Finite Group Databasebeta

← #33969078

Subgroups — #33969078

Order 18688.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623943C211yesmaximal, characteristic, complemented
2#22623878C211yesmaximal, characteristic, complemented
3#22623004C211yesmaximal, characteristic, complemented
4#22622844C211yesmaximal, characteristic, complemented
5#22622753C211yesmaximal, characteristic, complemented
6#22622746C211yesmaximal, characteristic, complemented
7#22622508C211yesmaximal, characteristic, complemented
8#22622465C211yesmaximal, characteristic, complemented
9#22622425C211yesmaximal, characteristic, complemented
10#22622195C211yesmaximal, characteristic, complemented
11#22622157C211yesmaximal, characteristic, complemented
12#22622089C211yesmaximal, characteristic, complemented
13#22621973C211yesmaximal, characteristic, complemented
14#22621918C211yesmaximal, characteristic, complemented
15#22621565C211yesmaximal, characteristic, complemented
16#22621442C211yesmaximal, characteristic, complemented
17#22621419C211yesmaximal, characteristic, complemented
18#22620609C211yesmaximal, characteristic, complemented
19#22620565C211yesmaximal, characteristic, complemented
20#22620536C211yesmaximal, characteristic, complemented
21#22620216C211yesmaximal, characteristic, complemented
22#22620196C211yesmaximal, characteristic, complemented
23#22620153C211yesmaximal, characteristic, complemented
24#22620118C211yesmaximal, characteristic, complemented
25#22620047C211yesmaximal, characteristic, complemented
26#22620029C211yesmaximal, characteristic, complemented
27#22618913C211yesmaximal, characteristic, complemented
28#22618786C211yesmaximal, characteristic, complemented
29#22618768C211yesmaximal, characteristic, complemented
30#22618736C211yesmaximal, characteristic, complemented
31C73×#3320C211yesmaximal, characteristic, complemented
32C2×#14556622C2211yescharacteristic
33C2×#14556618C2211yescharacteristic
34C22×#11924015C2211yescharacteristic
35#17989320C2211yescharacteristic
36Q8×Dic146C2211yescharacteristic, complemented
37#17989311—21no—
38#17989311C2211yescharacteristic, complemented
39#17989308—21no—
40#17989308—21no—
41#17989308C2211yescharacteristic
42#17989308C2211yescharacteristic, complemented
43#17989302—21no—
44#17989302C2211yescharacteristic, complemented
45#17989293C2211yescharacteristic
46#17989287—21no—
47#17989276C2211yescharacteristic
48#17989265—21no—
49#17989262—21no—
50#17989248C2211yescharacteristic
51#17989248C2211yescharacteristic, complemented
52#17989238C2211yescharacteristic
53#17989234—21no—
54#17989234C2211yescharacteristic
55#17989233C2211yescharacteristic
56#17989221C2211yescharacteristic
57#17989210—21no—
58#17989210—21no—
59#17989210C2211yescharacteristic, complemented
60#17989210C2211yescharacteristic, complemented
61#17989204C2211yescharacteristic
62#17989190C2211yescharacteristic
63#17989178—21no—
64#17989169—21no—
65#17989142—21no—
66#17989142C2211yescharacteristic, complemented
67#17989122C2211yescharacteristic
68#17989119—21no—
69#17989119C2211yescharacteristic
70#17989096—21no—
71#123×D73—21no—
72#17989068C2211yescharacteristic
73#17989065C2211yescharacteristic, complemented
74#17989065C2211yescharacteristic, complemented
75#17989061C2211yescharacteristic
76C4×#11924029C2211yescharacteristic, complemented
77C4×D4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988991C2211yescharacteristic, complemented
81#17988979C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic
83#17988968C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic
89#17988931C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic
94#17988912C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic
97#17988908C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988892C2211yescharacteristic, complemented
101#17988884C2211yescharacteristic, complemented
102#17988881C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic
105#17988870C2211yescharacteristic, complemented
106#17988868C2211yescharacteristic
107#17988867C2211yescharacteristic, complemented
108#17988866C2211yescharacteristic
109#17988866C2211yescharacteristic, complemented
110#17988844C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic
114#17988836C2211yescharacteristic
115#17988835C2211yescharacteristic, complemented
116#17988833C2211yescharacteristic, complemented
