Finite Group Databasebeta

← #33967949

Subgroups — #33967949

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#22623537C211yesmaximal, characteristic
2Q8×#11924028C211yesmaximal, characteristic, complemented
3#22622987C211yesmaximal, characteristic, complemented
4#22622844C211yesmaximal, characteristic, complemented
5#22622740C211yesmaximal, characteristic, complemented
6#22622715C211yesmaximal, characteristic, complemented
7#22622423C211yesmaximal, characteristic, complemented
8#22622414C211yesmaximal, characteristic, complemented
9#22622318C211yesmaximal, characteristic, complemented
10#22622106C211yesmaximal, characteristic, complemented
11#22622099C211yesmaximal, characteristic, complemented
12#22622019C211yesmaximal, characteristic, complemented
13#22622010C211yesmaximal, characteristic, complemented
14#22621800C211yesmaximal, characteristic, complemented
15#22621753C211yesmaximal, characteristic, complemented
16#22621620C211yesmaximal, characteristic, complemented
17#22621436C211yesmaximal, characteristic, complemented
18#22621434C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620641C211yesmaximal, characteristic, complemented
21#22620638C211yesmaximal, characteristic, complemented
22#22620106C211yesmaximal, characteristic, complemented
23#22620091C211yesmaximal, characteristic, complemented
24#22620051C211yesmaximal, characteristic, complemented
25#22620031C211yesmaximal, characteristic, complemented
26#22620028C211yesmaximal, characteristic, complemented
27#22618940C211yesmaximal, characteristic, complemented
28#22618747C211yesmaximal, characteristic, complemented
29C2×#17988685C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C73×#3117C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic
33C22×#11924015C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989319C2211yescharacteristic
36Q8×Dic146C2211yescharacteristic, complemented
37#17989315—21no—
38#17989315C2211yescharacteristic, complemented
39#17989297—21no—
40#17989297C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic
42#17989293C2211yescharacteristic
43#17989292—21no—
44#17989292—21no—
45#17989292C2211yescharacteristic
46#17989292C2211yescharacteristic, complemented
47#17989290C2211yescharacteristic
48#17989289C2211yescharacteristic
49#17989288—21no—
50#17989262—21no—
51#17989260—21no—
52Q8×D292C2211yescharacteristic, complemented
53Q8×C22⋊D73C2211yescharacteristic
54Q8×C22⋊D73C2211yescharacteristic, complemented
55#17989230C2211yescharacteristic
56#17989229—21no—
57#17989228C2211yescharacteristic
58#17989221C2211yescharacteristic
59#17989144—21no—
60#17989144C2211yescharacteristic, complemented
61#17989141—21no—
62#17989141—21no—
63#17989141C2211yescharacteristic, complemented
64#17989141C2211yescharacteristic, complemented
65#17989134C2211yescharacteristic
66#17989124C2211yescharacteristic
67#17989115—21no—
68#17989099—21no—
69#17989096—21no—
70C4×#11924029C2211yescharacteristic
71C4×#11924028—21no—
72C4×#11924028C2211yescharacteristic
73C4×Q8×D73C2211yescharacteristic, complemented
74C4×Q8×D73C2211yescharacteristic, complemented
75C2×C4×D292C2211yescharacteristic
76C4×D4×D73—21no—
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988980C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic
84#17988957C2211yescharacteristic, complemented
85#17988954C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988936C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic
90#17988931C2211yescharacteristic, complemented
91#17988927C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988923C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic, complemented
95#17988921C2211yescharacteristic, complemented
96#17988921C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic
98#17988902C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988880C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic
106#17988868C2211yescharacteristic
107#17988868C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988865C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988834C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988827C2211yescharacteristic, complemented
115#17988826C2211yescharacteristic, complemented
