Finite Group Databasebeta

← #33957884

Subgroups — #33957884

Order 18688.

2208 conjugacy classes of subgroups.

The subgroup lattice has 1964 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623706C211yesmaximal, characteristic, complemented
2#22623351C211yesmaximal, characteristic, complemented
3#22621032C211yesmaximal, characteristic, complemented
4#22621030C211yesmaximal, characteristic, complemented
5#22621019C211yesmaximal, characteristic, complemented
6#22620983C211yesmaximal, characteristic, complemented
7#22620981C211yesmaximal, characteristic, complemented
8#22620980C211yesmaximal, characteristic, complemented
9#22620978C211yesmaximal, characteristic, complemented
10#22620952C211yesmaximal, characteristic, complemented
11#22620945C211yesmaximal, characteristic, complemented
12#22620927C211yesmaximal, characteristic, complemented
13#22620923C211yesmaximal, characteristic, complemented
14#22620910C211yesmaximal, characteristic, complemented
15#22620902C211yesmaximal, characteristic, complemented
16#22620850C211yesmaximal, characteristic, complemented
17#22620847C211yesmaximal, characteristic, complemented
18#22620415C211yesmaximal, characteristic, complemented
19#22620413C211yesmaximal, characteristic, complemented
20#22620282C211yesmaximal, characteristic, complemented
21#22620280C211yesmaximal, characteristic, complemented
22#22619408C211yesmaximal, characteristic, complemented
23#22619393C211yesmaximal, characteristic, complemented
24#22619385C211yesmaximal, characteristic, complemented
25#459×D73C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619236C211yesmaximal, characteristic, complemented
28#22619196C211yesmaximal, characteristic, complemented
29#22619194C211yesmaximal, characteristic, complemented
30#22618594C211yesmaximal, characteristic, complemented
31C73×#3224C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556618C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556614C2211yescharacteristic, complemented
39C2×#14556612C2211yescharacteristic, complemented
40C2×D8×D73C2211yescharacteristic, complemented
41C2×D8×D73C2211yescharacteristic, complemented
42#17989255—21no—
43#17989255—21no—
44#17989221—21no—
45#17989221—21no—
46#17989219—21no—
47#17989219—21no—
48#17989219—21no—
49#17989219—21no—
50#17989214C2211yescharacteristic, complemented
51#17989209C2211yescharacteristic, complemented
52#17989207—21no—
53#17989192C2211yescharacteristic, complemented
54#17989189—21no—
55#17989188C2211yescharacteristic, complemented
56#17989176—21no—
57#17989171—21no—
58#17989167C2211yescharacteristic
59#17989156C2211yescharacteristic, complemented
60#17989155C2211yescharacteristic
61#17989155C2211yescharacteristic, complemented
62#17989155C2211yescharacteristic, complemented
63#17989153C2211yescharacteristic
64#17989150C2211yescharacteristic
65#17989150C2211yescharacteristic, complemented
66#17989138C2211yescharacteristic, complemented
67#17989136—21no—
68#17989136C2211yescharacteristic
69#17989136C2211yescharacteristic, complemented
70#17989133C2211yescharacteristic, complemented
71#17989132C2211yescharacteristic, complemented
72C2×#14556587C2211yescharacteristic, complemented
73#127×D73C2211yescharacteristic
74#127×D73C2211yescharacteristic, complemented
75#17989123C2211yescharacteristic, complemented
76#17989120—21no—
77#17989116C2211yescharacteristic, complemented
78#17989100—21no—
79#17989095—21no—
80C4×#11924029C2211yescharacteristic, complemented
81#17989055C2211yescharacteristic
82C4×D4×D73C2211yescharacteristic, complemented
83#17988977C2211yescharacteristic, complemented
84#17988977C2211yescharacteristic, complemented
85#17988976C2211yescharacteristic, complemented
86#17988975C2211yescharacteristic, complemented
87#17988973C2211yescharacteristic, complemented
88#17988973C2211yescharacteristic, complemented
89#17988973C2211yescharacteristic, complemented
90#17988972C2211yescharacteristic, complemented
91#17988969C2211yescharacteristic, complemented
92#17988968C2211yescharacteristic, complemented
93#17988964C2211yescharacteristic, complemented
94#17988963C2211yescharacteristic, complemented
95#17988962C2211yescharacteristic, complemented
96#17988962C2211yescharacteristic, complemented
97#17988952C2211yescharacteristic, complemented
98#17988951C2211yescharacteristic, complemented
99#17988950C2211yescharacteristic, complemented
100#17988950C2211yescharacteristic, complemented
101#17988949C2211yescharacteristic, complemented
102#17988948C2211yescharacteristic, complemented
103#17988945C2211yescharacteristic, complemented
104#17988943C2211yescharacteristic, complemented
105#17988942C2211yescharacteristic, complemented
106#17988941C2211yescharacteristic, complemented
107#17988940C2211yescharacteristic, complemented
108#17988935C2211yescharacteristic, complemented
109#17988932C2211yescharacteristic, complemented
110#17988932C2211yescharacteristic, complemented
111#17988809C2211yescharacteristic, complemented
112#17988803C2211yescharacteristic, complemented
113#17988803C2211yescharacteristic, complemented
114#17988802C2211yescharacteristic, complemented
115#17988799C2211yescharacteristic, complemented
116#17988799C2211yescharacteristic, complemented
117#17988795C2211yescharacteristic, complemented
118#17988791C2211yescharacteristic, complemented
119#17988791C2211yescharacteristic, complemented
120#17988790C2211yescharacteristic, complemented
