Finite Group Databasebeta

← #33972546

Subgroups — #33972546

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624212C211yesmaximal, characteristic, complemented
2#22623593C211yesmaximal, characteristic, complemented
3#22622265C211yesmaximal, characteristic, complemented
4#22622200C211yesmaximal, characteristic, complemented
5#22622155C211yesmaximal, characteristic, complemented
6#22622136C211yesmaximal, characteristic, complemented
7#22622008C211yesmaximal, characteristic, complemented
8#22622001C211yesmaximal, characteristic, complemented
9#22621948C211yesmaximal, characteristic, complemented
10#22621941C211yesmaximal, characteristic, complemented
11#22621590C211yesmaximal, characteristic, complemented
12#22621581C211yesmaximal, characteristic, complemented
13#22621562C211yesmaximal, characteristic, complemented
14#22621525C211yesmaximal, characteristic, complemented
15#22621516C211yesmaximal, characteristic, complemented
16#22621486C211yesmaximal, characteristic, complemented
17#22621445C211yesmaximal, characteristic, complemented
18#22621430C211yesmaximal, characteristic, complemented
19#22621021C211yesmaximal, characteristic, complemented
20#22620999C211yesmaximal, characteristic, complemented
21#22620828C211yesmaximal, characteristic, complemented
22#22620815C211yesmaximal, characteristic, complemented
23#22620742C211yesmaximal, characteristic, complemented
24#22620734C211yesmaximal, characteristic, complemented
25#22620186C211yesmaximal, characteristic, complemented
26#22620138C211yesmaximal, characteristic, complemented
27#22619208C211yesmaximal, characteristic, complemented
28#22619188C211yesmaximal, characteristic, complemented
29#22619169C211yesmaximal, characteristic, complemented
30#22618989C211yesmaximal, characteristic, complemented
31C73×#3012C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#14556623C2211yescharacteristic, complemented
34C2×#14556621C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C22×#11924016C2211yescharacteristic, complemented
39#17989338—21no—
40#17989332—21no—
41#17989308C2211yescharacteristic, complemented
42#17989292C2211yescharacteristic, complemented
43#17989291—21no—
44#17989284—21no—
45#17989284C2211yescharacteristic, complemented
46#17989272C2211yescharacteristic, complemented
47#17989256C2211yescharacteristic
48#17989256C2211yescharacteristic
49#17989250C2211yescharacteristic, complemented
50#17989244C2211yescharacteristic
51#17989244C2211yescharacteristic
52#17989244C2211yescharacteristic, complemented
53#17989243C2211yescharacteristic, complemented
54#17989236C2211yescharacteristic, complemented
55#17989231—21no—
56#17989231—21no—
57#17989231C2211yescharacteristic
58#17989231C2211yescharacteristic
59D4×C22⋊D73—21no—
60D4×C22⋊D73—21no—
61D4×C22⋊D73C2211yescharacteristic
62D4×C22⋊D73C2211yescharacteristic
63#17989204—21no—
64#17989204C2211yescharacteristic, complemented
65#17989197C2211yescharacteristic, complemented
66#17989182—21no—
67#17989169—21no—
68#17989169—21no—
69#17989165—21no—
70#17989165C2211yescharacteristic
71#17989158C2211yescharacteristic, complemented
72#17989154—21no—
73#17989154C2211yescharacteristic
74#17989097C2211yescharacteristic, complemented
75#17989094—21no—
76#17989094C2211yescharacteristic
77C22⋊Q8×D73C2211yescharacteristic, complemented
78C2×#14556562—21no—
79C2×#14556562C2211yescharacteristic
80#17989070C2211yescharacteristic
81#17988978C2211yescharacteristic, complemented
82#17988975C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988940C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988920C2211yescharacteristic, complemented
93#17988918C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988845C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988837C2211yescharacteristic, complemented
108#17988835C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988832C2211yescharacteristic, complemented
111#17988832C2211yescharacteristic, complemented
112#17988832C2211yescharacteristic, complemented
113#17988832C2211yescharacteristic, complemented
114#17988831C2211yescharacteristic, complemented
115#17988830C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988828C2211yescharacteristic, complemented
118#17988826C2211yescharacteristic, complemented