116#17988826C2211yescharacteristic, complemented
117#17988825C2211yescharacteristic, complemented
118#17988819C2211yescharacteristic
119#17988817C2211yescharacteristic
120#17988814C2211yescharacteristic
121#17988814C2211yescharacteristic
122#17988812C2211yescharacteristic, complemented
123#17988811C2211yescharacteristic, complemented
124#17988795C2211yescharacteristic, complemented
125#17988793C2211yescharacteristic
126#17988793C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic
128#17988791C2211yescharacteristic
129#17988790C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic
131#17988785C2211yescharacteristic
132#17988752C2211yescharacteristic
133#17988748C2211yescharacteristic
134#17988741C2211yescharacteristic, complemented
135#17988740C2211yescharacteristic
136#17988740C2211yescharacteristic
137#17988739C2211yescharacteristic
138#17988736C2211yescharacteristic
139#17988727C2211yescharacteristic
140#17988727C2211yescharacteristic, complemented
141#17988724C2211yescharacteristic, complemented
142#17988716C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988692C2211yescharacteristic, complemented
146#17988690C2211yescharacteristic
147#17988689C2211yescharacteristic
148#17988689C2211yescharacteristic
149#17988689C2211yescharacteristic, complemented
150#17988689C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988687C2211yescharacteristic, complemented
153#17988687C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic
155#17988685C2211yescharacteristic
156#17988685C2211yescharacteristic
157#17988685C2211yescharacteristic
158#17988685C2211yescharacteristic
159#17988685C2211yescharacteristic, complemented
160#17988685C2211yescharacteristic, complemented
161#17988685C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164Q16×Dic73C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic
167#17988672C2211yescharacteristic
168#17988657C2211yescharacteristic, complemented
169#17988657C2211yescharacteristic, complemented
170#17988655C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988642C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988626C2211yescharacteristic, complemented
177C2×#14556524C2211yescharacteristic, complemented
178#107×D73C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic
181C2×#14556515C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556511C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988539C2211yescharacteristic, complemented
186C2×#14556502C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188#529×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190#484×C73C2211yescharacteristic, complemented
191#481×C73C2211yescharacteristic
192#479×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#451×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#441×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#440×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028D411yescharacteristic
206C2×Q8×D73C2311yescharacteristic
207C2×Q8×D73C2311yescharacteristic
208C22×D292C2311yescharacteristic
209C2×D4×D73—21no—
210C2×D4×D73C2311yescharacteristic
211C22×C4×D73—21no—
212C22×C4×D73—21no—
213#14556623—24no—
214C2×#11924018C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924017C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015—24no—
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227SD16×D73—24no—
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C22×#10596831C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C2×C8×D73C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591—21no—
235#14556591—21no—
236#14556591C2311yescharacteristic
237#14556591C2311yescharacteristic
238#14556590—21no—
239#14556590—21no—
240#14556590C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556590C2311yescharacteristic
243#14556589—21no—
244#14556589—21no—
245#14556589C2311yescharacteristic
246#14556589C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556586—21no—
249#14556586—21no—
250#14556584—21no—
251#14556583—21no—
252#14556583—21no—
253#14556583—21no—
254#14556582C2311yescharacteristic
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581—21no—
261#14556581—21no—
262#14556580C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556575—21no—
