Finite Group Databasebeta

← #33972214

Subgroups — #33972214

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#22624250C211yesmaximal, characteristic, complemented
2#22623599C211yesmaximal, characteristic, complemented
3#22622085C211yesmaximal, characteristic, complemented
4#22621951C211yesmaximal, characteristic, complemented
5#22621923C211yesmaximal, characteristic, complemented
6#22621877C211yesmaximal, characteristic, complemented
7#22621815C211yesmaximal, characteristic, complemented
8#22621775C211yesmaximal, characteristic, complemented
9#22621742C211yesmaximal, characteristic, complemented
10#22621687C211yesmaximal, characteristic, complemented
11#22621641C211yesmaximal, characteristic, complemented
12#22621619C211yesmaximal, characteristic, complemented
13#22621603C211yesmaximal, characteristic, complemented
14#22621476C211yesmaximal, characteristic, complemented
15#22621464C211yesmaximal, characteristic, complemented
16#22621428C211yesmaximal, characteristic, complemented
17#22621418C211yesmaximal, characteristic, complemented
18#22621022C211yesmaximal, characteristic, complemented
19#22620982C211yesmaximal, characteristic, complemented
20#22620831C211yesmaximal, characteristic, complemented
21#22620778C211yesmaximal, characteristic, complemented
22#22620700C211yesmaximal, characteristic, complemented
23#22620678C211yesmaximal, characteristic, complemented
24#22620191C211yesmaximal, characteristic, complemented
25#22620137C211yesmaximal, characteristic, complemented
26#22619237C211yesmaximal, characteristic, complemented
27#22619196C211yesmaximal, characteristic, complemented
28#22619151C211yesmaximal, characteristic, complemented
29#449×D73C211yesmaximal, characteristic, complemented
30#22618982C211yesmaximal, characteristic, complemented
31C73×#3309C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic, complemented
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556613C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989334—21no—
43#17989325—21no—
44#17989300C2211yescharacteristic, complemented
45#17989275C2211yescharacteristic, complemented
46#17989262—21no—
47#17989258C2211yescharacteristic, complemented
48#17989256C2211yescharacteristic, complemented
49#17989249C2211yescharacteristic
50#17989244C2211yescharacteristic, complemented
51#17989238C2211yescharacteristic, complemented
52#17989234—21no—
53#17989234C2211yescharacteristic, complemented
54#17989234C2211yescharacteristic, complemented
55#17989234C2211yescharacteristic, complemented
56#17989233—21no—
57#17989233—21no—
58#17989233C2211yescharacteristic, complemented
59D4×D292C2211yescharacteristic, complemented
60#17989222—21no—
61#17989222C2211yescharacteristic
62#17989221—21no—
63#17989221C2211yescharacteristic, complemented
64#17989202C2211yescharacteristic, complemented
65#17989193C2211yescharacteristic, complemented
66#17989188—21no—
67#17989176—21no—
68#17989168C2211yescharacteristic, complemented
69#17989166—21no—
70#17989166C2211yescharacteristic, complemented
71#17989153—21no—
72#17989153C2211yescharacteristic, complemented
73#17989150—21no—
74#17989150C2211yescharacteristic, complemented
75#17989148—21no—
76#17989099C2211yescharacteristic, complemented
77#17989096—21no—
78#17989096C2211yescharacteristic
79#121×D73—21no—
80#121×D73C2211yescharacteristic, complemented
81#121×D73C2211yescharacteristic, complemented
82#17989069C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988970C2211yescharacteristic, complemented
86#17988963C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988932C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988924C2211yescharacteristic, complemented
92#17988922C2211yescharacteristic, complemented
93#17988911C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988907C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988884C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988866C2211yescharacteristic, complemented
103#17988834C2211yescharacteristic, complemented
104#17988833C2211yescharacteristic, complemented
105#17988832C2211yescharacteristic, complemented
106#17988829C2211yescharacteristic, complemented
107#17988824C2211yescharacteristic, complemented
