Finite Group Databasebeta

← #33979054

Subgroups — #33979054

Order 18688.

1978 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623536C211yesmaximal, characteristic, complemented
3#22622940C211yesmaximal, characteristic, complemented
4#22622938C211yesmaximal, characteristic, complemented
5#22622592C211yesmaximal, characteristic, complemented
6#22622586C211yesmaximal, characteristic, complemented
7#22622264C211yesmaximal, characteristic, complemented
8#22622262C211yesmaximal, characteristic, complemented
9#22622138C211yesmaximal, characteristic, complemented
10#22622136C211yesmaximal, characteristic, complemented
11#22622134C211yesmaximal, characteristic, complemented
12#22622132C211yesmaximal, characteristic, complemented
13#22621549C211yesmaximal, characteristic, complemented
14#22621545C211yesmaximal, characteristic, complemented
15#22621538C211yesmaximal, characteristic, complemented
16#22621536C211yesmaximal, characteristic, complemented
17#22621535C211yesmaximal, characteristic, complemented
18#22621313C211yesmaximal, characteristic, complemented
19#22621290C211yesmaximal, characteristic, complemented
20#22621288C211yesmaximal, characteristic, complemented
21#22620910C211yesmaximal, characteristic, complemented
22#22620902C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22619995C211yesmaximal, characteristic, complemented
25#22619929C211yesmaximal, characteristic, complemented
26#22619926C211yesmaximal, characteristic, complemented
27#22619409C211yesmaximal, characteristic, complemented
28#22619393C211yesmaximal, characteristic, complemented
29#22619392C211yesmaximal, characteristic, complemented
30#22619059C211yesmaximal, characteristic, complemented
31C73×#3273C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic, complemented
33C2×#14556617C2211yescharacteristic, complemented
34C2×#14556616C2211yescharacteristic
35C2×#14556615C2211yescharacteristic, complemented
36#17989321—21no—
37#17989320C2211yescharacteristic, complemented
38#17989319C2211yescharacteristic, complemented
39#17989319C2211yescharacteristic, complemented
40#17989296C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic, complemented
42#17989284C2211yescharacteristic
43#17989283C2211yescharacteristic
44#17989280—21no—
45#17989263—21no—
46#17989260—21no—
47#17989256C2211yescharacteristic
48#17989255—21no—
49#17989255C2211yescharacteristic
50#17989233C2211yescharacteristic, complemented
51#17989231C2211yescharacteristic, complemented
52#17989228C2211yescharacteristic, complemented
53#17989227—21no—
54#17989225C2211yescharacteristic
55#17989224—21no—
56#17989224—21no—
57D4×C22⋊D73C2211yescharacteristic, complemented
58#17989189—21no—
59#17989187—21no—
60#17989152—21no—
61#17989139C2211yescharacteristic, complemented
62#17989136C2211yescharacteristic, complemented
63#17989134C2211yescharacteristic, complemented
64#17989133C2211yescharacteristic, complemented
65#17989132C2211yescharacteristic
66#17989132C2211yescharacteristic, complemented
67C2×#14556587C2211yescharacteristic, complemented
68#17989123C2211yescharacteristic, complemented
69#17989116C2211yescharacteristic, complemented
70#17989114—21no—
71#17989097—21no—
72#17989093—21no—
73#17989060—21no—
74#41×Dic73C2211yescharacteristic
75C4×#11924027C2211yescharacteristic
76C2×D4×Dic73C2211yescharacteristic, complemented
77C2×#14556551—21no—
78C4×D4×D73C2211yescharacteristic, complemented
79#17988972C2211yescharacteristic, complemented
80#17988969C2211yescharacteristic, complemented
81#17988968C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic
83#17988962C2211yescharacteristic
84#17988943C2211yescharacteristic, complemented
85#17988942C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988929C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, 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#17988870C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988840C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic, complemented
110#17988836C2211yescharacteristic, complemented
111#17988835C2211yescharacteristic, complemented
112#17988835C2211yescharacteristic, complemented
113#17988833C2211yescharacteristic, complemented
114#17988831C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988804C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988791C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988790C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988785C2211yescharacteristic, complemented
134#17988785C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988780C2211yescharacteristic
139#17988780C2211yescharacteristic
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic
