Finite Group Databasebeta

← #33971780

Subgroups — #33971780

Order 18688.

2224 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624167C211yesmaximal, characteristic, complemented
2#22623591C211yesmaximal, characteristic, complemented
3#22622129C211yesmaximal, characteristic, complemented
4#22622128C211yesmaximal, characteristic, complemented
5#22622068C211yesmaximal, characteristic, complemented
6#22621936C211yesmaximal, characteristic, complemented
7#22621935C211yesmaximal, characteristic, complemented
8#22621831C211yesmaximal, characteristic, complemented
9#22621827C211yesmaximal, characteristic, complemented
10D4×#11924013C211yesmaximal, characteristic, complemented
11#22621601C211yesmaximal, characteristic, complemented
12#22621554C211yesmaximal, characteristic, complemented
13#22621548C211yesmaximal, characteristic, complemented
14#22621431C211yesmaximal, characteristic, complemented
15#22621423C211yesmaximal, characteristic, complemented
16#22621413C211yesmaximal, characteristic, complemented
17#22621404C211yesmaximal, characteristic, complemented
18#22620982C211yesmaximal, characteristic, complemented
19#22620980C211yesmaximal, characteristic, complemented
20#22620781C211yesmaximal, characteristic, complemented
21#22620778C211yesmaximal, characteristic, complemented
22#22620730C211yesmaximal, characteristic, complemented
23#22620678C211yesmaximal, characteristic, complemented
24#22620135C211yesmaximal, characteristic, complemented
25#22620134C211yesmaximal, characteristic, complemented
26#22619200C211yesmaximal, characteristic, complemented
27#22619194C211yesmaximal, characteristic, complemented
28#22619178C211yesmaximal, characteristic, complemented
29C2×#17988733C211yesmaximal, characteristic, complemented
30#22618980C211yesmaximal, characteristic, complemented
31C73×#3318C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C22×#11924027C2211yescharacteristic, complemented
34C2×#14556619C2211yescharacteristic, complemented
35C2×#14556615C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C22×#11924017C2211yescharacteristic, complemented
39C22×#11924013C2211yescharacteristic, complemented
40C22×#11924013C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989328—21no—
43#17989327—21no—
44#17989290C2211yescharacteristic, complemented
45#17989285C2211yescharacteristic, complemented
46#17989281C2211yescharacteristic, complemented
47#17989257C2211yescharacteristic, complemented
48#17989255C2211yescharacteristic, complemented
49#17989246C2211yescharacteristic, complemented
50#17989243C2211yescharacteristic, complemented
51#17989232C2211yescharacteristic, complemented
52#17989231C2211yescharacteristic, complemented
53#17989226—21no—
54#17989224—21no—
55D4×D292—21no—
56D4×D292C2211yescharacteristic, complemented
57D4×D292C2211yescharacteristic, complemented
58#17989221—21no—
59#17989221C2211yescharacteristic, complemented
60#17989221C2211yescharacteristic, complemented
61D4×C22⋊D73—21no—
62D4×C22⋊D73C2211yescharacteristic, complemented
63#17989219—21no—
64#17989193C2211yescharacteristic, complemented
65#17989188C2211yescharacteristic, complemented
66#17989176—21no—
67#17989170—21no—
68#17989166C2211yescharacteristic, complemented
69#17989164—21no—
70#17989156C2211yescharacteristic, complemented
71#17989153C2211yescharacteristic, complemented
72#17989152—21no—
73#17989150C2211yescharacteristic, complemented
74#17989148—21no—
75#17989145—21no—
76#17989096C2211yescharacteristic
77#17989093—21no—
78C2×#14556566C2211yescharacteristic, complemented
79C2×#14556563—21no—
80#121×D73C2211yescharacteristic, complemented
81#121×D73C2211yescharacteristic, complemented
82#17989066C2211yescharacteristic, complemented
83#17988976C2211yescharacteristic, complemented
84#17988975C2211yescharacteristic, complemented
85#17988963C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988940C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988928C2211yescharacteristic, complemented
92#17988909C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988907C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988885C2211yescharacteristic, complemented
103#17988841C2211yescharacteristic, complemented
104#17988841C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988839C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988823C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988821C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988821C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988814C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988802C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988788C2211yescharacteristic, complemented
122#17988786C2211yescharacteristic, complemented
123#17988782C2211yescharacteristic, complemented
124#17988781C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988740C2211yescharacteristic, complemented
129#17988739C2211yescharacteristic, complemented
130#17988734C2211yescharacteristic, complemented
131#17988733C2211yescharacteristic, complemented
132#17988733C2211yescharacteristic, complemented
133#17988733C2211yescharacteristic, complemented
134#17988733C2211yescharacteristic, complemented
135#17988733C2211yescharacteristic, complemented