117#17988826C2211yescharacteristic, complemented
118#17988823C2211yescharacteristic, complemented
119#17988821C2211yescharacteristic
120#17988812C2211yescharacteristic, complemented
121#17988809C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988805C2211yescharacteristic
125#17988805C2211yescharacteristic
126#17988805C2211yescharacteristic, complemented
127#17988803C2211yescharacteristic, complemented
128#17988789C2211yescharacteristic
129#17988785C2211yescharacteristic
130#17988785C2211yescharacteristic
131#17988752C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic
133#17988743C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic
135#17988736C2211yescharacteristic
136#17988736C2211yescharacteristic
137#17988735C2211yescharacteristic
138#17988734C2211yescharacteristic
139#17988726C2211yescharacteristic, complemented
140#17988723C2211yescharacteristic
141#17988716C2211yescharacteristic, complemented
142#17988715C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic
144#17988698C2211yescharacteristic, complemented
145#17988697C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988691C2211yescharacteristic, complemented
148#17988690C2211yescharacteristic
149#17988690C2211yescharacteristic
150#17988690C2211yescharacteristic
151#17988690C2211yescharacteristic
152#17988690C2211yescharacteristic, complemented
153#17988690C2211yescharacteristic, complemented
154#17988688C2211yescharacteristic, complemented
155#17988688C2211yescharacteristic, complemented
156#17988686C2211yescharacteristic, complemented
157#17988685C2211yescharacteristic
158#17988679C2211yescharacteristic, complemented
159#17988679C2211yescharacteristic, complemented
160#17988679C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162#17988672C2211yescharacteristic
163#17988672C2211yescharacteristic
164#17988672C2211yescharacteristic
165#17988672C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168#17988669C2211yescharacteristic
169#17988667C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic
171#17988662C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175#17988645C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988627C2211yescharacteristic, complemented
180#17988623C2211yescharacteristic, complemented
181#17988593C2211yescharacteristic
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic
185#17988545C2211yescharacteristic, complemented
186#17988542C2211yescharacteristic, complemented
187#17988539C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C22×D292C2311yescharacteristic
207C2×D4×D73—21no—
208C2×D4×D73C2311yescharacteristic
209C22×C4×D73—21no—
210#14556622—24no—
211#14556618—24no—
212C2×#11924018C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924015—24no—
217C2×#11924015C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220C2×#11924015C2311yescharacteristic
221C2×#11924015C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×D584C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924012C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C22×#10596831C2311yescharacteristic
230#14556591—21no—
231#14556591C2311yescharacteristic
232#14556590—21no—
233#14556590—21no—
234#14556590C2311yescharacteristic
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556586—21no—
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586—21no—
243#14556586—21no—
244#14556586—21no—
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584D411yescharacteristic
250#14556584D411yescharacteristic
251#14556583—21no—
252#14556582—21no—
253#14556582D411yescharacteristic
254#14556582C2311yescharacteristic
255#14556580—21no—
256#14556580—21no—
257#14556580C2311yescharacteristic
258#14556580C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578—21no—
261#14556578D411yescharacteristic
262#14556578C2311yescharacteristic
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556576—21no—
273#14556575—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556573D411yescharacteristic
284#14556572—21no—
285#14556571—21no—
286#14556571—21no—
287#14556571—21no—
288#14556571—21no—
289#14556571—21no—
290#14556571D411yescharacteristic
291#14556571C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556567—21no—
298#14556567—21no—
299#14556567C2311yescharacteristic
300#14556567C2311yescharacteristic
301#14556566C2311yescharacteristic
302#14556565—21no—
303#14556565—21no—