119#17988821C2211yescharacteristic, complemented
120#17988816C2211yescharacteristic, complemented
121#17988808C2211yescharacteristic, complemented
122#17988808C2211yescharacteristic, complemented
123#17988807C2211yescharacteristic, complemented
124#17988807C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988795C2211yescharacteristic, complemented
128#17988790C2211yescharacteristic, complemented
129#17988786C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic, complemented
134#17988751C2211yescharacteristic, complemented
135#17988751C2211yescharacteristic, complemented
136#17988750C2211yescharacteristic, complemented
137#17988749C2211yescharacteristic
138#17988749C2211yescharacteristic
139#17988749C2211yescharacteristic, complemented
140#17988749C2211yescharacteristic, complemented
141#17988749C2211yescharacteristic, complemented
142#17988747C2211yescharacteristic, complemented
143#17988745C2211yescharacteristic, complemented
144#17988744C2211yescharacteristic, complemented
145#17988741C2211yescharacteristic, complemented
146#17988739C2211yescharacteristic, complemented
147#17988738C2211yescharacteristic, complemented
148#17988738C2211yescharacteristic, complemented
149#17988738C2211yescharacteristic, complemented
150#17988738C2211yescharacteristic, complemented
151#17988736C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988729C2211yescharacteristic, complemented
158#17988728C2211yescharacteristic, complemented
159#17988724C2211yescharacteristic, complemented
160#17988724C2211yescharacteristic, complemented
161#17988694C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166#17988679C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168D8×Dic73C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988662C2211yescharacteristic, complemented
172#17988662C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988655C2211yescharacteristic, complemented
176#17988655C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988592C2211yescharacteristic, complemented
181#17988590C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184#17988583C2211yescharacteristic, complemented
185#17988554C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188C2×H(5,𝔽2)×C73C2211yescharacteristic
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190C2×#135×C73C2211yescharacteristic, complemented
191#537×C73C2211yescharacteristic, complemented
192#452×C73C2211yescharacteristic
193#452×C73C2211yescharacteristic, complemented
194#450×C73C2211yescharacteristic, complemented
195#450×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#417×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027C2311yescharacteristic
208C2×#11924027C2311yescharacteristic
209#41×D73—42no—
210#41×D73—42no—
211C22×Dic146C2311yescharacteristic
212C2×Q8×D73C2311yescharacteristic
213C2×Q8×D73C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73C2311yescharacteristic
219C22×C4×D73—21no—
220C22×C4×D73C2311yescharacteristic
221#14556623—42no—
222#14556621—42no—
223#14556620—42no—
224#14556620—42no—
225#14556615—42no—
226C2×Dic292C2311yescharacteristic
227C2×Dic292C2311yescharacteristic
228C2×#11924018C2311yescharacteristic
229C2×#11924018C2311yescharacteristic
230C2×#11924018C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924017C2311yescharacteristic
233C2×#11924016—42no—
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924015C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C2×#11924011C2311yescharacteristic
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C22×#10596831C2311yescharacteristic
249#14556590—21no—
250#14556590C2311yescharacteristic
251#14556589—21no—
252#14556589C2311yescharacteristic
253#14556587—21no—
254#14556587—21no—
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556586—21no—
258#14556586—21no—
259#14556584—21no—
260#14556584—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556582—21no—
265#14556582C2311yescharacteristic
266#14556581—21no—
267#14556581—21no—
268#14556581—21no—
269#14556578—21no—
270#14556578—21no—
271#14556578—21no—
272#14556578—21no—
273#14556578—21no—
274#14556578C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556574—21no—
280#14556574—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#14556572D411yescharacteristic
