Finite Group Databasebeta

← #33978906

Subgroups — #33978906

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623886C211yesmaximal, characteristic, complemented
2#22623417C211yesmaximal, characteristic, complemented
3#22622970C211yesmaximal, characteristic, complemented
4#22622948C211yesmaximal, characteristic, complemented
5#22622720C211yesmaximal, characteristic, complemented
6#22622646C211yesmaximal, characteristic, complemented
7#22621926C211yesmaximal, characteristic, complemented
8#22621921C211yesmaximal, characteristic, complemented
9#22621896C211yesmaximal, characteristic, complemented
10#22621891C211yesmaximal, characteristic, complemented
11#22621789C211yesmaximal, characteristic, complemented
12#22621737C211yesmaximal, characteristic, complemented
13#22621620C211yesmaximal, characteristic, complemented
14#22621601C211yesmaximal, characteristic, complemented
15#22621425C211yesmaximal, characteristic, complemented
16#22621419C211yesmaximal, characteristic, complemented
17#22621410C211yesmaximal, characteristic, complemented
18#22621404C211yesmaximal, characteristic, complemented
19#22621290C211yesmaximal, characteristic, complemented
20#22621254C211yesmaximal, characteristic, complemented
21#22621251C211yesmaximal, characteristic, complemented
22#22620916C211yesmaximal, characteristic, complemented
23#22620863C211yesmaximal, characteristic, complemented
24#22620071C211yesmaximal, characteristic, complemented
25#22620068C211yesmaximal, characteristic, complemented
26#22619977C211yesmaximal, characteristic, complemented
27#22619393C211yesmaximal, characteristic, complemented
28C2×#17988799C211yesmaximal, characteristic, complemented
29#463×D73C211yesmaximal, characteristic, complemented
30#22619058C211yesmaximal, characteristic, complemented
31C73×#3213C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic, complemented
35C22×#11924015C2211yescharacteristic, complemented
36C2×SD16×D73C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic
38C2×D8×D73C2211yescharacteristic
39#17989319C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989299—21no—
42#17989267—21no—
43#17989263—21no—
44#17989257C2211yescharacteristic, complemented
45#17989252C2211yescharacteristic, complemented
46Q8×C22⋊D73C2211yescharacteristic, complemented
47#17989248C2211yescharacteristic, complemented
48#17989245—21no—
49#17989245C2211yescharacteristic, complemented
50#17989240C2211yescharacteristic, complemented
51#17989237C2211yescharacteristic
52#17989237C2211yescharacteristic, complemented
53#17989231C2211yescharacteristic, complemented
54#17989230—21no—
55#17989230C2211yescharacteristic, complemented
56#17989227—21no—
57#17989226—21no—
58#17989226—21no—
59#17989222C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic
61#17989221C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989201—21no—
64#17989175—21no—
65#17989171—21no—
66#17989136C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989134C2211yescharacteristic, complemented
69#17989121C2211yescharacteristic, complemented
70#17989116C2211yescharacteristic, complemented
71#17989116C2211yescharacteristic, complemented
72#124×D73C2211yescharacteristic, complemented
73#17989096—21no—
74#17989096—21no—
75#17989094—21no—
76#17989060—21no—
77C4×#11924028C2211yescharacteristic
78C2×C4×D292C2211yescharacteristic, complemented
79C4×D4×D73C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988958C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988904C2211yescharacteristic, complemented
93#17988901C2211yescharacteristic, complemented
94#17988899C2211yescharacteristic, complemented
95#17988888C2211yescharacteristic, complemented
96#17988888C2211yescharacteristic, complemented
97#17988887C2211yescharacteristic, complemented
98#17988887C2211yescharacteristic, complemented
99#17988880C2211yescharacteristic, complemented
100#17988879C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988830C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988820C2211yescharacteristic, complemented
113#17988819C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988814C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988805C2211yescharacteristic, complemented
118#17988804C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988803C2211yescharacteristic, complemented
121#17988802C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic
124#17988800C2211yescharacteristic, complemented
125#17988799C2211yescharacteristic
126#17988799C2211yescharacteristic
127#17988799C2211yescharacteristic, complemented
128#17988799C2211yescharacteristic, complemented
129#17988799C2211yescharacteristic, complemented
130#17988799C2211yescharacteristic, complemented
131#17988799C2211yescharacteristic, complemented
132#17988799C2211yescharacteristic, complemented
133#17988791C2211yescharacteristic, complemented
134#17988790C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988785C2211yescharacteristic, complemented
137#17988784C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic
139#17988780C2211yescharacteristic, complemented