145#17988748C2211yescharacteristic, complemented
146#17988747C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988732C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988729C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158C8×Dic146C2211yescharacteristic, complemented
159#17988711C2211yescharacteristic, complemented
160Q16×Dic73C2211yescharacteristic, complemented
161#17988679C2211yescharacteristic, complemented
162#17988678C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic, complemented
165D8×Dic73C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169#17988667C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic, complemented
171#17988665C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988662C2211yescharacteristic, complemented
176#17988638C2211yescharacteristic, complemented
177#17988637C2211yescharacteristic, complemented
178#17988637C2211yescharacteristic, complemented
179#17988610C2211yescharacteristic, complemented
180#17988610C2211yescharacteristic, complemented
181#17988609C2211yescharacteristic, complemented
182#17988593C2211yescharacteristic, complemented
183#17988592C2211yescharacteristic, complemented
184#17988589C2211yescharacteristic, complemented
185#17988588C2211yescharacteristic, complemented
186#17988587C2211yescharacteristic, complemented
187#17988585C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#436×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027D411yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×D292C2311yescharacteristic
211C22×C22⋊D73—21no—
212C22×C22⋊D73—21no—
213C22×C22⋊D73—21no—
214C2×D4×D73C2311yescharacteristic
215C23×Dic73—21no—
216C22×C4×D73—21no—
217#14556618—42no—
218#14556617—42no—
219#14556616—42no—
220#14556615—42no—
221C2×#11924018C2311yescharacteristic
222C2×#11924017C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924015C2311yescharacteristic
226C2×#11924015C2311yescharacteristic
227C2×#11924015C2311yescharacteristic
228C2×D584C2311yescharacteristic
229C2×D584C2311yescharacteristic
230C2×#11924013C2311yescharacteristic
231C2×#11924013C2311yescharacteristic
232C2×#11924013C2311yescharacteristic
233C2×#11924013C2311yescharacteristic
234C2×#11924013C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924012C2311yescharacteristic
237C2×#11924012C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C2×#11924011C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556590C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556587—21no—
244#14556587—21no—
245#14556587—21no—
246#14556587—21no—
247#14556587C2311yescharacteristic
248#14556587C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556587C2311yescharacteristic
252#14556586—21no—
253#14556586—21no—
254#14556584—21no—
255#14556584—21no—
256#14556583C2311yescharacteristic
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581—21no—
260#14556580C2311yescharacteristic
261#14556580C2311yescharacteristic
262#14556579C2311yescharacteristic
263#14556578C2311yescharacteristic
264#14556577—21no—
265#14556577—21no—
266#14556577—21no—
267#14556577—21no—
268#14556577—21no—
269#14556577—21no—
270#14556576—21no—
271#14556576—21no—
272#14556575—21no—
273#14556575—21no—
274#14556575—21no—
275#14556574—21no—
276#14556574—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556571—21no—
285#14556570—21no—
286#14556570C2311yescharacteristic
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556567C2311yescharacteristic
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556565C2311yescharacteristic
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556564—21no—
303#14556563—21no—
304#14556563—21no—
305#14556563—21no—
306#14556563—21no—
307#14556563—21no—
308#14556563—21no—
309#14556563—21no—
310#14556563—21no—
311#14556563—21no—
312#14556562—21no—
313#14556562—21no—
314#14556562C2311yescharacteristic
315#14556562C2311yescharacteristic
316#14556561—21no—
317#14556560—21no—
318#14556560—21no—
319#14556559—21no—
320#14556559—21no—
321#14556559—21no—
322Q8×Dic73C2311yescharacteristic
323Q8×Dic73C2311yescharacteristic
324Q8×Dic73C2311yescharacteristic
325C4×Dic146C2311yescharacteristic
326#14556556—21no—
327#14556556D411yescharacteristic
328#14556556C2311yescharacteristic
329C4×D292C2311yescharacteristic
330C4×D292C2311yescharacteristic
331D4×Dic73—21no—
332D4×Dic73—21no—
333D4×Dic73—21no—
334D4×Dic73—21no—
335D4×Dic73D411yescharacteristic
336D4×Dic73C2311yescharacteristic
337D4×Dic73C2311yescharacteristic
338D4×Dic73C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341D4×Dic73C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344C4×C22⋊D73—21no—
