Finite Group Databasebeta

← #33970768

Subgroups — #33970768

Order 18688.

2206 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623960C211yesmaximal, characteristic, complemented
2#22623420C211yesmaximal, characteristic, complemented
3#22621874C211yesmaximal, characteristic, complemented
4#22621854C211yesmaximal, characteristic, complemented
5#22621838C211yesmaximal, characteristic, complemented
6#22621833C211yesmaximal, characteristic, complemented
7#22621800C211yesmaximal, characteristic, complemented
8#22621788C211yesmaximal, characteristic, complemented
9#22621783C211yesmaximal, characteristic, complemented
10#22621750C211yesmaximal, characteristic, complemented
11#22621685C211yesmaximal, characteristic, complemented
12#22621654C211yesmaximal, characteristic, complemented
13#22621633C211yesmaximal, characteristic, complemented
14SD16×C22⋊D73C211yesmaximal, characteristic, complemented
15#22621615C211yesmaximal, characteristic, complemented
16#22621612C211yesmaximal, characteristic, complemented
17#22621601C211yesmaximal, characteristic, complemented
18#22620902C211yesmaximal, characteristic, complemented
19#22620863C211yesmaximal, characteristic, complemented
20#22620723C211yesmaximal, characteristic, complemented
21#22620720C211yesmaximal, characteristic, complemented
22#22620697C211yesmaximal, characteristic, complemented
23#22620693C211yesmaximal, characteristic, complemented
24#22619989C211yesmaximal, characteristic, complemented
25#22619948C211yesmaximal, characteristic, complemented
26#22619154C211yesmaximal, characteristic, complemented
27#22619145C211yesmaximal, characteristic, complemented
28C2×#17988731C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618952C211yesmaximal, characteristic, complemented
31C73×#3282C211yesmaximal, characteristic, complemented
32C22×#11924029C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556614C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C2×SD16×D73C2211yescharacteristic, complemented
38C22×#11924013C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989301C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic
42#17989287C2211yescharacteristic, complemented
43#17989283C2211yescharacteristic, complemented
44#17989282—21no—
45#17989256C2211yescharacteristic, complemented
46#17989256C2211yescharacteristic, complemented
47Q8×C22⋊D73C2211yescharacteristic
48#17989249C2211yescharacteristic, complemented
49#17989239—21no—
50#17989239C2211yescharacteristic, complemented
51#17989234—21no—
52#17989233—21no—
53#17989233C2211yescharacteristic, complemented
54#17989230—21no—
55#17989230C2211yescharacteristic, complemented
56#17989230C2211yescharacteristic, complemented
57#17989227—21no—
58#17989221—21no—
59#17989221C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989187—21no—
63#17989173—21no—
64#17989172—21no—
65#17989136—21no—
66#17989136C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989116C2211yescharacteristic, complemented
69#17989100—21no—
70#17989100C2211yescharacteristic, complemented
71#17989100C2211yescharacteristic, complemented
72#17989097—21no—
73#17989097C2211yescharacteristic, complemented
74#17989094C2211yescharacteristic, complemented
75C2×#14556562C2211yescharacteristic, complemented
76#121×D73C2211yescharacteristic, complemented
77#17989060—21no—
78C4×#11924029C2211yescharacteristic, complemented
79C4×D4×D73—21no—
80C4×D4×D73C2211yescharacteristic
81#17988969C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988941C2211yescharacteristic, complemented
86#17988936C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988925C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988907C2211yescharacteristic, complemented
99#17988903C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988876C2211yescharacteristic, complemented
104#17988826C2211yescharacteristic, complemented
105#17988825C2211yescharacteristic, complemented
106#17988823C2211yescharacteristic, complemented
107#17988822C2211yescharacteristic, complemented
108#17988821C2211yescharacteristic, complemented
109#17988821C2211yescharacteristic, complemented
110#17988820C2211yescharacteristic, complemented
111#17988820C2211yescharacteristic, complemented
112#17988819C2211yescharacteristic, complemented
113#17988818C2211yescharacteristic, complemented
114#17988816C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988815C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988803C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988795C2211yescharacteristic, complemented
123#17988790C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988748C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988741C2211yescharacteristic, complemented
133#17988738C2211yescharacteristic, complemented