269#14556575—21no—
270#14556573—21no—
271#14556573—21no—
272#14556571—21no—
273#14556571—21no—
274#14556571—21no—
275#14556571—21no—
276#14556571C2311yescharacteristic
277#14556571C2311yescharacteristic
278#14556570—21no—
279#14556570—21no—
280#14556570—21no—
281#14556570—21no—
282#14556570—21no—
283#14556570C2311yescharacteristic
284#14556570C2311yescharacteristic
285#14556569—21no—
286#14556569—21no—
287#14556569—21no—
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556568—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556564—21no—
304#14556564—21no—
305#14556564—21no—
306#14556563—21no—
307#14556562C2311yescharacteristic
308#14556561—21no—
309#14556561—21no—
310#14556561—21no—
311#14556559—21no—
312Q8×Dic73C2311yescharacteristic
313Q8×Dic73C2311yescharacteristic
314Q8×Dic73C2311yescharacteristic
315C4×Dic146—21no—
316C4×Dic146—21no—
317C4×Dic146—21no—
318C4×Dic146—21no—
319C4×Dic146—21no—
320C4×Dic146—21no—
321C4×Dic146—21no—
322C4×Dic146D411yescharacteristic
323C4×Dic146C2311yescharacteristic
324C4×Dic146C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292—21no—
333C4×D292—21no—
334C4×D292—21no—
335C4×D292—21no—
336C4×D292D411yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342D4×Dic73—21no—
343D4×Dic73C2311yescharacteristic
344#14556553—21no—
345#14556553—21no—
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73D411yescharacteristic
355C4×C22⋊D73D411yescharacteristic
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556550—21no—
362#14556550D411yescharacteristic
363#14556549—21no—
364#14556549C2311yescharacteristic
365#14556548—21no—
366#14556548—21no—
367#14556548—21no—
368#14556548D411yescharacteristic
369#14556548D411yescharacteristic
370C2×C4⋊Dic73C2311yescharacteristic
371C4⋊C4×D73—21no—
372C4⋊C4×D73—21no—
373C4⋊C4×D73—21no—
374C4⋊C4×D73C2311yescharacteristic
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C2×#11924005—21no—
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385C42×D73C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556525C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
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×Q8×C73C2311yescharacteristic
439C2×Q16×C73C2311yescharacteristic
440C2×Q16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443#126×C73—21no—
444#125×C73C2311yescharacteristic
445#124×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73C2311yescharacteristic
448#121×C73C2311yescharacteristic
449C4×Q8×C73—21no—
450C4×Q8×C73—21no—
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×Q8×C73C2311yescharacteristic
456C4×D4×C73—21no—
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459C2×C4⋊C4×C73—21no—
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C42×C73—21no—
462C2×C42×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477C22⋊C8×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—24no—
486#11924028—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495C2×Dic146C2411yescharacteristic
496Q8×D73—22no—
497Q8×D73—22no—
498Q8×D73—41no—
499Q8×D73—41no—
500C2×D292—22no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—41no—
506C2×D292C2×D411yescharacteristic
507C2×D292C2411yescharacteristic
508C2×D292C2411yescharacteristic
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73C2×D411yescharacteristic
514C2×C22⋊D73C2×D411yescharacteristic
515D4×D73—22no—
516D4×D73—41no—
517D4×D73—44no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—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—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—82no—
533C2×C4×D73—82no—
534C2×C4×D73C2×D411yescharacteristic
535C2×C4×D73C2×D411yescharacteristic
536C2×C4×D73C2×D411yescharacteristic
537C2×C4×D73C2×D411yescharacteristic
538C2×C4×D73C2411yescharacteristic
539C2×C4×D73C2411yescharacteristic
540#11924018—22no—
541#11924018—41no—
542#11924017—22no—
543#11924017—22no—
544#11924017—41no—
545#11924017—41no—
546#11924016—22no—
547#11924016—41no—
548#11924015—22no—
549#11924015—22no—
550#11924015—22no—
551#11924015#4114yescomplemented
552#11924011—22no—
553#11924011—41no—
554C2×#10596831—22no—
555C2×#10596831—41no—
556C2×#10596831C2411yescharacteristic
557C2×#10596831C2411yescharacteristic
