Finite Group Databasebeta

← #33978796

Subgroups — #33978796

Order 18688.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1878 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623703C211yesmaximal, characteristic, complemented
2#22623547C211yesmaximal, characteristic, complemented
3#22622954C211yesmaximal, characteristic, complemented
4#22622948C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622655C211yesmaximal, characteristic, complemented
7#22621954C211yesmaximal, characteristic, complemented
8#22621952C211yesmaximal, characteristic, complemented
9#22621947C211yesmaximal, characteristic, complemented
10#22621945C211yesmaximal, characteristic, complemented
11#22621739C211yesmaximal, characteristic, complemented
12#22621737C211yesmaximal, characteristic, complemented
13SD16×C22⋊D73C211yesmaximal, characteristic, complemented
14#22621620C211yesmaximal, characteristic, complemented
15#22621429C211yesmaximal, characteristic, complemented
16#22621427C211yesmaximal, characteristic, complemented
17#22621420C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621254C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22620947C211yesmaximal, characteristic, complemented
22#22620945C211yesmaximal, characteristic, complemented
23#22620870C211yesmaximal, characteristic, complemented
24#22620051C211yesmaximal, characteristic, complemented
25#22620048C211yesmaximal, characteristic, complemented
26#22619984C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28C2×#17988785C211yesmaximal, characteristic, complemented
29#460×D73C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556636—21no—
33C2×#14556616C2211yescharacteristic, complemented
34C22×#11924015C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37#17989313C2211yescharacteristic, complemented
38#17989306—21no—
39#17989306C2211yescharacteristic, complemented
40#17989277—21no—
41#17989277C2211yescharacteristic, complemented
42#17989271—21no—
43#17989271C2211yescharacteristic, complemented
44#17989258C2211yescharacteristic
45#17989257C2211yescharacteristic
46#17989255—21no—
47Q8×C22⋊D73C2211yescharacteristic, complemented
48#17989244C2211yescharacteristic, complemented
49#17989237—21no—
50#17989237C2211yescharacteristic, complemented
51D4×D292C2211yescharacteristic
52#17989221C2211yescharacteristic
53#17989221C2211yescharacteristic
54D4×C22⋊D73—21no—
55D4×C22⋊D73C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57#17989219—21no—
58#17989219—21no—
59#17989153—21no—
60#17989152—21no—
61#17989152—21no—
62#17989139—21no—
63#17989139C2211yescharacteristic, complemented
64#17989134C2211yescharacteristic
65#17989132C2211yescharacteristic
66#17989132C2211yescharacteristic
67C2×#14556587C2211yescharacteristic
68C2×#14556587C2211yescharacteristic
69#127×D73C2211yescharacteristic
70#17989118—21no—
71#17989118C2211yescharacteristic, complemented
72#17989116—21no—
73#17989116C2211yescharacteristic, complemented
74#41×Dic73C2211yescharacteristic, complemented
75C4×#11924027—21no—
76C4×#11924027C2211yescharacteristic
77C2×Q8×Dic73C2211yescharacteristic, complemented
78C4×Q8×D73C2211yescharacteristic, complemented
79#17988977C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988951C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988912C2211yescharacteristic, complemented
91#17988908C2211yescharacteristic, complemented
92#17988902C2211yescharacteristic, complemented
93#17988901C2211yescharacteristic, complemented
94#17988899C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic, complemented
96#17988890C2211yescharacteristic, complemented
97#17988889C2211yescharacteristic, complemented
98#17988888C2211yescharacteristic, complemented
99#17988887C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988875C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988835C2211yescharacteristic, complemented
107#17988833C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988820C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988801C2211yescharacteristic, complemented
117#17988800C2211yescharacteristic, complemented
118#17988799C2211yescharacteristic, complemented
119#17988791C2211yescharacteristic, complemented
120#17988790C2211yescharacteristic, complemented
121#17988788C2211yescharacteristic, complemented
122#17988787C2211yescharacteristic, complemented
123#17988786C2211yescharacteristic, complemented
124#17988786C2211yescharacteristic, complemented
125#17988786C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988785C2211yescharacteristic, complemented