134#17988737C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic, complemented
138#17988735C2211yescharacteristic, complemented
139#17988734C2211yescharacteristic, complemented
140#17988733C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988732C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic
144#17988731C2211yescharacteristic, complemented
145#17988731C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic, complemented
148#17988731C2211yescharacteristic, complemented
149#17988731C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988726C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160Q16×Dic73C2211yescharacteristic, complemented
161SD16×Dic73C2211yescharacteristic, complemented
162C4×#11924015C2211yescharacteristic, complemented
163#17988672C2211yescharacteristic, complemented
164C4×D584C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167C8×D292C2211yescharacteristic, complemented
168D4×#10596831C2211yescharacteristic, complemented
169#17988652C2211yescharacteristic, complemented
170C8×C22⋊D73C2211yescharacteristic
171C8×C22⋊D73C2211yescharacteristic, complemented
172#17988650C2211yescharacteristic
173#17988650C2211yescharacteristic, complemented
174#17988639C2211yescharacteristic, complemented
175#17988638C2211yescharacteristic, complemented
176#17988584C2211yescharacteristic, complemented
177#17988583C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180C2×#14556515C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184C2×#14556503C2211yescharacteristic, complemented
185C2×#14556503C2211yescharacteristic, complemented
186C22⋊C8×D73C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×#135×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#465×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202C8×D4×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029—21no—
205C2×#11924029—42no—
206C2×#11924029—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924028—21no—
213C2×#11924028—21no—
214C2×#11924028C2311yescharacteristic
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217#41×D73—42no—
218#41×D73—42no—
219C2×Q8×D73C2311yescharacteristic
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73D411yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234#14556614—42no—
235#14556614—42no—
236#14556611—42no—
237C2×#11924018C2311yescharacteristic
238C2×#11924017C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924016C2311yescharacteristic
241C2×#11924015C2311yescharacteristic
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245SD16×D73—42no—
246C2×D584C2311yescharacteristic
247C2×D584C2311yescharacteristic
248C2×#11924013—42no—
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254D8×D73—42no—
255C22×#10596831C2311yescharacteristic
256C22×#10596831C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258C2×C8×D73C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260C2×C8×D73C2311yescharacteristic
261#14556590C2311yescharacteristic
262#14556589—21no—
263#14556589C2311yescharacteristic
264#14556587—21no—
265#14556587—21no—
266#14556587C2311yescharacteristic
267#14556587C2311yescharacteristic
268#14556586—21no—
269#14556584—21no—
270#14556584—21no—
271#14556583C2311yescharacteristic
272#14556581—21no—
273#14556579—21no—
274#14556579C2311yescharacteristic
275#14556578—21no—
276#14556577—21no—
277#14556577—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556574—21no—
283#14556573—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556572—21no—
290#14556571—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556570—21no—
294#14556570C2311yescharacteristic
295#14556568—21no—
296#14556567—21no—
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556565—21no—
304#14556565—21no—
305#14556565C2311yescharacteristic
306#14556565C2311yescharacteristic
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#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556562—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562—21no—
326#14556562C2311yescharacteristic
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556562C2311yescharacteristic
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556560—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559—21no—
343Q8×Dic73C2311yescharacteristic
344Q8×Dic73C2311yescharacteristic
345C4×D292—21no—
346C4×D292—21no—
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349C4×D292C2311yescharacteristic
350D4×Dic73—21no—
351D4×Dic73D411yescharacteristic
352D4×Dic73C2311yescharacteristic
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553D411yescharacteristic
357#14556553C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73—21no—
364C4×C22⋊D73—21no—
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#14556551D411yescharacteristic
376#14556551D411yescharacteristic
