Finite Group Databasebeta

← #33972215

Subgroups — #33972215

Order 18688.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624251C211yesmaximal, characteristic, complemented
2#22623600C211yesmaximal, characteristic, complemented
3#22622091C211yesmaximal, characteristic, complemented
4#22621948C211yesmaximal, characteristic, complemented
5#22621941C211yesmaximal, characteristic, complemented
6#22621918C211yesmaximal, characteristic, complemented
7#22621874C211yesmaximal, characteristic, complemented
8#22621814C211yesmaximal, characteristic, complemented
9#22621774C211yesmaximal, characteristic, complemented
10#22621740C211yesmaximal, characteristic, complemented
11#22621684C211yesmaximal, characteristic, complemented
12#22621638C211yesmaximal, characteristic, complemented
13#22621614C211yesmaximal, characteristic, complemented
14D8×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621475C211yesmaximal, characteristic, complemented
16#22621464C211yesmaximal, characteristic, complemented
17#22621426C211yesmaximal, characteristic, complemented
18#22621411C211yesmaximal, characteristic, complemented
19#22621023C211yesmaximal, characteristic, complemented
20#22620979C211yesmaximal, characteristic, complemented
21#22620830C211yesmaximal, characteristic, complemented
22#22620782C211yesmaximal, characteristic, complemented
23#22620698C211yesmaximal, characteristic, complemented
24#22620679C211yesmaximal, characteristic, complemented
25#22620186C211yesmaximal, characteristic, complemented
26#22620131C211yesmaximal, characteristic, complemented
27#22619233C211yesmaximal, characteristic, complemented
28#22619196C211yesmaximal, characteristic, complemented
29#22619149C211yesmaximal, characteristic, complemented
30#22618985C211yesmaximal, characteristic, complemented
31C2×#449×C73C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#14556618C2211yescharacteristic, complemented
34C2×#14556615C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39#17989332—21no—
40#17989325—21no—
41#17989301C2211yescharacteristic, complemented
42#17989284C2211yescharacteristic, complemented
43#17989272C2211yescharacteristic, complemented
44#17989263—21no—
45#17989256C2211yescharacteristic, complemented
46#17989256C2211yescharacteristic, complemented
47#17989255C2211yescharacteristic, complemented
48#17989248C2211yescharacteristic
49#17989248C2211yescharacteristic, complemented
50#17989238C2211yescharacteristic, complemented
51#17989234C2211yescharacteristic, complemented
52#17989231C2211yescharacteristic, complemented
53#17989227—21no—
54#17989225—21no—
55#17989225—21no—
56#17989225C2211yescharacteristic, complemented
57#17989225C2211yescharacteristic, complemented
58D4×C22⋊D73—21no—
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic
61D4×C22⋊D73C2211yescharacteristic, complemented
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989204C2211yescharacteristic, complemented
64#17989190C2211yescharacteristic, complemented
65#17989187—21no—
66#17989169—21no—
67#17989166C2211yescharacteristic, complemented
68#17989165—21no—
69#17989165C2211yescharacteristic, complemented
70#17989154—21no—
71#17989153C2211yescharacteristic, complemented
72#17989151—21no—
73#17989151C2211yescharacteristic, complemented
74#17989146—21no—
75#17989098—21no—
76#17989098C2211yescharacteristic
77#17989098C2211yescharacteristic, complemented
78C2×#14556565—21no—
79C2×#14556565C2211yescharacteristic, complemented
80#17989070C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988962C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988948C2211yescharacteristic, complemented
87#17988943C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988906C2211yescharacteristic, complemented
96#17988900C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988892C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic, complemented
103#17988880C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988837C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988830C2211yescharacteristic, complemented
109#17988827C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988823C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988821C2211yescharacteristic, complemented
116#17988821C2211yescharacteristic, complemented
117#17988820C2211yescharacteristic, complemented
118#17988816C2211yescharacteristic, complemented
119#17988816C2211yescharacteristic, complemented
120#17988813C2211yescharacteristic, complemented
121#17988812C2211yescharacteristic, complemented
122#17988807C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988804C2211yescharacteristic, complemented
125#17988804C2211yescharacteristic, complemented
126#17988800C2211yescharacteristic, complemented
127#17988786C2211yescharacteristic, complemented
128#17988785C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988780C2211yescharacteristic, complemented