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73C2311yescharacteristic
351C4×C22⋊D73C2311yescharacteristic
352#14556551—21no—
353#14556551—21no—
354#14556551—21no—
355#14556551—21no—
356#14556551—21no—
357#14556551—21no—
358#14556551—21no—
359#14556551—21no—
360#14556551—21no—
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551D411yescharacteristic
366#14556551D411yescharacteristic
367#14556550—21no—
368#14556550C2311yescharacteristic
369#14556549—21no—
370#14556549D411yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547D411yescharacteristic
374#14556547D411yescharacteristic
375C2×C4⋊Dic73C2311yescharacteristic
376C2×#11924007—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×C22⋊Dic73—21no—
379C2×C22⋊Dic73—21no—
380C2×#11924005—21no—
381C22⋊C4×D73—21no—
382C22⋊C4×D73—21no—
383C22⋊C4×D73—21no—
384C2×C4×Dic73—21no—
385C2×C4×Dic73C2311yescharacteristic
386C2×C4×Dic73C2311yescharacteristic
387C42×D73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556523C2311yescharacteristic
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#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556514C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
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
434C4×#10596831C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444AGL(1,ℤ/8)×C73—42no—
445C2×Q16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C2×M16×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C22⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484C23×D73—21no—
485C23×D73—21no—
486#11924029—41no—
487#11924029—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—82no—
491#11924027—41no—
492#11924027—41no—
493#11924027—42no—
494#11924027—82no—
495#11924027—82no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146C2×D411yescharacteristic
499C2×Dic146C2411yescharacteristic
500C2×D292—21no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—41no—
504C2×D292—41no—
505C2×D292C2411yescharacteristic
506C2×D292C2411yescharacteristic
507C2×D292C2411yescharacteristic
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—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—44no—
527C2×C22⋊D73—44no—
528C2×C22⋊D73—82no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—41no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73—21no—
539C22×Dic73—21no—
540C22×Dic73—21no—
541C22×Dic73—82no—
542C22×Dic73C2×D411yescharacteristic
543C22×Dic73C2×D411yescharacteristic
544C22×Dic73C2×D411yescharacteristic
545C22×Dic73C2×D411yescharacteristic
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—82no—
554C2×C4×D73C2×D411yescharacteristic
555C2×C4×D73C2×D411yescharacteristic
556C2×C4×D73C2411yescharacteristic
557#11924018—41no—
558#11924017—41no—
559#11924016—22no—
560#11924016—41no—
561#11924015—41no—
562#11924015—41no—
563#11924015—41no—
564D584—41no—
565D584—41no—
566#11924013—22no—
567#11924013—22no—
568#11924013—41no—
569#11924013—41no—
570#11924013—41no—
571#11924013—41no—
572#11924012—41no—
573#11924012—41no—
574#11924011—41no—
575#11924011—41no—
576C2×#10596831C2411yescharacteristic
577C2×#10596831C2411yescharacteristic
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588C4⋊Dic73C2411yescharacteristic
589C4⋊Dic73C2411yescharacteristic
590#11924007—21no—
591#11924007—21no—
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#11924007—21no—
601#11924007C2×D411yescharacteristic
602#11924007C2×D411yescharacteristic
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
618C22⋊Dic73C2×D411yescharacteristic
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
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#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73C2×D411yescharacteristic
642C4×Dic73C2×D411yescharacteristic
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C4×Dic73C2411yescharacteristic
650C24×C73—21no—
651C24×C73—21no—
652#41×C73—22no—
653#41×C73—41no—
654#41×C73—41no—
655#41×C73—41no—
656C2×Q8×C73C2411yescharacteristic
657C2×Q8×C73C2411yescharacteristic
658C2×D4×C73—22no—
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×C73C2×D411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73C2411yescharacteristic
678C22×C4×C73C2411yescharacteristic
679Q16×C73—41no—
680SD16×C73—22no—
681SD16×C73—41no—
682SD16×C73—41no—
683SD16×C73—41no—
684D8×C73—22no—
685D8×C73—22no—
686D8×C73—41no—
687D8×C73—41no—
688M16×C73—41no—
689M16×C73—41no—
690C2×C8×C73C2411yescharacteristic
691C2×C8×C73C2411yescharacteristic
692C2×C8×C73C2411yescharacteristic
693C2×C8×C73C2411yescharacteristic
694C4⋊C4×C73—21no—
695C4⋊C4×C73—21no—
696C4⋊C4×C73C2×D411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C4⋊C4×C73C2411yescharacteristic