121#17988787C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988785C2211yescharacteristic, complemented
124#17988785C2211yescharacteristic, complemented
125#17988783C2211yescharacteristic, complemented
126#17988783C2211yescharacteristic, complemented
127#17988782C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988781C2211yescharacteristic, complemented
130#17988781C2211yescharacteristic, complemented
131#17988781C2211yescharacteristic, complemented
132#17988781C2211yescharacteristic, complemented
133#17988781C2211yescharacteristic, complemented
134#17988780C2211yescharacteristic, complemented
135#17988780C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic, complemented
137#17988779C2211yescharacteristic, complemented
138#17988779C2211yescharacteristic, complemented
139#17988748C2211yescharacteristic, complemented
140#17988747C2211yescharacteristic, complemented
141#17988746C2211yescharacteristic, complemented
142#17988737C2211yescharacteristic, complemented
143#17988736C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988735C2211yescharacteristic, complemented
146#17988735C2211yescharacteristic, complemented
147#17988734C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988732C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988730C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988723C2211yescharacteristic, complemented
157#17988723C2211yescharacteristic, complemented
158#17988722C2211yescharacteristic, complemented
159#17988722C2211yescharacteristic, complemented
160#17988722C2211yescharacteristic, complemented
161#17988722C2211yescharacteristic, complemented
162#17988721C2211yescharacteristic, complemented
163#17988721C2211yescharacteristic, complemented
164#17988720C2211yescharacteristic, complemented
165#17988719C2211yescharacteristic, complemented
166#17988719C2211yescharacteristic, complemented
167#17988648C2211yescharacteristic, complemented
168#17988647C2211yescharacteristic, complemented
169#17988647C2211yescharacteristic, complemented
170#17988642C2211yescharacteristic, complemented
171#17988641C2211yescharacteristic, complemented
172#17988638C2211yescharacteristic, complemented
173#17988637C2211yescharacteristic, complemented
174#17988609C2211yescharacteristic, complemented
175C4⋊C8×D73C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic, complemented
187#17988541C2211yescharacteristic, complemented
188#542×C73C2211yescharacteristic, complemented
189#535×C73C2211yescharacteristic, complemented
190#496×C73C2211yescharacteristic, complemented
191#495×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic, complemented
193#486×C73C2211yescharacteristic, complemented
194#464×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#459×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#447×C73C2211yescharacteristic, complemented
202#433×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029—21no—
208C2×#11924029C2311yescharacteristic
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924028—21no—
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924027—21no—
215C2×#11924027—21no—
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218C22×D292—21no—
219C22×D292C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C22×C22⋊D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73—21no—
229C2×D4×D73—21no—
230C2×D4×D73—21no—
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C2×D4×D73C2311yescharacteristic
235C2×D4×D73C2311yescharacteristic
236C22×C4×D73—21no—
237#14556618—42no—
238#14556618—42no—
239#14556618—42no—
240#14556615—42no—
241#14556614—42no—
242#14556612—42no—
243C2×#11924018C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249C2×#11924015C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×D584C2311yescharacteristic
253C2×D584C2311yescharacteristic
254C2×D584C2311yescharacteristic
255C2×D584C2311yescharacteristic
256C2×D584C2311yescharacteristic
257C2×D584C2311yescharacteristic
258C2×#11924013C2311yescharacteristic
259C2×#11924013C2311yescharacteristic
260C2×#11924013C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924013C2311yescharacteristic
263C2×#11924013C2311yescharacteristic
264C2×#11924013C2311yescharacteristic
265C2×#11924013C2311yescharacteristic
266C2×#11924013C2311yescharacteristic
267D8×D73—42no—
268D8×D73—42no—
269C2×#11924011C2311yescharacteristic
270C2×#11924011C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272C2×C8×D73C2311yescharacteristic
273#14556590C2311yescharacteristic
274#14556589—21no—
275#14556589C2311yescharacteristic
276#14556588C2311yescharacteristic
277#14556588C2311yescharacteristic
278#14556588C2311yescharacteristic
279#14556587—21no—
280#14556587—21no—
281#14556587—21no—
282#14556587—21no—
283#14556587—21no—
284#14556587—21no—
285#14556587—21no—
286#14556587C2311yescharacteristic
287#14556587C2311yescharacteristic
288#14556587C2311yescharacteristic
289#14556587C2311yescharacteristic
290#14556587C2311yescharacteristic
291#14556587C2311yescharacteristic
292#14556586—21no—
293#14556585—21no—
294#14556584—21no—
295#14556583C2311yescharacteristic
296#14556582C2311yescharacteristic
297#14556581—21no—
298#14556580—21no—
299#14556580C2311yescharacteristic
300#14556580C2311yescharacteristic
301#14556579—21no—
302#14556579C2311yescharacteristic
303#14556579C2311yescharacteristic
304#14556578C2311yescharacteristic
305#14556577—21no—
306#14556577—21no—
307#14556576—21no—
308#14556576—21no—
309#14556576—21no—
310#14556575—21no—
311#14556574—21no—
312#14556573—21no—
313#14556573—21no—
