Finite Group Databasebeta

← #6473364

Subgroups — #6473364

Order 512.

2535 conjugacy classes of subgroups.

The subgroup lattice has 1449 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3197C211yesmaximal, characteristic, complemented
2C2×#3194C211yesmaximal, characteristic, complemented
3C2×#3191C211yesmaximal, characteristic, complemented
4C2×#3188C211yesmaximal, characteristic, complemented
5#35252C211yesmaximal, characteristic, complemented
6#34633C211yesmaximal, characteristic, complemented
7#33188C211yesmaximal, characteristic, complemented
8#33187C211yesmaximal, characteristic, complemented
9#33179C211yesmaximal, characteristic, complemented
10#33178C211yesmaximal, characteristic, complemented
11#30256C211yesmaximal, characteristic, complemented
12#30255C211yesmaximal, characteristic, complemented
13#30251C211yesmaximal, characteristic, complemented
14#30251C211yesmaximal, characteristic, complemented
15#28328C211yesmaximal, characteristic, complemented
16#28327C211yesmaximal, characteristic, complemented
17#28321C211yesmaximal, characteristic, complemented
18#28321C211yesmaximal, characteristic, complemented
19#28318C211yesmaximal, characteristic, complemented
20#28316C211yesmaximal, characteristic, complemented
21#28309C211yesmaximal, characteristic, complemented
22#28307C211yesmaximal, characteristic, complemented
23#27923C211yesmaximal, characteristic, complemented
24#27922C211yesmaximal, characteristic, complemented
25#27917C211yesmaximal, characteristic, complemented
26#27911C211yesmaximal, characteristic, complemented
27#25734C211yesmaximal, characteristic, complemented
28#25732C211yesmaximal, characteristic, complemented
29#25727C211yesmaximal, characteristic, complemented
30#25720C211yesmaximal, characteristic, complemented
31#20379C211yesmaximal, characteristic, complemented
32C2×#535C2211yescharacteristic
33C2×#532C2211yescharacteristic, complemented
34C2×#525C2211yescharacteristic
35C2×#525C2211yescharacteristic
36C2×#525C2211yescharacteristic
37C22×#121C2211yescharacteristic
38C22×#117C2211yescharacteristic
39#3197—28no—
40#3194—28no—
41#3191—28no—
42#3188—28no—
43C2×#497C2211yescharacteristic, complemented
44C2×#496C2211yescharacteristic, complemented
45C2×#493C2211yescharacteristic, complemented
46C2×#492C2211yescharacteristic, complemented
47C2×#484C2211yescharacteristic
48C2×#481C2211yescharacteristic
49C2×#485C2211yescharacteristic
50C2×#485C2211yescharacteristic
51C2×#485C2211yescharacteristic, complemented
52C2×#485C2211yescharacteristic, complemented
53C2×#482C2211yescharacteristic
54C2×#482C2211yescharacteristic
55C2×#482C2211yescharacteristic
56C2×#482C2211yescharacteristic
57C2×#482C2211yescharacteristic
58C2×#482C2211yescharacteristic
59C2×#482C2211yescharacteristic, complemented
60C2×#482C2211yescharacteristic, complemented
61C2×#483C2211yescharacteristic
62C2×#480C2211yescharacteristic
63C2×#470C2211yescharacteristic, complemented
64C2×#469C2211yescharacteristic
65C2×#469C2211yescharacteristic
66C2×#469C2211yescharacteristic, complemented
67C2×#468C2211yescharacteristic
68C2×#468C2211yescharacteristic
69C2×#468C2211yescharacteristic, complemented
70C2×#468C2211yescharacteristic, complemented
71C2×#467C2211yescharacteristic, complemented
72C2×#466C2211yescharacteristic
73C2×#466C2211yescharacteristic
