Finite Group Databasebeta

← #33979757

Subgroups — #33979757

Order 18688.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624298C211yesmaximal, characteristic, complemented
2#22624029C211yesmaximal, characteristic, complemented
3#22622992C211yesmaximal, characteristic, complemented
4#22622977C211yesmaximal, characteristic, complemented
5#22622777C211yesmaximal, characteristic, complemented
6#22622661C211yesmaximal, characteristic, complemented
7#22622093C211yesmaximal, characteristic, complemented
8#22622076C211yesmaximal, characteristic, complemented
9#22622059C211yesmaximal, characteristic, complemented
10#22621902C211yesmaximal, characteristic, complemented
11#22621874C211yesmaximal, characteristic, complemented
12#22621766C211yesmaximal, characteristic, complemented
13#22621687C211yesmaximal, characteristic, complemented
14#22621641C211yesmaximal, characteristic, complemented
15#22621516C211yesmaximal, characteristic, complemented
16#22621479C211yesmaximal, characteristic, complemented
17#22621420C211yesmaximal, characteristic, complemented
18#22621388C211yesmaximal, characteristic, complemented
19#22621338C211yesmaximal, characteristic, complemented
20#22621250C211yesmaximal, characteristic, complemented
21#22621021C211yesmaximal, characteristic, complemented
22#22620976C211yesmaximal, characteristic, complemented
23#22620966C211yesmaximal, characteristic, complemented
24#22620201C211yesmaximal, characteristic, complemented
25#22620158C211yesmaximal, characteristic, complemented
26#22620075C211yesmaximal, characteristic, complemented
27#22619474C211yesmaximal, characteristic, complemented
28#22619450C211yesmaximal, characteristic, complemented
29#22619382C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3268C211yesmaximal, characteristic, complemented
32C2×#14556623C2211yescharacteristic, complemented
33C2×#14556611C2211yescharacteristic, complemented
34C2×#14556611C2211yescharacteristic, complemented
35C2×SD16×D73C2211yescharacteristic
36#17989326—21no—
37#17989325—21no—
38#17989323—21no—
39#17989323C2211yescharacteristic, complemented
40#17989313C2211yescharacteristic, complemented
41#17989306C2211yescharacteristic
42#17989301—21no—
43#17989301C2211yescharacteristic, complemented
44#17989289—21no—
45#17989289C2211yescharacteristic
46#17989282—21no—
47#17989277—21no—
48#17989277C2211yescharacteristic, complemented
49#17989258C2211yescharacteristic
50#17989258C2211yescharacteristic
51#17989256C2211yescharacteristic
52#17989244C2211yescharacteristic
53#17989244C2211yescharacteristic, complemented
54#17989239C2211yescharacteristic
55#17989234C2211yescharacteristic
56#17989227—21no—
57D4×C22⋊D73C2211yescharacteristic
58#17989210C2211yescharacteristic
59#17989204—21no—
60#17989204C2211yescharacteristic, complemented
61#17989202C2211yescharacteristic
62#17989191—21no—
63#17989191C2211yescharacteristic, complemented
64#17989175—21no—
65#17989173—21no—
66#17989166—21no—
67#17989155C2211yescharacteristic
68#17989154C2211yescharacteristic
69#17989152—21no—
70#17989133C2211yescharacteristic
71#17989132C2211yescharacteristic
72#17989118—21no—
73#17989118C2211yescharacteristic, complemented
74#17989117—21no—
75#17989117C2211yescharacteristic
76#17989070C2211yescharacteristic, complemented
77#17989063C2211yescharacteristic, complemented
78#41×Dic73C2211yescharacteristic, complemented
79#17988978C2211yescharacteristic, complemented
80#17988975C2211yescharacteristic
81#17988975C2211yescharacteristic, complemented
82#17988970C2211yescharacteristic
83#17988963C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988952C2211yescharacteristic, complemented
86#17988950C2211yescharacteristic
87#17988945C2211yescharacteristic
88#17988941C2211yescharacteristic
89#17988932C2211yescharacteristic, complemented
90#17988930C2211yescharacteristic, complemented
91#17988915C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic
94#17988908C2211yescharacteristic
95#17988906C2211yescharacteristic
96#17988895C2211yescharacteristic, complemented
97#17988890C2211yescharacteristic, complemented