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556567—21no—
311#14556567D411yescharacteristic
312#14556567D411yescharacteristic
313#14556567C2311yescharacteristic
314#14556565—21no—
315#14556565—21no—
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556562—21no—
327#14556562—21no—
328#14556562—21no—
329#14556562—21no—
330#14556562—21no—
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562D411yescharacteristic
338#14556562D411yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic
344#14556560—21no—
345#14556560—21no—
346#14556560—21no—
347#14556560—21no—
348#14556560—21no—
349#14556560—21no—
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559D411yescharacteristic
354#14556559D411yescharacteristic
355Q8×Dic73C2311yescharacteristic
356Q8×Dic73C2311yescharacteristic
357Q8×Dic73C2311yescharacteristic
358#14556556—21no—
359#14556556C2311yescharacteristic
360#14556556C2311yescharacteristic
361D4×Dic73—21no—
362D4×Dic73—21no—
363D4×Dic73—21no—
364D4×Dic73—21no—
365D4×Dic73C2311yescharacteristic
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556550—21no—
382#14556550—21no—
383#14556550C2311yescharacteristic
384#14556550C2311yescharacteristic
385#14556549C2311yescharacteristic
386C2×C4⋊Dic73—21no—
387C2×C4⋊Dic73C2311yescharacteristic
388C2×#11924007—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C2×C22⋊Dic73—21no—
392C2×C22⋊Dic73—21no—
393C2×C22⋊Dic73—21no—
394C22⋊C4×D73—21no—
395#14556525C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556523C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556501C2311yescharacteristic
440#14556501C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C8×Dic73C2311yescharacteristic
443H(5,𝔽2)×C73—42no—
444H(5,𝔽2)×C73—42no—
445C2×#41×C73—21no—
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C22×D4×C73—21no—
452C22×D4×C73—21no—
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C22×D4×C73C2311yescharacteristic
456C22×D4×C73C2311yescharacteristic
457AGL(1,ℤ/8)×C73—42no—
458#135×C73—42no—
459C2×Q16×C73C2311yescharacteristic
460C2×SD16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×SD16×C73C2311yescharacteristic
464C2×D8×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C2×M16×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469C22⋊Q8×C73—21no—
470C22⋊Q8×C73C2311yescharacteristic
471C22⋊Q8×C73C2311yescharacteristic
472#121×C73—21no—
473#121×C73—21no—
474#121×C73—21no—
475#121×C73C2311yescharacteristic
476#121×C73C2311yescharacteristic
477C2×C4⋊C4×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—22no—
493#11924029—41no—
494#11924028—41no—
495#11924028—41no—
496#11924028—44no—
497#11924027—22no—
498#11924027—41no—
499#11924027—41no—
500#11924027—41no—
501#11924027—44no—
502C2×Dic146—21no—
503C2×Dic146—21no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—41no—
507C2×Dic146—41no—
508C2×Dic146C2411yescharacteristic
509C2×Dic146C2411yescharacteristic
510C2×Dic146C2411yescharacteristic
511Q8×D73—22no—
512Q8×D73—41no—
513Q8×D73—41no—
514Q8×D73—41no—
515C2×D292—21no—
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—82no—
533C2×C22⋊D73—82no—
534C2×C22⋊D73—82no—
535C2×C22⋊D73C2×D411yescharacteristic
536C2×C22⋊D73C2×D411yescharacteristic
537C2×C22⋊D73C2×D411yescharacteristic
538C2×C22⋊D73C2×D411yescharacteristic
539D4×D73—22no—
540D4×D73—41no—
541D4×D73—44no—
542C22×Dic73—21no—
543C22×Dic73—21no—
544C22×Dic73—21no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73C2×D411yescharacteristic
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—41no—
556C2×C4×D73—41no—
557C2×C4×D73—44no—
558C2×C4×D73C2×D411yescharacteristic
559C2×C4×D73C2×D411yescharacteristic
560C2×C4×D73C2411yescharacteristic
561C2×C4×D73C2411yescharacteristic
562Dic292—41no—
563Dic292—41no—
564#11924018—22no—
565#11924018—22no—
566#11924018—41no—
567#11924017—41no—
568#11924017—41no—
569#11924016—22no—
570#11924016—22no—
571#11924016—41no—
572#11924016—41no—
573#11924016—41no—
574#11924016—41no—
575#11924016—41no—
576#11924015—41no—
577#11924013—41no—
578#11924012—41no—
579#11924011—41no—
580#11924011—41no—
581#11924011—41no—
582#11924011—41no—
583C2×#10596831—41no—
584C2×#10596831C2411yescharacteristic
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73—21no—
591C4⋊Dic73—21no—
592C4⋊Dic73—21no—
593C4⋊Dic73—21no—