314#14556569—21no—
315#14556569—21no—
316#14556569—21no—
317#14556567—21no—
318#14556567C2311yescharacteristic
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566—21no—
323#14556566C2311yescharacteristic
324#14556566C2311yescharacteristic
325#14556565—21no—
326#14556565C2311yescharacteristic
327#14556565C2311yescharacteristic
328#14556564—21no—
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#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564—21no—
341#14556564—21no—
342#14556564—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563—21no—
347#14556563—21no—
348#14556563—21no—
349#14556563—21no—
350#14556562C2311yescharacteristic
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561—21no—
357#14556561—21no—
358#14556561—21no—
359#14556561—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559—21no—
364#14556559—21no—
365Q8×Dic73C2311yescharacteristic
366#14556556D411yescharacteristic
367#14556556D411yescharacteristic
368C4×D292—21no—
369C4×D292C2311yescharacteristic
370C4×D292C2311yescharacteristic
371D4×Dic73C2311yescharacteristic
372#14556553—21no—
373#14556553—21no—
374#14556553D411yescharacteristic
375#14556553D411yescharacteristic
376#14556553C2311yescharacteristic
377#14556553C2311yescharacteristic
378C4×C22⋊D73—21no—
379C4×C22⋊D73—21no—
380C4×C22⋊D73—21no—
381#14556551—21no—
382#14556551—21no—
383#14556551—21no—
384#14556551—21no—
385#14556551—21no—
386#14556551—21no—
387#14556551—21no—
388#14556551—21no—
389#14556551D411yescharacteristic
390#14556551D411yescharacteristic
391#14556551D411yescharacteristic
392#14556551D411yescharacteristic
393#14556549—21no—
394#14556549—21no—
395#14556549C2311yescharacteristic
396#14556548C2311yescharacteristic
397#14556548C2311yescharacteristic
398#14556547—21no—
399C4⋊C4×D73C2311yescharacteristic
400C22⋊C4×D73—21no—
401C2×C4×Dic73C2311yescharacteristic
402C42×D73—21no—
403C42×D73C2311yescharacteristic
404C42×D73C2311yescharacteristic
405C4⋊#10596831C2311yescharacteristic
406C4⋊#10596831C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443#14556501C2311yescharacteristic
444C4×#10596831C2311yescharacteristic
445C8×Dic73C2311yescharacteristic
446C8×Dic73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449C2×Q16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×D8×C73C2311yescharacteristic
455C2×D8×C73C2311yescharacteristic
456C2×D8×C73C2311yescharacteristic
457C4⋊Q8×C73C2311yescharacteristic
458#127×C73C2311yescharacteristic
459#127×C73C2311yescharacteristic
460#126×C73—21no—
461#124×C73—21no—
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#120×C73—21no—
472#120×C73—21no—
473C4×Q8×C73C2311yescharacteristic
474C4×D4×C73C2311yescharacteristic
475#117×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477C4⋊C8×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
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488#97×C73C2311yescharacteristic
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—22no—
500#11924029—41no—
501#11924029—41no—
502#11924029—82no—
503#11924028—22no—
504#11924028—22no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924027—22no—
509#11924027—22no—
510#11924027—41no—
511#11924027—41no—
512#11924027—44no—
513#11924027—82no—
514C2×Dic146—21no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2411yescharacteristic
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
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—41no—
530C2×D292—41no—
531C2×D292—44no—
532C2×D292C2×D411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
536C2×D292C2411yescharacteristic
537C2×D292C2411yescharacteristic
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—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—44no—
562C2×C22⋊D73—44no—
563C2×C22⋊D73—82no—
564C2×C22⋊D73—82no—
565C2×C22⋊D73C2×D411yescharacteristic
566C2×C22⋊D73C2×D411yescharacteristic
567D4×D73—22no—
568D4×D73—22no—
569D4×D73—22no—
570D4×D73—22no—
571D4×D73—22no—
572D4×D73—22no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—41no—
576D4×D73—41no—
577D4×D73—44no—
578D4×D73—44no—
579D4×D73—44no—
580D4×D73—82no—
581D4×D73—82no—
582D4×D73—82no—
583D4×D73—82no—
584C22×Dic73—21no—
585C22×Dic73—21no—
586C22×Dic73—21no—
587C22×Dic73C2×D411yescharacteristic
588C22×Dic73C2×D411yescharacteristic
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—21no—
594C2×C4×D73—21no—
595C2×C4×D73—21no—
596C2×C4×D73—21no—
597C2×C4×D73—21no—
598C2×C4×D73—82no—
599C2×C4×D73C2×D411yescharacteristic
600C2×C4×D73C2×D411yescharacteristic
601C2×C4×D73C2×D411yescharacteristic
602C2×C4×D73C2×D411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604C2×C4×D73C2411yescharacteristic
605#11924018—41no—
606#11924017—41no—
607#11924017—41no—
608#11924016—41no—
609#11924015—41no—
610#11924015—41no—
611#11924015—41no—
612#11924015—41no—
613#11924015—41no—
614D584—41no—
615D584—41no—
616D584—41no—
617D584—41no—
618D584—41no—
619D584—41no—
620#11924013—41no—
621#11924013—41no—
622#11924013—41no—
623#11924013—41no—
624#11924013—41no—
625#11924013—41no—
626#11924013—41no—
627#11924013—41no—
628#11924013—41no—
629#11924011—22no—
630#11924011—22no—
631C2×#10596831C2411yescharacteristic
632C2×#10596831C2411yescharacteristic
633C2×#10596831C2411yescharacteristic
634C2×#10596831C2411yescharacteristic
635C8×D73—22no—
636C8×D73—22no—
637C4⋊Dic73—21no—
638C4⋊Dic73—21no—
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641#11924007—21no—
642#11924007—21no—
