Finite Group Databasebeta

← #33968223

Subgroups — #33968223

Order 18688.

1918 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#22623482C211yesmaximal, characteristic, complemented
3#22622924C211yesmaximal, characteristic, complemented
4#22622798C211yesmaximal, characteristic, complemented
5#22622586C211yesmaximal, characteristic, complemented
6#22622575C211yesmaximal, characteristic, complemented
7#22622552C211yesmaximal, characteristic, complemented
8#22622497C211yesmaximal, characteristic, complemented
9#22622493C211yesmaximal, characteristic, complemented
10#22622240C211yesmaximal, characteristic, complemented
11#22622166C211yesmaximal, characteristic, complemented
12#22622147C211yesmaximal, characteristic, complemented
13#22622140C211yesmaximal, characteristic, complemented
14#22622136C211yesmaximal, characteristic, complemented
15#22622132C211yesmaximal, characteristic, complemented
16#22621536C211yesmaximal, characteristic, complemented
17#22621525C211yesmaximal, characteristic, complemented
18#22620657C211yesmaximal, characteristic, complemented
19#22620653C211yesmaximal, characteristic, complemented
20#22620644C211yesmaximal, characteristic, complemented
21#22620086C211yesmaximal, characteristic, complemented
22#22620068C211yesmaximal, characteristic, complemented
23#22620064C211yesmaximal, characteristic, complemented
24#22620041C211yesmaximal, characteristic, complemented
25#22620037C211yesmaximal, characteristic, complemented
26#22620017C211yesmaximal, characteristic, complemented
27#22618947C211yesmaximal, characteristic, complemented
28AGL(1,ℤ/8)×Dic73C211yesmaximal, characteristic, complemented
29AGL(1,ℤ/8)×Dic73C211yesmaximal, characteristic, complemented
30C4×#14556615C211yesmaximal, characteristic, complemented
31C73×#3273C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33#17989319C2211yescharacteristic, complemented
34#17989306C2211yescharacteristic, complemented
35#17989301C2211yescharacteristic
36#17989296C2211yescharacteristic, complemented
37#17989296C2211yescharacteristic, complemented
38#17989295C2211yescharacteristic, complemented
39#17989284C2211yescharacteristic
40#17989283C2211yescharacteristic
41#17989280—21no—
42#17989280—21no—
43#17989279C2211yescharacteristic, complemented
44#17989277C2211yescharacteristic, complemented
45#17989274—21no—
46#17989268—21no—
47#17989263—21no—
48#17989263—21no—
49#17989260—21no—
50#17989236C2211yescharacteristic
51#17989231C2211yescharacteristic, complemented
52#17989225C2211yescharacteristic
53#17989224—21no—
54D4×C22⋊D73C2211yescharacteristic, complemented
55#17989139C2211yescharacteristic, complemented
56#17989132C2211yescharacteristic
57#17989123C2211yescharacteristic, complemented
58#17989118—21no—
59#17989118C2211yescharacteristic, complemented
60#17989116C2211yescharacteristic, complemented
61#17989116C2211yescharacteristic, complemented
62#17989114—21no—
63#17989114—21no—
64#17989097—21no—
65#17989093—21no—
66#17989093—21no—
67#41×Dic73C2211yescharacteristic
68#41×Dic73C2211yescharacteristic, complemented
69C4×#11924027C2211yescharacteristic
70C4×#11924027C2211yescharacteristic, complemented
71C2×D4×Dic73C2211yescharacteristic, complemented
72C2×D4×Dic73C2211yescharacteristic, complemented
73C2×#14556551—21no—
74C4×D4×D73C2211yescharacteristic, complemented
75C2×#14556547—21no—
76#17988991C2211yescharacteristic, complemented
77#17988989C2211yescharacteristic, complemented
78#17988988C2211yescharacteristic, complemented
79#17988968C2211yescharacteristic, complemented
80#17988958C2211yescharacteristic, complemented
81#17988943C2211yescharacteristic, complemented
82#17988941C2211yescharacteristic, complemented
83#17988941C2211yescharacteristic, complemented
84#17988940C2211yescharacteristic, complemented
85#17988936C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988903C2211yescharacteristic, complemented
97#17988899C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988896C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988889C2211yescharacteristic, complemented