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
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—42no—
717C23×C73—42no—
718C23×C73—42no—
719C23×C73—81no—
720C23×C73—81no—
721C23×C73—81no—
722C23×C73C22×D411yescharacteristic
723C23×C73C22×D411yescharacteristic
724C22×D73—21no—
725C22×D73—21no—
726C22×D73—21no—
727C22×D73—42no—
728C22×D73—42no—
729C22×D73—42no—
730C22×D73—81no—
731C22×D73—81no—
732C22×D73—81no—
733C22×D73C22×D411yescharacteristic
734Q8×C73—21no—
735Q8×C73—21no—
736Q8×C73—21no—
737Q8×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—21no—
743D4×C73—21no—
744D4×C73—21no—
745D4×C73—41no—
746D4×C73—42no—
747D4×C73—42no—
748D4×C73—81no—
749D4×C73—81no—
750D4×C73—81no—
751D4×C73—81no—
752D4×C73H(5,𝔽2)12yes—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—21no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73—81no—
764C2×C4×C73—81no—
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C22×D411yescharacteristic
768C2×C4×C73C22×D411yescharacteristic
769C2×C4×C73C2511yescharacteristic
770C22⋊D73—22no—
771C22⋊D73—41no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—42no—
779C22⋊D73—42no—
780C22⋊D73—42no—
781C22⋊D73—42no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C22⋊D73—81no—
786C22⋊D73—81no—
787C22⋊D73—81no—
788C22⋊D73—81no—
789C22⋊D73—81no—
790C2×Dic73—22no—
791C2×Dic73—22no—
792C2×Dic73—22no—
793C2×Dic73—21no—
794C2×Dic73—21no—
795C2×Dic73—21no—
796C2×Dic73—21no—
797C2×Dic73—21no—
798C2×Dic73—41no—
799C2×Dic73—42no—
800C2×Dic73—42no—
801C2×Dic73—42no—
802C2×Dic73—81no—
803C2×Dic73—81no—
804C2×Dic73—81no—
805C2×Dic73—81no—
806C2×Dic73—81no—
807C2×Dic73C22×D411yescharacteristic
808C2×Dic73C22×D411yescharacteristic
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814D292—21no—
815D292—21no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—81no—
821D292—81no—
822D292—81no—
823C4×D73—21no—
824C4×D73—21no—
825C4×D73—22no—
826C4×D73—41no—
827C4×D73—42no—
828C4×D73—81no—
829C4×D73—81no—
830C4×D73—81no—
831C4×D73—81no—
832C4×D73—81no—
833C4×D73—81no—
834Dic146—22no—
835Dic146—21no—
836Dic146—21no—
837Dic146—42no—
838Dic146—81no—
839C8×C73—21no—
840C8×C73—21no—
841C8×C73—21no—
842C8×C73—21no—
843#10596831—21no—
844#10596831—21no—
845#10596831—21no—
846#10596831—21no—
847C22×C73—22no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—21no—
852C22×C73—21no—
853C22×C73—21no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73—41no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—84no—
866C22×C73—162no—
867C22×C73C23×D411yescharacteristic
868C2×D73—21no—
869C2×D73—21no—
870C2×D73—21no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—41no—
874C2×D73—41no—
875C2×D73—41no—
876C2×D73—41no—
877C2×D73—41no—
878C2×D73—41no—
879C2×D73—41no—
880C2×D73—84no—
881C2×D73—162no—
882C4×C73—21no—
883C4×C73—21no—
884C4×C73—21no—
885C4×C73—21no—
886C4×C73—41no—
887C4×C73—41no—
888C4×C73—41no—
889C4×C73—41no—
890C4×C73C2×H(5,𝔽2)11yescharacteristic
891C4×C73#58511yescharacteristic
892Dic73—21no—
893Dic73—21no—
894Dic73—21no—
895Dic73—21no—
896Dic73—21no—
897Dic73—41no—
898Dic73—41no—
899Dic73—41no—
900Dic73—41no—
901Dic73—41no—
902Dic73#57512yes—
903Dic73#57612yes—
904#61995—731nomaximal, Sylow
905C2×C73—42no—
906C2×C73—41no—
907C2×C73—41no—
908C2×C73—81no—
909C2×C73—81no—
910C2×C73—81no—
911C2×C73#348811yescharacteristic
912C2×C73C2×#57511yescharacteristic
913C2×C73C2×#57611yescharacteristic
914D73—41no—
915D73—81no—
916D73—81no—
917D73—81no—
918#3508—731no—
919#3481—731no—
920#3396—731no—
921#3396—731no—
922#3361—731no—
923#3361—731no—
924#3333—731no—
925#3333—731no—
926#3322—731no—
927#3322—731no—
928#3322—731no—
929#3322—731no—
930#3274—731no—
931#3274—731no—
932#3273—731no—
933#3273—731no—
934#3273—731no—
935#3273D7311yescharacteristic, complemented
936#3254—731no—
937#3251—731no—
938#3251—731no—
939#3212—731no—
940#3212—731no—
941#3205—731no—
942#3107—731no—
943#3100—731no—
944#3100—731no—
945#3038—731no—
946#3036—731no—
947#3036—731no—
948#2991—731no—
949C73#6199511yescharacteristic, complemented, Sylow
950C2×AGL(1,ℤ/8)—731no—
951C2×AGL(1,ℤ/8)—731no—
952C2×AGL(1,ℤ/8)—731no—
953C2×AGL(1,ℤ/8)—731no—
954C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
955C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
956#559—731no—
957#559—731no—
958#559—731no—
959#559—1461no—
960#554—731no—
961#554—731no—
962#553—731no—
963#553—731no—
964#553—1461no—
965#551—1461no—
966#551—1461no—
967#550—731no—
968#550—731no—
969#550—1461no—
970#546—731no—
971#546—731no—
972#546—731no—
973#546—731no—
974#546—1461no—
975#546—1461no—
976#546—1461no—
977#546C2×D7311yescharacteristic
978#546C2×D7311yescharacteristic, complemented