130#17988785C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988785C2211yescharacteristic, complemented
134#17988785C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988785C2211yescharacteristic, complemented
138#17988784C2211yescharacteristic, complemented
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic, complemented
145#17988740C2211yescharacteristic, complemented
146#17988738C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic, complemented
148#17988737C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988736C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988727C2211yescharacteristic, complemented
153#17988726C2211yescharacteristic, complemented
154#17988724C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988716C2211yescharacteristic, complemented
159#17988715C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988687C2211yescharacteristic, complemented
166#17988685C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic, complemented
173#17988656C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988642C2211yescharacteristic, complemented
177#17988641C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180C2×#14556520C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988592C2211yescharacteristic, complemented
184C2×#14556513C2211yescharacteristic, complemented
185C2×#14556512C2211yescharacteristic, complemented
186#102×D73C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556636—48no—
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027D411yescharacteristic
211C2×Q8×D73C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C22×C22⋊D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227#14556616—42no—
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015—42no—
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×#11924015C2311yescharacteristic
241SD16×D73—42no—
242SD16×D73—42no—
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924012C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250#14556590—21no—
251#14556590C2311yescharacteristic
252#14556590C2311yescharacteristic
253#14556589—21no—
254#14556589C2311yescharacteristic
255#14556588C2311yescharacteristic
256#14556587—21no—
257#14556587—21no—
258#14556587—21no—
259#14556587—21no—
260#14556587—21no—
261#14556587—21no—
262#14556587C2311yescharacteristic
263#14556587C2311yescharacteristic
264#14556587C2311yescharacteristic
265#14556587C2311yescharacteristic
266#14556587C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556587C2311yescharacteristic
269#14556584—21no—
270#14556584—21no—
271#14556584—21no—
272#14556584—21no—
273#14556584—21no—
274#14556584—21no—
275#14556583—21no—
276#14556583C2311yescharacteristic
277#14556582—21no—
278#14556582C2311yescharacteristic
279#14556581—21no—
280#14556581—21no—
281#14556581—21no—
282#14556578—21no—
283#14556578C2311yescharacteristic
284#14556577—21no—
285#14556577—21no—
286#14556577—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556572—21no—
291#14556572—21no—
292#14556572—21no—
293#14556570—21no—
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556567—21no—
301#14556567C2311yescharacteristic
302#14556566—21no—
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556562—21no—
319#14556562—21no—
320#14556562C2311yescharacteristic
321#14556562C2311yescharacteristic
322#14556561—21no—
323#14556561—21no—
324#14556561—21no—
325#14556561—21no—
326#14556560—21no—
327#14556560—21no—
328#14556559—21no—
329#14556559—21no—
330#14556559—21no—
331#14556559—21no—
332Q8×Dic73—21no—
333Q8×Dic73—21no—
334Q8×Dic73C2311yescharacteristic
335Q8×Dic73C2311yescharacteristic
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339C4×Dic146—21no—
340C4×Dic146—21no—
341C4×Dic146C2311yescharacteristic
342C4×Dic146C2311yescharacteristic
343#14556556—21no—
344#14556556—21no—
345#14556556D411yescharacteristic
346#14556556C2311yescharacteristic
347C4×D292C2311yescharacteristic
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73D411yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551D411yescharacteristic
367#14556551D411yescharacteristic
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556549—21no—
371#14556549D411yescharacteristic
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376#14556547—21no—
377#14556547D411yescharacteristic
378#14556547D411yescharacteristic
379C2×C4⋊Dic73—21no—
380C2×C4⋊Dic73C2311yescharacteristic
381C4⋊C4×D73—21no—
382C4⋊C4×D73C2311yescharacteristic
383C2×C4×Dic73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73—21no—