131#17988780C2211yescharacteristic, complemented
132#17988780C2211yescharacteristic, complemented
133#17988752C2211yescharacteristic, complemented
134#17988749C2211yescharacteristic, complemented
135#17988749C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988743C2211yescharacteristic, complemented
138#17988740C2211yescharacteristic, complemented
139#17988739C2211yescharacteristic, complemented
140#17988738C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988734C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988732C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988726C2211yescharacteristic, complemented
151#17988723C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988720C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163#17988688C2211yescharacteristic, complemented
164#17988684C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166SD16×Dic73C2211yescharacteristic, complemented
167D8×Dic73C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988658C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172#17988655C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988650C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988645C2211yescharacteristic, complemented
179#17988590C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988583C2211yescharacteristic, complemented
182#17988583C2211yescharacteristic, complemented
183#17988582C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187C2×C22⋊#10596831C2211yescharacteristic, complemented
188C22×#41×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190C22×D8×C73C2211yescharacteristic, complemented
191C2×#121×C73C2211yescharacteristic, complemented
192#449×C73C2211yescharacteristic
193#449×C73C2211yescharacteristic, complemented
194#449×C73C2211yescharacteristic, complemented
195#449×C73C2211yescharacteristic, complemented
196#449×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200C2×#103×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic, complemented
202C2×C22⋊C8×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027C2311yescharacteristic
212C22×D292—21no—
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73C2311yescharacteristic
221C2×D4×D73C2311yescharacteristic
222C2×D4×D73C2311yescharacteristic
223#14556618—42no—
224#14556615—42no—
225#14556612—42no—
226#14556611—42no—
227#14556611—42no—
228C2×#11924018C2311yescharacteristic
229C2×#11924018C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×D584C2311yescharacteristic
237C2×D584C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239C2×#11924013C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924013C2311yescharacteristic
244D8×D73—42no—
245C2×#11924011C2311yescharacteristic
246C2×#11924011C2311yescharacteristic
247C22×#10596831C2311yescharacteristic
248C22×#10596831C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556587—21no—
253#14556587—21no—
254#14556587—21no—
255#14556587—21no—
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556584—21no—
261#14556584—21no—
262#14556582C2311yescharacteristic
263#14556581—21no—
264#14556580—21no—
265#14556580—21no—
266#14556580C2311yescharacteristic
267#14556580C2311yescharacteristic
268#14556578—21no—
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556576—21no—
274#14556575—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574D411yescharacteristic
281#14556574D411yescharacteristic
282#14556573—21no—
283#14556573—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556571C2311yescharacteristic
288#14556570—21no—
289#14556570D411yescharacteristic
290#14556570D411yescharacteristic
291#14556570C2311yescharacteristic
292#14556570C2311yescharacteristic
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566C2311yescharacteristic
301#14556565—21no—
302#14556565—21no—
303#14556565—21no—
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565—21no—
309#14556565—21no—
310#14556565D411yescharacteristic
311#14556565D411yescharacteristic
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic
316#14556565C2311yescharacteristic
317#14556565C2311yescharacteristic
318#14556564—21no—
319#14556564—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562—21no—
335#14556562—21no—
336#14556562—21no—
337#14556562—21no—
338#14556562C2311yescharacteristic
339#14556562C2311yescharacteristic
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556561—21no—
343#14556560—21no—
344#14556560—21no—
345#14556560—21no—
346#14556560—21no—
347#14556560—21no—
348#14556560D411yescharacteristic
349#14556560D411yescharacteristic
350#14556559—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359Q8×Dic73C2311yescharacteristic
360Q8×Dic73C2311yescharacteristic
361#14556556C2311yescharacteristic
362D4×Dic73—21no—
363D4×Dic73—21no—
364D4×Dic73C2311yescharacteristic
365D4×Dic73C2311yescharacteristic
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368#14556553C2311yescharacteristic