979D42—731no—
980#540—1461no—
981#540—1461no—
982#535—1461no—
983#533—731no—
984#532—731no—
985#532—731no—
986#532—731no—
987#532—731no—
988#532—731no—
989C2×#127—731no—
990#529—731no—
991#529—731no—
992#529—1461no—
993#525—1461no—
994#525—1461no—
995#518—1461no—
996C4×#41—731no—
997C4×#41—731no—
998C2×C4×D4—731no—
999C2×C4×D4—731no—
1000C2×C4×D4—1461no—
1001#495—731no—
1002#495—731no—
1003#495—731no—
1004#495C2×D7311yescharacteristic, complemented
1005#493—731no—
1006#493—731no—
1007#488—731no—
1008#488—731no—
1009#488—731no—
1010#488—731no—
1011#486—731no—
1012#486—731no—
1013#485—731no—
1014#485—731no—
1015#480—731no—
1016#480—731no—
1017#480—731no—
1018#480—731no—
1019#478—731no—
1020#478—731no—
1021#478—731no—
1022#478—731no—
1023#477—731no—
1024#477—731no—
1025#475—731no—
1026#474—731no—
1027#474—731no—
1028#474—731no—
1029#469—731no—
1030#469—731no—
1031#469—731no—
1032#469—731no—
1033#468—731no—
1034#468—731no—
1035#468—731no—
1036#468—731no—
1037#468—731no—
1038#468—731no—
1039#468C2×D7311yescharacteristic, complemented
1040#468C2×D7311yescharacteristic, complemented
1041#463—731no—
1042#463—731no—
1043#463—731no—
1044#463—731no—
1045#463—731no—
1046#463—731no—
1047#463—731no—
1048#463—731no—
1049#463—731no—
1050#463—731no—
1051#463C2×D7311yescharacteristic, complemented
1052#463C2×D7311yescharacteristic, complemented
1053#462—731no—
1054#461—731no—
1055#461—731no—
1056#461—731no—
1057#460—731no—
1058#460—731no—
1059#460—731no—
1060#460—731no—
1061#460—731no—
1062#460—731no—
1063#459—731no—
1064#459—731no—
1065#459—731no—
1066#459—731no—
1067#459—731no—
1068#459—731no—
1069#459—731no—
1070#459—731no—
1071#452—731no—
1072#452—731no—
1073#452—731no—
1074#452—731no—
1075#452C2×D7311yescharacteristic
1076#452C2×D7311yescharacteristic, complemented
1077#449—731no—
1078#449—731no—
1079#449—731no—
1080#449—731no—
1081#447—731no—
1082#447—731no—
1083#447—731no—
1084#447—731no—
1085#447—731no—
1086#447—731no—
1087#447C2×D7311yescharacteristic, complemented
1088#447C2×D7311yescharacteristic, complemented
1089C8×Q8—731no—
1090C8×Q8—731no—
1091C4×Q16—731no—
1092C4×Q16—731no—
1093C4×SD16—731no—
1094C4×SD16—731no—
1095C4×D8—731no—
1096C4×D8—731no—
1097C4×D8—731no—
1098C4×D8—731no—
1099C4×D8—731no—
1100C4×D8—731no—
1101C4×D8—731no—
1102C4×D8C2×D7311yescharacteristic, complemented
1103#436—731no—
1104#436—731no—
1105#436—731no—
1106#436—731no—
1107#436—731no—
1108#436C2×D7311yescharacteristic, complemented
1109#431—731no—
1110#431—731no—
1111#431—731no—
1112#423—731no—
1113#423—731no—
1114#423—731no—
1115#418—731no—
1116#418—731no—
1117#417—731no—
1118#417—731no—
1119#417—731no—
1120#417—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—731no—
1125C2×#41—1461no—
1126C2×#41—1461no—
1127C2×#41—1461no—
1128C2×#41C22×D7311yescharacteristic
1129C2×#41C22×D7311yescharacteristic
1130C22×D4—731no—
1131C22×D4—731no—
1132C22×D4—1461no—
1133C22×D4—1461no—
1134C22×D4—1461no—
1135C22×D4C22×D7311yescharacteristic
1136C22×D4C22×D7311yescharacteristic
1137C23×C4—1461no—
1138C23×C4—1461no—
1139AGL(1,ℤ/8)—42no—
1140AGL(1,ℤ/8)—42no—
1141AGL(1,ℤ/8)—2922no—
1142AGL(1,ℤ/8)—2922no—
1143AGL(1,ℤ/8)—2922no—
1144AGL(1,ℤ/8)—2922no—
1145C2×Q16—731no—
1146C2×Q16C22×D7311yescharacteristic
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16—731no—
1152C2×SD16—731no—
1153C2×SD16C22×D7311yescharacteristic
1154C2×SD16C22×D7311yescharacteristic
1155C2×SD16C22×D7311yescharacteristic
1156C2×SD16C22×D7311yescharacteristic
1157C2×D8—731no—
1158C2×D8—731no—
1159C2×D8—731no—
1160C2×D8—731no—
1161C2×D8—731no—
1162C2×D8—731no—
1163C2×D8—731no—
1164C2×D8—731no—
1165C2×D8C22×D7311yescharacteristic
1166C2×D8C22×D7311yescharacteristic
1167C2×D8C22×D7311yescharacteristic
1168C2×D8C22×D7311yescharacteristic
1169C2×M16—731no—
1170C2×M16—731no—
1171C2×M16—731no—
1172C2×M16—731no—
1173C2×M16C22×D7311yescharacteristic
1174C2×M16C22×D7311yescharacteristic
1175C4⋊Q8—731no—
1176C4⋊Q8—731no—
1177C4⋊Q8—731no—
1178#127—731no—
1179#127—731no—
1180#127—731no—
1181#127—731no—
1182#127—731no—
1183#127—1461no—
1184#127—1461no—
1185#127—1461no—
1186#127—1461no—
1187#126—1461no—
1188#126—1461no—
1189#126—1461no—
1190#126—1461no—
1191#125—731no—
1192#125—731no—
1193#125—1461no—
1194#125—1461no—
1195#124—731no—
1196#124—731no—
1197#124—731no—
1198#124—731no—
1199#124—1461no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#124C22×D7311yescharacteristic
1206#124C22×D7311yescharacteristic
1207#123—21no—
1208#123—21no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213#123—1461no—
1214#123—1461no—
1215#123—1461no—
1216#123—1461no—
1217#123—1461no—
1218#123—1461no—
