Finite Group Databasebeta

← #33972054

Subgroups — #33972054

Order 18688.

2282 conjugacy classes of subgroups.

The subgroup lattice has 1974 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624147C211yesmaximal, characteristic, complemented
2#22623559C211yesmaximal, characteristic, complemented
3#22622017C211yesmaximal, characteristic, complemented
4#22622007C211yesmaximal, characteristic, complemented
5#22621896C211yesmaximal, characteristic, complemented
6#22621894C211yesmaximal, characteristic, complemented
7#22621758C211yesmaximal, characteristic, complemented
8#22621748C211yesmaximal, characteristic, complemented
9#22621744C211yesmaximal, characteristic, complemented
10#22621739C211yesmaximal, characteristic, complemented
11#22621639C211yesmaximal, characteristic, complemented
12#22621638C211yesmaximal, characteristic, complemented
13#22621614C211yesmaximal, characteristic, complemented
14#22621611C211yesmaximal, characteristic, complemented
15#22621419C211yesmaximal, characteristic, complemented
16#22621410C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621030C211yesmaximal, characteristic, complemented
19#22621020C211yesmaximal, characteristic, complemented
20#22620784C211yesmaximal, characteristic, complemented
21#22620782C211yesmaximal, characteristic, complemented
22#22620709C211yesmaximal, characteristic, complemented
23#22620691C211yesmaximal, characteristic, complemented
24#22620119C211yesmaximal, characteristic, complemented
25#22620114C211yesmaximal, characteristic, complemented
26#22619236C211yesmaximal, characteristic, complemented
27#22619234C211yesmaximal, characteristic, complemented
28C2×#17988736C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618982C211yesmaximal, characteristic, complemented
31C73×#3265C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556612C2211yescharacteristic, complemented
36C2×#14556611C2211yescharacteristic, complemented
37C22×#11924015C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989333—21no—
41#17989331—21no—
42#17989297C2211yescharacteristic, complemented
43#17989295C2211yescharacteristic, complemented
44#17989248C2211yescharacteristic, complemented
45#17989241C2211yescharacteristic, complemented
46#17989237C2211yescharacteristic, complemented
47#17989234C2211yescharacteristic
48#17989233C2211yescharacteristic, complemented
49#17989232—21no—
50#17989232C2211yescharacteristic
51#17989231C2211yescharacteristic, complemented
52#17989230C2211yescharacteristic, complemented
53#17989226—21no—
54#17989226—21no—
55#17989225C2211yescharacteristic, complemented
56#17989224—21no—
57#17989222C2211yescharacteristic
58#17989221C2211yescharacteristic, complemented
59D4×C22⋊D73—21no—
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989212—21no—
63#17989209C2211yescharacteristic, complemented
64#17989206C2211yescharacteristic, complemented
65#17989179—21no—
66#17989171—21no—
67#17989167C2211yescharacteristic, complemented
68#17989165C2211yescharacteristic, complemented
69#17989164—21no—
70#17989153C2211yescharacteristic, complemented
71#17989150C2211yescharacteristic, complemented
72#17989147—21no—
73#17989145—21no—
74#17989097C2211yescharacteristic
75#17989096C2211yescharacteristic
76C2×#14556567C2211yescharacteristic, complemented
77#121×D73C2211yescharacteristic, complemented
78C2×#14556559—21no—
79#120×D73—21no—
80#17989059C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988947C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988933C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988926C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988918C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988906C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988904C2211yescharacteristic, complemented
97#17988902C2211yescharacteristic, complemented
98#17988898C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988878C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988867C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988837C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988827C2211yescharacteristic, complemented
108#17988827C2211yescharacteristic, complemented
109#17988822C2211yescharacteristic, complemented
110#17988821C2211yescharacteristic, complemented
111#17988821C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988813C2211yescharacteristic, complemented
116#17988813C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988809C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988805C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988803C2211yescharacteristic, complemented
123#17988800C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988779C2211yescharacteristic, complemented
128#17988747C2211yescharacteristic, complemented
129#17988746C2211yescharacteristic, complemented
130#17988746C2211yescharacteristic, complemented
131#17988746C2211yescharacteristic, complemented
132#17988743C2211yescharacteristic, complemented
133#17988739C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988736C2211yescharacteristic, complemented
136#17988736C2211yescharacteristic, complemented
137#17988736C2211yescharacteristic, complemented
138#17988736C2211yescharacteristic, complemented
139#17988736C2211yescharacteristic, complemented
140#17988736C2211yescharacteristic, complemented
141#17988736C2211yescharacteristic, complemented
142#17988736C2211yescharacteristic, complemented
143#17988735C2211yescharacteristic, complemented
144#17988734C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic, complemented
148#17988729C2211yescharacteristic, complemented
149#17988729C2211yescharacteristic, complemented
150#17988723C2211yescharacteristic, complemented
151#17988722C2211yescharacteristic