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378C4×C22⋊D73C2311yescharacteristic
379#14556551—21no—
380#14556551—21no—
381#14556550—21no—
382#14556550—21no—
383#14556550C2311yescharacteristic
384#14556550C2311yescharacteristic
385#14556549C2311yescharacteristic
386#14556547—21no—
387C2×C4⋊Dic73—21no—
388C2×C4⋊Dic73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×#11924005—21no—
392C2×#11924005—21no—
393C2×#11924005—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#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
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
443C2×#41×C73—21no—
444C2×#41×C73—21no—
445C2×#41×C73—42no—
446C2×#41×C73—42no—
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×#41×C73C2311yescharacteristic
450C2×#41×C73C2311yescharacteristic
451C22×Q8×C73C2311yescharacteristic
452C22×D4×C73—21no—
453C22×D4×C73—21no—
454C22×D4×C73C2311yescharacteristic
455C22×D4×C73C2311yescharacteristic
456C23×C4×C73—21no—
457C23×C4×C73C2311yescharacteristic
458C2×SD16×C73—42no—
459C2×SD16×C73C2311yescharacteristic
460C2×SD16×C73C2311yescharacteristic
461C2×SD16×C73C2311yescharacteristic
462C2×SD16×C73C2311yescharacteristic
463C2×D8×C73—42no—
464C2×D8×C73C2311yescharacteristic
465C2×D8×C73C2311yescharacteristic
466C2×D8×C73C2311yescharacteristic
467C2×D8×C73C2311yescharacteristic
468C22×C8×C73C2311yescharacteristic
469C22×C8×C73C2311yescharacteristic
470#121×C73—21no—
471#121×C73—21no—
472#121×C73C2311yescharacteristic
473#121×C73C2311yescharacteristic
474#121×C73C2311yescharacteristic
475#121×C73C2311yescharacteristic
476C2×C4⋊C4×C73C2311yescharacteristic
477C2×C22⋊C4×C73—21no—
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×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×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494#11924029—22no—
495#11924029—22no—
496#11924029—41no—
497#11924029—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—44no—
503#11924028—82no—
504#11924027—41no—
505#11924027—41no—
506C2×Dic146—21no—
507C2×Dic146C2×D411yescharacteristic
508C2×Dic146C2411yescharacteristic
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—41no—
514C2×D292—41no—
515C2×D292—44no—
516C2×D292C2×D411yescharacteristic
517C2×D292C2411yescharacteristic
518C2×D292C2411yescharacteristic
519C2×D292C2411yescharacteristic
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—82no—
542C2×C22⋊D73—82no—
543C2×C22⋊D73—82no—
544C2×C22⋊D73—82no—
545C2×C22⋊D73C2×D411yescharacteristic
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—41no—
554D4×D73—41no—
555D4×D73—41no—
556D4×D73—41no—
557D4×D73—44no—
558D4×D73—44no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73C2411yescharacteristic
571C2×C4×D73C2411yescharacteristic
572#11924018—22no—
573#11924018—41no—
574#11924017—41no—
575#11924017—41no—
576#11924016—22no—
577#11924016—41no—
578#11924015—22no—
579#11924015—41no—
580D584—41no—
581D584—41no—
582#11924013—22no—
583#11924013—41no—
584#11924013—41no—
585#11924013—41no—
586#11924013—41no—
587#11924013—41no—
588#11924011—41no—
589#11924011—41no—
590C2×#10596831—41no—
591C2×#10596831—41no—
592C2×#10596831C2411yescharacteristic
593C2×#10596831C2411yescharacteristic
594C2×#10596831C2411yescharacteristic
595C2×#10596831C2411yescharacteristic
596C8×D73—41no—
597C8×D73—41no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73—21no—
601C4⋊Dic73—21no—
602C4⋊Dic73—21no—
603C4⋊Dic73C2×D411yescharacteristic
604C4⋊Dic73C2×D411yescharacteristic
605C4⋊Dic73C2411yescharacteristic
606C4⋊Dic73C2411yescharacteristic
607C4⋊Dic73C2411yescharacteristic
608C4⋊Dic73C2411yescharacteristic
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007C2×D411yescharacteristic
618#11924007C2×D411yescharacteristic
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621C22⋊Dic73—21no—
622C22⋊Dic73—21no—
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
637C22⋊Dic73C2×D411yescharacteristic
638C22⋊Dic73C2×D411yescharacteristic
639C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005C2×D411yescharacteristic
657#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73C2411yescharacteristic
666C4×Dic73C2411yescharacteristic
667C24×C73—21no—
668C24×C73—21no—
669C24×C73C2×D411yescharacteristic
670#41×C73—22no—
671#41×C73—22no—
672#41×C73—22no—
673#41×C73—22no—
674#41×C73—41no—
675#41×C73—41no—
676#41×C73—41no—
677#41×C73—41no—
678#41×C73—44no—
679#41×C73—44no—
680C2×Q8×C73—21no—
681C2×Q8×C73—22no—
682C2×Q8×C73—41no—
683C2×Q8×C73C2411yescharacteristic
684C2×Q8×C73C2411yescharacteristic
685C2×D4×C73—21no—
686C2×D4×C73—22no—
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—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—41no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—44no—
700C2×D4×C73—82no—
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
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—41no—
712C22×C4×C73—41no—
713C22×C4×C73—44no—
