Finite Group Databasebeta

← #33967979

Subgroups — #33967979

Order 18688.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623536C211yesmaximal, characteristic, complemented
2#22623494C211yesmaximal, characteristic, complemented
3#22622996C211yesmaximal, characteristic, complemented
4#22622890C211yesmaximal, characteristic, complemented
5#22622751C211yesmaximal, characteristic, complemented
6#22622681C211yesmaximal, characteristic, complemented
7#22622433C211yesmaximal, characteristic, complemented
8#22622381C211yesmaximal, characteristic, complemented
9#22622305C211yesmaximal, characteristic, complemented
10#22622087C211yesmaximal, characteristic, complemented
11#22622005C211yesmaximal, characteristic, complemented
12#22621945C211yesmaximal, characteristic, complemented
13#22621907C211yesmaximal, characteristic, complemented
14#22621774C211yesmaximal, characteristic, complemented
15#22621759C211yesmaximal, characteristic, complemented
16#22621610C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22620661C211yesmaximal, characteristic, complemented
19#22620637C211yesmaximal, characteristic, complemented
20#22620622C211yesmaximal, characteristic, complemented
21#22620075C211yesmaximal, characteristic, complemented
22#22620070C211yesmaximal, characteristic, complemented
23#22620068C211yesmaximal, characteristic, complemented
24#22620041C211yesmaximal, characteristic, complemented
25#22620041C211yesmaximal, characteristic, complemented
26#22620029C211yesmaximal, characteristic, complemented
27#22618941C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic73C211yesmaximal, characteristic, complemented
29#22618732C211yesmaximal, characteristic, complemented
30#442×D73C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×D8×D73C2211yescharacteristic
33#17989319C2211yescharacteristic, complemented
34#17989311C2211yescharacteristic, complemented
35#17989302C2211yescharacteristic, complemented
36#17989296C2211yescharacteristic, complemented
37#17989295C2211yescharacteristic
38#17989294C2211yescharacteristic, complemented
39#17989289—21no—
40#17989284C2211yescharacteristic
41#17989283C2211yescharacteristic, complemented
42#17989280—21no—
43#17989272—21no—
44#17989271C2211yescharacteristic
45#17989271C2211yescharacteristic, complemented
46#17989263—21no—
47#17989260—21no—
48#17989260—21no—
49#17989260—21no—
50#17989225C2211yescharacteristic
51#17989225C2211yescharacteristic
52#17989225C2211yescharacteristic, complemented
53#17989224—21no—
54D4×C22⋊D73C2211yescharacteristic
55#17989142C2211yescharacteristic, complemented
56#17989132C2211yescharacteristic, complemented
57#17989123C2211yescharacteristic, complemented
58#17989123C2211yescharacteristic, complemented
59#17989123C2211yescharacteristic, complemented
60#17989116C2211yescharacteristic
61#17989114—21no—
62#17989114—21no—
63#17989114—21no—
64#17989097—21no—
65#17989097—21no—
66#17989093—21no—
67#41×Dic73C2211yescharacteristic, complemented
68#41×Dic73C2211yescharacteristic, complemented
69#41×Dic73C2211yescharacteristic, complemented
70C4×#11924027C2211yescharacteristic
71C2×D4×Dic73C2211yescharacteristic, complemented
72C2×#14556551—21no—
73C4×D4×D73C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic, complemented
75C2×#14556549—21no—
76#17988996C2211yescharacteristic, complemented
77#17988994C2211yescharacteristic, complemented
78#17988987C2211yescharacteristic, complemented
79#17988973C2211yescharacteristic
80#17988972C2211yescharacteristic, complemented
81#17988955C2211yescharacteristic, complemented
82#17988950C2211yescharacteristic, complemented
83#17988948C2211yescharacteristic, complemented
84#17988946C2211yescharacteristic, complemented
85#17988943C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988925C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988915C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988912C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic
99#17988896C2211yescharacteristic, complemented
100#17988896C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988888C2211yescharacteristic, complemented
104#17988887C2211yescharacteristic, complemented
105#17988885C2211yescharacteristic, complemented
106#17988885C2211yescharacteristic, complemented
107#17988870C2211yescharacteristic, complemented
108#17988868C2211yescharacteristic, complemented
109#17988867C2211yescharacteristic, complemented