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007C2×D411yescharacteristic
650#11924007C2×D411yescharacteristic
651#11924007C2×D411yescharacteristic
652#11924007C2×D411yescharacteristic
653C22⋊Dic73—21no—
654C22⋊Dic73—21no—
655C22⋊Dic73—21no—
656C22⋊Dic73—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73C2×D411yescharacteristic
682C4×Dic73C2×D411yescharacteristic
683C4×Dic73C2×D411yescharacteristic
684C4×Dic73C2×D411yescharacteristic
685C4×Dic73C2×D411yescharacteristic
686C4×Dic73C2×D411yescharacteristic
687C4×Dic73C2411yescharacteristic
688C4×Dic73C2411yescharacteristic
689C24×C73—21no—
690#41×C73—41no—
691#41×C73—41no—
692C2×Q8×C73—21no—
693C2×Q8×C73C2411yescharacteristic
694C2×Q8×C73C2411yescharacteristic
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—41no—
703C2×D4×C73—41no—
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73C2411yescharacteristic
711Q16×C73—41no—
712SD16×C73—41no—
713SD16×C73—41no—
714SD16×C73—41no—
715SD16×C73—41no—
716D8×C73—41no—
717D8×C73—41no—
718D8×C73—41no—
719C2×C8×C73C2411yescharacteristic
720C2×C8×C73C2411yescharacteristic
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C4⋊C4×C73—21no—
724C4⋊C4×C73—21no—
725C4⋊C4×C73—21no—
726C4⋊C4×C73C2×D411yescharacteristic
727C4⋊C4×C73C2×D411yescharacteristic
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×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73C2×D411yescharacteristic
740C22⋊C4×C73C2×D411yescharacteristic
741C42×C73—21no—
742C42×C73C2411yescharacteristic
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—81no—
750C23×C73—81no—
751C23×C73C22×D411yescharacteristic
752C22×D73—21no—
753C22×D73—21no—
754C22×D73—21no—
755C22×D73—21no—
756C22×D73—21no—
757C22×D73—42no—
758C22×D73—42no—
759C22×D73—42no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73—81no—
764C22×D73—81no—
765C22×D73—81no—
766C22×D73—81no—
767C22×D73—81no—
768C22×D73—81no—
769C22×D73—81no—
770C22×D73—81no—
771C22×D73—81no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73C22×D411yescharacteristic
776C22×D73C22×D411yescharacteristic
777Q8×C73—21no—
778Q8×C73—21no—
779Q8×C73—21no—
780Q8×C73—21no—
781Q8×C73—81no—
782D4×C73—21no—
783D4×C73—21no—
784D4×C73—21no—
785D4×C73—21no—
786D4×C73—21no—
787D4×C73—21no—
788D4×C73—21no—
789D4×C73—21no—
790D4×C73—42no—
791D4×C73—42no—
792D4×C73—81no—
793D4×C73—81no—
794D4×C73—81no—
795D4×C73—81no—
796D4×C73—81no—
797C2×C4×C73—21no—
798C2×C4×C73—21no—
799C2×C4×C73—21no—
800C2×C4×C73—21no—
801C2×C4×C73—21no—
802C2×C4×C73—21no—
803C2×C4×C73—42no—
804C2×C4×C73—81no—
805C2×C4×C73C22×D411yescharacteristic
806C2×C4×C73C22×D411yescharacteristic
807C2×C4×C73C22×D411yescharacteristic
808C2×C4×C73C22×D411yescharacteristic
809C2×C4×C73C22×D411yescharacteristic
810C2×C4×C73C2511yescharacteristic
811C22⋊D73—22no—
812C22⋊D73—22no—
813C22⋊D73—42no—
814C22⋊D73—42no—
815C22⋊D73—42no—
816C22⋊D73—42no—
817C22⋊D73—42no—
818C22⋊D73—42no—
819C22⋊D73—42no—
820C22⋊D73—42no—
821C22⋊D73—42no—
822C22⋊D73—42no—
823C22⋊D73—42no—
824C22⋊D73—42no—
825C22⋊D73—42no—
826C22⋊D73—42no—
827C22⋊D73—81no—
828C22⋊D73—81no—
829C22⋊D73—81no—
830C22⋊D73—81no—
831C22⋊D73—81no—
832C22⋊D73—81no—
833C22⋊D73—81no—
834C22⋊D73—81no—
835C22⋊D73—81no—
836C2×Dic73—22no—
837C2×Dic73—21no—
838C2×Dic73—21no—
839C2×Dic73—21no—
840C2×Dic73—41no—
841C2×Dic73—42no—
842C2×Dic73—42no—
843C2×Dic73—42no—
844C2×Dic73C22×D411yescharacteristic
845C2×Dic73C22×D411yescharacteristic
846C2×Dic73C22×D411yescharacteristic
847C2×Dic73C22×D411yescharacteristic
848C2×Dic73C22×D411yescharacteristic
849C2×Dic73C22×D411yescharacteristic
850D292—22no—
851D292—21no—
852D292—21no—
853D292—21no—
854D292—21no—
855D292—21no—
856D292—21no—
857D292—21no—
858D292—21no—
859D292—21no—
860D292—21no—
861D292—42no—
862D292—42no—
863D292—42no—
864D292—42no—
865D292—81no—
866D292—81no—
867D292—81no—
868D292—81no—
869D292—81no—
870D292—81no—
871D292—81no—
872D292—81no—
873C4×D73—21no—
874C4×D73—21no—
875C4×D73—22no—
876C4×D73—22no—
877C4×D73—41no—
878C4×D73—41no—
879C4×D73—42no—
880C4×D73—42no—
881C4×D73—42no—
882C4×D73—42no—
883C4×D73—42no—
884C4×D73—42no—
885C4×D73—81no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73H(5,𝔽2)12yes—
889C4×D73H(5,𝔽2)12yes—
890Dic146—22no—
891Dic146—21no—
892Dic146—21no—
893Dic146—81no—
894C8×C73—21no—
895C8×C73—21no—
896C8×C73—21no—
897C8×C73—21no—
898#10596831—21no—
899#10596831—21no—
900#10596831—21no—
901#10596831—21no—
902C22×C73—21no—
903C22×C73—21no—
904C22×C73—21no—
905C22×C73—41no—
906C22×C73—41no—
907C22×C73—41no—
908C22×C73—41no—
909C22×C73—41no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—162no—
918C22×C73C23×D411yescharacteristic
919C2×D73—21no—
920C2×D73—21no—
921C2×D73—21no—
922C2×D73—21no—
923C2×D73—21no—
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—41no—
933C2×D73—41no—
934C2×D73—41no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—84no—
940C2×D73—162no—
941C2×D73—162no—
942C2×D73—162no—
943C2×D73—162no—
944C2×D73—162no—
945C2×D73#53512yes—
946C4×C73—21no—
947C4×C73—21no—
948C4×C73—21no—
949C4×C73—21no—
950C4×C73—21no—
951C4×C73—41no—
952C4×C73—41no—
953C4×C73—41no—
954C4×C73—41no—
955C4×C73C2×H(5,𝔽2)11yescharacteristic
956C4×C73C2×H(5,𝔽2)11yescharacteristic
957Dic73—21no—
958Dic73—21no—
959Dic73—21no—
960Dic73—21no—
961Dic73—41no—
962Dic73—41no—
963Dic73—41no—
964Dic73#53512yes—
965Dic73#57612yes—
966#60832—731nomaximal, Sylow
967C2×C73—41no—
968C2×C73—81no—
969C2×C73—81no—
970C2×C73—81no—
971C2×C73—81no—
972C2×C73C2×#53511yescharacteristic