140#17988780C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988779C2211yescharacteristic, complemented
143#17988740C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988733C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988727C2211yescharacteristic, complemented
151#17988724C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic
153#17988722C2211yescharacteristic, complemented
154#17988719C2211yescharacteristic
155#17988719C2211yescharacteristic
156#17988719C2211yescharacteristic, complemented
157#17988715C2211yescharacteristic, complemented
158#17988715C2211yescharacteristic, complemented
159#17988700C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165#17988689C2211yescharacteristic, complemented
166#17988688C2211yescharacteristic, complemented
167SD16×Dic73C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169D8×Dic73C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988643C2211yescharacteristic, complemented
178#17988639C2211yescharacteristic, complemented
179#17988609C2211yescharacteristic, complemented
180C2×C4⋊#10596831C2211yescharacteristic, complemented
181C4⋊C8×D73C2211yescharacteristic, complemented
182#17988587C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556515C2211yescharacteristic, complemented
185#103×D73C2211yescharacteristic, complemented
186C2×#14556512C2211yescharacteristic, complemented
187#102×D73C2211yescharacteristic, complemented
188#532×C73C2211yescharacteristic, complemented
189C2×#124×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#496×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#489×C73C2211yescharacteristic, complemented
194#463×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#463×C73C2211yescharacteristic, complemented
198#448×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028D411yescharacteristic
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027C2311yescharacteristic
212#41×D73—48no—
213C2×Q8×D73—21no—
214C2×Q8×D73C2311yescharacteristic
215C22×D292C2311yescharacteristic
216C22×C22⋊D73—21no—
217C2×D4×D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223C22×C4×D73—21no—
224C22×C4×D73—21no—
225C22×C4×D73—21no—
226#14556618—42no—
227#14556615—42no—
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924016C2311yescharacteristic
231C2×#11924016C2311yescharacteristic
232C2×#11924015—42no—
233C2×#11924015C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237SD16×D73—42no—
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×#11924013—42no—
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244C2×#11924013C2311yescharacteristic
245C2×#11924013C2311yescharacteristic
246C2×#11924013C2311yescharacteristic
247D8×D73—42no—
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C22×#10596831C2311yescharacteristic
251C22×#10596831C2311yescharacteristic
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254#14556590C2311yescharacteristic
255#14556590C2311yescharacteristic
256#14556589—21no—
257#14556589C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556587C2311yescharacteristic
261#14556585—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556584—21no—
266#14556583C2311yescharacteristic
267#14556580—21no—
268#14556580C2311yescharacteristic
269#14556579C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556577—21no—
277#14556576—21no—
278#14556576—21no—
279#14556575—21no—
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556570—21no—
291#14556570C2311yescharacteristic
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556567—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567C2311yescharacteristic
303#14556567C2311yescharacteristic
304#14556566C2311yescharacteristic
305#14556566C2311yescharacteristic
306#14556565—21no—
307#14556565C2311yescharacteristic
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556562—21no—
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556562C2311yescharacteristic
325#14556562C2311yescharacteristic
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329#14556560—21no—
330#14556560—21no—
331#14556559—21no—
332#14556559—21no—
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338C4×Dic146D411yescharacteristic
339C4×Dic146C2311yescharacteristic
340C4×Dic146C2311yescharacteristic
341C4×D292—21no—
342C4×D292—21no—
343C4×D292D411yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352D4×Dic73C2311yescharacteristic
353D4×Dic73C2311yescharacteristic
354#14556553C2311yescharacteristic
355#14556553C2311yescharacteristic
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73D411yescharacteristic
364C4×C22⋊D73D411yescharacteristic
365C4×C22⋊D73C2311yescharacteristic
366C4×C22⋊D73C2311yescharacteristic
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551—21no—
372#14556551—21no—
373#14556551—21no—
374#14556551—21no—
375#14556550D411yescharacteristic
376#14556548—21no—
377#14556548D411yescharacteristic
378#14556548D411yescharacteristic
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382C2×C4⋊Dic73C2311yescharacteristic
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C2×C22⋊Dic73—21no—
386C2×#11924005—21no—
