescharacteristic, complemented
196#450×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#440×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212#14556620—24no—
213C2×Dic292C2311yescharacteristic
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016—24no—
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226SD16×D73—24no—
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C2×C8×D73C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233#14556590—21no—
234#14556590—21no—
235#14556590—21no—
236#14556590—21no—
237#14556590C2311yescharacteristic
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556589—21no—
241#14556589—21no—
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556587C2311yescharacteristic
245#14556586—21no—
246#14556585—21no—
247#14556584—21no—
248#14556584—21no—
249#14556583C2311yescharacteristic
250#14556582—21no—
251#14556582—21no—
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556579C2311yescharacteristic
261#14556578C2311yescharacteristic
262#14556577—21no—
263#14556577—21no—
264#14556576—21no—
265#14556575—21no—
266#14556574—21no—
267#14556574—21no—
268#14556574—21no—
269#14556573—21no—
270#14556573—21no—
271#14556572—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571C2311yescharacteristic
275#14556571C2311yescharacteristic
276#14556571C2311yescharacteristic
277#14556570—21no—
278#14556570—21no—
279#14556570C2311yescharacteristic
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556569—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556567—21no—
294#14556567—21no—
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic
297#14556566C2311yescharacteristic
298#14556565—21no—
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556562C2311yescharacteristic
306#14556562C2311yescharacteristic
307#14556561—21no—
308#14556560—21no—
309#14556560—21no—
310#14556559—21no—
311Q8×Dic73C2311yescharacteristic
312Q8×Dic73C2311yescharacteristic
313C4×Dic146—21no—
314C4×Dic146—21no—
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146D411yescharacteristic
320C4×Dic146C2311yescharacteristic
321C4×Dic146C2311yescharacteristic
322C4×Dic146C2311yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556—21no—
329#14556556—21no—
330#14556556C2311yescharacteristic
331#14556556C2311yescharacteristic
332#14556556C2311yescharacteristic
333C4×D292D411yescharacteristic
334C4×D292C2311yescharacteristic
335C4×D292C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338#14556553—21no—
339#14556553—21no—
340#14556553C2311yescharacteristic
341C4×C22⋊D73—21no—
342C4×C22⋊D73—21no—
343C4×C22⋊D73—21no—
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73D411yescharacteristic
351C4×C22⋊D73D411yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353C4×C22⋊D73C2311yescharacteristic
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556550—21no—
361#14556550D411yescharacteristic
362#14556549C2311yescharacteristic
363#14556548—21no—
364#14556548—21no—
365#14556548—21no—
366#14556548D411yescharacteristic
367#14556548D411yescharacteristic
368#14556547—21no—
369C2×C4⋊Dic73C2311yescharacteristic
370C2×#11924007—21no—
371C2×#11924007—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×C22⋊Dic73—21no—
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C2×C4×Dic73—21no—
381C2×C4×Dic73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556502C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C23×C4×C73—21no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C4⋊Q8×C73C2311yescharacteristic
445C4⋊Q8×C73C2311yescharacteristic
446#125×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73C2311yescharacteristic
449C22⋊Q8×C73C2311yescharacteristic
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×D4×C73—21no—
454C4×D4×C73—21no—
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459#117×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C22⋊C4×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482#11924028—24no—
483#11924028—82no—
484#11924027—22no—
485#11924027—41no—
486C2×Dic146—22no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—41no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×Dic146C2411yescharacteristic
497C2×Dic146C2411yescharacteristic
498Q8×D73—22no—
499Q8×D73—22no—