152#17988722C2211yescharacteristic, complemented
153#17988721C2211yescharacteristic, complemented
154#17988721C2211yescharacteristic, complemented
155#17988720C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988700C2211yescharacteristic, complemented
161#17988699C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163SD16×Dic73C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988660C2211yescharacteristic, complemented
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic, complemented
171#17988652C2211yescharacteristic, complemented
172C8×C22⋊D73C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988589C2211yescharacteristic, complemented
177#17988585C2211yescharacteristic, complemented
178C2×#14556513C2211yescharacteristic, complemented
179C2×#14556512C2211yescharacteristic, complemented
180C2×#14556512C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186C2×#14556503C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191D42×C73C2211yescharacteristic, complemented
192#496×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#460×C73C2211yescharacteristic, complemented
197#450×C73C2211yescharacteristic, complemented
198#449×C73C2211yescharacteristic, complemented
199#448×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556636—42no—
205#14556636—42no—
206C2×#11924029C2311yescharacteristic, complemented
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—42no—
226C2×D4×D73—42no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C22×C4×D73C2311yescharacteristic
234#14556618—42no—
235#14556612—42no—
236#14556611—42no—
237C2×#11924018C2311yescharacteristic, complemented
238C2×#11924018C2311yescharacteristic, complemented
239C2×#11924017C2311yescharacteristic, complemented
240C2×#11924016C2311yescharacteristic, complemented
241C2×#11924015—42no—
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×D584C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic, complemented
253D8×D73—42no—
254D8×D73—42no—
255C2×#11924011C2311yescharacteristic, complemented
256C22×#10596831C2311yescharacteristic
257C22×#10596831C2311yescharacteristic, complemented
258C2×C8×D73C2311yescharacteristic
259C2×C8×D73C2311yescharacteristic
260C2×C8×D73C2311yescharacteristic, complemented
261#14556591C2311yescharacteristic, complemented
262#14556590C2311yescharacteristic, complemented
263#14556587—21no—
264#14556587C2311yescharacteristic
265#14556585—21no—
266#14556584—21no—
267#14556583—21no—
268#14556581—21no—
269#14556580—21no—
270#14556580C2311yescharacteristic, complemented
271#14556579—21no—
272#14556579C2311yescharacteristic
273#14556578C2311yescharacteristic
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576D411yescharacteristic
279#14556575—21no—
280#14556575—21no—
281#14556575—21no—
282#14556575—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573D411yescharacteristic
289#14556572—21no—
290#14556572—21no—
291#14556571—21no—
292#14556571—21no—
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556569D411yescharacteristic
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568D411yescharacteristic
305#14556567—21no—
306#14556567—21no—
307#14556567—21no—
308#14556567C2311yescharacteristic
309#14556567C2311yescharacteristic
310#14556567C2311yescharacteristic
311#14556567C2311yescharacteristic
312#14556567C2311yescharacteristic, complemented
313#14556566—21no—
314#14556566C2311yescharacteristic
315#14556566C2311yescharacteristic
316#14556565—21no—
317#14556565—21no—
318#14556565—21no—
319#14556565C2311yescharacteristic
320#14556565C2311yescharacteristic
321#14556565C2311yescharacteristic, complemented
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564—21no—
326#14556564—21no—
327#14556564—21no—
328#14556564D411yescharacteristic
329#14556563—21no—
330#14556563—21no—
331#14556563—21no—
332#14556563—21no—
333#14556563—21no—
334#14556563—21no—
335#14556563—21no—
336#14556563—21no—
337#14556563D411yescharacteristic
338#14556562—21no—
339#14556562—21no—
340#14556562C2311yescharacteristic
341#14556562C2311yescharacteristic
342#14556562C2311yescharacteristic
343#14556562C2311yescharacteristic, complemented
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561D411yescharacteristic
349#14556560—21no—
350#14556560—21no—
351#14556559—21no—
352#14556559—21no—
353#14556559—21no—
354#14556559—21no—
355#14556559—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559D411yescharacteristic
363Q8×Dic73C2311yescharacteristic, complemented
364C4×D292—21no—
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367C4×D292C2311yescharacteristic, complemented
368D4×Dic73—21no—
369D4×Dic73C2311yescharacteristic
370D4×Dic73C2311yescharacteristic, complemented
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556549C2311yescharacteristic
380#14556548C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic, complemented
383C2×#11924007—21no—
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic, complemented
386C2×C22⋊Dic73—21no—
387C2×#11924005—21no—
388C2×#11924005—21no—
389C2×#11924005—21no—
390C2×#11924005—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556524C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556523C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403C4⋊#10596831C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556516C2311yescharacteristic, complemented
407#14556516C2311yescharacteristic, complemented
408#14556516C2311yescharacteristic, complemented
409#14556515C2311yescharacteristic, complemented
410#14556515C2311yescharacteristic, complemented
411#14556514C2311yescharacteristic, complemented
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic, complemented
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556512C2311yescharacteristic, complemented
