Finite Group Databasebeta

← #33979258

Subgroups — #33979258

Order 18688.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624262C211yesmaximal, characteristic, complemented
2#22623860C211yesmaximal, characteristic, complemented
3#22623016C211yesmaximal, characteristic, complemented
4#22622968C211yesmaximal, characteristic, complemented
5#22622677C211yesmaximal, characteristic, complemented
6#22622639C211yesmaximal, characteristic, complemented
7#22622072C211yesmaximal, characteristic, complemented
8#22621945C211yesmaximal, characteristic, complemented
9#22621939C211yesmaximal, characteristic, complemented
10#22621887C211yesmaximal, characteristic, complemented
11#22621761C211yesmaximal, characteristic, complemented
12#22621737C211yesmaximal, characteristic, complemented
13#22621614C211yesmaximal, characteristic, complemented
14D8×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621467C211yesmaximal, characteristic, complemented
16#22621409C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621367C211yesmaximal, characteristic, complemented
19#22621345C211yesmaximal, characteristic, complemented
20#22621280C211yesmaximal, characteristic, complemented
21#22621029C211yesmaximal, characteristic, complemented
22#22620977C211yesmaximal, characteristic, complemented
23#22620945C211yesmaximal, characteristic, complemented
24#22620168C211yesmaximal, characteristic, complemented
25#22620123C211yesmaximal, characteristic, complemented
26#22620067C211yesmaximal, characteristic, complemented
27#22619474C211yesmaximal, characteristic, complemented
28#22619431C211yesmaximal, characteristic, complemented
29#459×D73C211yesmaximal, characteristic, complemented
30#22619066C211yesmaximal, characteristic, complemented
31C73×#3264C211yesmaximal, characteristic, complemented
32C2×#14556617C2211yescharacteristic, complemented
33C2×#14556611C2211yescharacteristic, complemented
34C2×D8×D73C2211yescharacteristic, complemented
35C2×D8×D73C2211yescharacteristic, complemented
36#17989326—21no—
37#17989326—21no—
38#17989323C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic, complemented
41#17989283C2211yescharacteristic, complemented
42#17989280—21no—
43#17989271C2211yescharacteristic, complemented
44#17989263—21no—
45#17989260—21no—
46#17989258C2211yescharacteristic, complemented
47#17989258C2211yescharacteristic, complemented
48#17989237C2211yescharacteristic, complemented
49#17989234—21no—
50#17989234C2211yescharacteristic
51#17989234C2211yescharacteristic, complemented
52#17989225C2211yescharacteristic, complemented
53#17989224—21no—
54D4×C22⋊D73—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic, complemented
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989210C2211yescharacteristic, complemented
59#17989190—21no—
60#17989190C2211yescharacteristic, complemented
61#17989190C2211yescharacteristic, complemented
62#17989190C2211yescharacteristic, complemented
63#17989181—21no—
64#17989172—21no—
65#17989154—21no—
66#17989154C2211yescharacteristic, complemented
67#17989154C2211yescharacteristic, complemented
68#17989147—21no—
69#17989147—21no—
70#127×D73C2211yescharacteristic, complemented
71#17989119C2211yescharacteristic
72#17989119C2211yescharacteristic, complemented
73#17989116C2211yescharacteristic, complemented
74#17989097—21no—
75C2×#14556573—21no—
76#17989070C2211yescharacteristic, complemented
77#17989062C2211yescharacteristic, complemented
78C4×D4×D73C2211yescharacteristic, complemented
79#17988977C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988940C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988912C2211yescharacteristic, complemented
92#17988908C2211yescharacteristic, complemented
93#17988903C2211yescharacteristic, complemented
94#17988901C2211yescharacteristic, complemented
95#17988899C2211yescharacteristic, complemented
96#17988896C2211yescharacteristic, complemented
97#17988895C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic, complemented
99#17988889C2211yescharacteristic, complemented
100#17988887C2211yescharacteristic, complemented
101#17988886C2211yescharacteristic, complemented
102#17988886C2211yescharacteristic, complemented
103#17988885C2211yescharacteristic, complemented
104#17988876C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988820C2211yescharacteristic
114#17988815C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988807C2211yescharacteristic, complemented