594C4⋊Dic73—21no—
595C4⋊Dic73C2×D411yescharacteristic
596C4⋊Dic73C2×D411yescharacteristic
597C4⋊Dic73C2411yescharacteristic
598C4⋊Dic73C2411yescharacteristic
599C4⋊Dic73C2411yescharacteristic
600C4⋊Dic73C2411yescharacteristic
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007C2×D411yescharacteristic
616#11924007C2×D411yescharacteristic
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73—21no—
636C22⋊Dic73—21no—
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73C2×D411yescharacteristic
641C22⋊Dic73C2×D411yescharacteristic
642C22⋊Dic73C2×D411yescharacteristic
643C22⋊Dic73C2×D411yescharacteristic
644C22⋊Dic73C2×D411yescharacteristic
645C22⋊Dic73C2×D411yescharacteristic
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655#11924005C2×D411yescharacteristic
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73C2411yescharacteristic
664C4×Dic73C2411yescharacteristic
665C24×C73—21no—
666C24×C73—21no—
667C24×C73—21no—
668#41×C73—22no—
669#41×C73—22no—
670#41×C73—22no—
671#41×C73—22no—
672#41×C73—41no—
673#41×C73—41no—
674#41×C73—41no—
675#41×C73—41no—
676#41×C73—44no—
677#41×C73—41no—
678#41×C73—41no—
679C2×Q8×C73C2×D411yescharacteristic
680C2×Q8×C73C2411yescharacteristic
681C2×Q8×C73C2411yescharacteristic
682C2×D4×C73—21no—
683C2×D4×C73—22no—
684C2×D4×C73—22no—
685C2×D4×C73—21no—
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—41no—
694C2×D4×C73—41no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73—44no—
698C2×D4×C73—44no—
699C2×D4×C73—44no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2×D411yescharacteristic
702C2×D4×C73C2×D411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715Q16×C73—22no—
716SD16×C73—22no—
717SD16×C73—22no—
718SD16×C73—41no—
719SD16×C73—41no—
720D8×C73—22no—
721D8×C73—41no—
722D8×C73—41no—
723M16×C73—41no—
724C2×C8×C73—41no—
725C2×C8×C73C2411yescharacteristic
726C2×C8×C73C2411yescharacteristic
727C2×C8×C73C2411yescharacteristic
728C2×C8×C73C2411yescharacteristic
729C4⋊C4×C73—21no—
730C4⋊C4×C73—21no—
731C4⋊C4×C73—21no—
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—21no—
742C23×C73—42no—
743C23×C73—42no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73—81no—
748C23×C73—81no—
749C23×C73—81no—
750C23×C73—81no—
751C23×C73C22×D411yescharacteristic
752C23×C73C22×D411yescharacteristic
753C23×C73C22×D411yescharacteristic
754C22×D73—21no—
755C22×D73—41no—
756C22×D73—41no—
757C22×D73—41no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—81no—
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—41no—
767Q8×C73H(5,𝔽2)12yes—
768D4×C73—24no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—41no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—42no—
780D4×C73—42no—
781D4×C73—42no—
782D4×C73—42no—
783D4×C73—42no—
784D4×C73—81no—
785D4×C73—81no—
786D4×C73—81no—
787D4×C73H(5,𝔽2)12yes—
788C2×C4×C73—24no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—42no—
800C2×C4×C73—42no—
801C2×C4×C73—81no—
802C2×C4×C73—81no—
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C2511yescharacteristic
807C22⋊D73—41no—
808C22⋊D73—41no—
809C22⋊D73—41no—
810C22⋊D73—41no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—41no—
834C2×Dic73—42no—
835C2×Dic73—81no—
836C2×Dic73—81no—
837C2×Dic73—81no—
838C2×Dic73—81no—
839C2×Dic73—81no—
840C2×Dic73—81no—
841C2×Dic73C22×D411yescharacteristic
842C2×Dic73C22×D411yescharacteristic
843C2×Dic73C22×D411yescharacteristic
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847D292—21no—
848D292—21no—
849D292—42no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—41no—
855C4×D73—41no—
856C4×D73—42no—
857C4×D73—42no—
858C4×D73—42no—
859C4×D73—81no—
860C4×D73—81no—
861Dic146—21no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—21no—
867Dic146—42no—
868Dic146—81no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—22no—
887C22×C73—21no—
888C22×C73—21no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—41no—
895C22×C73—41no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—162no—
901C22×C73—162no—
902C22×C73—162no—
903C22×C73C23×D411yescharacteristic
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—41no—
911C2×D73—41no—
912C2×D73—41no—
913C2×D73—82no—
914C2×D73—84no—
915C4×C73—22no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73C2×H(5,𝔽2)11yescharacteristic
