Finite Group Databasebeta

← #33971610

Subgroups — #33971610

Order 18688.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624250C211yesmaximal, characteristic, complemented
2#22623581C211yesmaximal, characteristic, complemented
3#22622223C211yesmaximal, characteristic, complemented
4#22622178C211yesmaximal, characteristic, complemented
5#22622118C211yesmaximal, characteristic, complemented
6#22621981C211yesmaximal, characteristic, complemented
7#22621925C211yesmaximal, characteristic, complemented
8#22621815C211yesmaximal, characteristic, complemented
9#22621792C211yesmaximal, characteristic, complemented
10#22621645C211yesmaximal, characteristic, complemented
11#22621630C211yesmaximal, characteristic, complemented
12#22621593C211yesmaximal, characteristic, complemented
13#22621565C211yesmaximal, characteristic, complemented
14#22621521C211yesmaximal, characteristic, complemented
15#22621448C211yesmaximal, characteristic, complemented
16#22621444C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22621039C211yesmaximal, characteristic, complemented
19#22620993C211yesmaximal, characteristic, complemented
20#22620818C211yesmaximal, characteristic, complemented
21#22620797C211yesmaximal, characteristic, complemented
22#22620746C211yesmaximal, characteristic, complemented
23#22620726C211yesmaximal, characteristic, complemented
24#22620224C211yesmaximal, characteristic, complemented
25#22620158C211yesmaximal, characteristic, complemented
26#22619251C211yesmaximal, characteristic, complemented
27#22619212C211yesmaximal, characteristic, complemented
28#22619167C211yesmaximal, characteristic, complemented
29#448×D73C211yesmaximal, characteristic, complemented
30#22618978C211yesmaximal, characteristic, complemented
31C73×#3320C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic, complemented
33C22×Q8×D73C2211yescharacteristic, complemented
34C2×#14556624C2211yescharacteristic, complemented
35C2×#14556622C2211yescharacteristic, complemented
36C2×#14556622C2211yescharacteristic, complemented
37C2×#14556618C2211yescharacteristic, complemented
38C2×#14556613C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic
40C2×SD16×D73C2211yescharacteristic
41C2×SD16×D73C2211yescharacteristic, complemented
42#17989334—21no—
43#17989325—21no—
44#17989300C2211yescharacteristic
45#17989275C2211yescharacteristic
46#17989262—21no—
47#17989258C2211yescharacteristic
48#17989252—21no—
49#17989252C2211yescharacteristic
50Q8×C22⋊D73C2211yescharacteristic, complemented
51#17989250—21no—
52#17989250C2211yescharacteristic, complemented
53#17989249C2211yescharacteristic
54#17989248C2211yescharacteristic, complemented
55#17989247—21no—
56#17989247C2211yescharacteristic, complemented
57#17989246—21no—
58#17989246C2211yescharacteristic, complemented
59#17989238C2211yescharacteristic
60#17989234C2211yescharacteristic
61#17989234C2211yescharacteristic
62#17989233—21no—
63D4×D292C2211yescharacteristic
64#17989202C2211yescharacteristic
65#17989193C2211yescharacteristic
66#17989188—21no—
67#17989176—21no—
68#17989168C2211yescharacteristic
69#17989162—21no—
70#17989162C2211yescharacteristic, complemented
71#17989160—21no—
72#17989160C2211yescharacteristic, complemented
73#17989153—21no—
74#17989153C2211yescharacteristic
75#17989148—21no—
76#17989100—21no—
77#17989100C2211yescharacteristic, complemented
78#17989099C2211yescharacteristic
79#17989096—21no—
80#17989096C2211yescharacteristic
81#121×D73C2211yescharacteristic
82#17989063C2211yescharacteristic, complemented
83#17988978C2211yescharacteristic, complemented
84#17988976C2211yescharacteristic, complemented
85#17988968C2211yescharacteristic, complemented
86#17988961C2211yescharacteristic, complemented
87#17988948C2211yescharacteristic, complemented
88#17988944C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988931C2211yescharacteristic, complemented
91#17988930C2211yescharacteristic, complemented
92#17988926C2211yescharacteristic, complemented
93#17988917C2211yescharacteristic, complemented
94#17988916C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988913C2211yescharacteristic, complemented
97#17988911C2211yescharacteristic, complemented
98#17988910C2211yescharacteristic
99#17988902C2211yescharacteristic, complemented
100#17988891C2211yescharacteristic, complemented
101#17988881C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988844C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic
106#17988835C2211yescharacteristic, complemented
107#17988835C2211yescharacteristic, complemented
108#17988834C2211yescharacteristic, complemented
109#17988831C2211yescharacteristic, complemented
110#17988829C2211yescharacteristic, complemented
111#17988827C2211yescharacteristic, complemented
112#17988824C2211yescharacteristic
113#17988819C2211yescharacteristic
114#17988819C2211yescharacteristic, complemented
115#17988817C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988805C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988794C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988791C2211yescharacteristic, complemented
126#17988788C2211yescharacteristic, complemented
127#17988787C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988747C2211yescharacteristic, complemented
132#17988747C2211yescharacteristic, complemented
133#17988744C2211yescharacteristic, complemented
134#17988744C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988744C2211yescharacteristic, complemented
138#17988739C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic
140#17988736C2211yescharacteristic, complemented
141#17988735C2211yescharacteristic, complemented
142#17988735C2211yescharacteristic, complemented
143#17988735C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988734C2211yescharacteristic, complemented
146#17988731C2211yescharacteristic
147#17988730C2211yescharacteristic, complemented
148#17988728C2211yescharacteristic, complemented
149#17988727C2211yescharacteristic
150#17988727C2211yescharacteristic
151#17988727C2211yescharacteristic, complemented
152#17988727C2211yescharacteristic, complemented
153#17988727C2211yescharacteristic, complemented
154#17988727C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988726C2211yescharacteristic, complemented
157#17988726C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic
159#17988724C2211yescharacteristic
160#17988724C2211yescharacteristic
161#17988722C2211yescharacteristic
162#17988695C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164#17988686C2211yescharacteristic, complemented
165C4×#11924018C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168#17988672C2211yescharacteristic, complemented
169#17988665C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic, complemented
176#17988649C2211yescharacteristic, complemented
177#17988647C2211yescharacteristic, complemented
178#17988595C2211yescharacteristic, complemented
179#17988594C2211yescharacteristic, complemented
180#17988586C2211yescharacteristic, complemented
181#17988582C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#103×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188#553×C73C2211yescharacteristic
189D4×Q8×C73C2211yescharacteristic, complemented
190#491×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#479×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#448×C73C2211yescharacteristic
198#448×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#419×C73C2211yescharacteristic, complemented
202C2×#103×C73C2211yescharacteristic, complemented
203#14556639—42no—
204#14556639—42no—
205C2×#11924029—21no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924028C2311yescharacteristic
214C2×#11924028C2311yescharacteristic
215C22×Dic146—21no—
216C22×Dic146C2311yescharacteristic
217C2×Q8×D73—21no—
218C2×Q8×D73—21no—
219C2×Q8×D73—21no—
220C2×Q8×D73—42no—
221C2×Q8×D73—42no—
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C22×D292—21no—
228C2×D4×D73—21no—
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C22×C4×D73—21no—
232C22×C4×D73C2311yescharacteristic
233#14556624—42no—
234#14556622—42no—
235#14556622—42no—
236#14556618—42no—
237#14556613—42no—
238C2×Dic292C2311yescharacteristic
239C2×Dic292C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924018C2311yescharacteristic
242C2×#11924018C2311yescharacteristic
243C2×#11924017C2311yescharacteristic
244C2×#11924017C2311yescharacteristic
245C2×#11924017C2311yescharacteristic
246C2×#11924017C2311yescharacteristic
247C2×#11924017C2311yescharacteristic
248C2×#11924016C2311yescharacteristic
249C2×#11924016C2311yescharacteristic
250C2×#11924015C2311yescharacteristic
251C2×#11924015C2311yescharacteristic
252C2×#11924015C2311yescharacteristic
253C2×#11924015C2311yescharacteristic
254C2×#11924015C2311yescharacteristic
255C2×#11924015C2311yescharacteristic
256SD16×D73—42no—
257SD16×D73—42no—
258SD16×D73—42no—
259C2×D584C2311yescharacteristic