117#17988807C2211yescharacteristic, complemented
118#17988806C2211yescharacteristic, complemented
119#17988805C2211yescharacteristic, complemented
120#17988804C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988783C2211yescharacteristic, complemented
131#17988782C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988780C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988779C2211yescharacteristic, complemented
144#17988747C2211yescharacteristic, complemented
145#17988739C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988734C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988730C2211yescharacteristic, complemented
152#17988721C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988696C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988672C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988645C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988613C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988592C2211yescharacteristic, complemented
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185C2×#14556512C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×D8×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#469×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924028—21no—
204C2×#11924028C2311yescharacteristic
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C22×C22⋊D73—21no—
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73—21no—
211C2×D4×D73—21no—
212C2×D4×D73C2311yescharacteristic
213C2×D4×D73C2311yescharacteristic
214C2×D4×D73C2311yescharacteristic
215C22×C4×D73—21no—
216#14556617—42no—
217#14556611—42no—
218C2×#11924018C2311yescharacteristic
219C2×#11924017C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924015C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×D584C2311yescharacteristic
225C2×D584C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233D8×D73—42no—
234D8×D73—42no—
235C2×#11924012C2311yescharacteristic
236C22×#10596831C2311yescharacteristic
237C2×C8×D73C2311yescharacteristic
238C2×C8×D73C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556588C2311yescharacteristic
241#14556587—21no—
242#14556587—21no—
243#14556587—21no—
244#14556587C2311yescharacteristic
245#14556587C2311yescharacteristic
246#14556587C2311yescharacteristic
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556586—21no—
250#14556586—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584D411yescharacteristic
255#14556584D411yescharacteristic
256#14556583C2311yescharacteristic
257#14556582D411yescharacteristic
258#14556582C2311yescharacteristic
259#14556582C2311yescharacteristic
260#14556581—21no—
261#14556580C2311yescharacteristic
262#14556578—21no—
263#14556578D411yescharacteristic
264#14556578C2311yescharacteristic
265#14556578C2311yescharacteristic
266#14556578C2311yescharacteristic
267#14556577—21no—
268#14556577—21no—
269#14556575—21no—
270#14556575—21no—
271#14556575—21no—
272#14556575—21no—
273#14556574—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573D411yescharacteristic
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556571—21no—
292#14556571D411yescharacteristic
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567C2311yescharacteristic
299#14556565—21no—
300#14556565C2311yescharacteristic
301#14556565C2311yescharacteristic
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556562—21no—
317#14556562—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562D411yescharacteristic
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556560—21no—
329#14556560—21no—
330#14556560—21no—
331#14556560—21no—
332#14556560—21no—
333#14556560—21no—
334#14556560—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341Q8×Dic73C2311yescharacteristic
342Q8×Dic73C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345C4×D292C2311yescharacteristic
346D4×Dic73—21no—
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358#14556553—21no—
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73C2311yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556550—21no—
371#14556550—21no—
372#14556550C2311yescharacteristic
373#14556550C2311yescharacteristic
374#14556550C2311yescharacteristic
375#14556549—21no—
376#14556547—21no—
377C2×C4⋊Dic73—21no—
378C2×C4⋊Dic73C2311yescharacteristic
379C2×#11924007—21no—
380C4⋊C4×D73C2311yescharacteristic
381C2×C22⋊Dic73—21no—