104#17988888C2211yescharacteristic, complemented
105#17988887C2211yescharacteristic, complemented
106#17988887C2211yescharacteristic, complemented
107#17988880C2211yescharacteristic, complemented
108#17988875C2211yescharacteristic, complemented
109#17988875C2211yescharacteristic, complemented
110#17988875C2211yescharacteristic, complemented
111#17988843C2211yescharacteristic, complemented
112#17988842C2211yescharacteristic, complemented
113#17988838C2211yescharacteristic
114#17988837C2211yescharacteristic
115#17988835C2211yescharacteristic, complemented
116#17988833C2211yescharacteristic, complemented
117#17988833C2211yescharacteristic, complemented
118#17988831C2211yescharacteristic, complemented
119#17988830C2211yescharacteristic, complemented
120#17988830C2211yescharacteristic, complemented
121#17988811C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988804C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic
125#17988800C2211yescharacteristic, complemented
126#17988799C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988780C2211yescharacteristic
130#17988780C2211yescharacteristic
131#17988749C2211yescharacteristic
132#17988746C2211yescharacteristic, complemented
133#17988738C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988732C2211yescharacteristic
136#17988729C2211yescharacteristic
137#17988721C2211yescharacteristic, complemented
138#17988719C2211yescharacteristic
139C8×Dic146C2211yescharacteristic, complemented
140#17988711C2211yescharacteristic, complemented
141#17988699C2211yescharacteristic
142#17988699C2211yescharacteristic
143#17988699C2211yescharacteristic, complemented
144#17988699C2211yescharacteristic, complemented
145#17988696C2211yescharacteristic, complemented
146#17988696C2211yescharacteristic, complemented
147#17988694C2211yescharacteristic, complemented
148#17988691C2211yescharacteristic, complemented
149#17988690C2211yescharacteristic, complemented
150#17988688C2211yescharacteristic, complemented
151#17988688C2211yescharacteristic, complemented
152#17988688C2211yescharacteristic, complemented
153#17988688C2211yescharacteristic, complemented
154#17988686C2211yescharacteristic, complemented
155#17988684C2211yescharacteristic, complemented
156#17988684C2211yescharacteristic, complemented
157C4×#11924017C2211yescharacteristic, complemented
158SD16×Dic73C2211yescharacteristic, complemented
159SD16×Dic73C2211yescharacteristic, complemented
160SD16×Dic73C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924016C2211yescharacteristic, complemented
163D8×Dic73C2211yescharacteristic
164D8×Dic73C2211yescharacteristic
165D8×Dic73C2211yescharacteristic
166D8×Dic73C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988665C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988643C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic, complemented
175#17988641C2211yescharacteristic, complemented
176#17988629C2211yescharacteristic, complemented
177#17988629C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988592C2211yescharacteristic, complemented
180#17988592C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988588C2211yescharacteristic
183#17988588C2211yescharacteristic, complemented
184#17988585C2211yescharacteristic, complemented
185M16×Dic73C2211yescharacteristic, complemented
186M16×Dic73C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic
200#447×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic
202#436×C73C2211yescharacteristic, complemented
203C2×#11924027—21no—
204C2×#11924027D411yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×C22⋊D73—21no—
207C2×D4×D73C2311yescharacteristic
208C23×Dic73—21no—
209C23×Dic73—21no—
210C22×C4×D73—21no—
211#14556615—24no—
212C2×#11924018C2311yescharacteristic
213C2×#11924017C2311yescharacteristic
214C2×#11924016C2311yescharacteristic
215C2×#11924016C2311yescharacteristic
216C2×#11924015C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C2×#11924012C2311yescharacteristic