387C22⋊C4×D73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73C2311yescharacteristic
393C42×D73C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556525C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556524C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556523C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404C4⋊#10596831C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73—21no—
443C22×Q8×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C4⋊Q8×C73C2311yescharacteristic
454#127×C73C2311yescharacteristic
455#124×C73—21no—
456#124×C73—21no—
457#124×C73—21no—
458#124×C73C2311yescharacteristic
459#124×C73C2311yescharacteristic
460#124×C73C2311yescharacteristic
461#124×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465C4×D4×C73—21no—
466C4×D4×C73C2311yescharacteristic
467C4×D4×C73C2311yescharacteristic
468C2×C22⋊C4×C73—21no—
469C2×C22⋊C4×C73—21no—
470C2×C42×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472C4⋊C8×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×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
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489#11924029—41no—
490#11924029—41no—
491#11924029—44no—
492#11924028—24no—
493#11924028—44no—
494#11924028—44no—
495#11924027—41no—
496#11924027—41no—
497#11924027—44no—
498#11924027—44no—
499#11924027—44no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505Q8×D73—44no—
506Q8×D73—41no—
507Q8×D73—41no—
508C2×D292—22no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—41no—
514C2×D292C2×D411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—44no—
534C2×C22⋊D73C2×D411yescharacteristic
535C2×C22⋊D73C2×D411yescharacteristic
536D4×D73—22no—
537D4×D73—22no—
538D4×D73—41no—
539D4×D73—41no—
540D4×D73—41no—
541D4×D73—41no—
542D4×D73—44no—
543D4×D73—44no—
544D4×D73—44no—
545C22×Dic73—21no—
546C22×Dic73—21no—
547C22×Dic73—21no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C2×C4×D73—21no—
552C2×C4×D73—21no—
553C2×C4×D73—21no—
554C2×C4×D73—21no—
555C2×C4×D73—21no—
556C2×C4×D73—21no—
557C2×C4×D73—21no—
558C2×C4×D73—21no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—44no—
563C2×C4×D73—44no—
564C2×C4×D73—44no—
565C2×C4×D73C2×D411yescharacteristic
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2×D411yescharacteristic
569C2×C4×D73C2411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571#11924017—22no—
572#11924017—41no—
573#11924016—41no—
574#11924016—41no—
575#11924015—22no—
576#11924015—22no—
577#11924015—41no—
578#11924015—41no—
579D584—22no—
580D584—41no—
581#11924013—22no—
582#11924013—22no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924013—41no—
587#11924011—41no—
588#11924011—41no—
589C2×#10596831—41no—
590C2×#10596831—41no—
591C2×#10596831C2411yescharacteristic
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C8×D73—41no—
596C8×D73—41no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2×D411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621#11924007C2×D411yescharacteristic
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⋊Dic73C2×D411yescharacteristic
634C22⋊Dic73C2×D411yescharacteristic
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654#11924005C2×D411yescharacteristic
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73C2×D411yescharacteristic
659C4×Dic73C2×D411yescharacteristic
660C4×Dic73C2×D411yescharacteristic
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2411yescharacteristic
663C4×Dic73C2411yescharacteristic
664C24×C73—21no—
665#41×C73—44no—
666C2×Q8×C73—21no—
667C2×Q8×C73—21no—
668C2×Q8×C73—41no—
669C2×Q8×C73—41no—
670C2×Q8×C73C2411yescharacteristic
671C2×Q8×C73C2411yescharacteristic
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—41no—
678C2×D4×C73—41no—
679C2×D4×C73C2411yescharacteristic
680C2×D4×C73C2411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C22×C4×C73—21no—
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73C2×D411yescharacteristic
687C22×C4×C73C2×D411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689SD16×C73—41no—
690SD16×C73—41no—
691SD16×C73—41no—
692SD16×C73—41no—
693D8×C73—41no—
694D8×C73—41no—
695D8×C73—41no—
696D8×C73—41no—
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C4⋊C4×C73—21no—
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C42×C73C2×D411yescharacteristic
717C42×C73C2×D411yescharacteristic
718C42×C73C2411yescharacteristic
719C42×C73C2411yescharacteristic
720C23×C73—21no—
721C23×C73—21no—
722C23×C73—21no—
723C23×C73—21no—
724C23×C73—42no—
725C23×C73—81no—
726C23×C73—81no—
727C23×C73C22×D411yescharacteristic
728C22×D73—21no—
729C22×D73—21no—
730C22×D73—21no—
731C22×D73—42no—
732C22×D73—42no—
733C22×D73—42no—
734C22×D73—42no—
735C22×D73—42no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—81no—
739C22×D73—81no—
740C22×D73—81no—
741C22×D73—81no—
742C22×D73—81no—
743C22×D73C22×D411yescharacteristic
744C22×D73C22×D411yescharacteristic
745Q8×C73—21no—
746Q8×C73—21no—
747Q8×C73—21no—
748Q8×C73—21no—
749Q8×C73—42no—
750Q8×C73—81no—
751D4×C73—21no—
752D4×C73—21no—
753D4×C73—21no—
754D4×C73—21no—
755D4×C73—21no—
756D4×C73—21no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—42no—