382C2×C22⋊Dic73—21no—
383C2×#11924005—21no—
384C22⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C22⋊C4×D73—21no—
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C22×D4×C73—21no—
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444AGL(1,ℤ/8)×C73—42no—
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×D8×C73—42no—
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456C22×C8×C73C2311yescharacteristic
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468#120×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
472C2×C22⋊C4×C73—21no—
473#106×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486C23×D73—21no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—82no—
492#11924027—82no—
493C2×Dic146—21no—
494C2×Dic146C2×D411yescharacteristic
495C2×Dic146C2411yescharacteristic
496C2×D292—21no—
497C2×D292—21no—
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×D292C2411yescharacteristic
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—82no—
523C2×C22⋊D73—82no—
524C2×C22⋊D73—82no—
525C2×C22⋊D73C2×D411yescharacteristic
526C2×C22⋊D73C2×D411yescharacteristic
527D4×D73—22no—
528D4×D73—41no—
529D4×D73—41no—
530D4×D73—41no—
531D4×D73—41no—
532D4×D73—41no—
533D4×D73—82no—
534D4×D73—82no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—21no—
542C22×Dic73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—82no—
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2411yescharacteristic
554#11924018—41no—
555#11924017—41no—
556#11924016—22no—
557#11924016—41no—
558#11924015—41no—
559#11924015—41no—
560D584—41no—
561D584—41no—
562#11924013—22no—
563#11924013—22no—
564#11924013—41no—
565#11924013—41no—
566#11924013—41no—
567#11924013—41no—
568#11924013—41no—
569#11924012—41no—
570C2×#10596831—41no—
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C8×D73—41no—
576C8×D73—41no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73C2×D411yescharacteristic
584C4⋊Dic73C2×D411yescharacteristic
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2×D411yescharacteristic
587C4⋊Dic73C2×D411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590C4⋊Dic73C2411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73C2×D411yescharacteristic
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625C22⋊Dic73C2×D411yescharacteristic
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C24×C73—21no—
650C24×C73—21no—
651C24×C73—21no—
652#41×C73—22no—
653#41×C73—41no—
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—41no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73—41no—
670C2×D4×C73—82no—
671C2×D4×C73C2×D411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C2×D4×C73C2411yescharacteristic
674C2×D4×C73C2411yescharacteristic
675C2×D4×C73C2411yescharacteristic
676C2×D4×C73C2411yescharacteristic
677C22×C4×C73—21no—
678C22×C4×C73—21no—
679C22×C4×C73—21no—
680C22×C4×C73C2411yescharacteristic
681C22×C4×C73C2411yescharacteristic
682SD16×C73—41no—
683SD16×C73—41no—
684SD16×C73—41no—
685D8×C73—22no—
686D8×C73—22no—
687D8×C73—22no—
688D8×C73—41no—
689D8×C73—41no—
690D8×C73—41no—
691M16×C73—41no—
692C2×C8×C73—41no—
693C2×C8×C73C2411yescharacteristic
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C4⋊C4×C73—21no—
698C4⋊C4×C73C2×D411yescharacteristic
699C4⋊C4×C73C2411yescharacteristic
700C4⋊C4×C73C2411yescharacteristic
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73C2×D411yescharacteristic
710C22⋊C4×C73C2×D411yescharacteristic
711C42×C73C2411yescharacteristic
712C23×C73—21no—
713C23×C73—21no—
714C23×C73—21no—
715C23×C73—21no—
716C23×C73—21no—
717C23×C73—42no—
718C23×C73—81no—
719C23×C73—81no—
720C23×C73—81no—
721C23×C73—81no—
722C23×C73—81no—
723C23×C73—81no—
724C23×C73—81no—
725C23×C73—81no—
726C23×C73C22×D411yescharacteristic
727C23×C73C22×D411yescharacteristic
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—21no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—81no—
736C22×D73—81no—
737C22×D73—81no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73C22×D411yescharacteristic
741Q8×C73—21no—
742Q8×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—21no—
746D4×C73—21no—
747D4×C73—21no—
748D4×C73—21no—
749D4×C73—21no—
750D4×C73—21no—
751D4×C73—21no—
752D4×C73—41no—
753D4×C73—42no—
754D4×C73—42no—
755D4×C73—42no—
756D4×C73—81no—
757D4×C73—81no—
758D4×C73—81no—
759D4×C73—81no—
760D4×C73—81no—
761D4×C73—81no—
762D4×C73H(5,𝔽2)12yes—