108#17988823C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988822C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988817C2211yescharacteristic, complemented
115#17988815C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988807C2211yescharacteristic, complemented
119#17988802C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988787C2211yescharacteristic, complemented
124#17988784C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988781C2211yescharacteristic, complemented
127#17988781C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic, complemented
132#17988744C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988739C2211yescharacteristic, complemented
135#17988739C2211yescharacteristic, complemented
136#17988739C2211yescharacteristic, complemented
137#17988735C2211yescharacteristic, complemented
138#17988735C2211yescharacteristic, complemented
139#17988735C2211yescharacteristic, complemented
140#17988734C2211yescharacteristic, complemented
141#17988734C2211yescharacteristic, complemented
142#17988733C2211yescharacteristic, complemented
143#17988733C2211yescharacteristic, complemented
144#17988732C2211yescharacteristic, complemented
145#17988732C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic
147#17988730C2211yescharacteristic, complemented
148#17988730C2211yescharacteristic, complemented
149#17988730C2211yescharacteristic, complemented
150#17988729C2211yescharacteristic, complemented
151#17988727C2211yescharacteristic, complemented
152#17988723C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988722C2211yescharacteristic, complemented
157#17988722C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988698C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988689C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166#17988672C2211yescharacteristic, complemented
167#17988669C2211yescharacteristic, complemented
168C4×#11924013C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988656C2211yescharacteristic, complemented
171#17988655C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic, complemented
173#17988652C2211yescharacteristic, complemented
174C8×C22⋊D73C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988582C2211yescharacteristic, complemented
180#17988581C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182C2×#14556511C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#480×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924029C2311yescharacteristic
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027C2311yescharacteristic
216#41×D73—42no—
217#41×D73—42no—
218C2×Q8×D73C2311yescharacteristic
219C22×D292—21no—
220C22×D292—21no—
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C22×C4×D73—21no—
235C22×C4×D73C2311yescharacteristic
236#14556619—42no—
237#14556618—42no—
238#14556613—42no—
239#14556611—42no—
240#14556611—42no—
241C2×Dic292C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252SD16×D73—42no—
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263D8×D73—42no—
264D8×D73—42no—
265C2×#11924011C2311yescharacteristic
266C22×#10596831C2311yescharacteristic
267C22×#10596831C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271#14556590C2311yescharacteristic
272#14556588C2311yescharacteristic
273#14556587—21no—
274#14556587—21no—
275#14556587—21no—
276#14556587C2311yescharacteristic
277#14556586—21no—
278#14556584—21no—
279#14556582—21no—
280#14556579—21no—
281#14556579—21no—
282#14556579C2311yescharacteristic
283#14556578—21no—
284#14556578C2311yescharacteristic
285#14556578C2311yescharacteristic
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556576—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576D411yescharacteristic
295#14556575—21no—
296#14556574—21no—
297#14556574—21no—
298#14556573—21no—
299#14556573—21no—
300#14556573—21no—
301#14556573D411yescharacteristic
302#14556571—21no—
303#14556571—21no—
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556571C2311yescharacteristic
308#14556570—21no—
309#14556570—21no—
310#14556570C2311yescharacteristic
311#14556569—21no—
312#14556569D411yescharacteristic
313#14556568—21no—
314#14556568D411yescharacteristic
315#14556566—21no—
316#14556566—21no—
317#14556566—21no—
318#14556566—21no—