98#17988889C2211yescharacteristic
99#17988887C2211yescharacteristic, complemented
100#17988881C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988875C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic
107#17988833C2211yescharacteristic
108#17988832C2211yescharacteristic, complemented
109#17988826C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic
111#17988821C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic
113#17988816C2211yescharacteristic, complemented
114#17988815C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic
116#17988812C2211yescharacteristic, complemented
117#17988811C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic
120#17988807C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic
123#17988804C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988801C2211yescharacteristic, complemented
126#17988801C2211yescharacteristic, complemented
127#17988800C2211yescharacteristic
128#17988800C2211yescharacteristic
129#17988800C2211yescharacteristic, complemented
130#17988800C2211yescharacteristic, complemented
131#17988795C2211yescharacteristic, complemented
132#17988790C2211yescharacteristic, complemented
133#17988788C2211yescharacteristic, complemented
134#17988787C2211yescharacteristic, complemented
135#17988786C2211yescharacteristic
136#17988785C2211yescharacteristic
137#17988785C2211yescharacteristic
138#17988785C2211yescharacteristic, complemented
139#17988784C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic
141#17988780C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic, complemented
144#17988751C2211yescharacteristic, complemented
145#17988751C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988744C2211yescharacteristic, complemented
148#17988738C2211yescharacteristic
149#17988732C2211yescharacteristic
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988730C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988724C2211yescharacteristic
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic
158#17988715C2211yescharacteristic, complemented
159#17988714C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic
161#17988696C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988695C2211yescharacteristic, complemented
164#17988694C2211yescharacteristic, complemented
165#17988690C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic
167C4×#11924018C2211yescharacteristic, complemented
168SD16×Dic73C2211yescharacteristic, complemented
169C4×#11924016C2211yescharacteristic, complemented
170#17988672C2211yescharacteristic, complemented
171#17988658C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173#17988655C2211yescharacteristic
174D4×#10596831C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988641C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988589C2211yescharacteristic, complemented
184#17988584C2211yescharacteristic, complemented
185#17988583C2211yescharacteristic, complemented
186#17988582C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#550×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#496×C73C2211yescharacteristic
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic
196#459×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×Q8×D73C2311yescharacteristic
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211#14556623—42no—
212#14556611—42no—
213#14556611—42no—
214C2×Dic292C2311yescharacteristic
215C2×#11924018C2311yescharacteristic
216C2×#11924018C2311yescharacteristic
217C2×#11924017C2311yescharacteristic
218C2×#11924017C2311yescharacteristic
219C2×#11924016C2311yescharacteristic
220C2×#11924016C2311yescharacteristic
221C2×#11924016C2311yescharacteristic
222C2×#11924016C2311yescharacteristic
223C2×#11924015C2311yescharacteristic
224C2×#11924015C2311yescharacteristic
225SD16×D73—42no—
226C2×#11924013C2311yescharacteristic
227C2×#11924013C2311yescharacteristic
228C2×#11924013C2311yescharacteristic
229C2×#11924013C2311yescharacteristic
230C2×#11924011C2311yescharacteristic
231C22×#10596831C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556590—21no—
235#14556590C2311yescharacteristic
