Finite Group Databasebeta

← #33972856

Subgroups — #33972856

Order 18688.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624312C211yesmaximal, characteristic, complemented
2#22623687C211yesmaximal, characteristic, complemented
3#22622093C211yesmaximal, characteristic, complemented
4#22622080C211yesmaximal, characteristic, complemented
5#22622032C211yesmaximal, characteristic, complemented
6#22622029C211yesmaximal, characteristic, complemented
7#22622016C211yesmaximal, characteristic, complemented
8#22622007C211yesmaximal, characteristic, complemented
9#22621959C211yesmaximal, characteristic, complemented
10#22621952C211yesmaximal, characteristic, complemented
11#22621492C211yesmaximal, characteristic, complemented
12#22621487C211yesmaximal, characteristic, complemented
13#22621450C211yesmaximal, characteristic, complemented
14#22621449C211yesmaximal, characteristic, complemented
15#22621444C211yesmaximal, characteristic, complemented
16#22621441C211yesmaximal, characteristic, complemented
17#22621425C211yesmaximal, characteristic, complemented
18#22620963C211yesmaximal, characteristic, complemented
19#22620940C211yesmaximal, characteristic, complemented
20#22620830C211yesmaximal, characteristic, complemented
21#22620827C211yesmaximal, characteristic, complemented
22#22620809C211yesmaximal, characteristic, complemented
23#22620808C211yesmaximal, characteristic, complemented
24#22620068C211yesmaximal, characteristic, complemented
25#22620028C211yesmaximal, characteristic, complemented
26#22619234C211yesmaximal, characteristic, complemented
27#22619230C211yesmaximal, characteristic, complemented
28#22619204C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×#14556610C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40#17989333—21no—
41#17989332—21no—
42#17989301C2211yescharacteristic, complemented
43#17989299—21no—
44#17989295C2211yescharacteristic, complemented
45#17989286—21no—
46#17989278C2211yescharacteristic, complemented
47#17989277C2211yescharacteristic, complemented
48Q8×C22⋊D73C2211yescharacteristic, complemented
49#17989245C2211yescharacteristic, complemented
50#17989242C2211yescharacteristic
51#17989241C2211yescharacteristic
52#17989237—21no—
53#17989236C2211yescharacteristic, complemented
54#17989234C2211yescharacteristic
55#17989234C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989231C2211yescharacteristic
58#17989224—21no—
59#17989224—21no—
60#17989222C2211yescharacteristic
61D4×C22⋊D73—21no—
62#17989216—21no—
63#17989202—21no—
64#17989201—21no—
65#17989187—21no—
66#17989166C2211yescharacteristic
67#17989166C2211yescharacteristic
68#17989166C2211yescharacteristic, complemented
69#17989165C2211yescharacteristic, complemented
70#17989161C2211yescharacteristic, complemented
71#17989160C2211yescharacteristic, complemented
72#17989147—21no—
73#17989147—21no—
74#17989141C2211yescharacteristic, complemented
75#17989135C2211yescharacteristic
76#17989134C2211yescharacteristic
77#17989116C2211yescharacteristic, complemented
78C2×#14556562—21no—
79#121×D73—21no—
80C4×D4×D73C2211yescharacteristic
81#17988982C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988956C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988923C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988888C2211yescharacteristic, complemented
101#17988887C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988845C2211yescharacteristic, complemented
105#17988844C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988827C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988800C2211yescharacteristic, complemented
121#17988800C2211yescharacteristic, complemented
122#17988799C2211yescharacteristic, complemented
123#17988798C2211yescharacteristic, complemented
124#17988797C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988790C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988751C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988750C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic, complemented
135#17988746C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988746C2211yescharacteristic, complemented
140#17988746C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988744C2211yescharacteristic, complemented
143#17988743C2211yescharacteristic, complemented
144#17988739C2211yescharacteristic
145#17988738C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic
148#17988736C2211yescharacteristic
149#17988736C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic, complemented
151#17988736C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic
159#17988719C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988696C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988592C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988589C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988584C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556512C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C22×C22⋊D73—21no—
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230#14556622—42no—
231#14556620—42no—
232#14556615—42no—
233#14556611—42no—
234#14556610—42no—
235C2×Dic292C2311yescharacteristic
236C2×Dic292C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249SD16×D73—42no—
250C2×#11924013C2311yescharacteristic
251C2×#11924012C2311yescharacteristic
252C2×#11924011C2311yescharacteristic
253C2×#11924011C2311yescharacteristic
254C22×#10596831C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257#14556591C2311yescharacteristic
258#14556590—21no—
259#14556590D411yescharacteristic
260#14556590C2311yescharacteristic
261#14556589—21no—
262#14556589—21no—
263#14556589C2311yescharacteristic
264#14556587D411yescharacteristic
265#14556585—21no—
266#14556584—21no—
267#14556584—21no—
268#14556583C2311yescharacteristic
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556580—21no—
274#14556578—21no—
275#14556578C2311yescharacteristic
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577D411yescharacteristic
281#14556577D411yescharacteristic
282#14556576—21no—
283#14556576—21no—
284#14556575—21no—
285#14556575—21no—
286#14556574—21no—
287#14556574—21no—
288#14556574—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556572—21no—
296#14556572—21no—
297#14556572—21no—
298#14556572—21no—
299#14556571—21no—
300#14556571C2311yescharacteristic
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556570—21no—
304#14556570—21no—
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556570C2311yescharacteristic
309#14556569—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556567—21no—
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556567C2311yescharacteristic
320#14556567C2311yescharacteristic
321#14556566D411yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564D411yescharacteristic
329#14556564D411yescharacteristic
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563—21no—
338#14556563—21no—
339#14556562—21no—
340#14556562—21no—
341#14556562—21no—
342#14556562—21no—
343#14556562—21no—
344#14556562—21no—
345#14556562—21no—
346#14556562—21no—
347#14556562—21no—
348#14556562D411yescharacteristic
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556560—21no—
354#14556560—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359Q8×Dic73C2311yescharacteristic
360C4×Dic146—21no—
361C4×Dic146C2311yescharacteristic
362C4×D292C2311yescharacteristic
363C4×D292C2311yescharacteristic
364D4×Dic73—21no—
365D4×Dic73—21no—
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368#14556553C2311yescharacteristic
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556550C2311yescharacteristic
378#14556549C2311yescharacteristic
379#14556548—21no—
380#14556548—21no—
381#14556547—21no—
382#14556547—21no—
383#14556547—21no—
384C2×C4⋊Dic73—21no—
385C2×C4⋊Dic73C2311yescharacteristic
386C2×#11924007—21no—
387C4⋊C4×D73—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C22×Q8×C73C2311yescharacteristic
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450AGL(1,ℤ/8)×C73—42no—
451C2×SD16×C73—42no—
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic
461C2×M16×C73C2311yescharacteristic
462C22×C8×C73C2311yescharacteristic
463#127×C73C2311yescharacteristic
464#124×C73—21no—
465#124×C73C2311yescharacteristic
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474#120×C73—21no—
475C4×Q8×C73C2311yescharacteristic
476C4×D4×C73—21no—
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493#11924028—22no—
494#11924028—22no—
495#11924028—41no—
496#11924028—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924027—22no—
502#11924027—22no—
503#11924027—41no—
504#11924027—41no—
505#11924027—41no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2×D411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—41no—
521Q8×D73—41no—