220C2×#11924012C2311yescharacteristic
221C2×#11924011C2311yescharacteristic
222C2×#11924011C2311yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556589C2311yescharacteristic
226#14556587C2311yescharacteristic
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556584—21no—
231#14556584—21no—
232#14556584—21no—
233#14556584—21no—
234#14556584—21no—
235#14556584—21no—
236#14556584—21no—
237#14556583C2311yescharacteristic
238#14556583C2311yescharacteristic
239#14556582—21no—
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556581—21no—
243#14556581—21no—
244#14556581—21no—
245#14556580C2311yescharacteristic
246#14556578—21no—
247#14556578C2311yescharacteristic
248#14556577—21no—
249#14556577—21no—
250#14556577—21no—
251#14556575—21no—
252#14556575—21no—
253#14556575—21no—
254#14556574—21no—
255#14556574—21no—
256#14556573—21no—
257#14556573—21no—
258#14556573—21no—
259#14556573—21no—
260#14556572—21no—
261#14556572—21no—
262#14556572—21no—
263#14556572—21no—
264#14556572—21no—
265#14556571—21no—
266#14556570—21no—
267#14556570—21no—
268#14556570C2311yescharacteristic
269#14556570C2311yescharacteristic
270#14556568—21no—
271#14556568—21no—
272#14556568—21no—
273#14556568—21no—
274#14556568—21no—
275#14556568—21no—
276#14556568—21no—
277#14556567C2311yescharacteristic
278#14556567C2311yescharacteristic
279#14556565C2311yescharacteristic
280#14556565C2311yescharacteristic
281#14556563—21no—
282#14556563—21no—
283#14556563—21no—
284#14556563—21no—
285#14556563—21no—
286#14556563—21no—
287#14556563—21no—
288#14556562—21no—
289#14556562C2311yescharacteristic
290#14556562C2311yescharacteristic
291#14556560—21no—
292#14556560—21no—
293#14556559—21no—
294#14556559—21no—
295Q8×Dic73C2311yescharacteristic
296Q8×Dic73C2311yescharacteristic
297Q8×Dic73C2311yescharacteristic
298Q8×Dic73C2311yescharacteristic
299C4×Dic146C2311yescharacteristic
300C4×Dic146C2311yescharacteristic
301#14556556—21no—
302#14556556D411yescharacteristic
303#14556556C2311yescharacteristic
304C4×D292C2311yescharacteristic
305D4×Dic73—21no—
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
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325#14556553C2311yescharacteristic
326C4×C22⋊D73—21no—
327C4×C22⋊D73—21no—
328C4×C22⋊D73C2311yescharacteristic
329C4×C22⋊D73C2311yescharacteristic
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#14556550C2311yescharacteristic
345#14556550C2311yescharacteristic
346#14556549—21no—
347#14556549D411yescharacteristic
348#14556549C2311yescharacteristic
349#14556547—21no—
350#14556547—21no—
351#14556547—21no—
352#14556547—21no—
353#14556547—21no—
354#14556547—21no—
355#14556547—21no—
356#14556547—21no—
357#14556547—21no—
358#14556547D411yescharacteristic
359#14556547D411yescharacteristic
360C2×C4⋊Dic73C2311yescharacteristic
361C2×C4⋊Dic73C2311yescharacteristic
362C2×#11924007—21no—
363C2×#11924007—21no—
364C2×#11924007—21no—
365C4⋊C4×D73C2311yescharacteristic
366C2×C22⋊Dic73—21no—
367C2×C22⋊Dic73—21no—
368C2×C22⋊Dic73—21no—
369C2×#11924005—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#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556523C2311yescharacteristic
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#14556516C2311yescharacteristic
398#14556516C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556512C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556501C2311yescharacteristic
428#14556501C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C8×Dic73C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×#41×C73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440AGL(1,ℤ/8)×C73—24no—
441AGL(1,ℤ/8)×C73—24no—
442C2×Q16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×M16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453#124×C73C2311yescharacteristic
454#124×C73C2311yescharacteristic
455#123×C73—21no—
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#120×C73—21no—
464#120×C73—21no—
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C2×C22⋊C4×C73—21no—
