Finite Group Databasebeta

← #33971540

Subgroups — #33971540

Order 18688.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624245C211yesmaximal, characteristic, complemented
2#22623561C211yesmaximal, characteristic, complemented
3#22622174C211yesmaximal, characteristic, complemented
4#22622138C211yesmaximal, characteristic, complemented
5#22622087C211yesmaximal, characteristic, complemented
6#22622065C211yesmaximal, characteristic, complemented
7#22621947C211yesmaximal, characteristic, complemented
8#22621899C211yesmaximal, characteristic, complemented
9#22621759C211yesmaximal, characteristic, complemented
10#22621746C211yesmaximal, characteristic, complemented
11#22621615C211yesmaximal, characteristic, complemented
12#22621601C211yesmaximal, characteristic, complemented
13#22621545C211yesmaximal, characteristic, complemented
14#22621474C211yesmaximal, characteristic, complemented
15#22621417C211yesmaximal, characteristic, complemented
16#22621412C211yesmaximal, characteristic, complemented
17#22621405C211yesmaximal, characteristic, complemented
18#22621018C211yesmaximal, characteristic, complemented
19#22620978C211yesmaximal, characteristic, complemented
20#22620794C211yesmaximal, characteristic, complemented
21#22620784C211yesmaximal, characteristic, complemented
22#22620746C211yesmaximal, characteristic, complemented
23#22620723C211yesmaximal, characteristic, complemented
24#22620171C211yesmaximal, characteristic, complemented
25#22620114C211yesmaximal, characteristic, complemented
26#22619239C211yesmaximal, characteristic, complemented
27#22619198C211yesmaximal, characteristic, complemented
28#22619156C211yesmaximal, characteristic, complemented
29#447×D73C211yesmaximal, characteristic, complemented
30#22618975C211yesmaximal, characteristic, complemented
31C73×#3273C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic, complemented
33C22×D4×D73C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C22×#11924013C2211yescharacteristic, complemented
38C2×D8×D73C2211yescharacteristic, complemented
39C2×D8×D73C2211yescharacteristic, complemented
40#17989332—21no—
41#17989326—21no—
42#17989302C2211yescharacteristic, complemented
43#17989284C2211yescharacteristic, complemented
44#17989271C2211yescharacteristic, complemented
45#17989265—21no—
46#17989256C2211yescharacteristic, complemented
47#17989242C2211yescharacteristic, complemented
48#17989230C2211yescharacteristic, complemented
49#17989230C2211yescharacteristic, complemented
50#17989229—21no—
51#17989228C2211yescharacteristic, complemented
52#17989227—21no—
53#17989227—21no—
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic, complemented
56D4×D292C2211yescharacteristic, complemented
57#17989221—21no—
58#17989221C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic, complemented
60D4×C22⋊D73C2211yescharacteristic, complemented
61#17989219—21no—
62#17989206C2211yescharacteristic, complemented
63#17989189—21no—
64#17989188C2211yescharacteristic, complemented
65#17989175—21no—
66#17989167C2211yescharacteristic, complemented
67#17989155C2211yescharacteristic, complemented
68#17989154C2211yescharacteristic, complemented
69#17989153—21no—
70#17989153C2211yescharacteristic, complemented
71#17989148—21no—
72#17989147—21no—
73#17989145—21no—
74#17989100C2211yescharacteristic, complemented
75#17989096C2211yescharacteristic
76#17989094C2211yescharacteristic, complemented
77#121×D73C2211yescharacteristic, complemented
78C2×#14556561—21no—
79#120×D73—21no—
80#17989059C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988973C2211yescharacteristic, complemented
83#17988962C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988934C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988916C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988912C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988904C2211yescharacteristic, complemented
98#17988902C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988890C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988878C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988840C2211yescharacteristic, complemented
105#17988840C2211yescharacteristic, complemented
106#17988839C2211yescharacteristic, complemented
107#17988838C2211yescharacteristic, complemented
108#17988837C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988825C2211yescharacteristic, complemented
111#17988822C2211yescharacteristic, complemented
112#17988822C2211yescharacteristic, complemented
113#17988821C2211yescharacteristic, complemented
114#17988820C2211yescharacteristic, complemented
115#17988819C2211yescharacteristic, complemented
116#17988818C2211yescharacteristic, complemented
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988804C2211yescharacteristic, complemented
120#17988799C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988785C2211yescharacteristic, complemented
123#17988783C2211yescharacteristic, complemented
124#17988782C2211yescharacteristic, complemented
125#17988781C2211yescharacteristic, complemented
126#17988780C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988748C2211yescharacteristic, complemented
129#17988737C2211yescharacteristic, complemented
130#17988736C2211yescharacteristic, complemented
131#17988736C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic, complemented
136#17988735C2211yescharacteristic, complemented
137#17988732C2211yescharacteristic, complemented
138#17988732C2211yescharacteristic, complemented
139#17988731C2211yescharacteristic, complemented
140#17988731C2211yescharacteristic, complemented
141#17988731C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988731C2211yescharacteristic, complemented
144#17988723C2211yescharacteristic, complemented
145#17988723C2211yescharacteristic, complemented
146#17988722C2211yescharacteristic, complemented
147#17988722C2211yescharacteristic, complemented
148#17988722C2211yescharacteristic, complemented
149#17988721C2211yescharacteristic, complemented