522C2×D292C2×D411yescharacteristic
523C2×D292C2×D411yescharacteristic
524C2×D292C2×D411yescharacteristic
525C2×D292C2411yescharacteristic
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—44no—
541C2×C22⋊D73—44no—
542C2×C22⋊D73—44no—
543C2×C22⋊D73—44no—
544C2×C22⋊D73C2×D411yescharacteristic
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550D4×D73—22no—
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—44no—
557D4×D73—44no—
558D4×D73—82no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—82no—
575C2×C4×D73C2×D411yescharacteristic
576C2×C4×D73C2×D411yescharacteristic
577C2×C4×D73C2411yescharacteristic
578C2×C4×D73C2411yescharacteristic
579C2×C4×D73C2411yescharacteristic
580Dic292—41no—
581Dic292—41no—
582#11924018—41no—
583#11924018—41no—
584#11924018—41no—
585#11924018—41no—
586#11924017—22no—
587#11924016—22no—
588#11924016—41no—
589#11924016—41no—
590#11924016—41no—
591#11924016—41no—
592#11924015—22no—
593#11924015—22no—
594#11924013—22no—
595#11924012—41no—
596#11924011—41no—
597#11924011—41no—
598C2×#10596831—41no—
599C2×#10596831C2411yescharacteristic
600C2×#10596831C2411yescharacteristic
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C8×D73—41no—
604C8×D73—41no—
605C4⋊Dic73—21no—
606C4⋊Dic73—21no—
607C4⋊Dic73—21no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73C2×D411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614C4⋊Dic73C2411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73C2×D411yescharacteristic
673C4×Dic73C2×D411yescharacteristic
674C4×Dic73C2411yescharacteristic
675C24×C73—21no—
676C24×C73—21no—
677#41×C73—41no—
678#41×C73—41no—
679C2×Q8×C73—21no—
680C2×Q8×C73—41no—
681C2×Q8×C73—41no—
682C2×Q8×C73C2411yescharacteristic
683C2×Q8×C73C2411yescharacteristic
684C2×D4×C73—22no—
685C2×D4×C73—22no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—41no—
695C2×D4×C73—41no—
696C2×D4×C73—82no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707SD16×C73—22no—
708SD16×C73—22no—
709SD16×C73—41no—
710SD16×C73—41no—
711SD16×C73—41no—
712SD16×C73—41no—
713D8×C73—22no—
714D8×C73—41no—
715D8×C73—41no—
716M16×C73—41no—
717C2×C8×C73—41no—
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—42no—
743C23×C73—42no—
744C23×C73—81no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—21no—
751C22×D73—24no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—81no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—41no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73—81no—
782D4×C73—81no—
783D4×C73—81no—
784D4×C73H(5,𝔽2)12yes—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—42no—
794C2×C4×C73—81no—
795C2×C4×C73—81no—
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C2511yescharacteristic
801C22⋊D73—24no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—41no—
807C22⋊D73—41no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—42no—
829C2×Dic73—42no—
830C2×Dic73—42no—
831C2×Dic73—42no—
832C2×Dic73—42no—
833C2×Dic73—81no—
834C2×Dic73—81no—
835C2×Dic73—81no—
836C2×Dic73C22×D411yescharacteristic
837C2×Dic73C22×D411yescharacteristic
838C2×Dic73C22×D411yescharacteristic
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841D292—21no—
842D292—41no—
843D292—41no—
844D292—41no—
845D292H(5,𝔽2)12yes—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—41no—
853C4×D73—41no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—81no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—41no—
868Dic146—41no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—22no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—162no—
898C22×C73—162no—
899C22×C73C23×D411yescharacteristic
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—22no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—84no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61670—731nomaximal, Sylow
938C2×C73—42no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—81no—
942C2×C73—81no—
943C2×C73—81no—
944C2×C73#348411yescharacteristic
945C2×C73#358511yescharacteristic
946C2×C73#358611yescharacteristic
947D73—41no—
948D73—41no—
949D73—41no—
950D73—42no—
951#3547—731no—
952#3496—731no—
953#3319—731no—
954#3319—731no—
955#3315—731no—
956#3315—731no—
957#3314—731no—
958#3314—731no—
959#3310—731no—
960#3310—731no—
961#3269—731no—
962#3269—731no—
963#3267—731no—
964#3267—731no—
965#3266—731no—
966#3266—731no—
967#3265—731no—
968#3265D7311yescharacteristic, complemented