714C22×C4×C73C2×D411yescharacteristic
715C22×C4×C73C2×D411yescharacteristic
716C22×C4×C73C2×D411yescharacteristic
717C22×C4×C73C2411yescharacteristic
718C22×C4×C73C2411yescharacteristic
719C22×C4×C73C2411yescharacteristic
720SD16×C73—22no—
721SD16×C73—22no—
722SD16×C73—41no—
723SD16×C73—41no—
724D8×C73—22no—
725D8×C73—22no—
726D8×C73—41no—
727D8×C73—41no—
728C2×C8×C73—41no—
729C2×C8×C73—41no—
730C2×C8×C73C2411yescharacteristic
731C2×C8×C73C2411yescharacteristic
732C2×C8×C73C2411yescharacteristic
733C2×C8×C73C2411yescharacteristic
734C4⋊C4×C73—21no—
735C4⋊C4×C73C2411yescharacteristic
736C4⋊C4×C73C2411yescharacteristic
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C23×C73—21no—
742C23×C73—22no—
743C23×C73—21no—
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—41no—
747C23×C73—41no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73C22×D411yescharacteristic
755C23×C73C22×D411yescharacteristic
756C23×C73C22×D411yescharacteristic
757C22×D73—21no—
758C22×D73—21no—
759C22×D73—21no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73—21no—
776Q8×C73—21no—
777Q8×C73—42no—
778Q8×C73H(5,𝔽2)12yes—
779D4×C73—24no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—42no—
788D4×C73—42no—
789D4×C73—42no—
790D4×C73—42no—
791D4×C73—81no—
792D4×C73—81no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73—81no—
796D4×C73H(5,𝔽2)12yes—
797C2×C4×C73—24no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—41no—
809C2×C4×C73—41no—
810C2×C4×C73—41no—
811C2×C4×C73—42no—
812C2×C4×C73—42no—
813C2×C4×C73—42no—
814C2×C4×C73—42no—
815C2×C4×C73—42no—
816C2×C4×C73C22×D411yescharacteristic
817C2×C4×C73C22×D411yescharacteristic
818C2×C4×C73C22×D411yescharacteristic
819C2×C4×C73C2511yescharacteristic
820C22⋊D73—22no—
821C22⋊D73—22no—
822C22⋊D73—41no—
823C22⋊D73—41no—
824C22⋊D73—41no—
825C22⋊D73—41no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C22⋊D73—81no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—21no—
851C2×Dic73—21no—
852C2×Dic73—81no—
853C2×Dic73—81no—
854C2×Dic73—81no—
855C2×Dic73—81no—
856C2×Dic73—81no—
857C2×Dic73—81no—
858C2×Dic73C22×D411yescharacteristic
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863C2×Dic73C22×D411yescharacteristic
864D292—21no—
865D292—21no—
866D292—21no—
867D292—21no—
868D292—21no—
869D292—21no—
870D292—41no—
871D292—42no—
872D292—42no—
873D292—42no—
874D292—81no—
875C4×D73—21no—
876C4×D73—21no—
877C4×D73—21no—
878C4×D73—21no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—81no—
882C4×D73—81no—
883C4×D73—81no—
884Dic146—21no—
885Dic146—21no—
886Dic146—41no—
887Dic146—81no—
888C8×C73—21no—
889C8×C73—21no—
890C8×C73—21no—
891C8×C73—21no—
892#10596831—21no—
893#10596831—21no—
894#10596831—21no—
895#10596831—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—21no—
901C22×C73—22no—
902C22×C73—21no—
903C22×C73—21no—
904C22×C73—21no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—82no—
917C22×C73—84no—
918C22×C73—162no—
919C22×C73#57612yes—
920C22×C73C23×D411yescharacteristic
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
924C2×D73—21no—
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73—162no—
940C4×C73—21no—
941C4×C73—22no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—41no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73C2×H(5,𝔽2)11yescharacteristic
948C4×C73C2×H(5,𝔽2)11yescharacteristic
949Dic73—21no—
950Dic73—21no—
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—41no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61639—731nomaximal, Sylow
961C2×C73—22no—
962C2×C73—41no—
963C2×C73—42no—
964C2×C73—41no—
965C2×C73—81no—
966C2×C73—81no—
967C2×C73—81no—
968C2×C73#348411yescharacteristic
969C2×C73C2×#57611yescharacteristic
970C2×C73#358411yescharacteristic
971D73—41no—
972D73—41no—
973D73—81no—
974D73—81no—
975D73—81no—
976#3542—731no—
977#3488—731no—
978#3319—731no—
979#3310—731no—
980#3309—731no—
981#3308—731no—
982#3305—731no—
983#3300—731no—
984#3297—731no—
985#3294—731no—
986#3287—731no—
987#3282—731no—
988#3280—731no—
989D4×D8—731no—
990#3268—731no—
991#3268—731no—
992#3265—731no—
993#3264—731no—
994#3224—731no—
995#3220—731no—
996#3203—731no—
997#3198—731no—
998#3188—731no—
999#3186—731no—
1000#3124—731no—
1001#3119—731no—
1002#3012—731no—
1003#3008—731no—
1004#3002—731no—
1005C2×#449D7311yescharacteristic, complemented
1006#2977—731no—
1007C73#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C22×#41C2×D7311yescharacteristic, complemented
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×#135—731no—
1013C2×#135—731no—
1014C2×#135—731no—
1015C22×SD16C2×D7311yescharacteristic, complemented
1016C22×D8—731no—
1017C22×D8C2×D7311yescharacteristic, complemented
1018#562—1461no—
1019#560—1461no—
1020#555—731no—
1021#553—731no—
1022#552—731no—
1023#551—1461no—
1024#550—731no—
1025#550—731no—
1026#550—731no—
1027#548—731no—
1028#548—731no—
1029#547—731no—
1030#546—731no—