923C4×C73C2×H(5,𝔽2)11yescharacteristic
924Dic73—21no—
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—42no—
940C2×C73—41no—
941C2×C73—41no—
942C2×C73—81no—
943C2×C73—81no—
944C2×C73—81no—
945C2×C73#348411yescharacteristic
946C2×C73#358511yescharacteristic
947C2×C73#358611yescharacteristic
948D73—41no—
949D73—41no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012D7311yescharacteristic, complemented
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)C2×D7311yescharacteristic
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137—731no—
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
991C2×#135C2×D7311yescharacteristic, complemented
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548—731no—
1008#547—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—1461no—
1025#537C2×D7311yescharacteristic, complemented
1026#536—731no—
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463—731no—
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic
1099#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450C2×D7311yescharacteristic, complemented
1110#450C2×D7311yescharacteristic, complemented
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449C2×D7311yescharacteristic
1118#449C2×D7311yescharacteristic, complemented
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447C2×D7311yescharacteristic, complemented
1123#447C2×D7311yescharacteristic, complemented
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417C2×D7311yescharacteristic, complemented
1148#416—731no—
1149C2×#102C2×D7311yescharacteristic, complemented
1150#408—731no—
1151#408C2×D7311yescharacteristic, complemented
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—42no—
1155H(5,𝔽2)—42no—
1156C2×#41—21no—
1157C2×#41—2922no—
1158C2×#41—2922no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—1461no—
1164C2×#41—1461no—
1165C2×#41C22×D7311yescharacteristic
1166C2×#41C22×D7311yescharacteristic
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8—731no—
1173C22×D4—21no—
1174C22×D4—21no—
1175C22×D4—21no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4C22×D7311yescharacteristic
1182C22×D4C22×D7311yescharacteristic
1183C22×D4C22×D7311yescharacteristic
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—2922no—
1192#135—42no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16—731no—
1198C2×Q16C22×D7311yescharacteristic
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8C22×D7311yescharacteristic
1216C2×D8C22×D7311yescharacteristic
1217C2×D8C22×D7311yescharacteristic
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—1461no—
1229C4⋊Q8—1461no—
1230#127—731no—
1231#127—731no—
1232#127—1461no—
1233#127—1461no—
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—731no—
1247#124—731no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124—1461no—
1256#123—731no—
1257#123—731no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—731no—
1330#120—731no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—731no—
1344C4×Q8—731no—
1345C4×Q8—1461no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366#117—731no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4C22×D7311yescharacteristic
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107—731no—
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8C22×D7311yescharacteristic
1434C22⋊C8C22×D7311yescharacteristic
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—21no—
1442C24—21no—
1443C24—21no—
1444C24—731no—
1445C24—1461no—
1446#41—22no—
1447#41—22no—
1448#41—22no—
1449#41—22no—
1450#41—41no—
1451#41—41no—
1452#41—41no—
1453#41—41no—
1454#41—44no—
1455#41—41no—
1456#41—41no—
1457#41—2924no—
1458#41—2921no—
1459#41—2921no—
1460#41—2924no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—2921no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8D4×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—22no—
1485C2×D4—22no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—41no—
1495C2×D4—41no—
1496C2×D4—41no—
1497C2×D4—41no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—2924no—
1502C2×D4—2921no—
1503C2×D4—5842no—
1504C2×D4—5842no—
1505C2×D4—5842no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1462no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4D4×D7311yescharacteristic