377#14556550C2311yescharacteristic
378#14556549—21no—
379#14556549C2311yescharacteristic
380#14556549C2311yescharacteristic
381#14556547—21no—
382#14556547—21no—
383C2×C4⋊Dic73C2311yescharacteristic
384C4⋊C4×D73—21no—
385C4⋊C4×D73D411yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C2×C22⋊Dic73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73D411yescharacteristic
393C22⋊C4×D73D411yescharacteristic
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556523C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442C4×#10596831C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C22×Q8×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449#135×C73—42no—
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73—42no—
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C22×C8×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462#124×C73—21no—
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73—21no—
470#121×C73—21no—
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—41no—
503#11924029—44no—
504#11924029—41no—
505#11924029—41no—
506#11924029—44no—
507#11924028—22no—
508#11924028—41no—
509#11924028—44no—
510#11924028—82no—
511#11924027—41no—
512#11924027—41no—
513#11924027—44no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146C2411yescharacteristic
517Q8×D73—22no—
518Q8×D73—41no—
519C2×D292—21no—
520C2×D292—22no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—41no—
529C2×D292—44no—
530C2×D292C2×D411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
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—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—44no—
552C2×C22⋊D73—82no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—24no—
556D4×D73—22no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—41no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—82no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73C2×D411yescharacteristic
567C22×Dic73C2×D411yescharacteristic
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—41no—
580C2×C4×D73—41no—
581C2×C4×D73—41no—
582C2×C4×D73—41no—
583C2×C4×D73—44no—
584C2×C4×D73—44no—
585C2×C4×D73C2×D411yescharacteristic
586C2×C4×D73C2×D411yescharacteristic
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594#11924018—41no—
595#11924017—41no—
596#11924016—41no—
597#11924016—41no—
598#11924015—22no—
599#11924015—22no—
600#11924015—41no—
601#11924015—41no—
602D584—22no—
603D584—41no—
604#11924013—22no—
605#11924013—22no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609C2×#10596831—41no—
610C2×#10596831—41no—
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C8×D73—41no—
616C8×D73—41no—
617C8×D73—41no—
618C8×D73—41no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73C2×D411yescharacteristic
624C4⋊Dic73C2411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73—21no—
676C4×Dic73C2×D411yescharacteristic
677C4×Dic73C2×D411yescharacteristic
678C4×Dic73C2411yescharacteristic
679C24×C73—21no—
680#41×C73—22no—
681#41×C73—41no—
682#41×C73—41no—
683#41×C73—41no—
684C2×Q8×C73—21no—
685C2×Q8×C73—22no—
686C2×Q8×C73—41no—
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—41no—
696C2×D4×C73—41no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C2×D4×C73C2411yescharacteristic
700C2×D4×C73C2411yescharacteristic
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73—21no—
704C22×C4×C73—21no—
705C22×C4×C73C2411yescharacteristic
706C22×C4×C73C2411yescharacteristic
707Q16×C73—22no—
708Q16×C73—41no—
709SD16×C73—22no—
710SD16×C73—22no—
711SD16×C73—41no—
712SD16×C73—41no—
713SD16×C73—41no—
714D8×C73—41no—
715D8×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73—41no—
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73C2×D411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73C2×D411yescharacteristic
738C22⋊C4×C73C2×D411yescharacteristic
739C42×C73—21no—
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73—42no—
745C23×C73—81no—
746C23×C73—81no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C22×D73—21no—
750C22×D73—22no—
751C22×D73—22no—
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—41no—
755C22×D73—41no—
756C22×D73—41no—
757C22×D73—41no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73C22×D411yescharacteristic
768C22×D73C22×D411yescharacteristic
769C22×D73C22×D411yescharacteristic
770Q8×C73—21no—
771Q8×C73—21no—
772Q8×C73—21no—
773Q8×C73—21no—
774Q8×C73—21no—
775Q8×C73—42no—
776Q8×C73H(5,𝔽2)12yes—
777D4×C73—22no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—42no—
785D4×C73—42no—
786D4×C73—81no—
787D4×C73—81no—
788D4×C73—81no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—42no—
799C2×C4×C73—42no—
800C2×C4×C73—81no—
801C2×C4×C73—81no—
802C2×C4×C73C22×D411yescharacteristic
803C2×C4×C73C22×D411yescharacteristic