150#17988721C2211yescharacteristic, complemented
151#17988720C2211yescharacteristic, complemented
152#17988719C2211yescharacteristic
153#17988719C2211yescharacteristic, complemented
154#17988719C2211yescharacteristic, complemented
155#17988719C2211yescharacteristic, complemented
156#17988719C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988699C2211yescharacteristic, complemented
161#17988697C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988690C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165C4×D584C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988663C2211yescharacteristic, complemented
168#17988661C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988657C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172C8×D292C2211yescharacteristic, complemented
173#17988650C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988593C2211yescharacteristic, complemented
177#17988593C2211yescharacteristic, complemented
178#17988592C2211yescharacteristic, complemented
179#17988587C2211yescharacteristic, complemented
180#17988583C2211yescharacteristic, complemented
181#102×D73C2211yescharacteristic, complemented
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187C22⋊C8×D73C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190#546×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic, complemented
192#495×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#468×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#447×C73C2211yescharacteristic, complemented
200#447×C73C2211yescharacteristic, complemented
201C4×D8×C73C2211yescharacteristic, complemented
202#436×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—42no—
205#14556637—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic, complemented
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028C2311yescharacteristic
212C22×D292—21no—
213C22×D292—21no—
214C22×D292C2311yescharacteristic
215C22×D292C2311yescharacteristic
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—21no—
226C2×D4×D73—42no—
227C2×D4×D73—42no—
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C2×D4×D73C2311yescharacteristic
231C2×D4×D73C2311yescharacteristic
232C2×D4×D73C2311yescharacteristic
233C2×D4×D73C2311yescharacteristic
234C22×C4×D73C2311yescharacteristic
235#14556618—42no—
236#14556616—42no—
237#14556614—42no—
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×#11924015C2311yescharacteristic, complemented
241C2×#11924015C2311yescharacteristic, complemented
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic, complemented
245C2×#11924013—42no—
246C2×#11924013C2311yescharacteristic
247C2×#11924013C2311yescharacteristic
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic, complemented
253C2×#11924013C2311yescharacteristic, complemented
254D8×D73—42no—
255D8×D73—42no—
256C2×#11924012C2311yescharacteristic
257C2×#11924011C2311yescharacteristic, complemented
258C22×#10596831C2311yescharacteristic, complemented
259C2×C8×D73C2311yescharacteristic
260C2×C8×D73C2311yescharacteristic
261C2×C8×D73C2311yescharacteristic, complemented
262#14556591C2311yescharacteristic, complemented
263#14556588C2311yescharacteristic
264#14556587—21no—
265#14556587—21no—
266#14556587—21no—
267#14556587C2311yescharacteristic
268#14556587C2311yescharacteristic, complemented
269#14556584—21no—
270#14556584—21no—
271#14556584—21no—
272#14556582C2311yescharacteristic, complemented
273#14556581—21no—
274#14556580C2311yescharacteristic
275#14556578—21no—
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556574—21no—
285#14556574—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573D411yescharacteristic
293#14556572—21no—
294#14556572—21no—
295#14556570—21no—
296#14556569—21no—
297#14556569D411yescharacteristic
298#14556568—21no—
299#14556568D411yescharacteristic
300#14556567C2311yescharacteristic
301#14556567C2311yescharacteristic
302#14556567C2311yescharacteristic
303#14556566—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565—21no—
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556565C2311yescharacteristic, complemented
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556564—21no—
325#14556564D411yescharacteristic
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563D411yescharacteristic
331#14556562—21no—
332#14556562—21no—
333#14556562—21no—
334#14556562C2311yescharacteristic
335#14556562C2311yescharacteristic
336#14556562C2311yescharacteristic
337#14556562C2311yescharacteristic
338#14556562C2311yescharacteristic, complemented
339#14556562C2311yescharacteristic, complemented
340#14556561—21no—
341#14556561—21no—
342#14556561—21no—
343#14556561—21no—
344#14556561—21no—
345#14556561—21no—
346#14556561—21no—
347#14556561—21no—
348#14556561—21no—
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561D411yescharacteristic
353#14556560—21no—
354#14556560—21no—
355#14556560—21no—
356#14556560—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360#14556559—21no—
361#14556559—21no—
362#14556559—21no—
363#14556559D411yescharacteristic
364Q8×Dic73C2311yescharacteristic, complemented
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367C4×D292C2311yescharacteristic, complemented
368D4×Dic73C2311yescharacteristic
369D4×Dic73C2311yescharacteristic, complemented
370#14556553—21no—
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73C2311yescharacteristic
377C4×C22⋊D73C2311yescharacteristic
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556550C2311yescharacteristic
382#14556550C2311yescharacteristic, complemented
383#14556549—21no—
384#14556549—21no—
385#14556549C2311yescharacteristic
386#14556548C2311yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic, complemented
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#14556525C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556524C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556523C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402#14556522C2311yescharacteristic, complemented