74C2×#466C2211yescharacteristic, complemented
75C2×#465C2211yescharacteristic
76C2×#465C2211yescharacteristic
77C2×#465C2211yescharacteristic, complemented
78C2×#465C2211yescharacteristic, complemented
79C2×#452C2211yescharacteristic
80C2×#452C2211yescharacteristic
81C2×#452C2211yescharacteristic, complemented
82C2×#452C2211yescharacteristic, complemented
83C2×#449C2211yescharacteristic
84C2×#449C2211yescharacteristic
85C2×#449C2211yescharacteristic
86C2×#449C2211yescharacteristic
87C2×#449C2211yescharacteristic
88C2×#449C2211yescharacteristic
89C2×#449C2211yescharacteristic, complemented
90C2×#449C2211yescharacteristic, complemented
91C2×#450C2211yescharacteristic
92C2×#450C2211yescharacteristic
93C2×#447C2211yescharacteristic
94C2×#447C2211yescharacteristic
95C2×#407C2211yescharacteristic
96C22×C22⋊C8C2211yescharacteristic
97C2×#405C2211yescharacteristic, complemented
98C2×#405C2211yescharacteristic, complemented
99#2856C2211yescharacteristic
100#2856C2211yescharacteristic
101#2850C2211yescharacteristic
102#2850C2211yescharacteristic
103#2621C2211yescharacteristic
104#2621C2211yescharacteristic, complemented
105#2620C2211yescharacteristic
106#2620C2211yescharacteristic
107#2620C2211yescharacteristic
108#2620C2211yescharacteristic
109#2620C2211yescharacteristic, complemented
110#2620C2211yescharacteristic, complemented
111#2619C2211yescharacteristic
112#2619C2211yescharacteristic
113#2619C2211yescharacteristic
114#2619C2211yescharacteristic, complemented
115#2618—22no—
116#2617—22no—
117#2416—22no—
118#2414—22no—
119#2411—22no—
120#2410—22no—
121#2392—22no—
122#2392—22no—
123#2317C2211yescharacteristic
124#2311C2211yescharacteristic
125#2309C2211yescharacteristic
126#2297C2211yescharacteristic, complemented
127#2297C2211yescharacteristic, complemented
128#2285C2211yescharacteristic, complemented
129#2097C2211yescharacteristic, complemented
130#2097C2211yescharacteristic, complemented
131#2096C2211yescharacteristic, complemented
132#2096C2211yescharacteristic, complemented
133#2095C2211yescharacteristic, complemented
134#2095C2211yescharacteristic, complemented
135#2094C2211yescharacteristic, complemented
136#2094C2211yescharacteristic, complemented
137#2094C2211yescharacteristic, complemented
138#2094C2211yescharacteristic, complemented
139#2093C2211yescharacteristic, complemented
140#2093C2211yescharacteristic, complemented
141#2093C2211yescharacteristic, complemented
142#2093C2211yescharacteristic, complemented
143#2092C2211yescharacteristic, complemented
144#2092C2211yescharacteristic, complemented
145#2015C2211yescharacteristic, complemented
146#2015C2211yescharacteristic, complemented
147#2015C2211yescharacteristic, complemented
148#2015C2211yescharacteristic, complemented
149#2014C2211yescharacteristic, complemented
150#2014C2211yescharacteristic, complemented
151#2012C2211yescharacteristic, complemented
152#2012C2211yescharacteristic, complemented
153#2012C2211yescharacteristic, complemented
154#2012C2211yescharacteristic, complemented
155#2012C2211yescharacteristic, complemented
156#2012C2211yescharacteristic, complemented
157#2012C2211yescharacteristic, complemented
158#2012C2211yescharacteristic, complemented
159#2011C2211yescharacteristic, complemented
160#2011C2211yescharacteristic, complemented
161#1973C2211yescharacteristic, complemented
162#1973C2211yescharacteristic, complemented