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic, complemented
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic, complemented
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic, complemented
441#14556503C2311yescharacteristic, complemented
442#14556501C2311yescharacteristic, complemented
443C4×#10596831C2311yescharacteristic, complemented
444C8×Dic73C2311yescharacteristic, complemented
445C2×#41×C73C2311yescharacteristic, complemented
446C22×Q8×C73C2311yescharacteristic
447C22×D4×C73—21no—
448C22×D4×C73C2311yescharacteristic
449C22×D4×C73C2311yescharacteristic
450AGL(1,ℤ/8)×C73—42no—
451C2×SD16×C73—42no—
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic, complemented
457C2×SD16×C73C2311yescharacteristic, complemented
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×D8×C73C2311yescharacteristic, complemented
461C2×M16×C73C2311yescharacteristic, complemented
462C22×C8×C73C2311yescharacteristic
463#127×C73C2311yescharacteristic
464#124×C73—21no—
465#124×C73C2311yescharacteristic, complemented
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic, complemented
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474#120×C73—21no—
475C4×Q8×C73C2311yescharacteristic, complemented
476C4×D4×C73—21no—
477C4×D4×C73C2311yescharacteristic
478C4×D4×C73C2311yescharacteristic
479#107×C73C2311yescharacteristic, complemented
480C4⋊C8×C73C2311yescharacteristic, complemented
481#103×C73C2311yescharacteristic, complemented
482#103×C73C2311yescharacteristic, complemented
483#102×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic, complemented
486#102×C73C2311yescharacteristic, complemented
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic, complemented
489#97×C73C2311yescharacteristic, complemented
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—21no—
495C23×D73—21no—
496C23×D73—21no—
497C23×D73—44no—
498C23×D73—82no—
499C23×D73—82no—
500C23×D73C2×D411yescharacteristic
501#11924029—41no—
502#11924029—41no—
503#11924028—22no—
504#11924028—41no—
505#11924028—41no—
506#11924028—41no—
507#11924027—22no—
508#11924027—41no—
509#11924027—41no—
510#11924027—41no—
511#11924027—44no—
512#11924027—82no—
513#11924027—82no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146C2×D411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×D292—22no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—41no—
524C2×D292C2×D411yescharacteristic
525C2×D292C2×D411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—44no—
548C2×C22⋊D73—44no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—82no—
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—22no—
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—22no—
560D4×D73—41no—
561D4×D73—41no—
562D4×D73—41no—
563D4×D73—41no—
564D4×D73—41no—
565D4×D73—41no—
566D4×D73—41no—
567D4×D73—44no—
568D4×D73—44no—
569D4×D73—44no—
570D4×D73—82no—
571D4×D73—82no—
572D4×D73—82no—
573C22×Dic73—21no—
574C22×Dic73—21no—
575C22×Dic73—21no—
576C22×Dic73—21no—
577C22×Dic73—21no—
578C22×Dic73—21no—
579C22×Dic73C2×D411yescharacteristic
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—41no—
588C2×C4×D73—41no—
589C2×C4×D73C2×D411yescharacteristic
590C2×C4×D73C2×D411yescharacteristic
591C2×C4×D73C2411yescharacteristic
592C2×C4×D73C2411yescharacteristic
593C2×C4×D73C2411yescharacteristic
594#11924018—41no—
595#11924018—41no—
596#11924017—41no—
597#11924016—41no—
598#11924015—22no—
599#11924015—22no—
600#11924015—41no—
601#11924015—41no—
602D584—22no—
603D584—41no—
604#11924013—22no—
605#11924013—22no—
606#11924013—41no—
607#11924013—41no—
608#11924013—41no—
609#11924011—41no—
610C2×#10596831—41no—
611C2×#10596831—41no—
612C2×#10596831C2411yescharacteristic
613C2×#10596831C2411yescharacteristic
614C2×#10596831C2411yescharacteristic
615C2×#10596831C2411yescharacteristic
616C8×D73—41no—
617C8×D73—41no—
618C8×D73—41no—
619C4⋊Dic73—21no—
620C4⋊Dic73—21no—
621C4⋊Dic73—21no—
622C4⋊Dic73—21no—
623C4⋊Dic73—21no—
624C4⋊Dic73C2×D411yescharacteristic
625C4⋊Dic73C2411yescharacteristic
626C4⋊Dic73C2411yescharacteristic
627C4⋊Dic73C2411yescharacteristic
628C4⋊Dic73C2411yescharacteristic
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007C2×D411yescharacteristic
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677#11924005C2×D411yescharacteristic
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73C2411yescharacteristic
681C24×C73—21no—
682C24×C73—21no—
683#41×C73—41no—
684#41×C73—41no—
685C2×Q8×C73—21no—
686C2×Q8×C73—41no—
687C2×Q8×C73—41no—
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—22no—
691C2×D4×C73—22no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—21no—
698C2×D4×C73—21no—
699C2×D4×C73—21no—
700C2×D4×C73—41no—
701C2×D4×C73—41no—
702C2×D4×C73—82no—
703C2×D4×C73C2×D411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C2×D4×C73C2411yescharacteristic
706C2×D4×C73C2411yescharacteristic
707C2×D4×C73C2411yescharacteristic
708C22×C4×C73—21no—
709C22×C4×C73—21no—
710C22×C4×C73—21no—
711C22×C4×C73C2411yescharacteristic
712C22×C4×C73C2411yescharacteristic
713SD16×C73—22no—
714SD16×C73—22no—
715SD16×C73—41no—
716SD16×C73—41no—
717SD16×C73—41no—
718SD16×C73—41no—
719D8×C73—22no—
720D8×C73—41no—
721D8×C73—41no—
722M16×C73—41no—
723C2×C8×C73—41no—
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C2×C8×C73C2411yescharacteristic
727C2×C8×C73C2411yescharacteristic
728C4⋊C4×C73—21no—
729C4⋊C4×C73—21no—
730C4⋊C4×C73C2×D411yescharacteristic
731C4⋊C4×C73C2411yescharacteristic
732C4⋊C4×C73C2411yescharacteristic
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73C2×D411yescharacteristic
741C22⋊C4×C73C2×D411yescharacteristic
742C42×C73—21no—
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—42no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73C22×D411yescharacteristic