260C2×D584C2311yescharacteristic
261C2×#11924013C2311yescharacteristic
262C2×#11924012C2311yescharacteristic
263C2×#11924012C2311yescharacteristic
264C2×#11924011C2311yescharacteristic
265C2×C8×D73C2311yescharacteristic
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268#14556590—21no—
269#14556590—21no—
270#14556590—21no—
271#14556590C2311yescharacteristic
272#14556589—21no—
273#14556589C2311yescharacteristic
274#14556588C2311yescharacteristic
275#14556587—21no—
276#14556587—21no—
277#14556586—21no—
278#14556584—21no—
279#14556582—21no—
280#14556580—21no—
281#14556580C2311yescharacteristic
282#14556579—21no—
283#14556579—21no—
284#14556579C2311yescharacteristic
285#14556578C2311yescharacteristic
286#14556577—21no—
287#14556577—21no—
288#14556577—21no—
289#14556577—21no—
290#14556577—21no—
291#14556577—21no—
292#14556576—21no—
293#14556576—21no—
294#14556576—21no—
295#14556576—21no—
296#14556576—21no—
297#14556576—21no—
298#14556576—21no—
299#14556576—21no—
300#14556576D411yescharacteristic
301#14556575—21no—
302#14556574—21no—
303#14556574—21no—
304#14556573—21no—
305#14556573—21no—
306#14556573—21no—
307#14556573D411yescharacteristic
308#14556571—21no—
309#14556571—21no—
310#14556571C2311yescharacteristic
311#14556571C2311yescharacteristic
312#14556571C2311yescharacteristic
313#14556571C2311yescharacteristic
314#14556570—21no—
315#14556570—21no—
316#14556570C2311yescharacteristic
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556569—21no—
323#14556569—21no—
324#14556569—21no—
325#14556569D411yescharacteristic
326#14556568—21no—
327#14556568D411yescharacteristic
328#14556567—21no—
329#14556567—21no—
330#14556567C2311yescharacteristic
331#14556567C2311yescharacteristic
332#14556566—21no—
333#14556566—21no—
334#14556566—21no—
335#14556566—21no—
336#14556566C2311yescharacteristic
337#14556566C2311yescharacteristic
338#14556566C2311yescharacteristic
339#14556566C2311yescharacteristic
340#14556566C2311yescharacteristic
341#14556565—21no—
342#14556565—21no—
343#14556565—21no—
344#14556565—21no—
345#14556565C2311yescharacteristic
346#14556565C2311yescharacteristic
347#14556565C2311yescharacteristic
348#14556564—21no—
349#14556564—21no—
350#14556564—21no—
351#14556564—21no—
352#14556564—21no—
353#14556564D411yescharacteristic
354#14556563—21no—
355#14556563—21no—
356#14556563D411yescharacteristic
357#14556562—21no—
358#14556562—21no—
359#14556562C2311yescharacteristic
360#14556561—21no—
361#14556561—21no—
362#14556561—21no—
363#14556561—21no—
364#14556561—21no—
365#14556561D411yescharacteristic
366#14556559—21no—
367#14556559—21no—
368#14556559—21no—
369#14556559D411yescharacteristic
370Q8×Dic73C2311yescharacteristic
371C4×Dic146—21no—
372C4×Dic146C2311yescharacteristic
373C4×Dic146C2311yescharacteristic
374#14556556—21no—
375#14556556C2311yescharacteristic
376C4×D292—21no—
377C4×D292—21no—
378C4×D292—21no—
379C4×D292C2311yescharacteristic
380#14556553—21no—
381#14556553—21no—
382#14556553—21no—
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#14556549—21no—
394#14556549—21no—
395#14556549C2311yescharacteristic
396#14556549C2311yescharacteristic
397#14556548—21no—
398#14556548—21no—
399#14556548C2311yescharacteristic
400C4⋊C4×D73C2311yescharacteristic
401C22⋊C4×D73—21no—
402C22⋊C4×D73—21no—
403C22⋊C4×D73—21no—
404#14556524C2311yescharacteristic
405#14556524C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409C4⋊#10596831C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556520C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556512C2311yescharacteristic
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×Q8×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449C2×SD16×C73C2311yescharacteristic
450C2×SD16×C73C2311yescharacteristic
451C2×SD16×C73C2311yescharacteristic
452C2×M16×C73C2311yescharacteristic
453C22×C8×C73C2311yescharacteristic
454C4⋊Q8×C73—21no—
455C4⋊Q8×C73C2311yescharacteristic
456#126×C73—21no—
457#125×C73C2311yescharacteristic
458#123×C73—21no—
459C22⋊Q8×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466C4×Q8×C73C2311yescharacteristic
467C4×D4×C73—21no—
468C4×D4×C73—21no—
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471#117×C73C2311yescharacteristic
472C2×C4⋊C4×C73C2311yescharacteristic
473#107×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#106×C73C2311yescharacteristic
476C4⋊C8×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#103×C73C2311yescharacteristic