163#1973C2211yescharacteristic, complemented
164#1973C2211yescharacteristic, complemented
165#1972C2211yescharacteristic, complemented
166#1972C2211yescharacteristic, complemented
167#1972C2211yescharacteristic, complemented
168#1971C2211yescharacteristic, complemented
169#1970C2211yescharacteristic, complemented
170#1970C2211yescharacteristic, complemented
171#1970C2211yescharacteristic, complemented
172#1969C2211yescharacteristic, complemented
173#1968C2211yescharacteristic, complemented
174#1968C2211yescharacteristic, complemented
175#1968C2211yescharacteristic, complemented
176#1968C2211yescharacteristic, complemented
177#1961C2211yescharacteristic, complemented
178#1961C2211yescharacteristic, complemented
179#1961C2211yescharacteristic, complemented
180#1960C2211yescharacteristic, complemented
181#1958C2211yescharacteristic, complemented
182#1958C2211yescharacteristic, complemented
183#1957C2211yescharacteristic, complemented
184#1956C2211yescharacteristic, complemented
185#1847C2211yescharacteristic, complemented
186#1847C2211yescharacteristic, complemented
187#1846C2211yescharacteristic, complemented
188#1846C2211yescharacteristic, complemented
189#1750C2211yescharacteristic
190#1750C2211yescharacteristic
191#1750C2211yescharacteristic
192#1750C2211yescharacteristic
193#1749C2211yescharacteristic, complemented
194#1749C2211yescharacteristic, complemented
195C4×C22⋊C8C2211yescharacteristic, complemented
196C4×C22⋊C8C2211yescharacteristic, complemented
197#1729C2211yescharacteristic, complemented
198#1729C2211yescharacteristic, complemented
199C22×#41C2311yescharacteristic
200C22×#41C2311yescharacteristic
201C22×#41C2311yescharacteristic
202C23×D4—21no—
203C23×D4C2311yescharacteristic
204C24×C4C2311yescharacteristic
205C22×Q16C2311yescharacteristic
206C22×Q16C2311yescharacteristic
207C22×SD16C2311yescharacteristic
208C22×SD16C2311yescharacteristic
209C22×SD16C2311yescharacteristic
210C22×SD16C2311yescharacteristic
211C22×SD16C2311yescharacteristic
212C22×SD16C2311yescharacteristic
213C22×SD16C2311yescharacteristic
214C22×SD16C2311yescharacteristic
215C22×D8C2311yescharacteristic
216C22×D8C2311yescharacteristic
217C22×D8C2311yescharacteristic
218C22×D8C2311yescharacteristic
219C22×D8C2311yescharacteristic
220C22×D8C2311yescharacteristic
221C22×M16C2311yescharacteristic
222C22×M16C2311yescharacteristic
223C23×C8C2311yescharacteristic
224C23×C8C2311yescharacteristic
225#535—42no—
226#535—42no—
227#532—42no—
228#532—42no—
229C2×C4⋊Q8C2311yescharacteristic
230C2×#127C2311yescharacteristic
231C2×#127C2311yescharacteristic
232C2×#127C2311yescharacteristic
233C2×#124C2311yescharacteristic
234C2×#124C2311yescharacteristic
235C2×#124C2311yescharacteristic
236C2×#124C2311yescharacteristic
237#525—24no—
238#525—24no—
239#525—24no—
240#525—24no—
241#525—24no—
242#525—24no—
243C2×#123—21no—
244C2×#123—21no—
245C2×#123—21no—
246C2×C22⋊Q8C2311yescharacteristic
247C2×C22⋊Q8C2311yescharacteristic
248C2×C22⋊Q8C2311yescharacteristic
249C2×C22⋊Q8C2311yescharacteristic
250C2×C22⋊Q8C2311yescharacteristic
251C2×C22⋊Q8C2311yescharacteristic
252C2×#121—22no—
253C2×#121—21no—
254C2×#121—21no—
255C2×#121—22no—
256C2×#121—22no—
257C2×#121—22no—
258C2×#121—24no—
259C2×#121—24no—
260C2×#121C2311yescharacteristic
261C2×#121C2311yescharacteristic
262C2×#121C2311yescharacteristic