973C2×C73C2×#57611yescharacteristic
974C2×C73#358511yescharacteristic
975D73—22no—
976D73—41no—
977D73—81no—
978D73—81no—
979D73—81no—
980D73—81no—
981D73—81no—
982#3498—731no—
983#3460—731no—
984#3224—731no—
985#3224—731no—
986#3224—731no—
987#3224D7311yescharacteristic, complemented
988#3220—731no—
989#3220—731no—
990#3220—731no—
991#3220—731no—
992#3217—731no—
993#3217—731no—
994#3214—731no—
995#3214—731no—
996#3212—731no—
997#3212—731no—
998#3205—731no—
999#3205—731no—
1000#3155—731no—
1001#3155—731no—
1002#3136—731no—
1003#3136—731no—
1004#3038—731no—
1005#3036—731no—
1006#3035—731no—
1007C2×#459—731no—
1008#3012—731no—
1009#3012—731no—
1010#3008—731no—
1011#3008—731no—
1012#2925—731no—
1013C73#6083211yescharacteristic, complemented, Sylow
1014C2×H(5,𝔽2)—731no—
1015C2×H(5,𝔽2)—731no—
1016C2×AGL(1,ℤ/8)—731no—
1017C2×AGL(1,ℤ/8)—731no—
1018C2×AGL(1,ℤ/8)—731no—
1019C2×AGL(1,ℤ/8)—731no—
1020C2×#135—731no—
1021C2×#135—731no—
1022C22×D8—731no—
1023C22×D8—731no—
1024#550—1461no—
1025#550—1461no—
1026D42—1461no—
1027D42—1461no—
1028D42—1461no—
1029D42—1461no—
1030D42—1461no—
1031D42—1461no—
1032#544—731no—
1033#542—731no—
1034#542—1461no—
1035#542C2×D7311yescharacteristic, complemented
1036#540—731no—
1037#540—731no—
1038#540—1461no—
1039#538—1461no—
1040#538—1461no—
1041#537—731no—
1042#535—731no—
1043#535—731no—
1044#535—731no—
1045#535—731no—
1046#535—731no—
1047#535—731no—
1048#535—731no—
1049#535C2×D7311yescharacteristic, complemented
1050#532—731no—
1051#532—731no—
1052#532—731no—
1053#532—731no—
1054#532—731no—
1055#532—1461no—
1056C2×#127—731no—
1057C2×#127—731no—
1058C2×#127—731no—
1059#529—731no—
1060#529—731no—
1061#529—1461no—
1062#525—1461no—
1063#525—1461no—
1064C4×#41—731no—
1065C4×#41—731no—
1066C2×C4×D4—731no—
1067#496—731no—
1068#496—731no—
1069#496—731no—
1070#496—731no—
1071#496—731no—
1072#496—731no—
1073#496—731no—
1074#496C2×D7311yescharacteristic, complemented
1075#495—731no—
1076#495—731no—
1077#495—731no—
1078#495C2×D7311yescharacteristic, complemented
1079#493—731no—
1080#493—731no—
1081#493—731no—
1082#493—731no—
1083#490—731no—
1084#490—731no—
1085#490—731no—
1086#490—731no—
1087#489—731no—
1088#489—731no—
1089#489—731no—
1090#489C2×D7311yescharacteristic, complemented
1091#488—731no—
1092#488—731no—
1093#488—731no—
1094#488—731no—
1095#486—731no—
1096#486—731no—
1097#486—731no—
1098#486C2×D7311yescharacteristic, complemented
1099#464—731no—
1100#464C2×D7311yescharacteristic, complemented
1101#463—731no—
1102#463—731no—
1103#463—731no—
1104#463—731no—
1105#463—731no—
1106#463C2×D7311yescharacteristic, complemented
1107#462—731no—
1108#461—731no—
1109#461—731no—
1110#461—731no—
1111#460—731no—
1112#460—731no—
1113#460—731no—
1114#460—731no—
1115#460C2×D7311yescharacteristic, complemented
1116#459—731no—
1117#459—731no—
1118#459—731no—
1119#459—731no—
1120#459—731no—
1121#459—731no—
1122#459—731no—
1123#459—731no—
1124#459—731no—
1125#459—731no—
1126#459—731no—
1127#459—731no—
1128#459—731no—
1129#459—731no—
1130#459C2×D7311yescharacteristic, complemented
1131#452—731no—
1132#452—731no—
1133#452—731no—
1134#452C2×D7311yescharacteristic, complemented
1135#450—731no—
1136#450—731no—
1137#450—731no—
1138#450C2×D7311yescharacteristic, complemented
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#449—731no—
1149#449—731no—
1150#449C2×D7311yescharacteristic, complemented
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#447C2×D7311yescharacteristic, complemented
1163#433—731no—
1164#433—731no—
1165#433—731no—
1166#433C2×D7311yescharacteristic, complemented
1167#432—731no—
1168#432—731no—
1169#431—731no—
1170#431—731no—
1171#423—731no—
1172C2×C4⋊C8—731no—
1173#418—731no—
1174#418—731no—
1175#417—731no—
1176#417—731no—
1177#416—731no—
1178#416—731no—
1179C2×#102—731no—
1180C2×#102—731no—
1181#408—731no—
1182#408—731no—
1183#405—731no—
1184#405—731no—
1185H(5,𝔽2)—2922no—
1186H(5,𝔽2)—2922no—
1187H(5,𝔽2)—2922no—
1188H(5,𝔽2)—2922no—
1189C2×#41—731no—
1190C2×#41—731no—
1191C2×#41—731no—
1192C2×#41—731no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—1461no—
1197C2×#41—1461no—
1198C2×#41—1461no—
1199C2×#41—1461no—
1200C2×#41C22×D7311yescharacteristic
1201C22×D4—731no—
1202C22×D4—731no—
1203C22×D4—731no—
1204C22×D4—731no—
1205C22×D4—731no—
1206C22×D4—731no—
1207C22×D4—1461no—
1208C22×D4—1461no—
1209C22×D4—1461no—
1210C22×D4—1461no—
1211C22×D4—1461no—
1212C22×D4—1461no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4C22×D7311yescharacteristic
1220C23×C4—1461no—
1221AGL(1,ℤ/8)—2922no—
1222AGL(1,ℤ/8)—2922no—
1223AGL(1,ℤ/8)—2922no—
1224AGL(1,ℤ/8)—2922no—
1225#135—2922no—
1226#135—2922no—
1227C2×Q16—731no—
1228C2×Q16C22×D7311yescharacteristic
1229C2×SD16—731no—
1230C2×SD16—731no—
1231C2×SD16—731no—
1232C2×SD16—731no—
1233C2×SD16—731no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16C22×D7311yescharacteristic
1238C2×SD16C22×D7311yescharacteristic
1239C2×SD16C22×D7311yescharacteristic
1240C2×SD16C22×D7311yescharacteristic
1241C2×D8—2922no—
1242C2×D8—2922no—
1243C2×D8—731no—
1244C2×D8—731no—
1245C2×D8—731no—
1246C2×D8—731no—
1247C2×D8—731no—
1248C2×D8—731no—
1249C2×D8—731no—
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×D8C22×D7311yescharacteristic
1259C2×D8C22×D7311yescharacteristic
1260C2×D8C22×D7311yescharacteristic
1261C2×M16—731no—
1262C2×M16—731no—
1263C22×C8—731no—
1264C22×C8—731no—
1265C4⋊Q8—731no—
1266C4⋊Q8—731no—
1267C4⋊Q8—1461no—
1268C4⋊Q8C22×D7311yescharacteristic
1269#127—731no—