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556563—21no—
310#14556562—21no—
311#14556562—21no—
312#14556562—21no—
313#14556562D411yescharacteristic
314#14556561—21no—
315#14556559—21no—
316#14556559—21no—
317#14556559—21no—
318Q8×Dic73—21no—
319Q8×Dic73—21no—
320Q8×Dic73—21no—
321Q8×Dic73—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327Q8×Dic73C2311yescharacteristic
328Q8×Dic73C2311yescharacteristic
329C4×Dic146—21no—
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556—21no—
333#14556556—21no—
334#14556556C2311yescharacteristic
335#14556556C2311yescharacteristic
336C4×D292—21no—
337C4×D292—21no—
338C4×D292—21no—
339C4×D292C2311yescharacteristic
340C4×D292C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553—21no—
343#14556553—21no—
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73C2311yescharacteristic
357C4×C22⋊D73C2311yescharacteristic
358#14556551—21no—
359#14556550—21no—
360#14556550—21no—
361#14556550—21no—
362#14556550—21no—
363#14556550C2311yescharacteristic
364#14556550C2311yescharacteristic
365#14556550C2311yescharacteristic
366#14556550C2311yescharacteristic
367#14556549—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549—21no—
371#14556549—21no—
372#14556549—21no—
373#14556549C2311yescharacteristic
374#14556548—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73C2311yescharacteristic
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C42×D73—21no—
384C42×D73C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556525C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398C4⋊#10596831C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556502C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C22×Q8×C73C2311yescharacteristic
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×SD16×C73C2311yescharacteristic
443C2×M16×C73C2311yescharacteristic
444C22×C8×C73C2311yescharacteristic
445C4⋊Q8×C73—21no—
446C4⋊Q8×C73C2311yescharacteristic
447#126×C73—21no—
448#125×C73C2311yescharacteristic
449#123×C73—21no—
450C22⋊Q8×C73—21no—
451C22⋊Q8×C73—21no—
452C22⋊Q8×C73C2311yescharacteristic
453C22⋊Q8×C73C2311yescharacteristic
454#121×C73—21no—
455#121×C73C2311yescharacteristic
456#121×C73C2311yescharacteristic
457C4×Q8×C73C2311yescharacteristic
458C4×D4×C73—21no—
459C4×D4×C73—21no—
460C4×D4×C73C2311yescharacteristic
461C4×D4×C73C2311yescharacteristic
462#117×C73C2311yescharacteristic
463C2×C4⋊C4×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#107×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—22no—
486#11924028—41no—
487#11924028—82no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494C2×D292—22no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—41no—
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×D292C2411yescharacteristic
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73C2×D411yescharacteristic
510C2×C22⋊D73C2×D411yescharacteristic
511D4×D73—22no—
512D4×D73—41no—
513D4×D73—82no—
514C22×Dic73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—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—82no—
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530#11924018—22no—
531#11924018—22no—
532#11924018—41no—
533#11924017—41no—
534#11924015—22no—
535#11924015—22no—
536#11924015—22no—
537#11924015—22no—
538#11924015—41no—
539#11924015#4114yescomplemented
540D584—22no—
541D584—41no—
542#11924013—22no—
543#11924012—22no—
544#11924011—22no—
545#11924011—41no—
546C2×#10596831—22no—
547C2×#10596831C2411yescharacteristic
548C2×#10596831C2411yescharacteristic
549C2×#10596831C2411yescharacteristic
550C2×#10596831C2411yescharacteristic
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2×D411yescharacteristic
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
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#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73C2×D411yescharacteristic
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
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#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#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
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×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C4×Dic73C2411yescharacteristic
636C4×Dic73C2411yescharacteristic
637C2×Q8×C73—21no—
638C2×Q8×C73—21no—
639C2×Q8×C73—22no—
640C2×Q8×C73—22no—
641C2×Q8×C73—41no—