110#17988865C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic
112#17988835C2211yescharacteristic, complemented
113#17988835C2211yescharacteristic, complemented
114#17988825C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988823C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988818C2211yescharacteristic, complemented
119#17988813C2211yescharacteristic
120#17988813C2211yescharacteristic
121#17988811C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic
124#17988804C2211yescharacteristic
125#17988804C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic, complemented
127#17988799C2211yescharacteristic, complemented
128#17988789C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic
131#17988736C2211yescharacteristic
132#17988736C2211yescharacteristic
133#17988736C2211yescharacteristic, complemented
134#17988732C2211yescharacteristic
135#17988732C2211yescharacteristic
136#17988732C2211yescharacteristic, complemented
137#17988721C2211yescharacteristic
138#17988719C2211yescharacteristic
139#17988716C2211yescharacteristic, complemented
140#17988715C2211yescharacteristic, complemented
141#17988700C2211yescharacteristic, complemented
142#17988699C2211yescharacteristic
143#17988699C2211yescharacteristic
144#17988699C2211yescharacteristic, complemented
145#17988698C2211yescharacteristic, complemented
146#17988697C2211yescharacteristic
147#17988697C2211yescharacteristic, complemented
148#17988696C2211yescharacteristic
149#17988696C2211yescharacteristic, complemented
150#17988696C2211yescharacteristic, complemented
151#17988694C2211yescharacteristic, complemented
152#17988694C2211yescharacteristic, complemented
153#17988694C2211yescharacteristic, complemented
154#17988690C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988690C2211yescharacteristic, complemented
157#17988688C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165SD16×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic
167D8×Dic73C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic
169#17988659C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988625C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988588C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186C2×#14556501C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic
190#547×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic
202#435×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027D411yescharacteristic
205C22×C22⋊D73—21no—
206C2×D4×D73C2311yescharacteristic
207C2×D4×D73C2311yescharacteristic
208C23×Dic73—21no—
209C22×C4×D73—21no—
210C22×C4×D73—21no—
211C2×#11924015C2311yescharacteristic
212C2×#11924015C2311yescharacteristic
213C2×#11924015C2311yescharacteristic
214C2×D584C2311yescharacteristic
215C2×#11924013C2311yescharacteristic
216C2×#11924013C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218D8×D73—24no—
219C2×#11924012C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C2×C8×D73C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556586—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556583C2311yescharacteristic
237#14556582—21no—
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556581—21no—
242#14556581—21no—
243#14556581—21no—
244#14556580C2311yescharacteristic
245#14556580C2311yescharacteristic
246#14556580C2311yescharacteristic
247#14556577—21no—
248#14556577—21no—
249#14556577—21no—
250#14556577—21no—
251#14556575—21no—
252#14556575—21no—
253#14556575—21no—
254#14556575—21no—
255#14556574—21no—
256#14556574—21no—
257#14556574—21no—
258#14556573—21no—
259#14556573—21no—
260#14556573—21no—
261#14556573—21no—
262#14556573—21no—
263#14556572—21no—
264#14556571—21no—
265#14556571—21no—
266#14556571—21no—
267#14556570—21no—
268#14556570—21no—
269#14556568—21no—
270#14556568—21no—
271#14556568—21no—
272#14556568—21no—
273#14556568—21no—
274#14556567C2311yescharacteristic
275#14556567C2311yescharacteristic
276#14556567C2311yescharacteristic
277#14556565C2311yescharacteristic
278#14556565C2311yescharacteristic
279#14556565C2311yescharacteristic
280#14556565C2311yescharacteristic
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556563—21no—
285#14556563—21no—
286#14556563—21no—
287#14556562—21no—
288#14556562—21no—
289#14556562C2311yescharacteristic
290#14556560—21no—
291#14556559—21no—
292#14556559—21no—
293#14556559—21no—
294#14556559—21no—
295Q8×Dic73C2311yescharacteristic
296Q8×Dic73C2311yescharacteristic