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565—21no—
328#14556565C2311yescharacteristic
329#14556565C2311yescharacteristic
330#14556565C2311yescharacteristic
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564D411yescharacteristic
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563D411yescharacteristic
346#14556562—21no—
347#14556562—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562—21no—
351#14556562—21no—
352#14556562—21no—
353#14556562C2311yescharacteristic
354#14556562C2311yescharacteristic
355#14556562C2311yescharacteristic
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561D411yescharacteristic
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365#14556559—21no—
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559D411yescharacteristic
373Q8×Dic73C2311yescharacteristic
374C4×Dic146C2311yescharacteristic
375C4×D292—21no—
376C4×D292—21no—
377C4×D292—21no—
378C4×D292—21no—
379C4×D292C2311yescharacteristic
380C4×D292C2311yescharacteristic
381#14556553—21no—
382#14556553—21no—
383#14556553C2311yescharacteristic
384#14556553C2311yescharacteristic
385#14556553C2311yescharacteristic
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73C2311yescharacteristic
389C4×C22⋊D73C2311yescharacteristic
390#14556549—21no—
391#14556549C2311yescharacteristic
392#14556548—21no—
393#14556548—21no—
394#14556548C2311yescharacteristic
395C4⋊C4×D73—21no—
396C4⋊C4×D73C2311yescharacteristic
397C4⋊C4×D73C2311yescharacteristic
398C22⋊C4×D73—21no—
399C22⋊C4×D73—21no—
400C22⋊C4×D73—21no—
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556524C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556501C2311yescharacteristic
445C4×#10596831C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454#127×C73—21no—
455#127×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73C2311yescharacteristic
458#123×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73—21no—
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73C2×D411yescharacteristic
497#11924029—22no—
498#11924029—22no—
499#11924029—22no—
500#11924029—41no—
501#11924028—22no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510#11924028—44no—
511#11924028—82no—
512#11924027—41no—
513#11924027—41no—
514#11924027—44no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520Q8×D73—22no—
521Q8×D73—41no—
522C2×D292—21no—
523C2×D292—22no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—21no—
533C2×D292—41no—
534C2×D292—44no—
535C2×D292—82no—
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
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—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—21no—
557C2×C22⋊D73—21no—
558C2×C22⋊D73—21no—
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—22no—
564D4×D73—22no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—44no—
574D4×D73—44no—
575D4×D73—44no—
576D4×D73—82no—
577D4×D73—82no—
578D4×D73—82no—
579D4×D73—82no—
580C22×Dic73—21no—
581C22×Dic73C2×D411yescharacteristic
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—41no—
595C2×C4×D73—41no—
596C2×C4×D73—44no—
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600C2×C4×D73C2411yescharacteristic
601C2×C4×D73C2411yescharacteristic
602Dic292—41no—
603#11924018—22no—
604#11924017—22no—
605#11924017—41no—
606#11924017—41no—
607#11924017—41no—
608#11924016—41no—
609#11924016—41no—
610#11924016—41no—
611#11924015—22no—
612#11924015—22no—
613D584—22no—
614D584—22no—
615D584—41no—
616D584—41no—
617#11924013—22no—
618#11924013—41no—
619#11924013—41no—
620#11924013—41no—
621#11924013—41no—
622#11924013—41no—
623#11924011—41no—
624C2×#10596831—41no—
625C2×#10596831—41no—
626C2×#10596831C2411yescharacteristic
627C2×#10596831C2411yescharacteristic
628C2×#10596831C2411yescharacteristic
629C2×#10596831C2411yescharacteristic
630C8×D73—41no—
631C8×D73—41no—
632C8×D73—41no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73—21no—
638C4⋊Dic73C2×D411yescharacteristic
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007C2×D411yescharacteristic
647#11924007C2×D411yescharacteristic
648#11924007C2×D411yescharacteristic
649#11924007C2×D411yescharacteristic
650C22⋊Dic73—21no—
651C22⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73C2×D411yescharacteristic