236#14556590C2311yescharacteristic
237#14556589C2311yescharacteristic
238#14556588C2311yescharacteristic
239#14556587—21no—
240#14556587—21no—
241#14556587C2311yescharacteristic
242#14556587C2311yescharacteristic
243#14556587C2311yescharacteristic
244#14556586—21no—
245#14556586D411yescharacteristic
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584D411yescharacteristic
254#14556583—21no—
255#14556583C2311yescharacteristic
256#14556582—21no—
257#14556582C2311yescharacteristic
258#14556581—21no—
259#14556581D411yescharacteristic
260#14556580C2311yescharacteristic
261#14556578—21no—
262#14556578—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556577—21no—
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577D411yescharacteristic
275#14556576—21no—
276#14556575—21no—
277#14556575D411yescharacteristic
278#14556574—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556572—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572D411yescharacteristic
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556570—21no—
293#14556570—21no—
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556568—21no—
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556565—21no—
301#14556565—21no—
302#14556565C2311yescharacteristic
303#14556565C2311yescharacteristic
304#14556564—21no—
305#14556564—21no—
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556563—21no—
312#14556563—21no—
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563D411yescharacteristic
320#14556562—21no—
321#14556562—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556561—21no—
330#14556561—21no—
331#14556560—21no—
332#14556560—21no—
333#14556560—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339Q8×Dic73C2311yescharacteristic
340C4×Dic146—21no—
341C4×Dic146—21no—
342C4×Dic146C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344C4×Dic146C2311yescharacteristic
345#14556556—21no—
346#14556556C2311yescharacteristic
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359#14556553—21no—
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73C2311yescharacteristic
368C4×C22⋊D73C2311yescharacteristic
369#14556551—21no—
370#14556550—21no—
371#14556550—21no—
372#14556550C2311yescharacteristic
373#14556550C2311yescharacteristic
374#14556549—21no—
375#14556549C2311yescharacteristic
376#14556548—21no—
377#14556548C2311yescharacteristic
378#14556547—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382C2×C4⋊Dic73—21no—
383C2×C4⋊Dic73C2311yescharacteristic
384C4⋊C4×D73—21no—
385C22⋊C4×D73—21no—
386C2×C4×Dic73—21no—
387C2×C4×Dic73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437C4×#10596831C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443AGL(1,ℤ/8)×C73—42no—
444#135×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
455C22×C8×C73C2311yescharacteristic
456#127×C73—21no—
457#127×C73C2311yescharacteristic
458#124×C73C2311yescharacteristic
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461#121×C73—21no—
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#121×C73C2311yescharacteristic
467#120×C73—21no—
468C4×Q8×C73C2311yescharacteristic
469C4×D4×C73—21no—
470C4×D4×C73C2311yescharacteristic
471C4×D4×C73C2311yescharacteristic
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
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—41no—
490#11924028—41no—
491#11924028—82no—
492#11924027—82no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146C2×D411yescharacteristic
497C2×Dic146C2411yescharacteristic
498C2×Dic146C2411yescharacteristic
499Q8×D73—22no—
500Q8×D73—41no—
501C2×D292—21no—
502C2×D292—21no—
503C2×D292—21no—
504C2×D292C2411yescharacteristic
505C2×D292C2411yescharacteristic
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—82no—
521C2×C22⋊D73C2×D411yescharacteristic
522C2×C22⋊D73C2×D411yescharacteristic
523D4×D73—41no—
524D4×D73—41no—
525C22×Dic73—21no—
526C22×Dic73—21no—
527C22×Dic73—21no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C22×Dic73—21no—
531C22×Dic73C2×D411yescharacteristic
532C22×Dic73C2×D411yescharacteristic