388C42×D73C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×Q8×C73C2311yescharacteristic
442C22×D4×C73—21no—
443C22×D4×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445AGL(1,ℤ/8)×C73—42no—
446C2×SD16×C73—42no—
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×M16×C73C2311yescharacteristic
457C22×C8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#124×C73—21no—
460#124×C73C2311yescharacteristic
461C22⋊Q8×C73—21no—
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73—21no—
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#121×C73C2311yescharacteristic
468#120×C73—21no—
469#120×C73—21no—
470C4×Q8×C73C2311yescharacteristic
471C4×D4×C73—21no—
472C4×D4×C73C2311yescharacteristic
473C4×D4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475C4⋊C8×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489#11924028—44no—
490#11924028—44no—
491#11924027—24no—
492#11924027—44no—
493#11924027—44no—
494#11924027—44no—
495#11924027—44no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146C2×D411yescharacteristic
500C2×Dic146C2411yescharacteristic
501Q8×D73—22no—
502Q8×D73—41no—
503C2×D292—21no—
504C2×D292—21no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—41no—
509C2×D292—41no—
510C2×D292—41no—
511C2×D292—41no—
512C2×D292C2411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
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—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—44no—
536C2×C22⋊D73—44no—
537C2×C22⋊D73—44no—
538C2×C22⋊D73—44no—
539C2×C22⋊D73—82no—
540C2×C22⋊D73—82no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543D4×D73—41no—
544D4×D73—41no—
545D4×D73—41no—
546D4×D73—41no—
547D4×D73—44no—
548D4×D73—44no—
549D4×D73—44no—
550D4×D73—44no—
551D4×D73—82no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C22×Dic73—21no—
556C22×Dic73—21no—
557C22×Dic73C2×D411yescharacteristic
558C22×Dic73C2×D411yescharacteristic
559C22×Dic73C2×D411yescharacteristic
560C22×Dic73C2×D411yescharacteristic
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2411yescharacteristic
569#11924017—41no—
570#11924017—41no—
571#11924017—41no—
572#11924016—41no—
573#11924016—41no—
574#11924016—41no—
575#11924015—22no—
576#11924015—22no—
577#11924015—22no—
578#11924015—41no—
579#11924015—41no—
580#11924015—41no—
581#11924013—41no—
582#11924013—41no—
583#11924013—41no—
584#11924012—41no—
585C2×#10596831—41no—
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C2×#10596831C2411yescharacteristic
590C8×D73—41no—
591C8×D73—41no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73C2×D411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73C2×D411yescharacteristic
633C22⋊Dic73C2×D411yescharacteristic
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005C2×D411yescharacteristic
642#11924005C2×D411yescharacteristic
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73—21no—
649C4×Dic73—21no—
650C4×Dic73—21no—
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2×D411yescharacteristic
655C4×Dic73C2×D411yescharacteristic
656C4×Dic73C2×D411yescharacteristic
657C4×Dic73C2411yescharacteristic
658C4×Dic73C2411yescharacteristic
659C4×Dic73C2411yescharacteristic
660C24×C73—21no—
661C24×C73—21no—
662#41×C73—22no—
663#41×C73—41no—
664C2×Q8×C73—21no—
665C2×Q8×C73—22no—
666C2×Q8×C73—41no—
667C2×Q8×C73C2411yescharacteristic
668C2×Q8×C73C2411yescharacteristic
669C2×D4×C73—21no—
670C2×D4×C73—21no—
671C2×D4×C73—21no—
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—41no—
678C2×D4×C73—41no—
679C2×D4×C73—41no—
680C2×D4×C73—41no—
681C2×D4×C73—44no—
682C2×D4×C73C2×D411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C2×D4×C73C2411yescharacteristic
685C2×D4×C73C2411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73C2411yescharacteristic
691C22×C4×C73C2411yescharacteristic
692SD16×C73—22no—
693SD16×C73—22no—
694SD16×C73—22no—
695SD16×C73—41no—
696SD16×C73—41no—
697SD16×C73—41no—
698D8×C73—41no—
699D8×C73—41no—
700D8×C73—41no—
701M16×C73—41no—
702C2×C8×C73—41no—
703C2×C8×C73C2411yescharacteristic
704C2×C8×C73C2411yescharacteristic
705C2×C8×C73C2411yescharacteristic
706C2×C8×C73C2411yescharacteristic
707C4⋊C4×C73—21no—
708C4⋊C4×C73—21no—
709C4⋊C4×C73C2×D411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73—21no—
719C22⋊C4×C73C2×D411yescharacteristic
720C22⋊C4×C73C2×D411yescharacteristic
721C42×C73—21no—
722C42×C73C2411yescharacteristic
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—21no—
727C23×C73—42no—
728C23×C73—42no—
729C23×C73—81no—
730C23×C73—81no—
731C23×C73—81no—
732C23×C73—81no—