1031#546—731no—
1032#546—731no—
1033#546—731no—
1034#546—1461no—
1035#546—1461no—
1036#546—1461no—
1037D42—731no—
1038D42—731no—
1039D42—731no—
1040D42—1461no—
1041D42—1461no—
1042#542—731no—
1043#540—731no—
1044#540—1461no—
1045#538—1461no—
1046#537—731no—
1047#537—731no—
1048#537—1461no—
1049#535—731no—
1050#535—731no—
1051#535—1461no—
1052#535—1461no—
1053#534—1461no—
1054#525—731no—
1055#525—731no—
1056#525—1461no—
1057C2×#121—731no—
1058C2×#121—1461no—
1059C2×#121C2×D7311yescharacteristic, complemented
1060#520—731no—
1061#496—731no—
1062#496—731no—
1063#495—731no—
1064#493—731no—
1065#490—731no—
1066#489—731no—
1067#488—731no—
1068#486—731no—
1069#485—731no—
1070#484—731no—
1071#484—731no—
1072#482—731no—
1073#482—731no—
1074#482—731no—
1075#481—731no—
1076#480—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480—731no—
1081#479—731no—
1082#478—731no—
1083#477—731no—
1084#474—731no—
1085#469—731no—
1086#468—731no—
1087#468—731no—
1088#468—731no—
1089#467—731no—
1090#466—731no—
1091#466—731no—
1092#466—731no—
1093#466—731no—
1094#466—731no—
1095#466—731no—
1096#466—731no—
1097#466—731no—
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#464—731no—
1102#464—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463—731no—
1107#460—731no—
1108#460—731no—
1109#459—731no—
1110#459—731no—
1111#459—731no—
1112#459—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#451—731no—
1118#450—731no—
1119#450—731no—
1120#450—731no—
1121#450—731no—
1122#449—731no—
1123#449—731no—
1124#449—731no—
1125#449—731no—
1126#449—731no—
1127#449—731no—
1128#449—731no—
1129#449—731no—
1130#449C2×D7311yescharacteristic
1131#449C2×D7311yescharacteristic, complemented
1132#449C2×D7311yescharacteristic, complemented
1133#449C2×D7311yescharacteristic, complemented
1134#449C2×D7311yescharacteristic, complemented
1135#449C2×D7311yescharacteristic, complemented
1136#449C2×D7311yescharacteristic, complemented
1137#449C2×D7311yescharacteristic, complemented
1138#448—731no—
1139#447—731no—
1140#447—731no—
1141#447—731no—
1142#447—731no—
1143#447—731no—
1144#447—731no—
1145#447—731no—
1146#447—731no—
1147#447—731no—
1148#447—731no—
1149#442—731no—
1150#440—731no—
1151#440—731no—
1152#440—731no—
1153C4×Q16—731no—
1154C4×SD16—731no—
1155C4×D8—731no—
1156C4×D8—731no—
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435—731no—
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4—731no—
1165#433—731no—
1166#433—731no—
1167#418—731no—
1168#417—731no—
1169#416—731no—
1170#416—731no—
1171#416—731no—
1172C2×#103C2×D7311yescharacteristic, complemented
1173C2×#102—731no—
1174C2×#102C2×D7311yescharacteristic, complemented
1175#408—731no—
1176#408—731no—
1177C2×C22⋊C8—731no—
1178C2×C22⋊C8C2×D7311yescharacteristic, complemented
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—42no—
1184C2×#41—42no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—1461no—
1191C2×#41—1461no—
1192C2×#41C22×D7311yescharacteristic
1193C2×#41C22×D7311yescharacteristic
1194C2×#41C22×D7311yescharacteristic
1195C2×#41C22×D7311yescharacteristic
1196C22×Q8C22×D7311yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—731no—
1200C22×D4—731no—
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—1461no—
1204C22×D4—1461no—
1205C22×D4—1461no—
1206C22×D4—1461no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4C22×D7311yescharacteristic
1211C22×D4C22×D7311yescharacteristic
1212C23×C4—21no—
1213C23×C4C22×D7311yescharacteristic
1214AGL(1,ℤ/8)—2922no—
1215AGL(1,ℤ/8)—2922no—
1216#135—2922no—
1217#135—2922no—
1218#135—2922no—
1219C2×Q16—731no—
1220C2×Q16—731no—
1221C2×SD16—42no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16C22×D7311yescharacteristic
1229C2×SD16C22×D7311yescharacteristic
1230C2×SD16C22×D7311yescharacteristic
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—42no—
1233C2×D8—2922no—
1234C2×D8—731no—
1235C2×D8—731no—
1236C2×D8—731no—
1237C2×D8—731no—
1238C2×D8—731no—
1239C2×D8—731no—
1240C2×D8—731no—
1241C2×D8—731no—
1242C2×D8C22×D7311yescharacteristic
1243C2×D8C22×D7311yescharacteristic
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16—731no—
1248C22×C8—731no—
1249C22×C8—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8C22×D7311yescharacteristic
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255#127—731no—
1256#127—731no—
1257#127—731no—
1258#127—1461no—
1259#127—1461no—
1260#127—1461no—
1261#127—1461no—
1262#126—1461no—
1263#126—1461no—
1264#126—1461no—
1265#125—731no—
1266#125—1461no—
1267#124—731no—
1268#124—731no—
1269#124—731no—
1270#124—1461no—
1271#124—1461no—
1272#124—1461no—
1273#124—1461no—
1274#124—1461no—
1275#124—1461no—
1276#123—731no—
1277#123—731no—
1278#123—1461no—
1279#123—1461no—
1280#123—1461no—
1281#123—1461no—
1282#123—1461no—
1283#123—1461no—
1284#123—1461no—
1285#123—1461no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290C22⋊Q8—731no—