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482#11924027—22no—
483#11924027—41no—
484#11924027—42no—
485#11924027—82no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2×D411yescharacteristic
489C2×Dic146C2411yescharacteristic
490C2×D292C2411yescharacteristic
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—41no—
504C22×Dic73—21no—
505C22×Dic73—21no—
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—21no—
516C22×Dic73—21no—
517C22×Dic73—44no—
518C22×Dic73—82no—
519C22×Dic73C2×D411yescharacteristic
520C22×Dic73C2×D411yescharacteristic
521C22×Dic73C2×D411yescharacteristic
522C22×Dic73C2×D411yescharacteristic
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—82no—
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530#11924018—41no—
531#11924017—22no—
532#11924016—22no—
533#11924016—41no—
534#11924015—41no—
535#11924013—22no—
536#11924013—41no—
537#11924012—41no—
538#11924012—41no—
539#11924011—22no—
540#11924011—41no—
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73—21no—
548C4⋊Dic73—21no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73C2×D411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555C4⋊Dic73C2411yescharacteristic
556C4⋊Dic73C2411yescharacteristic
557C4⋊Dic73C2411yescharacteristic
558C4⋊Dic73C2411yescharacteristic
559C4⋊Dic73C2411yescharacteristic
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
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#11924007—21no—
576#11924007—21no—
577#11924007C2×D411yescharacteristic
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73C2×D411yescharacteristic
600C22⋊Dic73C2×D411yescharacteristic
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—
631C24×C73—21no—
632#41×C73—22no—
633#41×C73—22no—
634#41×C73—41no—
635#41×C73—41no—
636C2×Q8×C73C2411yescharacteristic
637C2×Q8×C73C2411yescharacteristic
638C2×D4×C73—22no—
639C2×D4×C73—22no—
640C2×D4×C73—21no—
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×C73—41no—
648C2×D4×C73C2×D411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C2×D4×C73C2411yescharacteristic
651C2×D4×C73C2411yescharacteristic
652C2×D4×C73C2411yescharacteristic
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73C2411yescharacteristic
658C22×C4×C73C2411yescharacteristic
659Q16×C73—41no—
660SD16×C73—22no—
661SD16×C73—22no—
662SD16×C73—22no—
663SD16×C73—22no—
664D8×C73—22no—
665D8×C73—22no—
666D8×C73—41no—
667D8×C73#4114yescomplemented
668M16×C73—22no—
669M16×C73—22no—
670C2×C8×C73C2411yescharacteristic
671C2×C8×C73C2411yescharacteristic
672C2×C8×C73C2411yescharacteristic
673C2×C8×C73C2411yescharacteristic
674C4⋊C4×C73—21no—
675C4⋊C4×C73—21no—
676C4⋊C4×C73C2×D411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C4⋊C4×C73C2411yescharacteristic
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
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—21no—
696C23×C73—42no—
697C23×C73—42no—
698C23×C73—42no—
699C23×C73—42no—
700C23×C73—81no—
701C23×C73—81no—
702C23×C73C22×D411yescharacteristic
703C23×C73C22×D411yescharacteristic
704C22×D73—21no—
705C22×D73—42no—
706C22×D73—42no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709Q8×C73—21no—
710Q8×C73—21no—
711Q8×C73—21no—
712Q8×C73—21no—
713D4×C73—21no—
714D4×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×C73—81no—
726D4×C73C2×#4112yes—
727D4×C73C2×#4112yes—
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—81no—
739C2×C4×C73—81no—
740C2×C4×C73C22×D411yescharacteristic
741C2×C4×C73C22×D411yescharacteristic
742C2×C4×C73C22×D411yescharacteristic
743C2×C4×C73C22×D411yescharacteristic
744C2×C4×C73C2511yescharacteristic
745C22⋊D73—22no—
746C22⋊D73—41no—
747C22⋊D73—42no—
748C22⋊D73—42no—
749C22⋊D73—42no—
750C22⋊D73—42no—
751C22⋊D73—42no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C2×Dic73—22no—
756C2×Dic73—21no—
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—42no—
767C2×Dic73—42no—
768C2×Dic73—42no—
769C2×Dic73—42no—
770C2×Dic73—42no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—42no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73C22×D411yescharacteristic