136#17988733C2211yescharacteristic, complemented
137#17988733C2211yescharacteristic, complemented
138#17988733C2211yescharacteristic, complemented
139#17988733C2211yescharacteristic, complemented
140#17988733C2211yescharacteristic, complemented
141#17988733C2211yescharacteristic, complemented
142#17988733C2211yescharacteristic, complemented
143#17988730C2211yescharacteristic, complemented
144#17988729C2211yescharacteristic, complemented
145#17988729C2211yescharacteristic, complemented
146#17988728C2211yescharacteristic, complemented
147#17988725C2211yescharacteristic, complemented
148#17988723C2211yescharacteristic, complemented
149#17988722C2211yescharacteristic, complemented
150#17988722C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic, complemented
152#17988722C2211yescharacteristic, complemented
153#17988722C2211yescharacteristic, complemented
154#17988722C2211yescharacteristic, complemented
155#17988721C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988719C2211yescharacteristic, complemented
161#17988719C2211yescharacteristic, complemented
162#17988696C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165#17988674C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic, complemented
168#17988667C2211yescharacteristic, complemented
169#17988664C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic, complemented
171#17988660C2211yescharacteristic, complemented
172#17988658C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174D4×#10596831C2211yescharacteristic, complemented
175#17988650C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988585C2211yescharacteristic, complemented
181#17988581C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556514C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187C2×#14556503C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic, complemented
189D42×C73C2211yescharacteristic, complemented
190#490×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#447×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924028C2311yescharacteristic
206C2×#11924028C2311yescharacteristic
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×#11924027—21no—
210C2×#11924027—42no—
211C2×#11924027—42no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C22×Dic146C2311yescharacteristic
218C22×D292—21no—
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C22×C22⋊D73—21no—
225C22×C22⋊D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73—21no—
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C23×Dic73—21no—
237C22×C4×D73C2311yescharacteristic
238#14556619—42no—
239#14556615—42no—
240#14556615—42no—
241#14556615—42no—
242C2×#11924017—42no—
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924017C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924016C2311yescharacteristic
251C2×D584C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×#11924013—42no—
255C2×#11924013—42no—
256C2×#11924013C2311yescharacteristic
257C2×#11924013C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264C2×#11924013C2311yescharacteristic
265C2×#11924013C2311yescharacteristic
266D8×D73—42no—
267C2×#11924011C2311yescharacteristic
268C2×#11924011C2311yescharacteristic
269C2×#11924011C2311yescharacteristic
270C22×#10596831C2311yescharacteristic
271C22×#10596831C2311yescharacteristic
272C2×C8×D73C2311yescharacteristic
273#14556588—21no—
274#14556588C2311yescharacteristic
275#14556587—21no—
276#14556587—21no—
277#14556587—21no—
278#14556587C2311yescharacteristic
279#14556587C2311yescharacteristic
280#14556586—21no—
281#14556586—21no—
282#14556585—21no—
283#14556582C2311yescharacteristic
284#14556579—21no—
285#14556579C2311yescharacteristic
286#14556578C2311yescharacteristic
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556576—21no—
291#14556576—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576D411yescharacteristic
295#14556575—21no—
296#14556574—21no—
297#14556573—21no—
298#14556573—21no—
299#14556573D411yescharacteristic
300#14556572—21no—
301#14556571C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569D411yescharacteristic
305#14556568—21no—
306#14556568—21no—
307#14556568D411yescharacteristic
308#14556566—21no—
309#14556566—21no—
310#14556566—21no—
311#14556566—21no—
312#14556566—21no—
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556566C2311yescharacteristic
317#14556566C2311yescharacteristic
318#14556566C2311yescharacteristic
319#14556566C2311yescharacteristic
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565C2311yescharacteristic
327#14556565C2311yescharacteristic
328#14556565C2311yescharacteristic
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556563D411yescharacteristic
351#14556562—21no—
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556562C2311yescharacteristic
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561D411yescharacteristic
366#14556560—21no—
367#14556560—21no—
368#14556559—21no—
369#14556559—21no—
370#14556559—21no—
371#14556559—21no—
372#14556559—21no—
373#14556559—21no—
374#14556559D411yescharacteristic
375C4×Dic146C2311yescharacteristic
376#14556556C2311yescharacteristic
377C4×D292—21no—
378C4×D292C2311yescharacteristic
379C4×D292C2311yescharacteristic
380D4×Dic73—21no—
381D4×Dic73—21no—
382D4×Dic73C2311yescharacteristic