763C2×C4×C73—21no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—42no—
771C2×C4×C73—42no—
772C2×C4×C73—81no—
773C2×C4×C73C22×D411yescharacteristic
774C2×C4×C73C22×D411yescharacteristic
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C2511yescharacteristic
778C22⋊D73—22no—
779C22⋊D73—22no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—42no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C22⋊D73—81no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—81no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73—81no—
810C2×Dic73—81no—
811C2×Dic73—81no—
812C2×Dic73—81no—
813C2×Dic73—81no—
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—21no—
822D292—21no—
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—42no—
828D292—81no—
829C4×D73—22no—
830C4×D73—21no—
831C4×D73—21no—
832C4×D73—41no—
833C4×D73—42no—
834C4×D73—81no—
835C4×D73—81no—
836C4×D73—81no—
837C4×D73—81no—
838C4×D73—81no—
839C4×D73—81no—
840Dic146—21no—
841Dic146—21no—
842Dic146—41no—
843Dic146—81no—
844C8×C73—21no—
845C8×C73—21no—
846C8×C73—21no—
847C8×C73—21no—
848#10596831—21no—
849#10596831—21no—
850#10596831—21no—
851#10596831—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—22no—
855C22×C73—21no—
856C22×C73—21no—
857C22×C73—21no—
858C22×C73—21no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—162no—
874C22×C73—162no—
875C22×C73—162no—
876C22×C73C23×D411yescharacteristic
877C2×D73—21no—
878C2×D73—21no—
879C2×D73—41no—
880C2×D73—41no—
881C2×D73—41no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—84no—
889C2×D73—162no—
890C2×D73—162no—
891C2×D73#57612yes—
892C4×C73—21no—
893C4×C73—21no—
894C4×C73—21no—
895C4×C73—21no—
896C4×C73—41no—
897C4×C73—41no—
898C4×C73—41no—
899C4×C73C2×H(5,𝔽2)11yescharacteristic
900C4×C73#58511yescharacteristic
901Dic73—21no—
902Dic73—21no—
903Dic73—21no—
904Dic73—21no—
905Dic73—21no—
906Dic73—21no—
907Dic73—21no—
908Dic73—41no—
909Dic73—41no—
910Dic73—41no—
911Dic73—41no—
912Dic73—41no—
913#62007—731nomaximal, Sylow
914C2×C73—42no—
915C2×C73—41no—
916C2×C73—41no—
917C2×C73—81no—
918C2×C73—81no—
919C2×C73—81no—
920C2×C73—81no—
921C2×C73#348811yescharacteristic
922C2×C73C2×#57611yescharacteristic
923C2×C73#358511yescharacteristic
924D73—22no—
925D73—81no—
926D73—81no—
927D73—81no—
928#3543—731no—
929#3513—731no—
930#3403—731no—
931#3399—731no—
932#3370—731no—
933#3366—731no—
934#3318—731no—
935#3310—731no—
936#3309—731no—
937#3306—731no—
938#3296—731no—
939#3294—731no—
940#3280—731no—
941D4×D8—731no—
942#3268—731no—
943#3264—731no—
944#3264—731no—
945#3264D7311yescharacteristic, complemented
946#3259—731no—
947#3257—731no—
948#3250—731no—
949#3224—731no—
950#3220—731no—
951#3217—731no—
952#3122—731no—
953#3119—731no—
954#3114—731no—
955#3045—731no—
956#3041—731no—
957C2×#459—731no—
958#2992—731no—
959C73#6200711yescharacteristic, complemented, Sylow
960C2×AGL(1,ℤ/8)—731no—
961C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
962C2×#135—731no—
963C22×D8—731no—
964C22×D8—731no—
965C22×D8C2×D7311yescharacteristic, complemented
966#560—1461no—
967#560—1461no—
968#559—731no—
969#559—731no—
970#554—731no—
971#553—731no—
972#553—1461no—
973#552—731no—
974#551—1461no—
975#551—1461no—
976#550—731no—
977#550—731no—
978#547—731no—
979#546—731no—
980#546—731no—
981#546—731no—
982#546—1461no—
983#546—1461no—
984#546C2×D7311yescharacteristic, complemented
985D42—731no—
986D42—731no—
987D42—731no—
988D42—1461no—
989D42C2×D7311yescharacteristic, complemented
990#542—731no—
991#540—731no—
992#540—731no—
993#540—731no—
994#540—1461no—
995#539—1461no—
996#538—1461no—
997#535—731no—
998#535—731no—
999#535—1461no—
1000#534—1461no—
1001#534—1461no—
1002C2×#127—731no—
1003#529—731no—
1004#529—731no—
1005#529—731no—
1006#525—1461no—
1007C2×#123—1461no—
1008#520—731no—
1009#518—731no—
1010C2×C4×D4—731no—
1011#496—731no—
1012#496—731no—
1013#496—731no—
1014#496C2×D7311yescharacteristic, complemented
1015#495—731no—
1016#493—731no—
1017#490—731no—
1018#490—731no—
1019#490—731no—
1020#489—731no—
1021#488—731no—
1022#486—731no—
1023#483—731no—
1024#482—731no—
1025#482—731no—
1026#481—731no—
1027#480—731no—
1028#480—731no—
1029#479—731no—
1030#479—731no—
1031#478—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#478—731no—
1037#476—731no—
1038#474—731no—
1039#469—731no—
1040#469—731no—
1041#469C2×D7311yescharacteristic, complemented
1042#468—731no—