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786D292—21no—
787D292—21no—
788C4×D73—21no—
789C4×D73—21no—
790C4×D73—41no—
791C4×D73—41no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795Dic146—22no—
796Dic146—21no—
797Dic146—21no—
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—41no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—84no—
827C22×C73—84no—
828C22×C73C23×D411yescharacteristic
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—41no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—84no—
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×C73C22×#4111yescharacteristic
845C4×C73#58511yescharacteristic
846Dic73—21no—
847Dic73—21no—
848Dic73—21no—
849Dic73—21no—
850Dic73—21no—
851Dic73—21no—
852Dic73—41no—
853Dic73—41no—
854Dic73—41no—
855Dic73—41no—
856Dic73—41no—
857Dic73—41no—
858Dic73—41no—
859Dic73#57512yes—
860#61464—731nomaximal, Sylow
861C2×C73—42no—
862C2×C73—41no—
863C2×C73—41no—
864C2×C73—42no—
865C2×C73—81no—
866C2×C73—81no—
867C2×C73D4×#4111yescharacteristic
868C2×C73C2×#57511yescharacteristic
869C2×C73#358511yescharacteristic
870D73—41no—
871D73—81no—
872#3481—731no—
873#3475—731no—
874#3394—731no—
875#3380—731no—
876#3361—731no—
877#3360—731no—
878#3357—731no—
879#3351—731no—
880#3351—731no—
881#3331—731no—
882#3325—731no—
883#3323—731no—
884#3323—731no—
885#3322—731no—
886#3322—731no—
887#3273—731no—
888#3273D7311yescharacteristic, complemented
889#3272—731no—
890#3183—731no—
891#3183—731no—
892#3182—731no—
893#3116—731no—
894#3114—731no—
895#3114—731no—
896#3111—731no—
897#3111—731no—
898#3109—731no—
899#2971—731no—
900C4×AGL(1,ℤ/8)—731no—
901C4×AGL(1,ℤ/8)—731no—
902C4×AGL(1,ℤ/8)—731no—
903C73#6146411yescharacteristic, complemented, Sylow
904C2×AGL(1,ℤ/8)—731no—
905C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
906C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
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#547—731no—
925#546—731no—
926#546—731no—
927#546—1461no—
928#546C2×D7311yescharacteristic
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#500—731no—
953#499—731no—
954#499—731no—
955#495—731no—
956#495C2×D7311yescharacteristic, complemented
957#492—731no—
958#488—731no—
959#488—731no—
960#488—731no—
961#488—731no—
962#487—731no—
963#486—731no—
964#485—731no—
965#485—731no—
966#485—731no—
967#485—731no—
968#483—731no—
969#483—731no—
970#482—731no—
971#482—731no—
972#481—731no—
973#481—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#477—731no—
985#476—731no—
986#476—731no—
987#476—731no—
988#470—731no—
989#470—731no—
990#469—731no—
991#469—731no—
992#468—731no—
993#468—731no—
994#468—731no—
995#468—731no—
996#468—731no—
997#468—731no—
998#468C2×D7311yescharacteristic, complemented
999#468C2×D7311yescharacteristic, complemented
1000#464—731no—
1001#464—731no—
1002#463—731no—
1003#463—731no—
1004#463—731no—
1005#463—731no—
1006#463C2×D7311yescharacteristic
1007#463C2×D7311yescharacteristic, complemented
1008#462—731no—
1009#461—731no—
1010#459—731no—
1011#459—731no—
1012#452—731no—
1013#452—731no—
1014#452C2×D7311yescharacteristic
1015#452C2×D7311yescharacteristic, complemented
1016#450—731no—
1017#450—731no—
1018#449—731no—
1019#449—731no—
1020#447—731no—
1021#447—731no—
1022#447C2×D7311yescharacteristic
1023#447C2×D7311yescharacteristic, complemented
1024C8×Q8—731no—
1025C8×Q8—731no—
1026#442—731no—
1027#442—731no—
1028#442—731no—
1029#442—731no—
1030#442—731no—
1031#442—731no—
1032#441—731no—
1033#441—731no—
1034#440—731no—
1035#440—731no—
1036#440—731no—
1037#440—731no—
1038#440—731no—
1039#440—731no—
1040#440—731no—
1041#440—731no—
1042C4×SD16—731no—
1043C4×SD16—731no—
1044C4×SD16—731no—
1045C4×SD16—731no—
1046C4×SD16—731no—
1047C4×SD16—731no—
1048C4×D8—731no—
1049C4×D8—731no—
1050C4×D8—731no—
1051C4×D8—731no—
1052C4×D8—731no—
1053C4×D8C2×D7311yescharacteristic
1054#436—731no—
1055#436—731no—
1056#436—731no—
1057#436—731no—
1058#436—731no—
1059#436C2×D7311yescharacteristic, complemented