297Q8×Dic73C2311yescharacteristic
298Q8×Dic73C2311yescharacteristic
299Q8×Dic73C2311yescharacteristic
300Q8×Dic73C2311yescharacteristic
301C4×Dic146C2311yescharacteristic
302#14556556—21no—
303#14556556D411yescharacteristic
304C4×D292C2311yescharacteristic
305C4×D292C2311yescharacteristic
306D4×Dic73—21no—
307D4×Dic73—21no—
308D4×Dic73—21no—
309D4×Dic73—21no—
310D4×Dic73—21no—
311D4×Dic73—21no—
312D4×Dic73—21no—
313D4×Dic73—21no—
314D4×Dic73D411yescharacteristic
315D4×Dic73C2311yescharacteristic
316D4×Dic73C2311yescharacteristic
317D4×Dic73C2311yescharacteristic
318D4×Dic73C2311yescharacteristic
319D4×Dic73C2311yescharacteristic
320D4×Dic73C2311yescharacteristic
321D4×Dic73C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323#14556553C2311yescharacteristic
324#14556553C2311yescharacteristic
325C4×C22⋊D73—21no—
326C4×C22⋊D73—21no—
327C4×C22⋊D73C2311yescharacteristic
328C4×C22⋊D73C2311yescharacteristic
329#14556551—21no—
330#14556551—21no—
331#14556551—21no—
332#14556551—21no—
333#14556551—21no—
334#14556551—21no—
335#14556551—21no—
336#14556551—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551D411yescharacteristic
341#14556551D411yescharacteristic
342#14556550—21no—
343#14556550—21no—
344#14556550—21no—
345#14556550C2311yescharacteristic
346#14556550C2311yescharacteristic
347#14556550C2311yescharacteristic
348#14556549—21no—
349#14556549—21no—
350#14556549—21no—
351#14556549—21no—
352#14556549—21no—
353#14556549—21no—
354#14556549—21no—
355#14556549—21no—
356#14556549D411yescharacteristic
357#14556547—21no—
358#14556547D411yescharacteristic
359#14556547D411yescharacteristic
360C2×C4⋊Dic73—21no—
361C2×C4⋊Dic73C2311yescharacteristic
362C2×#11924007—21no—
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C2×C22⋊Dic73—21no—
366C2×#11924005—21no—
367C2×#11924005—21no—
368C2×#11924005—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C2×C4×Dic73—21no—
372C2×C4×Dic73—21no—
373C2×C4×Dic73—21no—
374C2×C4×Dic73C2311yescharacteristic
375C2×C4×Dic73C2311yescharacteristic
376C42×D73C2311yescharacteristic
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556525C2311yescharacteristic
380#14556525C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392C4⋊#10596831C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556515C2311yescharacteristic
398#14556515C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C2×#41×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440AGL(1,ℤ/8)×C73—24no—
441#135×C73—24no—
442C2×Q16×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic
452C22×C8×C73C2311yescharacteristic
453C4⋊Q8×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457#123×C73—21no—
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#120×C73—21no—
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C2×C4⋊C4×C73—21no—
469C2×C22⋊C4×C73—21no—
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924027—42no—
484#11924027—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146C2×D411yescharacteristic
488C2×D292C2411yescharacteristic
489C2×D292C2411yescharacteristic
490C2×C22⋊D73—21no—
491C2×C22⋊D73—21no—
492C2×C22⋊D73—21no—
493C2×C22⋊D73—21no—
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—44no—
500C2×C22⋊D73C2×D411yescharacteristic
501C2×C22⋊D73C2×D411yescharacteristic
502D4×D73—22no—
503D4×D73—22no—
504D4×D73—41no—
505D4×D73—41no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—82no—
516C22×Dic73C2×D411yescharacteristic
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C22×Dic73C2×D411yescharacteristic
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—44no—
527C2×C4×D73—82no—
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2411yescharacteristic
531#11924015—41no—
532#11924015—41no—
533#11924015—41no—
534D584—22no—
535#11924013—22no—
536#11924013—22no—
537#11924013—41no—
538#11924012—41no—
539C2×#10596831—41no—
540C2×#10596831C2411yescharacteristic
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C8×D73—22no—
545C8×D73—41no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73C2×D411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560C4⋊Dic73C2411yescharacteristic
561C4⋊Dic73C2411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007C2×D411yescharacteristic
576#11924007C2×D411yescharacteristic
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73—21no—
586C22⋊Dic73—21no—
587C22⋊Dic73—21no—
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73C2×D411yescharacteristic