383#14556553—21no—
384#14556553C2311yescharacteristic
385#14556553C2311yescharacteristic
386C4×C22⋊D73—21no—
387C4×C22⋊D73—21no—
388C4×C22⋊D73C2311yescharacteristic
389C4×C22⋊D73C2311yescharacteristic
390#14556551—21no—
391#14556551—21no—
392#14556551—21no—
393#14556549C2311yescharacteristic
394#14556548C2311yescharacteristic
395#14556547—21no—
396C2×#11924007—21no—
397C4⋊C4×D73C2311yescharacteristic
398C4⋊C4×D73C2311yescharacteristic
399C2×C22⋊Dic73—21no—
400C2×#11924005—21no—
401C2×#11924005—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556525C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556524C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
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
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×M16×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455#127×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73C2311yescharacteristic
458#123×C73—21no—
459#121×C73—21no—
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463#121×C73C2311yescharacteristic
464#121×C73C2311yescharacteristic
465#120×C73—21no—
466#120×C73—21no—
467C4×D4×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#106×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×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#11924028—22no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924027—22no—
502#11924027—22no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—44no—
513#11924027—44no—
514C2×Dic146—22no—
515C2×Dic146—21no—
516C2×Dic146—41no—
517C2×Dic146C2×D411yescharacteristic
518C2×Dic146C2411yescharacteristic
519C2×Dic146C2411yescharacteristic
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
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—41no—
533C2×D292—41no—
534C2×D292—41no—
535C2×D292—41no—
536C2×D292—82no—
537C2×D292—82no—
538C2×D292C2×D411yescharacteristic
539C2×D292C2×D411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×D292C2411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×D292C2411yescharacteristic
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⋊D73—21no—
560C2×C22⋊D73—21no—
561C2×C22⋊D73—21no—
562C2×C22⋊D73—21no—
563C2×C22⋊D73—21no—
564C2×C22⋊D73—44no—
565C2×C22⋊D73—44no—
566C2×C22⋊D73—44no—
567C2×C22⋊D73—82no—
568C2×C22⋊D73C2×D411yescharacteristic
569C2×C22⋊D73C2×D411yescharacteristic
570C2×C22⋊D73C2×D411yescharacteristic
571C2×C22⋊D73C2×D411yescharacteristic
572D4×D73—22no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—41no—
576D4×D73—41no—
577D4×D73—41no—
578D4×D73—41no—
579D4×D73—41no—
580D4×D73—44no—
581D4×D73—82no—
582D4×D73—82no—
583D4×D73—82no—
584D4×D73—82no—
585D4×D73—82no—
586C22×Dic73—21no—
587C22×Dic73—21no—
588C22×Dic73—21no—
589C22×Dic73—21no—
590C22×Dic73—21no—
591C22×Dic73—21no—
592C22×Dic73—21no—
593C22×Dic73—44no—
594C22×Dic73C2×D411yescharacteristic
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—21no—
599C2×C4×D73—21no—
600C2×C4×D73—21no—
601C2×C4×D73—41no—
602C2×C4×D73—41no—
603C2×C4×D73C2×D411yescharacteristic
604C2×C4×D73C2×D411yescharacteristic
605C2×C4×D73C2411yescharacteristic
606C2×C4×D73C2411yescharacteristic
607C2×C4×D73C2411yescharacteristic
608#11924017—22no—
609#11924017—22no—
610#11924017—22no—
611#11924017—41no—
612#11924017—41no—
613#11924017—41no—
614#11924016—22no—
615#11924016—41no—
616D584—41no—
617D584—41no—
618D584—41no—
619#11924013—22no—
620#11924013—22no—
621#11924013—22no—
622#11924013—41no—
623#11924013—41no—
624#11924013—41no—
625#11924013—41no—
626#11924013—41no—
627#11924013—41no—
628#11924013—41no—
629#11924011—41no—
630#11924011—41no—
631#11924011—41no—
632C2×#10596831—41no—
633C2×#10596831—41no—
634C2×#10596831C2411yescharacteristic
635C2×#10596831C2411yescharacteristic
636C2×#10596831C2411yescharacteristic
637C2×#10596831C2411yescharacteristic
638C8×D73—41no—
639C4⋊Dic73—21no—
640C4⋊Dic73—21no—
641C4⋊Dic73C2×D411yescharacteristic
642C4⋊Dic73C2411yescharacteristic
643C4⋊Dic73C2411yescharacteristic
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007C2×D411yescharacteristic
651#11924007C2×D411yescharacteristic
652#11924007C2×D411yescharacteristic
653#11924007C2×D411yescharacteristic
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657C22⋊Dic73—21no—
658C22⋊Dic73—21no—
659C22⋊Dic73—21no—
660C22⋊Dic73—21no—
661C22⋊Dic73C2×D411yescharacteristic
662C22⋊Dic73C2×D411yescharacteristic
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#11924005—21no—
680#11924005—21no—
681#11924005C2×D411yescharacteristic
682#11924005C2×D411yescharacteristic
683#11924005C2×D411yescharacteristic
684#11924005C2×D411yescharacteristic
685#11924005C2×D411yescharacteristic
686#11924005C2×D411yescharacteristic
687C4×Dic73—21no—
688C4×Dic73—21no—
689C4×Dic73—21no—
690C4×Dic73C2411yescharacteristic
691C24×C73—21no—
692C24×C73—21no—
693C2×D4×C73—22no—
694C2×D4×C73—22no—
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×C73—21no—
703C2×D4×C73—41no—
704C2×D4×C73—41no—
705C2×D4×C73—82no—
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C2×D4×C73C2411yescharacteristic
710C2×D4×C73C2411yescharacteristic
711C22×C4×C73—21no—
712C22×C4×C73—21no—
713C22×C4×C73—21no—
714C22×C4×C73C2411yescharacteristic
715C22×C4×C73C2411yescharacteristic
716D8×C73—22no—
717D8×C73—41no—
718D8×C73—41no—