403C4⋊#10596831C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556520C2311yescharacteristic, complemented
406#14556515C2311yescharacteristic, complemented
407#14556515C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556515C2311yescharacteristic, complemented
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556513C2311yescharacteristic, complemented
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic, complemented
427#14556512C2311yescharacteristic, complemented
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic, complemented
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#14556502C2311yescharacteristic, complemented
443#14556501C2311yescharacteristic, complemented
444C8×Dic73C2311yescharacteristic, complemented
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C22×D4×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic, complemented
449AGL(1,ℤ/8)×C73—42no—
450AGL(1,ℤ/8)×C73—42no—
451C2×Q16×C73C2311yescharacteristic, complemented
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic, complemented
455C2×SD16×C73C2311yescharacteristic, complemented
456C2×D8×C73C2311yescharacteristic
457C2×D8×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C2×M16×C73C2311yescharacteristic, complemented
462#124×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic, complemented
464#123×C73—21no—
465#123×C73—21no—
466C22⋊Q8×C73C2311yescharacteristic
467C22⋊Q8×C73C2311yescharacteristic, complemented
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#120×C73—21no—
473#120×C73—21no—
474C4×D4×C73C2311yescharacteristic
475C4×D4×C73C2311yescharacteristic
476C4×D4×C73C2311yescharacteristic, complemented
477C2×C22⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
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
489C4×C8×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—21no—
498C23×D73—44no—
499C23×D73—82no—
500C23×D73—82no—
501C23×D73C2×D411yescharacteristic
502#11924029—22no—
503#11924029—41no—
504#11924029—41no—
505#11924029—41no—
506#11924029—41no—
507#11924029—41no—
508#11924028—41no—
509#11924028—41no—
510#11924028—44no—
511#11924028—82no—
512C2×Dic146—21no—
513C2×Dic146C2×D411yescharacteristic
514C2×D292—22no—
515C2×D292—22no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—41no—
527C2×D292—41no—
528C2×D292—44no—
529C2×D292—82no—
530C2×D292C2×D411yescharacteristic
531C2×D292C2×D411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×D292C2411yescharacteristic
534C2×D292C2411yescharacteristic
535C2×D292C2411yescharacteristic
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—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73—21no—
555C2×C22⋊D73—21no—
556C2×C22⋊D73—44no—
557C2×C22⋊D73—82no—
558C2×C22⋊D73—82no—
559C2×C22⋊D73C2×D411yescharacteristic
560C2×C22⋊D73C2×D411yescharacteristic
561C2×C22⋊D73C2×D411yescharacteristic
562C2×C22⋊D73C2×D411yescharacteristic
563D4×D73—22no—
564D4×D73—22no—
565D4×D73—22no—
566D4×D73—22no—
567D4×D73—22no—
568D4×D73—41no—
569D4×D73—41no—
570D4×D73—41no—
571D4×D73—41no—
572D4×D73—41no—
573D4×D73—41no—
574D4×D73—41no—
575D4×D73—44no—
576D4×D73—44no—
577D4×D73—44no—
578D4×D73—44no—
579D4×D73—82no—
580D4×D73—82no—
581D4×D73—82no—
582C22×Dic73—21no—
583C22×Dic73—21no—
584C22×Dic73C2×D411yescharacteristic
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—41no—
594C2×C4×D73—41no—
595C2×C4×D73C2×D411yescharacteristic
596C2×C4×D73C2×D411yescharacteristic
597C2×C4×D73C2411yescharacteristic
598C2×C4×D73C2411yescharacteristic
599C2×C4×D73C2411yescharacteristic
600#11924015—22no—
601#11924015—41no—
602#11924015—41no—
603#11924015—41no—
604D584—22no—
605D584—41no—
606D584—41no—
607#11924013—22no—
608#11924013—22no—
609#11924013—22no—
610#11924013—41no—
611#11924013—41no—
612#11924013—41no—
613#11924013—41no—
614#11924013—41no—
615#11924012—41no—
616#11924011—41no—
617C2×#10596831—41no—
618C2×#10596831C2411yescharacteristic
619C2×#10596831C2411yescharacteristic
620C2×#10596831C2411yescharacteristic
621C2×#10596831C2411yescharacteristic
622C8×D73—41no—
623C8×D73—41no—
624C8×D73—41no—
625C4⋊Dic73—21no—
626C4⋊Dic73—21no—
627C4⋊Dic73—21no—
628C4⋊Dic73C2×D411yescharacteristic
629C4⋊Dic73C2411yescharacteristic
630C4⋊Dic73C2411yescharacteristic
631C4⋊Dic73C2411yescharacteristic
632C4⋊Dic73C2411yescharacteristic
633#11924007—21no—
634#11924007—21no—
635#11924007—21no—
636#11924007—21no—
637#11924007—21no—
638#11924007—21no—
639#11924007C2×D411yescharacteristic
640#11924007C2×D411yescharacteristic
641#11924007C2×D411yescharacteristic
642#11924007C2×D411yescharacteristic
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⋊Dic73—21no—
652C22⋊Dic73—21no—
653C22⋊Dic73C2×D411yescharacteristic
654C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
672#11924005C2×D411yescharacteristic
673#11924005C2×D411yescharacteristic
674#11924005C2×D411yescharacteristic
675#11924005C2×D411yescharacteristic
676#11924005C2×D411yescharacteristic
677C4×Dic73—21no—
678C4×Dic73—21no—
679C4×Dic73—21no—
680C4×Dic73—21no—
681C4×Dic73C2411yescharacteristic
682C24×C73—21no—
683C24×C73—21no—
684#41×C73—22no—
685#41×C73—41no—
686#41×C73—41no—
687#41×C73—41no—
688C2×Q8×C73C2411yescharacteristic
689C2×Q8×C73C2411yescharacteristic
690C2×D4×C73—22no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—21no—
694C2×D4×C73—21no—
695C2×D4×C73—21no—
696C2×D4×C73—21no—
697C2×D4×C73—41no—
698C2×D4×C73—41no—
699C2×D4×C73—41no—
700C2×D4×C73C2×D411yescharacteristic
701C2×D4×C73C2411yescharacteristic
702C2×D4×C73C2411yescharacteristic
703C2×D4×C73C2411yescharacteristic
704C2×D4×C73C2411yescharacteristic
705C22×C4×C73—21no—
706C22×C4×C73—21no—
707C22×C4×C73—21no—
708C22×C4×C73—21no—
709C22×C4×C73C2411yescharacteristic
710C22×C4×C73C2411yescharacteristic
711Q16×C73—41no—
712SD16×C73—22no—
713SD16×C73—41no—
714SD16×C73—41no—
715SD16×C73—41no—
716D8×C73—22no—
717D8×C73—22no—
718D8×C73—41no—
719D8×C73—41no—
720M16×C73—41no—
721M16×C73—41no—
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C2×C8×C73C2411yescharacteristic
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73C2×D411yescharacteristic