485#103×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73C2×D411yescharacteristic
493#11924029—22no—
494#11924029—41no—
495#11924029—41no—
496#11924029—41no—
497#11924029—44no—
498#11924028—22no—
499#11924028—41no—
500#11924028—44no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924028—44no—
508#11924028—82no—
509C2×Dic146—21no—
510C2×Dic146—22no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—41no—
518C2×Dic146—44no—
519C2×Dic146C2×D411yescharacteristic
520C2×Dic146C2411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523Q8×D73—22no—
524Q8×D73—22no—
525Q8×D73—22no—
526Q8×D73—22no—
527Q8×D73—22no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—41no—
532Q8×D73—41no—
533Q8×D73—44no—
534Q8×D73—44no—
535Q8×D73—44no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—21no—
539C2×D292—21no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292—21no—
544C2×D292—21no—
545C2×D292—82no—
546C2×D292C2×D411yescharacteristic
547C2×D292C2×D411yescharacteristic
548C2×D292C2411yescharacteristic
549C2×D292C2411yescharacteristic
550C2×D292C2411yescharacteristic
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⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563C2×C22⋊D73C2×D411yescharacteristic
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—41no—
568D4×D73—82no—
569C22×Dic73—21no—
570C22×Dic73C2×D411yescharacteristic
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—41no—
585C2×C4×D73—41no—
586C2×C4×D73—44no—
587C2×C4×D73C2×D411yescharacteristic
588C2×C4×D73C2×D411yescharacteristic
589C2×C4×D73C2411yescharacteristic
590C2×C4×D73C2411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592Dic292—22no—
593Dic292—41no—
594#11924018—22no—
595#11924018—41no—
596#11924018—41no—
597#11924017—22no—
598#11924017—22no—
599#11924017—41no—
600#11924017—41no—
601#11924017—41no—
602#11924016—22no—
603#11924016—41no—
604#11924015—22no—
605#11924015—22no—
606#11924015—41no—
607#11924015—41no—
608#11924015—41no—
609#11924015—41no—
610D584—41no—
611D584—41no—
612#11924013—41no—
613#11924012—41no—
614#11924012—41no—
615#11924011—41no—
616C2×#10596831C2411yescharacteristic
617C2×#10596831C2411yescharacteristic
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C8×D73—41no—
621C8×D73—41no—
622C8×D73—41no—
623C4⋊Dic73—21no—
624C4⋊Dic73—21no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73C2×D411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007—21no—
640#11924007—21no—
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
643#11924007C2×D411yescharacteristic
644#11924007C2×D411yescharacteristic
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73C2×D411yescharacteristic
650C22⋊Dic73C2×D411yescharacteristic
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005—21no—
667#11924005—21no—
668#11924005—21no—
669#11924005—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678#11924005C2×D411yescharacteristic
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73—21no—
682C4×Dic73—21no—
683C4×Dic73—21no—
684C4×Dic73—21no—
685C4×Dic73C2411yescharacteristic
686C2×Q8×C73—21no—
687C2×Q8×C73—21no—
688C2×Q8×C73—22no—
689C2×Q8×C73—22no—
690C2×Q8×C73—41no—
691C2×Q8×C73—41no—
692C2×Q8×C73C2411yescharacteristic
693C2×Q8×C73C2411yescharacteristic
694C2×Q8×C73C2411yescharacteristic
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73C2×D411yescharacteristic
698C2×D4×C73C2411yescharacteristic
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73—21no—
703C22×C4×C73C2411yescharacteristic
704C22×C4×C73C2411yescharacteristic
705SD16×C73—22no—
706SD16×C73—41no—
707SD16×C73—41no—
708M16×C73—41no—
709C2×C8×C73—41no—
710C2×C8×C73C2411yescharacteristic
711C2×C8×C73C2411yescharacteristic
712C2×C8×C73C2411yescharacteristic
713C2×C8×C73C2411yescharacteristic
714C4⋊C4×C73—21no—
715C4⋊C4×C73—21no—
716C4⋊C4×C73—21no—
717C4⋊C4×C73—21no—
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73C2×D411yescharacteristic
734C22⋊C4×C73C2×D411yescharacteristic
735C42×C73—21no—
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73C22×D411yescharacteristic
740C23×C73C22×D411yescharacteristic
741C22×D73—22no—
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—42no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—42no—
762Q8×C73—42no—
763Q8×C73H(5,𝔽2)12yes—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—41no—
767D4×C73—81no—
768D4×C73—81no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—21no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—42no—