1291C22⋊Q8—731no—
1292C22⋊Q8—731no—
1293C22⋊Q8—731no—
1294C22⋊Q8—731no—
1295C22⋊Q8—731no—
1296C22⋊Q8—731no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303#121—21no—
1304#121—21no—
1305#121—731no—
1306#121—731no—
1307#121—731no—
1308#121—731no—
1309#121—731no—
1310#121—731no—
1311#121—731no—
1312#121—731no—
1313#121—731no—
1314#121—731no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
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#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121C22×D7311yescharacteristic
1348#121C22×D7311yescharacteristic
1349#121C22×D7311yescharacteristic
1350#121C22×D7311yescharacteristic
1351#120—731no—
1352#120—731no—
1353#120—1461no—
1354#120—1461no—
1355#120—1461no—
1356#120—1461no—
1357#120—1461no—
1358#120—1461no—
1359#120—1461no—
1360#120—1461no—
1361#120—1461no—
1362#120—1461no—
1363#120—1461no—
1364#120—1461no—
1365#120—1461no—
1366#120—1461no—
1367#120—1461no—
1368C4×Q8—731no—
1369C4×Q8—731no—
1370C4×Q8—731no—
1371C4×D4—731no—
1372C4×D4—731no—
1373C4×D4—731no—
1374C4×D4—731no—
1375C4×D4—731no—
1376C4×D4—731no—
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—731no—
1380C4×D4—1461no—
1381C4×D4—1461no—
1382C4×D4—1461no—
1383C4×D4—1461no—
1384C4×D4—1461no—
1385C4×D4—1461no—
1386C4×D4—1461no—
1387C4×D4—1461no—
1388C4×D4—1461no—
1389C4×D4—1461no—
1390#117—731no—
1391#117—731no—
1392#117—731no—
1393#117—1461no—
1394#117—1461no—
1395#117—1461no—
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—1461no—
1399C2×C4⋊C4C22×D7311yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—1461no—
1402C2×C22⋊C4—1461no—
1403C2×C22⋊C4—1461no—
1404C2×C22⋊C4—1461no—
1405C2×C22⋊C4—1461no—
1406#107—731no—
1407#107—731no—
1408#107—731no—
1409#107—731no—
1410#107—731no—
1411#107—731no—
1412#106—731no—
1413#106—731no—
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8—731no—
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103C22×D7311yescharacteristic
1425#103C22×D7311yescharacteristic
1426#103C22×D7311yescharacteristic
1427#103C22×D7311yescharacteristic
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102—731no—
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102C22×D7311yescharacteristic
1447#102C22×D7311yescharacteristic
1448#102C22×D7311yescharacteristic
1449#102C22×D7311yescharacteristic
1450C22⋊C8—731no—
1451C22⋊C8—731no—
1452C22⋊C8—731no—
1453C22⋊C8—731no—
1454C22⋊C8—731no—
1455C22⋊C8—731no—
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8C22×D7311yescharacteristic
1459C22⋊C8C22×D7311yescharacteristic
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97—731no—
1464C4×C8—731no—
1465C4×C8—731no—
1466C24—21no—
1467C24—21no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24D4×D7311yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—44no—
1482#41—44no—
1483#41—2924no—
1484#41—2921no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—2921no—
1490#41—2921no—
1491#41—2921no—
1492#41—5842no—
1493#41—1462no—
1494#41—1462no—
1495C2×Q8—21no—
1496C2×Q8—22no—
1497C2×Q8—41no—
1498C2×Q8—731no—
1499C2×Q8—731no—
1500C2×Q8—1461no—
1501C2×Q8C23×D7311yescharacteristic
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—41no—
1517C2×D4—44no—
1518C2×D4—82no—
1519C2×D4—2924no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2924no—
1523C2×D4—2924no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—2921no—
1527C2×D4—2921no—
1528C2×D4—5842no—
1529C2×D4—5842no—
1530C2×D4—5842no—
1531C2×D4—5842no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—731no—
1541C2×D4—731no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4—1461no—
1549C2×D4—1461no—
1550C2×D4—1461no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
1556C2×D4—1461no—
1557C2×D4—1462no—
1558C2×D4—1462no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1461no—
1563C2×D4—1461no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4C23×D7311yescharacteristic
1570C2×D4C23×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—44no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4—1461no—
1588C22×C4—1461no—
1589C22×C4—1461no—
1590C22×C4—1461no—
1591C22×C4—1461no—
1592C22×C4—1461no—
1593C22×C4—1461no—
1594C22×C4—1461no—
1595C22×C4D4×D7311yescharacteristic
1596C22×C4D4×D7311yescharacteristic
1597C22×C4D4×D7311yescharacteristic
1598C22×C4C23×D7311yescharacteristic
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—1462no—
1603SD16—22no—
1604SD16—22no—
1605SD16—41no—
1606SD16—41no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—2921no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—22no—
1614D8—22no—
1615D8—41no—
1616D8—41no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—2921no—
1621D8—2921no—
1622D8—2921no—
1623D8—2921no—
1624D8—1462no—
1625M16—2921no—
1626M16—2921no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—2921no—
1630C2×C8—2921no—
1631C2×C8—2921no—
1632C2×C8—2921no—
1633C2×C8—731no—
1634C2×C8—731no—
1635C2×C8—731no—