592C22⋊Dic73C2×D411yescharacteristic
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73C2×D411yescharacteristic
622C4×Dic73C2×D411yescharacteristic
623C4×Dic73C2×D411yescharacteristic
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2×D411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C4×Dic73C2411yescharacteristic
630C24×C73—21no—
631#41×C73—22no—
632#41×C73—22no—
633#41×C73—22no—
634#41×C73—41no—
635#41×C73—41no—
636#41×C73—41no—
637C2×Q8×C73C2411yescharacteristic
638C2×Q8×C73C2411yescharacteristic
639C2×Q8×C73C2411yescharacteristic
640C2×D4×C73—22no—
641C2×D4×C73—21no—
642C2×D4×C73—21no—
643C2×D4×C73—21no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—41no—
647C2×D4×C73C2×D411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73C2411yescharacteristic
657C22×C4×C73C2411yescharacteristic
658Q16×C73—22no—
659Q16×C73—41no—
660SD16×C73—22no—
661SD16×C73—22no—
662SD16×C73—22no—
663SD16×C73—22no—
664SD16×C73—41no—
665D8×C73—22no—
666D8×C73#4114yescomplemented
667M16×C73—22no—
668C2×C8×C73—22no—
669C2×C8×C73C2411yescharacteristic
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C4⋊C4×C73—21no—
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73—21no—
677C4⋊C4×C73—21no—
678C4⋊C4×C73C2×D411yescharacteristic
679C4⋊C4×C73C2411yescharacteristic
680C4⋊C4×C73C2411yescharacteristic
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73—21no—
686C22⋊C4×C73—21no—
687C22⋊C4×C73—21no—
688C22⋊C4×C73—21no—
689C22⋊C4×C73C2×D411yescharacteristic
690C22⋊C4×C73C2×D411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—42no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C23×C73C22×D411yescharacteristic
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—42no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713Q8×C73—21no—
714Q8×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—21no—
718D4×C73—21no—
719D4×C73—41no—
720D4×C73—42no—
721D4×C73—42no—
722D4×C73—42no—
723D4×C73—42no—
724D4×C73—81no—
725D4×C73C2×#4112yes—
726D4×C73C2×#4112yes—
727C2×C4×C73—21no—
728C2×C4×C73—21no—
729C2×C4×C73—21no—
730C2×C4×C73—21no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—42no—
737C2×C4×C73—42no—
738C2×C4×C73—42no—
739C2×C4×C73—42no—
740C2×C4×C73—81no—
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C22×D411yescharacteristic
745C2×C4×C73C2511yescharacteristic
746C22⋊D73—22no—
747C22⋊D73—22no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—42no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C2×Dic73—21no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—41no—
764C2×Dic73—41no—
765C2×Dic73—41no—
766C2×Dic73—41no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—81no—
772C2×Dic73—81no—
773C2×Dic73—81no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783D292—21no—
784D292—21no—
785D292—21no—
786D292—21no—
787C4×D73—22no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—41no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—42no—
794C4×D73—42no—
795C4×D73—81no—
796C4×D73—81no—
797Dic146—41no—
798Dic146—81no—
799Dic146—81no—
800C8×C73—21no—
801C8×C73—21no—
802C8×C73—21no—
803C8×C73C2×#4112yes—
804#10596831—21no—
805#10596831—21no—
806#10596831—21no—
807#10596831—21no—
808C22×C73—21no—
809C22×C73—21no—
810C22×C73—22no—
811C22×C73—22no—
812C22×C73—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—21no—
816C22×C73—41no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—84no—
824C22×C73C23×D411yescharacteristic
825C2×D73—21no—
826C2×D73—21no—
827C2×D73—41no—
828C2×D73—41no—
829C2×D73—41no—
830C2×D73—41no—
831C2×D73—41no—
832C2×D73—41no—
833C2×D73—84no—
834C2×D73—84no—
835C2×D73#57512yes—
836C4×C73—21no—
837C4×C73—21no—
838C4×C73—21no—
839C4×C73—21no—
840C4×C73—41no—
841C4×C73—41no—
842C4×C73—41no—
843C4×C73—41no—
844C4×C73—41no—
845C4×C73C22×#4111yescharacteristic
846C4×C73#58511yescharacteristic
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—21no—
853Dic73—21no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73—41no—
860#61454—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—42no—
863C2×C73—41no—
864C2×C73—41no—
865C2×C73—81no—
866C2×C73D4×#4111yescharacteristic
867C2×C73C2×#57511yescharacteristic
868C2×C73#358511yescharacteristic
869D73—22no—
870D73—81no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3401—731no—
875#3389—731no—
876#3376—731no—
877#3370—731no—
878#3347—731no—
879#3344—731no—
880#3337—731no—
881#3319—731no—