755C23×C73C22×D411yescharacteristic
756C22×D73—22no—
757C22×D73—21no—
758C22×D73—24no—
759C22×D73—22no—
760C22×D73—21no—
761C22×D73—21no—
762C22×D73—41no—
763C22×D73—42no—
764C22×D73—42no—
765C22×D73—42no—
766C22×D73—42no—
767C22×D73—42no—
768C22×D73—42no—
769C22×D73—42no—
770C22×D73—42no—
771C22×D73—42no—
772C22×D73—81no—
773C22×D73—81no—
774C22×D73—81no—
775C22×D73—81no—
776C22×D73—81no—
777C22×D73—81no—
778C22×D73—81no—
779C22×D73—81no—
780C22×D73—81no—
781C22×D73—81no—
782C22×D73—81no—
783C22×D73—816no—
784C22×D73C22×D411yescharacteristic
785C22×D73C22×D411yescharacteristic
786C22×D73C22×D411yescharacteristic
787Q8×C73—21no—
788Q8×C73—21no—
789Q8×C73—21no—
790Q8×C73—21no—
791Q8×C73—81no—
792D4×C73—22no—
793D4×C73—21no—
794D4×C73—21no—
795D4×C73—21no—
796D4×C73—21no—
797D4×C73—21no—
798D4×C73—21no—
799D4×C73—21no—
800D4×C73—42no—
801D4×C73—42no—
802D4×C73—42no—
803D4×C73—42no—
804D4×C73—81no—
805D4×C73—81no—
806D4×C73—81no—
807D4×C73—81no—
808D4×C73H(5,𝔽2)12yes—
809C2×C4×C73—21no—
810C2×C4×C73—21no—
811C2×C4×C73—21no—
812C2×C4×C73—21no—
813C2×C4×C73—21no—
814C2×C4×C73—21no—
815C2×C4×C73—21no—
816C2×C4×C73—21no—
817C2×C4×C73—81no—
818C2×C4×C73—81no—
819C2×C4×C73—81no—
820C2×C4×C73C22×D411yescharacteristic
821C2×C4×C73C22×D411yescharacteristic
822C2×C4×C73C22×D411yescharacteristic
823C2×C4×C73C22×D411yescharacteristic
824C2×C4×C73C2511yescharacteristic
825C22⋊D73—24no—
826C22⋊D73—22no—
827C22⋊D73—22no—
828C22⋊D73—41no—
829C22⋊D73—41no—
830C22⋊D73—42no—
831C22⋊D73—42no—
832C22⋊D73—42no—
833C22⋊D73—42no—
834C22⋊D73—42no—
835C22⋊D73—42no—
836C22⋊D73—42no—
837C22⋊D73—42no—
838C22⋊D73—42no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C22⋊D73—81no—
847C2×Dic73—21no—
848C2×Dic73—21no—
849C2×Dic73—21no—
850C2×Dic73—21no—
851C2×Dic73—21no—
852C2×Dic73—41no—
853C2×Dic73—42no—
854C2×Dic73—42no—
855C2×Dic73—42no—
856C2×Dic73—81no—
857C2×Dic73—81no—
858C2×Dic73—81no—
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863C2×Dic73C22×D411yescharacteristic
864D292—22no—
865D292—21no—
866D292—21no—
867D292—21no—
868D292—21no—
869D292—21no—
870D292—41no—
871D292—42no—
872D292—81no—
873D292—81no—
874D292—81no—
875D292H(5,𝔽2)12yes—
876C4×D73—21no—
877C4×D73—21no—
878C4×D73—21no—
879C4×D73—21no—
880C4×D73—21no—
881C4×D73—21no—
882C4×D73—41no—
883C4×D73—41no—
884C4×D73—42no—
885C4×D73—81no—
886C4×D73—81no—
887C4×D73—81no—
888C4×D73—81no—
889C4×D73—81no—
890C4×D73—81no—
891Dic146—21no—
892Dic146—21no—
893Dic146—41no—
894Dic146—81no—
895Dic146—81no—
896C8×C73—21no—
897C8×C73—21no—
898C8×C73—21no—
899C8×C73—21no—
900#10596831—21no—
901#10596831—21no—
902#10596831—21no—
903#10596831—21no—
904C22×C73—21no—
905C22×C73—21no—
906C22×C73—22no—
907C22×C73—21no—
908C22×C73—21no—
909C22×C73—21no—
910C22×C73—41no—
911C22×C73—41no—
912C22×C73—41no—
913C22×C73—41no—
914C22×C73—41no—
915C22×C73—41no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—84no—
922C22×C73—162no—
923C22×C73#57612yes—
924C22×C73C23×D411yescharacteristic
925C2×D73—21no—
926C2×D73—21no—
927C2×D73—21no—
928C2×D73—21no—
929C2×D73—22no—
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—44no—
935C2×D73—41no—
936C2×D73—41no—
937C2×D73—41no—
938C2×D73—41no—
939C2×D73—41no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—84no—
944C2×D73—84no—
945C2×D73—84no—
946C2×D73—84no—
947C2×D73—84no—
948C2×D73—162no—
949C2×D73—162no—
950C2×D73#57712yes—
951C4×C73—21no—
952C4×C73—21no—
953C4×C73—21no—
954C4×C73—21no—
955C4×C73—41no—
956C4×C73—41no—
957C4×C73—41no—
958C4×C73—41no—
959C4×C73C2×H(5,𝔽2)11yescharacteristic
960C4×C73C2×H(5,𝔽2)11yescharacteristic
961Dic73—21no—
962Dic73—21no—
963Dic73—21no—
964Dic73—21no—
965Dic73—21no—
966Dic73—41no—
967Dic73—41no—
968Dic73—41no—
969Dic73—41no—
970Dic73—41no—
971#61629—731nomaximal, Sylow
972C2×C73—22no—
973C2×C73—42no—
974C2×C73—41no—
975C2×C73—81no—
976C2×C73—81no—
977C2×C73—81no—
978C2×C73#348411yescharacteristic
979C2×C73C2×#57611yescharacteristic
980C2×C73C2×#57711yescharacteristic
981D73—22no—
982D73—41no—
983D73—41no—
984D73—42no—
985D73—81no—
986D73—81no—
987#3536—731no—
988#3484—731no—
989#3314—731no—
990#3314—731no—
991#3306—731no—
992#3306—731no—
993#3295—731no—
994#3295—731no—
995#3294—731no—
996#3294—731no—
997#3282—731no—
998#3282—731no—
999#3280—731no—
1000#3280—731no—
1001#3265—731no—
1002#3265D7311yescharacteristic, complemented
1003#3264—731no—
1004#3264—731no—
1005#3224—731no—
1006#3224—731no—
1007#3198—731no—
1008#3198—731no—
1009#3190—731no—
1010#3188—731no—
1011#3118—731no—
1012#3118—731no—
1013#3012—731no—
1014#3012—731no—
1015C2×#450—731no—
1016C2×#447—731no—
1017#2977—731no—
1018C73#6162911yescharacteristic, complemented, Sylow
1019C2×H(5,𝔽2)—731no—
1020C23×D4—731no—
1021C2×AGL(1,ℤ/8)—731no—
1022C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1023C2×#135—731no—
1024C2×#135—731no—
1025C22×SD16—731no—
1026C22×SD16C2×D7311yescharacteristic, complemented
1027C22×D8—731no—
1028C22×D8—731no—
1029#562—1461no—
1030#562—1461no—
1031#554—731no—
1032#554—731no—
1033#548—731no—
1034#548C2×D7311yescharacteristic, complemented
1035#547—731no—
1036#547—731no—
1037#546—731no—
1038#546—731no—
1039#546—731no—
1040#546—731no—
1041#546—731no—
1042#546—731no—
1043#546—1461no—
1044#546—1461no—
1045#546—1461no—
1046#546—1461no—
1047D42—731no—
1048D42—731no—
1049D42—731no—
1050D42—1461no—
1051D42—1461no—
1052D42C2×D7311yescharacteristic, complemented
1053#543—1461no—
1054#542—731no—
1055#542—731no—
1056#539—1461no—
1057#538—1461no—
1058#537—731no—
1059#537—731no—
1060#537—1461no—
1061#535—731no—
1062#535—731no—
1063#534—1461no—
1064#534—1461no—
1065#525—731no—
1066#525—731no—
1067C2×C22⋊Q8—731no—
1068C2×#121—731no—
1069C2×#120—1461no—
1070C2×#120—1461no—