969#3219—731no—
970#3216—731no—
971#3203—731no—
972#3203—731no—
973#3201—731no—
974#3201—731no—
975#3114—731no—
976#3110—731no—
977#3012—731no—
978#3012—731no—
979#3009—731no—
980#3009—731no—
981#2980—731no—
982C73#6167011yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C2×H(5,𝔽2)—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×AGL(1,ℤ/8)—731no—
988C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
989C2×#135—731no—
990C2×#135—731no—
991C22×SD16—731no—
992C22×SD16C2×D7311yescharacteristic, complemented
993#562—1461no—
994#562—1461no—
995#555—731no—
996#555—1461no—
997#554—731no—
998#553—1461no—
999#552—731no—
1000#552—731no—
1001D4×Q8—731no—
1002#548—731no—
1003#548C2×D7311yescharacteristic, complemented
1004#547—731no—
1005#547—731no—
1006#547—731no—
1007#547—1461no—
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—731no—
1012#546—1461no—
1013#546—1461no—
1014D42—731no—
1015D42—1461no—
1016D42C2×D7311yescharacteristic
1017#544—1461no—
1018#542—1461no—
1019#542—1461no—
1020#540—1461no—
1021#537—731no—
1022#537—731no—
1023#537—731no—
1024#537—731no—
1025#536—731no—
1026#536—731no—
1027#534—1461no—
1028#534—1461no—
1029#533—731no—
1030#532—731no—
1031#532—731no—
1032#529—731no—
1033C2×#121—1461no—
1034C2×#121—1461no—
1035C2×C4×D4—731no—
1036#497—731no—
1037#497—731no—
1038#497—731no—
1039#496C2×D7311yescharacteristic, complemented
1040#491—731no—
1041#490—731no—
1042#489—731no—
1043#489—731no—
1044#485—731no—
1045#485—731no—
1046#484—731no—
1047#484—731no—
1048#484—731no—
1049#484—731no—
1050#483—731no—
1051#482—731no—
1052#482—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#478—731no—
1057#478—731no—
1058#474—731no—
1059#474—731no—
1060#470—731no—
1061#470—731no—
1062#468—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468C2×D7311yescharacteristic, complemented
1068#467—731no—
1069#467—731no—
1070#467—731no—
1071#467—731no—
1072#466—731no—
1073#466C2×D7311yescharacteristic, complemented
1074#465—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#463—731no—
1079#463—731no—
1080#463—731no—
1081#463C2×D7311yescharacteristic, complemented
1082#462—731no—
1083#462—731no—
1084#461—731no—
1085#461—731no—
1086#460—731no—
1087#460C2×D7311yescharacteristic, complemented
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452—731no—
1101#452—731no—
1102#451—731no—
1103#451—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450—731no—
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449C2×D7311yescharacteristic, complemented
1119#448—731no—
1120#448C2×D7311yescharacteristic, complemented
1121#447—731no—
1122#447—731no—
1123#447C2×D7311yescharacteristic, complemented
1124#442—731no—
1125#442—731no—
1126#440—731no—
1127#440—731no—
1128#440—731no—
1129#440—731no—
1130#440—731no—
1131#440C2×D7311yescharacteristic, complemented
1132#435—731no—
1133#435—731no—
1134#435—731no—
1135#435—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435C2×D7311yescharacteristic, complemented
1140#432—731no—
1141#432—731no—
1142#418—731no—
1143#418—731no—
1144#417—731no—
1145#417—731no—
1146#416—731no—
1147#416—731no—
1148C2×#102—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#408—731no—
1153#408—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156H(5,𝔽2)—2922no—
1157H(5,𝔽2)—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—731no—
1166C2×#41—731no—
1167C2×#41—1461no—
1168C2×#41—1461no—
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8C22×D7311yescharacteristic
1172C22×D4—21no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4C22×D7311yescharacteristic
1184C22×D4C22×D7311yescharacteristic
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188AGL(1,ℤ/8)—42no—
1189AGL(1,ℤ/8)—2922no—
1190#135—2922no—
1191#135—2922no—
1192C2×Q16—731no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×SD16—42no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16C22×D7311yescharacteristic
1209C2×SD16C22×D7311yescharacteristic
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8C22×D7311yescharacteristic
1216C2×D8C22×D7311yescharacteristic
1217C2×D8C22×D7311yescharacteristic
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16C22×D7311yescharacteristic
1222C22×C8—731no—
1223C22×C8—731no—
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—731no—
1230C4⋊Q8—1461no—
1231C4⋊Q8—1461no—
1232C4⋊Q8—1461no—
1233#127—731no—
1234#127C22×D7311yescharacteristic