1636C2×C8—731no—
1637C2×C8C23×D7311yescharacteristic
1638C2×C8C23×D7311yescharacteristic
1639C2×C8C23×D7311yescharacteristic
1640C2×C8C23×D7311yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—731no—
1643C4⋊C4—731no—
1644C4⋊C4—731no—
1645C4⋊C4—731no—
1646C4⋊C4—731no—
1647C4⋊C4—731no—
1648C4⋊C4—731no—
1649C4⋊C4—731no—
1650C4⋊C4—731no—
1651C4⋊C4—731no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4—1461no—
1662C4⋊C4—1461no—
1663C4⋊C4—1461no—
1664C4⋊C4—1461no—
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—731no—
1672C22⋊C4—731no—
1673C22⋊C4—731no—
1674C22⋊C4—731no—
1675C22⋊C4—731no—
1676C22⋊C4—731no—
1677C22⋊C4—731no—
1678C22⋊C4—731no—
1679C22⋊C4—731no—
1680C22⋊C4—731no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C42—731no—
1711C42—731no—
1712C42—1461no—
1713C42—1461no—
1714C42—1461no—
1715C42—1461no—
1716C42—1461no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—41no—
1723C23—41no—
1724C23—42no—
1725C23—42no—
1726C23—42no—
1727C23—81no—
1728C23—81no—
1729C23—81no—
1730C23—2922no—
1731C23—2922no—
1732C23—2922no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—731no—
1743C23—731no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23C2×D4×D7311yescharacteristic
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—2921no—
1755Q8—5841no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8#1455663612yes—
1759D4—24no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—42no—
1770D4—42no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—2922no—
1777D4—2922no—
1778D4—2922no—
1779D4—2921no—
1780D4—2922no—
1781D4—2922no—
1782D4—2922no—
1783D4—2922no—
1784D4—2922no—
1785D4—2921no—
1786D4—2921no—
1787D4—2921no—
1788D4—2921no—
1789D4—5841no—
1790D4—5841no—
1791D4—5841no—
1792D4—5841no—
1793D4—5841no—
1794D4—5841no—
1795D4—5841no—
1796D4—5841no—
1797D4—5841no—
1798D4—5841no—
1799D4—5841no—
1800D4—5841no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—1462no—
1807D4—1462no—
1808D4—1461no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4#1455663612yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—41no—
1829C2×C4—42no—
1830C2×C4—42no—
1831C2×C4—42no—
1832C2×C4—42no—
1833C2×C4—42no—
1834C2×C4—2922no—
1835C2×C4—2922no—
1836C2×C4—5841no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—5841no—
1844C2×C4—5841no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—731no—
1848C2×C4—731no—
1849C2×C4—731no—
1850C2×C4—731no—
1851C2×C4—1461no—
1852C2×C4—1461no—
1853C2×C4—1461no—
1854C2×C4—1461no—
1855C2×C4—1461no—
1856C2×C4—1461no—
1857C2×C4—1461no—
1858C2×C4—1461no—
1859C2×C4—1461no—
1860C2×C4C2×D4×D7311yescharacteristic
1861C2×C4C2×D4×D7311yescharacteristic
1862C2×C4C2×D4×D7311yescharacteristic
1863C2×C4C24×D7311yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1461no—
1869C8—1461no—
1870C8—1461no—
1871C8—1461no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—22no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—82no—
1893C22—84no—
1894C22—162no—
1895C22—2921no—
1896C22—2921no—
1897C22—2921no—
1898C22—2921no—
1899C22—2921no—
1900C22—2921no—
1901C22—2921no—
1902C22—2921no—
1903C22—2921no—
1904C22—11682no—
1905C22—11682no—
1906C22—11682no—
1907C22—11682no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22#1798939112yes—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—22no—
1918C4—21no—
1919C4—21no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—2921no—
1924C4—2921no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—1461no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4C2×#1455663611yescharacteristic
1935C4C2×#1455663611yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—42no—
1940C2—81no—
1941C2—81no—
1942C2—81no—
1943C2—2921no—
1944C2—2921no—
1945C2—5841no—
1946C2—5841no—
1947C2—5841no—
1948C2#2262356011yescharacteristic
1949C2C2×#1798939111yescharacteristic
1950C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#449×C73C2
socleC22×C73C23×D4
hypercenterC2×#449D73
hypocenterC73#61639
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. #22624251C2semidirect
2. #22623600C2semidirect
3. #22622091C2semidirect
4. #22621948C2semidirect
5. #22621941C2semidirect
6. #22621918C2semidirect
7. #22621874C2semidirect
8. #22621814C2semidirect
9. #22621774C2semidirect
10. #22621740C2semidirect
11. #22621684C2semidirect
12. #22621638C2semidirect
13. #22621614C2semidirect
14. D8×C22⋊D73C2semidirect
15. #22621475C2semidirect
16. #22621464C2semidirect
17. #22621426C2semidirect
18. #22621411C2semidirect
19. #22621023C2semidirect
20. #22620979C2semidirect
21. #22620830C2semidirect
22. #22620782C2semidirect
23. #22620698C2semidirect
24. #22620679C2semidirect
25. #22620186C2semidirect
26. #22620131C2semidirect
27. #22619233C2semidirect
28. #22619196C2semidirect
29. #22619149C2semidirect
30. #22618985C2semidirect
31. C2×#449×C73C2semidirect
32. C2×#14556637C22semidirect
33. C2×#14556618C22semidirect