1043#467—731no—
1044#466—731no—
1045#466—731no—
1046#466—731no—
1047#466—731no—
1048#465—731no—
1049#465—731no—
1050#465C2×D7311yescharacteristic, complemented
1051#464—731no—
1052#464—731no—
1053#464—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463C2×D7311yescharacteristic, complemented
1063#460—731no—
1064#460—731no—
1065#460—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#459—731no—
1072#459—731no—
1073#459—731no—
1074#459—731no—
1075#459—731no—
1076#459—731no—
1077#459—731no—
1078#459—731no—
1079#459—731no—
1080#459C2×D7311yescharacteristic
1081#452—731no—
1082#450—731no—
1083#450—731no—
1084#450—731no—
1085#450C2×D7311yescharacteristic, complemented
1086#449—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449C2×D7311yescharacteristic, complemented
1091#447—731no—
1092#447—731no—
1093#447—731no—
1094#447—731no—
1095#447—731no—
1096#447—731no—
1097#447C2×D7311yescharacteristic, complemented
1098#447C2×D7311yescharacteristic, complemented
1099#446—731no—
1100#446—731no—
1101#442—731no—
1102#442—731no—
1103#442—731no—
1104#442—731no—
1105#442C2×D7311yescharacteristic, complemented
1106#440—731no—
1107#440—731no—
1108#440—731no—
1109C4×SD16—731no—
1110C4×D8—731no—
1111C4×D8—731no—
1112C4×D8—731no—
1113#435—731no—
1114#435—731no—
1115#435—731no—
1116#435C2×D7311yescharacteristic, complemented
1117C8×D4—731no—
1118C8×D4—731no—
1119#433—731no—
1120#433—731no—
1121#432—731no—
1122#424—731no—
1123#424—731no—
1124C2×C4⋊C8—731no—
1125#418—731no—
1126#417—731no—
1127#416—731no—
1128C2×#102—731no—
1129C2×#102—731no—
1130C2×#102—731no—
1131C2×#41—731no—
1132C2×#41—731no—
1133C2×#41—1461no—
1134C2×#41—1461no—
1135C2×#41C22×D7311yescharacteristic
1136C22×D4—21no—
1137C22×D4—731no—
1138C22×D4—731no—
1139C22×D4—731no—
1140C22×D4—1461no—
1141C22×D4—1461no—
1142C22×D4—1461no—
1143C22×D4—1461no—
1144C22×D4—1461no—
1145C22×D4C22×D7311yescharacteristic
1146C22×D4C22×D7311yescharacteristic
1147C22×D4C22×D7311yescharacteristic
1148C23×C4—1461no—
1149AGL(1,ℤ/8)—42no—
1150AGL(1,ℤ/8)—2922no—
1151#135—2922no—
1152C2×Q16—731no—
1153C2×SD16—731no—
1154C2×SD16—731no—
1155C2×SD16—731no—
1156C2×SD16—731no—
1157C2×SD16—731no—
1158C2×SD16C22×D7311yescharacteristic
1159C2×SD16C22×D7311yescharacteristic
1160C2×SD16C22×D7311yescharacteristic
1161C2×D8—42no—
1162C2×D8—2922no—
1163C2×D8—2922no—
1164C2×D8—731no—
1165C2×D8—731no—
1166C2×D8—731no—
1167C2×D8—731no—
1168C2×D8—731no—
1169C2×D8—731no—
1170C2×D8—731no—
1171C2×D8—731no—
1172C2×D8—731no—
1173C2×D8C22×D7311yescharacteristic
1174C2×D8C22×D7311yescharacteristic
1175C2×D8C22×D7311yescharacteristic
1176C2×D8C22×D7311yescharacteristic
1177C2×D8C22×D7311yescharacteristic
1178C2×D8C22×D7311yescharacteristic
1179C2×M16—731no—
1180C2×M16C22×D7311yescharacteristic
1181C22×C8—731no—
1182C22×C8—731no—
1183C22×C8—731no—
1184C22×C8C22×D7311yescharacteristic
1185C4⋊Q8—731no—
1186#127—731no—
1187#127—731no—
1188#127—731no—
1189#127—731no—
1190#127—731no—
1191#127—731no—
1192#127—1461no—
1193#127—1461no—
1194#127—1461no—
1195#127C22×D7311yescharacteristic
1196#126—731no—
1197#126—731no—
1198#126—1461no—
1199#126—1461no—
1200#126—1461no—
1201#126—1461no—
1202#126—1461no—
1203#125—731no—
1204#125—731no—
1205#125—731no—
1206#125—731no—
1207#125—1461no—
1208#124—731no—
1209#124—731no—
1210#124—731no—
1211#124—731no—
1212#124—731no—
1213#124—1461no—
1214#124—1461no—
1215#124—1461no—
1216#124C22×D7311yescharacteristic
1217#123—21no—
1218#123—731no—
1219#123—731no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223#123—1461no—
1224#123—1461no—
1225#123—1461no—
1226#123—1461no—
1227#123—1461no—
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240C22⋊Q8—731no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—1461no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8C22×D7311yescharacteristic
1249#121—21no—
1250#121—21no—
1251#121—731no—
1252#121—731no—
1253#121—731no—
1254#121—731no—
1255#121—731no—
1256#121—731no—
1257#121—731no—
1258#121—1461no—
1259#121—1461no—
1260#121—1461no—
1261#121—1461no—
1262#121—1461no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121C22×D7311yescharacteristic
1281#121C22×D7311yescharacteristic
1282#121C22×D7311yescharacteristic
1283#120—21no—
1284#120—21no—
1285#120—21no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290#120—1461no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299C4×Q8—731no—