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#125—731no—
1239#125—1461no—
1240#125—1461no—
1241#125—1461no—
1242#125—1461no—
1243#124—21no—
1244#124—731no—
1245#124—731no—
1246#124—731no—
1247#124—731no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124C22×D7311yescharacteristic
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271C22⋊Q8—21no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8C22×D7311yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121C22×D7311yescharacteristic
1330#121C22×D7311yescharacteristic
1331#121C22×D7311yescharacteristic
1332#120—21no—
1333#120—21no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—1461no—
1343C4×Q8C22×D7311yescharacteristic
1344C4×D4—21no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4C22×D7311yescharacteristic
1361C4×D4C22×D7311yescharacteristic
1362#117—731no—
1363#117—731no—
1364#117—1461no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117—1461no—
1369C2×C4⋊C4—731no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—1461no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C42—731no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107C22×D7311yescharacteristic
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439#97—731no—
1440#97C22×D7311yescharacteristic
1441C24—21no—
1442C24—21no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—41no—
1447#41—41no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2924no—
1455#41—2924no—
1456#41—2921no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467#41—1462no—
1468C2×Q8—21no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—731no—
1477C2×Q8—731no—
1478C2×Q8—1461no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—82no—
1495C2×D4—2924no—
1496C2×D4—2924no—
1497C2×D4—2924no—
1498C2×D4—2924no—
1499C2×D4—2924no—
1500C2×D4—2924no—
1501C2×D4—2921no—
1502C2×D4—2921no—
1503C2×D4—5842no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—731no—
1512C2×D4—731no—
1513C2×D4—731no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1462no—
1518C2×D4—1462no—
1519C2×D4—1462no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1462no—
1532C2×D4D4×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C2×D4C23×D7311yescharacteristic
1536C2×D4C23×D7311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—5842no—
1541C22×C4—731no—
1542C22×C4—731no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—2921no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—2921no—
1568Q16—2921no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591C2×C8—41no—
1592C2×C8—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4D4×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—731no—
1682C42—731no—
1683C42—731no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—2922no—
1700C23—2922no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—731no—
1708C23—731no—
1709C23—731no—
1710C23—1464no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—2921no—
1720Q8—2921no—
1721Q8—5841no—
1722Q8—5841no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—2921no—
1746D4—2921no—
1747D4—2921no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2922no—
1754D4—2921no—
1755D4—2921no—
1756D4—2921no—
1757D4—2921no—
1758D4—2921no—
1759D4—2921no—
1760D4—2922no—
1761D4—2922no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—732no—
1768D4—1464no—
1769D4—1461no—
1770D4#1455663612yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—42no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—2922no—
1783C2×C4—2922no—
1784C2×C4—2922no—
1785C2×C4—2921no—
1786C2×C4—2921no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—731no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—162no—
1849C22—162no—
1850C22—2921no—
1851C22—2921no—
1852C22—5844no—
1853C22—11682no—
1854C22—11682no—
1855C22—1462no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—2921no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—81no—
1894C2—2922no—
1895C2—2921no—
1896C2—2921no—
1897C2—2921no—
1898C2#2262355911yescharacteristic
1899C2#2262470711yescharacteristic
1900C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61670
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22624312C2semidirect
2. #22623687C2semidirect
3. #22622093C2semidirect
4. #22622080C2semidirect
5. #22622032C2semidirect
6. #22622029C2semidirect
7. #22622016C2semidirect
8. #22622007C2semidirect
9. #22621959C2semidirect