719M16×C73—41no—
720C2×C8×C73—41no—
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73C2×D411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73C2×D411yescharacteristic
741C22⋊C4×C73C2×D411yescharacteristic
742C42×C73—21no—
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73C22×D411yescharacteristic
755C23×C73C22×D411yescharacteristic
756C22×D73—22no—
757C22×D73—21no—
758C22×D73—21no—
759C22×D73—21no—
760C22×D73—21no—
761C22×D73—41no—
762C22×D73—41no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73C22×D411yescharacteristic
782C22×D73C22×D411yescharacteristic
783C22×D73C22×D411yescharacteristic
784D4×C73—22no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—21no—
788D4×C73—21no—
789D4×C73—21no—
790D4×C73—21no—
791D4×C73—21no—
792D4×C73—42no—
793D4×C73—42no—
794D4×C73—42no—
795D4×C73—42no—
796D4×C73—81no—
797D4×C73—81no—
798D4×C73—81no—
799D4×C73—81no—
800D4×C73H(5,𝔽2)12yes—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—21no—
804C2×C4×C73—21no—
805C2×C4×C73—21no—
806C2×C4×C73—21no—
807C2×C4×C73—21no—
808C2×C4×C73—21no—
809C2×C4×C73—81no—
810C2×C4×C73—81no—
811C2×C4×C73—81no—
812C2×C4×C73C22×D411yescharacteristic
813C2×C4×C73C22×D411yescharacteristic
814C2×C4×C73C22×D411yescharacteristic
815C2×C4×C73C22×D411yescharacteristic
816C2×C4×C73C2511yescharacteristic
817C22⋊D73—24no—
818C22⋊D73—22no—
819C22⋊D73—41no—
820C22⋊D73—41no—
821C22⋊D73—41no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—42no—
828C22⋊D73—42no—
829C22⋊D73—42no—
830C22⋊D73—42no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C22⋊D73—81no—
837C22⋊D73—81no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C2×Dic73—24no—
842C2×Dic73—21no—
843C2×Dic73—21no—
844C2×Dic73—21no—
845C2×Dic73—21no—
846C2×Dic73—41no—
847C2×Dic73—42no—
848C2×Dic73—42no—
849C2×Dic73—42no—
850C2×Dic73—42no—
851C2×Dic73—42no—
852C2×Dic73—81no—
853C2×Dic73C22×D411yescharacteristic
854C2×Dic73C22×D411yescharacteristic
855C2×Dic73C22×D411yescharacteristic
856C2×Dic73C22×D411yescharacteristic
857C2×Dic73C22×D411yescharacteristic
858D292—21no—
859D292—21no—
860D292—21no—
861D292—21no—
862D292—21no—
863D292—21no—
864D292—21no—
865D292—21no—
866D292—41no—
867D292—41no—
868D292—42no—
869D292—42no—
870D292—81no—
871D292—81no—
872D292—81no—
873D292—81no—
874D292—81no—
875D292—81no—
876D292—81no—
877D292—81no—
878D292—81no—
879D292—81no—
880C4×D73—21no—
881C4×D73—21no—
882C4×D73—21no—
883C4×D73—21no—
884C4×D73—21no—
885C4×D73—21no—
886C4×D73—41no—
887C4×D73—41no—
888C4×D73—42no—
889C4×D73—81no—
890C4×D73—81no—
891C4×D73—81no—
892C4×D73—81no—
893C4×D73—81no—
894Dic146—21no—
895Dic146—21no—
896Dic146—21no—
897Dic146—41no—
898Dic146—42no—
899Dic146H(5,𝔽2)12yes—
900C8×C73—21no—
901C8×C73—21no—
902C8×C73—21no—
903C8×C73—21no—
904#10596831—21no—
905#10596831—21no—
906#10596831—21no—
907#10596831—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—22no—
912C22×C73—21no—
913C22×C73—21no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—41no—
925C22×C73—84no—
926C22×C73—162no—
927C22×C73#57612yes—
928C22×C73C23×D411yescharacteristic
929C2×D73—21no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—21no—
935C2×D73—21no—
936C2×D73—21no—
937C2×D73—21no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—41no—
944C2×D73—41no—
945C2×D73—41no—
946C2×D73—41no—
947C2×D73—41no—
948C2×D73—41no—
949C2×D73—41no—
950C2×D73—82no—
951C2×D73—162no—
952C2×D73—162no—
953C2×D73—162no—
954C2×D73—162no—
955C2×D73—162no—
956C2×D73—162no—
957C4×C73—21no—
958C4×C73—21no—
959C4×C73—21no—
960C4×C73—21no—
961C4×C73—41no—
962C4×C73—41no—
963C4×C73—41no—
964C4×C73—41no—
965C4×C73C2×H(5,𝔽2)11yescharacteristic
966C4×C73C2×H(5,𝔽2)11yescharacteristic
967Dic73—21no—
968Dic73—22no—
969Dic73—21no—
970Dic73—21no—
971Dic73—21no—
972Dic73—21no—
973Dic73—41no—
974Dic73—41no—
975Dic73—41no—
976#61617—731nomaximal, Sylow
977C2×C73—22no—
978C2×C73—41no—
979C2×C73—42no—
980C2×C73—81no—
981C2×C73—81no—
982C2×C73—81no—
983C2×C73#348411yescharacteristic
984C2×C73C2×#57611yescharacteristic
985C2×C73#358511yescharacteristic
986D73—41no—
987D73—41no—
988D73—41no—
989D73—81no—
990D73—81no—
991D73—81no—
992D73—81no—
993#3537—731no—
994#3488—731no—
995#3322—731no—
996#3322—731no—
997#3318—731no—
998#3318D7311yescharacteristic, complemented
999#3309—731no—
1000#3309—731no—
1001#3301—731no—
1002#3301—731no—
1003D4×D8—731no—
1004D4×D8—731no—
1005#3274—731no—
1006#3274—731no—
1007#3265—731no—
1008#3265—731no—
1009#3264—731no—
1010#3264—731no—
1011#3220—731no—
1012#3220—731no—
1013#3198—731no—
1014#3198—731no—
1015#3192—731no—
1016#3186—731no—
1017#3119—731no—
1018#3119—731no—
1019#3008—731no—
1020#3008—731no—
1021#3006—731no—
1022C2×#449—731no—
1023#2976—731no—
1024C73#6161711yescharacteristic, complemented, Sylow
1025C2×H(5,𝔽2)—731no—
1026C22×#41—731no—
1027C2×AGL(1,ℤ/8)—731no—
1028C2×AGL(1,ℤ/8)—731no—
1029C2×AGL(1,ℤ/8)—731no—
1030C2×AGL(1,ℤ/8)—731no—
1031C22×SD16—731no—
1032C22×D8—731no—
1033C22×D8—731no—
1034C22×D8—731no—
1035#560—1461no—
1036#560—1461no—
1037#553—731no—
1038#553—731no—
1039#553—731no—
1040#553C2×D7311yescharacteristic, complemented
1041#550—731no—
1042#550—731no—
1043#548—731no—
1044#548—731no—
1045#546—731no—
1046#546—731no—
1047#546—1461no—
1048#546—1461no—
1049D42—731no—