1060#432—731no—
1061#432—731no—
1062#432—731no—
1063#428—731no—
1064#428—731no—
1065#428—731no—
1066#418—731no—
1067#418—731no—
1068#418—731no—
1069#417—731no—
1070#417—731no—
1071#417—731no—
1072C4×M16—731no—
1073C4×M16—731no—
1074C4×M16—731no—
1075C2×#41—731no—
1076C2×#41—731no—
1077C2×#41—1461no—
1078C2×#41C22×D7311yescharacteristic
1079C2×#41C22×D7311yescharacteristic
1080C22×D4—731no—
1081C22×D4—1461no—
1082C22×D4C22×D7311yescharacteristic
1083C22×D4C22×D7311yescharacteristic
1084C23×C4—1461no—
1085C23×C4—1461no—
1086C23×C4—1461no—
1087AGL(1,ℤ/8)—24no—
1088AGL(1,ℤ/8)—24no—
1089AGL(1,ℤ/8)—1464no—
1090C2×Q16—731no—
1091C2×Q16C22×D7311yescharacteristic
1092C2×SD16—731no—
1093C2×SD16—731no—
1094C2×SD16—731no—
1095C2×SD16—731no—
1096C2×SD16C22×D7311yescharacteristic
1097C2×SD16C22×D7311yescharacteristic
1098C2×SD16C22×D7311yescharacteristic
1099C2×SD16C22×D7311yescharacteristic
1100C2×D8—731no—
1101C2×D8—731no—
1102C2×D8C22×D7311yescharacteristic
1103C2×D8C22×D7311yescharacteristic
1104C2×D8C22×D7311yescharacteristic
1105C2×D8C22×D7311yescharacteristic
1106C2×M16—731no—
1107C2×M16—731no—
1108C2×M16—731no—
1109C2×M16—731no—
1110C2×M16C22×D7311yescharacteristic
1111C2×M16C22×D7311yescharacteristic
1112C4⋊Q8—731no—
1113C4⋊Q8—731no—
1114C4⋊Q8—731no—
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—1461no—
1137#124—1461no—
1138#124—1461no—
1139#124—1461no—
1140#124C22×D7311yescharacteristic
1141#124C22×D7311yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1461no—
1145#123—1461no—
1146#123—1461no—
1147#123—1461no—
1148#123—1461no—
1149#123—1461no—
1150#123—1461no—
1151#123—1461no—
1152#123—1461no—
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—731no—
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⋊Q8—1461no—
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—1461no—
1181#121—1461no—
1182#121—1461no—
1183#121—1461no—
1184#121—1461no—
1185#121—1461no—
1186#121—1461no—
1187#121—1461no—
1188#121C22×D7311yescharacteristic
1189#121C22×D7311yescharacteristic
1190#120—21no—
1191#120—21no—
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—731no—
1265C2×C4⋊C4—731no—
1266C2×C4⋊C4—731no—
1267C2×C4⋊C4—1461no—
1268C2×C4⋊C4—1461no—
1269C2×C4⋊C4—1461no—
1270C2×C22⋊C4—21no—
1271C2×C22⋊C4—21no—
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#107C22×D7311yescharacteristic
1291#106—731no—
1292#106—731no—
1293#106—731no—
1294#106—731no—
1295#106—731no—
1296#106—731no—
1297#106—731no—
1298#106—731no—
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#103—731no—
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#102C22×D7311yescharacteristic
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—
1347C4×C8—731no—
1348C4×C8—731no—
1349C4×C8—731no—
1350C4×C8—731no—
1351C4×C8—731no—
1352C4×C8C22×D7311yescharacteristic
1353C24—21no—
1354C24—21no—
1355C24—1461no—
1356#41—22no—
1357#41—22no—
1358#41—41no—
1359#41—41no—
1360#41—2921no—
1361#41—2922no—
1362#41—5842no—
1363#41—1462no—
1364C2×Q8—731no—
1365C2×Q8—731no—
1366C2×Q8—1461no—
1367C2×Q8—1461no—
1368C2×Q8C23×D7311yescharacteristic
1369C2×Q8C23×D7311yescharacteristic
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—21no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—2924no—
1381C2×D4—2921no—
1382C2×D4—731no—
1383C2×D4—731no—
1384C2×D4—731no—
1385C2×D4—1461no—
1386C2×D4—1461no—
1387C2×D4—1461no—
1388C2×D4—1461no—
1389C2×D4—1461no—
1390C2×D4—1461no—
1391C2×D4—1462no—
1392C2×D4—1461no—
1393C2×D4—1461no—
1394C2×D4D4×D7311yescharacteristic
1395C2×D4C23×D7311yescharacteristic
1396C2×D4C23×D7311yescharacteristic
1397C2×D4C23×D7311yescharacteristic
1398C2×D4C23×D7311yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—2924no—
1404C22×C4—5842no—
1405C22×C4—5842no—
1406C22×C4—731no—
1407C22×C4—731no—
1408C22×C4—731no—
1409C22×C4—731no—
1410C22×C4—731no—
1411C22×C4—731no—
1412C22×C4—731no—
1413C22×C4—1461no—
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—41no—
1432Q16—2921no—
1433SD16—22no—
1434SD16—22no—
1435SD16—22no—
1436SD16—22no—