760D4×C73—42no—
761D4×C73—42no—
762D4×C73—81no—
763D4×C73—81no—
764C2×C4×C73—22no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—41no—
772C2×C4×C73—42no—
773C2×C4×C73—42no—
774C2×C4×C73—81no—
775C2×C4×C73C22×D411yescharacteristic
776C2×C4×C73C22×D411yescharacteristic
777C2×C4×C73C22×D411yescharacteristic
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C2511yescharacteristic
781C22⋊D73—22no—
782C22⋊D73—42no—
783C22⋊D73—42no—
784C22⋊D73—42no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—81no—
792C22⋊D73—81no—
793C22⋊D73—81no—
794C22⋊D73—81no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73AGL(1,ℤ/8)14yescomplemented
798C2×Dic73—21no—
799C2×Dic73—21no—
800C2×Dic73—21no—
801C2×Dic73—21no—
802C2×Dic73—21no—
803C2×Dic73—42no—
804C2×Dic73—42no—
805C2×Dic73—42no—
806C2×Dic73—42no—
807C2×Dic73—81no—
808C2×Dic73—81no—
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814C2×Dic73C22×D411yescharacteristic
815D292—22no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—42no—
822D292—42no—
823D292—42no—
824D292—81no—
825D292H(5,𝔽2)12yes—
826C4×D73—22no—
827C4×D73—21no—
828C4×D73—21no—
829C4×D73—21no—
830C4×D73—21no—
831C4×D73—22no—
832C4×D73—41no—
833C4×D73—41no—
834C4×D73—42no—
835C4×D73—42no—
836C4×D73—42no—
837C4×D73—42no—
838C4×D73—42no—
839C4×D73—42no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—81no—
843C4×D73—81no—
844C4×D73—81no—
845Dic146—22no—
846Dic146—21no—
847Dic146—21no—
848Dic146—42no—
849Dic146—42no—
850Dic146—81no—
851C8×C73—21no—
852C8×C73—21no—
853C8×C73—21no—
854C8×C73—21no—
855#10596831—21no—
856#10596831—21no—
857#10596831—21no—
858#10596831—21no—
859C22×C73—21no—
860C22×C73—21no—
861C22×C73—41no—
862C22×C73—41no—
863C22×C73—41no—
864C22×C73—41no—
865C22×C73—41no—
866C22×C73—41no—
867C22×C73—41no—
868C22×C73—41no—
869C22×C73—41no—
870C22×C73—41no—
871C22×C73—41no—
872C22×C73—41no—
873C22×C73—162no—
874C22×C73C2×AGL(1,ℤ/8)12yes—
875C22×C73C23×D411yescharacteristic
876C2×D73—21no—
877C2×D73—21no—
878C2×D73—21no—
879C2×D73—21no—
880C2×D73—22no—
881C2×D73—21no—
882C2×D73—41no—
883C2×D73—41no—
884C2×D73—41no—
885C2×D73—41no—
886C2×D73—41no—
887C2×D73—41no—
888C2×D73—41no—
889C2×D73—41no—
890C2×D73—84no—
891C2×D73—84no—
892C2×D73—84no—
893C2×D73—162no—
894C2×D73C2×AGL(1,ℤ/8)12yes—
895C4×C73—21no—
896C4×C73—21no—
897C4×C73—21no—
898C4×C73—21no—
899C4×C73—21no—
900C4×C73—41no—
901C4×C73—41no—
902C4×C73—41no—
903C4×C73—41no—
904C4×C73C2×H(5,𝔽2)11yescharacteristic
905C4×C73#58511yescharacteristic
906Dic73—21no—
907Dic73—21no—
908Dic73—21no—
909Dic73—21no—
910Dic73—21no—
911Dic73—41no—
912Dic73—41no—
913Dic73—41no—
914Dic73—41no—
915Dic73—41no—
916Dic73C2×AGL(1,ℤ/8)12yes—
917#61989—731nomaximal, Sylow
918C2×C73—22no—
919C2×C73—81no—
920C2×C73—81no—
921C2×C73—81no—
922C2×C73—81no—
923C2×C73#348811yescharacteristic
924C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
925C2×C73#358411yescharacteristic
926D73—22no—
927D73—41no—
928D73—42no—
929D73—81no—
930D73—81no—
931#3514—731no—
932D4×#41—731no—
933#3399—731no—
934#3397—731no—
935#3373—731no—
936#3367—731no—
937#3308—731no—
938#3308—731no—
939#3306—731no—
940#3306—731no—
941#3298—731no—
942#3294—731no—
943D4×SD16—731no—
944D4×D8—731no—
945#3265—731no—
946#3265—731no—
947#3264—731no—
948#3264—731no—
949#3251—731no—
950#3247—731no—
951#3247—731no—
952#3213—731no—
953#3213D7311yescharacteristic, complemented
954#3207—731no—
955#3114—731no—
956#3114—731no—
957#3105—731no—
958#3036—731no—
959C2×#463—731no—
960C2×#463—731no—
961#2990—731no—
962C73#6198911yescharacteristic, complemented, Sylow
963C22×#41—1461no—
964C2×AGL(1,ℤ/8)—731no—
965C2×AGL(1,ℤ/8)—731no—
966C22×SD16—731no—
967C22×SD16—731no—
968C22×D8—731no—
969C22×D8—731no—
970#559—731no—
971#556—731no—
972#555—1461no—
973#551—1461no—
974#551—1461no—
975#550—731no—
976D4×Q8—731no—
977D4×Q8—731no—
978#548—731no—
979#548—731no—
980#548—1461no—
981#547—731no—
982#547—731no—
983#547—731no—
984#546—731no—
985#546—731no—
986#546—1461no—
987#546—1461no—
988#546—1461no—
989#546—1461no—
990D42—731no—
991D42—731no—
992D42—731no—
993D42—731no—
994#542—1461no—
995#538—1461no—
996#538—1461no—
997#532—731no—
998#532—731no—
999#532—731no—
1000#532C2×D7311yescharacteristic, complemented
1001#529—731no—
1002#529—731no—
1003#529—731no—
1004C2×#124—731no—
1005C2×#124C2×D7311yescharacteristic, complemented
1006#525—1461no—
1007#525—1461no—
1008#525—1461no—
1009#518—1461no—
1010C4×#41—731no—
1011C2×C4×D4—731no—
1012C2×C4×D4—731no—
1013C2×C4×D4—731no—
1014#496—731no—
1015#496—731no—
1016#496C2×D7311yescharacteristic, complemented
1017#496C2×D7311yescharacteristic, complemented
1018#493—731no—
1019#492—731no—
1020#489—731no—
1021#489—731no—
1022#489C2×D7311yescharacteristic, complemented
1023#489C2×D7311yescharacteristic, complemented
1024#487—731no—
1025#486—731no—
1026#484—731no—
1027#483—731no—
1028#483—731no—
1029#481—731no—
1030#480—731no—
1031#480—731no—
1032#478—731no—
1033#478—731no—
1034#478—731no—
1035#478—731no—
1036#477—731no—
1037#477—731no—
1038#476—731no—
1039#476—731no—
1040#475—731no—
1041#474—731no—