1071#518—731no—
1072#496—731no—
1073#496C2×D7311yescharacteristic, complemented
1074#495—731no—
1075#495—731no—
1076#489—731no—
1077#489—731no—
1078#486—731no—
1079#486—731no—
1080#485—731no—
1081#485—731no—
1082#484—731no—
1083#483—731no—
1084#482—731no—
1085#482—731no—
1086#481—731no—
1087#481—731no—
1088#481—731no—
1089#480—731no—
1090#480—731no—
1091#480—731no—
1092#476—731no—
1093#476—731no—
1094#474—731no—
1095#474—731no—
1096#469—731no—
1097#469—731no—
1098#468—731no—
1099#468C2×D7311yescharacteristic, complemented
1100#467—731no—
1101#467—731no—
1102#466—731no—
1103#466—731no—
1104#466—731no—
1105#466C2×D7311yescharacteristic, complemented
1106#465—731no—
1107#465—731no—
1108#465—731no—
1109#465—731no—
1110#465—731no—
1111#465—731no—
1112#464—731no—
1113#464—731no—
1114#463—731no—
1115#463—731no—
1116#463—731no—
1117#463—731no—
1118#463—731no—
1119#463C2×D7311yescharacteristic, complemented
1120#460—731no—
1121#460C2×D7311yescharacteristic, complemented
1122#459—731no—
1123#459—731no—
1124#452—731no—
1125#452—731no—
1126#452—731no—
1127#452—731no—
1128#451—731no—
1129#450—731no—
1130#450—731no—
1131#450—731no—
1132#450—731no—
1133#450—731no—
1134#450—731no—
1135#450—731no—
1136#450—731no—
1137#450—731no—
1138#450—731no—
1139#450C2×D7311yescharacteristic, complemented
1140#449—731no—
1141#449—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449C2×D7311yescharacteristic, complemented
1148#448C2×D7311yescharacteristic, complemented
1149#447—731no—
1150#447—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447C2×D7311yescharacteristic, complemented
1160#442—731no—
1161#442—731no—
1162#440—731no—
1163#440C2×D7311yescharacteristic, complemented
1164C4×SD16—731no—
1165C4×SD16—731no—
1166C4×D8—731no—
1167C4×D8—731no—
1168#435—731no—
1169#435—731no—
1170#435—731no—
1171#435C2×D7311yescharacteristic, complemented
1172C8×D4—731no—
1173C8×D4—731no—
1174C8×D4—731no—
1175C8×D4—731no—
1176#433—731no—
1177#433—731no—
1178#417—731no—
1179#417—731no—
1180C2×#102—731no—
1181C2×#102—731no—
1182C2×#102—731no—
1183C2×#102—731no—
1184C2×#102—731no—
1185C2×#102—731no—
1186#408—731no—
1187#408—731no—
1188C2×C22⋊C8—731no—
1189C2×C22⋊C8—731no—
1190C25—1461no—
1191H(5,𝔽2)—2922no—
1192H(5,𝔽2)—2922no—
1193C2×#41—731no—
1194C2×#41—731no—
1195C2×#41—731no—
1196C2×#41—731no—
1197C2×#41—731no—
1198C2×#41—1461no—
1199C2×#41—1461no—
1200C2×#41—1461no—
1201C2×#41C22×D7311yescharacteristic, complemented
1202C22×Q8C22×D7311yescharacteristic
1203C22×D4—21no—
1204C22×D4—2922no—
1205C22×D4—2922no—
1206C22×D4—731no—
1207C22×D4—731no—
1208C22×D4—731no—
1209C22×D4—731no—
1210C22×D4—731no—
1211C22×D4—731no—
1212C22×D4—731no—
1213C22×D4—1461no—
1214C22×D4—1461no—
1215C22×D4—1461no—
1216C22×D4—1461no—
1217C22×D4—1461no—
1218C22×D4—1461no—
1219C22×D4—1461no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4C22×D7311yescharacteristic
1224C22×D4C22×D7311yescharacteristic
1225C23×C4—731no—
1226AGL(1,ℤ/8)—42no—
1227AGL(1,ℤ/8)—2922no—
1228#135—2922no—
1229#135—2922no—
1230C2×Q16—731no—
1231C2×Q16—731no—
1232C2×SD16—42no—
1233C2×SD16—2922no—
1234C2×SD16—731no—
1235C2×SD16—731no—
1236C2×SD16—731no—
1237C2×SD16—731no—
1238C2×SD16—731no—
1239C2×SD16—731no—
1240C2×SD16C22×D7311yescharacteristic
1241C2×SD16C22×D7311yescharacteristic
1242C2×SD16C22×D7311yescharacteristic
1243C2×SD16C22×D7311yescharacteristic
1244C2×SD16C22×D7311yescharacteristic, complemented
1245C2×SD16C22×D7311yescharacteristic, complemented
1246C2×D8—2922no—
1247C2×D8—2922no—
1248C2×D8—731no—
1249C2×D8—731no—
1250C2×D8—731no—
1251C2×D8—731no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8C22×D7311yescharacteristic
1256C2×D8C22×D7311yescharacteristic
1257C2×D8C22×D7311yescharacteristic, complemented
1258C2×M16—731no—
1259C2×M16C22×D7311yescharacteristic, complemented
1260C22×C8—731no—
1261C22×C8—731no—
1262C22×C8—731no—
1263C22×C8—731no—
1264C22×C8—731no—
1265C22×C8C22×D7311yescharacteristic
1266C4⋊Q8—731no—
1267C4⋊Q8—731no—
1268#127—731no—
1269#127—1461no—
1270#127C22×D7311yescharacteristic
1271#126—1461no—
1272#126—1461no—
1273#125—1461no—
1274#125—1461no—
1275#124—21no—
1276#124—731no—
1277#124—731no—
1278#124—731no—
1279#124—1461no—
1280#124—1461no—
1281#124—1461no—
1282#124—1461no—
1283#124C22×D7311yescharacteristic, complemented
1284#123—731no—
1285#123—731no—
1286#123—1461no—
1287#123—1461no—
1288#123—1461no—
1289#123—1461no—
1290#123—1461no—
1291#123—1461no—
1292#123—1461no—
1293#123—1461no—
1294#123—1461no—
1295#123—1461no—
1296#123—1461no—
1297#123—1461no—
1298#123—1461no—
1299C22⋊Q8—21no—
1300C22⋊Q8—731no—
1301C22⋊Q8—731no—
1302C22⋊Q8—731no—
1303C22⋊Q8—731no—
1304C22⋊Q8—731no—
1305C22⋊Q8—731no—
1306C22⋊Q8—731no—
1307C22⋊Q8—731no—
1308C22⋊Q8—731no—
1309C22⋊Q8—1461no—
1310C22⋊Q8—1461no—
1311C22⋊Q8—1461no—
1312C22⋊Q8—1461no—
1313C22⋊Q8—1461no—
1314C22⋊Q8—1461no—
1315C22⋊Q8—1461no—
1316C22⋊Q8—1461no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8—1461no—
1321C22⋊Q8—1461no—
1322C22⋊Q8C22×D7311yescharacteristic, complemented
1323#121—21no—
1324#121—21no—
1325#121—731no—
1326#121—731no—
1327#121—731no—
1328#121—731no—
1329#121—731no—
1330#121—731no—
1331#121—731no—
1332#121—731no—
1333#121—731no—
1334#121—731no—
1335#121—731no—
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#121C22×D7311yescharacteristic
1358#121C22×D7311yescharacteristic
1359#120—21no—
1360#120—21no—
1361#120—731no—
1362#120—731no—
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—
1373#120—1461no—
1374#120—1461no—
1375#120—1461no—
1376#120—1461no—
1377#120—1461no—
1378#120—1461no—
1379#120—1461no—
1380C4×Q8—731no—
1381C4×Q8C22×D7311yescharacteristic, complemented
1382C4×D4—21no—
1383C4×D4—731no—
1384C4×D4—731no—
1385C4×D4—731no—
1386C4×D4—731no—
1387C4×D4—731no—