729C4⋊C4×C73C2411yescharacteristic
730C4⋊C4×C73C2411yescharacteristic
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73—21no—
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73C2×D411yescharacteristic
742C22⋊C4×C73C2×D411yescharacteristic
743C42×C73C2411yescharacteristic
744C23×C73—21no—
745C23×C73—21no—
746C23×C73—21no—
747C23×C73—21no—
748C23×C73—42no—
749C23×C73—42no—
750C23×C73—81no—
751C23×C73—81no—
752C23×C73—81no—
753C23×C73—81no—
754C23×C73C22×D411yescharacteristic
755C23×C73C22×D411yescharacteristic
756C22×D73—21no—
757C22×D73—24no—
758C22×D73—22no—
759C22×D73—21no—
760C22×D73—21no—
761C22×D73—21no—
762C22×D73—41no—
763C22×D73—41no—
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—42no—
773C22×D73—42no—
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—81no—
784C22×D73—81no—
785C22×D73—81no—
786C22×D73—81no—
787C22×D73—816no—
788C22×D73C22×D411yescharacteristic
789C22×D73C22×D411yescharacteristic
790C22×D73C22×D411yescharacteristic
791Q8×C73—21no—
792Q8×C73—21no—
793Q8×C73—21no—
794Q8×C73—21no—
795D4×C73—21no—
796D4×C73—21no—
797D4×C73—21no—
798D4×C73—21no—
799D4×C73—21no—
800D4×C73—21no—
801D4×C73—21no—
802D4×C73—41no—
803D4×C73—42no—
804D4×C73—42no—
805D4×C73—81no—
806D4×C73—81no—
807D4×C73—81no—
808D4×C73—81no—
809D4×C73H(5,𝔽2)12yes—
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—21no—
818C2×C4×C73—42no—
819C2×C4×C73—81no—
820C2×C4×C73—81no—
821C2×C4×C73—81no—
822C2×C4×C73C22×D411yescharacteristic
823C2×C4×C73C22×D411yescharacteristic
824C2×C4×C73C22×D411yescharacteristic
825C2×C4×C73C22×D411yescharacteristic
826C2×C4×C73C2511yescharacteristic
827C22⋊D73—24no—
828C22⋊D73—22no—
829C22⋊D73—41no—
830C22⋊D73—41no—
831C22⋊D73—41no—
832C22⋊D73—42no—
833C22⋊D73—42no—
834C22⋊D73—42no—
835C22⋊D73—42no—
836C22⋊D73—42no—
837C22⋊D73—42no—
838C22⋊D73—81no—
839C22⋊D73—81no—
840C22⋊D73—81no—
841C22⋊D73—81no—
842C22⋊D73—81no—
843C22⋊D73—81no—
844C22⋊D73—81no—
845C22⋊D73—81no—
846C22⋊D73—81no—
847C22⋊D73—81no—
848C22⋊D73—81no—
849C22⋊D73—81no—
850C22⋊D73—81no—
851C2×Dic73—21no—
852C2×Dic73—21no—
853C2×Dic73—21no—
854C2×Dic73—21no—
855C2×Dic73—41no—
856C2×Dic73—81no—
857C2×Dic73—81no—
858C2×Dic73C22×D411yescharacteristic
859C2×Dic73C22×D411yescharacteristic
860C2×Dic73C22×D411yescharacteristic
861C2×Dic73C22×D411yescharacteristic
862C2×Dic73C22×D411yescharacteristic
863D292—22no—
864D292—21no—
865D292—21no—
866D292—21no—
867D292—21no—
868D292—21no—
869D292—21no—
870D292—21no—
871D292—41no—
872D292—42no—
873D292—42no—
874D292—42no—
875D292—42no—
876D292—42no—
877D292—81no—
878D292—81no—
879D292—81no—
880D292—81no—
881D292—81no—
882D292H(5,𝔽2)12yes—
883C4×D73—21no—
884C4×D73—21no—
885C4×D73—21no—
886C4×D73—21no—
887C4×D73—21no—
888C4×D73—21no—
889C4×D73—41no—
890C4×D73—41no—
891C4×D73—42no—
892C4×D73—42no—
893C4×D73—42no—
894C4×D73—81no—
895C4×D73—81no—
896C4×D73—81no—
897C4×D73—81no—
898C4×D73—81no—
899Dic146—41no—
900Dic146—81no—
901C8×C73—21no—
902C8×C73—21no—
903C8×C73—21no—
904C8×C73—21no—
905#10596831—21no—
906#10596831—21no—
907#10596831—21no—
908#10596831—21no—
909C22×C73—21no—
910C22×C73—21no—
911C22×C73—21no—
912C22×C73—22no—
913C22×C73—21no—
914C22×C73—21no—
915C22×C73—21no—
916C22×C73—41no—
917C22×C73—41no—
918C22×C73—41no—
919C22×C73—41no—
920C22×C73—41no—
921C22×C73—41no—
922C22×C73—41no—
923C22×C73—41no—
924C22×C73—41no—
925C22×C73—41no—
926C22×C73—41no—
927C22×C73—84no—
928C22×C73—162no—
929C22×C73C23×D411yescharacteristic
930C2×D73—21no—
931C2×D73—21no—
932C2×D73—21no—
933C2×D73—21no—
934C2×D73—21no—
935C2×D73—21no—
936C2×D73—22no—
937C2×D73—21no—
938C2×D73—21no—
939C2×D73—44no—
940C2×D73—41no—
941C2×D73—41no—
942C2×D73—41no—
943C2×D73—41no—
944C2×D73—41no—
945C2×D73—41no—
946C2×D73—41no—
947C2×D73—41no—
948C2×D73—41no—
949C2×D73—41no—
950C2×D73—41no—
951C2×D73—84no—
952C2×D73—84no—
953C2×D73—84no—
954C2×D73—84no—
955C2×D73—84no—
956C2×D73—162no—
957C2×D73—162no—
958C2×D73—162no—
959C2×D73#57612yes—
960C4×C73—21no—
961C4×C73—21no—
962C4×C73—21no—
963C4×C73—21no—
964C4×C73—41no—
965C4×C73—41no—
966C4×C73—41no—
967C4×C73—41no—
968C4×C73C2×H(5,𝔽2)11yescharacteristic
969C4×C73C2×H(5,𝔽2)11yescharacteristic
970Dic73—21no—
971Dic73—21no—
972Dic73—21no—
973Dic73—21no—
974Dic73—21no—
975Dic73—41no—
976Dic73—41no—
977Dic73—41no—
978Dic73—41no—
979#61609—731nomaximal, Sylow
980C2×C73—41no—
981C2×C73—42no—
982C2×C73—41no—
983C2×C73—81no—
984C2×C73—81no—
985C2×C73—81no—
986C2×C73#348411yescharacteristic
987C2×C73C2×#57611yescharacteristic
988C2×C73#358511yescharacteristic
989D73—22no—
990D73—41no—
991D73—41no—
992D73—42no—
993D73—81no—
994D73—81no—
995D73—81no—
996#3542—731no—
997#3484—731no—
998#3325—731no—
999#3322—731no—
1000#3319—731no—
1001#3318—731no—
1002#3310—731no—
1003#3306—731no—
1004#3296—731no—
1005#3294—731no—
1006#3280—731no—
1007D4×D8—731no—
1008#3274—731no—
1009#3273D7311yescharacteristic, complemented
1010#3268—731no—
1011#3264—731no—
1012#3264—731no—
1013#3264—731no—
1014#3224—731no—
1015#3220—731no—
1016#3199—731no—
1017#3198—731no—
1018#3194—731no—
1019#3191—731no—
1020#3122—731no—
1021#3118—731no—
1022#3012—731no—
1023#3008—731no—
1024#3003—731no—
1025C2×#447—731no—
1026#2976—731no—
1027C73#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—731no—
1029C23×D4—731no—
1030C2×AGL(1,ℤ/8)—731no—
1031C2×AGL(1,ℤ/8)—731no—
1032C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1033C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
1034C2×#135—731no—
1035C22×D8—731no—
1036C22×D8—731no—
1037C22×D8—731no—
1038#562—1461no—
1039#560—1461no—
1040#555—731no—
1041#553—731no—
1042#552—731no—
1043#551—1461no—
1044#550—731no—
1045#547—731no—
1046#546—731no—
1047#546—731no—
1048#546—731no—
1049#546—731no—
1050#546—1461no—
1051#546—1461no—
1052#546—1461no—
1053#546C2×D7311yescharacteristic, complemented
1054#546C2×D7311yescharacteristic, complemented
1055D42—731no—
1056D42—731no—
1057D42—731no—
1058D42—731no—
1059D42—731no—
1060D42—1461no—
1061D42—1461no—
1062#542—731no—
1063#540—731no—