1270#127—731no—
1271#127—731no—
1272#127—731no—
1273#127—731no—
1274#127—731no—
1275#127—731no—
1276#127—731no—
1277#127—731no—
1278#127—1461no—
1279#127—1461no—
1280#127—1461no—
1281#127—1461no—
1282#127—1461no—
1283#127—1461no—
1284#127—1461no—
1285#127C22×D7311yescharacteristic
1286#127C22×D7311yescharacteristic
1287#126—21no—
1288#126—1461no—
1289#126—1461no—
1290#126—1461no—
1291#125—731no—
1292#125—731no—
1293#125—1461no—
1294#124—21no—
1295#124—731no—
1296#124—731no—
1297#124—731no—
1298#124—731no—
1299#124—731no—
1300#124—1461no—
1301#124—1461no—
1302#124—1461no—
1303#124—1461no—
1304#124C22×D7311yescharacteristic
1305#124C22×D7311yescharacteristic
1306#124C22×D7311yescharacteristic
1307#123—21no—
1308#123—1461no—
1309#123—1461no—
1310#123—1461no—
1311#123—1461no—
1312#123—1461no—
1313#123—1461no—
1314#123—1461no—
1315C22⋊Q8—21no—
1316C22⋊Q8—731no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8—1461no—
1321C22⋊Q8C22×D7311yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—731no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
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#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#121C22×D7311yescharacteristic
1357#120—21no—
1358#120—21no—
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—
1368#120—1461no—
1369#120—1461no—
1370#120—1461no—
1371#120—1461no—
1372#120—1461no—
1373C4×Q8—731no—
1374C4×Q8—731no—
1375C4×Q8—731no—
1376C4×Q8C22×D7311yescharacteristic
1377C4×D4—731no—
1378C4×D4—731no—
1379C4×D4—731no—
1380C4×D4—731no—
1381C4×D4—731no—
1382C4×D4—731no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—1461no—
1389C4×D4—1461no—
1390C4×D4—1461no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401C4×D4—1461no—
1402C4×D4C22×D7311yescharacteristic
1403#117—731no—
1404#117—731no—
1405#117—731no—
1406#117—1461no—
1407#117—1461no—
1408#117—1461no—
1409#117C22×D7311yescharacteristic
1410C2×C4⋊C4—731no—
1411C2×C22⋊C4—1461no—
1412C2×C42—731no—
1413C2×C42—731no—
1414C2×C42—731no—
1415C2×C42—1461no—
1416C4⋊C8—731no—
1417C4⋊C8—731no—
1418C4⋊C8—731no—
1419C4⋊C8—731no—
1420C4⋊C8—731no—
1421C4⋊C8—731no—
1422C4⋊C8C22×D7311yescharacteristic
1423C4⋊C8C22×D7311yescharacteristic
1424#103—731no—
1425#103—731no—
1426#103—731no—
1427#103—731no—
1428#103—731no—
1429#103—731no—
1430#103C22×D7311yescharacteristic
1431#103C22×D7311yescharacteristic
1432#102—731no—
1433#102—731no—
1434#102—731no—
1435#102—731no—
1436#102—731no—
1437#102—731no—
1438#102—731no—
1439#102—731no—
1440#102—731no—
1441#102—731no—
1442#102—731no—
1443#102—731no—
1444#102—731no—
1445#102—731no—
1446#102—731no—
1447#102—731no—
1448#102—731no—
1449#102—731no—
1450#102C22×D7311yescharacteristic
1451#102C22×D7311yescharacteristic
1452#102C22×D7311yescharacteristic
1453#102C22×D7311yescharacteristic
1454#102C22×D7311yescharacteristic
1455#102C22×D7311yescharacteristic
1456C22⋊C8—731no—
1457C22⋊C8—731no—
1458C22⋊C8—731no—
1459C22⋊C8—731no—
1460C22⋊C8—731no—
1461C22⋊C8—731no—
1462C22⋊C8C22×D7311yescharacteristic
1463C22⋊C8C22×D7311yescharacteristic
1464#97—731no—
1465#97—731no—
1466#97—731no—
1467#97C22×D7311yescharacteristic
1468C4×C8—731no—
1469C4×C8—731no—
1470C4×C8—731no—
1471C4×C8C22×D7311yescharacteristic
1472C24—21no—
1473C24—1461no—
1474C24—1461no—
1475C24—1461no—
1476C24—1461no—
1477C24—1461no—
1478C24—1461no—
1479#41—41no—
1480#41—41no—
1481#41—2921no—
1482#41—2921no—
1483#41—2924no—
1484#41—2924no—
1485#41—2921no—
1486#41—2921no—
1487#41—2921no—
1488#41—2921no—
1489#41—5842no—
1490#41—5842no—
1491#41—1462no—
1492#41—1462no—
1493#41—1462no—
1494#41—1462no—
1495#41—1462no—
1496#41—1462no—
1497#41—1462no—
1498#41—1462no—
1499C2×Q8—21no—
1500C2×Q8—731no—
1501C2×Q8—731no—
1502C2×Q8—1461no—
1503C2×Q8C23×D7311yescharacteristic
1504C2×Q8C23×D7311yescharacteristic
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—2921no—
1515C2×D4—2921no—
1516C2×D4—2924no—
1517C2×D4—2924no—
1518C2×D4—2924no—
1519C2×D4—2924no—
1520C2×D4—2924no—
1521C2×D4—2924no—
1522C2×D4—2921no—
1523C2×D4—2921no—
1524C2×D4—2921no—
1525C2×D4—2921no—
1526C2×D4—5842no—
1527C2×D4—5842no—
1528C2×D4—5842no—
1529C2×D4—5842no—
1530C2×D4—5842no—
1531C2×D4—5842no—
1532C2×D4—731no—
1533C2×D4—731no—
1534C2×D4—731no—
1535C2×D4—731no—
1536C2×D4—731no—
1537C2×D4—731no—
1538C2×D4—731no—
1539C2×D4—731no—
1540C2×D4—1461no—
1541C2×D4—1461no—
1542C2×D4—1461no—
1543C2×D4—1461no—
1544C2×D4—1461no—
1545C2×D4—1462no—
1546C2×D4—1462no—
1547C2×D4—1462no—
1548C2×D4—1462no—
1549C2×D4—1462no—
1550C2×D4—1462no—
1551C2×D4—1461no—
1552C2×D4—1461no—
1553C2×D4—1461no—
1554C2×D4—1461no—
1555C2×D4—1461no—
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×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×D4C23×D7311yescharacteristic
1582C2×D4C23×D7311yescharacteristic
1583C2×D4C23×D7311yescharacteristic
1584C2×D4C23×D7311yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—5842no—
1588C22×C4—731no—
1589C22×C4—731no—
1590C22×C4—731no—
1591C22×C4—731no—
1592C22×C4—731no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—1461no—
1597C22×C4—1461no—
1598C22×C4—1461no—
1599C22×C4—1461no—
1600C22×C4—1461no—
1601C22×C4—1461no—
1602C22×C4—1461no—
1603C22×C4—1461no—
1604C22×C4—1461no—
1605C22×C4—1461no—
1606C22×C4—1461no—
1607C22×C4—1461no—
1608C22×C4C23×D7311yescharacteristic
1609Q16—41no—
1610Q16—2921no—
1611SD16—41no—
1612SD16—41no—
1613SD16—41no—
1614SD16—41no—
1615SD16—2921no—
1616SD16—2921no—
1617SD16—2921no—
1618SD16—2921no—
1619SD16—2921no—