1437SD16—2921no—
1438SD16—2921no—
1439SD16—1462no—
1440SD16—1462no—
1441D8—22no—
1442D8—22no—
1443D8—41no—
1444D8—2921no—
1445D8—1462no—
1446D8#1192402714yescomplemented
1447M16—22no—
1448M16—22no—
1449M16—2921no—
1450M16—2921no—
1451M16—2921no—
1452M16—1462no—
1453C2×C8—731no—
1454C2×C8—731no—
1455C2×C8—731no—
1456C2×C8—731no—
1457C2×C8C23×D7311yescharacteristic
1458C2×C8C23×D7311yescharacteristic
1459C2×C8C23×D7311yescharacteristic
1460C2×C8C23×D7311yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—731no—
1464C4⋊C4—731no—
1465C4⋊C4—731no—
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—1461no—
1475C4⋊C4—1461no—
1476C4⋊C4—1461no—
1477C4⋊C4—1461no—
1478C4⋊C4—1461no—
1479C4⋊C4—1461no—
1480C4⋊C4—1461no—
1481C4⋊C4—1461no—
1482C4⋊C4—1461no—
1483C4⋊C4—1461no—
1484C4⋊C4—1461no—
1485C4⋊C4—1461no—
1486C4⋊C4—1461no—
1487C4⋊C4—1461no—
1488C4⋊C4—1461no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊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—21no—
1511C22⋊C4—21no—
1512C22⋊C4—731no—
1513C22⋊C4—731no—
1514C22⋊C4—731no—
1515C22⋊C4—731no—
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—21no—
1568C23—42no—
1569C23—42no—
1570C23—42no—
1571C23—42no—
1572C23—81no—
1573C23—81no—
1574C23—2922no—
1575C23—2922no—
1576C23—5841no—
1577C23—731no—
1578C23—1461no—
1579C23C2×D4×D7311yescharacteristic
1580C23C2×D4×D7311yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—5841no—
1586Q8—5841no—
1587Q8—1462no—
1588Q8—1461no—
1589Q8—1461no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—41no—
1597D4—42no—
1598D4—42no—
1599D4—42no—
1600D4—42no—
1601D4—81no—
1602D4—81no—
1603D4—2922no—
1604D4—2922no—
1605D4—2922no—
1606D4—2922no—
1607D4—2922no—
1608D4—2921no—
1609D4—5841no—
1610D4—5841no—
1611D4—5841no—
1612D4—1462no—
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—42no—
1626C2×C4—42no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—2921no—
1630C2×C4—2921no—
1631C2×C4—2922no—
1632C2×C4—2922no—
1633C2×C4—2922no—
1634C2×C4—2922no—
1635C2×C4—2922no—
1636C2×C4—2922no—
1637C2×C4—2922no—
1638C2×C4—2922no—
1639C2×C4—2922no—
1640C2×C4—2922no—
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—731no—
1651C2×C4—731no—
1652C2×C4—731no—
1653C2×C4—731no—
1654C2×C4—731no—
1655C2×C4—731no—
1656C2×C4—731no—
1657C2×C4—1461no—
1658C2×C4—1461no—
1659C2×C4—1461no—
1660C2×C4—1461no—
1661C2×C4—1461no—
1662C2×C4—1461no—
1663C2×C4—1461no—
1664C2×C4—1462no—
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—41no—
1696C22—41no—
1697C22—41no—
1698C22—84no—
1699C22—84no—
1700C22—2921no—
1701C22—2921no—
1702C22—2921no—
1703C22—5844no—
1704C22—1461no—
1705C22—1461no—
1706C22—1461no—
1707C22C22×D4×D7311yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—2921no—
1717C4—2921no—
1718C4—2921no—
1719C4—2921no—
1720C4—2921no—
1721C4—2921no—
1722C4—2921no—
1723C4—732no—
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—81no—
1738C2—2921no—
1739C2—5841no—
1740C2D4×#1192402711yescharacteristic
1741C2#575×D7311yescharacteristic
1742C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3273C2
socleC22×C73C23×D4
hypercenter#3273D73
hypocenterC73#61464
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #22623536C2semidirect
2. #22623482C2semidirect
3. #22622924C2semidirect
4. #22622798C2semidirect
5. #22622586C2semidirect
6. #22622575C2semidirect
7. #22622552C2semidirect
8. #22622497C2semidirect
9. #22622493C2semidirect
10. #22622240C2semidirect
11. #22622166C2semidirect
12. #22622147C2semidirect
13. #22622140C2semidirect
14. #22622136C2semidirect
15. #22622132C2semidirect
16. #22621536C2semidirect
17. #22621525C2semidirect
18. #22620657C2semidirect
19. #22620653C2semidirect
20. #22620644C2semidirect
21. #22620086C2semidirect
22. #22620068C2semidirect
23. #22620064C2semidirect
24. #22620041C2semidirect
25. #22620037C2semidirect
26. #22620017C2semidirect
27. #22618947C2semidirect
28. AGL(1,ℤ/8)×Dic73C2semidirect
29. AGL(1,ℤ/8)×Dic73C2semidirect
30. C4×#14556615C2semidirect
31. C73×#3273C2semidirect
33. #17989319C22semidirect