882#3314—731no—
883#3310—731no—
884#3307—731no—
885#3297—731no—
886#3296—731no—
887#3280—731no—
888#3267D7311yescharacteristic, complemented
889#3264—731no—
890#3183—731no—
891#3181—731no—
892#3180—731no—
893#3115—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3110—731no—
899#2970—731no—
900C4×AGL(1,ℤ/8)—731no—
901#2943—731no—
902C2×#442—731no—
903C73#6145411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
905C2×#135C2×D7311yescharacteristic
906C22×D8—731no—
907#559—731no—
908#556—731no—
909#555—731no—
910#554—731no—
911#554—731no—
912#554—731no—
913#553—731no—
914#553—731no—
915#553—1461no—
916#553—1461no—
917#552—731no—
918#552—731no—
919#552—1461no—
920#551—1461no—
921#551—1461no—
922#551—1461no—
923#551—1461no—
924#547C2×D7311yescharacteristic, complemented
925#546—731no—
926#546—731no—
927#546—731no—
928#546—1461no—
929#546C2×D7311yescharacteristic, complemented
930D42—731no—
931#533—731no—
932#532—731no—
933#529—731no—
934#529—731no—
935#529—731no—
936#529—731no—
937#529—1461no—
938#529—1461no—
939#529—1461no—
940#525—1461no—
941#525—1461no—
942#525—1461no—
943C4×#41—731no—
944C4×#41—731no—
945C4×#41—731no—
946C4×#41—731no—
947C2×C4×D4—731no—
948C2×C4×D4—731no—
949C2×C4×D4—731no—
950C2×C4×D4—1461no—
951C2×#117—1461no—
952#501—731no—
953#501—731no—
954#499—731no—
955#497C2×D7311yescharacteristic, complemented
956#496—731no—
957#495—731no—
958#491—731no—
959#490—731no—
960#489—731no—
961#489—731no—
962#488—731no—
963#488—731no—
964#485—731no—
965#485—731no—
966#484—731no—
967#484—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#482—731no—
973#482—731no—
974#480—731no—
975#480—731no—
976#479—731no—
977#479—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478—731no—
982#478—731no—
983#478—731no—
984#475—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#470C2×D7311yescharacteristic, complemented
989#469—731no—
990#468—731no—
991#468—731no—
992#467—731no—
993#467—731no—
994#466—731no—
995#466—731no—
996#465—731no—
997#465—731no—
998#465—731no—
999#465C2×D7311yescharacteristic, complemented
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463—731no—
1007#463C2×D7311yescharacteristic, complemented
1008#461—731no—
1009#461C2×D7311yescharacteristic, complemented
1010#460—731no—
1011#459—731no—
1012#452C2×D7311yescharacteristic, complemented
1013#452C2×D7311yescharacteristic, complemented
1014#450—731no—
1015#450—731no—
1016#450—731no—
1017#450C2×D7311yescharacteristic, complemented
1018#449—731no—
1019#449—731no—
1020#449—731no—
1021#449C2×D7311yescharacteristic, complemented
1022#447—731no—
1023#447—731no—
1024#446—731no—
1025#446—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#442—731no—
1033#442—731no—
1034#442—731no—
1035#442—731no—
1036#442C2×D7311yescharacteristic
1037#441—731no—
1038#441—731no—
1039#441—731no—
1040#440—731no—
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440—731no—
1049#440—731no—
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×D8—731no—
1053C4×D8—731no—
1054#435—731no—
1055#435—731no—
1056#435—731no—
1057#435C2×D7311yescharacteristic, complemented
1058C8×D4—731no—
1059C8×D4—731no—
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#427—731no—
1065C2×#106—731no—
1066#418—731no—
1067#417—731no—
1068#416—731no—
1069#416—731no—
1070C2×#102—731no—
1071C2×#102—731no—
1072C4×M16—731no—
1073C2×#97—731no—
1074C2×#97—731no—
1075C2×#41—731no—
1076C2×#41—1461no—
1077C2×#41C22×D7311yescharacteristic
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—731no—
1082C22×D4—1461no—
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—24no—
1088#135—24no—
1089C2×Q16C22×D7311yescharacteristic
1090C2×Q16C22×D7311yescharacteristic
1091C2×SD16—731no—
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16C22×D7311yescharacteristic
1095C2×SD16C22×D7311yescharacteristic
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×D8—731no—
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8—731no—
1103C2×D8—1464no—
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16C22×D7311yescharacteristic
1108C22×C8—731no—
1109C22×C8—731no—
1110C22×C8—731no—
1111C22×C8C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8C22×D7311yescharacteristic
1115#127—731no—
1116#126—1461no—
1117#126—1461no—
1118#126—1461no—
1119#126—1461no—
1120#126—1461no—
1121#126—1461no—
1122#126—1461no—
1123#126—1461no—
1124#126—1461no—
1125#126—1461no—
1126#125—731no—
1127#125—731no—