500Q8×D73—41no—
501Q8×D73—41no—
502C2×D292—21no—
503C2×D292C2×D411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—44no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—82no—
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2×D411yescharacteristic
532C2×C4×D73C2×D411yescharacteristic
533C2×C4×D73C2×D411yescharacteristic
534C2×C4×D73C2411yescharacteristic
535C2×C4×D73C2411yescharacteristic
536Dic292—22no—
537Dic292—41no—
538#11924018—22no—
539#11924018—41no—
540#11924017—22no—
541#11924017—41no—
542#11924016—22no—
543#11924016—22no—
544#11924016—22no—
545#11924016#4114yescomplemented
546#11924015—22no—
547#11924015—41no—
548#11924011—22no—
549#11924011—41no—
550C2×#10596831—22no—
551C2×#10596831—41no—
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C2×#10596831C2411yescharacteristic
555C2×#10596831C2411yescharacteristic
556C8×D73—22no—
557C8×D73—41no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
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#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597#11924007C2×D411yescharacteristic
598#11924007C2×D411yescharacteristic
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
608#11924005—21no—
609#11924005—21no—
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#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C24×C73—21no—
642C2×Q8×C73—21no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×D4×C73—22no—
646C2×D4×C73—21no—
647C2×D4×C73—41no—
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—82no—
656C22×C4×C73C2×D411yescharacteristic
657C22×C4×C73C2×D411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659SD16×C73—22no—
660SD16×C73—22no—
661SD16×C73—41no—
662SD16×C73—41no—
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C4⋊C4×C73—21no—
668C4⋊C4×C73—21no—
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73—21no—
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2×D411yescharacteristic
688C42×C73C2×D411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73—21no—
693C23×C73—42no—
694C23×C73—42no—
695C23×C73—81no—
696C23×C73C22×D411yescharacteristic
697C22×D73—21no—
698C22×D73—42no—
699C22×D73—42no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—81no—
708D4×C73—21no—
709D4×C73—21no—
710D4×C73—21no—
711D4×C73—42no—
712D4×C73C2×#4112yes—
713C2×C4×C73—22no—
714C2×C4×C73—21no—
715C2×C4×C73—21no—
716C2×C4×C73—21no—
717C2×C4×C73—21no—
718C2×C4×C73—21no—
719C2×C4×C73—21no—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—41no—
723C2×C4×C73—42no—
724C2×C4×C73—42no—
725C2×C4×C73—81no—
726C2×C4×C73—81no—
727C2×C4×C73—81no—
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C2511yescharacteristic
734C22⋊D73—22no—
735C22⋊D73—42no—
736C22⋊D73—42no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—42no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73#13714yescomplemented
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—21no—
750C2×Dic73—42no—
751C2×Dic73—42no—
752C2×Dic73—42no—
753C2×Dic73—81no—
754C2×Dic73—81no—
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757C2×Dic73C22×D411yescharacteristic
758C2×Dic73C22×D411yescharacteristic
759C2×Dic73C22×D411yescharacteristic
760C2×Dic73C22×D411yescharacteristic
761D292—22no—
762D292—21no—
763D292—21no—
764D292—81no—
765C4×D73—22no—
766C4×D73—21no—
767C4×D73—21no—
768C4×D73—21no—
769C4×D73—21no—
770C4×D73—22no—
771C4×D73—41no—
772C4×D73—41no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780Dic146—21no—
781Dic146—22no—
782Dic146—21no—
783Dic146—21no—
784Dic146—21no—
785Dic146—21no—
786Dic146—42no—
787Dic146—42no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146C2×#4112yes—
793C8×C73—21no—
794C8×C73—21no—
795C8×C73—21no—
796C8×C73—21no—
797#10596831—21no—
798#10596831—21no—
799#10596831—21no—
800#10596831C2×#4112yes—
801C22×C73—21no—
802C22×C73—21no—
803C22×C73—22no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73—41no—
807C22×C73—41no—
808C22×C73—41no—
809C22×C73—84no—
810C22×C73C2×#13712yes—
811C22×C73C23×D411yescharacteristic
812C2×D73—21no—
813C2×D73—21no—
814C2×D73—21no—
815C2×D73—21no—
816C2×D73—21no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—41no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—21no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73C22×#4111yescharacteristic