34. #17989306C22semidirect
36. #17989296C22semidirect
37. #17989296C22semidirect
38. #17989295C22semidirect
43. #17989279C22semidirect
44. #17989277C22semidirect
51. #17989231C22semidirect
54. D4×C22⋊D73C22semidirect
55. #17989139C22semidirect
57. #17989123C22semidirect
59. #17989118C22semidirect
60. #17989116C22semidirect
61. #17989116C22semidirect
68. #41×Dic73C22semidirect
70. C4×#11924027C22semidirect
71. C2×D4×Dic73C22semidirect
72. C2×D4×Dic73C22semidirect
74. C4×D4×D73C22semidirect
76. #17988991C22semidirect
77. #17988989C22semidirect
78. #17988988C22semidirect
79. #17988968C22semidirect
80. #17988958C22semidirect
81. #17988943C22semidirect
82. #17988941C22semidirect
83. #17988941C22semidirect
84. #17988940C22semidirect
85. #17988936C22semidirect
86. #17988932C22semidirect
87. #17988929C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988925C22semidirect
91. #17988918C22semidirect
92. #17988916C22semidirect
93. #17988912C22semidirect
94. #17988909C22semidirect
95. #17988906C22semidirect
96. #17988903C22semidirect
97. #17988899C22semidirect
98. #17988898C22semidirect
99. #17988896C22semidirect
100. #17988895C22semidirect
101. #17988889C22semidirect
102. #17988889C22semidirect
103. #17988889C22semidirect
104. #17988888C22semidirect
105. #17988887C22semidirect
106. #17988887C22semidirect
107. #17988880C22semidirect
108. #17988875C22semidirect
109. #17988875C22semidirect
110. #17988875C22semidirect
111. #17988843C22semidirect
112. #17988842C22semidirect
115. #17988835C22semidirect
116. #17988833C22semidirect
117. #17988833C22semidirect
118. #17988831C22semidirect
119. #17988830C22semidirect
120. #17988830C22semidirect
121. #17988811C22semidirect
122. #17988806C22semidirect
123. #17988804C22semidirect
125. #17988800C22semidirect
126. #17988799C22semidirect
127. #17988795C22semidirect
128. #17988790C22semidirect
132. #17988746C22semidirect
133. #17988738C22semidirect
134. #17988736C22semidirect
137. #17988721C22semidirect
139. C8×Dic146C22semidirect
140. #17988711C22semidirect
143. #17988699C22semidirect
144. #17988699C22semidirect
145. #17988696C22semidirect
146. #17988696C22semidirect
147. #17988694C22semidirect
148. #17988691C22semidirect
149. #17988690C22semidirect
150. #17988688C22semidirect
151. #17988688C22semidirect
152. #17988688C22semidirect
153. #17988688C22semidirect
154. #17988686C22semidirect
155. #17988684C22semidirect
156. #17988684C22semidirect
157. C4×#11924017C22semidirect
158. SD16×Dic73C22semidirect
159. SD16×Dic73C22semidirect
160. SD16×Dic73C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924016C22semidirect
166. D8×Dic73C22semidirect
167. C4×#11924013C22semidirect
168. #17988665C22semidirect
169. #17988663C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. #17988643C22semidirect
174. #17988641C22semidirect
175. #17988641C22semidirect
176. #17988629C22semidirect
177. #17988629C22semidirect
178. #17988628C22semidirect
179. #17988592C22semidirect
180. #17988592C22semidirect
181. #17988590C22semidirect
183. #17988588C22semidirect
184. #17988585C22semidirect
185. M16×Dic73C22semidirect
186. M16×Dic73C22semidirect
187. C4×#11924011C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #468×C73C22semidirect
194. #468×C73C22semidirect
196. #463×C73C22semidirect
198. #452×C73C22semidirect
200. #447×C73C22semidirect
202. #436×C73C22semidirect
667. D8×C73#41semidirect
888. #3273D73semidirect
903. C73#61464semidirect
929. #546C2×D73semidirect
956. #495C2×D73semidirect
998. #468C2×D73semidirect
999. #468C2×D73semidirect
1007. #463C2×D73semidirect
1015. #452C2×D73semidirect
1023. #447C2×D73semidirect
1059. #436C2×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
#226234822
#226229242
#226227982
#226225862
#226225752
#226225522
#226224972
#226224932
#226222402
#226221662
#226221472
#226221402
#226221362
#226221322
#226215362
#226215252
#226206572
#226206532
#226206442
#226200862
#226200682
#226200642
#226200412
#226200372
#226200172
#226189472
AGL(1,ℤ/8)×Dic732
C4×#145566152
C73×#32732
#6146473