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C2511yescharacteristic
807C22⋊D73—22no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73#13514yescomplemented
826C2×Dic73—21no—
827C2×Dic73—21no—
828C2×Dic73—21no—
829C2×Dic73—21no—
830C2×Dic73—21no—
831C2×Dic73—41no—
832C2×Dic73—41no—
833C2×Dic73—42no—
834C2×Dic73—42no—
835C2×Dic73—81no—
836C2×Dic73C22×D411yescharacteristic
837C2×Dic73C22×D411yescharacteristic
838C2×Dic73C22×D411yescharacteristic
839C2×Dic73C22×D411yescharacteristic
840C2×Dic73C22×D411yescharacteristic
841D292—24no—
842D292—22no—
843D292—21no—
844D292—21no—
845D292—21no—
846D292—21no—
847D292—21no—
848D292—42no—
849D292—42no—
850D292—42no—
851D292—42no—
852D292—42no—
853D292—42no—
854D292—81no—
855D292H(5,𝔽2)12yes—
856C4×D73—24no—
857C4×D73—21no—
858C4×D73—21no—
859C4×D73—21no—
860C4×D73—21no—
861C4×D73—21no—
862C4×D73—21no—
863C4×D73—22no—
864C4×D73—41no—
865C4×D73—41no—
866C4×D73—41no—
867C4×D73—41no—
868C4×D73—41no—
869C4×D73—42no—
870C4×D73—42no—
871C4×D73—42no—
872C4×D73—42no—
873C4×D73—42no—
874C4×D73—42no—
875C4×D73—81no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879Dic146—21no—
880Dic146—21no—
881Dic146—42no—
882Dic146—81no—
883C8×C73—21no—
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887#10596831—21no—
888#10596831—21no—
889#10596831—21no—
890#10596831—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—41no—
897C22×C73—41no—
898C22×C73—41no—
899C22×C73—41no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—162no—
906C22×C73C2×#13512yes—
907C22×C73C23×D411yescharacteristic
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—22no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—41no—
920C2×D73—41no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—82no—
926C2×D73—84no—
927C2×D73—82no—
928C2×D73—84no—
929C2×D73—162no—
930C2×D73C2×#13512yes—
931C4×C73—21no—
932C4×C73—22no—
933C4×C73—21no—
934C4×C73—21no—
935C4×C73—21no—
936C4×C73—41no—
937C4×C73—41no—
938C4×C73—41no—
939C4×C73—41no—
940C4×C73C2×H(5,𝔽2)11yescharacteristic
941C4×C73C2×H(5,𝔽2)11yescharacteristic
942Dic73—21no—
943Dic73—21no—
944Dic73—21no—
945Dic73—21no—
946Dic73—41no—
947Dic73—41no—
948Dic73—41no—
949Dic73—41no—
950Dic73—41no—
951Dic73C2×#13512yes—
952#61567—731nomaximal, Sylow
953C2×C73—22no—
954C2×C73—41no—
955C2×C73—81no—
956C2×C73—81no—
957C2×C73—81no—
958C2×C73#348411yescharacteristic
959C2×C73C22×#13511yescharacteristic
960C2×C73#358511yescharacteristic
961D73—22no—
962D73—41no—
963D73—41no—
964D73—42no—
965D73—81no—
966D73—81no—
967#3519—731no—
968D4×#41—731no—
969#3305—731no—
970#3303—731no—
971#3301—731no—
972#3301—731no—
973#3299—731no—
974#3297—731no—
975#3297—731no—
976#3295—731no—
977#3287—731no—
978#3284—731no—
979#3282—731no—
980#3282D7311yescharacteristic, complemented
981D4×SD16—731no—
982#3280—731no—
983#3280—731no—
984D4×D8—731no—
985#3212—731no—
986#3207—731no—
987#3191—731no—
988#3191—731no—
989#3188—731no—
990#3188—731no—
991#3106—731no—
992#3102—731no—
993#3002—731no—
994#3002—731no—
995C2×#449—731no—
996C2×#449—731no—
997#2972—731no—
998C73#6156711yescharacteristic, complemented, Sylow
999C22×#41—731no—
1000C22×#41—731no—
1001C2×#135—731no—
1002C2×#135—731no—
1003C2×#135—731no—
1004C2×#135C2×D7311yescharacteristic, complemented
1005C22×SD16—731no—
1006C22×SD16C2×D7311yescharacteristic, complemented
1007C22×D8—731no—
1008C22×D8—731no—
1009#555—731no—
1010#554—731no—
1011#553—731no—
1012#553—731no—
1013#553—1461no—
1014#550—731no—
1015#550—731no—
1016D4×Q8—731no—
1017#548—731no—
1018#548C2×D7311yescharacteristic, complemented
1019#547—731no—
1020#547—1461no—
1021#546—731no—
1022#546—731no—
1023#546—731no—
1024#546—1461no—
1025#546—1461no—
1026#546—1461no—
1027#546—1461no—
1028#546C2×D7311yescharacteristic, complemented
1029D42—731no—
1030D42—731no—
1031D42—1461no—
1032D42—1461no—
1033#540—1461no—
1034#538—1461no—
1035#538—1461no—
1036#532—731no—
1037#532—731no—
1038#532—1461no—
1039#529—731no—
1040#525—731no—
1041#525—731no—
1042#525—731no—
1043#525—731no—
1044#525—1461no—
1045#525—1461no—
1046C2×#121—731no—
1047C2×#121—731no—
1048#518—1461no—
1049C4×#41—731no—
1050C2×C4×D4—731no—
1051C2×C4×D4—1461no—
1052#495—731no—
1053#495C2×D7311yescharacteristic, complemented
1054#493—731no—
1055#492—731no—
1056#488—731no—
1057#488—731no—
1058#487—731no—
1059#486—731no—
1060#485—731no—
1061#485—731no—
1062#485—731no—
1063#484—731no—
1064#484—731no—
1065#482—731no—
1066#482—731no—
1067#482—731no—
1068#482—731no—
1069#482—731no—
1070#481—731no—
1071#481—731no—
1072#479—731no—
1073#478—731no—
1074#477—731no—
1075#476—731no—
1076#467—731no—
1077#467—731no—
1078#466—731no—
1079#466—731no—
1080#466—731no—
1081#466—731no—
1082#466—731no—
1083#466—731no—
1084#465—731no—
1085#465—731no—
1086#465—731no—
1087#465—731no—
1088#465—731no—