733C23×C73C22×D411yescharacteristic
734C23×C73C22×D411yescharacteristic
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—21no—
738C22×D73—42no—
739C22×D73—42no—
740C22×D73—42no—
741C22×D73—42no—
742C22×D73—81no—
743C22×D73—81no—
744C22×D73—81no—
745C22×D73—81no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73C22×D411yescharacteristic
751Q8×C73—21no—
752Q8×C73—21no—
753Q8×C73—21no—
754Q8×C73—42no—
755Q8×C73H(5,𝔽2)12yescomplemented
756D4×C73—22no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—21no—
760D4×C73—21no—
761D4×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—42no—
766D4×C73—42no—
767D4×C73—42no—
768D4×C73—42no—
769D4×C73—42no—
770D4×C73—81no—
771D4×C73—81no—
772D4×C73—81no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—42no—
782C2×C4×C73—42no—
783C2×C4×C73—42no—
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—22no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—42no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—42no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C22⋊D73—81no—
810C22⋊D73AGL(1,ℤ/8)14yescomplemented
811C2×Dic73—22no—
812C2×Dic73—22no—
813C2×Dic73—22no—
814C2×Dic73—22no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—42no—
821C2×Dic73—42no—
822C2×Dic73—42no—
823C2×Dic73—42no—
824C2×Dic73—42no—
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832D292—21no—
833D292—21no—
834D292—21no—
835D292—21no—
836D292—21no—
837D292—21no—
838D292—42no—
839D292—42no—
840D292—81no—
841D292—81no—
842D292—81no—
843C4×D73—22no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—22no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852Dic146—22no—
853Dic146—21no—
854Dic146—21no—
855Dic146—42no—
856Dic146—42no—
857Dic146—42no—
858C8×C73—21no—
859C8×C73—21no—
860C8×C73—21no—
861C8×C73—21no—
862#10596831—21no—
863#10596831—21no—
864#10596831—21no—
865#10596831—21no—
866C22×C73—21no—
867C22×C73—21no—
868C22×C73—21no—
869C22×C73—21no—
870C22×C73—21no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—41no—
874C22×C73—41no—
875C22×C73—41no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—162no—
884C22×C73—162no—
885C22×C73C2×AGL(1,ℤ/8)12yes—
886C22×C73C23×D411yescharacteristic
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—41no—
890C2×D73—41no—
891C2×D73—41no—
892C2×D73—41no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—162no—
899C2×D73—162no—
900C2×D73—162no—
901C2×D73—162no—
902C2×D73C2×AGL(1,ℤ/8)12yes—
903C4×C73—22no—
904C4×C73—21no—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—41no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73C2×H(5,𝔽2)11yescharacteristic
912C4×C73#58511yescharacteristic
913Dic73—21no—
914Dic73—21no—
915Dic73—21no—
916Dic73—21no—
917Dic73—21no—
918Dic73—41no—
919Dic73—41no—
920Dic73—41no—
921Dic73—41no—
922Dic73—41no—
923Dic73C2×AGL(1,ℤ/8)12yes—
924Dic73#57712yes—
925#61983—731nomaximal, Sylow
926C2×C73—22no—
927C2×C73—41no—
928C2×C73—81no—
929C2×C73—81no—
930C2×C73—81no—
931C2×C73—81no—
932C2×C73#348811yescharacteristic
933C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
934C2×C73C2×#57711yescharacteristic
935D73—22no—
936D73—81no—
937D73—81no—
938D73—81no—
939#3498—731no—
940#3482—731no—
941#3397—731no—
942#3397—731no—
943#3368—731no—
944#3368—731no—
945#3310—731no—
946#3310—731no—
947#3310—731no—
948#3310—731no—
949#3294—731no—
950#3294—731no—
951D4×SD16—731no—
952D4×SD16—731no—
953#3265—731no—
954#3265—731no—
955#3265—731no—
956#3265D7311yescharacteristic, complemented
957#3254—731no—
958#3247—731no—
959#3247—731no—
960#3217—731no—
961#3217—731no—
962#3208—731no—
963#3112—731no—
964#3112—731no—
965#3106—731no—
966#3038—731no—
967C2×#460—731no—
968C2×#460—731no—
969#2990—731no—
970C73#6198311yescharacteristic, complemented, Sylow
971C2×H(5,𝔽2)—1461no—
972C2×AGL(1,ℤ/8)—731no—
973C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
974C22×SD16—731no—
975C22×SD16—731no—
976C22×SD16—731no—
977C22×SD16C2×D7311yescharacteristic, complemented
978#557—731no—
979#556—731no—
980#556—1461no—
981#552—731no—
982#552—731no—
983#552—1461no—
984#552—1461no—
985#550—731no—
986#550—731no—
987#550—1461no—
988D4×Q8—731no—
989#548—731no—
990#548C2×D7311yescharacteristic, complemented
991#547—731no—
992#547—1461no—
993D42—731no—
994D42—731no—
995D42—731no—
996D42—731no—
997D42—731no—
998D42—1461no—
999D42—1461no—
1000D42—1461no—
1001D42C2×D7311yescharacteristic
1002#535—1461no—
1003#535—1461no—
1004#535—1461no—
1005#533—731no—
1006#533—1461no—
1007#532—731no—
1008#532—731no—
1009#532—731no—
1010C2×#127—731no—