642C2×Q8×C73—41no—
643C2×Q8×C73C2411yescharacteristic
644C2×Q8×C73C2411yescharacteristic
645C2×Q8×C73C2411yescharacteristic
646C2×D4×C73—21no—
647C2×D4×C73—21no—
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73C2411yescharacteristic
655C22×C4×C73C2411yescharacteristic
656SD16×C73—22no—
657SD16×C73—41no—
658SD16×C73—41no—
659M16×C73—41no—
660C2×C8×C73—41no—
661C2×C8×C73C2411yescharacteristic
662C2×C8×C73C2411yescharacteristic
663C2×C8×C73C2411yescharacteristic
664C2×C8×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73C2×D411yescharacteristic
685C22⋊C4×C73C2×D411yescharacteristic
686C42×C73—21no—
687C42×C73—21no—
688C42×C73C2411yescharacteristic
689C23×C73—21no—
690C23×C73C22×D411yescharacteristic
691C23×C73C22×D411yescharacteristic
692C22×D73—21no—
693C22×D73—21no—
694C22×D73—21no—
695C22×D73—42no—
696C22×D73—42no—
697C22×D73—42no—
698C22×D73—81no—
699C22×D73—81no—
700C22×D73—81no—
701C22×D73C22×D411yescharacteristic
702Q8×C73—21no—
703Q8×C73—21no—
704Q8×C73—21no—
705Q8×C73—21no—
706Q8×C73—21no—
707Q8×C73—42no—
708Q8×C73—42no—
709Q8×C73C2×#4112yes—
710D4×C73—21no—
711D4×C73—21no—
712D4×C73—41no—
713D4×C73—81no—
714D4×C73—81no—
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—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—42no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73C22×D411yescharacteristic
731C2×C4×C73C22×D411yescharacteristic
732C2×C4×C73C22×D411yescharacteristic
733C2×C4×C73C22×D411yescharacteristic
734C2×C4×C73C2511yescharacteristic
735C22⋊D73—41no—
736C22⋊D73—41no—
737C22⋊D73—42no—
738C22⋊D73—42no—
739C22⋊D73—81no—
740C22⋊D73—81no—
741C22⋊D73—81no—
742C22⋊D73—81no—
743C22⋊D73—81no—
744C2×Dic73—21no—
745C2×Dic73—21no—
746C2×Dic73—21no—
747C2×Dic73—21no—
748C2×Dic73—21no—
749C2×Dic73—81no—
750C2×Dic73C22×D411yescharacteristic
751C2×Dic73C22×D411yescharacteristic
752C2×Dic73C22×D411yescharacteristic
753C2×Dic73C22×D411yescharacteristic
754C2×Dic73C22×D411yescharacteristic
755C2×Dic73C22×D411yescharacteristic
756C2×Dic73C22×D411yescharacteristic
757D292—21no—
758D292—21no—
759D292—21no—
760D292—21no—
761D292—21no—
762D292—42no—
763D292—42no—
764D292—42no—
765D292C2×#4112yes—
766C4×D73—21no—
767C4×D73—21no—
768C4×D73—41no—
769C4×D73—41no—
770C4×D73—42no—
771C4×D73—42no—
772C4×D73—42no—
773C4×D73—42no—
774C4×D73—81no—
775C4×D73—81no—
776C4×D73—81no—
777C4×D73—81no—
778C4×D73—81no—
779C4×D73—81no—
780C4×D73—81no—
781Dic146—21no—
782Dic146—21no—
783Dic146—41no—
784Dic146—81no—
785Dic146—81no—
786Dic146—81no—
787Dic146—81no—
788C8×C73—21no—
789C8×C73—21no—
790C8×C73—21no—
791C8×C73—21no—
792#10596831—21no—
793#10596831—21no—
794#10596831—21no—
795#10596831C2×#4112yes—
796C22×C73—21no—
797C22×C73—21no—
798C22×C73—21no—
799C22×C73—21no—
800C22×C73—21no—
801C22×C73—21no—
802C22×C73—41no—
803C22×C73—41no—
804C22×C73—41no—
805C22×C73C23×D411yescharacteristic
806C2×D73—21no—
807C2×D73—21no—
808C2×D73—21no—
809C2×D73—22no—
810C2×D73—41no—
811C2×D73—41no—
812C2×D73—41no—
813C2×D73—41no—
814C2×D73—41no—
815C2×D73—41no—
816C2×D73—41no—
817C2×D73—41no—
818C2×D73—84no—
819C2×D73—162no—
820C4×C73—21no—
821C4×C73—21no—
822C4×C73—21no—
823C4×C73—22no—
824C4×C73—21no—
825C4×C73—41no—
826C4×C73—41no—
827C4×C73—41no—
828C4×C73—41no—
829C4×C73—41no—
830C4×C73—41no—
831C4×C73C22×#4111yescharacteristic
832C4×C73#58511yescharacteristic
833Dic73—21no—
834Dic73—21no—
835Dic73—21no—
836Dic73—21no—
837Dic73—21no—
838Dic73—21no—
839Dic73—21no—
840Dic73—41no—
841Dic73—41no—
842Dic73—41no—
843Dic73—41no—
844Dic73—41no—
845#61503—731nomaximal, Sylow
846C2×C73—41no—
847C2×C73—41no—
848C2×C73—81no—
849C2×C73D4×#4111yescharacteristic
850C2×C73#358511yescharacteristic
851C2×C73#358611yescharacteristic
852D73—41no—
853D73—42no—
854D73—81no—
855D73—81no—
856#3518—731no—
857#3513—731no—
858#3401—731no—
859#3385—731no—
860#3376—731no—
861#3375—731no—
862#3353—731no—
863#3349—731no—
864#3347—731no—
865#3327—731no—
866#3324—731no—
867#3320D7311yescharacteristic, complemented
868#3319—731no—
869#3311—731no—
870#3308—731no—
871#3275—731no—
872#3266—731no—
873#3265—731no—
874#3179—731no—
875#3175—731no—
876#3172—731no—
877#3126—731no—
878#3124—731no—
879#3121—731no—
880#3118—731no—
881#3111—731no—
882#3110—731no—
883#2967—731no—
884#2949—731no—
885#2947—731no—
886C4×AGL(1,ℤ/8)—731no—
887C73#6150311yescharacteristic, complemented, Sylow
888C2×#137—731no—