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73C2411yescharacteristic
540Dic292—41no—
541#11924018—22no—
542#11924018—41no—
543#11924017—41no—
544#11924017—41no—
545#11924016—41no—
546#11924016—41no—
547#11924016—41no—
548#11924016—41no—
549#11924015—22no—
550#11924015—22no—
551#11924013—41no—
552#11924013—41no—
553#11924013—41no—
554#11924013—41no—
555#11924011—41no—
556C2×#10596831—41no—
557C2×#10596831—41no—
558C2×#10596831C2411yescharacteristic
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C8×D73—41no—
563C4⋊Dic73—21no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73C2×D411yescharacteristic
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
614C22⋊Dic73C2×D411yescharacteristic
615C22⋊Dic73C2×D411yescharacteristic
616C22⋊Dic73C2×D411yescharacteristic
617C22⋊Dic73C2×D411yescharacteristic
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645#41×C73—22no—
646#41×C73—22no—
647#41×C73—41no—
648#41×C73—41no—
649#41×C73—41no—
650#41×C73—41no—
651C2×Q8×C73C2411yescharacteristic
652C2×Q8×C73C2411yescharacteristic
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—21no—
660C2×D4×C73—21no—
661C2×D4×C73—21no—
662C2×D4×C73—41no—
663C2×D4×C73—41no—
664C2×D4×C73C2×D411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C2×D4×C73C2411yescharacteristic
668C2×D4×C73C2411yescharacteristic
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—22no—
676SD16×C73—22no—
677SD16×C73—22no—
678SD16×C73—41no—
679SD16×C73—41no—
680D8×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683D8×C73—41no—
684M16×C73—41no—
685C2×C8×C73—41no—
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C2×C8×C73C2411yescharacteristic
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73C2×D411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73C2×D411yescharacteristic
703C22⋊C4×C73C2×D411yescharacteristic
704C42×C73—21no—
705C42×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—81no—
711C23×C73—81no—
712C23×C73—81no—
713C23×C73C22×D411yescharacteristic
714C23×C73C22×D411yescharacteristic
715C22×D73—21no—
716C22×D73—21no—
717C22×D73—81no—
718C22×D73—81no—
719C22×D73—81no—
720C22×D73C22×D411yescharacteristic
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—21no—
724Q8×C73H(5,𝔽2)12yes—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—41no—
734D4×C73—42no—
735D4×C73—42no—
736D4×C73—81no—
737D4×C73—81no—
738D4×C73—81no—
739D4×C73—81no—
740D4×C73—81no—
741D4×C73—81no—
742D4×C73—81no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—21no—
747C2×C4×C73—21no—
748C2×C4×C73—21no—
749C2×C4×C73—21no—
750C2×C4×C73—21no—
751C2×C4×C73—42no—
752C2×C4×C73—42no—
753C2×C4×C73—81no—
754C2×C4×C73—81no—
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C22×D411yescharacteristic
757C2×C4×C73C22×D411yescharacteristic
758C2×C4×C73C22×D411yescharacteristic
759C2×C4×C73C2511yescharacteristic
760C22⋊D73—41no—
761C22⋊D73—41no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C22⋊D73—81no—
773C22⋊D73—81no—
774C22⋊D73—81no—
775C22⋊D73—81no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—21no—
782C2×Dic73—41no—
783C2×Dic73—41no—
784C2×Dic73—42no—
785C2×Dic73—81no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73—81no—
789C2×Dic73—81no—
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795C2×Dic73C22×D411yescharacteristic
796C2×Dic73C22×D411yescharacteristic
797D292—21no—
798D292—21no—
799D292—21no—
800D292—21no—
801D292—81no—
802D292—81no—
803D292—81no—
804C4×D73—21no—
805C4×D73—21no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—41no—
817Dic146—42no—
818Dic146—81no—
819Dic146—81no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73—21no—
823C8×C73—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827#10596831—21no—
828C22×C73—21no—
829C22×C73—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—41no—
835C22×C73—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—41no—
845C22×C73—41no—
846C22×C73—162no—
847C22×C73C23×D411yescharacteristic
848C2×D73—21no—
849C2×D73—21no—
850C2×D73—21no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—41no—
857C2×D73—162no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—22no—