1064#540—1461no—
1065#538—1461no—
1066#537—731no—
1067#535—731no—
1068#535—731no—
1069#535—731no—
1070#535—1461no—
1071#534—1461no—
1072#534—1461no—
1073#534—1461no—
1074#525—731no—
1075#525—731no—
1076#525—731no—
1077C2×#121—731no—
1078C2×#120—1461no—
1079C2×#120—1461no—
1080#518—731no—
1081#496—731no—
1082#496—731no—
1083#495C2×D7311yescharacteristic, complemented
1084#493—731no—
1085#490—731no—
1086#489—731no—
1087#488—731no—
1088#486—731no—
1089#485—731no—
1090#485—731no—
1091#483—731no—
1092#482—731no—
1093#482—731no—
1094#482—731no—
1095#482—731no—
1096#482—731no—
1097#482—731no—
1098#481—731no—
1099#480—731no—
1100#480—731no—
1101#478—731no—
1102#478—731no—
1103#476—731no—
1104#474—731no—
1105#469—731no—
1106#469—731no—
1107#469—731no—
1108#469—731no—
1109#469—731no—
1110#468—731no—
1111#468C2×D7311yescharacteristic, complemented
1112#468C2×D7311yescharacteristic, complemented
1113#467—731no—
1114#466—731no—
1115#466—731no—
1116#466—731no—
1117#466—731no—
1118#465—731no—
1119#465—731no—
1120#465—731no—
1121#464—731no—
1122#463—731no—
1123#463—731no—
1124#463—731no—
1125#463C2×D7311yescharacteristic, complemented
1126#463C2×D7311yescharacteristic, complemented
1127#460—731no—
1128#459—731no—
1129#459—731no—
1130#459—731no—
1131#459—731no—
1132#459—731no—
1133#452—731no—
1134#452C2×D7311yescharacteristic, complemented
1135#452C2×D7311yescharacteristic, complemented
1136#450—731no—
1137#450—731no—
1138#450—731no—
1139#450—731no—
1140#450—731no—
1141#450—731no—
1142#449—731no—
1143#449—731no—
1144#449—731no—
1145#449—731no—
1146#449—731no—
1147#449—731no—
1148#449—731no—
1149#449—731no—
1150#449—731no—
1151#447—731no—
1152#447—731no—
1153#447—731no—
1154#447—731no—
1155#447—731no—
1156#447—731no—
1157#447—731no—
1158#447—731no—
1159#447—731no—
1160#447—731no—
1161#447—731no—
1162#447—731no—
1163#447—731no—
1164#447—731no—
1165#447—731no—
1166#447—731no—
1167#447C2×D7311yescharacteristic, complemented
1168#447C2×D7311yescharacteristic, complemented
1169#442—731no—
1170#442—731no—
1171#442—731no—
1172#440—731no—
1173C4×SD16—731no—
1174C4×D8—731no—
1175C4×D8—731no—
1176C4×D8C2×D7311yescharacteristic, complemented
1177#436—731no—
1178#436C2×D7311yescharacteristic, complemented
1179#435—731no—
1180#435—731no—
1181#435—731no—
1182#435—731no—
1183C8×D4—731no—
1184C8×D4—731no—
1185#433—731no—
1186#433—731no—
1187#418—731no—
1188#418—731no—
1189#418—731no—
1190#417—731no—
1191#416—731no—
1192C2×#102—731no—
1193C2×#102—731no—
1194C2×#102—731no—
1195#408—731no—
1196#408—731no—
1197#407—731no—
1198C2×C22⋊C8—731no—
1199C25—1461no—
1200H(5,𝔽2)—2922no—
1201H(5,𝔽2)—2922no—
1202C2×#41—731no—
1203C2×#41—731no—
1204C2×#41—731no—
1205C2×#41—731no—
1206C2×#41—1461no—
1207C2×#41—1461no—
1208C2×#41C22×D7311yescharacteristic
1209C2×#41C22×D7311yescharacteristic
1210C22×D4—2922no—
1211C22×D4—2922no—
1212C22×D4—731no—
1213C22×D4—731no—
1214C22×D4—731no—
1215C22×D4—731no—
1216C22×D4—731no—
1217C22×D4—731no—
1218C22×D4—731no—
1219C22×D4—731no—
1220C22×D4—1461no—
1221C22×D4—1461no—
1222C22×D4—1461no—
1223C22×D4—1461no—
1224C22×D4—1461no—
1225C22×D4—1461no—
1226C22×D4—1461no—
1227C22×D4—1461no—
1228C22×D4—1461no—
1229C22×D4—1461no—
1230C22×D4—1461no—
1231C22×D4—1461no—
1232C22×D4C22×D7311yescharacteristic
1233C22×D4C22×D7311yescharacteristic, complemented
1234C23×C4—731no—
1235AGL(1,ℤ/8)—42no—
1236AGL(1,ℤ/8)—42no—
1237AGL(1,ℤ/8)—2922no—
1238AGL(1,ℤ/8)—2922no—
1239#135—2922no—
1240C2×Q16C22×D7311yescharacteristic, complemented
1241C2×SD16—731no—
1242C2×SD16—731no—
1243C2×SD16—731no—
1244C2×SD16—731no—
1245C2×SD16C22×D7311yescharacteristic
1246C2×SD16C22×D7311yescharacteristic
1247C2×SD16C22×D7311yescharacteristic, complemented
1248C2×SD16C22×D7311yescharacteristic, complemented
1249C2×D8—2922no—
1250C2×D8—2922no—
1251C2×D8—2922no—
1252C2×D8—731no—
1253C2×D8—731no—
1254C2×D8—731no—
1255C2×D8—731no—
1256C2×D8—731no—
1257C2×D8—731no—
1258C2×D8—731no—
1259C2×D8—731no—
1260C2×D8—731no—
1261C2×D8—731no—
1262C2×D8—731no—
1263C2×D8C22×D7311yescharacteristic
1264C2×D8C22×D7311yescharacteristic
1265C2×D8C22×D7311yescharacteristic
1266C2×D8C22×D7311yescharacteristic
1267C2×M16—731no—
1268C2×M16—731no—
1269C2×M16C22×D7311yescharacteristic
1270C2×M16C22×D7311yescharacteristic, complemented
1271C22×C8—731no—
1272C22×C8—731no—
1273C22×C8—731no—
1274C22×C8—731no—
1275C4⋊Q8—731no—
1276#127—731no—
1277#127—731no—
1278#127—731no—
1279#127—1461no—
1280#127—1461no—
1281#127—1461no—
1282#126—1461no—
1283#126—1461no—
1284#126—1461no—
1285#125—731no—
1286#125—1461no—
1287#124—731no—
1288#124—1461no—
1289#124—1461no—
1290#124—1461no—
1291#124—1461no—
1292#124—1461no—
1293#124C22×D7311yescharacteristic
1294#124C22×D7311yescharacteristic, complemented
1295#123—21no—
1296#123—21no—
1297#123—731no—
1298#123—731no—
1299#123—1461no—
1300#123—1461no—
1301#123—1461no—
1302#123—1461no—
1303#123—1461no—
1304#123—1461no—
1305#123—1461no—
1306#123—1461no—
1307#123—1461no—
1308#123—1461no—
1309#123—1461no—
1310#123—1461no—
1311#123—1461no—
1312C22⋊Q8—731no—
1313C22⋊Q8—731no—
1314C22⋊Q8—731no—
1315C22⋊Q8—731no—
1316C22⋊Q8—731no—
1317C22⋊Q8—1461no—
1318C22⋊Q8—1461no—
1319C22⋊Q8—1461no—
1320C22⋊Q8C22×D7311yescharacteristic
1321C22⋊Q8C22×D7311yescharacteristic, complemented
1322#121—21no—
1323#121—21no—
1324#121—731no—
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—731no—
1337#121—731no—
1338#121—731no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121—1461no—
1351#121—1461no—
1352#121—1461no—
1353#121—1461no—
1354#121—1461no—
1355#121—1461no—
1356#121—1461no—
1357#121—1461no—
1358#121—1461no—
1359#121—1461no—
1360#121—1461no—
1361#121C22×D7311yescharacteristic
1362#121C22×D7311yescharacteristic
1363#120—21no—
1364#120—21no—
1365#120—731no—
1366#120—731no—
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—
1380#120—1461no—
1381#120—1461no—
1382#120—1461no—
1383#120—1461no—
1384#120—1461no—
1385#120—1461no—
1386#120—1461no—
1387#120—1461no—
1388#120—1461no—
1389C4×Q8—731no—
1390C4×D4—731no—
1391C4×D4—731no—