1050D42—731no—
1051D42—731no—
1052D42—731no—
1053D42—731no—
1054D42—1461no—
1055D42—1461no—
1056D42—1461no—
1057D42—1461no—
1058D42C2×D7311yescharacteristic, complemented
1059#540—731no—
1060#540—731no—
1061#538—1461no—
1062#538—1461no—
1063#537—731no—
1064#537—1461no—
1065#535—731no—
1066#535—731no—
1067#535—731no—
1068#535—1461no—
1069#534—1461no—
1070#534—1461no—
1071#525—731no—
1072#525—1461no—
1073C2×#121—731no—
1074C2×#121—731no—
1075C2×#121—731no—
1076C2×#121—1461no—
1077#520—731no—
1078#496—731no—
1079#496—731no—
1080#493—731no—
1081#493—731no—
1082#490—731no—
1083#490C2×D7311yescharacteristic, complemented
1084#488—731no—
1085#488—731no—
1086#485—731no—
1087#485—731no—
1088#482—731no—
1089#482C2×D7311yescharacteristic, complemented
1090#481—731no—
1091#481—731no—
1092#481—731no—
1093#481C2×D7311yescharacteristic, complemented
1094#480—731no—
1095#480—731no—
1096#480—731no—
1097#480—731no—
1098#479—731no—
1099#479—731no—
1100#478—731no—
1101#478C2×D7311yescharacteristic, complemented
1102#469—731no—
1103#469—731no—
1104#469—731no—
1105#469—731no—
1106#469—731no—
1107#469C2×D7311yescharacteristic, complemented
1108#468—731no—
1109#468—731no—
1110#466—731no—
1111#466—731no—
1112#466—731no—
1113#466—731no—
1114#466—731no—
1115#466C2×D7311yescharacteristic, complemented
1116#465—731no—
1117#465—731no—
1118#463—731no—
1119#463—731no—
1120#463—731no—
1121#463—731no—
1122#460—731no—
1123#460—731no—
1124#459—731no—
1125#459—731no—
1126#459—731no—
1127#459—731no—
1128#459—731no—
1129#459C2×D7311yescharacteristic, complemented
1130#450—731no—
1131#450—731no—
1132#449—731no—
1133#449—731no—
1134#449—731no—
1135#449—731no—
1136#449—731no—
1137#449—731no—
1138#449—731no—
1139#449—731no—
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449—731no—
1148#448—731no—
1149#448—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447—731no—
1160#447—731no—
1161#447—731no—
1162#447—731no—
1163#447—731no—
1164#447C2×D7311yescharacteristic, complemented
1165#447C2×D7311yescharacteristic, complemented
1166#442—731no—
1167#442C2×D7311yescharacteristic, complemented
1168#440—731no—
1169#440—731no—
1170C4×SD16—731no—
1171C4×SD16—731no—
1172C4×D8—731no—
1173C4×D8—731no—
1174#436—731no—
1175#436—731no—
1176#435—731no—
1177#435—731no—
1178#435—731no—
1179#435C2×D7311yescharacteristic, complemented
1180C8×D4—731no—
1181C8×D4—731no—
1182#433—731no—
1183#433—731no—
1184#418—731no—
1185#418C2×D7311yescharacteristic, complemented
1186#417—731no—
1187#417—731no—
1188#416—731no—
1189#416—731no—
1190C2×#103—731no—
1191C2×#102C2×D7311yescharacteristic, complemented
1192#408—731no—
1193#408—731no—
1194#407—731no—
1195C2×C22⋊C8—731no—
1196H(5,𝔽2)—2922no—
1197H(5,𝔽2)—2922no—
1198C2×#41—2922no—
1199C2×#41—2922no—
1200C2×#41—731no—
1201C2×#41—731no—
1202C2×#41—731no—
1203C2×#41—731no—
1204C2×#41—731no—
1205C2×#41—731no—
1206C2×#41—731no—
1207C2×#41—1461no—
1208C2×#41—1461no—
1209C2×#41—1461no—
1210C22×Q8—731no—
1211C22×D4—21no—
1212C22×D4—731no—
1213C22×D4—731no—
1214C22×D4—731no—
1215C22×D4—731no—
1216C22×D4—731no—
1217C22×D4—731no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4—1461no—
1224C22×D4—1461no—
1225C22×D4—1461no—
1226C22×D4—1461no—
1227C22×D4—1461no—
1228C22×D4—1461no—
1229C22×D4—1461no—
1230C22×D4C22×D7311yescharacteristic
1231C22×D4C22×D7311yescharacteristic
1232C23×C4—731no—
1233C23×C4—1461no—
1234AGL(1,ℤ/8)—2922no—
1235AGL(1,ℤ/8)—2922no—
1236AGL(1,ℤ/8)—2922no—
1237AGL(1,ℤ/8)—2922no—
1238C2×SD16—2922no—
1239C2×SD16—731no—
1240C2×SD16—731no—
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16—731no—
1244C2×SD16—731no—
1245C2×SD16—731no—
1246C2×SD16—731no—
1247C2×D8—2922no—
1248C2×D8—2922no—
1249C2×D8—2922no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8—731no—
1256C2×D8—731no—
1257C2×D8—731no—
1258C2×D8—731no—
1259C2×D8—731no—
1260C2×D8—731no—
1261C2×D8—731no—
1262C2×D8—731no—
1263C2×D8C22×D7311yescharacteristic
1264C2×D8C22×D7311yescharacteristic
1265C2×D8C22×D7311yescharacteristic
1266C2×M16—731no—
1267C2×M16—731no—
1268C2×M16—731no—
1269C2×M16C22×D7311yescharacteristic
1270C22×C8—731no—
1271C22×C8—731no—
1272C22×C8—731no—
1273C22×C8C22×D7311yescharacteristic
1274#127—731no—
1275#127—731no—
1276#127—731no—
1277#127—1461no—
1278#127—1461no—
1279#127—1461no—
1280#127—1461no—
1281#127C22×D7311yescharacteristic
1282#126—21no—
1283#126—1461no—
1284#126—1461no—
1285#126—1461no—
1286#125—731no—
1287#125C22×D7311yescharacteristic
1288#124—731no—
1289#124—731no—
1290#124—1461no—
1291#124—1461no—
1292#124—1461no—
1293#124—1461no—
1294#123—21no—
1295#123—731no—
1296#123—731no—
1297#123—1461no—
1298#123—1461no—
1299#123—1461no—
1300#123—1461no—
1301#123—1461no—
1302#123—1461no—
1303#123—1461no—
1304#123—1461no—
1305#123—1461no—
1306C22⋊Q8—731no—
1307C22⋊Q8—731no—
1308C22⋊Q8—731no—
1309C22⋊Q8—731no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313#121—21no—
1314#121—21no—
1315#121—731no—
1316#121—731no—
1317#121—731no—
1318#121—731no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
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#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121—1461no—
1360#121—1461no—
1361#121—1461no—
1362#121C22×D7311yescharacteristic
1363#121C22×D7311yescharacteristic