834C4×C73#58511yescharacteristic
835Dic73—21no—
836Dic73—21no—
837Dic73—22no—
838Dic73—21no—
839Dic73—21no—
840Dic73—21no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845Dic73—41no—
846Dic73—41no—
847Dic73C2×#13712yes—
848#61453—731nomaximal, Sylow
849C2×C73—22no—
850C2×C73—42no—
851C2×C73—81no—
852C2×C73D4×#4111yescharacteristic
853C2×C73C22×#13711yescharacteristic
854C2×C73#358511yescharacteristic
855D73—22no—
856D73—41no—
857D73—81no—
858#3481—731no—
859Q8×#41—731no—
860#3400—731no—
861#3385—731no—
862#3375—731no—
863#3372—731no—
864#3346—731no—
865#3346—731no—
866#3338—731no—
867#3320—731no—
868#3320—731no—
869#3314—731no—
870#3314—731no—
871#3299—731no—
872#3295—731no—
873D4×SD16—731no—
874#3266—731no—
875#3266—731no—
876#3182—731no—
877#3181—731no—
878#3181—731no—
879#3117—731no—
880#3117—731no—
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110D7311yescharacteristic, complemented
885#2970—731no—
886C4×#137—731no—
887C2×#440—731no—
888C2×#440—731no—
889C73#6145311yescharacteristic, complemented, Sylow
890C2×#137—731no—
891C22×SD16—731no—
892C22×SD16—731no—
893#559—731no—
894Q82—731no—
895#557—731no—
896#557—1461no—
897#554—731no—
898#554—731no—
899#554—731no—
900#554—731no—
901#554—731no—
902#554—1461no—
903#554—1461no—
904#554—1461no—
905#553—731no—
906#553—731no—
907#553—1461no—
908#551—1461no—
909#551—1461no—
910D4×Q8—731no—
911D4×Q8—731no—
912D4×Q8—731no—
913#546—731no—
914#546—731no—
915#546—1461no—
916D42—731no—
917#533—731no—
918#533—731no—
919#533—1461no—
920#533—1461no—
921#533—1461no—
922#533C2×D7311yescharacteristic, complemented
923#532—731no—
924#529—731no—
925#529—731no—
926#529—1461no—
927#525—1461no—
928#525—1461no—
929C4×#41—731no—
930C4×#41—731no—
931C4×#41—1461no—
932C2×C4×Q8—731no—
933C2×C4×Q8—731no—
934C2×C4×Q8—731no—
935C2×C4×D4—731no—
936C2×C4×D4—1461no—
937C2×C4×D4C2×D7311yescharacteristic
938#501—731no—
939#501—731no—
940#500—731no—
941#497—731no—
942#497—731no—
943#492—731no—
944#491—731no—
945#491—731no—
946#489—731no—
947#489—731no—
948#487—731no—
949#486—731no—
950#485—731no—
951#485—731no—
952#484—731no—
953#484—731no—
954#484—731no—
955#484—731no—
956#484C2×D7311yescharacteristic, complemented
957#484C2×D7311yescharacteristic, complemented
958#481—731no—
959#481—731no—
960#480—731no—
961#480—731no—
962#479—731no—
963#479—731no—
964#479—731no—
965#479—731no—
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474C2×D7311yescharacteristic
973#474C2×D7311yescharacteristic, complemented
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#467—731no—
979#467—731no—
980#467—731no—
981#467—731no—
982#465—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#464—731no—
987#464—731no—
988#464—731no—
989#464—731no—
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461C2×D7311yescharacteristic
995#461C2×D7311yescharacteristic, complemented
996#460—731no—
997#460—731no—
998#452—731no—
999#452—731no—
1000#451—731no—
1001#451—731no—
1002#450—731no—
1003#450—731no—
1004#450C2×D7311yescharacteristic
1005#450C2×D7311yescharacteristic
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448—731no—
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441—731no—
1015#441—731no—
1016#440—731no—
1017#440—731no—
1018#440—731no—
1019#440—731no—
1020#440—731no—
1021#440—731no—
1022#440—731no—
1023#440—731no—
1024#440—731no—
1025#440—731no—
1026#440—731no—
1027#440—731no—
1028#440—731no—
1029#440—731no—
1030#440—731no—
1031#440—731no—
1032#440C2×D7311yescharacteristic
1033#440C2×D7311yescharacteristic
1034#440C2×D7311yescharacteristic, complemented
1035#440C2×D7311yescharacteristic, complemented
1036C4×Q16—731no—
1037C4×Q16—731no—
1038C4×SD16—731no—
1039C4×SD16—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435—731no—
1044C8×D4—731no—
1045C8×D4—731no—
1046#432—731no—
1047#432—731no—
1048#432C2×D7311yescharacteristic, complemented
1049#428—731no—
1050C2×#107—731no—
1051C2×#107—731no—
1052#419—731no—
1053#417—731no—
1054C2×#103—731no—
1055C2×#103—731no—
1056C2×#102—731no—
1057C2×#102—731no—
1058C4×M16—731no—
1059C2×#97—731no—
1060C2×#97—731no—
1061C2×#41—731no—
1062C2×#41—731no—
1063C2×#41—1461no—
1064C22×Q8—731no—
1065C22×Q8—731no—
1066C22×Q8—731no—