34. C2×#14556615C22semidirect
35. C2×#14556612C22semidirect
36. C2×#14556611C22semidirect
37. C2×#14556611C22semidirect
38. C2×D8×D73C22semidirect
41. #17989301C22semidirect
42. #17989284C22semidirect
43. #17989272C22semidirect
45. #17989256C22semidirect
46. #17989256C22semidirect
47. #17989255C22semidirect
49. #17989248C22semidirect
50. #17989238C22semidirect
51. #17989234C22semidirect
52. #17989231C22semidirect
56. #17989225C22semidirect
57. #17989225C22semidirect
61. D4×C22⋊D73C22semidirect
62. D4×C22⋊D73C22semidirect
63. #17989204C22semidirect
64. #17989190C22semidirect
67. #17989166C22semidirect
69. #17989165C22semidirect
71. #17989153C22semidirect
73. #17989151C22semidirect
77. #17989098C22semidirect
79. C2×#14556565C22semidirect
80. #17989070C22semidirect
81. #17988975C22semidirect
82. #17988973C22semidirect
83. #17988968C22semidirect
84. #17988962C22semidirect
85. #17988950C22semidirect
86. #17988948C22semidirect
87. #17988943C22semidirect
88. #17988932C22semidirect
89. #17988926C22semidirect
90. #17988923C22semidirect
91. #17988921C22semidirect
92. #17988912C22semidirect
93. #17988912C22semidirect
94. #17988910C22semidirect
95. #17988906C22semidirect
96. #17988900C22semidirect
97. #17988900C22semidirect
98. #17988899C22semidirect
99. #17988898C22semidirect
100. #17988898C22semidirect
101. #17988892C22semidirect
102. #17988889C22semidirect
103. #17988880C22semidirect
104. #17988865C22semidirect
105. #17988837C22semidirect
106. #17988836C22semidirect
107. #17988832C22semidirect
108. #17988830C22semidirect
109. #17988827C22semidirect
110. #17988823C22semidirect
111. #17988823C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988821C22semidirect
115. #17988821C22semidirect
116. #17988821C22semidirect
117. #17988820C22semidirect
118. #17988816C22semidirect
119. #17988816C22semidirect
120. #17988813C22semidirect
121. #17988812C22semidirect
122. #17988807C22semidirect
123. #17988805C22semidirect
124. #17988804C22semidirect
125. #17988804C22semidirect
126. #17988800C22semidirect
127. #17988786C22semidirect
128. #17988785C22semidirect
129. #17988781C22semidirect
130. #17988780C22semidirect
131. #17988780C22semidirect
132. #17988780C22semidirect
133. #17988752C22semidirect
134. #17988749C22semidirect
135. #17988749C22semidirect
136. #17988746C22semidirect
137. #17988743C22semidirect
138. #17988740C22semidirect
139. #17988739C22semidirect
140. #17988738C22semidirect
141. #17988736C22semidirect
142. #17988735C22semidirect
143. #17988734C22semidirect
144. #17988734C22semidirect
145. #17988732C22semidirect
146. #17988732C22semidirect
147. #17988731C22semidirect
148. #17988731C22semidirect
149. #17988729C22semidirect
150. #17988726C22semidirect
151. #17988723C22semidirect
152. #17988722C22semidirect
153. #17988721C22semidirect
154. #17988721C22semidirect
155. #17988721C22semidirect
156. #17988720C22semidirect
157. #17988720C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988699C22semidirect
162. #17988690C22semidirect
163. #17988688C22semidirect
164. #17988684C22semidirect
165. #17988679C22semidirect
166. SD16×Dic73C22semidirect
167. D8×Dic73C22semidirect
168. #17988667C22semidirect
169. #17988658C22semidirect
170. #17988658C22semidirect
171. #17988655C22semidirect
172. #17988655C22semidirect
173. C8×C22⋊D73C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988650C22semidirect
177. #17988645C22semidirect
178. #17988645C22semidirect
179. #17988590C22semidirect
180. #17988587C22semidirect
181. #17988583C22semidirect
182. #17988583C22semidirect
183. #17988582C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988552C22semidirect
187. C2×C22⋊#10596831C22semidirect
188. C22×#41×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. C22×D8×C73C22semidirect
191. C2×#121×C73C22semidirect
193. #449×C73C22semidirect
194. #449×C73C22semidirect
195. #449×C73C22semidirect
196. #449×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #449×C73C22semidirect
200. C2×#103×C73C22semidirect
201. C2×#102×C73C22semidirect
202. C2×C22⋊C8×C73C22semidirect
1005. C2×#449D73semidirect
1007. C73#61639semidirect
1009. C22×#41C2×D73semidirect
1015. C22×SD16C2×D73semidirect
1017. C22×D8C2×D73semidirect
1059. C2×#121C2×D73semidirect
1131. #449C2×D73semidirect
1132. #449C2×D73semidirect
1133. #449C2×D73semidirect
1134. #449C2×D73semidirect
1135. #449C2×D73semidirect
1136. #449C2×D73semidirect
1137. #449C2×D73semidirect
1172. C2×#103C2×D73semidirect
1174. C2×#102C2×D73semidirect
1178. C2×C22⋊C8C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242512
#226236002
#226220912
#226219482
#226219412
#226219182
#226218742
#226218142
#226217742
#226217402
#226216842
#226216382
#226216142
D8×C22⋊D732
#226214752
#226214642
#226214262
#226214112
#226210232
#226209792
#226208302
#226207822
#226206982
#226206792
#226201862
#226201312
#226192332
#226191962
#226191492
#226189852
C2×#449×C732
#6163973