263C2×#121C2311yescharacteristic
264C2×#121C2311yescharacteristic
265C2×#121C2311yescharacteristic
266C2×#121C2311yescharacteristic
267C2×#121C2311yescharacteristic
268C2×#121C2311yescharacteristic
269C2×#121C2311yescharacteristic
270C2×#120—21no—
271C2×#120—21no—
272C2×#120—21no—
273C2×#120—22no—
274C2×C4×D4—21no—
275C2×C4×D4—21no—
276C2×C4×D4—21no—
277C2×C4×D4—21no—
278C2×C4×D4—21no—
279C2×C4×D4—21no—
280C2×C4×D4—22no—
281C2×#117—42no—
282C2×#117—42no—
283C2×#117D412yes—
284C2×#117D412yes—
285C2×#117C2311yescharacteristic
286C2×#117C2311yescharacteristic
287C2×#117C2311yescharacteristic
288C2×#117C2311yescharacteristic
289C2×#117C2311yescharacteristic
290C2×#117C2311yescharacteristic
291C2×#117C2311yescharacteristic
292C22×C4⋊C4D412yes—
293C22×C4⋊C4C2311yescharacteristic
294C22×C22⋊C4—21no—
295C22×C22⋊C4D412yes—
296C22×C42C2311yescharacteristic
297C22×C42C2311yescharacteristic
298#497—42no—
299#496—42no—
300#493—42no—
301#492—42no—
302#485—24no—
303#485—24no—
304#485—24no—
305#485—24no—
306#484—24no—
307#483—24no—
308#482—24no—
309#482—24no—
310#482—24no—
311#482—24no—
312#482—24no—
313#482—24no—
314#482—24no—
315#482—24no—
316#481—24no—
317#480—24no—
318#470—24no—
319#469—24no—
320#469—24no—
321#469—24no—
322#468—24no—
323#468—24no—
324#468—24no—
325#468—24no—
326#467—24no—
327#466—24no—
328#466—24no—
329#466—24no—
330#465—24no—
331#465—24no—
332#465—24no—
333#465—24no—
334#452—24no—
335#452—24no—
336#452—24no—
337#452—24no—
338#450—24no—
339#450—24no—
340#449—24no—
341#449—24no—
342#449—24no—
343#449—24no—
344#449—24no—
345#449—24no—
346#449—24no—
347#449—24no—
348#447—24no—
349#447—24no—
350C2×#107C2311yescharacteristic
351C2×#107C2311yescharacteristic
352C2×#107C2311yescharacteristic
353C2×#107C2311yescharacteristic
354C2×#107C2311yescharacteristic
355C2×#107C2311yescharacteristic
356C2×#107C2311yescharacteristic
357C2×#107C2311yescharacteristic
358C2×#106C2311yescharacteristic
359C2×#106C2311yescharacteristic
360C2×#106C2311yescharacteristic
361C2×#106C2311yescharacteristic
362C2×#106C2311yescharacteristic
363C2×#106C2311yescharacteristic
364C2×#106C2311yescharacteristic
365C2×#106C2311yescharacteristic
366C2×#103C2311yescharacteristic
367C2×#103C2311yescharacteristic
368C2×#103C2311yescharacteristic
369C2×#103C2311yescharacteristic
370C2×#103C2311yescharacteristic
371C2×#103C2311yescharacteristic
372C2×#103C2311yescharacteristic
373C2×#103C2311yescharacteristic
374C2×#103C2311yescharacteristic
375C2×#103C2311yescharacteristic
376C2×#103C2311yescharacteristic
377C2×#103C2311yescharacteristic
378C2×#102C2311yescharacteristic
379C2×#102C2311yescharacteristic
380C2×#102C2311yescharacteristic
381C2×#102C2311yescharacteristic
382C2×#102C2311yescharacteristic
383C2×#102C2311yescharacteristic
384C2×#102C2311yescharacteristic
385C2×#102C2311yescharacteristic
386C2×#102C2311yescharacteristic
387C2×#102C2311yescharacteristic
388C2×#102C2311yescharacteristic
389C2×#102C2311yescharacteristic
390C2×#102C2311yescharacteristic
391C2×#102C2311yescharacteristic
392C2×#102C2311yescharacteristic
393C2×#102C2311yescharacteristic
394C2×#102C2311yescharacteristic
395C2×#102C2311yescharacteristic
396C2×#102C2311yescharacteristic
397C2×#102C2311yescharacteristic
398#407D418yescomplemented
399C2×C22⋊C8D418yescomplemented
400C2×C22⋊C8C2311yescharacteristic
401C2×C22⋊C8C2311yescharacteristic