659C22⋊Dic73C2×D411yescharacteristic
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005C2×D411yescharacteristic
680#11924005C2×D411yescharacteristic
681#11924005C2×D411yescharacteristic
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685C4×Dic73—21no—
686C4×Dic73—21no—
687C4×Dic73—21no—
688C4×Dic73C2411yescharacteristic
689#41×C73—22no—
690#41×C73—22no—
691#41×C73—41no—
692#41×C73—41no—
693C2×Q8×C73C2411yescharacteristic
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—21no—
701C2×D4×C73—21no—
702C2×D4×C73C2×D411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73C2411yescharacteristic
711C22×C4×C73C2411yescharacteristic
712SD16×C73—22no—
713D8×C73—41no—
714D8×C73—41no—
715M16×C73—41no—
716C2×C8×C73—41no—
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73C2×D411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C4⋊C4×C73C2411yescharacteristic
728C4⋊C4×C73C2411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
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×C73C2×D411yescharacteristic
737C22⋊C4×C73C2×D411yescharacteristic
738C42×C73—21no—
739C42×C73—21no—
740C42×C73C2411yescharacteristic
741C23×C73—21no—
742C23×C73—21no—
743C23×C73—21no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—22no—
748C22×D73—21no—
749C22×D73—21no—
750C22×D73—21no—
751C22×D73—41no—
752C22×D73—41no—
753C22×D73—42no—
754C22×D73—42no—
755C22×D73—42no—
756C22×D73—42no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—81no—
760C22×D73—81no—
761C22×D73—81no—
762C22×D73—81no—
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×D73C22×D411yescharacteristic
772C22×D73C22×D411yescharacteristic
773C22×D73C22×D411yescharacteristic
774Q8×C73—21no—
775Q8×C73H(5,𝔽2)12yes—
776D4×C73—21no—
777D4×C73—21no—
778D4×C73—21no—
779D4×C73—21no—
780D4×C73—21no—
781D4×C73—21no—
782D4×C73—41no—
783D4×C73—42no—
784D4×C73—42no—
785D4×C73—81no—
786D4×C73—81no—
787D4×C73—81no—
788D4×C73—81no—
789D4×C73—81no—
790D4×C73—81no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—21no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—42no—
801C2×C4×C73—42no—
802C2×C4×C73—81no—
803C2×C4×C73—81no—
804C2×C4×C73C22×D411yescharacteristic
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C2511yescharacteristic
809C22⋊D73—22no—
810C22⋊D73—41no—
811C22⋊D73—41no—
812C22⋊D73—41no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—81no—
820C22⋊D73—81no—
821C22⋊D73—81no—
822C22⋊D73—81no—
823C22⋊D73—81no—
824C22⋊D73—81no—
825C22⋊D73—81no—
826C22⋊D73—81no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C2×Dic73—21no—
831C2×Dic73—21no—
832C2×Dic73—21no—
833C2×Dic73—21no—
834C2×Dic73—41no—
835C2×Dic73—42no—
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—21no—
849D292—21no—
850D292—41no—
851D292—42no—
852D292—42no—
853D292—42no—
854D292—42no—
855D292—81no—
856D292—81no—
857D292—81no—
858D292—81no—
859D292—81no—
860D292H(5,𝔽2)12yes—
861C4×D73—24no—
862C4×D73—21no—
863C4×D73—21no—
864C4×D73—21no—
865C4×D73—21no—
866C4×D73—21no—
867C4×D73—21no—
868C4×D73—41no—
869C4×D73—41no—
870C4×D73—42no—
871C4×D73—42no—
872C4×D73—42no—
873C4×D73—42no—
874C4×D73—81no—
875C4×D73—81no—
876C4×D73—81no—
877C4×D73—81no—
878C4×D73—81no—
879C4×D73—81no—
880C4×D73—81no—
881Dic146—21no—
882Dic146—21no—
883Dic146—21no—
884Dic146—21no—
885Dic146—41no—
886Dic146—42no—
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—21no—
902C22×C73—41no—
903C22×C73—41no—
904C22×C73—41no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73C23×D411yescharacteristic
912C2×D73—21no—
913C2×D73—21no—
914C2×D73—21no—
915C2×D73—21no—
916C2×D73—21no—
917C2×D73—22no—
918C2×D73—21no—
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—41no—
922C2×D73—41no—
923C2×D73—41no—
924C2×D73—41no—
925C2×D73—41no—
926C2×D73—41no—
927C2×D73—41no—
928C2×D73—41no—
929C2×D73—41no—
930C2×D73—41no—
931C2×D73—41no—
932C2×D73—82no—
933C2×D73—84no—
934C2×D73—162no—
935C2×D73—162no—
936C2×D73—162no—
937C2×D73—162no—
938C2×D73—162no—
939C2×D73#57612yes—
940C4×C73—21no—
941C4×C73—22no—
942C4×C73—21no—
943C4×C73—21no—
944C4×C73—21no—
945C4×C73—41no—
946C4×C73—41no—
947C4×C73—41no—
948C4×C73—41no—
949C4×C73C2×H(5,𝔽2)11yescharacteristic
950C4×C73C2×H(5,𝔽2)11yescharacteristic
951Dic73—21no—
952Dic73—21no—
953Dic73—21no—