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C8×D73—22no—
561C8×D73—41no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73—21no—
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2×D411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007C2×D411yescharacteristic
599#11924007C2×D411yescharacteristic
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
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#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2×D411yescharacteristic
638C4×Dic73C2×D411yescharacteristic
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C2×Q8×C73—21no—
643C2×Q8×C73—22no—
644C2×Q8×C73—41no—
645C2×Q8×C73C2411yescharacteristic
646C2×Q8×C73C2411yescharacteristic
647C2×Q8×C73C2411yescharacteristic
648C2×D4×C73—21no—
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73C2×D411yescharacteristic
654C22×C4×C73C2×D411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656Q16×C73—22no—
657Q16×C73—41no—
658SD16×C73—22no—
659SD16×C73—41no—
660C2×C8×C73C2411yescharacteristic
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C4⋊C4×C73—21no—
665C4⋊C4×C73—21no—
666C4⋊C4×C73—21no—
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×C73C2411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C22⋊C4×C73—21no—
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C42×C73—21no—
683C42×C73—21no—
684C42×C73—21no—
685C42×C73—21no—
686C42×C73—21no—
687C42×C73C2×D411yescharacteristic
688C42×C73C2×D411yescharacteristic
689C42×C73C2411yescharacteristic
690C42×C73C2411yescharacteristic
691C23×C73—21no—
692C23×C73C22×D411yescharacteristic
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—42no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702C22×D73C22×D411yescharacteristic
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—21no—
708Q8×C73—42no—
709Q8×C73C2×#4112yes—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—42no—
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—21no—
723C2×C4×C73—41no—
724C2×C4×C73—42no—
725C2×C4×C73—42no—
726C2×C4×C73—81no—
727C2×C4×C73C22×D411yescharacteristic
728C2×C4×C73C22×D411yescharacteristic
729C2×C4×C73C22×D411yescharacteristic
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C2511yescharacteristic
733C22⋊D73—22no—
734C22⋊D73—42no—
735C22⋊D73—42no—
736C22⋊D73—81no—
737C22⋊D73—81no—
738C22⋊D73#13714yescomplemented
739C2×Dic73—21no—
740C2×Dic73—21no—
741C2×Dic73—21no—
742C2×Dic73—21no—
743C2×Dic73—21no—
744C2×Dic73—21no—
745C2×Dic73—81no—
746C2×Dic73—81no—
747C2×Dic73C22×D411yescharacteristic
748C2×Dic73C22×D411yescharacteristic
749C2×Dic73C22×D411yescharacteristic
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753D292—22no—
754D292—21no—
755D292—21no—
756D292—21no—
757D292—42no—
758D292—42no—
759D292—42no—
760D292—81no—
761D292C2×#4112yes—
762C4×D73—22no—
763C4×D73—21no—
764C4×D73—21no—
765C4×D73—21no—
766C4×D73—21no—
767C4×D73—22no—
768C4×D73—41no—
769C4×D73—41no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—42no—
775C4×D73—42no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781C4×D73—81no—
782Dic146—22no—
783Dic146—21no—
784Dic146—21no—
785Dic146—21no—
786Dic146—21no—
787Dic146—42no—
788Dic146—42no—
789Dic146—81no—
790Dic146—81no—
791Dic146—81no—
792Dic146—81no—
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—41no—
804C22×C73—41no—
805C22×C73—41no—
806C22×C73C2×#13712yes—
807C22×C73C23×D411yescharacteristic
808C2×D73—21no—
809C2×D73—21no—
810C2×D73—21no—
811C2×D73—21no—
812C2×D73—22no—
813C2×D73—21no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—41no—
819C2×D73—84no—
820C2×D73—84no—
821C2×D73C2×#13712yes—
822C4×C73—21no—
823C4×C73—21no—
824C4×C73—22no—
825C4×C73—21no—
826C4×C73—21no—
827C4×C73—21no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73—41no—
832C4×C73—41no—
833C4×C73—41no—
834C4×C73C22×#4111yescharacteristic
835C4×C73#58511yescharacteristic
836Dic73—21no—
837Dic73—21no—
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—81no—
851C2×C73D4×#4111yescharacteristic
852C2×C73C22×#13711yescharacteristic
853C2×C73#358511yescharacteristic
854D73—22no—
855D73—41no—
856D73—42no—
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#3117D7311yescharacteristic, complemented
881#3116—731no—