1042#469—731no—
1043#469—731no—
1044#468—731no—
1045#468—731no—
1046#466—731no—
1047#466—731no—
1048#466—731no—
1049#466—731no—
1050#465—731no—
1051#465—731no—
1052#465—731no—
1053#465—731no—
1054#463—731no—
1055#463—731no—
1056#463—731no—
1057#463—731no—
1058#463—731no—
1059#463—731no—
1060#463—731no—
1061#463—731no—
1062#463—731no—
1063#463—731no—
1064#463—731no—
1065#463—731no—
1066#463—731no—
1067#463—731no—
1068#463—731no—
1069#463—731no—
1070#463C2×D7311yescharacteristic, complemented
1071#463C2×D7311yescharacteristic, complemented
1072#463C2×D7311yescharacteristic, complemented
1073#463C2×D7311yescharacteristic, complemented
1074#461—731no—
1075#461—731no—
1076#460—731no—
1077#460—731no—
1078#460—731no—
1079#459—731no—
1080#459—731no—
1081#459—731no—
1082#459—731no—
1083#459—731no—
1084#450—731no—
1085#450—731no—
1086#450—731no—
1087#449—731no—
1088#449—731no—
1089#449—731no—
1090#449—731no—
1091#448—731no—
1092#448—731no—
1093#448C2×D7311yescharacteristic, complemented
1094#448C2×D7311yescharacteristic, complemented
1095#447—731no—
1096#447—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447C2×D7311yescharacteristic, complemented
1101#447C2×D7311yescharacteristic, complemented
1102#446—731no—
1103#446—731no—
1104#442—731no—
1105#442—731no—
1106#442—731no—
1107#442—731no—
1108#440—731no—
1109#440—731no—
1110#440—731no—
1111#440—731no—
1112C4×SD16—731no—
1113C4×SD16—731no—
1114C4×D8—731no—
1115C4×D8—731no—
1116#435—731no—
1117#435—731no—
1118#435—731no—
1119#435—731no—
1120C8×D4—731no—
1121C8×D4—731no—
1122#432—731no—
1123#432C2×D7311yescharacteristic, complemented
1124#431—731no—
1125#423—731no—
1126C2×C4⋊C8—731no—
1127C2×C4⋊C8—731no—
1128#417—731no—
1129#417—731no—
1130C2×#103—731no—
1131C2×#103—731no—
1132C2×#102—731no—
1133C2×#102—731no—
1134C2×#41—21no—
1135C2×#41—2928no—
1136C2×#41—731no—
1137C2×#41—731no—
1138C2×#41—731no—
1139C2×#41—1461no—
1140C2×#41—1461no—
1141C2×#41—1461no—
1142C2×#41—1461no—
1143C2×#41—1461no—
1144C2×#41—1461no—
1145C22×Q8—731no—
1146C22×Q8—1461no—
1147C22×Q8C22×D7311yescharacteristic
1148C22×D4—731no—
1149C22×D4—731no—
1150C22×D4—731no—
1151C22×D4—731no—
1152C22×D4—1461no—
1153C22×D4—1461no—
1154C22×D4—1461no—
1155C22×D4—1461no—
1156C22×D4C22×D7311yescharacteristic
1157C23×C4—1461no—
1158C23×C4—1461no—
1159C23×C4—1461no—
1160AGL(1,ℤ/8)—2922no—
1161AGL(1,ℤ/8)—2922no—
1162C2×SD16—2922no—
1163C2×SD16—2922no—
1164C2×SD16—731no—
1165C2×SD16—731no—
1166C2×SD16—731no—
1167C2×SD16—731no—
1168C2×SD16—731no—
1169C2×SD16—731no—
1170C2×SD16—731no—
1171C2×SD16—731no—
1172C2×SD16C22×D7311yescharacteristic
1173C2×SD16C22×D7311yescharacteristic
1174C2×SD16C22×D7311yescharacteristic
1175C2×SD16C22×D7311yescharacteristic
1176C2×D8—2922no—
1177C2×D8—2922no—
1178C2×D8—731no—
1179C2×D8—731no—
1180C2×D8—731no—
1181C2×D8—731no—
1182C2×D8—731no—
1183C2×D8—731no—
1184C2×D8—731no—
1185C2×D8—731no—
1186C2×D8C22×D7311yescharacteristic
1187C2×D8C22×D7311yescharacteristic
1188C2×D8C22×D7311yescharacteristic
1189C2×D8C22×D7311yescharacteristic
1190C2×M16—731no—
1191C2×M16—731no—
1192C22×C8—731no—
1193C22×C8—731no—
1194C22×C8—731no—
1195C22×C8—731no—
1196C4⋊Q8—731no—
1197C4⋊Q8—731no—
1198C4⋊Q8—731no—
1199C4⋊Q8—1461no—
1200C4⋊Q8C22×D7311yescharacteristic
1201#127—731no—
1202#127—731no—
1203#127—731no—
1204#127C22×D7311yescharacteristic
1205#126—1461no—
1206#126—1461no—
1207#126—1461no—
1208#126—1461no—
1209#126—1461no—
1210#125—731no—
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—731no—
1215#124—731no—
1216#124—731no—
1217#124—1461no—
1218#124—1461no—
1219#124—1461no—
1220#124—1461no—
1221#124—1461no—
1222#124—1461no—
1223#124—1461no—
1224#124C22×D7311yescharacteristic
1225#124C22×D7311yescharacteristic
1226#124C22×D7311yescharacteristic
1227#124C22×D7311yescharacteristic
1228#123—1461no—
1229#123—1461no—
1230#123—1461no—
1231#123—1461no—
1232#123—1461no—
1233#123—1461no—
1234#123—1461no—
1235#123—1461no—
1236#123—1461no—
1237#123—1461no—
1238#123—1461no—
1239#123—1461no—
1240#123—1461no—
1241C22⋊Q8—731no—
1242C22⋊Q8—731no—
1243C22⋊Q8—731no—
1244C22⋊Q8—1461no—
1245C22⋊Q8—1461no—
1246C22⋊Q8—1461no—
1247C22⋊Q8—1461no—
1248C22⋊Q8—1461no—
1249C22⋊Q8—1461no—
1250C22⋊Q8—1461no—
1251C22⋊Q8—1461no—
1252C22⋊Q8—1461no—
1253C22⋊Q8—1461no—
1254C22⋊Q8—1461no—
1255#121—21no—
1256#121—731no—
1257#121—731no—
1258#121—731no—
1259#121—731no—
1260#121—731no—
1261#121—731no—
1262#121—731no—
1263#121—1461no—
1264#121—1461no—
1265#121—1461no—
1266#121—1461no—
1267#121—1461no—
1268#121—1461no—
1269#121—1461no—
1270#121—1461no—
1271#121—1461no—
1272#121—1461no—
1273#121—1461no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121C22×D7311yescharacteristic
1279#121C22×D7311yescharacteristic
1280#120—1461no—
1281#120—1461no—
1282#120—1461no—
1283#120—1461no—
1284#120—1461no—
1285#120—1461no—
1286#120—1461no—
1287#120—1461no—
1288#120—1461no—
1289#120—1461no—
1290C4×Q8—731no—
1291C4×Q8—731no—
1292C4×Q8—731no—
1293C4×Q8—731no—
1294C4×Q8—731no—
1295C4×D4—21no—
1296C4×D4—731no—
1297C4×D4—731no—
1298C4×D4—731no—
1299C4×D4—731no—
1300C4×D4—731no—
1301C4×D4—731no—