781C2×C4×C73—42no—
782C2×C4×C73—81no—
783C2×C4×C73—81no—
784C2×C4×C73C22×D411yescharacteristic
785C2×C4×C73C22×D411yescharacteristic
786C2×C4×C73C22×D411yescharacteristic
787C2×C4×C73C22×D411yescharacteristic
788C2×C4×C73C2511yescharacteristic
789C22⋊D73—22no—
790C22⋊D73—41no—
791C22⋊D73—41no—
792C22⋊D73—41no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—81no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C2×Dic73—21no—
803C2×Dic73—21no—
804C2×Dic73—21no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—41no—
808C2×Dic73—42no—
809C2×Dic73C22×D411yescharacteristic
810C2×Dic73C22×D411yescharacteristic
811C2×Dic73C22×D411yescharacteristic
812C2×Dic73C22×D411yescharacteristic
813C2×Dic73C22×D411yescharacteristic
814D292—22no—
815D292—21no—
816D292—21no—
817D292—21no—
818D292—21no—
819D292—21no—
820D292—21no—
821D292—41no—
822D292—42no—
823D292—42no—
824D292—42no—
825D292—42no—
826D292—81no—
827D292—81no—
828D292—81no—
829D292—81no—
830D292—81no—
831C4×D73—24no—
832C4×D73—21no—
833C4×D73—21no—
834C4×D73—21no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—41no—
839C4×D73—41no—
840C4×D73—42no—
841C4×D73—42no—
842C4×D73—42no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—81no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852Dic146—24no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—21no—
858Dic146—41no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863Dic146—42no—
864Dic146—81no—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73C23×D411yescharacteristic
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—44no—
893C2×D73—41no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—162no—
903C2×D73—162no—
904C2×D73#57712yes—
905C4×C73—21no—
906C4×C73—22no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917C4×C73C2×H(5,𝔽2)11yescharacteristic
918Dic73—21no—
919Dic73—21no—
920Dic73—22no—
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61611—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—41no—
931C2×C73—81no—
932C2×C73#348411yescharacteristic
933C2×C73C2×#57711yescharacteristic
934C2×C73#358611yescharacteristic
935D73—22no—
936D73—41no—
937D73—41no—
938D73—81no—
939D73—81no—
940D73—81no—
941#3542—731no—
942#3486—731no—
943#3329—731no—
944#3326—731no—
945#3321—731no—
946#3320D7311yescharacteristic, complemented
947#3312—731no—
948#3308—731no—
949#3300—731no—
950#3298—731no—
951#3282—731no—
952D4×SD16—731no—
953#3278—731no—
954#3275—731no—
955#3271—731no—
956#3266—731no—
957#3266—731no—
958#3265—731no—
959#3225—731no—
960#3221—731no—
961#3201—731no—
962#3200—731no—
963#3194—731no—
964#3191—731no—
965#3126—731no—
966#3121—731no—
967#3013—731no—
968#3010—731no—
969#3004—731no—
970C2×#448—731no—
971#2976—731no—
972C73#6161111yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C23×Q8—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×AGL(1,ℤ/8)—731no—
979C2×#135—731no—
980C22×SD16—731no—
981C22×SD16—731no—
982C22×SD16—731no—
983#562—1461no—
984#560—1461no—
985#555—731no—
986#553C2×D7311yescharacteristic
987#552—731no—
988#551—1461no—
989#550—731no—
990D4×Q8—731no—
991D4×Q8—731no—
992D4×Q8—731no—
993D4×Q8—1461no—
994D4×Q8—1461no—
995D4×Q8C2×D7311yescharacteristic, complemented
996#548—731no—
997#548—731no—
998#548—731no—
999#548—731no—
1000#548—1461no—
1001#548—1461no—
1002#547—731no—
1003#546—731no—
1004#546—731no—
1005#546—1461no—
1006D42—731no—
1007#542—731no—
1008#540—731no—
1009#540—1461no—
1010#538—1461no—
1011#537—731no—
1012#536—731no—
1013#536—731no—
1014#536—1461no—
1015#536—1461no—
1016#535—731no—
1017#535—1461no—
1018#534—1461no—
1019#525—731no—
1020#525—731no—
1021#525—731no—
1022#525—1461no—
1023#525—1461no—
1024C2×#121—731no—
1025#519—731no—
1026#497—731no—
1027#496—731no—
1028#495—731no—
1029#492—731no—
1030#491C2×D7311yescharacteristic, complemented
1031#489—731no—
1032#488—731no—
1033#487—731no—
1034#485—731no—
1035#485—731no—
1036#485—731no—
1037#485C2×D7311yescharacteristic, complemented
1038#484C2×D7311yescharacteristic, complemented
1039#483—731no—
1040#483—731no—
1041#482—731no—
1042#482—731no—
1043#482—731no—
1044#482—731no—
1045#480—731no—
1046#479—731no—
1047#479C2×D7311yescharacteristic, complemented
1048#477—731no—
1049#475—731no—
1050#470—731no—
1051#469—731no—
1052#469—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468C2×D7311yescharacteristic
1058#467—731no—
1059#467—731no—