1219#123—1461no—
1220#123—1461no—
1221#123—1461no—
1222#123—1461no—
1223C22⋊Q8—731no—
1224C22⋊Q8—731no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228C22⋊Q8—1461no—
1229C22⋊Q8—1461no—
1230C22⋊Q8—1461no—
1231C22⋊Q8C22×D7311yescharacteristic
1232C22⋊Q8C22×D7311yescharacteristic
1233#121—21no—
1234#121—21no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—731no—
1240#121—731no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121—1461no—
1258#121—1461no—
1259#121C22×D7311yescharacteristic
1260#121C22×D7311yescharacteristic
1261#120—21no—
1262#120—21no—
1263#120—1461no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—731no—
1274C4×Q8—731no—
1275C4×Q8—1461no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—731no—
1286C4×D4—731no—
1287C4×D4—731no—
1288C4×D4—731no—
1289C4×D4—731no—
1290C4×D4—731no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4—1461no—
1304C4×D4—1461no—
1305C4×D4—1461no—
1306C4×D4—1461no—
1307C4×D4—1461no—
1308C4×D4—1461no—
1309C4×D4—1461no—
1310C4×D4—1461no—
1311C4×D4—1461no—
1312C4×D4—1461no—
1313C4×D4—1461no—
1314C4×D4C22×D7311yescharacteristic
1315C4×D4C22×D7311yescharacteristic
1316C4×D4C22×D7311yescharacteristic
1317#117—731no—
1318#117—731no—
1319#117—731no—
1320#117—731no—
1321#117—1461no—
1322#117—1461no—
1323#117—1461no—
1324#117—1461no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—1461no—
1331C2×C22⋊C4—1461no—
1332C2×C22⋊C4—1461no—
1333C2×C22⋊C4—1461no—
1334C2×C22⋊C4—1461no—
1335C2×C22⋊C4—1461no—
1336C2×C42—731no—
1337C2×C42—731no—
1338C2×C42—731no—
1339C2×C42—1461no—
1340#107—731no—
1341#107—731no—
1342#107—731no—
1343#107—731no—
1344#107—731no—
1345#107C22×D7311yescharacteristic
1346#106—731no—
1347#106—731no—
1348C4⋊C8—731no—
1349C4⋊C8—731no—
1350C4⋊C8—731no—
1351C4⋊C8—731no—
1352C4⋊C8—731no—
1353C4⋊C8—731no—
1354C4⋊C8—731no—
1355C4⋊C8—731no—
1356C4⋊C8—731no—
1357C4⋊C8C22×D7311yescharacteristic
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103—731no—
1364#103—731no—
1365#103—731no—
1366#103C22×D7311yescharacteristic
1367#103C22×D7311yescharacteristic
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
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#102C22×D7311yescharacteristic
1387#102C22×D7311yescharacteristic
1388#102C22×D7311yescharacteristic
1389#102C22×D7311yescharacteristic
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8—731no—
1393C22⋊C8—731no—
1394C22⋊C8C22×D7311yescharacteristic
1395C22⋊C8C22×D7311yescharacteristic
1396C4×C8—731no—
1397C4×C8—731no—
1398C4×C8—731no—
1399C4×C8—731no—
1400C4×C8—731no—
1401C4×C8C22×D7311yescharacteristic
1402C24—21no—
1403C24—21no—
1404C24—1461no—
1405C24—1461no—
1406#41—22no—
1407#41—41no—
1408#41—41no—
1409#41—41no—
1410#41—2921no—
1411#41—2921no—
1412#41—2922no—
1413#41—2921no—
1414#41—2921no—
1415#41—2921no—
1416#41—2921no—
1417#41—5842no—
1418#41—5842no—
1419#41—5842no—
1420C2×Q8—731no—
1421C2×Q8—731no—
1422C2×Q8—1461no—
1423C2×Q8—1461no—
1424C2×Q8C23×D7311yescharacteristic
1425C2×Q8C23×D7311yescharacteristic
1426C2×D4—22no—
1427C2×D4—21no—
1428C2×D4—21no—
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—21no—
1432C2×D4—21no—
1433C2×D4—41no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—2921no—
1437C2×D4—2921no—
1438C2×D4—2924no—
1439C2×D4—2921no—
1440C2×D4—2924no—
1441C2×D4—5842no—
1442C2×D4—731no—
1443C2×D4—731no—
1444C2×D4—731no—
1445C2×D4—731no—
1446C2×D4—731no—
1447C2×D4—1461no—
1448C2×D4—1461no—
1449C2×D4—1461no—
1450C2×D4—1461no—
1451C2×D4—1461no—
1452C2×D4—1461no—
1453C2×D4—1461no—
1454C2×D4—1461no—
1455C2×D4—1461no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1461no—
1459C2×D4—1461no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1462no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4D4×D7311yescharacteristic
1470C2×D4C23×D7311yescharacteristic
1471C2×D4C23×D7311yescharacteristic
1472C2×D4C23×D7311yescharacteristic
1473C2×D4C23×D7311yescharacteristic
1474C22×C4—21no—
1475C22×C4—21no—
1476C22×C4—21no—
1477C22×C4—21no—
1478C22×C4—5842no—
1479C22×C4—5842no—
1480C22×C4—731no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1461no—
1493C22×C4—1461no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4C23×D7311yescharacteristic
1503C22×C4C23×D7311yescharacteristic
1504Q16—41no—
1505Q16—2921no—
1506SD16—22no—
1507SD16—41no—
1508SD16—41no—
1509SD16—41no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—2921no—
1514SD16—2921no—
1515SD16—1462no—
1516D8—22no—
1517D8—22no—
1518D8—41no—
1519D8—41no—
1520D8—2921no—
1521D8—2921no—
1522D8—2921no—
1523D8—2921no—
1524D8—2921no—
1525D8—2921no—
1526D8—1462no—
1527D8—1462no—
1528M16—41no—
1529M16—41no—
1530M16—2921no—
1531M16—2921no—