1067C22×D4—731no—
1068C22×D4—1461no—
1069C22×D4C22×D7311yescharacteristic
1070C23×C4—21no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16—731no—
1076C2×Q16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—731no—
1081C2×SD16—731no—
1082C2×SD16—731no—
1083C2×SD16—731no—
1084C2×SD16—731no—
1085C2×SD16—1464no—
1086C2×SD16—1464no—
1087C2×SD16C22×D7311yescharacteristic
1088C2×SD16C22×D7311yescharacteristic
1089C2×SD16C22×D7311yescharacteristic
1090C2×SD16C22×D7311yescharacteristic
1091C2×M16—731no—
1092C2×M16—731no—
1093C22×C8—731no—
1094C22×C8—731no—
1095C22×C8—731no—
1096C22×C8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8—731no—
1099C4⋊Q8—731no—
1100C4⋊Q8—731no—
1101C4⋊Q8—731no—
1102C4⋊Q8—1461no—
1103C4⋊Q8—1461no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8C22×D7311yescharacteristic
1109C4⋊Q8C22×D7311yescharacteristic
1110#127—731no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—21no—
1116#125—731no—
1117#125—731no—
1118#125—1461no—
1119#125—1461no—
1120#125—1461no—
1121#125—1461no—
1122#125—1461no—
1123#125—1461no—
1124#125—1461no—
1125#125—1461no—
1126#125—1461no—
1127#124—731no—
1128#124—731no—
1129#124—1461no—
1130#124—1461no—
1131#123—1461no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—21no—
1140C22⋊Q8—731no—
1141C22⋊Q8—731no—
1142C22⋊Q8—731no—
1143C22⋊Q8—731no—
1144C22⋊Q8—731no—
1145C22⋊Q8—731no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8—1461no—
1156C22⋊Q8—1461no—
1157C22⋊Q8—1461no—
1158C22⋊Q8—1461no—
1159C22⋊Q8—1461no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8C22×D7311yescharacteristic
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—731no—
1168#121—731no—
1169#121—731no—
1170#121—731no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121—1461no—
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—21no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—731no—
1185C4×Q8—731no—
1186C4×Q8—731no—
1187C4×Q8—731no—
1188C4×Q8—731no—
1189C4×Q8—731no—
1190C4×Q8—731no—
1191C4×Q8—731no—
1192C4×Q8—731no—
1193C4×Q8—731no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8—1461no—
1202C4×Q8—1461no—
1203C4×Q8—1461no—
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—1461no—
1219C4×D4—1461no—
1220C4×D4—1461no—
1221C4×D4—1461no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4C22×D7311yescharacteristic
1236C4×D4C22×D7311yescharacteristic
1237C4×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—21no—
1240#117—731no—
1241#117—731no—
1242#117—731no—
1243#117—731no—
1244#117—1461no—
1245#117—1461no—
1246#117—1461no—
1247#117—1461no—
1248#117—1461no—
1249C2×C4⋊C4—731no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—1461no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—731no—
1263C2×C42—731no—
1264C2×C42—1461no—
1265C2×C42—1461no—
1266C2×C42—1461no—
1267C2×C42—1461no—
1268C2×C42C22×D7311yescharacteristic
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107—731no—
1276#107—731no—
1277#107C22×D7311yescharacteristic
1278#107C22×D7311yescharacteristic
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106—731no—
1284#106—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8—731no—
1289C4⋊C8C22×D7311yescharacteristic
1290C4⋊C8C22×D7311yescharacteristic
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103—731no—
1300#103—731no—
1301#103—731no—
1302#103—731no—
1303#103—731no—
1304#103—731no—
1305#103—731no—
1306#103—731no—
1307#103C22×D7311yescharacteristic
1308#103C22×D7311yescharacteristic
1309#103C22×D7311yescharacteristic
1310#103C22×D7311yescharacteristic
1311#102—731no—
1312#102—731no—
1313#102—731no—
1314#102—731no—
1315#102—731no—
1316#102—731no—
1317#102—731no—
1318#102—731no—
1319#102C22×D7311yescharacteristic
1320#102C22×D7311yescharacteristic
1321#102C22×D7311yescharacteristic
1322#102C22×D7311yescharacteristic
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8—731no—
1326C22⋊C8—731no—
1327C22⋊C8C22×D7311yescharacteristic
1328C22⋊C8C22×D7311yescharacteristic
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97—731no—
1333#97—731no—
1334#97—731no—
1335#97C22×D7311yescharacteristic
1336#97C22×D7311yescharacteristic
1337C4×C8—731no—
1338C4×C8—731no—
1339C24—21no—
1340C24—1461no—
1341#41—2921no—
1342#41—5842no—
1343#41—1464no—