882#3112—731no—
883#3110—731no—
884#3110—731no—
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—731no—
920#533—1461no—
921#533—1461no—
922#533—1461no—
923#532—731no—
924#529—731no—
925#529—1461no—
926#529C2×D7311yescharacteristic
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×Q8C2×D7311yescharacteristic, complemented
935C2×C4×D4—731no—
936C2×C4×D4—731no—
937C2×C4×D4—1461no—
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#484—731no—
957#484C2×D7311yescharacteristic, complemented
958#481—731no—
959#481C2×D7311yescharacteristic
960#480—731no—
961#480—731no—
962#479—731no—
963#479—731no—
964#479C2×D7311yescharacteristic, complemented
965#479C2×D7311yescharacteristic, complemented
966#477—731no—
967#477—731no—
968#477—731no—
969#476—731no—
970#474—731no—
971#474—731no—
972#474—731no—
973#474—731no—
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#464C2×D7311yescharacteristic, complemented
989#464C2×D7311yescharacteristic, complemented
990#462—731no—
991#461—731no—
992#461—731no—
993#461—731no—
994#461—731no—
995#461—731no—
996#460—731no—
997#460—731no—
998#452—731no—
999#452—731no—
1000#451—731no—
1001#451C2×D7311yescharacteristic, complemented
1002#450—731no—
1003#450—731no—
1004#450—731no—
1005#450—731no—
1006#448—731no—
1007#448—731no—
1008#448—731no—
1009#448C2×D7311yescharacteristic
1010#446—731no—
1011#446—731no—
1012#441—731no—
1013#441—731no—
1014#441C2×D7311yescharacteristic, complemented
1015#441C2×D7311yescharacteristic, complemented
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#440—731no—
1033#440—731no—
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×Q8C22×D7311yescharacteristic
1067C22×D4—731no—
1068C22×D4—731no—
1069C22×D4—1461no—
1070C23×C4—1461no—
1071C23×C4—1461no—
1072#137—1464no—
1073C2×Q16—731no—
1074C2×Q16—731no—
1075C2×Q16C22×D7311yescharacteristic
1076C2×Q16C22×D7311yescharacteristic
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—731no—
1086C2×SD16—731no—
1087C2×SD16—1464no—
1088C2×SD16—1464no—
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—731no—
1103C4⋊Q8—731no—
1104C4⋊Q8—1461no—
1105C4⋊Q8—1461no—
1106C4⋊Q8—1461no—
1107C4⋊Q8—1461no—
1108C4⋊Q8—1461no—
1109C4⋊Q8—1461no—
1110#127—731no—
1111#126—21no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#125—731no—
1116#125—1461no—
1117#125—1461no—
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#125C22×D7311yescharacteristic
1127#124—731no—
1128#124—1461no—
1129#124—1461no—
1130#124C22×D7311yescharacteristic
1131#123—21no—
1132#123—1461no—
1133#123—1461no—
1134#123—1461no—
1135#123—1461no—
1136#123—1461no—
1137#123—1461no—
1138#123—1461no—
1139C22⋊Q8—731no—
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⋊Q8—1461no—
1166C22⋊Q8C22×D7311yescharacteristic
1167#121—731no—
1168#121—731no—
1169#121—731no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#120—1461no—
1178#120—1461no—
1179#120—1461no—
1180#120—1461no—
1181C4×Q8—21no—
1182C4×Q8—21no—
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—1461no—
1193C4×Q8—1461no—
1194C4×Q8—1461no—
1195C4×Q8—1461no—
1196C4×Q8—1461no—
1197C4×Q8—1461no—
1198C4×Q8—1461no—
1199C4×Q8—1461no—
1200C4×Q8—1461no—
1201C4×Q8C22×D7311yescharacteristic
1202C4×Q8C22×D7311yescharacteristic
1203C4×Q8C22×D7311yescharacteristic
1204C4×Q8C22×D7311yescharacteristic
1205C4×Q8C22×D7311yescharacteristic
1206C4×D4—21no—
1207C4×D4—731no—
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—731no—
1219C4×D4—731no—
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×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
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—21no—
1250C2×C4⋊C4—731no—
1251C2×C4⋊C4—731no—
1252C2×C4⋊C4—731no—
1253C2×C4⋊C4—731no—
1254C2×C4⋊C4—1461no—
1255C2×C4⋊C4—1461no—
1256C2×C4⋊C4—1461no—
1257C2×C4⋊C4C22×D7311yescharacteristic
1258C2×C22⋊C4—1461no—
1259C2×C22⋊C4—1461no—
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C42—21no—
1263C2×C42—731no—
1264C2×C42—731no—
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#107—731no—
1278#107—731no—
1279#107C22×D7311yescharacteristic
1280#107C22×D7311yescharacteristic
1281#106—731no—
1282#106—731no—
1283#106C22×D7311yescharacteristic
1284#106C22×D7311yescharacteristic