1300C4×Q8—731no—
1301C4×Q8—731no—
1302C4×Q8—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—731no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4C22×D7311yescharacteristic
1329C4×D4C22×D7311yescharacteristic
1330C4×D4C22×D7311yescharacteristic
1331#117—731no—
1332#117—731no—
1333#117—731no—
1334#117—1461no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338C2×C4⋊C4—731no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—1461no—
1341C2×C4⋊C4—1461no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—1461no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C42—731no—
1350#107—731no—
1351#107—731no—
1352#107—731no—
1353#107—731no—
1354#106—731no—
1355#106—731no—
1356#106—731no—
1357#106C22×D7311yescharacteristic
1358C4⋊C8—731no—
1359C4⋊C8—731no—
1360C4⋊C8—731no—
1361C4⋊C8—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8C22×D7311yescharacteristic
1368#103—731no—
1369#103—731no—
1370#103—731no—
1371#103—731no—
1372#103—731no—
1373#103C22×D7311yescharacteristic
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102—731no—
1380#102—731no—
1381#102—731no—
1382#102—731no—
1383#102—731no—
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102C22×D7311yescharacteristic
1396#102C22×D7311yescharacteristic
1397#102C22×D7311yescharacteristic
1398#102C22×D7311yescharacteristic
1399#102C22×D7311yescharacteristic
1400C22⋊C8—731no—
1401C22⋊C8—731no—
1402C22⋊C8—731no—
1403C22⋊C8—731no—
1404C22⋊C8C22×D7311yescharacteristic
1405C22⋊C8C22×D7311yescharacteristic
1406#97—731no—
1407#97—731no—
1408#97—731no—
1409#97C22×D7311yescharacteristic
1410C4×C8—731no—
1411C4×C8—731no—
1412C24—21no—
1413C24—21no—
1414C24—21no—
1415C24—1461no—
1416C24—1461no—
1417C24—1461no—
1418#41—22no—
1419#41—41no—
1420#41—2921no—
1421#41—2921no—
1422#41—2921no—
1423#41—2921no—
1424#41—5842no—
1425#41—5842no—
1426C2×Q8—731no—
1427C2×Q8—731no—
1428C2×Q8—1461no—
1429C2×Q8C23×D7311yescharacteristic
1430C2×D4—22no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—21no—
1434C2×D4—21no—
1435C2×D4—21no—
1436C2×D4—21no—
1437C2×D4—21no—
1438C2×D4—21no—
1439C2×D4—21no—
1440C2×D4—41no—
1441C2×D4—41no—
1442C2×D4—41no—
1443C2×D4—41no—
1444C2×D4—41no—
1445C2×D4—82no—
1446C2×D4—2921no—
1447C2×D4—2921no—
1448C2×D4—2921no—
1449C2×D4—2921no—
1450C2×D4—2921no—
1451C2×D4—5842no—
1452C2×D4—5842no—
1453C2×D4—5842no—
1454C2×D4—5842no—
1455C2×D4—5842no—
1456C2×D4—731no—
1457C2×D4—731no—
1458C2×D4—731no—
1459C2×D4—731no—
1460C2×D4—731no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1462no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1461no—
1483C2×D4—1461no—
1484C2×D4—1461no—
1485C2×D4D4×D7311yescharacteristic
1486C2×D4C23×D7311yescharacteristic
1487C2×D4C23×D7311yescharacteristic
1488C2×D4C23×D7311yescharacteristic
1489C2×D4C23×D7311yescharacteristic
1490C2×D4C23×D7311yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—5842no—
1495C22×C4—731no—
1496C22×C4—731no—
1497C22×C4—731no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4—1461no—
1504C22×C4—1461no—
1505C22×C4—1461no—
1506C22×C4—1461no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4C23×D7311yescharacteristic
1514C22×C4C23×D7311yescharacteristic
1515Q16—2921no—
1516SD16—41no—
1517SD16—41no—
1518SD16—41no—
1519SD16—2921no—
1520SD16—2921no—
1521SD16—2921no—
1522SD16—2921no—
1523SD16—1462no—
1524D8—22no—
1525D8—22no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529D8—41no—
1530D8—2921no—
1531D8—2921no—
1532D8—2921no—
1533D8—2921no—
1534D8—2921no—
1535D8—2921no—
1536D8—2921no—
1537D8—1462no—
1538D8—1462no—
1539M16—41no—
1540M16—2921no—
1541C2×C8—41no—
1542C2×C8—2921no—
1543C2×C8—2921no—
1544C2×C8—2921no—
1545C2×C8—731no—
1546C2×C8—731no—
1547C2×C8—731no—
1548C2×C8—731no—
1549C2×C8C23×D7311yescharacteristic
1550C2×C8C23×D7311yescharacteristic
1551C2×C8C23×D7311yescharacteristic
1552C2×C8C23×D7311yescharacteristic
1553C4⋊C4—21no—
1554C4⋊C4—731no—
1555C4⋊C4—731no—
1556C4⋊C4—731no—
1557C4⋊C4—731no—
1558C4⋊C4—731no—
1559C4⋊C4—731no—
1560C4⋊C4—731no—
1561C4⋊C4—731no—
1562C4⋊C4—731no—
1563C4⋊C4—731no—
1564C4⋊C4—731no—
1565C4⋊C4—731no—
1566C4⋊C4—731no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4—1461no—
1570C4⋊C4—1461no—
1571C4⋊C4—1461no—
1572C4⋊C4—1461no—
1573C4⋊C4—1461no—
1574C4⋊C4—1461no—
1575C4⋊C4—1461no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4D4×D7311yescharacteristic
1582C4⋊C4C23×D7311yescharacteristic