1620SD16—2921no—
1621SD16—2921no—
1622SD16—2921no—
1623D8—41no—
1624D8—41no—
1625D8—41no—
1626D8—2921no—
1627D8—2921no—
1628D8—2921no—
1629D8—2921no—
1630D8—2921no—
1631D8—2921no—
1632D8—2921no—
1633D8—2921no—
1634D8—2921no—
1635D8—2921no—
1636D8—2921no—
1637D8—2921no—
1638D8—2921no—
1639D8—2921no—
1640D8—2921no—
1641M16—1462no—
1642M16—1462no—
1643C2×C8—731no—
1644C2×C8—731no—
1645C2×C8—731no—
1646C2×C8—731no—
1647C2×C8—1462no—
1648C2×C8—1462no—
1649C2×C8C23×D7311yescharacteristic
1650C2×C8C23×D7311yescharacteristic
1651C2×C8C23×D7311yescharacteristic
1652C2×C8C23×D7311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—21no—
1656C4⋊C4—731no—
1657C4⋊C4—731no—
1658C4⋊C4—731no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—1461no—
1663C4⋊C4—1461no—
1664C4⋊C4—1461no—
1665C4⋊C4—1461no—
1666C4⋊C4—1461no—
1667C4⋊C4—1461no—
1668C4⋊C4—1461no—
1669C4⋊C4—1461no—
1670C4⋊C4—1461no—
1671C4⋊C4—1461no—
1672C4⋊C4D4×D7311yescharacteristic
1673C4⋊C4D4×D7311yescharacteristic
1674C4⋊C4C23×D7311yescharacteristic
1675C4⋊C4C23×D7311yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—731no—
1686C22⋊C4—731no—
1687C22⋊C4—731no—
1688C22⋊C4—731no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C22⋊C4—1461no—
1702C22⋊C4—1461no—
1703C22⋊C4—1461no—
1704C22⋊C4—1461no—
1705C22⋊C4—1461no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4D4×D7311yescharacteristic
1712C22⋊C4D4×D7311yescharacteristic
1713C42—21no—
1714C42—731no—
1715C42—731no—
1716C42—731no—
1717C42—731no—
1718C42—731no—
1719C42—731no—
1720C42—731no—
1721C42—731no—
1722C42—1461no—
1723C42—1461no—
1724C42C23×D7311yescharacteristic
1725C42C23×D7311yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—42no—
1731C23—81no—
1732C23—81no—
1733C23—2922no—
1734C23—2922no—
1735C23—2922no—
1736C23—2922no—
1737C23—2922no—
1738C23—2922no—
1739C23—5841no—
1740C23—5841no—
1741C23—5841no—
1742C23—5841no—
1743C23—5841no—
1744C23—5841no—
1745C23—5841no—
1746C23—5841no—
1747C23—5841no—
1748C23—5841no—
1749C23—5841no—
1750C23—5841no—
1751C23—731no—
1752C23—731no—
1753C23—1461no—
1754C23—1461no—
1755C23—1461no—
1756C23—1461no—
1757C23—1461no—
1758C23C2×D4×D7311yescharacteristic
1759Q8—21no—
1760Q8—21no—
1761Q8—21no—
1762Q8—21no—
1763Q8—81no—
1764Q8—5841no—
1765Q8—1462no—
1766Q8—1461no—
1767Q8—1461no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—21no—
1776D4—42no—
1777D4—42no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—2922no—
1784D4—2922no—
1785D4—2922no—
1786D4—2922no—
1787D4—2922no—
1788D4—2922no—
1789D4—2922no—
1790D4—2922no—
1791D4—2922no—
1792D4—2922no—
1793D4—2922no—
1794D4—2922no—
1795D4—2922no—
1796D4—2922no—
1797D4—2922no—
1798D4—2922no—
1799D4—2922no—
1800D4—2922no—
1801D4—5841no—
1802D4—5841no—
1803D4—5841no—
1804D4—5841no—
1805D4—5841no—
1806D4—5841no—
1807D4—5841no—
1808D4—5841no—
1809D4—5841no—
1810D4—5841no—
1811D4—5841no—
1812D4—5841no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—1462no—
1819D4—1462no—
1820D4—1462no—
1821D4—1461no—
1822D4—1461no—
1823D4—1461no—
1824D4—1461no—
1825D4—1461no—
1826D4—1461no—
1827D4—1461no—
1828D4—1461no—
1829D4—1461no—
1830D4—1461no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—42no—
1838C2×C4—81no—
1839C2×C4—2922no—
1840C2×C4—2921no—
1841C2×C4—2921no—
1842C2×C4—2922no—
1843C2×C4—2922no—
1844C2×C4—2922no—
1845C2×C4—2922no—
1846C2×C4—2922no—
1847C2×C4—2922no—
1848C2×C4—2922no—
1849C2×C4—2922no—
1850C2×C4—2921no—
1851C2×C4—5841no—
1852C2×C4—5841no—
1853C2×C4—5841no—
1854C2×C4—731no—
1855C2×C4—731no—
1856C2×C4—732no—
1857C2×C4—732no—
1858C2×C4—731no—
1859C2×C4—731no—
1860C2×C4—731no—
1861C2×C4—731no—
1862C2×C4—1462no—
1863C2×C4—1462no—
1864C2×C4—1461no—
1865C2×C4—1461no—
1866C2×C4—1461no—
1867C2×C4—1462no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4C2×D4×D7311yescharacteristic
1871C2×C4C2×D4×D7311yescharacteristic
1872C2×C4C2×D4×D7311yescharacteristic
1873C2×C4C2×D4×D7311yescharacteristic
1874C2×C4C2×D4×D7311yescharacteristic
1875C2×C4C24×D7311yescharacteristic
1876C8—21no—
1877C8—21no—
1878C8—21no—
1879C8—21no—
1880C8—1461no—
1881C8—1461no—
1882C8—1461no—
1883C8—1461no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—162no—
1900C22—2921no—
1901C22—2921no—
1902C22—2921no—
1903C22—2921no—
1904C22—2921no—
1905C22—2921no—
1906C22—2921no—
1907C22—2921no—
1908C22—2921no—
1909C22—2921no—
1910C22—2921no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—5844no—
1916C22—732no—
1917C22—11682no—
1918C22—11682no—
1919C22—11682no—
1920C22—11682no—
1921C22—11682no—
1922C22—1461no—
1923C22—1461no—
1924C22—1461no—
1925C22—1461no—
1926C22—1461no—
1927C22C22×D4×D7311yescharacteristic
1928C4—21no—
1929C4—21no—
1930C4—21no—
1931C4—21no—
1932C4—21no—
1933C4—41no—
1934C4—41no—
1935C4—41no—
1936C4—41no—
1937C4—2921no—
1938C4—2921no—
1939C4—2921no—
1940C4—732no—
1941C4—732no—
1942C4—1461no—
1943C4—1461no—
1944C4—1461no—
1945C4—1461no—
1946C4H(5,𝔽2)×D7311yescharacteristic
1947C4H(5,𝔽2)×D7311yescharacteristic
1948C2—41no—
1949C2—81no—
1950C2—81no—
1951C2—81no—
1952C2—81no—
1953C2—2921no—
1954C2—5841no—
1955C2—5841no—
1956C2—5841no—
1957C2—5841no—
1958C2—5841no—
1959C2—1462no—
1960C2#535×D7311yescharacteristic
1961C2#576×D7311yescharacteristic
1962C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3224C2
socleC22×C73C23×D4
hypercenter#3224D73
hypocenterC73#60832
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22623706C2semidirect
2. #22623351C2semidirect
3. #22621032C2semidirect
4. #22621030C2semidirect
5. #22621019C2semidirect