10. #22621952C2semidirect
11. #22621492C2semidirect
12. #22621487C2semidirect
13. #22621450C2semidirect
14. #22621449C2semidirect
15. #22621444C2semidirect
16. #22621441C2semidirect
17. #22621425C2semidirect
18. #22620963C2semidirect
19. #22620940C2semidirect
20. #22620830C2semidirect
21. #22620827C2semidirect
22. #22620809C2semidirect
23. #22620808C2semidirect
24. #22620068C2semidirect
25. #22620028C2semidirect
26. #22619234C2semidirect
27. #22619230C2semidirect
28. #22619204C2semidirect
29. #22619203C2semidirect
30. #22618999C2semidirect
31. C73×#3265C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556611C22semidirect
38. C2×#14556610C22semidirect
39. C2×SD16×D73C22semidirect
42. #17989301C22semidirect
44. #17989295C22semidirect
46. #17989278C22semidirect
47. #17989277C22semidirect
48. Q8×C22⋊D73C22semidirect
49. #17989245C22semidirect
53. #17989236C22semidirect
68. #17989166C22semidirect
69. #17989165C22semidirect
70. #17989161C22semidirect
71. #17989160C22semidirect
74. #17989141C22semidirect
77. #17989116C22semidirect
81. #17988982C22semidirect
82. #17988978C22semidirect
83. #17988978C22semidirect
84. #17988956C22semidirect
85. #17988951C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988924C22semidirect
91. #17988924C22semidirect
92. #17988923C22semidirect
93. #17988921C22semidirect
94. #17988916C22semidirect
95. #17988910C22semidirect
96. #17988908C22semidirect
97. #17988899C22semidirect
98. #17988899C22semidirect
99. #17988898C22semidirect
100. #17988888C22semidirect
101. #17988887C22semidirect
102. #17988866C22semidirect
103. #17988865C22semidirect
104. #17988845C22semidirect
105. #17988844C22semidirect
106. #17988832C22semidirect
107. #17988831C22semidirect
108. #17988831C22semidirect
109. #17988830C22semidirect
110. #17988830C22semidirect
111. #17988828C22semidirect
112. #17988827C22semidirect
113. #17988827C22semidirect
114. #17988826C22semidirect
115. #17988820C22semidirect
116. #17988814C22semidirect
117. #17988813C22semidirect
118. #17988807C22semidirect
119. #17988807C22semidirect
120. #17988800C22semidirect
121. #17988800C22semidirect
122. #17988799C22semidirect
123. #17988798C22semidirect
124. #17988797C22semidirect
125. #17988791C22semidirect
126. #17988790C22semidirect
127. #17988784C22semidirect
128. #17988751C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988750C22semidirect
132. #17988750C22semidirect
133. #17988749C22semidirect
134. #17988747C22semidirect
135. #17988746C22semidirect
136. #17988746C22semidirect
137. #17988746C22semidirect
138. #17988746C22semidirect
139. #17988746C22semidirect
140. #17988746C22semidirect
141. #17988746C22semidirect
142. #17988744C22semidirect
143. #17988743C22semidirect
145. #17988738C22semidirect
146. #17988738C22semidirect
149. #17988736C22semidirect
150. #17988736C22semidirect
151. #17988736C22semidirect
152. #17988730C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988729C22semidirect
157. #17988724C22semidirect
159. #17988719C22semidirect
160. #17988699C22semidirect
161. #17988696C22semidirect
162. #17988690C22semidirect
163. #17988689C22semidirect
164. #17988688C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. #17988661C22semidirect
168. #17988660C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988643C22semidirect
175. #17988642C22semidirect
176. #17988592C22semidirect
177. #17988590C22semidirect
178. #17988589C22semidirect
179. #17988585C22semidirect
180. #17988584C22semidirect
181. #17988580C22semidirect
182. C2×#14556512C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
968. #3265D73semidirect
982. C73#61670semidirect
988. C2×AGL(1,ℤ/8)C2×D73semidirect
992. C22×SD16C2×D73semidirect
1003. #548C2×D73semidirect
1039. #496C2×D73semidirect
1067. #468C2×D73semidirect
1073. #466C2×D73semidirect
1081. #463C2×D73semidirect
1087. #460C2×D73semidirect
1112. #450C2×D73semidirect
1118. #449C2×D73semidirect
1120. #448C2×D73semidirect
1123. #447C2×D73semidirect
1131. #440C2×D73semidirect
1139. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243122
#226236872
#226220932
#226220802
#226220322
#226220292
#226220162
#226220072
#226219592
#226219522
#226214922
#226214872
#226214502
#226214492
#226214442
#226214412
#226214252
#226209632
#226209402
#226208302
#226208272
#226208092
#226208082
#226200682
#226200282
#226192342
#226192302
#226192042
#226192032
#226189992
C73×#32652
#6167073