1011C2×#127—731no—
1012C2×#127—731no—
1013#529—731no—
1014#529—731no—
1015#529—1461no—
1016#529—1461no—
1017C4×#41—731no—
1018C4×#41—731no—
1019C4×#41—1461no—
1020C2×C4×Q8—731no—
1021C2×C4×Q8—731no—
1022#496—731no—
1023#496—731no—
1024#496—731no—
1025#496C2×D7311yescharacteristic, complemented
1026#492—731no—
1027#492—731no—
1028#490—731no—
1029#490—731no—
1030#490—731no—
1031#490—731no—
1032#486—731no—
1033#486—731no—
1034#482—731no—
1035#482—731no—
1036#480—731no—
1037#480—731no—
1038#480—731no—
1039#480—731no—
1040#478—731no—
1041#478—731no—
1042#478—731no—
1043#478—731no—
1044#477—731no—
1045#477—731no—
1046#477—731no—
1047#476—731no—
1048#474—731no—
1049#474—731no—
1050#468—731no—
1051#468—731no—
1052#468—731no—
1053#468C2×D7311yescharacteristic, complemented
1054#466—731no—
1055#466—731no—
1056#466—731no—
1057#466C2×D7311yescharacteristic, complemented
1058#465—731no—
1059#465—731no—
1060#465—731no—
1061#465—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463C2×D7311yescharacteristic, complemented
1066#461—731no—
1067#461—731no—
1068#460—731no—
1069#460—731no—
1070#460—731no—
1071#460—731no—
1072#460—731no—
1073#460—731no—
1074#460—731no—
1075#460—731no—
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#460—731no—
1080#460—731no—
1081#460—731no—
1082#460—731no—
1083#460—731no—
1084#460—731no—
1085#460—731no—
1086#460C2×D7311yescharacteristic, complemented
1087#459—731no—
1088#459—731no—
1089#459—731no—
1090#459—731no—
1091#459—731no—
1092#450—731no—
1093#450—731no—
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450—731no—
1098#450—731no—
1099#450C2×D7311yescharacteristic, complemented
1100#449—731no—
1101#449C2×D7311yescharacteristic, complemented
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448C2×D7311yescharacteristic, complemented
1106#447—731no—
1107#447—731no—
1108#447—731no—
1109#447C2×D7311yescharacteristic, complemented
1110#446—731no—
1111#446—731no—
1112#440—731no—
1113#440—731no—
1114#440—731no—
1115#440—731no—
1116#440—731no—
1117#440—731no—
1118#440—731no—
1119#440C2×D7311yescharacteristic, complemented
1120C4×SD16—731no—
1121C4×SD16—731no—
1122C4×D8—731no—
1123C4×D8—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic, complemented
1128C8×D4—731no—
1129C8×D4—731no—
1130#432—731no—
1131#432—731no—
1132#431—731no—
1133#423—731no—
1134C2×C4⋊C8—731no—
1135C2×C4⋊C8—731no—
1136#418—731no—
1137#418—731no—
1138C2×#102—731no—
1139C2×#102—731no—
1140C2×#102—731no—
1141C2×#102—731no—
1142H(5,𝔽2)—2928no—
1143C2×#41—731no—
1144C2×#41—1461no—
1145C2×#41—1461no—
1146C2×#41—1461no—
1147C2×#41—1461no—
1148C2×#41—1461no—
1149C2×#41—1461no—
1150C2×#41C22×D7311yescharacteristic
1151C22×Q8—731no—
1152C22×Q8C22×D7311yescharacteristic
1153C22×D4—21no—
1154C22×D4—731no—
1155C22×D4—731no—
1156C22×D4—731no—
1157C22×D4—731no—
1158C22×D4—1461no—
1159C22×D4—1461no—
1160C22×D4—1461no—
1161C22×D4—1461no—
1162C22×D4—1461no—
1163C22×D4—1461no—
1164C22×D4—1461no—
1165C22×D4—1461no—
1166C22×D4—1461no—
1167C22×D4—1461no—
1168C22×D4—1461no—
1169C22×D4C22×D7311yescharacteristic
1170C22×D4C22×D7311yescharacteristic
1171AGL(1,ℤ/8)—42no—
1172AGL(1,ℤ/8)—2922no—
1173C2×SD16—42no—
1174C2×SD16—2922no—
1175C2×SD16—2922no—
1176C2×SD16—2922no—
1177C2×SD16—731no—
1178C2×SD16—731no—
1179C2×SD16—731no—
1180C2×SD16—731no—
1181C2×SD16—731no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16C22×D7311yescharacteristic
1190C2×SD16C22×D7311yescharacteristic
1191C2×SD16C22×D7311yescharacteristic
1192C2×SD16C22×D7311yescharacteristic
1193C2×SD16C22×D7311yescharacteristic
1194C2×SD16C22×D7311yescharacteristic
1195C2×D8—731no—
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8C22×D7311yescharacteristic
1199C2×D8C22×D7311yescharacteristic
1200C2×D8C22×D7311yescharacteristic
1201C2×M16—731no—
1202C2×M16C22×D7311yescharacteristic
1203C22×C8—731no—
1204C22×C8—731no—
1205C22×C8—731no—
1206C22×C8C22×D7311yescharacteristic
1207C4⋊Q8—731no—
1208C4⋊Q8—731no—
1209C4⋊Q8—731no—
1210C4⋊Q8—1461no—
1211C4⋊Q8—1461no—
1212#127—731no—
1213#127—731no—
1214#127—731no—
1215#127—731no—
1216#127—731no—
1217#127—731no—
1218#127—731no—
1219#127—731no—
1220#127—1461no—
1221#127—1461no—
1222#127—1461no—
1223#127—1461no—
1224#127—1461no—
1225#127—1461no—
1226#127C22×D7311yescharacteristic
1227#126—1461no—
1228#126—1461no—
1229#126—1461no—
1230#126—1461no—
1231#126—1461no—
1232#126—1461no—
1233#125—731no—
1234#125—731no—
1235#125—1461no—
1236#125—1461no—
1237#125—1461no—
1238#125—1461no—
1239#125—1461no—
1240#124—21no—
1241#124—731no—