1060#466—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465C2×D7311yescharacteristic, complemented
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#462—731no—
1073#461—731no—
1074#461—731no—
1075#461C2×D7311yescharacteristic, complemented
1076#460—731no—
1077#460—731no—
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#451—731no—
1084#451—731no—
1085#451—731no—
1086#451—731no—
1087#451—731no—
1088#450—731no—
1089#450—731no—
1090#450—731no—
1091#449—731no—
1092#449—731no—
1093#449—731no—
1094#449—731no—
1095#449—731no—
1096#449—731no—
1097#449—731no—
1098#448—731no—
1099#448—731no—
1100#448—731no—
1101#448—731no—
1102#448—731no—
1103#448—731no—
1104#448—731no—
1105#448—731no—
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448C2×D7311yescharacteristic
1112#448C2×D7311yescharacteristic, complemented
1113#447—731no—
1114#441—731no—
1115#440—731no—
1116#440—731no—
1117#440C2×D7311yescharacteristic, complemented
1118C4×Q16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic, complemented
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#419—731no—
1133#419—731no—
1134#419C2×D7311yescharacteristic, complemented
1135#417—731no—
1136#416—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#103C2×D7311yescharacteristic, complemented
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—731no—
1147C2×#41—731no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—1461no—
1153C2×#41—1461no—
1154C2×#41—1461no—
1155C2×#41—1461no—
1156C22×Q8—2922no—
1157C22×Q8—2922no—
1158C22×Q8—731no—
1159C22×Q8—731no—
1160C22×Q8—731no—
1161C22×Q8—731no—
1162C22×Q8—731no—
1163C22×Q8—731no—
1164C22×Q8—1461no—
1165C22×Q8—1461no—
1166C22×Q8—1461no—
1167C22×Q8—1461no—
1168C22×Q8C22×D7311yescharacteristic
1169C22×Q8C22×D7311yescharacteristic
1170C22×D4—731no—
1171C22×D4—731no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178#137—2922no—
1179AGL(1,ℤ/8)—2922no—
1180#135—2922no—
1181C2×Q16—731no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×SD16—2922no—
1187C2×SD16—2922no—
1188C2×SD16—2922no—
1189C2×SD16—731no—
1190C2×SD16—731no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16—731no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16C22×D7311yescharacteristic
1203C2×SD16C22×D7311yescharacteristic
1204C2×SD16C22×D7311yescharacteristic
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8—731no—
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8—1461no—
1222C4⋊Q8—1461no—
1223C4⋊Q8C22×D7311yescharacteristic
1224#127—731no—
1225#127—1461no—
1226#127—1461no—
1227#126—21no—
1228#126—1461no—
1229#126—1461no—
1230#125—1461no—
1231#125C22×D7311yescharacteristic
1232#124—731no—
1233#124—731no—
1234#124—731no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124—1461no—
1242#124—1461no—
1243#124—1461no—
1244#123—21no—
1245#123—731no—
1246#123—731no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256#123—1461no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—731no—
1268C22⋊Q8—731no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8C22×D7311yescharacteristic
1288C22⋊Q8C22×D7311yescharacteristic
1289#121—21no—
1290#121—731no—
1291#121—731no—
1292#121—731no—
1293#121—731no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—1461no—
1302#121—1461no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121C22×D7311yescharacteristic
1319#121C22×D7311yescharacteristic
1320#120—731no—
1321#120—731no—
1322#120—1461no—
1323#120—1461no—
1324#120—1461no—
1325#120—1461no—
1326#120—1461no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×Q8—1461no—
1335C4×Q8—1461no—
1336C4×Q8C22×D7311yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—731no—
1342C4×D4—731no—
1343C4×D4—731no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4C22×D7311yescharacteristic
1357C4×D4C22×D7311yescharacteristic
1358#117—731no—
1359#117—731no—
1360#117—731no—
1361#117—1461no—
1362#117—1461no—
1363#117—1461no—
1364#117—1461no—
1365#117C22×D7311yescharacteristic
1366C2×C4⋊C4—731no—
1367C2×C4⋊C4C22×D7311yescharacteristic
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107C22×D7311yescharacteristic
1374#107C22×D7311yescharacteristic
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8C22×D7311yescharacteristic
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103C22×D7311yescharacteristic
1397#103C22×D7311yescharacteristic
1398#103C22×D7311yescharacteristic
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97C22×D7311yescharacteristic
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—731no—