1529C2×D4D4×D7311yescharacteristic
1530C2×D4D4×D7311yescharacteristic
1531C2×D4C23×D7311yescharacteristic
1532C2×D4C23×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—2924no—
1541C22×C4—2921no—
1542C22×C4—2921no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
1547C22×C4—731no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4C23×D7311yescharacteristic
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—22no—
1564Q16—2921no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—2921no—
1580SD16—2921no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—22no—
1584D8—41no—
1585D8—41no—
1586D8—2921no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—41no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—731no—
1607C4⋊C4—731no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—731no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4—1461no—
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C42—731no—
1681C42—731no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42—1461no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—42no—
1694C23—42no—
1695C23—42no—
1696C23—81no—
1697C23—81no—
1698C23—81no—
1699C23—81no—
1700C23—81no—
1701C23—81no—
1702C23—2922no—
1703C23—2921no—
1704C23—2921no—
1705C23—2921no—
1706C23—2922no—
1707C23—5841no—
1708C23—731no—
1709C23—731no—
1710C23—1461no—
1711C23C2×D4×D7311yescharacteristic
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—41no—
1718Q8—2922no—
1719Q8—5841no—
1720Q8—5841no—
1721Q8—5841no—
1722Q8—1461no—
1723Q8—1461no—
1724Q8—1461no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8#1455663612yes—
1729D4—24no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—41no—
1738D4—41no—
1739D4—41no—
1740D4—42no—
1741D4—42no—
1742D4—42no—
1743D4—42no—
1744D4—42no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—2922no—
1749D4—2922no—
1750D4—2922no—
1751D4—2922no—
1752D4—2922no—
1753D4—2922no—
1754D4—2922no—
1755D4—2921no—
1756D4—2921no—
1757D4—2921no—
1758D4—2921no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—5841no—
1766D4—5841no—
1767D4—5841no—
1768D4—1461no—
1769D4—1461no—
1770D4#1455663612yes—
1771C2×C4—24no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2922no—
1789C2×C4—2921no—
1790C2×C4—2921no—
1791C2×C4—2922no—
1792C2×C4—2921no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—5841no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—731no—
1806C2×C4—731no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4—1461no—
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—22no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—41no—
1849C22—41no—
1850C22—41no—
1851C22—162no—
1852C22—162no—
1853C22—162no—
1854C22—2921no—
1855C22—2921no—
1856C22—2921no—
1857C22—5842no—
1858C22—5844no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—22no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—1461no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4C2×#1455663611yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—42no—
1892C2—81no—
1893C2—81no—
1894C2—81no—
1895C2—2921no—
1896C2—2921no—
1897C2—5841no—
1898C2#2262356011yescharacteristic
1899C2#2262470611yescharacteristic
1900C2#2262471311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3012C2
socleC22×C73C23×D4
hypercenter#3012D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #22624212C2semidirect
2. #22623593C2semidirect
3. #22622265C2semidirect
4. #22622200C2semidirect
5. #22622155C2semidirect
6. #22622136C2semidirect
7. #22622008C2semidirect
8. #22622001C2semidirect
9. #22621948C2semidirect
10. #22621941C2semidirect
11. #22621590C2semidirect
12. #22621581C2semidirect
13. #22621562C2semidirect
14. #22621525C2semidirect
15. #22621516C2semidirect
16. #22621486C2semidirect
17. #22621445C2semidirect
18. #22621430C2semidirect
19. #22621021C2semidirect
20. #22620999C2semidirect
21. #22620828C2semidirect
22. #22620815C2semidirect
23. #22620742C2semidirect
24. #22620734C2semidirect
25. #22620186C2semidirect
26. #22620138C2semidirect
27. #22619208C2semidirect
28. #22619188C2semidirect
29. #22619169C2semidirect
30. #22618989C2semidirect
31. C73×#3012C2semidirect
33. C2×#14556623C22semidirect
34. C2×#14556621C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556615C22semidirect
38. C22×#11924016C22semidirect
41. #17989308C22semidirect