1302C4×D4—731no—
1303C4×D4—731no—
1304C4×D4—731no—
1305C4×D4—731no—
1306C4×D4—731no—
1307C4×D4—731no—
1308C4×D4—731no—
1309C4×D4—731no—
1310C4×D4—731no—
1311C4×D4—731no—
1312C4×D4—731no—
1313C4×D4—1461no—
1314C4×D4—1461no—
1315C4×D4—1461no—
1316C4×D4—1461no—
1317C4×D4—1461no—
1318C4×D4—1461no—
1319C4×D4—1461no—
1320C4×D4—1461no—
1321C4×D4—1461no—
1322C4×D4—1461no—
1323C4×D4—1461no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4C22×D7311yescharacteristic
1331C4×D4C22×D7311yescharacteristic
1332#117—731no—
1333#117—731no—
1334#117—731no—
1335#117—1461no—
1336#117—1461no—
1337#117—1461no—
1338#117—1461no—
1339C2×C4⋊C4—731no—
1340C2×C4⋊C4—731no—
1341C2×C4⋊C4—731no—
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—21no—
1344C2×C22⋊C4—1461no—
1345C2×C22⋊C4—1461no—
1346C2×C22⋊C4—1461no—
1347C2×C22⋊C4—1461no—
1348C2×C22⋊C4—1461no—
1349C2×C22⋊C4—1461no—
1350C2×C22⋊C4—1461no—
1351C2×C42—731no—
1352C2×C42—731no—
1353C2×C42C22×D7311yescharacteristic
1354#107—731no—
1355#107—731no—
1356#107—731no—
1357#107—731no—
1358#106—731no—
1359#106—731no—
1360#106—731no—
1361#106—731no—
1362C4⋊C8—731no—
1363C4⋊C8—731no—
1364C4⋊C8—731no—
1365C4⋊C8—731no—
1366C4⋊C8—731no—
1367C4⋊C8—731no—
1368C4⋊C8—731no—
1369C4⋊C8—731no—
1370C4⋊C8C22×D7311yescharacteristic
1371C4⋊C8C22×D7311yescharacteristic
1372#103—731no—
1373#103—731no—
1374#103—731no—
1375#103—731no—
1376#103—731no—
1377#103—731no—
1378#103—731no—
1379#103—731no—
1380#103C22×D7311yescharacteristic
1381#103C22×D7311yescharacteristic
1382#103C22×D7311yescharacteristic
1383#103C22×D7311yescharacteristic
1384#102—731no—
1385#102—731no—
1386#102—731no—
1387#102—731no—
1388#102—731no—
1389#102—731no—
1390#102—731no—
1391#102—731no—
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102C22×D7311yescharacteristic
1401#102C22×D7311yescharacteristic
1402#102C22×D7311yescharacteristic
1403#102C22×D7311yescharacteristic
1404C22⋊C8—731no—
1405C22⋊C8—731no—
1406C22⋊C8—731no—
1407C22⋊C8—731no—
1408C22⋊C8C22×D7311yescharacteristic
1409C22⋊C8C22×D7311yescharacteristic
1410#97—731no—
1411#97—731no—
1412#97C22×D7311yescharacteristic
1413#97C22×D7311yescharacteristic
1414C4×C8—731no—
1415C4×C8—731no—
1416C24—21no—
1417C24—1461no—
1418C24—1461no—
1419C24—1461no—
1420C24—1461no—
1421#41—44no—
1422#41—2924no—
1423#41—2924no—
1424#41—2924no—
1425#41—2924no—
1426#41—2924no—
1427#41—2924no—
1428#41—2921no—
1429#41—2921no—
1430#41—2921no—
1431#41—2921no—
1432#41—1464no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—41no—
1436C2×Q8—41no—
1437C2×Q8—2924no—
1438C2×Q8—2921no—
1439C2×Q8—2921no—
1440C2×Q8—731no—
1441C2×Q8—731no—
1442C2×Q8—1461no—
1443C2×Q8—1461no—
1444C2×Q8—1461no—
1445C2×Q8C23×D7311yescharacteristic
1446C2×Q8C23×D7311yescharacteristic
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—41no—
1453C2×D4—41no—
1454C2×D4—2921no—
1455C2×D4—2924no—
1456C2×D4—2924no—
1457C2×D4—2924no—
1458C2×D4—2924no—
1459C2×D4—2921no—
1460C2×D4—2921no—
1461C2×D4—2921no—
1462C2×D4—2921no—
1463C2×D4—731no—
1464C2×D4—731no—
1465C2×D4—731no—
1466C2×D4—731no—
1467C2×D4—731no—
1468C2×D4—731no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1462no—
1472C2×D4—1461no—
1473C2×D4—1461no—
1474C2×D4—1461no—
1475C2×D4—1461no—
1476C2×D4—1461no—
1477C2×D4—1461no—
1478C2×D4—1461no—
1479C2×D4—1461no—
1480C2×D4—1461no—
1481C2×D4—1461no—
1482C2×D4—1462no—
1483C2×D4—1462no—
1484C2×D4—1461no—
1485C2×D4—1461no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1461no—
1489C2×D4—1461no—
1490C2×D4—1461no—
1491C2×D4C23×D7311yescharacteristic
1492C2×D4C23×D7311yescharacteristic
1493C2×D4C23×D7311yescharacteristic
1494C2×D4C23×D7311yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—2924no—
1499C22×C4—2924no—
1500C22×C4—2924no—
1501C22×C4—731no—
1502C22×C4—731no—
1503C22×C4—731no—
1504C22×C4—731no—
1505C22×C4—731no—
1506C22×C4—731no—
1507C22×C4—1461no—
1508C22×C4—1461no—
1509C22×C4—1461no—
1510C22×C4—1461no—
1511C22×C4—1461no—
1512C22×C4—1461no—
1513C22×C4—1461no—
1514C22×C4—1461no—
1515C22×C4—1461no—
1516C22×C4—1461no—
1517C22×C4—1461no—
1518C22×C4—1461no—
1519C22×C4—1461no—
1520C22×C4—1461no—
1521C22×C4—1461no—
1522C22×C4—1461no—
1523C22×C4—1461no—
1524C22×C4D4×D7311yescharacteristic
1525C22×C4D4×D7311yescharacteristic
1526C22×C4C23×D7311yescharacteristic
1527SD16—41no—
1528SD16—41no—
1529SD16—41no—
1530SD16—41no—
1531SD16—2921no—
1532SD16—2921no—
1533SD16—2921no—
1534SD16—2921no—
1535SD16—2921no—
1536SD16—1462no—
1537SD16—1462no—
1538SD16—1462no—
1539D8—41no—
1540D8—41no—
1541D8—41no—
1542D8—41no—
1543D8—2921no—
1544D8—2921no—
1545D8—2921no—
1546D8—2921no—
1547D8—2921no—
1548D8—1462no—
1549D8—1462no—
1550D8—1462no—
1551M16—2921no—
1552M16—2921no—
1553C2×C8—2921no—
1554C2×C8—2921no—
1555C2×C8—2921no—
1556C2×C8—2921no—
1557C2×C8—731no—
1558C2×C8—731no—
1559C2×C8—731no—
1560C2×C8—731no—
1561C2×C8C23×D7311yescharacteristic
1562C2×C8C23×D7311yescharacteristic
1563C2×C8C23×D7311yescharacteristic
1564C2×C8C23×D7311yescharacteristic
1565C4⋊C4—21no—
1566C4⋊C4—731no—
1567C4⋊C4—731no—
1568C4⋊C4—731no—
1569C4⋊C4—731no—
1570C4⋊C4—731no—
1571C4⋊C4—731no—
1572C4⋊C4—731no—
1573C4⋊C4—731no—