1089#465—731no—
1090#465C2×D7311yescharacteristic, complemented
1091#465C2×D7311yescharacteristic, complemented
1092#464C2×D7311yescharacteristic, complemented
1093#463—731no—
1094#463—731no—
1095#463—731no—
1096#463—731no—
1097#463C2×D7311yescharacteristic, complemented
1098#462—731no—
1099#461—731no—
1100#460—731no—
1101#460—731no—
1102#459—731no—
1103#459—731no—
1104#452—731no—
1105#452—731no—
1106#452—731no—
1107#452—731no—
1108#452C2×D7311yescharacteristic, complemented
1109#451—731no—
1110#451C2×D7311yescharacteristic, complemented
1111#450—731no—
1112#450—731no—
1113#450—731no—
1114#450—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449—731no—
1119#449—731no—
1120#449—731no—
1121#449—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#449—731no—
1131#449—731no—
1132#449—731no—
1133#449C2×D7311yescharacteristic, complemented
1134#448—731no—
1135#448—731no—
1136#447—731no—
1137#447—731no—
1138#447—731no—
1139#447C2×D7311yescharacteristic, complemented
1140C4×Q16—731no—
1141C4×SD16—731no—
1142C4×SD16—731no—
1143C4×SD16—731no—
1144C4×SD16C2×D7311yescharacteristic, complemented
1145C4×D8—731no—
1146C4×D8—731no—
1147C4×D8—731no—
1148C8×D4—731no—
1149C8×D4—731no—
1150C8×D4—731no—
1151C8×D4—731no—
1152C8×D4—731no—
1153C8×D4—731no—
1154C8×D4—731no—
1155C8×D4C2×D7311yescharacteristic, complemented
1156#431—731no—
1157#431—731no—
1158#416—731no—
1159#416—731no—
1160#416—731no—
1161#416—731no—
1162C2×#103—731no—
1163C2×#103—731no—
1164C2×#102—731no—
1165C2×#102—731no—
1166C2×C22⋊C8—731no—
1167C2×C22⋊C8—731no—
1168C2×C22⋊C8—731no—
1169C2×C22⋊C8—731no—
1170C2×#41—2922no—
1171C2×#41—2922no—
1172C2×#41—2922no—
1173C2×#41—2922no—
1174C2×#41—731no—
1175C2×#41—731no—
1176C2×#41—731no—
1177C2×#41—731no—
1178C2×#41—731no—
1179C2×#41—731no—
1180C2×#41—731no—
1181C2×#41—1461no—
1182C2×#41—1461no—
1183C2×#41—1461no—
1184C2×#41—1461no—
1185C2×#41—1461no—
1186C2×#41C22×D7311yescharacteristic
1187C2×#41C22×D7311yescharacteristic
1188C22×Q8—731no—
1189C22×Q8C22×D7311yescharacteristic
1190C22×D4—731no—
1191C22×D4—731no—
1192C22×D4—731no—
1193C22×D4—731no—
1194C22×D4—1461no—
1195C22×D4—1461no—
1196C22×D4—1461no—
1197C22×D4—1461no—
1198C22×D4—1461no—
1199C22×D4—1461no—
1200C22×D4C22×D7311yescharacteristic
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—1461no—
1204C23×C4—1461no—
1205#135—42no—
1206#135—2922no—
1207#135—2922no—
1208#135—2922no—
1209C2×Q16—731no—
1210C2×Q16C22×D7311yescharacteristic
1211C2×Q16C22×D7311yescharacteristic
1212C2×SD16—42no—
1213C2×SD16—2922no—
1214C2×SD16—731no—
1215C2×SD16—731no—
1216C2×SD16—731no—
1217C2×SD16—731no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16C22×D7311yescharacteristic
1222C2×SD16C22×D7311yescharacteristic
1223C2×SD16C22×D7311yescharacteristic
1224C2×SD16C22×D7311yescharacteristic
1225C2×SD16C22×D7311yescharacteristic
1226C2×D8—2922no—
1227C2×D8—2922no—
1228C2×D8—731no—
1229C2×D8—731no—
1230C2×D8—731no—
1231C2×D8—731no—
1232C2×D8—731no—
1233C2×D8—731no—
1234C2×D8—731no—
1235C2×D8C22×D7311yescharacteristic
1236C2×D8C22×D7311yescharacteristic
1237C22×C8—731no—
1238C22×C8—731no—
1239C22×C8—731no—
1240C22×C8—731no—
1241C22×C8—731no—
1242C22×C8—731no—
1243C22×C8C22×D7311yescharacteristic
1244C22×C8C22×D7311yescharacteristic
1245C4⋊Q8—731no—
1246C4⋊Q8—731no—
1247C4⋊Q8—1461no—
1248#127—731no—
1249#127—731no—
1250#127—1461no—
1251#127—1461no—
1252#126—1461no—
1253#126—1461no—
1254#126—1461no—
1255#125—731no—
1256#125—1461no—
1257#124—21no—
1258#124—731no—
1259#124—1461no—
1260#124—1461no—
1261#124—1461no—
1262#124—1461no—
1263#124C22×D7311yescharacteristic
1264#124C22×D7311yescharacteristic
1265#123—21no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272#123—1461no—
1273#123—1461no—
1274#123—1461no—
1275#123—1461no—
1276#123—1461no—
1277#123—1461no—
1278C22⋊Q8—21no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8C22×D7311yescharacteristic
1290C22⋊Q8C22×D7311yescharacteristic
1291#121—21no—
1292#121—21no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121C22×D7311yescharacteristic
1326#121C22×D7311yescharacteristic
1327#120—21no—
1328#120—1461no—
1329#120—1461no—
1330#120—1461no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339C4×Q8—731no—
1340C4×Q8—731no—
1341C4×Q8C22×D7311yescharacteristic
1342C4×D4—21no—
1343C4×D4—731no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—731no—
1353C4×D4—731no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4—1461no—
1365C4×D4—1461no—
1366C4×D4—1461no—
1367C4×D4—1461no—
1368C4×D4—1461no—
1369C4×D4—1461no—
1370C4×D4—1461no—
1371C4×D4—1461no—
1372C4×D4—1461no—
1373C4×D4—1461no—
1374C4×D4—1461no—
1375C4×D4C22×D7311yescharacteristic
1376C4×D4C22×D7311yescharacteristic
1377#117—731no—
1378#117—731no—
1379#117—731no—
1380#117—1461no—
1381#117—1461no—