1388C4×D4—731no—
1389C4×D4—731no—
1390C4×D4—731no—
1391C4×D4—1461no—
1392C4×D4—1461no—
1393C4×D4—1461no—
1394C4×D4—1461no—
1395C4×D4—1461no—
1396C4×D4—1461no—
1397C4×D4—1461no—
1398C4×D4C22×D7311yescharacteristic
1399C4×D4C22×D7311yescharacteristic
1400#117—731no—
1401#117—731no—
1402C2×C4⋊C4—731no—
1403C2×C4⋊C4—731no—
1404C2×C4⋊C4—731no—
1405C2×C4⋊C4—731no—
1406C2×C4⋊C4—1461no—
1407C2×C22⋊C4—1461no—
1408C2×C22⋊C4—1461no—
1409C2×C22⋊C4—1461no—
1410C2×C22⋊C4—1461no—
1411C2×C22⋊C4—1461no—
1412C2×C22⋊C4—1461no—
1413C2×C22⋊C4—1461no—
1414C2×C22⋊C4—1461no—
1415C2×C22⋊C4—1461no—
1416C2×C22⋊C4—1461no—
1417#107—731no—
1418#107—731no—
1419#107—731no—
1420#107C22×D7311yescharacteristic, complemented
1421#106—731no—
1422#106—731no—
1423#106—731no—
1424#106—731no—
1425C4⋊C8—731no—
1426C4⋊C8—731no—
1427C4⋊C8—731no—
1428C4⋊C8C22×D7311yescharacteristic, complemented
1429#103—731no—
1430#103—731no—
1431#103—731no—
1432#103—731no—
1433#103—731no—
1434#103—731no—
1435#103C22×D7311yescharacteristic, complemented
1436#103C22×D7311yescharacteristic, complemented
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#102—731no—
1451#102—731no—
1452#102—731no—
1453#102—731no—
1454#102—731no—
1455#102—731no—
1456#102—731no—
1457#102C22×D7311yescharacteristic
1458#102C22×D7311yescharacteristic
1459#102C22×D7311yescharacteristic, complemented
1460#102C22×D7311yescharacteristic, complemented
1461C22⋊C8—731no—
1462C22⋊C8—731no—
1463C22⋊C8—731no—
1464C22⋊C8—731no—
1465C22⋊C8—731no—
1466C22⋊C8—731no—
1467C22⋊C8—731no—
1468C22⋊C8—731no—
1469C22⋊C8—731no—
1470C22⋊C8—731no—
1471C22⋊C8C22×D7311yescharacteristic
1472C22⋊C8C22×D7311yescharacteristic, complemented
1473#97—731no—
1474#97C22×D7311yescharacteristic, complemented
1475C4×C8—731no—
1476C4×C8—731no—
1477C24—21no—
1478C24—21no—
1479C24—2924no—
1480C24—5842no—
1481C24—5842no—
1482C24—731no—
1483C24—1461no—
1484C24—1461no—
1485C24—1461no—
1486C24—1461no—
1487C24—1461no—
1488C24—1461no—
1489C24—1461no—
1490#41—41no—
1491#41—41no—
1492#41—2921no—
1493#41—2921no—
1494#41—2921no—
1495#41—2924no—
1496#41—2921no—
1497#41—2921no—
1498#41—2921no—
1499#41—2921no—
1500#41—2921no—
1501#41—5842no—
1502#41—5842no—
1503#41—1462no—
1504#41—1462no—
1505C2×Q8—21no—
1506C2×Q8—41no—
1507C2×Q8—41no—
1508C2×Q8—731no—
1509C2×Q8—731no—
1510C2×Q8—1461no—
1511C2×Q8—1461no—
1512C2×Q8C23×D7311yescharacteristic
1513C2×Q8C23×D7311yescharacteristic
1514C2×D4—22no—
1515C2×D4—22no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—41no—
1525C2×D4—41no—
1526C2×D4—82no—
1527C2×D4—2921no—
1528C2×D4—2924no—
1529C2×D4—2924no—
1530C2×D4—2924no—
1531C2×D4—2924no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—2921no—
1535C2×D4—2921no—
1536C2×D4—2921no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—5842no—
1542C2×D4—5842no—
1543C2×D4—5842no—
1544C2×D4—5842no—
1545C2×D4—731no—
1546C2×D4—731no—
1547C2×D4—731no—
1548C2×D4—731no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—731no—
1554C2×D4—1462no—
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—1462no—
1567C2×D4—1462no—
1568C2×D4—1462no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1462no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1461no—
1578C2×D4—1461no—
1579C2×D4—1461no—
1580C2×D4—1462no—
1581C2×D4—1461no—
1582C2×D4D4×D7311yescharacteristic
1583C2×D4C23×D7311yescharacteristic
1584C2×D4C23×D7311yescharacteristic
1585C2×D4C23×D7311yescharacteristic
1586C2×D4C23×D7311yescharacteristic
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—2921no—
1591C22×C4—2921no—
1592C22×C4—731no—
1593C22×C4—731no—
1594C22×C4—731no—
1595C22×C4—731no—
1596C22×C4—731no—
1597C22×C4—731no—
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×C4—1461no—
1609C22×C4—1461no—
1610C22×C4—1461no—
1611C22×C4C23×D7311yescharacteristic
1612C22×C4C23×D7311yescharacteristic
1613Q16—2921no—
1614Q16—2921no—
1615SD16—22no—
1616SD16—22no—
1617SD16—41no—
1618SD16—41no—
1619SD16—41no—
1620SD16—41no—
1621SD16—2921no—
1622SD16—2921no—
1623SD16—2921no—
1624SD16—2921no—
1625SD16—1462no—
1626SD16—1462no—
1627D8—22no—
1628D8—41no—
1629D8—41no—
1630D8—2921no—
1631D8—2921no—
1632D8—2921no—
1633D8—2921no—
1634D8—1462no—
1635D8—1462no—
1636D8—1462no—
1637M16—41no—
1638M16—2921no—
1639C2×C8—41no—
1640C2×C8—2921no—
1641C2×C8—2921no—
1642C2×C8—2921no—
1643C2×C8—2921no—
1644C2×C8—2921no—
1645C2×C8—731no—
1646C2×C8—731no—
1647C2×C8—731no—
1648C2×C8—731no—
1649C2×C8C23×D7311yescharacteristic
1650C2×C8C23×D7311yescharacteristic
1651C2×C8C23×D7311yescharacteristic
1652C2×C8C23×D7311yescharacteristic
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—731no—
1656C4⋊C4—731no—
1657C4⋊C4—731no—
1658C4⋊C4—731no—
1659C4⋊C4—731no—
1660C4⋊C4—731no—
1661C4⋊C4—731no—
1662C4⋊C4—731no—
1663C4⋊C4—731no—
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⋊C4—1461no—
1673C4⋊C4—1461no—
1674C4⋊C4—1461no—
1675C4⋊C4—1461no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4D4×D7311yescharacteristic
1679C4⋊C4C23×D7311yescharacteristic
1680C4⋊C4C23×D7311yescharacteristic
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—731no—
1689C22⋊C4—731no—
1690C22⋊C4—731no—
1691C22⋊C4—731no—
1692C22⋊C4—731no—
1693C22⋊C4—731no—
1694C22⋊C4—731no—
1695C22⋊C4—731no—
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⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4D4×D7311yescharacteristic
1725C22⋊C4D4×D7311yescharacteristic
1726C42—21no—
1727C42—731no—
1728C42—1461no—
1729C42—1461no—
1730C42C23×D7311yescharacteristic
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—21no—
1735C23—42no—
1736C23—42no—
1737C23—42no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—2921no—
1742C23—2922no—
1743C23—2922no—
1744C23—2922no—
1745C23—2922no—
1746C23—2922no—
1747C23—2922no—
1748C23—2922no—