1344#41—1462no—
1345C2×Q8—21no—
1346C2×Q8—2921no—
1347C2×Q8—2921no—
1348C2×Q8—2921no—
1349C2×Q8—731no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—1462no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1461no—
1359C2×Q8—1462no—
1360C2×Q8—1462no—
1361C2×Q8—1461no—
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—41no—
1367C2×D4—2924no—
1368C2×D4—2921no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1461no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1462no—
1381C2×D4—1461no—
1382C2×D4C23×D7311yescharacteristic
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—82no—
1390C22×C4—5842no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—731no—
1396C22×C4—731no—
1397C22×C4—1461no—
1398C22×C4—1461no—
1399C22×C4—1461no—
1400C22×C4—1461no—
1401C22×C4—1461no—
1402C22×C4—1461no—
1403C22×C4—1461no—
1404C22×C4—1461no—
1405C22×C4—1461no—
1406C22×C4—1461no—
1407C22×C4—1461no—
1408C22×C4—1461no—
1409C22×C4D4×D7311yescharacteristic
1410C22×C4D4×D7311yescharacteristic
1411C22×C4C23×D7311yescharacteristic
1412Q16—2921no—
1413Q16—2921no—
1414Q16—1462no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—22no—
1418SD16—41no—
1419SD16—41no—
1420SD16—2921no—
1421SD16—2921no—
1422SD16—734no—
1423SD16—1462no—
1424SD16—1462no—
1425SD16—1462no—
1426SD16—1462no—
1427SD16—1462no—
1428M16—2921no—
1429M16—1462no—
1430C2×C8—2921no—
1431C2×C8—2921no—
1432C2×C8—731no—
1433C2×C8—731no—
1434C2×C8—731no—
1435C2×C8—731no—
1436C2×C8—1462no—
1437C2×C8—1462no—
1438C2×C8C23×D7311yescharacteristic
1439C2×C8C23×D7311yescharacteristic
1440C2×C8C23×D7311yescharacteristic
1441C2×C8C23×D7311yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—731no—
1457C4⋊C4—731no—
1458C4⋊C4—731no—
1459C4⋊C4—731no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4—1461no—
1467C4⋊C4—1461no—
1468C4⋊C4—1461no—
1469C4⋊C4—1461no—
1470C4⋊C4—1461no—
1471C4⋊C4—1461no—
1472C4⋊C4—1461no—
1473C4⋊C4—1461no—
1474C4⋊C4—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4C23×D7311yescharacteristic
1492C4⋊C4C23×D7311yescharacteristic
1493C4⋊C4C23×D7311yescharacteristic
1494C4⋊C4C23×D7311yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—731no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C42—21no—
1527C42—21no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42—1461no—
1545C42D4×D7311yescharacteristic
1546C42D4×D7311yescharacteristic
1547C42C23×D7311yescharacteristic
1548C42C23×D7311yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—2922no—
1555C23—2922no—
1556C23—5841no—
1557C23—731no—
1558C23—731no—
1559C23—1461no—
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—81no—
1566Q8—2922no—
1567Q8—2922no—
1568Q8—2922no—
1569Q8—5841no—
1570Q8—5841no—
1571Q8—5841no—
1572Q8—732no—
1573Q8—1462no—
1574Q8—1461no—
1575Q8—1461no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8—1461no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—2922no—
1584D4—2922no—
1585D4—2922no—
1586D4—2922no—
1587D4—2922no—
1588D4—5841no—
1589D4—5841no—
1590D4—5841no—
1591D4—734no—
1592D4—1462no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4#41×D7312yes—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—41no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—2922no—
1613C2×C4—2921no—
1614C2×C4—2921no—
1615C2×C4—2922no—
1616C2×C4—2922no—
1617C2×C4—2922no—
1618C2×C4—2922no—
1619C2×C4—2922no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—1462no—
1633C2×C4—1462no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4—1461no—
1640C2×C4—1461no—
1641C2×C4—1461no—
1642C2×C4—1461no—
1643C2×C4—1461no—
1644C2×C4—1461no—
1645C2×C4C2×D4×D7311yescharacteristic
1646C2×C4C2×D4×D7311yescharacteristic
1647C2×C4C2×D4×D7311yescharacteristic
1648C2×C4C2×D4×D7311yescharacteristic
1649C2×C4C2×D4×D7311yescharacteristic
1650C2×C4C24×D7311yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—732no—
1656C8—1461no—
1657C8—1461no—
1658C8—1461no—
1659C22—21no—
1660C22—21no—
1661C22—22no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—2921no—
1669C22—2921no—
1670C22—2921no—
1671C22—5844no—
1672C22—732no—
1673C22—1461no—
1674C22—1461no—
1675C22—1461no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—2921no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—732no—
1698C4—1461no—