861C4×C73—21no—
862C4×C73—21no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73—41no—
881#62026—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73—81no—
888C2×C73#348811yescharacteristic
889C2×C73#358411yescharacteristic
890C2×C73#358511yescharacteristic
891D73—41no—
892D73—81no—
893D73—81no—
894#3546—731no—
895#3524—731no—
896#3401—731no—
897#3399—731no—
898#3377—731no—
899#3368—731no—
900#3319—731no—
901#3318—731no—
902#3317—731no—
903#3307—731no—
904#3305—731no—
905#3296—731no—
906#3287—731no—
907#3282—731no—
908#3271—731no—
909#3269—731no—
910#3268D7311yescharacteristic, complemented
911#3265—731no—
912#3262—731no—
913#3257—731no—
914#3247—731no—
915#3224—731no—
916#3220—731no—
917#3219—731no—
918#3125—731no—
919#3121—731no—
920#3115—731no—
921#3045—731no—
922#3043—731no—
923#3035—731no—
924#2992—731no—
925C73#6202611yescharacteristic, complemented, Sylow
926C2×#137—731no—
927C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
928C2×#135—731no—
929C2×#135—731no—
930C2×#135C2×D7311yescharacteristic, complemented
931C22×SD16—731no—
932#560—1461no—
933#560—1461no—
934#559—731no—
935#559—1461no—
936#557—731no—
937#556—731no—
938#555—731no—
939#555—1461no—
940#553—731no—
941#553—1461no—
942#553—1461no—
943#552—731no—
944#552—1461no—
945#550—731no—
946#550—731no—
947#550—731no—
948#550C2×D7311yescharacteristic, complemented
949#548—731no—
950#548—731no—
951#547—731no—
952#546—731no—
953#546—1461no—
954#546C2×D7311yescharacteristic
955D42—731no—
956#542—731no—
957#542—731no—
958#542—731no—
959#542—1461no—
960#540—731no—
961#540—1461no—
962#538—1461no—
963#538—1461no—
964#537—1461no—
965#535—731no—
966#535—731no—
967#535—1461no—
968#532—731no—
969#532—731no—
970#529—731no—
971#529—731no—
972#529—1461no—
973#529—1461no—
974#520—731no—
975#519—731no—
976C4×#41—731no—
977#497—731no—
978#496—731no—
979#496—731no—
980#496C2×D7311yescharacteristic
981#495—731no—
982#493—731no—
983#491—731no—
984#490—731no—
985#490—731no—
986#489—731no—
987#488—731no—
988#486—731no—
989#485—731no—
990#483—731no—
991#482—731no—
992#482—731no—
993#482—731no—
994#481—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#478—731no—
999#477—731no—
1000#477—731no—
1001#476—731no—
1002#475—731no—
1003#474—731no—
1004#474—731no—
1005#469—731no—
1006#468—731no—
1007#468—731no—
1008#468C2×D7311yescharacteristic, complemented
1009#467—731no—
1010#466—731no—
1011#466—731no—
1012#466—731no—
1013#466C2×D7311yescharacteristic
1014#465—731no—
1015#465—731no—
1016#465—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—731no—
1024#464C2×D7311yescharacteristic
1025#463—731no—
1026#463—731no—
1027#463—731no—
1028#463—731no—
1029#463—731no—
1030#463—731no—
1031#463—731no—
1032#463—731no—
1033#462—731no—
1034#461—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#459C2×D7311yescharacteristic, complemented
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452C2×D7311yescharacteristic, complemented
1051#451—731no—
1052#450—731no—
1053#449—731no—
1054#449—731no—
1055#449—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic
1060#449C2×D7311yescharacteristic, complemented
1061#448—731no—
1062#447—731no—
1063#447—731no—
1064#447C2×D7311yescharacteristic
1065#446—731no—
1066#446—731no—
1067#442—731no—
1068#442—731no—
1069#442—731no—
1070#441—731no—
1071#441—731no—
1072#440—731no—
1073#440—731no—
1074#440C2×D7311yescharacteristic, complemented
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078C4×SD16—731no—
1079#435—731no—
1080#435—731no—
1081#435—731no—
1082#435C2×D7311yescharacteristic, complemented
1083C8×D4—731no—
1084C8×D4—731no—
1085#433—731no—
1086#433—731no—
1087#432—731no—
1088#424—731no—
1089#424—731no—
1090C2×C4⋊C8—731no—
1091#418—731no—
1092#417—731no—
1093#416—731no—
1094#416—731no—
1095#416—731no—
1096C2×#102—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41C22×D7311yescharacteristic
1103C2×#41C22×D7311yescharacteristic
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×D4—731no—
1107C22×D4—1461no—
1108C22×D4C22×D7311yescharacteristic
1109#137—2922no—