1364#121C22×D7311yescharacteristic
1365#121C22×D7311yescharacteristic
1366#120—21no—
1367#120—21no—
1368#120—731no—
1369#120—731no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380#120—1461no—
1381#120—1461no—
1382#120—1461no—
1383#120—1461no—
1384#120—1461no—
1385#120—1461no—
1386#120—1461no—
1387#120—1461no—
1388C4×Q8—731no—
1389C4×Q8—731no—
1390C4×D4—21no—
1391C4×D4—731no—
1392C4×D4—731no—
1393C4×D4—731no—
1394C4×D4—731no—
1395C4×D4—731no—
1396C4×D4—731no—
1397C4×D4—731no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401C4×D4—1461no—
1402C4×D4—1461no—
1403C4×D4—1461no—
1404C4×D4—1461no—
1405C4×D4—1461no—
1406C4×D4—1461no—
1407C4×D4C22×D7311yescharacteristic
1408C4×D4C22×D7311yescharacteristic
1409C4×D4C22×D7311yescharacteristic
1410#117—731no—
1411#117—731no—
1412#117—1461no—
1413#117C22×D7311yescharacteristic
1414C2×C4⋊C4—731no—
1415C2×C4⋊C4—731no—
1416C2×C4⋊C4—1461no—
1417C2×C4⋊C4C22×D7311yescharacteristic
1418C2×C22⋊C4—1461no—
1419C2×C22⋊C4—1461no—
1420C2×C22⋊C4—1461no—
1421C2×C22⋊C4—1461no—
1422C2×C22⋊C4—1461no—
1423#107—731no—
1424#107—731no—
1425#107—731no—
1426#107C22×D7311yescharacteristic
1427#106—731no—
1428#106—731no—
1429#106C22×D7311yescharacteristic
1430#106C22×D7311yescharacteristic
1431C4⋊C8—731no—
1432C4⋊C8—731no—
1433C4⋊C8—731no—
1434C4⋊C8C22×D7311yescharacteristic
1435#103—731no—
1436#103—731no—
1437#103—731no—
1438#103—731no—
1439#103—731no—
1440#103—731no—
1441#103—731no—
1442#103—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102—731no—
1455#102—731no—
1456#102—731no—
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic
1459#102C22×D7311yescharacteristic
1460#102C22×D7311yescharacteristic
1461#102C22×D7311yescharacteristic
1462#102C22×D7311yescharacteristic
1463#102C22×D7311yescharacteristic
1464#102C22×D7311yescharacteristic
1465#102C22×D7311yescharacteristic
1466#102C22×D7311yescharacteristic
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8—731no—
1470C22⋊C8—731no—
1471C22⋊C8—731no—
1472C22⋊C8—731no—
1473C22⋊C8—731no—
1474C22⋊C8—731no—
1475C22⋊C8—731no—
1476C22⋊C8—731no—
1477C22⋊C8C22×D7311yescharacteristic
1478C22⋊C8C22×D7311yescharacteristic
1479#97—731no—
1480#97C22×D7311yescharacteristic
1481C4×C8—731no—
1482C4×C8—731no—
1483C24—21no—
1484C24—21no—
1485C24—731no—
1486C24—1461no—
1487C24—1461no—
1488C24—1461no—
1489C24—1461no—
1490C24—1461no—
1491C24—1461no—
1492#41—2921no—
1493#41—2921no—
1494#41—2921no—
1495#41—2924no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2921no—
1500#41—2921no—
1501#41—2924no—
1502#41—2924no—
1503#41—1462no—
1504#41—1462no—
1505#41—1462no—
1506#41—1462no—
1507#41—1462no—
1508#41—1462no—
1509C2×Q8—2921no—
1510C2×Q8—731no—
1511C2×Q8—731no—
1512C2×Q8—731no—
1513C2×Q8—1462no—
1514C2×Q8—1461no—
1515C2×D4—22no—
1516C2×D4—22no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—82no—
1528C2×D4—2921no—
1529C2×D4—2921no—
1530C2×D4—2921no—
1531C2×D4—2921no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—2924no—
1535C2×D4—2921no—
1536C2×D4—2921no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—2921no—
1542C2×D4—2924no—
1543C2×D4—5842no—
1544C2×D4—5842no—
1545C2×D4—5842no—
1546C2×D4—5842no—
1547C2×D4—5842no—
1548C2×D4—5842no—
1549C2×D4—5842no—
1550C2×D4—5842no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—731no—
1554C2×D4—731no—
1555C2×D4—731no—
1556C2×D4—731no—
1557C2×D4—731no—
1558C2×D4—731no—
1559C2×D4—731no—
1560C2×D4—731no—
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×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1461no—
1582C2×D4—1461no—
1583C2×D4—1461no—
1584C2×D4—1462no—
1585C2×D4—1461no—
1586C2×D4—1461no—
1587C2×D4—1461no—
1588C2×D4—1461no—
1589C2×D4—1461no—
1590C2×D4—1461no—
1591C2×D4—1461no—
1592C2×D4—1461no—
1593C2×D4—1461no—
1594C2×D4D4×D7311yescharacteristic
1595C2×D4C23×D7311yescharacteristic
1596C2×D4C23×D7311yescharacteristic
1597C2×D4C23×D7311yescharacteristic
1598C2×D4C23×D7311yescharacteristic
1599C22×C4—21no—
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—2921no—
1603C22×C4—2921no—
1604C22×C4—2924no—
1605C22×C4—731no—
1606C22×C4—731no—
1607C22×C4—731no—
1608C22×C4—731no—
1609C22×C4—731no—
1610C22×C4—731no—
1611C22×C4—1461no—
1612C22×C4—1461no—
1613C22×C4—1461no—
1614C22×C4—1461no—
1615C22×C4—1461no—
1616C22×C4—1461no—
1617C22×C4—1461no—
1618C22×C4—1461no—
1619C22×C4—1461no—
1620C22×C4—1461no—
1621C22×C4—1461no—
1622C22×C4—1461no—
1623C22×C4—1461no—
1624C22×C4C23×D7311yescharacteristic
1625C22×C4C23×D7311yescharacteristic
1626SD16—2921no—
1627SD16—2921no—
1628SD16—2921no—
1629SD16—2921no—
1630SD16—1462no—
1631SD16—1462no—
1632SD16—1462no—
1633SD16—1462no—
1634D8—22no—
1635D8—41no—
1636D8—41no—
1637D8—2921no—
1638D8—2921no—
1639D8—2921no—
1640D8—2921no—
1641D8—2921no—
1642D8—2921no—
1643D8—2921no—
1644D8—2921no—
1645D8—2921no—
1646D8—2921no—
1647D8—1462no—
1648D8—1462no—
1649D8—1462no—
1650M16—41no—
1651M16—2921no—
1652M16—2921no—
1653M16—2921no—
1654C2×C8—41no—
1655C2×C8—2921no—
1656C2×C8—2921no—
1657C2×C8—2921no—
1658C2×C8—731no—
1659C2×C8—731no—
1660C2×C8—731no—
1661C2×C8—731no—
1662C2×C8C23×D7311yescharacteristic
1663C2×C8C23×D7311yescharacteristic
1664C2×C8C23×D7311yescharacteristic
1665C2×C8C23×D7311yescharacteristic
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—731no—