954Dic73—21no—
955Dic73—21no—
956Dic73—41no—
957Dic73—41no—
958Dic73—41no—
959Dic73—41no—
960#61639—731nomaximal, Sylow
961C2×C73—41no—
962C2×C73—41no—
963C2×C73—81no—
964C2×C73—81no—
965C2×C73—81no—
966C2×C73#348411yescharacteristic
967C2×C73C2×#57611yescharacteristic
968C2×C73#358411yescharacteristic
969D73—22no—
970D73—41no—
971D73—41no—
972D73—42no—
973D73—81no—
974D73—81no—
975D73—81no—
976#3542—731no—
977#3488—731no—
978#3319—731no—
979#3310—731no—
980#3309D7311yescharacteristic, complemented
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×#449—731no—
1006#2977—731no—
1007C73#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—731no—
1009C22×#41—731no—
1010C2×AGL(1,ℤ/8)—731no—
1011C2×AGL(1,ℤ/8)—731no—
1012C2×#135—731no—
1013C2×#135—731no—
1014C2×#135—731no—
1015C22×SD16—731no—
1016C22×D8—731no—
1017C22×D8—731no—
1018#562—1461no—
1019#560—1461no—
1020#555—731no—
1021#553C2×D7311yescharacteristic, complemented
1022#552—731no—
1023#551—1461no—
1024#550—731no—
1025#550—731no—
1026#550C2×D7311yescharacteristic, complemented
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—731no—
1059C2×#121—1461no—
1060#520—731no—
1061#496—731no—
1062#496—731no—
1063#495—731no—
1064#493—731no—
1065#490C2×D7311yescharacteristic, complemented
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#482C2×D7311yescharacteristic, complemented
1075#481—731no—
1076#480—731no—
1077#480—731no—
1078#480—731no—
1079#480—731no—
1080#480C2×D7311yescharacteristic, complemented
1081#479C2×D7311yescharacteristic, complemented
1082#478—731no—
1083#477—731no—
1084#474—731no—
1085#469C2×D7311yescharacteristic, complemented
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#466C2×D7311yescharacteristic, complemented
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#459C2×D7311yescharacteristic, complemented
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#449—731no—
1131#449—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
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#440C2×D7311yescharacteristic, complemented
1153C4×Q16—731no—
1154C4×SD16—731no—
1155C4×D8—731no—
1156C4×D8—731no—
1157#435—731no—
1158#435—731no—
1159#435—731no—
1160#435C2×D7311yescharacteristic, complemented
1161C8×D4—731no—
1162C8×D4—731no—
1163C8×D4—731no—
1164C8×D4—731no—
1165#433—731no—
1166#433—731no—
1167#418—731no—
1168#417C2×D7311yescharacteristic, complemented
1169#416—731no—
1170#416—731no—
1171#416C2×D7311yescharacteristic, complemented
1172C2×#103—731no—
1173C2×#102—731no—
1174C2×#102—731no—
1175#408—731no—
1176#408—731no—
1177C2×C22⋊C8—731no—
1178C2×C22⋊C8—731no—
1179H(5,𝔽2)—2922no—
1180H(5,𝔽2)—2922no—
1181C2×#41—2922no—
1182C2×#41—2922no—
1183C2×#41—731no—
1184C2×#41—731no—
1185C2×#41—731no—
1186C2×#41—731no—
1187C2×#41—731no—
1188C2×#41—731no—
1189C2×#41—731no—
1190C2×#41—1461no—
1191C2×#41—1461no—
1192C2×#41—1461no—
1193C2×#41—1461no—
1194C2×#41C22×D7311yescharacteristic
1195C2×#41C22×D7311yescharacteristic
1196C22×Q8—731no—
1197C22×D4—731no—
1198C22×D4—731no—
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×D4—1461no—
1211C22×D4—1461no—
1212C23×C4—731no—
1213C23×C4—1461no—
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—2922no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16—731no—
1225C2×SD16—731no—
1226C2×SD16—731no—
1227C2×SD16—731no—
1228C2×SD16—731no—
1229C2×SD16—731no—
1230C2×SD16—731no—
1231C2×SD16C22×D7311yescharacteristic
1232C2×D8—2922no—
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×D8—731no—
1243C2×D8—731no—
1244C2×D8C22×D7311yescharacteristic
1245C2×D8C22×D7311yescharacteristic
1246C2×M16—731no—
1247C2×M16C22×D7311yescharacteristic
1248C22×C8—731no—
1249C22×C8—731no—
1250C22×C8—731no—
1251C22×C8—731no—
1252C22×C8—731no—
1253C22×C8C22×D7311yescharacteristic
1254C4⋊Q8—731no—
1255#127—21no—
1256#127—731no—
1257#127—731no—
1258#127—1461no—
1259#127—1461no—
1260#127—1461no—
1261#127C22×D7311yescharacteristic
1262#126—21no—
1263#126—1461no—
1264#126—1461no—
1265#125—1461no—
1266#125C22×D7311yescharacteristic
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—21no—
1277#123—731no—
1278#123—731no—
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—21no—
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—731no—