1699C4—1462no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942311yescharacteristic
1706C2—22no—
1707C2—42no—
1708C2—81no—
1709C2—2921no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341411yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3110C2
socleC22×C73C23×D4
prime radical#22623535C2
hypercenter#3110D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
2. #22623509C2semidirect
3. #22622979C2semidirect
4. #22622836C2semidirect
5. #22622748C2semidirect
6. #22622707C2semidirect
7. #22622420C2semidirect
8. #22622413C2semidirect
9. #22622318C2semidirect
10. #22622109C2semidirect
11. #22622100C2semidirect
12. #22622016C2semidirect
13. #22622009C2semidirect
14. #22621805C2semidirect
15. #22621748C2semidirect
16. #22621625C2semidirect
17. #22621447C2semidirect
18. #22621445C2semidirect
19. #22620646C2semidirect
20. #22620636C2semidirect
21. #22620634C2semidirect
22. #22620104C2semidirect
23. #22620100C2semidirect
24. #22620089C2semidirect
25. #22620051C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618753C2semidirect
29. C2×#17988687C2semidirect
30. #440×D73C2semidirect
31. C73×#3110C2semidirect
36. #17989317C22semidirect
38. #17989312C22semidirect
39. #17989298C22semidirect
42. #17989295C22semidirect
52. #17989252C22semidirect
54. #17989250C22semidirect
61. #17989141C22semidirect
62. #17989141C22semidirect
73. C2×C4×Dic146C22semidirect
74. C4×Q8×D73C22semidirect
75. C4×Q8×D73C22semidirect
78. #17988995C22semidirect
79. #17988993C22semidirect
80. #17988991C22semidirect
81. #17988979C22semidirect
82. #17988978C22semidirect
84. #17988955C22semidirect
85. #17988954C22semidirect
86. #17988949C22semidirect
87. #17988945C22semidirect
88. #17988936C22semidirect
90. #17988930C22semidirect
91. #17988926C22semidirect
92. #17988924C22semidirect
93. #17988924C22semidirect
94. #17988923C22semidirect
95. #17988921C22semidirect
98. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988895C22semidirect
101. #17988895C22semidirect
102. #17988893C22semidirect
103. #17988892C22semidirect
104. #17988881C22semidirect
105. #17988881C22semidirect
106. #17988880C22semidirect
108. #17988866C22semidirect
110. #17988836C22semidirect
111. #17988834C22semidirect
112. #17988832C22semidirect
113. #17988830C22semidirect
114. #17988829C22semidirect
115. #17988827C22semidirect
116. #17988826C22semidirect
117. #17988826C22semidirect
122. #17988810C22semidirect
123. #17988810C22semidirect
124. #17988808C22semidirect
125. #17988807C22semidirect
126. #17988796C22semidirect
127. #17988791C22semidirect
134. #17988745C22semidirect
135. #17988744C22semidirect
139. #17988727C22semidirect
141. #17988724C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988695C22semidirect
145. #17988695C22semidirect
146. #17988692C22semidirect
147. #17988692C22semidirect
148. #17988690C22semidirect
149. #17988689C22semidirect
150. #17988689C22semidirect
156. #17988687C22semidirect
157. #17988687C22semidirect
158. #17988687C22semidirect
159. #17988687C22semidirect
160. #17988686C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
164. #17988681C22semidirect
165. #17988679C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988628C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
179. #17988594C22semidirect
181. C2×#14556514C22semidirect
182. #103×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
188. #533×C73C22semidirect
190. #484×C73C22semidirect
191. #484×C73C22semidirect
193. #474×C73C22semidirect
195. #461×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
545. #11924016#41semidirect
742. C22⋊D73#137semidirect
884. #3110D73semidirect
889. C73#61453semidirect
922. #533C2×D73semidirect
956. #484C2×D73semidirect
957. #484C2×D73semidirect
973. #474C2×D73semidirect
995. #461C2×D73semidirect
1034. #440C2×D73semidirect
1035. #440C2×D73semidirect
1048. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226235352
#226235092
#226229792
#226228362
#226227482
#226227072
#226224202
#226224132
#226223182
#226221092
#226221002
#226220162
#226220092
#226218052
#226217482
#226216252
#226214472
#226214452
#226206462
#226206362
#226206342
#226201042
#226201002
#226200892
#226200512
#226200282
#226189402
#226187532
C2×#179886872
#440×D732
C73×#31102
#6145373