1110AGL(1,ℤ/8)—42no—
1111#135—42no—
1112#135—2922no—
1113#135—2922no—
1114C2×Q16—731no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16C22×D7311yescharacteristic
1118C2×SD16—2922no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16C22×D7311yescharacteristic
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×D8—731no—
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8C22×D7311yescharacteristic
1136C2×D8C22×D7311yescharacteristic
1137C2×D8C22×D7311yescharacteristic
1138C2×D8C22×D7311yescharacteristic
1139C2×M16—731no—
1140C2×M16C22×D7311yescharacteristic
1141C22×C8—731no—
1142C22×C8—731no—
1143C22×C8—731no—
1144C22×C8C22×D7311yescharacteristic
1145C4⋊Q8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—731no—
1148C4⋊Q8—1461no—
1149#127—21no—
1150#127—731no—
1151#127—731no—
1152#127—731no—
1153#127—731no—
1154#127—1461no—
1155#127—1461no—
1156#127C22×D7311yescharacteristic
1157#126—731no—
1158#126—731no—
1159#126—1461no—
1160#126—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—731no—
1168#125—731no—
1169#125—731no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#124—731no—
1174#124—731no—
1175#124—731no—
1176#124—731no—
1177#124—731no—
1178#124—731no—
1179#124—1461no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124—1461no—
1187#124—1461no—
1188#124C22×D7311yescharacteristic
1189#123—21no—
1190#123—731no—
1191#123—731no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201#123—1461no—
1202#123—1461no—
1203#123—1461no—
1204#123—1461no—
1205C22⋊Q8—731no—
1206C22⋊Q8—731no—
1207C22⋊Q8—731no—
1208C22⋊Q8—731no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8C22×D7311yescharacteristic
1216#121—21no—
1217#121—21no—
1218#121—21no—
1219#121—731no—
1220#121—731no—
1221#121—731no—
1222#121—731no—
1223#121—731no—
1224#121—731no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121—1461no—
1238#121—1461no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121C22×D7311yescharacteristic
1249#121C22×D7311yescharacteristic
1250#121C22×D7311yescharacteristic
1251#120—21no—
1252#120—1461no—
1253#120—1461no—
1254#120—1461no—
1255#120—1461no—
1256#120—1461no—
1257#120—1461no—
1258#120—1461no—
1259C4×Q8—731no—
1260C4×Q8—731no—
1261C4×Q8—731no—
1262C4×Q8—731no—
1263C4×Q8—731no—
1264C4×Q8—731no—
1265C4×Q8—731no—
1266C4×Q8—731no—
1267C4×Q8—1461no—
1268C4×Q8—1461no—
1269C4×Q8—1461no—
1270C4×Q8C22×D7311yescharacteristic
1271C4×D4—21no—
1272C4×D4—731no—
1273C4×D4—731no—
1274C4×D4—731no—
1275C4×D4—731no—
1276C4×D4—731no—
1277C4×D4—731no—
1278C4×D4—731no—
1279C4×D4—731no—
1280C4×D4—731no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4C22×D7311yescharacteristic
1296C4×D4C22×D7311yescharacteristic
1297#117—731no—
1298#117—731no—
1299#117—731no—
1300#117—731no—
1301#117—1461no—
1302#117—1461no—
1303#117—1461no—
1304#117—1461no—
1305#117—1461no—
1306#117—1461no—
1307#117—1461no—
1308#117—1461no—
1309C2×C4⋊C4—731no—
1310C2×C4⋊C4—1461no—
1311C2×C4⋊C4—1461no—
1312C2×C22⋊C4—21no—
1313C2×C22⋊C4—1461no—
1314C2×C42—731no—
1315C2×C42—1461no—
1316#107—731no—
1317#107—731no—
1318#107—731no—
1319#107C22×D7311yescharacteristic
1320#106—731no—
1321#106—731no—
1322#106—731no—
1323#106—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8—731no—
1333C4⋊C8C22×D7311yescharacteristic
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103—731no—
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102—731no—
1360#102—731no—
1361#102—731no—
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365#102C22×D7311yescharacteristic
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8—731no—
1370C22⋊C8C22×D7311yescharacteristic
1371C22⋊C8C22×D7311yescharacteristic
1372#97—731no—
1373#97—731no—
1374#97—731no—
1375#97C22×D7311yescharacteristic
1376C4×C8—731no—
1377C4×C8—731no—
1378C24—21no—
1379C24—1461no—
1380#41—22no—
1381#41—22no—
1382#41—41no—
1383#41—41no—
1384#41—41no—
1385#41—41no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—2921no—
1392#41—5842no—
1393#41—5842no—
1394C2×Q8—2921no—
1395C2×Q8—731no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—1461no—
1399C2×Q8—1461no—