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×Q8C22×D7311yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
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×D4C22×D7311yescharacteristic
1389C4×D4C22×D7311yescharacteristic
1390#117—731no—
1391#117—731no—
1392#117—1461no—
1393#117—1461no—
1394#117—1461no—
1395#117C22×D7311yescharacteristic
1396C2×C4⋊C4—731no—
1397C2×C4⋊C4—731no—
1398C2×C4⋊C4—1461no—
1399C2×C4⋊C4C22×D7311yescharacteristic
1400C2×C22⋊C4—1461no—
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#107C22×D7311yescharacteristic
1411#107C22×D7311yescharacteristic
1412#106—731no—
1413#106C22×D7311yescharacteristic
1414C4⋊C8—731no—
1415C4⋊C8—731no—
1416C4⋊C8—731no—
1417C4⋊C8C22×D7311yescharacteristic
1418#103—731no—
1419#103—731no—
1420#103—731no—
1421#103—731no—
1422#103—731no—
1423#103—731no—
1424#103—731no—
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#102C22×D7311yescharacteristic
1444#102C22×D7311yescharacteristic
1445#102C22×D7311yescharacteristic
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⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8C22×D7311yescharacteristic
1461C22⋊C8C22×D7311yescharacteristic
1462#97—731no—
1463#97C22×D7311yescharacteristic
1464C4×C8—731no—
1465C4×C8—731no—
1466C24—731no—
1467C24—1461no—
1468C24—1461no—
1469C24—1461no—
1470C24—1461no—
1471C24—1461no—
1472C24—1461no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—2921no—
1478#41—2921no—
1479#41—2921no—
1480#41—2921no—
1481#41—2921no—
1482#41—2921no—
1483#41—2921no—
1484#41—2924no—
1485#41—2924no—
1486#41—2921no—
1487#41—2921no—
1488#41—2924no—
1489#41—2921no—
1490#41—5842no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495C2×Q8—2921no—
1496C2×Q8—731no—
1497C2×Q8—731no—
1498C2×Q8—731no—
1499C2×Q8—1461no—
1500C2×Q8—1461no—
1501C2×Q8—1462no—
1502C2×Q8C23×D7311yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—2921no—
1512C2×D4—2924no—
1513C2×D4—2924no—
1514C2×D4—2924no—
1515C2×D4—2921no—
1516C2×D4—2921no—
1517C2×D4—2921no—
1518C2×D4—2921no—
1519C2×D4—2921no—
1520C2×D4—2921no—
1521C2×D4—2921no—
1522C2×D4—2921no—
1523C2×D4—2924no—
1524C2×D4—5842no—
1525C2×D4—5842no—
1526C2×D4—5842no—
1527C2×D4—5842no—
1528C2×D4—5842no—
1529C2×D4—731no—
1530C2×D4—731no—
1531C2×D4—731no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1462no—
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—1462no—
1555C2×D4—1462no—
1556C2×D4—1461no—
1557C2×D4—1461no—
1558C2×D4—1461no—
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×D4D4×D7311yescharacteristic
1570C2×D4C23×D7311yescharacteristic
1571C2×D4C23×D7311yescharacteristic
1572C2×D4C23×D7311yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—2921no—
1578C22×C4—2921no—
1579C22×C4—2924no—
1580C22×C4—731no—
1581C22×C4—731no—
1582C22×C4—731no—
1583C22×C4—731no—
1584C22×C4—731no—
1585C22×C4—731no—
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×C4—1461no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4C23×D7311yescharacteristic
1600C22×C4C23×D7311yescharacteristic
1601Q16—2921no—
1602Q16—1462no—
1603SD16—22no—
1604SD16—2921no—
1605SD16—2921no—
1606SD16—2921no—
1607SD16—2921no—
1608SD16—2921no—
1609SD16—2921no—
1610SD16—1462no—
1611SD16—1462no—
1612SD16—1462no—
1613D8—41no—
1614D8—41no—
1615D8—2921no—
1616D8—2921no—
1617D8—2921no—
1618D8—2921no—
1619D8—2921no—
1620D8—2921no—
1621D8—2921no—
1622D8—1462no—
1623D8—1462no—
1624D8—1462no—
1625M16—41no—
1626M16—2921no—
1627C2×C8—41no—
1628C2×C8—2921no—
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—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×D7311yescharacteristic
1665C4⋊C4C23×D7311yescharacteristic
1666C4⋊C4C23×D7311yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
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⋊C4D4×D7311yescharacteristic
1709C22⋊C4D4×D7311yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—731no—
1713C42—1461no—
1714C42—1461no—
1715C42—1461no—
1716C42C23×D7311yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—2922no—
1721C23—2921no—
1722C23—2921no—
1723C23—2922no—
1724C23—2922no—
1725C23—2922no—
1726C23—2922no—
1727C23—2922no—
1728C23—5841no—
1729C23—5841no—
1730C23—5841no—
1731C23—5841no—
1732C23—5841no—
1733C23—5841no—