1532M16—2921no—
1533M16—2921no—
1534C2×C8—731no—
1535C2×C8—731no—
1536C2×C8—731no—
1537C2×C8—731no—
1538C2×C8C23×D7311yescharacteristic
1539C2×C8C23×D7311yescharacteristic
1540C2×C8C23×D7311yescharacteristic
1541C2×C8C23×D7311yescharacteristic
1542C4⋊C4—21no—
1543C4⋊C4—21no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—731no—
1549C4⋊C4—731no—
1550C4⋊C4—731no—
1551C4⋊C4—731no—
1552C4⋊C4—731no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4—1461no—
1569C4⋊C4D4×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—21no—
1581C22⋊C4—21no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—731no—
1586C22⋊C4—1461no—
1587C22⋊C4—1461no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1614C22⋊C4D4×D7311yescharacteristic
1615C42—731no—
1616C42—731no—
1617C42—731no—
1618C42—731no—
1619C42—731no—
1620C42—731no—
1621C42—731no—
1622C42—731no—
1623C42—731no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42—1461no—
1629C42C23×D7311yescharacteristic
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—42no—
1635C23—42no—
1636C23—42no—
1637C23—81no—
1638C23—81no—
1639C23—81no—
1640C23—2922no—
1641C23—2922no—
1642C23—2922no—
1643C23—5841no—
1644C23—5841no—
1645C23—5841no—
1646C23—731no—
1647C23—1461no—
1648C23—1461no—
1649C23—1461no—
1650C23C2×D4×D7311yescharacteristic
1651C23C2×D4×D7311yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—2922no—
1657Q8—5841no—
1658Q8—1462no—
1659Q8—1461no—
1660Q8—1461no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—21no—
1665D4—21no—
1666D4—21no—
1667D4—21no—
1668D4—41no—
1669D4—42no—
1670D4—42no—
1671D4—81no—
1672D4—81no—
1673D4—81no—
1674D4—81no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2922no—
1680D4—2922no—
1681D4—2922no—
1682D4—2922no—
1683D4—2921no—
1684D4—2922no—
1685D4—2922no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—5841no—
1692D4—5841no—
1693D4—5841no—
1694D4—5841no—
1695D4—5841no—
1696D4—5841no—
1697D4—1462no—
1698D4—1461no—
1699D4—1461no—
1700D4—1461no—
1701D4—1461no—
1702D4—1461no—
1703D4—1461no—
1704D4#1455663612yes—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—42no—
1714C2×C4—81no—
1715C2×C4—81no—
1716C2×C4—81no—
1717C2×C4—2921no—
1718C2×C4—2922no—
1719C2×C4—2922no—
1720C2×C4—2922no—
1721C2×C4—2922no—
1722C2×C4—2921no—
1723C2×C4—5841no—
1724C2×C4—5841no—
1725C2×C4—5841no—
1726C2×C4—5841no—
1727C2×C4—5841no—
1728C2×C4—5841no—
1729C2×C4—5841no—
1730C2×C4—5841no—
1731C2×C4—5841no—
1732C2×C4—5841no—
1733C2×C4—5841no—
1734C2×C4—731no—
1735C2×C4—731no—
1736C2×C4—731no—
1737C2×C4—731no—
1738C2×C4—731no—
1739C2×C4—731no—
1740C2×C4—731no—
1741C2×C4—1462no—
1742C2×C4—1461no—
1743C2×C4—1461no—
1744C2×C4—1461no—
1745C2×C4—1461no—
1746C2×C4—1461no—
1747C2×C4—1462no—
1748C2×C4—1462no—
1749C2×C4—1462no—
1750C2×C4—1461no—
1751C2×C4—1461no—
1752C2×C4C2×D4×D7311yescharacteristic
1753C2×C4C2×D4×D7311yescharacteristic
1754C2×C4C2×D4×D7311yescharacteristic
1755C2×C4C2×D4×D7311yescharacteristic
1756C2×C4C24×D7311yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—1461no—
1762C8—1461no—
1763C8—1461no—
1764C8—1461no—
1765C22—21no—
1766C22—21no—
1767C22—22no—
1768C22—21no—
1769C22—21no—
1770C22—21no—
1771C22—21no—
1772C22—41no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—84no—
1784C22—162no—
1785C22—2921no—
1786C22—2921no—
1787C22—2921no—
1788C22—2921no—
1789C22—2921no—
1790C22—2921no—
1791C22—2921no—
1792C22—2921no—
1793C22—2921no—
1794C22—5844no—
1795C22—11682no—
1796C22—1461no—
1797C22—1461no—
1798C22—1461no—
1799C22C22×D4×D7311yescharacteristic
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—2921no—
1809C4—2921no—
1810C4—2921no—
1811C4—2921no—
1812C4—2921no—
1813C4—732no—
1814C4—732no—
1815C4—1461no—
1816C4—1461no—
1817C4—1461no—
1818C4—1461no—
1819C4—1461no—
1820C4C2×#1455663611yescharacteristic
1821C4#1798942211yescharacteristic
1822C2—41no—
1823C2—41no—
1824C2—42no—
1825C2—81no—
1826C2—81no—
1827C2—81no—
1828C2—2921no—
1829C2—5841no—
1830C2—5841no—
1831C2—5841no—
1832C2#2262359111yescharacteristic
1833C2#575×D7311yescharacteristic
1834C2#576×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3273C2
socleC22×C73C23×D4
hypercenter#3273D73
hypocenterC73#61995
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623536C2semidirect
3. #22622940C2semidirect
4. #22622938C2semidirect
5. #22622592C2semidirect
6. #22622586C2semidirect
7. #22622264C2semidirect
8. #22622262C2semidirect
9. #22622138C2semidirect
10. #22622136C2semidirect
11. #22622134C2semidirect
12. #22622132C2semidirect
13. #22621549C2semidirect
14. #22621545C2semidirect
15. #22621538C2semidirect
16. #22621536C2semidirect
17. #22621535C2semidirect
18. #22621313C2semidirect