889C2×AGL(1,ℤ/8)—731no—
890C22×SD16—731no—
891#559—731no—
892Q82—731no—
893#556—731no—
894#556—731no—
895#556—731no—
896#556—1461no—
897#556—1461no—
898#556—1461no—
899#555—731no—
900#555—1461no—
901#554—731no—
902#553—1461no—
903#553C2×D7311yescharacteristic
904#552—731no—
905#551—1461no—
906#551—1461no—
907D4×Q8C2×D7311yescharacteristic, complemented
908#548—731no—
909#548—731no—
910#547—731no—
911#546—731no—
912#546—731no—
913#546—1461no—
914D42—731no—
915#542—731no—
916#542—731no—
917#542—731no—
918#542—1461no—
919#542—1461no—
920#540—731no—
921#539—1461no—
922#538—1461no—
923#533—731no—
924#533—1461no—
925#529—731no—
926#529—731no—
927#529—1461no—
928#525—1461no—
929C2×#123—1461no—
930#520—731no—
931#519—731no—
932#519—731no—
933#518—731no—
934C4×#41—731no—
935C2×C4×D4—731no—
936#501—731no—
937#501—731no—
938#500—731no—
939#497—731no—
940#496—731no—
941#495—731no—
942#491C2×D7311yescharacteristic, complemented
943#489—731no—
944#489—731no—
945#489—731no—
946#488—731no—
947#486—731no—
948#485—731no—
949#485—731no—
950#485C2×D7311yescharacteristic, complemented
951#484—731no—
952#484—731no—
953#484C2×D7311yescharacteristic, complemented
954#482—731no—
955#482—731no—
956#482—731no—
957#482—731no—
958#482—731no—
959#480—731no—
960#479—731no—
961#479—731no—
962#479C2×D7311yescharacteristic, complemented
963#478—731no—
964#477—731no—
965#477—731no—
966#476—731no—
967#475—731no—
968#474—731no—
969#474—731no—
970#474—731no—
971#474—731no—
972#470—731no—
973#470—731no—
974#469—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#468C2×D7311yescharacteristic
980#467—731no—
981#466—731no—
982#466—731no—
983#465C2×D7311yescharacteristic, complemented
984#464—731no—
985#464—731no—
986#464—731no—
987#464—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#463—731no—
992#461—731no—
993#461C2×D7311yescharacteristic, complemented
994#460—731no—
995#460—731no—
996#452—731no—
997#452—731no—
998#451—731no—
999#450—731no—
1000#450—731no—
1001#450—731no—
1002#449—731no—
1003#449—731no—
1004#448—731no—
1005#448C2×D7311yescharacteristic
1006#448C2×D7311yescharacteristic, complemented
1007#447—731no—
1008#446—731no—
1009#446—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#441—731no—
1014#441—731no—
1015#440—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#440C2×D7311yescharacteristic, complemented
1026C4×Q16—731no—
1027C4×Q16—731no—
1028C4×Q16—731no—
1029C4×SD16—731no—
1030C4×SD16—731no—
1031C4×SD16—731no—
1032C4×SD16—731no—
1033C4×SD16—731no—
1034C4×SD16—731no—
1035C4×SD16—731no—
1036C4×D8—731no—
1037C4×D8—731no—
1038#436—731no—
1039#436—731no—
1040#435—731no—
1041#435—731no—
1042#435—731no—
1043#435C2×D7311yescharacteristic, complemented
1044#433—731no—
1045#433—731no—
1046#432—731no—
1047#428—731no—
1048#428—731no—
1049#427—731no—
1050#419C2×D7311yescharacteristic, complemented
1051#418—731no—
1052#418—731no—
1053#417—731no—
1054#416—731no—
1055C2×#103C2×D7311yescharacteristic, complemented
1056#405—731no—
1057#405—731no—
1058C4×M16—731no—
1059C2×#41—731no—
1060C2×#41—731no—
1061C2×#41—1461no—
1062C22×Q8C22×D7311yescharacteristic
1063C22×Q8C22×D7311yescharacteristic
1064C22×D4—731no—
1065C22×D4—731no—
1066C22×D4—1461no—
1067C23×C4—1461no—
1068#137—1464no—
1069AGL(1,ℤ/8)—1464no—
1070C2×Q16—731no—
1071C2×Q16—731no—
1072C2×Q16—731no—
1073C2×SD16—731no—
1074C2×SD16—731no—
1075C2×SD16—731no—
1076C2×SD16—731no—
1077C2×SD16—731no—
1078C2×SD16—731no—
1079C2×SD16—731no—
1080C2×SD16—1464no—
1081C2×SD16C22×D7311yescharacteristic
1082C2×SD16C22×D7311yescharacteristic
1083C2×SD16C22×D7311yescharacteristic
1084C2×D8—731no—
1085C2×D8—731no—
1086C2×D8—731no—
1087C2×M16—731no—
1088C2×M16—731no—
1089C2×M16—731no—
1090C2×M16C22×D7311yescharacteristic
1091C22×C8—731no—
1092C22×C8C22×D7311yescharacteristic
1093C4⋊Q8—21no—
1094C4⋊Q8—731no—
1095C4⋊Q8—731no—
1096C4⋊Q8—731no—
1097C4⋊Q8—731no—
1098C4⋊Q8—1461no—
1099C4⋊Q8—1461no—
1100C4⋊Q8—1461no—
1101C4⋊Q8C22×D7311yescharacteristic
1102#127—731no—
1103#126—21no—
1104#126—731no—
1105#126—731no—
1106#126—1461no—
1107#126—1461no—
1108#126—1461no—
1109#126—1461no—
1110#126—1461no—
1111#126—1461no—
1112#126—1461no—
1113#126—1461no—
1114#126—1461no—
1115#126—1461no—
1116#126—1461no—
1117#125—731no—
1118#125—731no—
1119#125—1461no—
1120#125—1461no—
1121#125C22×D7311yescharacteristic
1122#124—731no—
1123#124—731no—