1432C24—1461no—
1433C24—1461no—
1434#41—2921no—
1435#41—2921no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2921no—
1440#41—2921no—
1441#41—2924no—
1442#41—2924no—
1443#41—2924no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—5842no—
1448#41—1462no—
1449#41—1462no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—22no—
1453C2×Q8—22no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—2921no—
1457C2×Q8—2924no—
1458C2×Q8—2924no—
1459C2×Q8—2924no—
1460C2×Q8—2921no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—2924no—
1466C2×Q8—731no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—1462no—
1471C2×Q8—1461no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1462no—
1480C2×Q8—1462no—
1481C2×Q8—1462no—
1482C2×Q8—1461no—
1483C2×Q8C23×D7311yescharacteristic
1484C2×Q8C23×D7311yescharacteristic
1485C2×Q8C23×D7311yescharacteristic
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—2921no—
1489C2×D4—2921no—
1490C2×D4—2921no—
1491C2×D4—2921no—
1492C2×D4—5842no—
1493C2×D4—5842no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4D4×D7311yescharacteristic
1522C2×D4C23×D7311yescharacteristic
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—2921no—
1528C22×C4—2921no—
1529C22×C4—2924no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—2921no—
1553Q16—2921no—
1554Q16—2921no—
1555Q16—1462no—
1556Q16—1462no—
1557SD16—22no—
1558SD16—41no—
1559SD16—41no—
1560SD16—2921no—
1561SD16—2921no—
1562SD16—2921no—
1563SD16—2921no—
1564SD16—2921no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—1462no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572SD16—1462no—
1573D8—2921no—
1574D8—2921no—
1575D8—2921no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4D4×D7311yescharacteristic
1623C4⋊C4C23×D7311yescharacteristic
1624C4⋊C4C23×D7311yescharacteristic
1625C4⋊C4C23×D7311yescharacteristic
1626C4⋊C4C23×D7311yescharacteristic
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—731no—
1634C22⋊C4—731no—
1635C22⋊C4—731no—
1636C22⋊C4—731no—
1637C22⋊C4—731no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4D4×D7311yescharacteristic
1668C22⋊C4D4×D7311yescharacteristic
1669C42—21no—
1670C42—21no—
1671C42—731no—
1672C42—1461no—
1673C42—1461no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—2921no—
1681C23—2921no—
1682C23—2922no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—5841no—
1688C23—731no—
1689C23—731no—
1690C23—731no—
1691C23—1462no—
1692C23—1461no—
1693C23—1461no—
1694C23—1461no—
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—42no—
1703Q8—42no—
1704Q8—2922no—
1705Q8—2922no—
1706Q8—2921no—
1707Q8—2922no—
1708Q8—2922no—
1709Q8—2922no—
1710Q8—5841no—
1711Q8—732no—
1712Q8—1464no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717Q8—1461no—
1718Q8#1455663712yes—
1719D4—21no—
1720D4—21no—
1721D4—41no—
1722D4—81no—
1723D4—81no—
1724D4—2922no—
1725D4—2921no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2921no—
1732D4—2921no—
1733D4—2921no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—1462no—
1747D4—1462no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2921no—
1773C2×C4—2921no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2921no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—731no—
1790C2×C4—1464no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—2924no—
1825C22—2921no—
1826C22—2921no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—732no—
1835C22—11682no—
1836C22—11682no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—22no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—1461no—
1862C4—1462no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4C2×#1455663711yescharacteristic
1869C2—41no—
1870C2—41no—
1871C2—81no—
1872C2—2921no—
1873C2—2921no—
1874C2—5841no—
1875C2—5841no—
1876C2—5841no—
1877C2—1462no—
1878C2#2262356111yescharacteristic
1879C2#577×D7311yescharacteristic
1880C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3320C2
socleC22×C73C23×D4
hypercenter#3320D73
hypocenterC73#61611
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3320

Complements

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

NH ≅ G/Ntype
1. #22624250C2semidirect
2. #22623581C2semidirect
3. #22622223C2semidirect
4. #22622178C2semidirect
5. #22622118C2semidirect
6. #22621981C2semidirect
7. #22621925C2semidirect
8. #22621815C2semidirect
9. #22621792C2semidirect
10. #22621645C2semidirect
11. #22621630C2semidirect
12. #22621593C2semidirect