1583C4⋊C4C23×D7311yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—731no—
1593C22⋊C4—731no—
1594C22⋊C4—731no—
1595C22⋊C4—731no—
1596C22⋊C4—731no—
1597C22⋊C4—731no—
1598C22⋊C4—731no—
1599C22⋊C4—731no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4D4×D7311yescharacteristic
1629C22⋊C4D4×D7311yescharacteristic
1630C42—731no—
1631C42—731no—
1632C42—731no—
1633C42—731no—
1634C42—731no—
1635C42—1461no—
1636C42—1461no—
1637C42—1461no—
1638C42—1461no—
1639C42C23×D7311yescharacteristic
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—42no—
1646C23—81no—
1647C23—81no—
1648C23—81no—
1649C23—81no—
1650C23—81no—
1651C23—81no—
1652C23—81no—
1653C23—81no—
1654C23—2922no—
1655C23—2922no—
1656C23—2922no—
1657C23—2922no—
1658C23—5841no—
1659C23—5841no—
1660C23—5841no—
1661C23—5841no—
1662C23—5841no—
1663C23—731no—
1664C23—1461no—
1665C23—1461no—
1666C23—1461no—
1667C23C2×D4×D7311yescharacteristic
1668C23C2×D4×D7311yescharacteristic
1669Q8—21no—
1670Q8—21no—
1671Q8—2921no—
1672Q8—5841no—
1673Q8—1461no—
1674Q8—1461no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—41no—
1685D4—42no—
1686D4—42no—
1687D4—42no—
1688D4—81no—
1689D4—81no—
1690D4—81no—
1691D4—81no—
1692D4—81no—
1693D4—81no—
1694D4—2922no—
1695D4—2922no—
1696D4—2922no—
1697D4—2922no—
1698D4—5841no—
1699D4—5841no—
1700D4—5841no—
1701D4—5841no—
1702D4—5841no—
1703D4—5841no—
1704D4—5841no—
1705D4—5841no—
1706D4—5841no—
1707D4—5841no—
1708D4—5841no—
1709D4—5841no—
1710D4—5841no—
1711D4—5841no—
1712D4—5841no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—1462no—
1718D4—1462no—
1719D4—1461no—
1720D4—1461no—
1721D4—1461no—
1722D4—1461no—
1723D4—1461no—
1724D4—1461no—
1725D4#1455663612yes—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—42no—
1734C2×C4—42no—
1735C2×C4—81no—
1736C2×C4—2921no—
1737C2×C4—2922no—
1738C2×C4—5841no—
1739C2×C4—5841no—
1740C2×C4—5841no—
1741C2×C4—5841no—
1742C2×C4—5841no—
1743C2×C4—5841no—
1744C2×C4—5841no—
1745C2×C4—5841no—
1746C2×C4—5841no—
1747C2×C4—5841no—
1748C2×C4—5841no—
1749C2×C4—5841no—
1750C2×C4—5841no—
1751C2×C4—5841no—
1752C2×C4—731no—
1753C2×C4—731no—
1754C2×C4—731no—
1755C2×C4—731no—
1756C2×C4—731no—
1757C2×C4—731no—
1758C2×C4—731no—
1759C2×C4—1462no—
1760C2×C4—1461no—
1761C2×C4—1461no—
1762C2×C4—1461no—
1763C2×C4—1461no—
1764C2×C4—1461no—
1765C2×C4—1461no—
1766C2×C4—1461no—
1767C2×C4C2×D4×D7311yescharacteristic
1768C2×C4C2×D4×D7311yescharacteristic
1769C2×C4C2×D4×D7311yescharacteristic
1770C2×C4C2×D4×D7311yescharacteristic
1771C2×C4C24×D7311yescharacteristic
1772C8—21no—
1773C8—21no—
1774C8—21no—
1775C8—21no—
1776C8—1461no—
1777C8—1461no—
1778C8—1461no—
1779C8—1461no—
1780C22—21no—
1781C22—21no—
1782C22—22no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—162no—
1802C22—162no—
1803C22—162no—
1804C22—2921no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—5844no—
1814C22—732no—
1815C22—11682no—
1816C22—11682no—
1817C22—1461no—
1818C22—1461no—
1819C22C22×D4×D7311yescharacteristic
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—2921no—
1828C4—2921no—
1829C4—2921no—
1830C4—2921no—
1831C4—2921no—
1832C4—1461no—
1833C4—1461no—
1834C4—1461no—
1835C4—1461no—
1836C4—1461no—
1837C4—1461no—
1838C4—1461no—
1839C4C2×#1455663611yescharacteristic
1840C4#1798942211yescharacteristic
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2—81no—
1847C2—81no—
1848C2—5841no—
1849C2—5841no—
1850C2—5841no—
1851C2—1462no—
1852C2#2262359111yescharacteristic
1853C2#576×D7311yescharacteristic
1854C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3264C2
socleC22×C73C23×D4
hypercenter#3264D73
hypocenterC73#62007
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22624262C2semidirect
2. #22623860C2semidirect
3. #22623016C2semidirect
4. #22622968C2semidirect
5. #22622677C2semidirect
6. #22622639C2semidirect
7. #22622072C2semidirect
8. #22621945C2semidirect
9. #22621939C2semidirect
10. #22621887C2semidirect
11. #22621761C2semidirect
12. #22621737C2semidirect
13. #22621614C2semidirect
14. D8×C22⋊D73C2semidirect
15. #22621467C2semidirect
16. #22621409C2semidirect
17. #22621405C2semidirect
18. #22621367C2semidirect
19. #22621345C2semidirect
20. #22621280C2semidirect
21. #22621029C2semidirect
22. #22620977C2semidirect
23. #22620945C2semidirect
24. #22620168C2semidirect
25. #22620123C2semidirect
26. #22620067C2semidirect
27. #22619474C2semidirect
28. #22619431C2semidirect