1749C23—2922no—
1750C23—2922no—
1751C23—5841no—
1752C23—5841no—
1753C23—5841no—
1754C23—5841no—
1755C23—5841no—
1756C23—5841no—
1757C23—5841no—
1758C23—5841no—
1759C23—5841no—
1760C23—5841no—
1761C23—5841no—
1762C23—58416no—
1763C23—731no—
1764C23—731no—
1765C23—731no—
1766C23—1462no—
1767C23—1464no—
1768C23—1461no—
1769C23—1461no—
1770C23—1462no—
1771C23—1461no—
1772C23C2×D4×D7311yescharacteristic
1773C23C2×D4×D7311yescharacteristic
1774Q8—21no—
1775Q8—21no—
1776Q8—21no—
1777Q8—21no—
1778Q8—81no—
1779Q8—2921no—
1780Q8—5841no—
1781Q8—5841no—
1782Q8—1461no—
1783Q8—1461no—
1784D4—22no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—21no—
1790D4—21no—
1791D4—21no—
1792D4—42no—
1793D4—42no—
1794D4—42no—
1795D4—42no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—2922no—
1801D4—2921no—
1802D4—2922no—
1803D4—2922no—
1804D4—2922no—
1805D4—2922no—
1806D4—2922no—
1807D4—2922no—
1808D4—2921no—
1809D4—2921no—
1810D4—2922no—
1811D4—2922no—
1812D4—2922no—
1813D4—5841no—
1814D4—5841no—
1815D4—5841no—
1816D4—5841no—
1817D4—5841no—
1818D4—5841no—
1819D4—5841no—
1820D4—5841no—
1821D4—5841no—
1822D4—5841no—
1823D4—5841no—
1824D4—732no—
1825D4—1462no—
1826D4—1462no—
1827D4—1464no—
1828D4—1462no—
1829D4—1461no—
1830D4—1461no—
1831D4—1461no—
1832D4—1461no—
1833D4—1461no—
1834D4#1455663612yes—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—81no—
1844C2×C4—81no—
1845C2×C4—81no—
1846C2×C4—2922no—
1847C2×C4—2921no—
1848C2×C4—2921no—
1849C2×C4—2922no—
1850C2×C4—2922no—
1851C2×C4—2922no—
1852C2×C4—2921no—
1853C2×C4—5841no—
1854C2×C4—5841no—
1855C2×C4—5841no—
1856C2×C4—5841no—
1857C2×C4—5841no—
1858C2×C4—5841no—
1859C2×C4—5841no—
1860C2×C4—5841no—
1861C2×C4—5841no—
1862C2×C4—731no—
1863C2×C4—731no—
1864C2×C4—731no—
1865C2×C4—731no—
1866C2×C4—731no—
1867C2×C4—1461no—
1868C2×C4—1461no—
1869C2×C4—1461no—
1870C2×C4—1461no—
1871C2×C4—1461no—
1872C2×C4—1461no—
1873C2×C4—1461no—
1874C2×C4—1461no—
1875C2×C4—1461no—
1876C2×C4—1461no—
1877C2×C4—1461no—
1878C2×C4C2×D4×D7311yescharacteristic
1879C2×C4C2×D4×D7311yescharacteristic
1880C2×C4C2×D4×D7311yescharacteristic
1881C2×C4C2×D4×D7311yescharacteristic
1882C2×C4C24×D7311yescharacteristic
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—21no—
1887C8—1461no—
1888C8—1461no—
1889C8—1461no—
1890C8—1461no—
1891C22—21no—
1892C22—21no—
1893C22—21no—
1894C22—22no—
1895C22—21no—
1896C22—21no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—84no—
1909C22—162no—
1910C22—2924no—
1911C22—2921no—
1912C22—2921no—
1913C22—2921no—
1914C22—2921no—
1915C22—2921no—
1916C22—2921no—
1917C22—2921no—
1918C22—2921no—
1919C22—5844no—
1920C22—5844no—
1921C22—5844no—
1922C22—5844no—
1923C22—5844no—
1924C22—732no—
1925C22—11682no—
1926C22—11682no—
1927C22—1461no—
1928C22—1462no—
1929C22—1461no—
1930C22—1461no—
1931C22—1461no—
1932C22—1461no—
1933C22—1461no—
1934C22—1461no—
1935C22—1461no—
1936C22#1798939112yes—
1937C22C22×D4×D7311yescharacteristic
1938C4—21no—
1939C4—21no—
1940C4—21no—
1941C4—21no—
1942C4—41no—
1943C4—41no—
1944C4—41no—
1945C4—41no—
1946C4—2921no—
1947C4—2921no—
1948C4—2921no—
1949C4—2921no—
1950C4—2921no—
1951C4—1461no—
1952C4—1461no—
1953C4—1461no—
1954C4—1461no—
1955C4—1461no—
1956C4H(5,𝔽2)×D7311yescharacteristic
1957C4C2×#1455663611yescharacteristic
1958C2—22no—
1959C2—41no—
1960C2—42no—
1961C2—81no—
1962C2—81no—
1963C2—81no—
1964C2—2921no—
1965C2—2922no—
1966C2—2921no—
1967C2—5841no—
1968C2—5841no—
1969C2—1462no—
1970C2#2262355911yescharacteristic
1971C2C2×#1798939111yescharacteristic
1972C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3265C2
socleC22×C73C23×D4
hypercenter#3265D73
hypocenterC73#61629
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #22624147C2semidirect
2. #22623559C2semidirect
3. #22622017C2semidirect
4. #22622007C2semidirect
5. #22621896C2semidirect
6. #22621894C2semidirect
7. #22621758C2semidirect
8. #22621748C2semidirect
9. #22621744C2semidirect
10. #22621739C2semidirect
11. #22621639C2semidirect
12. #22621638C2semidirect
13. #22621614C2semidirect
14. #22621611C2semidirect
15. #22621419C2semidirect
16. #22621410C2semidirect
17. #22621405C2semidirect
18. #22621030C2semidirect
19. #22621020C2semidirect
20. #22620784C2semidirect
21. #22620782C2semidirect
22. #22620709C2semidirect
23. #22620691C2semidirect
24. #22620119C2semidirect
25. #22620114C2semidirect
26. #22619236C2semidirect
27. #22619234C2semidirect
28. C2×#17988736C2semidirect
29. #447×D73C2semidirect
30. #22618982C2semidirect
31. C73×#3265C2semidirect
32. C2×#14556636C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556612C22semidirect
36. C2×#14556611C22semidirect
37. C22×#11924015C22semidirect
38. C2×D8×D73C22semidirect
39. C2×D8×D73C22semidirect
42. #17989297C22semidirect
43. #17989295C22semidirect
44. #17989248C22semidirect
45. #17989241C22semidirect
46. #17989237C22semidirect
48. #17989233C22semidirect
51. #17989231C22semidirect
52. #17989230C22semidirect
55. #17989225C22semidirect
58. #17989221C22semidirect
63. #17989209C22semidirect
64. #17989206C22semidirect
67. #17989167C22semidirect
68. #17989165C22semidirect
70. #17989153C22semidirect
71. #17989150C22semidirect
76. C2×#14556567C22semidirect
77. #121×D73C22semidirect
80. #17989059C22semidirect
81. #17988973C22semidirect
82. #17988969C22semidirect
83. #17988968C22semidirect
84. #17988947C22semidirect
85. #17988945C22semidirect
86. #17988933C22semidirect
87. #17988932C22semidirect
88. #17988926C22semidirect
89. #17988926C22semidirect
90. #17988924C22semidirect
91. #17988918C22semidirect
92. #17988914C22semidirect
93. #17988910C22semidirect
94. #17988906C22semidirect
95. #17988904C22semidirect
96. #17988904C22semidirect
97. #17988902C22semidirect
98. #17988898C22semidirect
99. #17988898C22semidirect