1124#124—731no—
1125#124—731no—
1126#124—731no—
1127#124—1461no—
1128#124—1461no—
1129#124—1461no—
1130#124—1461no—
1131#124—1461no—
1132#124—1461no—
1133#124—1461no—
1134#124—1461no—
1135#124—1461no—
1136#124—1461no—
1137#123—21no—
1138#123—731no—
1139#123—731no—
1140#123—1461no—
1141#123—1461no—
1142#123—1461no—
1143#123—1461no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—731no—
1156C22⋊Q8—731no—
1157C22⋊Q8—731no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—1461no—
1161C22⋊Q8—1461no—
1162C22⋊Q8—1461no—
1163C22⋊Q8—1461no—
1164C22⋊Q8—1461no—
1165C22⋊Q8—1461no—
1166C22⋊Q8—1461no—
1167C22⋊Q8—1461no—
1168C22⋊Q8—1461no—
1169C22⋊Q8—1461no—
1170C22⋊Q8—1461no—
1171C22⋊Q8C22×D7311yescharacteristic
1172C22⋊Q8C22×D7311yescharacteristic
1173#121—21no—
1174#121—731no—
1175#121—731no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—1461no—
1180#121—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121C22×D7311yescharacteristic
1188#121C22×D7311yescharacteristic
1189#120—1461no—
1190#120—1461no—
1191#120—1461no—
1192#120—1461no—
1193C4×Q8—731no—
1194C4×Q8—731no—
1195C4×Q8—731no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—1461no—
1204C4×Q8—1461no—
1205C4×Q8—1461no—
1206C4×Q8—1461no—
1207C4×Q8—1461no—
1208C4×Q8—1461no—
1209C4×Q8—1461no—
1210C4×Q8—1461no—
1211C4×Q8C22×D7311yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—731no—
1223C4×D4—731no—
1224C4×D4—731no—
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×D4C22×D7311yescharacteristic
1238C4×D4C22×D7311yescharacteristic
1239#117—731no—
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—
1249#117—1461no—
1250#117—1461no—
1251#117—1461no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117C22×D7311yescharacteristic
1256C2×C4⋊C4—731no—
1257C2×C4⋊C4—1461no—
1258C2×C4⋊C4—1461no—
1259C2×C4⋊C4C22×D7311yescharacteristic
1260C2×C22⋊C4—1461no—
1261C2×C22⋊C4—1461no—
1262C2×C22⋊C4—1461no—
1263C2×C22⋊C4—1461no—
1264C2×C22⋊C4—1461no—
1265C2×C42—731no—
1266C2×C42—1461no—
1267#107—731no—
1268#107—731no—
1269#107—731no—
1270#107—731no—
1271#107—731no—
1272#107—731no—
1273#107—731no—
1274#107—731no—
1275#107C22×D7311yescharacteristic
1276#107C22×D7311yescharacteristic
1277#106—731no—
1278#106—731no—
1279#106—731no—
1280#106—731no—
1281#106—731no—
1282#106C22×D7311yescharacteristic
1283C4⋊C8—731no—
1284C4⋊C8—731no—
1285C4⋊C8—731no—
1286C4⋊C8—731no—
1287C4⋊C8—731no—
1288C4⋊C8C22×D7311yescharacteristic
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103C22×D7311yescharacteristic
1297#103C22×D7311yescharacteristic
1298#103C22×D7311yescharacteristic
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305#102—731no—
1306#102—731no—
1307#102—731no—
1308#102—731no—
1309#102—731no—
1310#102—731no—
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#102C22×D7311yescharacteristic
1321C22⋊C8—731no—
1322C22⋊C8—731no—
1323C22⋊C8—731no—
1324C22⋊C8—731no—
1325C22⋊C8C22×D7311yescharacteristic
1326C22⋊C8C22×D7311yescharacteristic
1327#97—731no—
1328#97—731no—
1329#97—731no—
1330#97—731no—
1331#97—731no—
1332#97C22×D7311yescharacteristic
1333C4×C8—731no—
1334C4×C8—731no—
1335C4×C8—731no—
1336C4×C8—731no—
1337C24—1461no—
1338C24—1461no—
1339#41—2921no—
1340#41—2921no—
1341#41—5842no—
1342#41—1462no—
1343#41—1462no—
1344C2×Q8—21no—
1345C2×Q8—21no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—41no—
1349C2×Q8—41no—
1350C2×Q8—731no—
1351C2×Q8—731no—
1352C2×Q8—1461no—
1353C2×Q8—1461no—
1354C2×Q8—1461no—
1355C2×Q8—1461no—
1356C2×Q8C23×D7311yescharacteristic
1357C2×Q8C23×D7311yescharacteristic
1358C2×Q8C23×D7311yescharacteristic
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—2921no—
1362C2×D4—2921no—
1363C2×D4—5842no—
1364C2×D4—731no—
1365C2×D4—731no—
1366C2×D4—731no—
1367C2×D4—731no—
1368C2×D4—731no—
1369C2×D4—1461no—
1370C2×D4—1461no—
1371C2×D4—1462no—
1372C2×D4—1461no—
1373C2×D4—1461no—
1374C2×D4—1461no—
1375C2×D4—1462no—
1376C2×D4—1461no—
1377C2×D4—1461no—
1378C2×D4—1461no—
1379C2×D4—1461no—
1380C2×D4—1461no—
1381C2×D4D4×D7311yescharacteristic
1382C2×D4C23×D7311yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—5842no—
1388C22×C4—731no—
1389C22×C4—731no—
1390C22×C4—731no—
1391C22×C4—1461no—
1392C22×C4—1461no—
1393C22×C4—1461no—
1394C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1404C22×C4C23×D7311yescharacteristic
1405Q16—2921no—
1406Q16—1462no—
1407Q16—1462no—