1400C2×Q8—1461no—
1401C2×Q8—1462no—
1402C2×Q8C23×D7311yescharacteristic
1403C2×Q8C23×D7311yescharacteristic
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—21no—
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—21no—
1413C2×D4—41no—
1414C2×D4—41no—
1415C2×D4—2921no—
1416C2×D4—2921no—
1417C2×D4—5842no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4D4×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C2×D4C23×D7311yescharacteristic
1443C2×D4C23×D7311yescharacteristic
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—21no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4C23×D7311yescharacteristic
1464C22×C4C23×D7311yescharacteristic
1465Q16—22no—
1466Q16—2921no—
1467Q16—2921no—
1468Q16—1462no—
1469SD16—22no—
1470SD16—22no—
1471SD16—41no—
1472SD16—41no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—1462no—
1480SD16—1462no—
1481D8—41no—
1482D8—41no—
1483D8—41no—
1484D8—41no—
1485D8—2921no—
1486D8—2921no—
1487D8—2921no—
1488D8—2921no—
1489M16—41no—
1490M16—2921no—
1491C2×C8—41no—
1492C2×C8—2921no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—731no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8C23×D7311yescharacteristic
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—731no—
1517C4⋊C4—731no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4D4×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—731no—
1551C22⋊C4—731no—
1552C22⋊C4—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4—1461no—
1580C22⋊C4—1461no—
1581C22⋊C4—1461no—
1582C22⋊C4D4×D7311yescharacteristic
1583C22⋊C4D4×D7311yescharacteristic
1584C42—21no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42C23×D7311yescharacteristic
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—81no—
1605C23—81no—
1606C23—81no—
1607C23—5841no—
1608C23—5841no—
1609C23—5841no—
1610C23—731no—
1611C23—1461no—
1612C23—1461no—
1613C23C2×D4×D7311yescharacteristic
1614C23C2×D4×D7311yescharacteristic
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—2922no—
1619Q8—2921no—
1620Q8—5841no—
1621Q8—5841no—
1622Q8—1461no—
1623Q8—1461no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8#1455663612yes—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—81no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—81no—
1644D4—81no—
1645D4—2921no—
1646D4—2921no—
1647D4—2922no—
1648D4—5841no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—5841no—
1661D4—5841no—
1662D4—5841no—
1663D4—5841no—
1664D4—1461no—
1665D4—1461no—
1666D4—1461no—
1667D4—1461no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—42no—
1677C2×C4—42no—
1678C2×C4—81no—
1679C2×C4—81no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2921no—
1684C2×C4—2921no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—5841no—
1693C2×C4—5841no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—731no—
1700C2×C4—731no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1461no—
1706C2×C4—1461no—
1707C2×C4—1461no—
1708C2×C4—1461no—
1709C2×C4C2×D4×D7311yescharacteristic
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C24×D7311yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—1461no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C22—21no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—162no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—2921no—
1745C22—2921no—
1746C22—2921no—
1747C22—11682no—
1748C22—1461no—
1749C22—1461no—
1750C22—1461no—
1751C22C22×D4×D7311yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—22no—
1755C4—21no—
1756C4—21no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—2921no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4—1461no—
1773C4C2×#1455663611yescharacteristic
1774C4#1798942211yescharacteristic
1775C2—41no—
1776C2—41no—
1777C2—81no—
1778C2—81no—
1779C2—81no—
1780C2—81no—
1781C2—2921no—
1782C2—5841no—
1783C2—5841no—
1784C2#2262359111yescharacteristic
1785C2#2262470411yescharacteristic
1786C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3268C2
socleC22×C73C23×D4
hypercenter#3268D73
hypocenterC73#62026
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. #22624298C2semidirect