1242#124—1461no—
1243#124—1461no—
1244#124—1461no—
1245#124—1461no—
1246#124C22×D7311yescharacteristic
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253C22⋊Q8—21no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—1461no—
1258C22⋊Q8—1461no—
1259C22⋊Q8—1461no—
1260C22⋊Q8—1461no—
1261C22⋊Q8—1461no—
1262C22⋊Q8—1461no—
1263C22⋊Q8C22×D7311yescharacteristic
1264#121—21no—
1265#121—21no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
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#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121C22×D7311yescharacteristic
1287#121C22×D7311yescharacteristic
1288#121C22×D7311yescharacteristic
1289#120—21no—
1290#120—21no—
1291#120—1461no—
1292#120—1461no—
1293#120—1461no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301C4×Q8—731no—
1302C4×Q8—731no—
1303C4×Q8—731no—
1304C4×Q8—731no—
1305C4×Q8—731no—
1306C4×Q8—731no—
1307C4×Q8—731no—
1308C4×Q8—731no—
1309C4×Q8—731no—
1310C4×Q8—1461no—
1311C4×Q8—1461no—
1312C4×Q8—1461no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8—1461no—
1316C4×Q8C22×D7311yescharacteristic
1317C4×D4—21no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4C22×D7311yescharacteristic
1340C4×D4C22×D7311yescharacteristic
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—1461no—
1346#117—1461no—
1347#117—1461no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117—1461no—
1352C2×C4⋊C4—731no—
1353C2×C4⋊C4—731no—
1354C2×C4⋊C4—1461no—
1355C2×C4⋊C4—1461no—
1356C2×C42—731no—
1357C2×C42—731no—
1358C2×C42—731no—
1359C2×C42—1461no—
1360C2×C42—1461no—
1361C2×C42—1461no—
1362#107—731no—
1363#107—731no—
1364#107—731no—
1365#107—731no—
1366#107—731no—
1367#107C22×D7311yescharacteristic
1368#106—731no—
1369#106—731no—
1370C4⋊C8—731no—
1371C4⋊C8—731no—
1372C4⋊C8—731no—
1373C4⋊C8—731no—
1374C4⋊C8—731no—
1375C4⋊C8—731no—
1376C4⋊C8—731no—
1377C4⋊C8—731no—
1378C4⋊C8—731no—
1379C4⋊C8C22×D7311yescharacteristic
1380#103—731no—
1381#103—731no—
1382#103—731no—
1383#103—731no—
1384#103C22×D7311yescharacteristic
1385#103C22×D7311yescharacteristic
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#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102C22×D7311yescharacteristic
1409#102C22×D7311yescharacteristic
1410#102C22×D7311yescharacteristic
1411#102C22×D7311yescharacteristic
1412C22⋊C8—731no—
1413C22⋊C8—731no—
1414C22⋊C8—731no—
1415C22⋊C8—731no—
1416C22⋊C8C22×D7311yescharacteristic
1417C22⋊C8C22×D7311yescharacteristic
1418#97—731no—
1419#97—731no—
1420#97—731no—
1421#97C22×D7311yescharacteristic
1422C4×C8—731no—
1423C4×C8—731no—
1424C24—21no—
1425C24—21no—
1426C24—1461no—
1427C24—1461no—
1428C24—1461no—
1429C24—1461no—
1430#41—22no—
1431#41—41no—
1432#41—2924no—
1433#41—2924no—
1434#41—2924no—
1435#41—2924no—
1436#41—2924no—
1437#41—2924no—
1438#41—1464no—
1439C2×Q8—21no—
1440C2×Q8—22no—
1441C2×Q8—41no—
1442C2×Q8—2921no—
1443C2×Q8—731no—
1444C2×Q8—731no—
1445C2×Q8—1461no—
1446C2×Q8—1461no—
1447C2×Q8—1461no—
1448C2×Q8—1462no—
1449C2×Q8C23×D7311yescharacteristic
1450C2×Q8C23×D7311yescharacteristic
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—41no—
1460C2×D4—41no—
1461C2×D4—41no—
1462C2×D4—41no—
1463C2×D4—44no—
1464C2×D4—2921no—
1465C2×D4—2921no—
1466C2×D4—2921no—
1467C2×D4—2921no—
1468C2×D4—2924no—
1469C2×D4—2924no—
1470C2×D4—2924no—
1471C2×D4—2924no—
1472C2×D4—2924no—
1473C2×D4—2921no—
1474C2×D4—2921no—
1475C2×D4—2921no—
1476C2×D4—2921no—
1477C2×D4—2924no—
1478C2×D4—2924no—
1479C2×D4—2924no—
1480C2×D4—5842no—
1481C2×D4—5842no—
1482C2×D4—5842no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—731no—
1487C2×D4—731no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4D4×D7311yescharacteristic
1514C2×D4C23×D7311yescharacteristic
1515C2×D4C23×D7311yescharacteristic
1516C2×D4C23×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—731no—
1522C22×C4—731no—
1523C22×C4—731no—
1524C22×C4—731no—
1525C22×C4—731no—
1526C22×C4—731no—
1527C22×C4—731no—
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×C4C23×D7311yescharacteristic
1539C22×C4C23×D7311yescharacteristic
1540SD16—22no—
1541SD16—22no—
1542SD16—22no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—2921no—
1547SD16—2921no—
1548SD16—2921no—
1549SD16—2921no—
1550SD16—2921no—
1551SD16—2921no—
1552SD16—2921no—
1553SD16—2921no—
1554SD16—2921no—
1555SD16—1462no—
1556SD16—1462no—
1557SD16—1462no—
1558D8—41no—
1559D8—41no—
1560D8—41no—
1561D8—2921no—
1562D8—2921no—
1563D8—2921no—
1564M16—41no—
1565M16—2921no—
1566C2×C8—41no—
1567C2×C8—2921no—
1568C2×C8—2921no—
1569C2×C8—2921no—
1570C2×C8—731no—