1408SD16—22no—
1409SD16—41no—
1410SD16—41no—
1411SD16—2921no—
1412SD16—2921no—
1413SD16—734no—
1414SD16—1462no—
1415SD16—1462no—
1416SD16—1462no—
1417SD16—1462no—
1418D8—2921no—
1419D8—1462no—
1420D8—1462no—
1421M16—41no—
1422M16—2921no—
1423M16—1462no—
1424M16—1462no—
1425C2×C8—41no—
1426C2×C8—731no—
1427C2×C8—731no—
1428C2×C8—731no—
1429C2×C8—731no—
1430C2×C8—1462no—
1431C2×C8C23×D7311yescharacteristic
1432C2×C8C23×D7311yescharacteristic
1433C2×C8C23×D7311yescharacteristic
1434C2×C8C23×D7311yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—731no—
1444C4⋊C4—731no—
1445C4⋊C4—731no—
1446C4⋊C4—731no—
1447C4⋊C4—731no—
1448C4⋊C4—731no—
1449C4⋊C4—731no—
1450C4⋊C4—731no—
1451C4⋊C4—731no—
1452C4⋊C4—731no—
1453C4⋊C4—731no—
1454C4⋊C4—731no—
1455C4⋊C4—731no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1477C4⋊C4C23×D7311yescharacteristic
1478C4⋊C4C23×D7311yescharacteristic
1479C4⋊C4C23×D7311yescharacteristic
1480C4⋊C4C23×D7311yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—731no—
1488C22⋊C4—731no—
1489C22⋊C4—731no—
1490C22⋊C4—731no—
1491C22⋊C4—731no—
1492C22⋊C4—731no—
1493C22⋊C4—731no—
1494C22⋊C4—731no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4—1461no—
1502C22⋊C4—1461no—
1503C22⋊C4—1461no—
1504C22⋊C4—1461no—
1505C22⋊C4—1461no—
1506C22⋊C4—1461no—
1507C22⋊C4—1461no—
1508C22⋊C4—1461no—
1509C22⋊C4—1461no—
1510C22⋊C4—1461no—
1511C22⋊C4—1461no—
1512C22⋊C4—1461no—
1513C22⋊C4—1461no—
1514C22⋊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⋊C4D4×D7311yescharacteristic
1524C22⋊C4D4×D7311yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—731no—
1528C42—731no—
1529C42—731no—
1530C42—731no—
1531C42—731no—
1532C42—1461no—
1533C42—1461no—
1534C42—1461no—
1535C42—1461no—
1536C42—1461no—
1537C42—1461no—
1538C42—1461no—
1539C42—1461no—
1540C42—1461no—
1541C42—1461no—
1542C42—1461no—
1543C42—1461no—
1544C42C23×D7311yescharacteristic
1545C23—21no—
1546C23—2922no—
1547C23—2922no—
1548C23—2922no—
1549C23—5841no—
1550C23—5841no—
1551C23—5841no—
1552C23—731no—
1553C23—1461no—
1554C23—1461no—
1555C23—1461no—
1556C23C2×D4×D7311yescharacteristic
1557C23C2×D4×D7311yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—21no—
1563Q8—42no—
1564Q8—42no—
1565Q8—2921no—
1566Q8—5841no—
1567Q8—5841no—
1568Q8—5841no—
1569Q8—5841no—
1570Q8—1461no—
1571Q8—1461no—
1572Q8#41×D7312yes—
1573D4—21no—
1574D4—21no—
1575D4—41no—
1576D4—81no—
1577D4—81no—
1578D4—2922no—
1579D4—2922no—
1580D4—2922no—
1581D4—2922no—
1582D4—2921no—
1583D4—2921no—
1584D4—2922no—
1585D4—5841no—
1586D4—5841no—
1587D4—5841no—
1588D4—5841no—
1589D4—5841no—
1590D4—732no—
1591D4—1461no—
1592D4—1461no—
1593D4—1461no—
1594D4—1461no—
1595D4—1461no—
1596C2×C4—21no—
1597C2×C4—21no—
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—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—2922no—
1612C2×C4—2922no—
1613C2×C4—2922no—
1614C2×C4—2921no—
1615C2×C4—2921no—
1616C2×C4—2922no—
1617C2×C4—5841no—
1618C2×C4—5841no—
1619C2×C4—5841no—
1620C2×C4—5841no—
1621C2×C4—5841no—
1622C2×C4—5841no—
1623C2×C4—5841no—
1624C2×C4—5841no—
1625C2×C4—731no—
1626C2×C4—731no—
1627C2×C4—731no—
1628C2×C4—731no—
1629C2×C4—731no—
1630C2×C4—731no—
1631C2×C4—731no—
1632C2×C4—1461no—
1633C2×C4—1461no—
1634C2×C4—1461no—
1635C2×C4—1461no—
1636C2×C4—1461no—
1637C2×C4—1461no—
1638C2×C4—1461no—
1639C2×C4C2×D4×D7311yescharacteristic
1640C2×C4C2×D4×D7311yescharacteristic
1641C2×C4C2×D4×D7311yescharacteristic
1642C2×C4C2×D4×D7311yescharacteristic
1643C2×C4C24×D7311yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—732no—
1649C8—1461no—
1650C8—1461no—
1651C8—1461no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—21no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—2921no—
1662C22—2921no—
1663C22—2921no—
1664C22—2921no—
1665C22—2921no—
1666C22—2921no—
1667C22—2921no—
1668C22—2921no—
1669C22—5844no—
1670C22—11682no—
1671C22—1462no—
1672C22—1461no—
1673C22—1461no—
1674C22—1461no—
1675C22C22×D4×D7311yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—22no—
1679C4—21no—
1680C4—21no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—2921no—
1688C4—2921no—
1689C4—2921no—
1690C4—2921no—
1691C4—2921no—
1692C4—1461no—
1693C4—1461no—
1694C4—1461no—
1695C4—1461no—
1696C4—1461no—
1697C4—1461no—
1698C4—1461no—
1699C4C2×#41×D7311yescharacteristic
1700C4#1798942211yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—81no—