2. #22624029C2semidirect
3. #22622992C2semidirect
4. #22622977C2semidirect
5. #22622777C2semidirect
6. #22622661C2semidirect
7. #22622093C2semidirect
8. #22622076C2semidirect
9. #22622059C2semidirect
10. #22621902C2semidirect
11. #22621874C2semidirect
12. #22621766C2semidirect
13. #22621687C2semidirect
14. #22621641C2semidirect
15. #22621516C2semidirect
16. #22621479C2semidirect
17. #22621420C2semidirect
18. #22621388C2semidirect
19. #22621338C2semidirect
20. #22621250C2semidirect
21. #22621021C2semidirect
22. #22620976C2semidirect
23. #22620966C2semidirect
24. #22620201C2semidirect
25. #22620158C2semidirect
26. #22620075C2semidirect
27. #22619474C2semidirect
28. #22619450C2semidirect
29. #22619382C2semidirect
30. #22619071C2semidirect
31. C73×#3268C2semidirect
32. C2×#14556623C22semidirect
33. C2×#14556611C22semidirect
34. C2×#14556611C22semidirect
39. #17989323C22semidirect
40. #17989313C22semidirect
43. #17989301C22semidirect
48. #17989277C22semidirect
53. #17989244C22semidirect
60. #17989204C22semidirect
63. #17989191C22semidirect
73. #17989118C22semidirect
76. #17989070C22semidirect
77. #17989063C22semidirect
78. #41×Dic73C22semidirect
79. #17988978C22semidirect
81. #17988975C22semidirect
83. #17988963C22semidirect
84. #17988954C22semidirect
85. #17988952C22semidirect
89. #17988932C22semidirect
90. #17988930C22semidirect
91. #17988915C22semidirect
92. #17988912C22semidirect
96. #17988895C22semidirect
97. #17988890C22semidirect
99. #17988887C22semidirect
100. #17988881C22semidirect
101. #17988880C22semidirect
102. #17988875C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
105. #17988865C22semidirect
108. #17988832C22semidirect
109. #17988826C22semidirect
111. #17988821C22semidirect
113. #17988816C22semidirect
114. #17988815C22semidirect
116. #17988812C22semidirect
117. #17988811C22semidirect
118. #17988808C22semidirect
120. #17988807C22semidirect
121. #17988807C22semidirect
123. #17988804C22semidirect
124. #17988804C22semidirect
125. #17988801C22semidirect
126. #17988801C22semidirect
129. #17988800C22semidirect
130. #17988800C22semidirect
131. #17988795C22semidirect
132. #17988790C22semidirect
133. #17988788C22semidirect
134. #17988787C22semidirect
138. #17988785C22semidirect
139. #17988784C22semidirect
143. #17988780C22semidirect
144. #17988751C22semidirect
145. #17988751C22semidirect
146. #17988749C22semidirect
147. #17988744C22semidirect
150. #17988732C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988730C22semidirect
154. #17988730C22semidirect
158. #17988715C22semidirect
159. #17988714C22semidirect
161. #17988696C22semidirect
162. #17988696C22semidirect
163. #17988695C22semidirect
164. #17988694C22semidirect
165. #17988690C22semidirect
167. C4×#11924018C22semidirect
168. SD16×Dic73C22semidirect
169. C4×#11924016C22semidirect
170. #17988672C22semidirect
171. #17988658C22semidirect
174. D4×#10596831C22semidirect
175. #17988650C22semidirect
176. #17988649C22semidirect
177. #17988645C22semidirect
178. #17988641C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
181. C2×#14556520C22semidirect
183. #17988589C22semidirect
184. #17988584C22semidirect
185. #17988583C22semidirect
186. #17988582C22semidirect
189. C2×#135×C73C22semidirect
190. #550×C73C22semidirect
193. #468×C73C22semidirect
196. #459×C73C22semidirect
197. #452×C73C22semidirect
199. #449×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
910. #3268D73semidirect
925. C73#62026semidirect
930. C2×#135C2×D73semidirect
948. #550C2×D73semidirect
1008. #468C2×D73semidirect
1046. #459C2×D73semidirect
1050. #452C2×D73semidirect
1060. #449C2×D73semidirect
1074. #440C2×D73semidirect
1082. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242982
#226240292
#226229922
#226229772
#226227772
#226226612
#226220932
#226220762
#226220592
#226219022
#226218742
#226217662
#226216872
#226216412
#226215162
#226214792
#226214202
#226213882
#226213382
#226212502
#226210212
#226209762
#226209662
#226202012
#226201582
#226200752
#226194742
#226194502
#226193822
#226190712
C73×#32682
#6202673