1734C23—5841no—
1735C23—5841no—
1736C23—5841no—
1737C23—5841no—
1738C23—5841no—
1739C23—5841no—
1740C23—731no—
1741C23—731no—
1742C23—731no—
1743C23—1462no—
1744C23—1461no—
1745C23—1461no—
1746C23—1461no—
1747C23—1461no—
1748C23C2×D4×D7311yescharacteristic
1749C23C2×D4×D7311yescharacteristic
1750Q8—21no—
1751Q8—2922no—
1752Q8—2921no—
1753Q8—5841no—
1754Q8—1461no—
1755Q8—1461no—
1756Q8—1461no—
1757Q8—1461no—
1758Q8#1455663712yes—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—41no—
1766D4—42no—
1767D4—42no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—2922no—
1775D4—2922no—
1776D4—2921no—
1777D4—2922no—
1778D4—2922no—
1779D4—2922no—
1780D4—2922no—
1781D4—2922no—
1782D4—2921no—
1783D4—2921no—
1784D4—2921no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—5841no—
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—732no—
1805D4—1462no—
1806D4—1464no—
1807D4—1462no—
1808D4—1461no—
1809D4—1461no—
1810D4—1461no—
1811D4—1461no—
1812D4—1461no—
1813D4—1461no—
1814D4—1461no—
1815C2×C4—21no—
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—42no—
1825C2×C4—42no—
1826C2×C4—81no—
1827C2×C4—81no—
1828C2×C4—2922no—
1829C2×C4—2922no—
1830C2×C4—2922no—
1831C2×C4—2921no—
1832C2×C4—2921no—
1833C2×C4—2922no—
1834C2×C4—2922no—
1835C2×C4—2921no—
1836C2×C4—5841no—
1837C2×C4—5841no—
1838C2×C4—5841no—
1839C2×C4—5841no—
1840C2×C4—5841no—
1841C2×C4—5841no—
1842C2×C4—5841no—
1843C2×C4—731no—
1844C2×C4—731no—
1845C2×C4—731no—
1846C2×C4—731no—
1847C2×C4—731no—
1848C2×C4—1464no—
1849C2×C4—1461no—
1850C2×C4—1461no—
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×C4C2×D4×D7311yescharacteristic
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—21no—
1876C22—21no—
1877C22—21no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—2921no—
1888C22—2921no—
1889C22—2921no—
1890C22—2921no—
1891C22—2921no—
1892C22—2921no—
1893C22—2921no—
1894C22—2921no—
1895C22—2921no—
1896C22—2921no—
1897C22—2921no—
1898C22—5842no—
1899C22—5844no—
1900C22—732no—
1901C22—11682no—
1902C22—11682no—
1903C22—11682no—
1904C22—11682no—
1905C22—11682no—
1906C22—1462no—
1907C22—1461no—
1908C22—1461no—
1909C22—1461no—
1910C22—1461no—
1911C22—1461no—
1912C22—1461no—
1913C22—1461no—
1914C22—1461no—
1915C22C22×D4×D7311yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—22no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—2921no—
1926C4—2921no—
1927C4—2921no—
1928C4—2921no—
1929C4—1461no—
1930C4—1461no—
1931C4—1461no—
1932C4—1461no—
1933C4—1461no—
1934C4H(5,𝔽2)×D7311yescharacteristic
1935C4C2×#1455663711yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—2922no—
1942C2—2921no—
1943C2—2921no—
1944C2—5841no—
1945C2—5841no—
1946C2—5841no—
1947C2—1462no—
1948C2#2262356111yescharacteristic
1949C2#576×D7311yescharacteristic
1950C2#2262470411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3309C2
socleC22×C73C23×D4
hypercenter#3309D73
hypocenterC73#61639
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3309

Complements

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

NH ≅ G/Ntype
1. #22624250C2semidirect
2. #22623599C2semidirect
3. #22622085C2semidirect
4. #22621951C2semidirect
5. #22621923C2semidirect
6. #22621877C2semidirect
7. #22621815C2semidirect
8. #22621775C2semidirect
9. #22621742C2semidirect
10. #22621687C2semidirect
11. #22621641C2semidirect
12. #22621619C2semidirect
13. #22621603C2semidirect
14. #22621476C2semidirect
15. #22621464C2semidirect
16. #22621428C2semidirect
17. #22621418C2semidirect
18. #22621022C2semidirect
19. #22620982C2semidirect
20. #22620831C2semidirect
21. #22620778C2semidirect
22. #22620700C2semidirect
23. #22620678C2semidirect
24. #22620191C2semidirect
25. #22620137C2semidirect
26. #22619237C2semidirect
27. #22619196C2semidirect
28. #22619151C2semidirect
29. #449×D73C2semidirect
30. #22618982C2semidirect
31. C73×#3309C2semidirect
32. C2×#14556637C22semidirect
33. C2×#41×D73C22semidirect
34. C2×#14556619C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556613C22semidirect
37. C2×#14556611C22semidirect
38. C2×#14556611C22semidirect
39. C2×SD16×D73C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
44. #17989300C22semidirect
45. #17989275C22semidirect
47. #17989258C22semidirect
48. #17989256C22semidirect