1382#117—1461no—
1383C2×C4⋊C4—731no—
1384C2×C4⋊C4—731no—
1385C2×C4⋊C4—731no—
1386C2×C4⋊C4—1461no—
1387C2×C22⋊C4—21no—
1388C2×C22⋊C4—731no—
1389C2×C22⋊C4—731no—
1390C2×C22⋊C4—1461no—
1391C2×C22⋊C4—1461no—
1392C2×C22⋊C4—1461no—
1393C2×C22⋊C4—1461no—
1394C2×C22⋊C4—1461no—
1395C2×C42—731no—
1396C2×C42—1461no—
1397#107—731no—
1398#107—731no—
1399#107—731no—
1400#107—731no—
1401#106—731no—
1402#106—731no—
1403#106—731no—
1404#106C22×D7311yescharacteristic
1405C4⋊C8—731no—
1406C4⋊C8—731no—
1407C4⋊C8—731no—
1408C4⋊C8C22×D7311yescharacteristic
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103—731no—
1420#103C22×D7311yescharacteristic
1421#103C22×D7311yescharacteristic
1422#103C22×D7311yescharacteristic
1423#102—731no—
1424#102—731no—
1425#102—731no—
1426#102—731no—
1427#102—731no—
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#102C22×D7311yescharacteristic
1439#102C22×D7311yescharacteristic
1440#102C22×D7311yescharacteristic
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8—731no—
1446C22⋊C8—731no—
1447C22⋊C8—731no—
1448C22⋊C8—731no—
1449C22⋊C8—731no—
1450C22⋊C8—731no—
1451C22⋊C8C22×D7311yescharacteristic
1452C22⋊C8C22×D7311yescharacteristic
1453C4×C8—731no—
1454C4×C8—731no—
1455C4×C8—731no—
1456C4×C8C22×D7311yescharacteristic
1457C24—21no—
1458C24—731no—
1459C24—731no—
1460C24—1461no—
1461C24—1461no—
1462C24—1461no—
1463#41—22no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—2921no—
1468#41—2924no—
1469#41—2924no—
1470#41—2921no—
1471#41—2921no—
1472#41—2924no—
1473#41—2924no—
1474#41—2921no—
1475#41—2921no—
1476#41—2921no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—5842no—
1481#41—1462no—
1482#41—1462no—
1483#41—1462no—
1484#41—1462no—
1485#41—1462no—
1486C2×Q8—21no—
1487C2×Q8—22no—
1488C2×Q8—41no—
1489C2×Q8—2921no—
1490C2×Q8—731no—
1491C2×Q8—1461no—
1492C2×Q8—1461no—
1493C2×Q8—1462no—
1494C2×Q8C23×D7311yescharacteristic
1495C2×Q8C23×D7311yescharacteristic
1496C2×Q8C23×D7311yescharacteristic
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—41no—
1503C2×D4—41no—
1504C2×D4—2921no—
1505C2×D4—2924no—
1506C2×D4—2924no—
1507C2×D4—2924no—
1508C2×D4—2924no—
1509C2×D4—2921no—
1510C2×D4—2921no—
1511C2×D4—2921no—
1512C2×D4—5842no—
1513C2×D4—5842no—
1514C2×D4—731no—
1515C2×D4—731no—
1516C2×D4—731no—
1517C2×D4—731no—
1518C2×D4—731no—
1519C2×D4—731no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1462no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1461no—
1533C2×D4—1461no—
1534C2×D4—1462no—
1535C2×D4—1464no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1461no—
1546C2×D4—1461no—
1547C2×D4—1461no—
1548C2×D4D4×D7311yescharacteristic
1549C2×D4C23×D7311yescharacteristic
1550C2×D4C23×D7311yescharacteristic
1551C2×D4C23×D7311yescharacteristic
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—2921no—
1557C22×C4—2921no—
1558C22×C4—2921no—
1559C22×C4—2921no—
1560C22×C4—2924no—
1561C22×C4—2924no—
1562C22×C4—731no—
1563C22×C4—731no—
1564C22×C4—731no—
1565C22×C4—731no—
1566C22×C4—731no—
1567C22×C4—731no—
1568C22×C4—731no—
1569C22×C4—731no—
1570C22×C4—731no—
1571C22×C4—731no—
1572C22×C4—731no—
1573C22×C4—1461no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4—1461no—
1577C22×C4—1461no—
1578C22×C4—1461no—
1579C22×C4—1461no—
1580C22×C4—1461no—
1581C22×C4—1461no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4—1461no—
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589Q16—22no—
1590Q16—41no—
1591Q16—2921no—
1592SD16—22no—
1593SD16—22no—
1594SD16—41no—
1595SD16—41no—
1596SD16—41no—
1597SD16—2921no—
1598SD16—2921no—
1599SD16—2921no—
1600SD16—2921no—
1601SD16—2921no—
1602SD16—1462no—
1603SD16—1462no—
1604D8—41no—
1605D8—41no—
1606D8—2921no—
1607D8—2921no—
1608D8—2921no—
1609D8—2921no—
1610D8—1462no—
1611D8—1462no—
1612D8—1462no—
1613C2×C8—41no—
1614C2×C8—41no—
1615C2×C8—2921no—
1616C2×C8—2921no—
1617C2×C8—2921no—
1618C2×C8—2921no—
1619C2×C8—2921no—
1620C2×C8—2921no—
1621C2×C8—731no—
1622C2×C8—731no—
1623C2×C8—731no—
1624C2×C8—731no—
1625C2×C8C23×D7311yescharacteristic
1626C2×C8C23×D7311yescharacteristic
1627C2×C8C23×D7311yescharacteristic
1628C2×C8C23×D7311yescharacteristic
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—731no—
1633C4⋊C4—731no—
1634C4⋊C4—731no—
1635C4⋊C4—731no—
1636C4⋊C4—731no—
1637C4⋊C4—731no—
1638C4⋊C4—731no—
1639C4⋊C4—1461no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4D4×D7311yescharacteristic
1654C4⋊C4C23×D7311yescharacteristic
1655C4⋊C4C23×D7311yescharacteristic
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—731no—
1666C22⋊C4—731no—
1667C22⋊C4—731no—
1668C22⋊C4—731no—
1669C22⋊C4—731no—
1670C22⋊C4—731no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1697C22⋊C4D4×D7311yescharacteristic
1698C42—21no—
1699C42—731no—
1700C42—731no—
1701C42—731no—
1702C42—1461no—