1571C2×C8—731no—
1572C2×C8—731no—
1573C2×C8—731no—
1574C2×C8C23×D7311yescharacteristic
1575C2×C8C23×D7311yescharacteristic
1576C2×C8C23×D7311yescharacteristic
1577C2×C8C23×D7311yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—731no—
1581C4⋊C4—731no—
1582C4⋊C4—731no—
1583C4⋊C4—731no—
1584C4⋊C4—731no—
1585C4⋊C4—731no—
1586C4⋊C4—731no—
1587C4⋊C4—731no—
1588C4⋊C4—731no—
1589C4⋊C4—1461no—
1590C4⋊C4—1461no—
1591C4⋊C4—1461no—
1592C4⋊C4—1461no—
1593C4⋊C4—1461no—
1594C4⋊C4—1461no—
1595C4⋊C4—1461no—
1596C4⋊C4—1461no—
1597C4⋊C4—1461no—
1598C4⋊C4—1461no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4D4×D7311yescharacteristic
1610C4⋊C4C23×D7311yescharacteristic
1611C4⋊C4C23×D7311yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—731no—
1620C22⋊C4—731no—
1621C22⋊C4—731no—
1622C22⋊C4—731no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4D4×D7311yescharacteristic
1642C22⋊C4D4×D7311yescharacteristic
1643C42—21no—
1644C42—731no—
1645C42—731no—
1646C42—731no—
1647C42—731no—
1648C42—731no—
1649C42—731no—
1650C42—731no—
1651C42—731no—
1652C42—731no—
1653C42—1461no—
1654C42—1461no—
1655C42—1461no—
1656C42—1461no—
1657C42—1461no—
1658C42—1461no—
1659C42—1461no—
1660C42—1461no—
1661C42C23×D7311yescharacteristic
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—81no—
1670C23—81no—
1671C23—81no—
1672C23—2922no—
1673C23—2922no—
1674C23—2922no—
1675C23—2922no—
1676C23—5841no—
1677C23—5841no—
1678C23—5841no—
1679C23—5841no—
1680C23—5841no—
1681C23—5841no—
1682C23—5841no—
1683C23—5841no—
1684C23—731no—
1685C23—1461no—
1686C23—1461no—
1687C23—1461no—
1688C23C2×D4×D7311yescharacteristic
1689C23C2×D4×D7311yescharacteristic
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—42no—
1694Q8—2922no—
1695Q8—2922no—
1696Q8—2922no—
1697Q8—1462no—
1698Q8—1461no—
1699Q8—1461no—
1700Q8#1455663612yescomplemented
1701D4—22no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—81no—
1716D4—81no—
1717D4—81no—
1718D4—2922no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—734no—
1744D4—1462no—
1745D4—1461no—
1746D4—1461no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—2922no—
1763C2×C4—2922no—
1764C2×C4—2922no—
1765C2×C4—2922no—
1766C2×C4—2922no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—731no—
1773C2×C4—731no—
1774C2×C4—731no—
1775C2×C4—731no—
1776C2×C4—731no—
1777C2×C4—731no—
1778C2×C4—731no—
1779C2×C4—1462no—
1780C2×C4—1462no—
1781C2×C4—1461no—
1782C2×C4—1461no—
1783C2×C4—1461no—
1784C2×C4—1461no—
1785C2×C4—1461no—
1786C2×C4—1462no—
1787C2×C4—1462no—
1788C2×C4—1462no—
1789C2×C4—1462no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4C2×D4×D7311yescharacteristic
1793C2×C4C2×D4×D7311yescharacteristic
1794C2×C4C2×D4×D7311yescharacteristic
1795C2×C4C2×D4×D7311yescharacteristic
1796C2×C4C24×D7311yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1461no—
1802C8—1461no—
1803C8—1461no—
1804C8—1461no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—162no—
1823C22—162no—
1824C22—2921no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—732no—
1834C22—11682no—
1835C22—11682no—
1836C22—11682no—
1837C22—11682no—
1838C22—1461no—
1839C22—1461no—
1840C22AGL(1,ℤ/8)×D7312yes—
1841C22C22×D4×D7311yescharacteristic
1842C4—21no—
1843C4—21no—
1844C4—22no—
1845C4—21no—
1846C4—21no—
1847C4—41no—
1848C4—41no—
1849C4—41no—
1850C4—2921no—
1851C4—2921no—
1852C4—2921no—
1853C4—2921no—
1854C4—2921no—
1855C4—732no—
1856C4—732no—
1857C4—1461no—
1858C4—1461no—
1859C4—1461no—
1860C4—1461no—
1861C4—1461no—
1862C4C2×#1455663611yescharacteristic
1863C4#1798942211yescharacteristic
1864C2—22no—
1865C2—41no—
1866C2—81no—
1867C2—81no—
1868C2—81no—
1869C2—81no—
1870C2—5841no—
1871C2—5841no—
1872C2—5841no—
1873C2—1462no—
1874C2#2262359111yescharacteristic
1875C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1876C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61983
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22623703C2semidirect
2. #22623547C2semidirect
3. #22622954C2semidirect
4. #22622948C2semidirect
5. #22622661C2semidirect
6. #22622655C2semidirect
7. #22621954C2semidirect
8. #22621952C2semidirect
9. #22621947C2semidirect
10. #22621945C2semidirect
11. #22621739C2semidirect
12. #22621737C2semidirect
13. SD16×C22⋊D73C2semidirect
14. #22621620C2semidirect
15. #22621429C2semidirect
16. #22621427C2semidirect
17. #22621420C2semidirect
18. #22621313C2semidirect
19. #22621254C2semidirect
20. #22621250C2semidirect
21. #22620947C2semidirect
22. #22620945C2semidirect
23. #22620870C2semidirect
24. #22620051C2semidirect