1704C2—2922no—
1705C2—2921no—
1706C2—5841no—
1707C2—5841no—
1708C2#2262341511yescharacteristic
1709C2#2262470911yescharacteristic
1710C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3320C2
socleC22×C73C23×D4
hypercenter#3320D73
hypocenterC73#61503
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #22623943C2semidirect
2. #22623878C2semidirect
3. #22623004C2semidirect
4. #22622844C2semidirect
5. #22622753C2semidirect
6. #22622746C2semidirect
7. #22622508C2semidirect
8. #22622465C2semidirect
9. #22622425C2semidirect
10. #22622195C2semidirect
11. #22622157C2semidirect
12. #22622089C2semidirect
13. #22621973C2semidirect
14. #22621918C2semidirect
15. #22621565C2semidirect
16. #22621442C2semidirect
17. #22621419C2semidirect
18. #22620609C2semidirect
19. #22620565C2semidirect
20. #22620536C2semidirect
21. #22620216C2semidirect
22. #22620196C2semidirect
23. #22620153C2semidirect
24. #22620118C2semidirect
25. #22620047C2semidirect
26. #22620029C2semidirect
27. #22618913C2semidirect
28. #22618786C2semidirect
29. #22618768C2semidirect
30. #22618736C2semidirect
31. C73×#3320C2semidirect
36. Q8×Dic146C22semidirect
38. #17989311C22semidirect
42. #17989308C22semidirect
44. #17989302C22semidirect
51. #17989248C22semidirect
59. #17989210C22semidirect
60. #17989210C22semidirect
66. #17989142C22semidirect
73. #17989065C22semidirect
74. #17989065C22semidirect
76. C4×#11924029C22semidirect
78. #17988997C22semidirect
79. #17988994C22semidirect
80. #17988991C22semidirect
81. #17988979C22semidirect
83. #17988968C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988945C22semidirect
87. #17988943C22semidirect
89. #17988931C22semidirect
90. #17988929C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
94. #17988912C22semidirect
95. #17988911C22semidirect
97. #17988908C22semidirect
98. #17988900C22semidirect
99. #17988896C22semidirect
100. #17988892C22semidirect
101. #17988884C22semidirect
102. #17988881C22semidirect
103. #17988880C22semidirect
105. #17988870C22semidirect
107. #17988867C22semidirect
109. #17988866C22semidirect
110. #17988844C22semidirect
111. #17988844C22semidirect
112. #17988838C22semidirect
115. #17988835C22semidirect
116. #17988833C22semidirect
117. #17988826C22semidirect
118. #17988823C22semidirect
120. #17988812C22semidirect
121. #17988809C22semidirect
122. #17988807C22semidirect
123. #17988807C22semidirect
126. #17988805C22semidirect
127. #17988803C22semidirect
131. #17988752C22semidirect
133. #17988743C22semidirect
139. #17988726C22semidirect
141. #17988716C22semidirect
142. #17988715C22semidirect
144. #17988698C22semidirect
145. #17988697C22semidirect
146. #17988691C22semidirect
147. #17988691C22semidirect
152. #17988690C22semidirect
153. #17988690C22semidirect
154. #17988688C22semidirect
155. #17988688C22semidirect
156. #17988686C22semidirect
158. #17988679C22semidirect
159. #17988679C22semidirect
160. #17988679C22semidirect
161. SD16×Dic73C22semidirect
165. #17988672C22semidirect
166. #17988672C22semidirect
167. #17988672C22semidirect
169. #17988667C22semidirect
171. #17988662C22semidirect
172. #17988659C22semidirect
173. #17988658C22semidirect
175. #17988645C22semidirect
176. #17988645C22semidirect
177. #17988643C22semidirect
178. #17988628C22semidirect
179. #17988627C22semidirect
180. #17988623C22semidirect
183. #17988587C22semidirect
185. #17988545C22semidirect
186. #17988542C22semidirect
187. #17988539C22semidirect
189. D4×Q8×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #479×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. C2×#103×C73C22semidirect
539. #11924015#41semidirect
867. #3320D73semidirect
887. C73#61503semidirect
907. D4×Q8C2×D73semidirect
942. #491C2×D73semidirect
950. #485C2×D73semidirect
953. #484C2×D73semidirect
962. #479C2×D73semidirect
983. #465C2×D73semidirect
993. #461C2×D73semidirect
1006. #448C2×D73semidirect
1025. #440C2×D73semidirect
1043. #435C2×D73semidirect
1050. #419C2×D73semidirect
1055. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239432
#226238782
#226230042
#226228442
#226227532
#226227462
#226225082
#226224652
#226224252
#226221952
#226221572
#226220892
#226219732
#226219182
#226215652
#226214422
#226214192
#226206092
#226205652
#226205362
#226202162
#226201962
#226201532
#226201182
#226200472
#226200292
#226189132
#226187862
#226187682
#226187362
C73×#33202
#6150373