1128#125—731no—
1129#125—731no—
1130#125—1461no—
1131#125—1461no—
1132#125—1461no—
1133#125—1461no—
1134#124—731no—
1135#124—731no—
1136#124—731no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124—1461no—
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
1153#123—1461no—
1154#123—1461no—
1155#123—1461no—
1156#123—1461no—
1157#123—1461no—
1158C22⋊Q8—731no—
1159C22⋊Q8—731no—
1160C22⋊Q8—731no—
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
1173C22⋊Q8C22×D7311yescharacteristic
1174#121—21no—
1175#121—21no—
1176#121—731no—
1177#121—731no—
1178#121—731no—
1179#121—731no—
1180#121—731no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121—1461no—
1189#121C22×D7311yescharacteristic
1190#120—21no—
1191#120—1461no—
1192#120—1461no—
1193#120—1461no—
1194#120—1461no—
1195#120—1461no—
1196C4×Q8—731no—
1197C4×Q8—731no—
1198C4×Q8—731no—
1199C4×Q8—731no—
1200C4×Q8—731no—
1201C4×Q8—731no—
1202C4×Q8—731no—
1203C4×Q8—731no—
1204C4×Q8—1461no—
1205C4×D4—731no—
1206C4×D4—731no—
1207C4×D4—731no—
1208C4×D4—731no—
1209C4×D4—731no—
1210C4×D4—731no—
1211C4×D4—731no—
1212C4×D4—731no—
1213C4×D4—731no—
1214C4×D4—731no—
1215C4×D4—731no—
1216C4×D4—731no—
1217C4×D4—731no—
1218C4×D4—731no—
1219C4×D4—731no—
1220C4×D4—731no—
1221C4×D4—731no—
1222C4×D4—1461no—
1223C4×D4—1461no—
1224C4×D4—1461no—
1225C4×D4—1461no—
1226C4×D4—1461no—
1227C4×D4—1461no—
1228C4×D4—1461no—
1229C4×D4—1461no—
1230C4×D4—1461no—
1231C4×D4—1461no—
1232C4×D4—1461no—
1233C4×D4—1461no—
1234C4×D4—1461no—
1235C4×D4—1461no—
1236C4×D4—1461no—
1237C4×D4—1461no—
1238C4×D4—1461no—
1239C4×D4—1461no—
1240C4×D4—1461no—
1241C4×D4—1461no—
1242C4×D4—1461no—
1243C4×D4C22×D7311yescharacteristic
1244C4×D4C22×D7311yescharacteristic
1245C4×D4C22×D7311yescharacteristic
1246#117—731no—
1247#117—731no—
1248#117—731no—
1249#117—731no—
1250#117—731no—
1251#117—731no—
1252#117—1461no—
1253#117—1461no—
1254#117—1461no—
1255#117—1461no—
1256#117—1461no—
1257#117—1461no—
1258#117—1461no—
1259#117—1461no—
1260#117—1461no—
1261#117—1461no—
1262#117—1461no—
1263#117—1461no—
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—731no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—1461no—
1272C2×C22⋊C4—1461no—
1273C2×C22⋊C4—1461no—
1274C2×C22⋊C4—1461no—
1275C2×C22⋊C4—1461no—
1276C2×C22⋊C4—1461no—
1277C2×C42—731no—
1278C2×C42—731no—
1279C2×C42—731no—
1280C2×C42—1461no—
1281C2×C42—1461no—
1282C2×C42—1461no—
1283#107—731no—
1284#107—731no—
1285#107—731no—
1286#107—731no—
1287#107—731no—
1288#107—731no—
1289#107—731no—
1290#107—731no—
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106C22×D7311yescharacteristic
1299C4⋊C8—731no—
1300C4⋊C8—731no—
1301C4⋊C8—731no—
1302C4⋊C8—731no—
1303C4⋊C8—731no—
1304C4⋊C8C22×D7311yescharacteristic
1305#103—731no—
1306#103—731no—
1307#103—731no—
1308#103—731no—
1309#103—731no—
1310#103—731no—
1311#103—731no—
1312#103—731no—
1313#103—731no—
1314#103C22×D7311yescharacteristic
1315#103C22×D7311yescharacteristic
1316#103C22×D7311yescharacteristic
1317#102—731no—
1318#102—731no—
1319#102—731no—
1320#102—731no—
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102C22×D7311yescharacteristic
1335#102C22×D7311yescharacteristic
1336#102C22×D7311yescharacteristic
1337C22⋊C8—731no—
1338C22⋊C8—731no—
1339C22⋊C8—731no—
1340C22⋊C8—731no—
1341C22⋊C8C22×D7311yescharacteristic
1342C22⋊C8C22×D7311yescharacteristic
1343#97—731no—
1344#97—731no—
1345#97—731no—
1346#97—731no—
1347#97—731no—
1348#97—731no—
1349#97—731no—
1350#97C22×D7311yescharacteristic
1351C4×C8—731no—
1352C4×C8—731no—
1353C24—21no—
1354C24—1461no—
1355C24—1461no—
1356#41—22no—
1357#41—22no—
1358#41—22no—
1359#41—41no—
1360#41—41no—
1361#41—41no—
1362#41—2922no—
1363#41—5842no—
1364C2×Q8—731no—
1365C2×Q8—1461no—
1366C2×Q8—1461no—
1367C2×Q8C23×D7311yescharacteristic
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—41no—
1377C2×D4—2924no—
1378C2×D4—2921no—
1379C2×D4—2921no—
1380C2×D4—731no—
1381C2×D4—731no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—1461no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1462no—
1391C2×D4—1462no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4D4×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—2924no—
1405C22×C4—5842no—
1406C22×C4—5842no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—731no—
1414C22×C4—1461no—
1415C22×C4—1461no—
1416C22×C4—1461no—
1417C22×C4—1461no—
1418C22×C4—1461no—
1419C22×C4—1461no—
1420C22×C4—1461no—
1421C22×C4—1461no—