1670C4⋊C4—731no—
1671C4⋊C4—731no—
1672C4⋊C4—731no—
1673C4⋊C4—731no—
1674C4⋊C4—731no—
1675C4⋊C4—731no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4—1461no—
1681C4⋊C4—1461no—
1682C4⋊C4—1461no—
1683C4⋊C4—1461no—
1684C4⋊C4D4×D7311yescharacteristic
1685C4⋊C4C23×D7311yescharacteristic
1686C4⋊C4C23×D7311yescharacteristic
1687C4⋊C4C23×D7311yescharacteristic
1688C4⋊C4C23×D7311yescharacteristic
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—731no—
1697C22⋊C4—731no—
1698C22⋊C4—731no—
1699C22⋊C4—731no—
1700C22⋊C4—731no—
1701C22⋊C4—731no—
1702C22⋊C4—731no—
1703C22⋊C4—731no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4—1461no—
1725C22⋊C4—1461no—
1726C22⋊C4—1461no—
1727C22⋊C4—1461no—
1728C22⋊C4—1461no—
1729C22⋊C4D4×D7311yescharacteristic
1730C22⋊C4D4×D7311yescharacteristic
1731C42—21no—
1732C42—731no—
1733C42—1461no—
1734C42—1461no—
1735C42—1461no—
1736C42C23×D7311yescharacteristic
1737C23—21no—
1738C23—21no—
1739C23—21no—
1740C23—21no—
1741C23—42no—
1742C23—42no—
1743C23—42no—
1744C23—81no—
1745C23—81no—
1746C23—81no—
1747C23—2922no—
1748C23—2921no—
1749C23—2921no—
1750C23—2922no—
1751C23—2922no—
1752C23—2922no—
1753C23—5841no—
1754C23—5841no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—5841no—
1762C23—5841no—
1763C23—5841no—
1764C23—5841no—
1765C23—5841no—
1766C23—5841no—
1767C23—731no—
1768C23—731no—
1769C23—731no—
1770C23—1461no—
1771C23—1461no—
1772C23—1461no—
1773C23—1461no—
1774C23—1462no—
1775C23C2×D4×D7311yescharacteristic
1776C23C2×D4×D7311yescharacteristic
1777Q8—2922no—
1778Q8—2921no—
1779Q8—732no—
1780Q8—1461no—
1781Q8—1461no—
1782Q8—1461no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—2921no—
1800D4—2921no—
1801D4—2922no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2922no—
1806D4—2922no—
1807D4—2922no—
1808D4—2922no—
1809D4—2921no—
1810D4—2921no—
1811D4—2921no—
1812D4—2922no—
1813D4—2922no—
1814D4—2922no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—5841no—
1823D4—5841no—
1824D4—5841no—
1825D4—5841no—
1826D4—5841no—
1827D4—5841no—
1828D4—5841no—
1829D4—5841no—
1830D4—5841no—
1831D4—5841no—
1832D4—5841no—
1833D4—5841no—
1834D4—5841no—
1835D4—1464no—
1836D4—1462no—
1837D4—1461no—
1838D4—1461no—
1839D4—1461no—
1840D4—1461no—
1841D4—1461no—
1842D4—1461no—
1843D4—1461no—
1844D4—1461no—
1845D4#1455663712yes—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—81no—
1855C2×C4—81no—
1856C2×C4—81no—
1857C2×C4—2922no—
1858C2×C4—2921no—
1859C2×C4—2921no—
1860C2×C4—2922no—
1861C2×C4—2922no—
1862C2×C4—2922no—
1863C2×C4—2921no—
1864C2×C4—2922no—
1865C2×C4—2922no—
1866C2×C4—5841no—
1867C2×C4—5841no—
1868C2×C4—5841no—
1869C2×C4—5841no—
1870C2×C4—5841no—
1871C2×C4—5841no—
1872C2×C4—731no—
1873C2×C4—731no—
1874C2×C4—731no—
1875C2×C4—731no—
1876C2×C4—731no—
1877C2×C4—1461no—
1878C2×C4—1461no—
1879C2×C4—1461no—
1880C2×C4—1464no—
1881C2×C4—1461no—
1882C2×C4—1461no—
1883C2×C4—1461no—
1884C2×C4—1461no—
1885C2×C4—1461no—
1886C2×C4—1461no—
1887C2×C4—1461no—
1888C2×C4C2×D4×D7311yescharacteristic
1889C2×C4C2×D4×D7311yescharacteristic
1890C2×C4C2×D4×D7311yescharacteristic
1891C2×C4C2×D4×D7311yescharacteristic
1892C2×C4C24×D7311yescharacteristic
1893C8—21no—
1894C8—21no—
1895C8—21no—
1896C8—21no—
1897C8—1461no—
1898C8—1461no—
1899C8—1461no—
1900C8—1461no—
1901C22—21no—
1902C22—21no—
1903C22—21no—
1904C22—22no—
1905C22—21no—
1906C22—21no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—84no—
1919C22—162no—
1920C22—2921no—
1921C22—2921no—
1922C22—2921no—
1923C22—2921no—
1924C22—2921no—
1925C22—2921no—
1926C22—2921no—
1927C22—2921no—
1928C22—2921no—
1929C22—2921no—
1930C22—2921no—
1931C22—2921no—
1932C22—5842no—
1933C22—11682no—
1934C22—11682no—
1935C22—11682no—
1936C22—11682no—
1937C22—11682no—
1938C22—11682no—
1939C22—1461no—
1940C22—1461no—
1941C22—1461no—
1942C22—1461no—
1943C22—1461no—
1944C22—1461no—
1945C22—1461no—
1946C22—1461no—
1947C22—1461no—
1948C22#1798939112yes—
1949C22C22×D4×D7311yescharacteristic
1950C4—21no—
1951C4—21no—
1952C4—21no—
1953C4—21no—
1954C4—41no—
1955C4—41no—
1956C4—41no—
1957C4—41no—
1958C4—2921no—
1959C4—2921no—
1960C4—2921no—
1961C4—1461no—
1962C4—1461no—
1963C4—1462no—
1964C4—1461no—
1965C4—1461no—
1966C4—1461no—
1967C4H(5,𝔽2)×D7311yescharacteristic
1968C4C2×#1455663711yescharacteristic
1969C2—22no—
1970C2—41no—
1971C2—42no—
1972C2—81no—
1973C2—81no—
1974C2—81no—
1975C2—2921no—
1976C2—2921no—
1977C2—2921no—
1978C2—5841no—
1979C2—5841no—
1980C2—5841no—
1981C2—5841no—
1982C2#2262356111yescharacteristic
1983C2C2×#1798939111yescharacteristic
1984C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3318C2
socleC22×C73C23×D4
hypercenter#3318D73
hypocenterC73#61617
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3318

Complements

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

NH ≅ G/Ntype
1. #22624167C2semidirect
2. #22623591C2semidirect
3. #22622129C2semidirect
4. #22622128C2semidirect
5. #22622068C2semidirect
6. #22621936C2semidirect
7. #22621935C2semidirect
8. #22621831C2semidirect
9. #22621827C2semidirect
10. D4×#11924013C2semidirect
11. #22621601C2semidirect
12. #22621554C2semidirect
13. #22621548C2semidirect
14. #22621431C2semidirect
15. #22621423C2semidirect
16. #22621413C2semidirect
17. #22621404C2semidirect
18. #22620982C2semidirect