29. #459×D73C2semidirect
30. #22619066C2semidirect
31. C73×#3264C2semidirect
32. C2×#14556617C22semidirect
33. C2×#14556611C22semidirect
34. C2×D8×D73C22semidirect
35. C2×D8×D73C22semidirect
38. #17989323C22semidirect
39. #17989319C22semidirect
40. #17989296C22semidirect
41. #17989283C22semidirect
43. #17989271C22semidirect
46. #17989258C22semidirect
47. #17989258C22semidirect
48. #17989237C22semidirect
51. #17989234C22semidirect
52. #17989225C22semidirect
56. D4×C22⋊D73C22semidirect
57. D4×C22⋊D73C22semidirect
58. #17989210C22semidirect
60. #17989190C22semidirect
61. #17989190C22semidirect
62. #17989190C22semidirect
66. #17989154C22semidirect
67. #17989154C22semidirect
70. #127×D73C22semidirect
72. #17989119C22semidirect
73. #17989116C22semidirect
76. #17989070C22semidirect
77. #17989062C22semidirect
78. C4×D4×D73C22semidirect
79. #17988977C22semidirect
80. #17988975C22semidirect
81. #17988973C22semidirect
82. #17988968C22semidirect
83. #17988962C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988950C22semidirect
87. #17988945C22semidirect
88. #17988940C22semidirect
89. #17988932C22semidirect
90. #17988919C22semidirect
91. #17988912C22semidirect
92. #17988908C22semidirect
93. #17988903C22semidirect
94. #17988901C22semidirect
95. #17988899C22semidirect
96. #17988896C22semidirect
97. #17988895C22semidirect
98. #17988889C22semidirect
99. #17988889C22semidirect
100. #17988887C22semidirect
101. #17988886C22semidirect
102. #17988886C22semidirect
103. #17988885C22semidirect
104. #17988876C22semidirect
105. #17988865C22semidirect
106. #17988840C22semidirect
107. #17988838C22semidirect
108. #17988835C22semidirect
109. #17988827C22semidirect
110. #17988823C22semidirect
111. #17988821C22semidirect
112. #17988821C22semidirect
114. #17988815C22semidirect
115. #17988813C22semidirect
116. #17988807C22semidirect
117. #17988807C22semidirect
118. #17988806C22semidirect
119. #17988805C22semidirect
120. #17988804C22semidirect
121. #17988801C22semidirect
122. #17988800C22semidirect
123. #17988800C22semidirect
124. #17988800C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988785C22semidirect
128. #17988785C22semidirect
129. #17988785C22semidirect
130. #17988783C22semidirect
131. #17988782C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988781C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
137. #17988780C22semidirect
138. #17988780C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988779C22semidirect
144. #17988747C22semidirect
145. #17988739C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988734C22semidirect
149. #17988734C22semidirect
150. #17988732C22semidirect
151. #17988730C22semidirect
152. #17988721C22semidirect
153. #17988721C22semidirect
154. #17988721C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988699C22semidirect
161. #17988697C22semidirect
162. #17988696C22semidirect
163. #17988696C22semidirect
164. #17988689C22semidirect
165. #17988688C22semidirect
166. #17988687C22semidirect
167. #17988672C22semidirect
168. D8×Dic73C22semidirect
169. D8×Dic73C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988645C22semidirect
177. #17988645C22semidirect
178. #17988642C22semidirect
179. #17988615C22semidirect
180. #17988613C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988592C22semidirect
183. #17988589C22semidirect
184. #17988584C22semidirect
185. C2×#14556512C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×D8×C73C22semidirect
190. #546×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #469×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
945. #3264D73semidirect
959. C73#62007semidirect
961. C2×AGL(1,ℤ/8)C2×D73semidirect
965. C22×D8C2×D73semidirect
984. #546C2×D73semidirect
989. D42C2×D73semidirect
1014. #496C2×D73semidirect
1041. #469C2×D73semidirect
1050. #465C2×D73semidirect
1062. #463C2×D73semidirect
1085. #450C2×D73semidirect
1090. #449C2×D73semidirect
1097. #447C2×D73semidirect
1098. #447C2×D73semidirect
1105. #442C2×D73semidirect
1116. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242622
#226238602
#226230162
#226229682
#226226772
#226226392
#226220722
#226219452
#226219392
#226218872
#226217612
#226217372
#226216142
D8×C22⋊D732
#226214672
#226214092
#226214052
#226213672
#226213452
#226212802
#226210292
#226209772
#226209452
#226201682
#226201232
#226200672
#226194742
#226194312
#459×D732
#226190662
C73×#32642
#6200773