50. #17989244C22semidirect
51. #17989238C22semidirect
53. #17989234C22semidirect
54. #17989234C22semidirect
55. #17989234C22semidirect
58. #17989233C22semidirect
59. D4×D292C22semidirect
63. #17989221C22semidirect
64. #17989202C22semidirect
65. #17989193C22semidirect
68. #17989168C22semidirect
70. #17989166C22semidirect
72. #17989153C22semidirect
74. #17989150C22semidirect
76. #17989099C22semidirect
80. #121×D73C22semidirect
81. #121×D73C22semidirect
82. #17989069C22semidirect
83. #17988976C22semidirect
84. #17988975C22semidirect
85. #17988970C22semidirect
86. #17988963C22semidirect
87. #17988945C22semidirect
88. #17988944C22semidirect
89. #17988932C22semidirect
90. #17988931C22semidirect
91. #17988924C22semidirect
92. #17988922C22semidirect
93. #17988911C22semidirect
94. #17988909C22semidirect
95. #17988907C22semidirect
96. #17988902C22semidirect
97. #17988902C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988884C22semidirect
101. #17988880C22semidirect
102. #17988866C22semidirect
103. #17988834C22semidirect
104. #17988833C22semidirect
105. #17988832C22semidirect
106. #17988829C22semidirect
107. #17988824C22semidirect
108. #17988823C22semidirect
109. #17988822C22semidirect
110. #17988822C22semidirect
111. #17988821C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988817C22semidirect
115. #17988815C22semidirect
116. #17988814C22semidirect
117. #17988810C22semidirect
118. #17988807C22semidirect
119. #17988802C22semidirect
120. #17988801C22semidirect
121. #17988801C22semidirect
122. #17988801C22semidirect
123. #17988787C22semidirect
124. #17988784C22semidirect
125. #17988783C22semidirect
126. #17988781C22semidirect
127. #17988781C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988750C22semidirect
132. #17988744C22semidirect
133. #17988739C22semidirect
134. #17988739C22semidirect
135. #17988739C22semidirect
136. #17988739C22semidirect
137. #17988735C22semidirect
138. #17988735C22semidirect
139. #17988735C22semidirect
140. #17988734C22semidirect
141. #17988734C22semidirect
142. #17988733C22semidirect
143. #17988733C22semidirect
144. #17988732C22semidirect
145. #17988732C22semidirect
147. #17988730C22semidirect
148. #17988730C22semidirect
149. #17988730C22semidirect
150. #17988729C22semidirect
151. #17988727C22semidirect
152. #17988723C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988722C22semidirect
156. #17988722C22semidirect
157. #17988722C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988719C22semidirect
162. #17988698C22semidirect
163. #17988690C22semidirect
164. #17988689C22semidirect
165. C4×#11924018C22semidirect
166. #17988672C22semidirect
167. #17988669C22semidirect
168. C4×#11924013C22semidirect
169. #17988660C22semidirect
170. #17988656C22semidirect
171. #17988655C22semidirect
172. D4×#10596831C22semidirect
173. #17988652C22semidirect
174. C8×C22⋊D73C22semidirect
175. #17988650C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988590C22semidirect
179. #17988582C22semidirect
180. #17988581C22semidirect
181. #103×D73C22semidirect
182. C2×#14556511C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. #553×C73C22semidirect
189. #550×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #480×C73C22semidirect
193. #479×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #449×C73C22semidirect
198. #449×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. #416×C73C22semidirect
980. #3309D73semidirect
1007. C73#61639semidirect
1021. #553C2×D73semidirect
1026. #550C2×D73semidirect
1065. #490C2×D73semidirect
1074. #482C2×D73semidirect
1080. #480C2×D73semidirect
1081. #479C2×D73semidirect
1085. #469C2×D73semidirect
1097. #466C2×D73semidirect
1112. #459C2×D73semidirect
1136. #449C2×D73semidirect
1137. #449C2×D73semidirect
1152. #440C2×D73semidirect
1160. #435C2×D73semidirect
1168. #417C2×D73semidirect
1171. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242502
#226235992
#226220852
#226219512
#226219232
#226218772
#226218152
#226217752
#226217422
#226216872
#226216412
#226216192
#226216032
#226214762
#226214642
#226214282
#226214182
#226210222
#226209822
#226208312
#226207782
#226207002
#226206782
#226201912
#226201372
#226192372
#226191962
#226191512
#449×D732
#226189822
C73×#33092
#6163973