402C2×C22⋊C8C2311yescharacteristic
403C2×C22⋊C8C2311yescharacteristic
404C2×C22⋊C8C2311yescharacteristic
405C2×C22⋊C8C2311yescharacteristic
406C2×C22⋊C8C2311yescharacteristic
407C2×C22⋊C8C2311yescharacteristic
408#405—42no—
409#405—42no—
410C2×#97C2311yescharacteristic
411C2×#97C2311yescharacteristic
412C2×#97C2311yescharacteristic
413C2×#97C2311yescharacteristic
414C2×C4×C8C2311yescharacteristic
415C2×C4×C8C2311yescharacteristic
416C2×C4×C8C2311yescharacteristic
417C2×C4×C8C2311yescharacteristic
418#398—22no—
419#398—22no—
420#397—22no—
421#397—22no—
422#396—22no—
423#396—22no—
424#396—22no—
425#396—22no—
426#396—22no—
427#396—22no—
428#394—22no—
429#394—22no—
430#394—22no—
431#394—22no—
432#394—22no—
433#394—22no—
434#394—22no—
435#394—22no—
436#394—22no—
437#394—22no—
438#392—22no—
439#392—22no—
440#392—22no—
441#392—22no—
442#391C2311yescharacteristic
443#391C2311yescharacteristic
444#391C2311yescharacteristic
445#391C2311yescharacteristic
446#391C2311yescharacteristic
447#391C2311yescharacteristic
448#390—22no—
449#390—22no—
450#390—22no—
451#390C2311yescharacteristic
452#390C2311yescharacteristic
453#390C2311yescharacteristic
454#390C2311yescharacteristic
455#390C2311yescharacteristic
456#390C2311yescharacteristic
457#390C2311yescharacteristic
458#390C2311yescharacteristic
459#390C2311yescharacteristic
460#390C2311yescharacteristic
461#389—22no—
462#388—22no—
463#388—22no—
464#386—22no—
465#386—22no—
466#386—22no—
467#386—22no—
468#386—22no—
469#385—22no—
470#384C2311yescharacteristic
471#384C2311yescharacteristic
472#384C2311yescharacteristic
473#384C2311yescharacteristic
474#382C2311yescharacteristic
475#382C2311yescharacteristic
476#382C2311yescharacteristic
477#382C2311yescharacteristic
478#380—22no—
479#380—22no—
480#379—22no—
481C4×C4⋊C4—22no—
482C4×C22⋊C4—22no—
483C4×C22⋊C4—22no—
484#336C2311yescharacteristic
485#336C2311yescharacteristic
486#336C2311yescharacteristic
487#336C2311yescharacteristic
488#336C2311yescharacteristic
489#336C2311yescharacteristic
490#336C2311yescharacteristic
491#336C2311yescharacteristic
492C25—21no—
493C25C2×D411yescharacteristic
494C2×#41—22no—
495C2×#41—22no—
496C2×#41—22no—
497C2×#41—22no—
498C2×#41—22no—
499C2×#41—22no—
500C2×#41—41no—
501C2×#41—41no—
502C2×#41—41no—
503C2×#41—41no—
504C2×#41—41no—
505C2×#41—41no—
506C2×#41—41no—
507C2×#41—41no—
508C2×#41—41no—
509C2×#41—41no—
510C2×#41—41no—
511C2×#41—41no—
512C22×Q8C2411yescharacteristic
513C22×Q8C2411yescharacteristic
514C22×Q8C2411yescharacteristic
515C22×D4—21no—
516C22×D4—21no—
517C22×D4—21no—
518C22×D4—21no—
519C22×D4—21no—
520C22×D4—21no—
521C22×D4—21no—
522C22×D4—21no—
523C22×D4—21no—
524C22×D4—21no—
525C22×D4—21no—
526C22×D4—21no—
527C22×D4—21no—
528C22×D4—22no—
529C22×D4—22no—
530C22×D4—21no—
531C22×D4—22no—
532C22×D4—22no—
533C22×D4—22no—
534C22×D4—41no—
535C22×D4—41no—
536C22×D4—41no—
537C22×D4—41no—
538C22×D4—44no—
539C22×D4—84no—
540C22×D4C2411yescharacteristic
541C22×D4C2411yescharacteristic
542C22×D4C2411yescharacteristic
543C22×D4C2411yescharacteristic
544C22×D4C2411yescharacteristic
545C23×C4—21no—
546C23×C4—21no—
547C23×C4—21no—
548C23×C4—21no—
549C23×C4—41no—
550C23×C4—41no—
551C23×C4—41no—
552C23×C4—41no—
553C23×C4C2×D412yes—
554C23×C4C2×D412yes—
555C23×C4C2×D411yescharacteristic
556C23×C4C2×D411yescharacteristic
557C23×C4C2×D411yescharacteristic