1392C4×D4—731no—
1393C4×D4—731no—
1394C4×D4—731no—
1395C4×D4—731no—
1396C4×D4—731no—
1397C4×D4—731no—
1398C4×D4—1461no—
1399C4×D4—1461no—
1400C4×D4—1461no—
1401C4×D4—1461no—
1402C4×D4—1461no—
1403C4×D4—1461no—
1404C4×D4—1461no—
1405C4×D4—1461no—
1406C4×D4C22×D7311yescharacteristic
1407C4×D4C22×D7311yescharacteristic
1408C4×D4C22×D7311yescharacteristic, complemented
1409#117—731no—
1410#117—731no—
1411#117—731no—
1412#117—731no—
1413#117—1461no—
1414#117—1461no—
1415C2×C4⋊C4—731no—
1416C2×C4⋊C4—731no—
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—1461no—
1420C2×C22⋊C4—1461no—
1421C2×C22⋊C4—1461no—
1422C2×C22⋊C4—1461no—
1423C2×C22⋊C4—1461no—
1424C2×C22⋊C4—1461no—
1425C2×C22⋊C4—1461no—
1426#107—731no—
1427#107—731no—
1428#107—731no—
1429#107C22×D7311yescharacteristic, complemented
1430#106—731no—
1431#106—731no—
1432#106—731no—
1433#106—731no—
1434C4⋊C8—731no—
1435C4⋊C8—731no—
1436C4⋊C8—731no—
1437C4⋊C8C22×D7311yescharacteristic, complemented
1438#103—731no—
1439#103—731no—
1440#103—731no—
1441#103—731no—
1442#103C22×D7311yescharacteristic, complemented
1443#103C22×D7311yescharacteristic, complemented
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#102—731no—
1458#102—731no—
1459#102—731no—
1460#102—731no—
1461#102—731no—
1462#102—731no—
1463#102—731no—
1464#102—731no—
1465#102—731no—
1466#102C22×D7311yescharacteristic
1467#102C22×D7311yescharacteristic
1468#102C22×D7311yescharacteristic, complemented
1469#102C22×D7311yescharacteristic, complemented
1470C22⋊C8—731no—
1471C22⋊C8—731no—
1472C22⋊C8—731no—
1473C22⋊C8—731no—
1474C22⋊C8—731no—
1475C22⋊C8—731no—
1476C22⋊C8—731no—
1477C22⋊C8—731no—
1478C22⋊C8—731no—
1479C22⋊C8—731no—
1480C22⋊C8C22×D7311yescharacteristic
1481C22⋊C8C22×D7311yescharacteristic, complemented
1482#97—731no—
1483#97—731no—
1484C4×C8—731no—
1485C4×C8C22×D7311yescharacteristic, complemented
1486C24—21no—
1487C24—21no—
1488C24—2924no—
1489C24—5842no—
1490C24—5842no—
1491C24—731no—
1492C24—1461no—
1493C24—1461no—
1494C24—1461no—
1495C24—1461no—
1496C24—1461no—
1497C24—1461no—
1498C24—1461no—
1499C24—1461no—
1500#41—22no—
1501#41—41no—
1502#41—41no—
1503#41—41no—
1504#41—2921no—
1505#41—2921no—
1506#41—2924no—
1507#41—2921no—
1508#41—2921no—
1509#41—2921no—
1510#41—2921no—
1511#41—2921no—
1512#41—5842no—
1513#41—1462no—
1514C2×Q8—731no—
1515C2×Q8—1461no—
1516C2×Q8C23×D7311yescharacteristic
1517C2×Q8C23×D7311yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—41no—
1528C2×D4—2921no—
1529C2×D4—2921no—
1530C2×D4—2924no—
1531C2×D4—2924no—
1532C2×D4—2924no—
1533C2×D4—2924no—
1534C2×D4—2924no—
1535C2×D4—2924no—
1536C2×D4—2921no—
1537C2×D4—2921no—
1538C2×D4—2921no—
1539C2×D4—2921no—
1540C2×D4—2921no—
1541C2×D4—2921no—
1542C2×D4—2921no—
1543C2×D4—5842no—
1544C2×D4—5842no—
1545C2×D4—5842no—
1546C2×D4—5842no—
1547C2×D4—5842no—
1548C2×D4—5842no—
1549C2×D4—731no—
1550C2×D4—731no—
1551C2×D4—731no—
1552C2×D4—731no—
1553C2×D4—731no—
1554C2×D4—731no—
1555C2×D4—731no—
1556C2×D4—731no—
1557C2×D4—731no—
1558C2×D4—731no—
1559C2×D4—1461no—
1560C2×D4—1461no—
1561C2×D4—1461no—
1562C2×D4—1462no—
1563C2×D4—1462no—
1564C2×D4—1461no—
1565C2×D4—1461no—
1566C2×D4—1461no—
1567C2×D4—1461no—
1568C2×D4—1461no—
1569C2×D4—1461no—
1570C2×D4—1461no—
1571C2×D4—1461no—
1572C2×D4—1461no—
1573C2×D4—1461no—
1574C2×D4—1461no—
1575C2×D4—1461no—
1576C2×D4—1461no—
1577C2×D4—1462no—
1578C2×D4—1462no—
1579C2×D4—1461no—
1580C2×D4—1461no—
1581C2×D4—1462no—
1582C2×D4—1462no—
1583C2×D4—1461no—
1584C2×D4—1461no—
1585C2×D4—1461no—
1586C2×D4—1461no—
1587C2×D4—1461no—
1588C2×D4—1461no—
1589C2×D4—1461no—
1590C2×D4—1461no—
1591C2×D4—1462no—
1592C2×D4—1461no—
1593C2×D4—1461no—
1594C2×D4—1461no—
1595C2×D4—1461no—
1596C2×D4D4×D7311yescharacteristic
1597C2×D4C23×D7311yescharacteristic
1598C2×D4C23×D7311yescharacteristic
1599C2×D4C23×D7311yescharacteristic
1600C2×D4C23×D7311yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—2921no—
1606C22×C4—2921no—
1607C22×C4—731no—
1608C22×C4—731no—
1609C22×C4—731no—
1610C22×C4—731no—
1611C22×C4—731no—
1612C22×C4—731no—
1613C22×C4—1461no—
1614C22×C4—1461no—
1615C22×C4—1461no—
1616C22×C4—1461no—
1617C22×C4—1461no—
1618C22×C4—1461no—
1619C22×C4—1461no—
1620C22×C4—1461no—
1621C22×C4—1461no—
1622C22×C4—1461no—
1623C22×C4C23×D7311yescharacteristic
1624C22×C4C23×D7311yescharacteristic
1625Q16—41no—
1626SD16—22no—
1627SD16—41no—
1628SD16—41no—
1629SD16—41no—
1630SD16—2921no—
1631SD16—2921no—
1632SD16—2921no—
1633SD16—1462no—
1634D8—22no—
1635D8—22no—
1636D8—41no—
1637D8—41no—
1638D8—2921no—
1639D8—2921no—
1640D8—2921no—
1641D8—2921no—
1642D8—2921no—
1643D8—2921no—
1644D8—2921no—
1645D8—1462no—
1646D8—1462no—
1647D8—1462no—
1648D8—1462no—
1649M16—41no—
1650M16—41no—
1651M16—2921no—
1652M16—2921no—
1653C2×C8—2921no—
1654C2×C8—2921no—
1655C2×C8—2921no—
1656C2×C8—2921no—
1657C2×C8—731no—
1658C2×C8—731no—
1659C2×C8—731no—
1660C2×C8—731no—
1661C2×C8C23×D7311yescharacteristic
1662C2×C8C23×D7311yescharacteristic
1663C2×C8C23×D7311yescharacteristic
1664C2×C8C23×D7311yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—731no—
1668C4⋊C4—731no—
1669C4⋊C4—731no—
1670C4⋊C4—731no—
1671C4⋊C4—731no—
1672C4⋊C4—731no—
1673C4⋊C4—731no—
1674C4⋊C4—731no—
1675C4⋊C4—731no—
1676C4⋊C4—1461no—
1677C4⋊C4—1461no—
1678C4⋊C4—1461no—
1679C4⋊C4—1461no—
1680C4⋊C4—1461no—
1681C4⋊C4—1461no—
1682C4⋊C4—1461no—
1683C4⋊C4—1461no—
1684C4⋊C4—1461no—
1685C4⋊C4D4×D7311yescharacteristic
1686C4⋊C4C23×D7311yescharacteristic
1687C4⋊C4C23×D7311yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—731no—
1699C22⋊C4—731no—
1700C22⋊C4—731no—
1701C22⋊C4—731no—
1702C22⋊C4—731no—
1703C22⋊C4—731no—
1704C22⋊C4—731no—
1705C22⋊C4—731no—
1706C22⋊C4—1461no—
1707C22⋊C4—1461no—
1708C22⋊C4—1461no—
1709C22⋊C4—1461no—
1710C22⋊C4—1461no—
1711C22⋊C4—1461no—
1712C22⋊C4—1461no—
1713C22⋊C4—1461no—
1714C22⋊C4—1461no—
1715C22⋊C4—1461no—
1716C22⋊C4—1461no—
1717C22⋊C4—1461no—
1718C22⋊C4—1461no—
1719C22⋊C4—1461no—
1720C22⋊C4—1461no—
1721C22⋊C4—1461no—
1722C22⋊C4—1461no—
1723C22⋊C4—1461no—
1724C22⋊C4—1461no—