1422C22×C4—1461no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4C23×D7311yescharacteristic
1430C22×C4C23×D7311yescharacteristic
1431Q16—22no—
1432Q16—41no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—41no—
1438SD16—2921no—
1439SD16—2921no—
1440SD16—2921no—
1441D8—22no—
1442D8—2921no—
1443D8—1462no—
1444D8—1462no—
1445D8—1462no—
1446D8#1192402714yescomplemented
1447M16—22no—
1448M16—2921no—
1449C2×C8—22no—
1450C2×C8—2921no—
1451C2×C8—2921no—
1452C2×C8—731no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—1462no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—731no—
1467C4⋊C4—731no—
1468C4⋊C4—731no—
1469C4⋊C4—731no—
1470C4⋊C4—731no—
1471C4⋊C4—731no—
1472C4⋊C4—731no—
1473C4⋊C4—731no—
1474C4⋊C4—731no—
1475C4⋊C4—731no—
1476C4⋊C4—731no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4D4×D7311yescharacteristic
1500C4⋊C4C23×D7311yescharacteristic
1501C4⋊C4C23×D7311yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—731no—
1511C22⋊C4—731no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—1461no—
1515C22⋊C4—1461no—
1516C22⋊C4—1461no—
1517C22⋊C4—1461no—
1518C22⋊C4—1461no—
1519C22⋊C4—1461no—
1520C22⋊C4—1461no—
1521C22⋊C4—1461no—
1522C22⋊C4—1461no—
1523C22⋊C4—1461no—
1524C22⋊C4—1461no—
1525C22⋊C4—1461no—
1526C22⋊C4—1461no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4D4×D7311yescharacteristic
1544C22⋊C4D4×D7311yescharacteristic
1545C42—731no—
1546C42—731no—
1547C42—731no—
1548C42—731no—
1549C42—731no—
1550C42—731no—
1551C42—731no—
1552C42—731no—
1553C42—731no—
1554C42—1461no—
1555C42—1461no—
1556C42—1461no—
1557C42—1461no—
1558C42—1461no—
1559C42—1461no—
1560C42—1461no—
1561C42—1461no—
1562C42—1461no—
1563C42C23×D7311yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—42no—
1568C23—42no—
1569C23—81no—
1570C23—2922no—
1571C23—2922no—
1572C23—2922no—
1573C23—2922no—
1574C23—5841no—
1575C23—5841no—
1576C23—731no—
1577C23—1461no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—21no—
1586Q8—21no—
1587Q8—2921no—
1588Q8—5841no—
1589Q8—5841no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—41no—
1595D4—42no—
1596D4—42no—
1597D4—42no—
1598D4—42no—
1599D4—81no—
1600D4—2922no—
1601D4—2922no—
1602D4—2922no—
1603D4—2922no—
1604D4—2922no—
1605D4—5841no—
1606D4—5841no—
1607D4—5841no—
1608D4—5841no—
1609D4—1462no—
1610D4—1462no—
1611D4—1461no—
1612D4—1461no—
1613D4—1461no—
1614D4—1461no—
1615D4C2×#1192402712yes—
1616D4C2×#1192402712yes—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—42no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—42no—
1630C2×C4—81no—
1631C2×C4—2922no—
1632C2×C4—2921no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2921no—
1641C2×C4—2921no—
1642C2×C4—2921no—
1643C2×C4—2921no—
1644C2×C4—5841no—
1645C2×C4—5841no—
1646C2×C4—5841no—
1647C2×C4—5841no—
1648C2×C4—5841no—
1649C2×C4—5841no—
1650C2×C4—5841no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—731no—
1658C2×C4—1462no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1461no—
1665C2×C4—1461no—
1666C2×C4—1461no—
1667C2×C4C2×D4×D7311yescharacteristic
1668C2×C4C2×D4×D7311yescharacteristic
1669C2×C4C2×D4×D7311yescharacteristic
1670C2×C4C2×D4×D7311yescharacteristic
1671C2×C4C24×D7311yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1461no—
1676C8—1461no—
1677C8—1461no—
1678C8—1461no—
1679C8C2×#1192402712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—22no—
1685C22—22no—
1686C22—21no—
1687C22—21no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—84no—
1696C22—2921no—
1697C22—2921no—
1698C22—2921no—
1699C22—2921no—
1700C22—2921no—
1701C22—2921no—
1702C22—5844no—
1703C22—5844no—
1704C22—732no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—1461no—
1724C4—1461no—
1725C4—1461no—
1726C4—1461no—
1727C4—1461no—
1728C4—1461no—
1729C4—1461no—
1730C4C22×#1192402711yescharacteristic
1731C4#1798942211yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—42no—
1735C2—42no—
1736C2—81no—
1737C2—5841no—
1738C2—5841no—
1739C2—1462no—
1740C2D4×#1192402711yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61454
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22623536C2semidirect
2. #22623494C2semidirect
3. #22622996C2semidirect
4. #22622890C2semidirect
5. #22622751C2semidirect
6. #22622681C2semidirect
7. #22622433C2semidirect
8. #22622381C2semidirect
9. #22622305C2semidirect
10. #22622087C2semidirect
11. #22622005C2semidirect
12. #22621945C2semidirect
13. #22621907C2semidirect