25. #22620048C2semidirect
26. #22619984C2semidirect
27. #22619409C2semidirect
28. C2×#17988785C2semidirect
29. #460×D73C2semidirect
30. #22619051C2semidirect
31. C73×#3265C2semidirect
33. C2×#14556616C22semidirect
34. C22×#11924015C22semidirect
35. C2×SD16×D73C22semidirect
36. C2×SD16×D73C22semidirect
37. #17989313C22semidirect
39. #17989306C22semidirect
41. #17989277C22semidirect
43. #17989271C22semidirect
47. Q8×C22⋊D73C22semidirect
48. #17989244C22semidirect
50. #17989237C22semidirect
63. #17989139C22semidirect
71. #17989118C22semidirect
73. #17989116C22semidirect
74. #41×Dic73C22semidirect
77. C2×Q8×Dic73C22semidirect
78. C4×Q8×D73C22semidirect
79. #17988977C22semidirect
80. #17988975C22semidirect
81. #17988975C22semidirect
82. #17988958C22semidirect
83. #17988958C22semidirect
84. #17988952C22semidirect
85. #17988951C22semidirect
86. #17988950C22semidirect
87. #17988950C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988912C22semidirect
91. #17988908C22semidirect
92. #17988902C22semidirect
93. #17988901C22semidirect
94. #17988899C22semidirect
95. #17988898C22semidirect
96. #17988890C22semidirect
97. #17988889C22semidirect
98. #17988888C22semidirect
99. #17988887C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988880C22semidirect
103. #17988875C22semidirect
104. #17988866C22semidirect
105. #17988865C22semidirect
106. #17988835C22semidirect
107. #17988833C22semidirect
108. #17988831C22semidirect
109. #17988822C22semidirect
110. #17988821C22semidirect
111. #17988820C22semidirect
112. #17988819C22semidirect
113. #17988816C22semidirect
114. #17988814C22semidirect
115. #17988813C22semidirect
116. #17988801C22semidirect
117. #17988800C22semidirect
118. #17988799C22semidirect
119. #17988791C22semidirect
120. #17988790C22semidirect
121. #17988788C22semidirect
122. #17988787C22semidirect
123. #17988786C22semidirect
124. #17988786C22semidirect
125. #17988786C22semidirect
126. #17988785C22semidirect
127. #17988785C22semidirect
128. #17988785C22semidirect
129. #17988785C22semidirect
130. #17988785C22semidirect
131. #17988785C22semidirect
132. #17988785C22semidirect
133. #17988785C22semidirect
134. #17988785C22semidirect
135. #17988785C22semidirect
136. #17988785C22semidirect
137. #17988785C22semidirect
138. #17988784C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
144. #17988740C22semidirect
145. #17988740C22semidirect
146. #17988738C22semidirect
147. #17988738C22semidirect
148. #17988737C22semidirect
149. #17988736C22semidirect
150. #17988736C22semidirect
151. #17988732C22semidirect
152. #17988727C22semidirect
153. #17988726C22semidirect
154. #17988724C22semidirect
155. #17988720C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988716C22semidirect
159. #17988715C22semidirect
160. #17988690C22semidirect
161. #17988690C22semidirect
162. #17988689C22semidirect
163. #17988688C22semidirect
164. #17988688C22semidirect
165. #17988687C22semidirect
166. #17988685C22semidirect
167. SD16×Dic73C22semidirect
168. #17988672C22semidirect
169. D8×Dic73C22semidirect
170. #17988667C22semidirect
171. #17988661C22semidirect
172. #17988659C22semidirect
173. #17988656C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988642C22semidirect
177. #17988641C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. C2×#14556520C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988593C22semidirect
183. #17988592C22semidirect
184. C2×#14556513C22semidirect
185. C2×#14556512C22semidirect
186. #102×D73C22semidirect
187. #102×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
755. Q8×C73H(5,𝔽2)semidirect
810. C22⋊D73AGL(1,ℤ/8)semidirect
956. #3265D73semidirect
970. C73#61983semidirect
973. C2×AGL(1,ℤ/8)C2×D73semidirect
977. C22×SD16C2×D73semidirect
990. #548C2×D73semidirect
1025. #496C2×D73semidirect
1053. #468C2×D73semidirect
1057. #466C2×D73semidirect
1065. #463C2×D73semidirect
1086. #460C2×D73semidirect
1099. #450C2×D73semidirect
1101. #449C2×D73semidirect
1105. #448C2×D73semidirect
1109. #447C2×D73semidirect
1119. #440C2×D73semidirect
1127. #435C2×D73semidirect
1700. Q8#14556636semidirect

Maximal subgroups

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

subgroupindex
#226237032
#226235472
#226229542
#226229482
#226226612
#226226552
#226219542
#226219522
#226219472
#226219452
#226217392
#226217372
SD16×C22⋊D732
#226216202
#226214292
#226214272
#226214202
#226213132
#226212542
#226212502
#226209472
#226209452
#226208702
#226200512
#226200482
#226199842
#226194092
C2×#179887852
#460×D732
#226190512
C73×#32652
#6198373