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#103C22×D7311yescharacteristic
1306#103C22×D7311yescharacteristic
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#102—731no—
1320#102—731no—
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—1461no—
1340C24—1461no—
1341#41—2921no—
1342#41—5842no—
1343#41—1464no—
1344#41—1462no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—41no—
1348C2×Q8—2921no—
1349C2×Q8—2921no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—731no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8—1461no—
1357C2×Q8—1461no—
1358C2×Q8—1462no—
1359C2×Q8—1462no—
1360C2×Q8—1461no—
1361C2×Q8C23×D7311yescharacteristic
1362C2×Q8C23×D7311yescharacteristic
1363C2×Q8C23×D7311yescharacteristic
1364C2×D4—21no—
1365C2×D4—2921no—
1366C2×D4—2924no—
1367C2×D4—2921no—
1368C2×D4—731no—
1369C2×D4—731no—
1370C2×D4—731no—
1371C2×D4—731no—
1372C2×D4—731no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1462no—
1381C2×D4—1461no—
1382C2×D4—1461no—
1383C2×D4C23×D7311yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—5842no—
1388C22×C4—5842no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—731no—
1392C22×C4—731no—
1393C22×C4—731no—
1394C22×C4—731no—
1395C22×C4—1461no—
1396C22×C4—1461no—
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—22no—
1413Q16—41no—
1414Q16—2921no—
1415Q16—1462no—
1416SD16—22no—
1417SD16—41no—
1418SD16—2921no—
1419SD16—2921no—
1420SD16—2921no—
1421SD16—734no—
1422SD16—1462no—
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—21no—
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—731no—
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—731no—
1501C22⋊C4—731no—
1502C22⋊C4—731no—
1503C22⋊C4—731no—
1504C22⋊C4—731no—
1505C22⋊C4—731no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊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—21no—
1529C42—21no—
1530C42—21no—
1531C42—731no—
1532C42—731no—
1533C42—731no—
1534C42—731no—
1535C42—731no—
1536C42—731no—
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—2922no—
1551C23—2922no—
1552C23—2922no—
1553C23—2922no—
1554C23—5841no—
1555C23—5841no—
1556C23—731no—
1557C23—731no—
1558C23—1461no—
1559C23—1461no—
1560C23C2×D4×D7311yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—21no—
1566Q8—42no—
1567Q8—2922no—
1568Q8—2922no—
1569Q8—5841no—
1570Q8—5841no—
1571Q8—5841no—
1572Q8—5841no—
1573Q8—1462no—
1574Q8—1461no—
1575Q8—1461no—
1576Q8—1461no—
1577Q8—1461no—
1578Q8#41×D7312yes—
1579D4—21no—
1580D4—21no—
1581D4—42no—
1582D4—2922no—
1583D4—2922no—
1584D4—2922no—
1585D4—2922no—
1586D4—2922no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—734no—
1591D4—732no—
1592D4—1462no—
1593D4—1462no—
1594D4—1461no—
1595D4—1461no—
1596D4—1461no—
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—21no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—81no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2922no—
1615C2×C4—2921no—
1616C2×C4—2921no—
1617C2×C4—2922no—
1618C2×C4—2922no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—5841no—
1626C2×C4—5841no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—731no—
1633C2×C4—1462no—
1634C2×C4—1462no—
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—41no—
1662C22—41no—
1663C22—41no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—5844no—
1670C22—5844no—
1671C22—732no—
1672C22—1461no—
1673C22—1461no—
1674C22—1462no—
1675C22—1461no—
1676C22—1461no—
1677C22—1461no—
1678C22#137×D7312yes—
1679C22C22×D4×D7311yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—22no—
1684C4—21no—
1685C4—21no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—2921no—
1693C4—2921no—
1694C4—2921no—
1695C4—2921no—
1696C4—2921no—
1697C4—2921no—
1698C4—732no—
1699C4—1461no—
1700C4—1461no—
1701C4—1461no—
1702C4—1461no—
1703C4—1461no—
1704C4C2×#41×D7311yescharacteristic
1705C4#1798942311yescharacteristic
1706C2—22no—
1707C2—81no—
1708C2—2922no—
1709C2—2921no—
1710C2—5841no—
1711C2—1462no—
1712C2#2262341411yescharacteristic
1713C2C2×#137×D7311yescharacteristic
1714C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3117C2
socleC22×C73C23×D4
prime radical#22623537C2
hypercenter#3117D73
hypocenterC73#61453
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3117