6. #22620983C2semidirect
7. #22620981C2semidirect
8. #22620980C2semidirect
9. #22620978C2semidirect
10. #22620952C2semidirect
11. #22620945C2semidirect
12. #22620927C2semidirect
13. #22620923C2semidirect
14. #22620910C2semidirect
15. #22620902C2semidirect
16. #22620850C2semidirect
17. #22620847C2semidirect
18. #22620415C2semidirect
19. #22620413C2semidirect
20. #22620282C2semidirect
21. #22620280C2semidirect
22. #22619408C2semidirect
23. #22619393C2semidirect
24. #22619385C2semidirect
25. #459×D73C2semidirect
26. #22619239C2semidirect
27. #22619236C2semidirect
28. #22619196C2semidirect
29. #22619194C2semidirect
30. #22618594C2semidirect
31. C73×#3224C2semidirect
34. C2×#14556618C22semidirect
35. C2×#14556618C22semidirect
36. C2×#14556618C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556614C22semidirect
39. C2×#14556612C22semidirect
40. C2×D8×D73C22semidirect
41. C2×D8×D73C22semidirect
50. #17989214C22semidirect
51. #17989209C22semidirect
53. #17989192C22semidirect
55. #17989188C22semidirect
59. #17989156C22semidirect
61. #17989155C22semidirect
62. #17989155C22semidirect
65. #17989150C22semidirect
66. #17989138C22semidirect
69. #17989136C22semidirect
70. #17989133C22semidirect
71. #17989132C22semidirect
72. C2×#14556587C22semidirect
74. #127×D73C22semidirect
75. #17989123C22semidirect
77. #17989116C22semidirect
80. C4×#11924029C22semidirect
82. C4×D4×D73C22semidirect
83. #17988977C22semidirect
84. #17988977C22semidirect
85. #17988976C22semidirect
86. #17988975C22semidirect
87. #17988973C22semidirect
88. #17988973C22semidirect
89. #17988973C22semidirect
90. #17988972C22semidirect
91. #17988969C22semidirect
92. #17988968C22semidirect
93. #17988964C22semidirect
94. #17988963C22semidirect
95. #17988962C22semidirect
96. #17988962C22semidirect
97. #17988952C22semidirect
98. #17988951C22semidirect
99. #17988950C22semidirect
100. #17988950C22semidirect
101. #17988949C22semidirect
102. #17988948C22semidirect
103. #17988945C22semidirect
104. #17988943C22semidirect
105. #17988942C22semidirect
106. #17988941C22semidirect
107. #17988940C22semidirect
108. #17988935C22semidirect
109. #17988932C22semidirect
110. #17988932C22semidirect
111. #17988809C22semidirect
112. #17988803C22semidirect
113. #17988803C22semidirect
114. #17988802C22semidirect
115. #17988799C22semidirect
116. #17988799C22semidirect
117. #17988795C22semidirect
118. #17988791C22semidirect
119. #17988791C22semidirect
120. #17988790C22semidirect
121. #17988787C22semidirect
122. #17988785C22semidirect
123. #17988785C22semidirect
124. #17988785C22semidirect
125. #17988783C22semidirect
126. #17988783C22semidirect
127. #17988782C22semidirect
128. #17988781C22semidirect
129. #17988781C22semidirect
130. #17988781C22semidirect
131. #17988781C22semidirect
132. #17988781C22semidirect
133. #17988781C22semidirect
134. #17988780C22semidirect
135. #17988780C22semidirect
136. #17988780C22semidirect
137. #17988779C22semidirect
138. #17988779C22semidirect
139. #17988748C22semidirect
140. #17988747C22semidirect
141. #17988746C22semidirect
142. #17988737C22semidirect
143. #17988736C22semidirect
144. #17988736C22semidirect
145. #17988735C22semidirect
146. #17988735C22semidirect
147. #17988734C22semidirect
148. #17988734C22semidirect
149. #17988733C22semidirect
150. #17988733C22semidirect
151. #17988732C22semidirect
152. #17988732C22semidirect
153. #17988731C22semidirect
154. #17988730C22semidirect
155. #17988729C22semidirect
156. #17988723C22semidirect
157. #17988723C22semidirect
158. #17988722C22semidirect
159. #17988722C22semidirect
160. #17988722C22semidirect
161. #17988722C22semidirect
162. #17988721C22semidirect
163. #17988721C22semidirect
164. #17988720C22semidirect
165. #17988719C22semidirect
166. #17988719C22semidirect
167. #17988648C22semidirect
168. #17988647C22semidirect
169. #17988647C22semidirect
170. #17988642C22semidirect
171. #17988641C22semidirect
172. #17988638C22semidirect
173. #17988637C22semidirect
174. #17988609C22semidirect
175. C4⋊C8×D73C22semidirect
176. #17988590C22semidirect
177. #17988590C22semidirect
178. #17988587C22semidirect
179. #17988585C22semidirect
180. #17988582C22semidirect
181. #17988580C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
186. #17988544C22semidirect
187. #17988541C22semidirect
188. #542×C73C22semidirect
189. #535×C73C22semidirect
190. #496×C73C22semidirect
191. #495×C73C22semidirect
192. #489×C73C22semidirect
193. #486×C73C22semidirect
194. #464×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #459×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #447×C73C22semidirect
202. #433×C73C22semidirect
987. #3224D73semidirect
1013. C73#60832semidirect
1035. #542C2×D73semidirect
1049. #535C2×D73semidirect
1074. #496C2×D73semidirect
1078. #495C2×D73semidirect
1090. #489C2×D73semidirect
1098. #486C2×D73semidirect
1100. #464C2×D73semidirect
1106. #463C2×D73semidirect
1115. #460C2×D73semidirect
1130. #459C2×D73semidirect
1134. #452C2×D73semidirect
1138. #450C2×D73semidirect
1150. #449C2×D73semidirect
1162. #447C2×D73semidirect
1166. #433C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237062
#226233512
#226210322
#226210302
#226210192
#226209832
#226209812
#226209802
#226209782
#226209522
#226209452
#226209272
#226209232
#226209102
#226209022
#226208502
#226208472
#226204152
#226204132
#226202822
#226202802
#226194082
#226193932
#226193852
#459×D732
#226192392
#226192362
#226191962
#226191942
#226185942
C73×#32242
#6083273