42. #17989292C22semidirect
45. #17989284C22semidirect
46. #17989272C22semidirect
49. #17989250C22semidirect
52. #17989244C22semidirect
53. #17989243C22semidirect
54. #17989236C22semidirect
64. #17989204C22semidirect
65. #17989197C22semidirect
71. #17989158C22semidirect
74. #17989097C22semidirect
77. C22⋊Q8×D73C22semidirect
81. #17988978C22semidirect
82. #17988975C22semidirect
83. #17988970C22semidirect
84. #17988958C22semidirect
85. #17988950C22semidirect
86. #17988945C22semidirect
87. #17988940C22semidirect
88. #17988932C22semidirect
89. #17988929C22semidirect
90. #17988923C22semidirect
91. #17988922C22semidirect
92. #17988920C22semidirect
93. #17988918C22semidirect
94. #17988912C22semidirect
95. #17988910C22semidirect
96. #17988910C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988898C22semidirect
101. #17988892C22semidirect
102. #17988889C22semidirect
103. #17988880C22semidirect
104. #17988865C22semidirect
105. #17988845C22semidirect
106. #17988837C22semidirect
107. #17988837C22semidirect
108. #17988835C22semidirect
109. #17988833C22semidirect
110. #17988832C22semidirect
111. #17988832C22semidirect
112. #17988832C22semidirect
113. #17988832C22semidirect
114. #17988831C22semidirect
115. #17988830C22semidirect
116. #17988830C22semidirect
117. #17988828C22semidirect
118. #17988826C22semidirect
119. #17988821C22semidirect
120. #17988816C22semidirect
121. #17988808C22semidirect
122. #17988808C22semidirect
123. #17988807C22semidirect
124. #17988807C22semidirect
125. #17988800C22semidirect
126. #17988800C22semidirect
127. #17988795C22semidirect
128. #17988790C22semidirect
129. #17988786C22semidirect
130. #17988786C22semidirect
131. #17988785C22semidirect
132. #17988780C22semidirect
133. #17988752C22semidirect
134. #17988751C22semidirect
135. #17988751C22semidirect
136. #17988750C22semidirect
139. #17988749C22semidirect
140. #17988749C22semidirect
141. #17988749C22semidirect
142. #17988747C22semidirect
143. #17988745C22semidirect
144. #17988744C22semidirect
145. #17988741C22semidirect
146. #17988739C22semidirect
147. #17988738C22semidirect
148. #17988738C22semidirect
149. #17988738C22semidirect
150. #17988738C22semidirect
151. #17988736C22semidirect
152. #17988732C22semidirect
153. #17988731C22semidirect
154. #17988730C22semidirect
155. #17988729C22semidirect
156. #17988729C22semidirect
157. #17988729C22semidirect
158. #17988728C22semidirect
159. #17988724C22semidirect
160. #17988724C22semidirect
161. #17988694C22semidirect
162. #17988688C22semidirect
163. #17988684C22semidirect
164. #17988684C22semidirect
165. #17988679C22semidirect
166. #17988679C22semidirect
167. SD16×Dic73C22semidirect
168. D8×Dic73C22semidirect
169. #17988663C22semidirect
170. #17988663C22semidirect
171. #17988662C22semidirect
172. #17988662C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
175. #17988655C22semidirect
176. #17988655C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988594C22semidirect
180. #17988592C22semidirect
181. #17988590C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. #17988583C22semidirect
185. #17988554C22semidirect
186. #17988549C22semidirect
187. #17988549C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. C2×#135×C73C22semidirect
191. #537×C73C22semidirect
193. #452×C73C22semidirect
194. #450×C73C22semidirect
195. #450×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. #447×C73C22semidirect
200. #417×C73C22semidirect
201. C2×#102×C73C22semidirect
202. #408×C73C22semidirect
977. #3012D73semidirect
982. C73#61654semidirect
990. C2×AGL(1,ℤ/8)C2×D73semidirect
991. C2×#135C2×D73semidirect
1025. #537C2×D73semidirect
1099. #452C2×D73semidirect
1109. #450C2×D73semidirect
1110. #450C2×D73semidirect
1118. #449C2×D73semidirect
1122. #447C2×D73semidirect
1123. #447C2×D73semidirect
1147. #417C2×D73semidirect
1149. C2×#102C2×D73semidirect
1151. #408C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242122
#226235932
#226222652
#226222002
#226221552
#226221362
#226220082
#226220012
#226219482
#226219412
#226215902
#226215812
#226215622
#226215252
#226215162
#226214862
#226214452
#226214302
#226210212
#226209992
#226208282
#226208152
#226207422
#226207342
#226201862
#226201382
#226192082
#226191882
#226191692
#226189892
C73×#30122
#6165473