14. #22621774C2semidirect
15. #22621759C2semidirect
16. #22621610C2semidirect
17. #22621405C2semidirect
18. #22620661C2semidirect
19. #22620637C2semidirect
20. #22620622C2semidirect
21. #22620075C2semidirect
22. #22620070C2semidirect
23. #22620068C2semidirect
24. #22620041C2semidirect
25. #22620041C2semidirect
26. #22620029C2semidirect
27. #22618941C2semidirect
28. AGL(1,ℤ/8)×Dic73C2semidirect
29. #22618732C2semidirect
30. #442×D73C2semidirect
31. C73×#3267C2semidirect
33. #17989319C22semidirect
34. #17989311C22semidirect
35. #17989302C22semidirect
36. #17989296C22semidirect
38. #17989294C22semidirect
41. #17989283C22semidirect
45. #17989271C22semidirect
52. #17989225C22semidirect
55. #17989142C22semidirect
56. #17989132C22semidirect
57. #17989123C22semidirect
58. #17989123C22semidirect
59. #17989123C22semidirect
67. #41×Dic73C22semidirect
68. #41×Dic73C22semidirect
69. #41×Dic73C22semidirect
71. C2×D4×Dic73C22semidirect
74. C4×D4×D73C22semidirect
76. #17988996C22semidirect
77. #17988994C22semidirect
78. #17988987C22semidirect
80. #17988972C22semidirect
81. #17988955C22semidirect
82. #17988950C22semidirect
83. #17988948C22semidirect
84. #17988946C22semidirect
85. #17988943C22semidirect
86. #17988943C22semidirect
87. #17988925C22semidirect
88. #17988925C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988916C22semidirect
92. #17988915C22semidirect
93. #17988912C22semidirect
94. #17988912C22semidirect
95. #17988912C22semidirect
96. #17988908C22semidirect
97. #17988901C22semidirect
99. #17988896C22semidirect
100. #17988896C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988888C22semidirect
104. #17988887C22semidirect
105. #17988885C22semidirect
106. #17988885C22semidirect
107. #17988870C22semidirect
108. #17988868C22semidirect
109. #17988867C22semidirect
110. #17988865C22semidirect
112. #17988835C22semidirect
113. #17988835C22semidirect
114. #17988825C22semidirect
115. #17988825C22semidirect
116. #17988823C22semidirect
117. #17988821C22semidirect
118. #17988818C22semidirect
121. #17988811C22semidirect
122. #17988811C22semidirect
125. #17988804C22semidirect
126. #17988804C22semidirect
127. #17988799C22semidirect
128. #17988789C22semidirect
129. #17988785C22semidirect
133. #17988736C22semidirect
136. #17988732C22semidirect
139. #17988716C22semidirect
140. #17988715C22semidirect
141. #17988700C22semidirect
144. #17988699C22semidirect
145. #17988698C22semidirect
147. #17988697C22semidirect
149. #17988696C22semidirect
150. #17988696C22semidirect
151. #17988694C22semidirect
152. #17988694C22semidirect
153. #17988694C22semidirect
154. #17988690C22semidirect
155. #17988690C22semidirect
156. #17988690C22semidirect
157. #17988688C22semidirect
158. #17988688C22semidirect
159. #17988688C22semidirect
160. #17988688C22semidirect
161. #17988688C22semidirect
162. #17988688C22semidirect
163. #17988688C22semidirect
164. SD16×Dic73C22semidirect
165. SD16×Dic73C22semidirect
167. D8×Dic73C22semidirect
169. #17988659C22semidirect
171. C8×C22⋊D73C22semidirect
172. #17988650C22semidirect
173. #17988643C22semidirect
174. #17988641C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. #17988625C22semidirect
178. #106×D73C22semidirect
179. #17988592C22semidirect
180. #17988588C22semidirect
181. #17988583C22semidirect
182. #17988583C22semidirect
184. #102×D73C22semidirect
185. M16×Dic73C22semidirect
186. C2×#14556501C22semidirect
187. #97×D73C22semidirect
190. #547×C73C22semidirect
191. #546×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
202. #435×C73C22semidirect
666. D8×C73#41semidirect
888. #3267D73semidirect
903. C73#61454semidirect
924. #547C2×D73semidirect
929. #546C2×D73semidirect
955. #497C2×D73semidirect
988. #470C2×D73semidirect
999. #465C2×D73semidirect
1007. #463C2×D73semidirect
1009. #461C2×D73semidirect
1012. #452C2×D73semidirect
1013. #452C2×D73semidirect
1017. #450C2×D73semidirect
1021. #449C2×D73semidirect
1057. #435C2×D73semidirect
1446. D8#11924027semidirect

Maximal subgroups

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

subgroupindex
#226235362
#226234942
#226229962
#226228902
#226227512
#226226812
#226224332
#226223812
#226223052
#226220872
#226220052
#226219452
#226219072
#226217742
#226217592
#226216102
#226214052
#226206612
#226206372
#226206222
#226200752
#226200702
#226200682
#226200412
#226200292
#226189412
AGL(1,ℤ/8)×Dic732
#226187322
#442×D732
C73×#32672
#6145473