19. #22621290C2semidirect
20. #22621288C2semidirect
21. #22620910C2semidirect
22. #22620902C2semidirect
23. #22620847C2semidirect
24. #22619995C2semidirect
25. #22619929C2semidirect
26. #22619926C2semidirect
27. #22619409C2semidirect
28. #22619393C2semidirect
29. #22619392C2semidirect
30. #22619059C2semidirect
31. C73×#3273C2semidirect
32. C2×#14556618C22semidirect
33. C2×#14556617C22semidirect
35. C2×#14556615C22semidirect
37. #17989320C22semidirect
38. #17989319C22semidirect
39. #17989319C22semidirect
40. #17989296C22semidirect
41. #17989295C22semidirect
50. #17989233C22semidirect
51. #17989231C22semidirect
52. #17989228C22semidirect
57. D4×C22⋊D73C22semidirect
61. #17989139C22semidirect
62. #17989136C22semidirect
63. #17989134C22semidirect
64. #17989133C22semidirect
66. #17989132C22semidirect
67. C2×#14556587C22semidirect
68. #17989123C22semidirect
69. #17989116C22semidirect
76. C2×D4×Dic73C22semidirect
78. C4×D4×D73C22semidirect
79. #17988972C22semidirect
80. #17988969C22semidirect
81. #17988968C22semidirect
84. #17988943C22semidirect
85. #17988942C22semidirect
86. #17988941C22semidirect
87. #17988940C22semidirect
88. #17988932C22semidirect
89. #17988932C22semidirect
90. #17988929C22semidirect
91. #17988925C22semidirect
92. #17988902C22semidirect
93. #17988901C22semidirect
94. #17988899C22semidirect
95. #17988898C22semidirect
96. #17988890C22semidirect
97. #17988889C22semidirect
98. #17988888C22semidirect
99. #17988887C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988870C22semidirect
103. #17988866C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
106. #17988840C22semidirect
107. #17988839C22semidirect
108. #17988838C22semidirect
109. #17988837C22semidirect
110. #17988836C22semidirect
111. #17988835C22semidirect
112. #17988835C22semidirect
113. #17988833C22semidirect
114. #17988831C22semidirect
115. #17988830C22semidirect
116. #17988805C22semidirect
117. #17988804C22semidirect
118. #17988804C22semidirect
119. #17988804C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
122. #17988800C22semidirect
123. #17988800C22semidirect
124. #17988799C22semidirect
125. #17988799C22semidirect
126. #17988795C22semidirect
127. #17988791C22semidirect
128. #17988790C22semidirect
129. #17988790C22semidirect
130. #17988786C22semidirect
131. #17988785C22semidirect
132. #17988785C22semidirect
133. #17988785C22semidirect
134. #17988785C22semidirect
135. #17988785C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
145. #17988748C22semidirect
146. #17988747C22semidirect
147. #17988746C22semidirect
148. #17988734C22semidirect
149. #17988732C22semidirect
150. #17988731C22semidirect
151. #17988729C22semidirect
152. #17988723C22semidirect
153. #17988722C22semidirect
154. #17988721C22semidirect
155. #17988721C22semidirect
156. #17988720C22semidirect
157. #17988719C22semidirect
158. C8×Dic146C22semidirect
159. #17988711C22semidirect
160. Q16×Dic73C22semidirect
161. #17988679C22semidirect
162. #17988678C22semidirect
163. SD16×Dic73C22semidirect
164. C4×D584C22semidirect
165. D8×Dic73C22semidirect
166. D8×Dic73C22semidirect
167. C4×#11924013C22semidirect
168. C4×#11924013C22semidirect
169. #17988667C22semidirect
170. #17988667C22semidirect
171. #17988665C22semidirect
172. #17988663C22semidirect
173. #17988663C22semidirect
174. #17988662C22semidirect
175. #17988662C22semidirect
176. #17988638C22semidirect
177. #17988637C22semidirect
178. #17988637C22semidirect
179. #17988610C22semidirect
180. #17988610C22semidirect
181. #17988609C22semidirect
182. #17988593C22semidirect
183. #17988592C22semidirect
184. #17988589C22semidirect
185. #17988588C22semidirect
186. #17988587C22semidirect
187. #17988585C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #468×C73C22semidirect
194. #468×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
198. #452×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #436×C73C22semidirect
935. #3273D73semidirect
949. C73#61995semidirect
955. C2×AGL(1,ℤ/8)C2×D73semidirect
978. #546C2×D73semidirect
1004. #495C2×D73semidirect
1039. #468C2×D73semidirect
1040. #468C2×D73semidirect
1051. #463C2×D73semidirect
1052. #463C2×D73semidirect
1076. #452C2×D73semidirect
1087. #447C2×D73semidirect
1088. #447C2×D73semidirect
1102. C4×D8C2×D73semidirect
1108. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235362
#226229402
#226229382
#226225922
#226225862
#226222642
#226222622
#226221382
#226221362
#226221342
#226221322
#226215492
#226215452
#226215382
#226215362
#226215352
#226213132
#226212902
#226212882
#226209102
#226209022
#226208472
#226199952
#226199292
#226199262
#226194092
#226193932
#226193922
#226190592
C73×#32732
#6199573