1574C4⋊C4—731no—
1575C4⋊C4—731no—
1576C4⋊C4—1461no—
1577C4⋊C4—1461no—
1578C4⋊C4—1461no—
1579C4⋊C4—1461no—
1580C4⋊C4—1461no—
1581C4⋊C4—1461no—
1582C4⋊C4—1461no—
1583C4⋊C4—1461no—
1584C4⋊C4—1461no—
1585C4⋊C4—1461no—
1586C4⋊C4—1461no—
1587C4⋊C4—1461no—
1588C4⋊C4—1461no—
1589C4⋊C4—1461no—
1590C4⋊C4—1461no—
1591C4⋊C4C23×D7311yescharacteristic
1592C4⋊C4C23×D7311yescharacteristic
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—731no—
1606C22⋊C4—731no—
1607C22⋊C4—731no—
1608C22⋊C4—731no—
1609C22⋊C4—731no—
1610C22⋊C4—731no—
1611C22⋊C4—1461no—
1612C22⋊C4—1461no—
1613C22⋊C4—1461no—
1614C22⋊C4—1461no—
1615C22⋊C4—1461no—
1616C22⋊C4—1461no—
1617C22⋊C4—1461no—
1618C22⋊C4—1461no—
1619C22⋊C4—1461no—
1620C22⋊C4—1461no—
1621C22⋊C4—1461no—
1622C22⋊C4—1461no—
1623C22⋊C4—1461no—
1624C22⋊C4—1461no—
1625C22⋊C4—1461no—
1626C22⋊C4—1461no—
1627C22⋊C4—1461no—
1628C22⋊C4—1461no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C42—731no—
1639C42—731no—
1640C42—731no—
1641C42—731no—
1642C42—731no—
1643C42—731no—
1644C42—1461no—
1645C42—1461no—
1646C42—1461no—
1647C42D4×D7311yescharacteristic
1648C42D4×D7311yescharacteristic
1649C42C23×D7311yescharacteristic
1650C42C23×D7311yescharacteristic
1651C23—21no—
1652C23—21no—
1653C23—21no—
1654C23—21no—
1655C23—42no—
1656C23—81no—
1657C23—81no—
1658C23—2922no—
1659C23—2922no—
1660C23—2922no—
1661C23—2922no—
1662C23—2922no—
1663C23—2922no—
1664C23—2922no—
1665C23—5841no—
1666C23—5841no—
1667C23—5841no—
1668C23—5841no—
1669C23—5841no—
1670C23—731no—
1671C23—731no—
1672C23—1461no—
1673C23—1461no—
1674C23—1461no—
1675C23C2×D4×D7311yescharacteristic
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—42no—
1681Q8—81no—
1682Q8—2922no—
1683Q8—2922no—
1684Q8—5841no—
1685Q8—1462no—
1686Q8—1461no—
1687Q8—1461no—
1688D4—21no—
1689D4—21no—
1690D4—21no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—21no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—81no—
1700D4—81no—
1701D4—2922no—
1702D4—2922no—
1703D4—2922no—
1704D4—2922no—
1705D4—2922no—
1706D4—2922no—
1707D4—2922no—
1708D4—2922no—
1709D4—2922no—
1710D4—2922no—
1711D4—2922no—
1712D4—2922no—
1713D4—5841no—
1714D4—5841no—
1715D4—5841no—
1716D4—5841no—
1717D4—5841no—
1718D4—5841no—
1719D4—5841no—
1720D4—734no—
1721D4—732no—
1722D4—1462no—
1723D4—1462no—
1724D4—1461no—
1725D4—1461no—
1726D4—1461no—
1727D4—1461no—
1728D4—1461no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—41no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—81no—
1740C2×C4—2922no—
1741C2×C4—2922no—
1742C2×C4—2922no—
1743C2×C4—2922no—
1744C2×C4—2921no—
1745C2×C4—2921no—
1746C2×C4—2922no—
1747C2×C4—2922no—
1748C2×C4—2922no—
1749C2×C4—2922no—
1750C2×C4—2922no—
1751C2×C4—2922no—
1752C2×C4—2922no—
1753C2×C4—2922no—
1754C2×C4—5841no—
1755C2×C4—5841no—
1756C2×C4—5841no—
1757C2×C4—5841no—
1758C2×C4—5841no—
1759C2×C4—731no—
1760C2×C4—731no—
1761C2×C4—731no—
1762C2×C4—731no—
1763C2×C4—731no—
1764C2×C4—731no—
1765C2×C4—1462no—
1766C2×C4—1462no—
1767C2×C4—1461no—
1768C2×C4—1461no—
1769C2×C4—1461no—
1770C2×C4—1461no—
1771C2×C4—1461no—
1772C2×C4—1461no—
1773C2×C4—1461no—
1774C2×C4—1461no—
1775C2×C4—1461no—
1776C2×C4C2×D4×D7311yescharacteristic
1777C2×C4C2×D4×D7311yescharacteristic
1778C2×C4C2×D4×D7311yescharacteristic
1779C2×C4C2×D4×D7311yescharacteristic
1780C2×C4C2×D4×D7311yescharacteristic
1781C2×C4C24×D7311yescharacteristic
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—1461no—
1787C8—1461no—
1788C8—1461no—
1789C8—1461no—
1790C22—21no—
1791C22—21no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—41no—
1804C22—162no—
1805C22—2921no—
1806C22—2921no—
1807C22—2921no—
1808C22—2921no—
1809C22—2921no—
1810C22—2921no—
1811C22—2921no—
1812C22—2921no—
1813C22—5844no—
1814C22—5844no—
1815C22—5844no—
1816C22—732no—
1817C22—11682no—
1818C22—1461no—
1819C22—1462no—
1820C22—1461no—
1821C22—1461no—
1822C22—1461no—
1823C22—1461no—
1824C22AGL(1,ℤ/8)×D7312yes—
1825C22C22×D4×D7311yescharacteristic
1826C4—21no—
1827C4—21no—
1828C4—21no—
1829C4—21no—
1830C4—21no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—2921no—
1836C4—2921no—
1837C4—2921no—
1838C4—2921no—
1839C4—2921no—
1840C4—732no—
1841C4—1461no—
1842C4—1461no—
1843C4—1461no—
1844C4—1461no—
1845C4—1461no—
1846C4H(5,𝔽2)×D7311yescharacteristic
1847C4#1798942211yescharacteristic
1848C2—22no—
1849C2—81no—
1850C2—81no—
1851C2—81no—
1852C2—81no—
1853C2—2922no—
1854C2—2921no—
1855C2—5841no—
1856C2—5841no—
1857C2—1462no—
1858C2#2262359811yescharacteristic
1859C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1860C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3213C2
socleC22×C73C23×D4
hypercenter#3213D73
hypocenterC73#61989
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #22623886C2semidirect
2. #22623417C2semidirect
3. #22622970C2semidirect
4. #22622948C2semidirect
5. #22622720C2semidirect
6. #22622646C2semidirect
7. #22621926C2semidirect
8. #22621921C2semidirect
9. #22621896C2semidirect
10. #22621891C2semidirect
11. #22621789C2semidirect
12. #22621737C2semidirect
13. #22621620C2semidirect
14. #22621601C2semidirect
15. #22621425C2semidirect
16. #22621419C2semidirect