100. #17988878C22semidirect
101. #17988875C22semidirect
102. #17988867C22semidirect
103. #17988866C22semidirect
104. #17988840C22semidirect
105. #17988837C22semidirect
106. #17988836C22semidirect
107. #17988827C22semidirect
108. #17988827C22semidirect
109. #17988822C22semidirect
110. #17988821C22semidirect
111. #17988821C22semidirect
112. #17988818C22semidirect
113. #17988816C22semidirect
114. #17988814C22semidirect
115. #17988813C22semidirect
116. #17988813C22semidirect
117. #17988813C22semidirect
118. #17988809C22semidirect
119. #17988807C22semidirect
120. #17988805C22semidirect
121. #17988804C22semidirect
122. #17988803C22semidirect
123. #17988800C22semidirect
124. #17988799C22semidirect
125. #17988785C22semidirect
126. #17988780C22semidirect
127. #17988779C22semidirect
128. #17988747C22semidirect
129. #17988746C22semidirect
130. #17988746C22semidirect
131. #17988746C22semidirect
132. #17988743C22semidirect
133. #17988739C22semidirect
134. #17988736C22semidirect
135. #17988736C22semidirect
136. #17988736C22semidirect
137. #17988736C22semidirect
138. #17988736C22semidirect
139. #17988736C22semidirect
140. #17988736C22semidirect
141. #17988736C22semidirect
142. #17988736C22semidirect
143. #17988735C22semidirect
144. #17988734C22semidirect
145. #17988733C22semidirect
146. #17988732C22semidirect
147. #17988731C22semidirect
148. #17988729C22semidirect
149. #17988729C22semidirect
150. #17988723C22semidirect
152. #17988722C22semidirect
153. #17988721C22semidirect
154. #17988721C22semidirect
155. #17988720C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988700C22semidirect
161. #17988699C22semidirect
162. #17988690C22semidirect
163. SD16×Dic73C22semidirect
164. C4×#11924015C22semidirect
165. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. #17988660C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
170. D4×#10596831C22semidirect
171. #17988652C22semidirect
172. C8×C22⋊D73C22semidirect
173. #17988650C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988589C22semidirect
177. #17988585C22semidirect
178. C2×#14556513C22semidirect
179. C2×#14556512C22semidirect
180. C2×#14556512C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. C2×#14556503C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C22×SD16×C73C22semidirect
190. #548×C73C22semidirect
191. D42×C73C22semidirect
192. #496×C73C22semidirect
193. #468×C73C22semidirect
194. #466×C73C22semidirect
195. #463×C73C22semidirect
196. #460×C73C22semidirect
197. #450×C73C22semidirect
198. #449×C73C22semidirect
199. #448×C73C22semidirect
200. #447×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
206. C2×#11924029C23semidirect
237. C2×#11924018C23semidirect
238. C2×#11924018C23semidirect
239. C2×#11924017C23semidirect
240. C2×#11924016C23semidirect
252. C2×#11924013C23semidirect
255. C2×#11924011C23semidirect
257. C22×#10596831C23semidirect
260. C2×C8×D73C23semidirect
261. #14556591C23semidirect
262. #14556590C23semidirect
270. #14556580C23semidirect
312. #14556567C23semidirect
321. #14556565C23semidirect
343. #14556562C23semidirect
363. Q8×Dic73C23semidirect
367. C4×D292C23semidirect
370. D4×Dic73C23semidirect
382. C2×C4⋊Dic73C23semidirect
385. C4⋊C4×D73C23semidirect
396. #14556524C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556523C23semidirect
400. #14556523C23semidirect
401. #14556523C23semidirect
402. #14556522C23semidirect
403. C4⋊#10596831C23semidirect
404. #14556520C23semidirect
405. #14556520C23semidirect
406. #14556516C23semidirect
407. #14556516C23semidirect
408. #14556516C23semidirect
409. #14556515C23semidirect
410. #14556515C23semidirect
411. #14556514C23semidirect
418. #14556513C23semidirect
425. #14556512C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
428. #14556512C23semidirect
431. #14556511C23semidirect
433. C22⋊#10596831C23semidirect
440. #14556503C23semidirect
441. #14556503C23semidirect
442. #14556501C23semidirect
443. C4×#10596831C23semidirect
444. C8×Dic73C23semidirect
445. C2×#41×C73C23semidirect
456. C2×SD16×C73C23semidirect
457. C2×SD16×C73C23semidirect
460. C2×D8×C73C23semidirect
461. C2×M16×C73C23semidirect
465. #124×C73C23semidirect
467. C22⋊Q8×C73C23semidirect
475. C4×Q8×C73C23semidirect
479. #107×C73C23semidirect
480. C4⋊C8×C73C23semidirect
481. #103×C73C23semidirect
482. #103×C73C23semidirect
485. #102×C73C23semidirect
486. #102×C73C23semidirect
488. C22⋊C8×C73C23semidirect
489. #97×C73C23semidirect
1002. #3265D73semidirect
1018. C73#61629semidirect
1022. C2×AGL(1,ℤ/8)C2×D73semidirect
1026. C22×SD16C2×D73semidirect
1034. #548C2×D73semidirect
1052. D42C2×D73semidirect
1073. #496C2×D73semidirect
1099. #468C2×D73semidirect
1105. #466C2×D73semidirect
1119. #463C2×D73semidirect
1121. #460C2×D73semidirect
1139. #450C2×D73semidirect
1147. #449C2×D73semidirect
1148. #448C2×D73semidirect
1159. #447C2×D73semidirect
1163. #440C2×D73semidirect
1171. #435C2×D73semidirect
1201. C2×#41C22×D73semidirect
1244. C2×SD16C22×D73semidirect
1245. C2×SD16C22×D73semidirect
1257. C2×D8C22×D73semidirect
1259. C2×M16C22×D73semidirect
1283. #124C22×D73semidirect
1322. C22⋊Q8C22×D73semidirect
1381. C4×Q8C22×D73semidirect
1420. #107C22×D73semidirect
1428. C4⋊C8C22×D73semidirect
1435. #103C22×D73semidirect
1436. #103C22×D73semidirect
1459. #102C22×D73semidirect
1460. #102C22×D73semidirect
1472. C22⋊C8C22×D73semidirect
1474. #97C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226241472
#226235592
#226220172
#226220072
#226218962
#226218942
#226217582
#226217482
#226217442
#226217392
#226216392
#226216382
#226216142
#226216112
#226214192
#226214102
#226214052
#226210302
#226210202
#226207842
#226207822
#226207092
#226206912
#226201192
#226201142
#226192362
#226192342
C2×#179887362
#447×D732
#226189822
C73×#32652
#6162973