Complements

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

NH ≅ G/Ntype
2. Q8×#11924028C2semidirect
3. #22622987C2semidirect
4. #22622844C2semidirect
5. #22622740C2semidirect
6. #22622715C2semidirect
7. #22622423C2semidirect
8. #22622414C2semidirect
9. #22622318C2semidirect
10. #22622106C2semidirect
11. #22622099C2semidirect
12. #22622019C2semidirect
13. #22622010C2semidirect
14. #22621800C2semidirect
15. #22621753C2semidirect
16. #22621620C2semidirect
17. #22621436C2semidirect
18. #22621434C2semidirect
19. #22620646C2semidirect
20. #22620641C2semidirect
21. #22620638C2semidirect
22. #22620106C2semidirect
23. #22620091C2semidirect
24. #22620051C2semidirect
25. #22620031C2semidirect
26. #22620028C2semidirect
27. #22618940C2semidirect
28. #22618747C2semidirect
29. C2×#17988685C2semidirect
30. #440×D73C2semidirect
31. C73×#3117C2semidirect
36. Q8×Dic146C22semidirect
38. #17989315C22semidirect
40. #17989297C22semidirect
46. #17989292C22semidirect
52. Q8×D292C22semidirect
54. Q8×C22⋊D73C22semidirect
60. #17989144C22semidirect
63. #17989141C22semidirect
64. #17989141C22semidirect
73. C4×Q8×D73C22semidirect
74. C4×Q8×D73C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988982C22semidirect
82. #17988980C22semidirect
84. #17988957C22semidirect
85. #17988954C22semidirect
86. #17988948C22semidirect
87. #17988946C22semidirect
88. #17988936C22semidirect
90. #17988931C22semidirect
91. #17988927C22semidirect
92. #17988924C22semidirect
93. #17988923C22semidirect
94. #17988923C22semidirect
95. #17988921C22semidirect
96. #17988921C22semidirect
98. #17988902C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988896C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
104. #17988880C22semidirect
107. #17988868C22semidirect
109. #17988865C22semidirect
110. #17988836C22semidirect
111. #17988834C22semidirect
112. #17988832C22semidirect
113. #17988830C22semidirect
114. #17988827C22semidirect
115. #17988826C22semidirect
116. #17988826C22semidirect
117. #17988825C22semidirect
122. #17988812C22semidirect
123. #17988811C22semidirect
124. #17988795C22semidirect
126. #17988793C22semidirect
129. #17988790C22semidirect
134. #17988741C22semidirect
140. #17988727C22semidirect
141. #17988724C22semidirect
142. #17988716C22semidirect
143. #17988716C22semidirect
144. #17988692C22semidirect
145. #17988692C22semidirect
149. #17988689C22semidirect
150. #17988689C22semidirect
151. #17988688C22semidirect
152. #17988687C22semidirect
153. #17988687C22semidirect
159. #17988685C22semidirect
160. #17988685C22semidirect
161. #17988685C22semidirect
162. #17988685C22semidirect
163. #17988684C22semidirect
164. Q16×Dic73C22semidirect
165. #17988679C22semidirect
168. #17988657C22semidirect
169. #17988657C22semidirect
170. #17988655C22semidirect
171. #17988655C22semidirect
174. #17988642C22semidirect
175. #17988642C22semidirect
176. #17988626C22semidirect
177. C2×#14556524C22semidirect
178. #107×D73C22semidirect
179. #17988594C22semidirect
181. C2×#14556515C22semidirect
182. #103×D73C22semidirect
185. #17988539C22semidirect
186. C2×#14556502C22semidirect
187. #97×D73C22semidirect
189. C2×C4×Q8×C73C22semidirect
190. #484×C73C22semidirect
192. #479×C73C22semidirect
193. #479×C73C22semidirect
194. #464×C73C22semidirect
195. #464×C73C22semidirect
196. #451×C73C22semidirect
198. #441×C73C22semidirect
199. #441×C73C22semidirect
200. #440×C73C22semidirect
201. #440×C73C22semidirect
202. #432×C73C22semidirect
551. #11924015#41semidirect
738. C22⋊D73#137semidirect
880. #3117D73semidirect
889. C73#61453semidirect
934. C2×C4×Q8C2×D73semidirect
957. #484C2×D73semidirect
964. #479C2×D73semidirect
965. #479C2×D73semidirect
988. #464C2×D73semidirect
989. #464C2×D73semidirect
1001. #451C2×D73semidirect
1014. #441C2×D73semidirect
1015. #441C2×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
#226235372
Q8×#119240282
#226229872
#226228442
#226227402
#226227152
#226224232
#226224142
#226223182
#226221062
#226220992
#226220192
#226220102
#226218002
#226217532
#226216202
#226214362
#226214342
#226206462
#226206412
#226206382
#226201062
#226200912
#226200512
#226200312
#226200282
#226189402
#226187472
C2×#179886852
#440×D732
C73×#31172
#6145373