19. #22620980C2semidirect
20. #22620781C2semidirect
21. #22620778C2semidirect
22. #22620730C2semidirect
23. #22620678C2semidirect
24. #22620135C2semidirect
25. #22620134C2semidirect
26. #22619200C2semidirect
27. #22619194C2semidirect
28. #22619178C2semidirect
29. C2×#17988733C2semidirect
30. #22618980C2semidirect
31. C73×#3318C2semidirect
32. C2×#14556636C22semidirect
33. C22×#11924027C22semidirect
34. C2×#14556619C22semidirect
35. C2×#14556615C22semidirect
36. C2×#14556615C22semidirect
37. C2×#14556615C22semidirect
38. C22×#11924017C22semidirect
39. C22×#11924013C22semidirect
40. C22×#11924013C22semidirect
41. C2×D8×D73C22semidirect
44. #17989290C22semidirect
45. #17989285C22semidirect
46. #17989281C22semidirect
47. #17989257C22semidirect
48. #17989255C22semidirect
49. #17989246C22semidirect
50. #17989243C22semidirect
51. #17989232C22semidirect
52. #17989231C22semidirect
56. D4×D292C22semidirect
57. D4×D292C22semidirect
59. #17989221C22semidirect
60. #17989221C22semidirect
62. D4×C22⋊D73C22semidirect
64. #17989193C22semidirect
65. #17989188C22semidirect
68. #17989166C22semidirect
70. #17989156C22semidirect
71. #17989153C22semidirect
73. #17989150C22semidirect
78. C2×#14556566C22semidirect
80. #121×D73C22semidirect
81. #121×D73C22semidirect
82. #17989066C22semidirect
83. #17988976C22semidirect
84. #17988975C22semidirect
85. #17988963C22semidirect
86. #17988962C22semidirect
87. #17988950C22semidirect
88. #17988944C22semidirect
89. #17988940C22semidirect
90. #17988931C22semidirect
91. #17988928C22semidirect
92. #17988909C22semidirect
93. #17988907C22semidirect
94. #17988907C22semidirect
95. #17988905C22semidirect
96. #17988902C22semidirect
97. #17988902C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988897C22semidirect
101. #17988891C22semidirect
102. #17988885C22semidirect
103. #17988841C22semidirect
104. #17988841C22semidirect
105. #17988839C22semidirect
106. #17988839C22semidirect
107. #17988839C22semidirect
108. #17988834C22semidirect
109. #17988833C22semidirect
110. #17988823C22semidirect
111. #17988822C22semidirect
112. #17988821C22semidirect
113. #17988821C22semidirect
114. #17988821C22semidirect
115. #17988817C22semidirect
116. #17988814C22semidirect
117. #17988803C22semidirect
118. #17988802C22semidirect
119. #17988801C22semidirect
120. #17988801C22semidirect
121. #17988788C22semidirect
122. #17988786C22semidirect
123. #17988782C22semidirect
124. #17988781C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988740C22semidirect
129. #17988739C22semidirect
130. #17988734C22semidirect
131. #17988733C22semidirect
132. #17988733C22semidirect
133. #17988733C22semidirect
134. #17988733C22semidirect
135. #17988733C22semidirect
136. #17988733C22semidirect
137. #17988733C22semidirect
138. #17988733C22semidirect
139. #17988733C22semidirect
140. #17988733C22semidirect
141. #17988733C22semidirect
142. #17988733C22semidirect
143. #17988730C22semidirect
144. #17988729C22semidirect
145. #17988729C22semidirect
146. #17988728C22semidirect
147. #17988725C22semidirect
148. #17988723C22semidirect
149. #17988722C22semidirect
150. #17988722C22semidirect
151. #17988722C22semidirect
152. #17988722C22semidirect
153. #17988722C22semidirect
154. #17988722C22semidirect
155. #17988721C22semidirect
156. #17988721C22semidirect
157. #17988720C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988719C22semidirect
161. #17988719C22semidirect
162. #17988696C22semidirect
163. #17988689C22semidirect
164. #17988686C22semidirect
165. #17988674C22semidirect
166. C4×#11924016C22semidirect
167. C4×#11924013C22semidirect
168. #17988667C22semidirect
169. #17988664C22semidirect
170. #17988663C22semidirect
171. #17988660C22semidirect
172. #17988658C22semidirect
173. #17988655C22semidirect
174. D4×#10596831C22semidirect
175. #17988650C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988590C22semidirect
179. #17988585C22semidirect
180. #17988585C22semidirect
181. #17988581C22semidirect
182. #17988580C22semidirect
183. C2×#14556514C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. C2×#14556503C22semidirect
188. #553×C73C22semidirect
189. D42×C73C22semidirect
190. #490×C73C22semidirect
191. #482×C73C22semidirect
192. #481×C73C22semidirect
193. #478×C73C22semidirect
194. #469×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
197. #447×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. C2×#102×C73C22semidirect
998. #3318D73semidirect
1024. C73#61617semidirect
1040. #553C2×D73semidirect
1058. D42C2×D73semidirect
1083. #490C2×D73semidirect
1089. #482C2×D73semidirect
1093. #481C2×D73semidirect
1101. #478C2×D73semidirect
1107. #469C2×D73semidirect
1115. #466C2×D73semidirect
1129. #459C2×D73semidirect
1164. #447C2×D73semidirect
1165. #447C2×D73semidirect
1167. #442C2×D73semidirect
1179. #435C2×D73semidirect
1185. #418C2×D73semidirect
1191. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241672
#226235912
#226221292
#226221282
#226220682
#226219362
#226219352
#226218312
#226218272
D4×#119240132
#226216012
#226215542
#226215482
#226214312
#226214232
#226214132
#226214042
#226209822
#226209802
#226207812
#226207782
#226207302
#226206782
#226201352
#226201342
#226192002
#226191942
#226191782
C2×#179887332
#226189802
C73×#33182
#6161773