13. #22621565C2semidirect
14. #22621521C2semidirect
15. #22621448C2semidirect
16. #22621444C2semidirect
17. #22621428C2semidirect
18. #22621039C2semidirect
19. #22620993C2semidirect
20. #22620818C2semidirect
21. #22620797C2semidirect
22. #22620746C2semidirect
23. #22620726C2semidirect
24. #22620224C2semidirect
25. #22620158C2semidirect
26. #22619251C2semidirect
27. #22619212C2semidirect
28. #22619167C2semidirect
29. #448×D73C2semidirect
30. #22618978C2semidirect
31. C73×#3320C2semidirect
32. C2×#14556639C22semidirect
33. C22×Q8×D73C22semidirect
34. C2×#14556624C22semidirect
35. C2×#14556622C22semidirect
36. C2×#14556622C22semidirect
37. C2×#14556618C22semidirect
38. C2×#14556613C22semidirect
41. C2×SD16×D73C22semidirect
50. Q8×C22⋊D73C22semidirect
52. #17989250C22semidirect
54. #17989248C22semidirect
56. #17989247C22semidirect
58. #17989246C22semidirect
70. #17989162C22semidirect
72. #17989160C22semidirect
77. #17989100C22semidirect
82. #17989063C22semidirect
83. #17988978C22semidirect
84. #17988976C22semidirect
85. #17988968C22semidirect
86. #17988961C22semidirect
87. #17988948C22semidirect
88. #17988944C22semidirect
89. #17988936C22semidirect
90. #17988931C22semidirect
91. #17988930C22semidirect
92. #17988926C22semidirect
93. #17988917C22semidirect
94. #17988916C22semidirect
95. #17988914C22semidirect
96. #17988913C22semidirect
97. #17988911C22semidirect
99. #17988902C22semidirect
100. #17988891C22semidirect
101. #17988881C22semidirect
102. #17988870C22semidirect
103. #17988844C22semidirect
104. #17988840C22semidirect
106. #17988835C22semidirect
107. #17988835C22semidirect
108. #17988834C22semidirect
109. #17988831C22semidirect
110. #17988829C22semidirect
111. #17988827C22semidirect
114. #17988819C22semidirect
115. #17988817C22semidirect
116. #17988816C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988807C22semidirect
120. #17988805C22semidirect
121. #17988805C22semidirect
122. #17988802C22semidirect
123. #17988794C22semidirect
124. #17988791C22semidirect
125. #17988791C22semidirect
126. #17988788C22semidirect
127. #17988787C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988747C22semidirect
132. #17988747C22semidirect
133. #17988744C22semidirect
134. #17988744C22semidirect
135. #17988744C22semidirect
136. #17988744C22semidirect
137. #17988744C22semidirect
138. #17988739C22semidirect
140. #17988736C22semidirect
141. #17988735C22semidirect
142. #17988735C22semidirect
143. #17988735C22semidirect
144. #17988734C22semidirect
145. #17988734C22semidirect
147. #17988730C22semidirect
148. #17988728C22semidirect
151. #17988727C22semidirect
152. #17988727C22semidirect
153. #17988727C22semidirect
154. #17988727C22semidirect
155. #17988727C22semidirect
156. #17988726C22semidirect
157. #17988726C22semidirect
162. #17988695C22semidirect
163. #17988690C22semidirect
164. #17988686C22semidirect
165. C4×#11924018C22semidirect
166. #17988674C22semidirect
167. C4×#11924016C22semidirect
168. #17988672C22semidirect
169. #17988665C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
173. #17988656C22semidirect
175. C8×C22⋊D73C22semidirect
176. #17988649C22semidirect
177. #17988647C22semidirect
178. #17988595C22semidirect
179. #17988594C22semidirect
180. #17988586C22semidirect
181. #17988582C22semidirect
182. #103×D73C22semidirect
183. #103×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. C22⋊C8×D73C22semidirect
189. D4×Q8×C73C22semidirect
190. #491×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #479×C73C22semidirect
195. #465×C73C22semidirect
196. #461×C73C22semidirect
198. #448×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #419×C73C22semidirect
202. C2×#103×C73C22semidirect
946. #3320D73semidirect
972. C73#61611semidirect
995. D4×Q8C2×D73semidirect
1030. #491C2×D73semidirect
1037. #485C2×D73semidirect
1038. #484C2×D73semidirect
1047. #479C2×D73semidirect
1065. #465C2×D73semidirect
1075. #461C2×D73semidirect
1112. #448C2×D73semidirect
1117. #440C2×D73semidirect
1127. #435C2×D73semidirect
1134. #419C2×D73semidirect
1139. C2×#103C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242502
#226235812
#226222232
#226221782
#226221182
#226219812
#226219252
#226218152
#226217922
#226216452
#226216302
#226215932
#226215652
#226215212
#226214482
#226214442
#226214282
#226210392
#226209932
#226208182
#226207972
#226207462
#226207262
#226202242
#226201582
#226192512
#226192122
#226191672
#448×D732
#226189782
C73×#33202
#6161173