1725C22⋊C4—1461no—
1726C22⋊C4—1461no—
1727C22⋊C4—1461no—
1728C22⋊C4—1461no—
1729C22⋊C4—1461no—
1730C22⋊C4—1461no—
1731C22⋊C4—1461no—
1732C22⋊C4D4×D7311yescharacteristic
1733C22⋊C4D4×D7311yescharacteristic
1734C42—731no—
1735C42—1461no—
1736C42—1461no—
1737C42—1461no—
1738C42—1461no—
1739C42C23×D7311yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—42no—
1745C23—42no—
1746C23—81no—
1747C23—81no—
1748C23—81no—
1749C23—81no—
1750C23—2921no—
1751C23—2921no—
1752C23—2922no—
1753C23—2922no—
1754C23—2922no—
1755C23—2922no—
1756C23—2922no—
1757C23—2922no—
1758C23—2922no—
1759C23—2922no—
1760C23—2922no—
1761C23—2922no—
1762C23—5841no—
1763C23—5841no—
1764C23—5841no—
1765C23—5841no—
1766C23—5841no—
1767C23—5841no—
1768C23—5841no—
1769C23—5841no—
1770C23—5841no—
1771C23—5841no—
1772C23—5841no—
1773C23—5841no—
1774C23—5841no—
1775C23—58416no—
1776C23—731no—
1777C23—731no—
1778C23—731no—
1779C23—1462no—
1780C23—1464no—
1781C23—1461no—
1782C23—1461no—
1783C23—1461no—
1784C23—1461no—
1785C23C2×D4×D7311yescharacteristic
1786C23C2×D4×D7311yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—21no—
1790Q8—21no—
1791Q8—2921no—
1792Q8—5841no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—41no—
1801D4—42no—
1802D4—42no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—2922no—
1808D4—2922no—
1809D4—2921no—
1810D4—2922no—
1811D4—2922no—
1812D4—2922no—
1813D4—2922no—
1814D4—2922no—
1815D4—2922no—
1816D4—2922no—
1817D4—2921no—
1818D4—2921no—
1819D4—2921no—
1820D4—2922no—
1821D4—2922no—
1822D4—5841no—
1823D4—5841no—
1824D4—5841no—
1825D4—5841no—
1826D4—5841no—
1827D4—5841no—
1828D4—5841no—
1829D4—5841no—
1830D4—5841no—
1831D4—5841no—
1832D4—5841no—
1833D4—5841no—
1834D4—5841no—
1835D4—5841no—
1836D4—5841no—
1837D4—5841no—
1838D4—5841no—
1839D4—5841no—
1840D4—732no—
1841D4—1462no—
1842D4—1462no—
1843D4—1464no—
1844D4—1461no—
1845D4—1461no—
1846D4—1461no—
1847D4—1461no—
1848D4—1461no—
1849D4—1461no—
1850D4—1461no—
1851D4#1455663612yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—42no—
1861C2×C4—81no—
1862C2×C4—81no—
1863C2×C4—81no—
1864C2×C4—2921no—
1865C2×C4—2921no—
1866C2×C4—2922no—
1867C2×C4—2922no—
1868C2×C4—2922no—
1869C2×C4—2921no—
1870C2×C4—5841no—
1871C2×C4—5841no—
1872C2×C4—5841no—
1873C2×C4—5841no—
1874C2×C4—5841no—
1875C2×C4—5841no—
1876C2×C4—5841no—
1877C2×C4—731no—
1878C2×C4—731no—
1879C2×C4—731no—
1880C2×C4—731no—
1881C2×C4—731no—
1882C2×C4—1461no—
1883C2×C4—1461no—
1884C2×C4—1461no—
1885C2×C4—1461no—
1886C2×C4—1461no—
1887C2×C4—1461no—
1888C2×C4—1461no—
1889C2×C4—1461no—
1890C2×C4—1461no—
1891C2×C4—1461no—
1892C2×C4C2×D4×D7311yescharacteristic
1893C2×C4C2×D4×D7311yescharacteristic
1894C2×C4C2×D4×D7311yescharacteristic
1895C2×C4C2×D4×D7311yescharacteristic
1896C2×C4C24×D7311yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1461no—
1902C8—1461no—
1903C8—1461no—
1904C8—1461no—
1905C22—21no—
1906C22—21no—
1907C22—22no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—21no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—84no—
1924C22—162no—
1925C22—2924no—
1926C22—2921no—
1927C22—2921no—
1928C22—2921no—
1929C22—2921no—
1930C22—2921no—
1931C22—2921no—
1932C22—2921no—
1933C22—2921no—
1934C22—2921no—
1935C22—2921no—
1936C22—2921no—
1937C22—5844no—
1938C22—5844no—
1939C22—5844no—
1940C22—5844no—
1941C22—5844no—
1942C22—732no—
1943C22—11682no—
1944C22—11682no—
1945C22—11682no—
1946C22—1461no—
1947C22—1462no—
1948C22—1461no—
1949C22—1461no—
1950C22—1461no—
1951C22—1461no—
1952C22—1461no—
1953C22—1461no—
1954C22—1461no—
1955C22C22×D4×D7311yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—2921no—
1965C4—2921no—
1966C4—2921no—
1967C4—2921no—
1968C4—1461no—
1969C4—1461no—
1970C4—1461no—
1971C4—1461no—
1972C4—1461no—
1973C4H(5,𝔽2)×D7311yescharacteristic
1974C4C2×#1455663611yescharacteristic
1975C2—41no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—81no—
1981C2—2921no—
1982C2—2922no—
1983C2—2921no—
1984C2—5841no—
1985C2—5841no—
1986C2—5841no—
1987C2—1462no—
1988C2#2262355911yescharacteristic
1989C2#576×D7311yescharacteristic
1990C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3273C2
socleC22×C73C23×D4
hypercenter#3273D73
hypocenterC73#61609
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3273

Complements

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

NH ≅ G/Ntype
1. #22624245C2semidirect
2. #22623561C2semidirect
3. #22622174C2semidirect
4. #22622138C2semidirect
5. #22622087C2semidirect
6. #22622065C2semidirect
7. #22621947C2semidirect
8. #22621899C2semidirect
9. #22621759C2semidirect
10. #22621746C2semidirect
11. #22621615C2semidirect
12. #22621601C2semidirect
13. #22621545C2semidirect
14. #22621474C2semidirect
15. #22621417C2semidirect
16. #22621412C2semidirect
17. #22621405C2semidirect
18. #22621018C2semidirect
19. #22620978C2semidirect
20. #22620794C2semidirect
21. #22620784C2semidirect
22. #22620746C2semidirect
23. #22620723C2semidirect
24. #22620171C2semidirect
25. #22620114C2semidirect
26. #22619239C2semidirect
27. #22619198C2semidirect
28. #22619156C2semidirect
29. #447×D73C2semidirect
30. #22618975C2semidirect
31. C73×#3273C2semidirect
32. C2×#14556637C22semidirect
33. C22×D4×D73C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556616C22semidirect
36. C2×#14556614C22semidirect
37. C22×#11924013C22semidirect
38. C2×D8×D73C22semidirect
39. C2×D8×D73C22semidirect
42. #17989302C22semidirect
43. #17989284C22semidirect
44. #17989271C22semidirect
46. #17989256C22semidirect
47. #17989242C22semidirect
48. #17989230C22semidirect
49. #17989230C22semidirect
51. #17989228C22semidirect
55. D4×D292C22semidirect
56. D4×D292C22semidirect
59. D4×C22⋊D73C22semidirect
60. D4×C22⋊D73C22semidirect
62. #17989206C22semidirect
64. #17989188C22semidirect
66. #17989167C22semidirect
67. #17989155C22semidirect
68. #17989154C22semidirect
70. #17989153C22semidirect
74. #17989100C22semidirect
76. #17989094C22semidirect
77. #121×D73C22semidirect
80. #17989059C22semidirect
81. #17988977C22semidirect
82. #17988973C22semidirect
83. #17988962C22semidirect