1703C42—1461no—
1704C42—1461no—
1705C42—1461no—
1706C42—1461no—
1707C42C23×D7311yescharacteristic
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—42no—
1712C23—81no—
1713C23—81no—
1714C23—2922no—
1715C23—2921no—
1716C23—2921no—
1717C23—2921no—
1718C23—2921no—
1719C23—2922no—
1720C23—2922no—
1721C23—2922no—
1722C23—2922no—
1723C23—5841no—
1724C23—5841no—
1725C23—5841no—
1726C23—5841no—
1727C23—731no—
1728C23—731no—
1729C23—731no—
1730C23—1462no—
1731C23—1461no—
1732C23—1461no—
1733C23—1461no—
1734C23—1462no—
1735C23C2×D4×D7311yescharacteristic
1736C23C2×D4×D7311yescharacteristic
1737Q8—21no—
1738Q8—21no—
1739Q8—21no—
1740Q8—21no—
1741Q8—21no—
1742Q8—42no—
1743Q8—2922no—
1744Q8—5841no—
1745Q8—1461no—
1746Q8—1461no—
1747Q8#1455663612yes—
1748D4—22no—
1749D4—21no—
1750D4—21no—
1751D4—21no—
1752D4—21no—
1753D4—21no—
1754D4—21no—
1755D4—42no—
1756D4—42no—
1757D4—81no—
1758D4—81no—
1759D4—81no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2922no—
1765D4—2922no—
1766D4—2922no—
1767D4—2922no—
1768D4—2922no—
1769D4—2922no—
1770D4—2922no—
1771D4—2922no—
1772D4—2922no—
1773D4—2922no—
1774D4—2922no—
1775D4—5841no—
1776D4—5841no—
1777D4—5841no—
1778D4—5841no—
1779D4—5841no—
1780D4—5841no—
1781D4—5841no—
1782D4—5841no—
1783D4—5841no—
1784D4—734no—
1785D4—732no—
1786D4—1462no—
1787D4—1464no—
1788D4—1462no—
1789D4—1461no—
1790D4—1461no—
1791D4—1461no—
1792D4—1461no—
1793D4—1461no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—42no—
1804C2×C4—42no—
1805C2×C4—81no—
1806C2×C4—81no—
1807C2×C4—2922no—
1808C2×C4—2922no—
1809C2×C4—2922no—
1810C2×C4—2921no—
1811C2×C4—2921no—
1812C2×C4—2921no—
1813C2×C4—2921no—
1814C2×C4—2921no—
1815C2×C4—2922no—
1816C2×C4—2922no—
1817C2×C4—2922no—
1818C2×C4—2922no—
1819C2×C4—2922no—
1820C2×C4—2921no—
1821C2×C4—2921no—
1822C2×C4—5841no—
1823C2×C4—5841no—
1824C2×C4—5841no—
1825C2×C4—5841no—
1826C2×C4—5841no—
1827C2×C4—731no—
1828C2×C4—731no—
1829C2×C4—731no—
1830C2×C4—731no—
1831C2×C4—731no—
1832C2×C4—1462no—
1833C2×C4—1464no—
1834C2×C4—1461no—
1835C2×C4—1461no—
1836C2×C4—1461no—
1837C2×C4—1461no—
1838C2×C4—1461no—
1839C2×C4—1461no—
1840C2×C4—1461no—
1841C2×C4—1461no—
1842C2×C4—1461no—
1843C2×C4—1461no—
1844C2×C4—1461no—
1845C2×C4C2×D4×D7311yescharacteristic
1846C2×C4C2×D4×D7311yescharacteristic
1847C2×C4C2×D4×D7311yescharacteristic
1848C2×C4C2×D4×D7311yescharacteristic
1849C2×C4C24×D7311yescharacteristic
1850C8—21no—
1851C8—21no—
1852C8—21no—
1853C8—21no—
1854C8—1461no—
1855C8—1461no—
1856C8—1461no—
1857C8—1461no—
1858C22—21no—
1859C22—21no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—162no—
1873C22—2921no—
1874C22—2921no—
1875C22—2921no—
1876C22—2921no—
1877C22—2921no—
1878C22—2921no—
1879C22—2921no—
1880C22—2921no—
1881C22—5842no—
1882C22—5844no—
1883C22—5842no—
1884C22—5844no—
1885C22—732no—
1886C22—11682no—
1887C22—1462no—
1888C22—1461no—
1889C22—1461no—
1890C22—1461no—
1891C22—1461no—
1892C22—1461no—
1893C22—1461no—
1894C22—1461no—
1895C22—1461no—
1896C22#135×D7312yes—
1897C22C22×D4×D7311yescharacteristic
1898C4—21no—
1899C4—21no—
1900C4—22no—
1901C4—21no—
1902C4—21no—
1903C4—41no—
1904C4—41no—
1905C4—41no—
1906C4—41no—
1907C4—2921no—
1908C4—2921no—
1909C4—2921no—
1910C4—2921no—
1911C4—2921no—
1912C4—732no—
1913C4—1461no—
1914C4—1461no—
1915C4—1461no—
1916C4—1461no—
1917C4H(5,𝔽2)×D7311yescharacteristic
1918C4C2×#1455663611yescharacteristic
1919C2—22no—
1920C2—41no—
1921C2—81no—
1922C2—81no—
1923C2—81no—
1924C2—2922no—
1925C2—2921no—
1926C2—2921no—
1927C2—5841no—
1928C2—5841no—
1929C2—1462no—
1930C2#2262355911yescharacteristic
1931C2C2×#135×D7311yescharacteristic
1932C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3282C2
socleC22×C73C23×D4
hypercenter#3282D73
hypocenterC73#61567
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3282

Complements

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

NH ≅ G/Ntype
1. #22623960C2semidirect
2. #22623420C2semidirect
3. #22621874C2semidirect
4. #22621854C2semidirect
5. #22621838C2semidirect
6. #22621833C2semidirect
7. #22621800C2semidirect
8. #22621788C2semidirect
9. #22621783C2semidirect
10. #22621750C2semidirect
11. #22621685C2semidirect
12. #22621654C2semidirect
13. #22621633C2semidirect
14. SD16×C22⋊D73C2semidirect
15. #22621615C2semidirect
16. #22621612C2semidirect
17. #22621601C2semidirect
18. #22620902C2semidirect
19. #22620863C2semidirect
20. #22620723C2semidirect
21. #22620720C2semidirect
22. #22620697C2semidirect
23. #22620693C2semidirect
24. #22619989C2semidirect
25. #22619948C2semidirect
26. #22619154C2semidirect
27. #22619145C2semidirect
28. C2×#17988731C2semidirect
29. #449×D73C2semidirect
30. #22618952C2semidirect
31. C73×#3282C2semidirect
32. C22×#11924029C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556614C22semidirect