17. #22621410C2semidirect
18. #22621404C2semidirect
19. #22621290C2semidirect
20. #22621254C2semidirect
21. #22621251C2semidirect
22. #22620916C2semidirect
23. #22620863C2semidirect
24. #22620071C2semidirect
25. #22620068C2semidirect
26. #22619977C2semidirect
27. #22619393C2semidirect
28. C2×#17988799C2semidirect
29. #463×D73C2semidirect
30. #22619058C2semidirect
31. C73×#3213C2semidirect
33. C2×#14556618C22semidirect
34. C2×#14556615C22semidirect
35. C22×#11924015C22semidirect
36. C2×SD16×D73C22semidirect
39. #17989319C22semidirect
40. #17989306C22semidirect
44. #17989257C22semidirect
45. #17989252C22semidirect
46. Q8×C22⋊D73C22semidirect
47. #17989248C22semidirect
49. #17989245C22semidirect
50. #17989240C22semidirect
52. #17989237C22semidirect
53. #17989231C22semidirect
55. #17989230C22semidirect
59. #17989222C22semidirect
61. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
66. #17989136C22semidirect
67. #17989134C22semidirect
68. #17989134C22semidirect
69. #17989121C22semidirect
70. #17989116C22semidirect
71. #17989116C22semidirect
72. #124×D73C22semidirect
78. C2×C4×D292C22semidirect
79. C4×D4×D73C22semidirect
80. C4×D4×D73C22semidirect
81. #17988975C22semidirect
82. #17988973C22semidirect
83. #17988962C22semidirect
84. #17988958C22semidirect
85. #17988948C22semidirect
86. #17988945C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988921C22semidirect
90. #17988918C22semidirect
91. #17988916C22semidirect
92. #17988904C22semidirect
93. #17988901C22semidirect
94. #17988899C22semidirect
95. #17988888C22semidirect
96. #17988888C22semidirect
97. #17988887C22semidirect
98. #17988887C22semidirect
99. #17988880C22semidirect
100. #17988879C22semidirect
101. #17988875C22semidirect
102. #17988874C22semidirect
103. #17988870C22semidirect
104. #17988865C22semidirect
105. #17988839C22semidirect
106. #17988837C22semidirect
107. #17988836C22semidirect
108. #17988830C22semidirect
109. #17988822C22semidirect
110. #17988821C22semidirect
111. #17988821C22semidirect
112. #17988820C22semidirect
113. #17988819C22semidirect
114. #17988814C22semidirect
115. #17988814C22semidirect
116. #17988813C22semidirect
117. #17988805C22semidirect
118. #17988804C22semidirect
119. #17988803C22semidirect
120. #17988803C22semidirect
121. #17988802C22semidirect
122. #17988802C22semidirect
124. #17988800C22semidirect
127. #17988799C22semidirect
128. #17988799C22semidirect
129. #17988799C22semidirect
130. #17988799C22semidirect
131. #17988799C22semidirect
132. #17988799C22semidirect
133. #17988791C22semidirect
134. #17988790C22semidirect
135. #17988785C22semidirect
136. #17988785C22semidirect
137. #17988784C22semidirect
139. #17988780C22semidirect
140. #17988780C22semidirect
141. #17988780C22semidirect
142. #17988779C22semidirect
143. #17988740C22semidirect
144. #17988736C22semidirect
145. #17988736C22semidirect
146. #17988735C22semidirect
147. #17988733C22semidirect
148. #17988731C22semidirect
149. #17988729C22semidirect
150. #17988727C22semidirect
151. #17988724C22semidirect
153. #17988722C22semidirect
156. #17988719C22semidirect
157. #17988715C22semidirect
158. #17988715C22semidirect
159. #17988700C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988696C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. #17988689C22semidirect
166. #17988688C22semidirect
167. SD16×Dic73C22semidirect
168. #17988672C22semidirect
169. D8×Dic73C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988655C22semidirect
174. #17988655C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988643C22semidirect
178. #17988639C22semidirect
179. #17988609C22semidirect
180. C2×C4⋊#10596831C22semidirect
181. C4⋊C8×D73C22semidirect
182. #17988587C22semidirect
183. #17988585C22semidirect
184. C2×#14556515C22semidirect
185. #103×D73C22semidirect
186. C2×#14556512C22semidirect
187. #102×D73C22semidirect
188. #532×C73C22semidirect
189. C2×#124×C73C22semidirect
190. #496×C73C22semidirect
191. #496×C73C22semidirect
192. #489×C73C22semidirect
193. #489×C73C22semidirect
194. #463×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #463×C73C22semidirect
198. #448×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #447×C73C22semidirect
202. #432×C73C22semidirect
797. C22⋊D73AGL(1,ℤ/8)semidirect
953. #3213D73semidirect
962. C73#61989semidirect
1000. #532C2×D73semidirect
1005. C2×#124C2×D73semidirect
1016. #496C2×D73semidirect
1017. #496C2×D73semidirect
1022. #489C2×D73semidirect
1023. #489C2×D73semidirect
1070. #463C2×D73semidirect
1071. #463C2×D73semidirect
1072. #463C2×D73semidirect
1073. #463C2×D73semidirect
1093. #448C2×D73semidirect
1094. #448C2×D73semidirect
1100. #447C2×D73semidirect
1101. #447C2×D73semidirect
1123. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226238862
#226234172
#226229702
#226229482
#226227202
#226226462
#226219262
#226219212
#226218962
#226218912
#226217892
#226217372
#226216202
#226216012
#226214252
#226214192
#226214102
#226214042
#226212902
#226212542
#226212512
#226209162
#226208632
#226200712
#226200682
#226199772
#226193932
C2×#179887992
#463×D732
#226190582
C73×#32132
#6198973