84. #17988950C22semidirect
85. #17988946C22semidirect
86. #17988943C22semidirect
87. #17988934C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988916C22semidirect
91. #17988914C22semidirect
92. #17988912C22semidirect
93. #17988912C22semidirect
94. #17988910C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988904C22semidirect
98. #17988902C22semidirect
99. #17988902C22semidirect
100. #17988890C22semidirect
101. #17988885C22semidirect
102. #17988878C22semidirect
103. #17988867C22semidirect
104. #17988840C22semidirect
105. #17988840C22semidirect
106. #17988839C22semidirect
107. #17988838C22semidirect
108. #17988837C22semidirect
109. #17988835C22semidirect
110. #17988825C22semidirect
111. #17988822C22semidirect
112. #17988822C22semidirect
113. #17988821C22semidirect
114. #17988820C22semidirect
115. #17988819C22semidirect
116. #17988818C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988804C22semidirect
120. #17988799C22semidirect
121. #17988799C22semidirect
122. #17988785C22semidirect
123. #17988783C22semidirect
124. #17988782C22semidirect
125. #17988781C22semidirect
126. #17988780C22semidirect
127. #17988780C22semidirect
128. #17988748C22semidirect
129. #17988737C22semidirect
130. #17988736C22semidirect
131. #17988736C22semidirect
132. #17988736C22semidirect
133. #17988736C22semidirect
134. #17988736C22semidirect
135. #17988735C22semidirect
136. #17988735C22semidirect
137. #17988732C22semidirect
138. #17988732C22semidirect
139. #17988731C22semidirect
140. #17988731C22semidirect
141. #17988731C22semidirect
142. #17988731C22semidirect
143. #17988731C22semidirect
144. #17988723C22semidirect
145. #17988723C22semidirect
146. #17988722C22semidirect
147. #17988722C22semidirect
148. #17988722C22semidirect
149. #17988721C22semidirect
150. #17988721C22semidirect
151. #17988720C22semidirect
153. #17988719C22semidirect
154. #17988719C22semidirect
155. #17988719C22semidirect
156. #17988719C22semidirect
157. #17988719C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988699C22semidirect
161. #17988697C22semidirect
162. #17988697C22semidirect
163. #17988690C22semidirect
164. SD16×Dic73C22semidirect
165. C4×D584C22semidirect
166. #17988667C22semidirect
167. #17988663C22semidirect
168. #17988661C22semidirect
169. #17988659C22semidirect
170. #17988657C22semidirect
171. #17988656C22semidirect
172. C8×D292C22semidirect
173. #17988650C22semidirect
174. #17988647C22semidirect
175. #17988646C22semidirect
176. #17988593C22semidirect
177. #17988593C22semidirect
178. #17988592C22semidirect
179. #17988587C22semidirect
180. #17988583C22semidirect
181. #102×D73C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. C22⋊C8×D73C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. #546×C73C22semidirect
191. #546×C73C22semidirect
192. #495×C73C22semidirect
193. #468×C73C22semidirect
194. #468×C73C22semidirect
195. #463×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #447×C73C22semidirect
200. #447×C73C22semidirect
201. C4×D8×C73C22semidirect
202. #436×C73C22semidirect
208. C2×#11924029C23semidirect
240. C2×#11924015C23semidirect
241. C2×#11924015C23semidirect
244. C2×D584C23semidirect
252. C2×#11924013C23semidirect
253. C2×#11924013C23semidirect
257. C2×#11924011C23semidirect
258. C22×#10596831C23semidirect
261. C2×C8×D73C23semidirect
262. #14556591C23semidirect
268. #14556587C23semidirect
272. #14556582C23semidirect
315. #14556565C23semidirect
338. #14556562C23semidirect
339. #14556562C23semidirect
364. Q8×Dic73C23semidirect
367. C4×D292C23semidirect
369. D4×Dic73C23semidirect
382. #14556550C23semidirect
388. C4⋊C4×D73C23semidirect
396. #14556525C23semidirect
397. #14556524C23semidirect
398. #14556524C23semidirect
399. #14556523C23semidirect
400. #14556523C23semidirect
401. #14556522C23semidirect
402. #14556522C23semidirect
403. C4⋊#10596831C23semidirect
404. #14556520C23semidirect
405. #14556520C23semidirect
406. #14556515C23semidirect
407. #14556515C23semidirect
408. #14556515C23semidirect
409. #14556515C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
419. #14556513C23semidirect
426. #14556512C23semidirect
427. #14556512C23semidirect
430. #14556511C23semidirect
431. #14556511C23semidirect
433. C22⋊#10596831C23semidirect
440. #14556503C23semidirect
441. #14556503C23semidirect
442. #14556502C23semidirect
443. #14556501C23semidirect
444. C8×Dic73C23semidirect
448. C22×D4×C73C23semidirect
451. C2×Q16×C73C23semidirect
454. C2×SD16×C73C23semidirect
455. C2×SD16×C73C23semidirect
461. C2×M16×C73C23semidirect
463. #124×C73C23semidirect
467. C22⋊Q8×C73C23semidirect
476. C4×D4×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. C4×C8×C73C23semidirect
1009. #3273D73semidirect
1027. C73#61609semidirect
1032. C2×AGL(1,ℤ/8)C2×D73semidirect
1033. C2×AGL(1,ℤ/8)C2×D73semidirect
1053. #546C2×D73semidirect
1054. #546C2×D73semidirect
1083. #495C2×D73semidirect
1111. #468C2×D73semidirect
1112. #468C2×D73semidirect
1125. #463C2×D73semidirect
1126. #463C2×D73semidirect
1134. #452C2×D73semidirect
1135. #452C2×D73semidirect
1167. #447C2×D73semidirect
1168. #447C2×D73semidirect
1176. C4×D8C2×D73semidirect
1178. #436C2×D73semidirect
1233. C22×D4C22×D73semidirect
1240. C2×Q16C22×D73semidirect
1247. C2×SD16C22×D73semidirect
1248. C2×SD16C22×D73semidirect
1270. C2×M16C22×D73semidirect
1294. #124C22×D73semidirect
1321. C22⋊Q8C22×D73semidirect
1408. C4×D4C22×D73semidirect
1429. #107C22×D73semidirect
1437. C4⋊C8C22×D73semidirect
1442. #103C22×D73semidirect
1443. #103C22×D73semidirect
1468. #102C22×D73semidirect
1469. #102C22×D73semidirect
1481. C22⋊C8C22×D73semidirect
1485. C4×C8C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242452
#226235612
#226221742
#226221382
#226220872
#226220652
#226219472
#226218992
#226217592
#226217462
#226216152
#226216012
#226215452
#226214742
#226214172
#226214122
#226214052
#226210182
#226209782
#226207942
#226207842
#226207462
#226207232
#226201712
#226201142
#226192392
#226191982
#226191562
#447×D732
#226189752
C73×#32732
#6160973