35. C2×#14556614C22semidirect
36. C2×#14556611C22semidirect
37. C2×SD16×D73C22semidirect
38. C22×#11924013C22semidirect
39. C2×D8×D73C22semidirect
40. #17989301C22semidirect
42. #17989287C22semidirect
43. #17989283C22semidirect
45. #17989256C22semidirect
46. #17989256C22semidirect
48. #17989249C22semidirect
50. #17989239C22semidirect
53. #17989233C22semidirect
55. #17989230C22semidirect
56. #17989230C22semidirect
66. #17989136C22semidirect
67. #17989134C22semidirect
68. #17989116C22semidirect
70. #17989100C22semidirect
71. #17989100C22semidirect
73. #17989097C22semidirect
74. #17989094C22semidirect
75. C2×#14556562C22semidirect
76. #121×D73C22semidirect
78. C4×#11924029C22semidirect
81. #17988969C22semidirect
82. #17988962C22semidirect
83. #17988958C22semidirect
84. #17988942C22semidirect
85. #17988941C22semidirect
86. #17988936C22semidirect
87. #17988932C22semidirect
88. #17988931C22semidirect
89. #17988926C22semidirect
90. #17988925C22semidirect
91. #17988923C22semidirect
92. #17988921C22semidirect
93. #17988913C22semidirect
94. #17988912C22semidirect
95. #17988910C22semidirect
96. #17988909C22semidirect
97. #17988909C22semidirect
98. #17988907C22semidirect
99. #17988903C22semidirect
100. #17988894C22semidirect
101. #17988888C22semidirect
102. #17988880C22semidirect
103. #17988876C22semidirect
104. #17988826C22semidirect
105. #17988825C22semidirect
106. #17988823C22semidirect
107. #17988822C22semidirect
108. #17988821C22semidirect
109. #17988821C22semidirect
110. #17988820C22semidirect
111. #17988820C22semidirect
112. #17988819C22semidirect
113. #17988818C22semidirect
114. #17988816C22semidirect
115. #17988815C22semidirect
116. #17988815C22semidirect
117. #17988813C22semidirect
118. #17988803C22semidirect
119. #17988802C22semidirect
120. #17988799C22semidirect
121. #17988799C22semidirect
122. #17988795C22semidirect
123. #17988790C22semidirect
124. #17988785C22semidirect
125. #17988785C22semidirect
126. #17988781C22semidirect
127. #17988780C22semidirect
128. #17988752C22semidirect
129. #17988748C22semidirect
130. #17988748C22semidirect
131. #17988746C22semidirect
132. #17988741C22semidirect
133. #17988738C22semidirect
134. #17988737C22semidirect
135. #17988736C22semidirect
136. #17988736C22semidirect
137. #17988735C22semidirect
138. #17988735C22semidirect
139. #17988734C22semidirect
140. #17988733C22semidirect
141. #17988732C22semidirect
142. #17988732C22semidirect
144. #17988731C22semidirect
145. #17988731C22semidirect
146. #17988731C22semidirect
147. #17988731C22semidirect
148. #17988731C22semidirect
149. #17988731C22semidirect
150. #17988731C22semidirect
151. #17988731C22semidirect
152. #17988730C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988726C22semidirect
156. #17988724C22semidirect
157. #17988723C22semidirect
158. #17988722C22semidirect
159. #17988719C22semidirect
160. Q16×Dic73C22semidirect
161. SD16×Dic73C22semidirect
162. C4×#11924015C22semidirect
163. #17988672C22semidirect
164. C4×D584C22semidirect
165. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. C8×D292C22semidirect
168. D4×#10596831C22semidirect
169. #17988652C22semidirect
171. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988639C22semidirect
175. #17988638C22semidirect
176. #17988584C22semidirect
177. #17988583C22semidirect
178. #17988582C22semidirect
179. #17988582C22semidirect
180. C2×#14556515C22semidirect
181. #103×D73C22semidirect
182. C2×#14556513C22semidirect
183. #102×D73C22semidirect
184. C2×#14556503C22semidirect
185. C2×#14556503C22semidirect
186. C22⋊C8×D73C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×#135×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #465×C73C22semidirect
194. #465×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
198. #451×C73C22semidirect
199. #449×C73C22semidirect
200. #447×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. C8×D4×C73C22semidirect
825. C22⋊D73#135semidirect
980. #3282D73semidirect
998. C73#61567semidirect
1004. C2×#135C2×D73semidirect
1006. C22×SD16C2×D73semidirect
1018. #548C2×D73semidirect
1028. #546C2×D73semidirect
1053. #495C2×D73semidirect
1090. #465C2×D73semidirect
1091. #465C2×D73semidirect
1092. #464C2×D73semidirect
1097. #463C2×D73semidirect
1108. #452C2×D73semidirect
1110. #451C2×D73semidirect
1133. #449C2×D73semidirect
1139. #447C2×D73semidirect
1144. C4×SD16C2×D73semidirect
1155. C8×D4C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226239602
#226234202
#226218742
#226218542
#226218382
#226218332
#226218002
#226217882
#226217832
#226217502
#226216852
#226216542
#226216332
SD16×C22⋊D732
#226216152
#226216122
#226216012
#226209022
#226208632
#226207232
#226207202
#226206972
#226206932
#226199892
#226199482
#226191542
#226191452
C2×#179887312
#449×D732
#226189522
C73×#32822
#6156773