558C23×C4C2×D414yes—
559C23×C4C2×D414yes—
560C23×C4C2411yescharacteristic
561C23×C4C2411yescharacteristic
562C23×C4C2411yescharacteristic
563C2×Q16—22no—
564C2×Q16—22no—
565C2×Q16—41no—
566C2×Q16—41no—
567C2×Q16—41no—
568C2×Q16—41no—
569C2×SD16—22no—
570C2×SD16—22no—
571C2×SD16—22no—
572C2×SD16—22no—
573C2×SD16—22no—
574C2×SD16—22no—
575C2×SD16—22no—
576C2×SD16—22no—
577C2×SD16—41no—
578C2×SD16—41no—
579C2×SD16—41no—
580C2×SD16—41no—
581C2×SD16—41no—
582C2×SD16—41no—
583C2×SD16—41no—
584C2×SD16—41no—
585C2×SD16—41no—
586C2×SD16—41no—
587C2×SD16—41no—
588C2×SD16—41no—
589C2×SD16—41no—
590C2×SD16—41no—
591C2×SD16—41no—
592C2×SD16—41no—
593C2×D8—22no—
594C2×D8—22no—
595C2×D8—22no—
596C2×D8—22no—
597C2×D8—22no—
598C2×D8—22no—
599C2×D8—41no—
600C2×D8—41no—
601C2×D8—41no—
602C2×D8—41no—
603C2×D8—41no—
604C2×D8—41no—
605C2×D8—41no—
606C2×D8—41no—
607C2×D8—41no—
608C2×D8—41no—
609C2×D8—41no—
610C2×D8—41no—
611C2×M16—41no—
612C2×M16—41no—
613C2×M16—41no—
614C2×M16—41no—
615C2×M16C2×D414yes—
616C2×M16C2×D414yes—
617C22×C8—41no—
618C22×C8—41no—
619C22×C8—41no—
620C22×C8—41no—
621C22×C8C2×D414yes—
622C22×C8C2×D414yes—
623C22×C8C2411yescharacteristic
624C22×C8C2411yescharacteristic
625C22×C8C2411yescharacteristic
626C22×C8C2411yescharacteristic
627C22×C8C2411yescharacteristic
628C22×C8C2411yescharacteristic
629C22×C8C2411yescharacteristic
630C22×C8C2411yescharacteristic
631C4⋊Q8—22no—
632C4⋊Q8—22no—
633#127—22no—
634#127—22no—
635#127—22no—
636#127—22no—
637#127—41no—
638#127—41no—
639#124—22no—
640#124—22no—
641#124—41no—
642#124—41no—
643#124—41no—
644#124—41no—
645#124—41no—
646#124—41no—
647#123—44no—
648#123—44no—
649#123—44no—
650C22⋊Q8—22no—
651C22⋊Q8—22no—
652C22⋊Q8—22no—
653C22⋊Q8—22no—
654C22⋊Q8—22no—
655C22⋊Q8—22no—
656C22⋊Q8—22no—
657C22⋊Q8—22no—
658C22⋊Q8—22no—
659C22⋊Q8—22no—
660C22⋊Q8—22no—
661C22⋊Q8—22no—
662#121—22no—
663#121—22no—
664#121—22no—
665#121—22no—
666#121—22no—
667#121—22no—
668#121—22no—
669#121—22no—
670#121—22no—
671#121—22no—
672#121—22no—
673#121—22no—
674#121—22no—
675#121—22no—
676#121—22no—
677#121—22no—
678#121—22no—
679#121—22no—
680#121—22no—
681#121—22no—
682#121—48no—
683#121—48no—
684#121—44no—
685#121—44no—
686#121—84no—
687#121—84no—
688#120—48no—
689#120—44no—
690#120—44no—
691#120—44no—
692C4×D4—48no—
693C4×D4—44no—
694C4×D4—44no—
695C4×D4—44no—
696C4×D4—44no—
697C4×D4—44no—
698C4×D4—44no—
699#117—22no—
700#117—22no—
701#117—22no—
702#117—22no—
703#117—22no—
704#117—22no—
705#117—22no—
706#117—22no—
707#117—22no—
708#117—22no—
709#117—41no—
710#117—41no—
711#117—41no—
712#117—41no—
713#117—44no—
714#117—44no—
715C2×C4⋊C4—22no—
716C2×C4⋊C4—22no—
717C2×C4⋊C4—21no—
718C2×C4⋊C4—22no—
719C2×C4⋊C4—21no—
720C2×C4⋊C4—21no—
721C2×C4⋊C4—21no—
722C2×C4⋊C4—21no—
723C2×C4⋊C4—21no—
724C2×C4⋊C4—21no—
725C2×C4⋊C4—22no—
726C2×C4⋊C4—22no—
727C2×C4⋊C4—22no—
728C2×C4⋊C4—22no—
729C2×C4⋊C4—44no—
730C2×C4⋊C4C2×D412yes—
731C2×C4⋊C4C2×D412yes—
732C2×C4⋊C4C2×D412yes—
733C2×C4⋊C4C2×D412yes—
734C2×C4⋊C4C2411yescharacteristic
735C2×C4⋊C4C2411yescharacteristic
736C2×C4⋊C4C2411yescharacteristic
737C2×C4⋊C4C2411yescharacteristic
738C2×C4⋊C4C2411yescharacteristic
739C2×C4⋊C4C2411yescharacteristic
740C2×C4⋊C4C2411yescharacteristic
741C2×C4⋊C4C2411yescharacteristic
742C2×C22⋊C4—21no—
743C2×C22⋊C4—21no—
744C2×C22⋊C4—21no—
745C2×C22⋊C4—21no—
746C2×C22⋊C4—21no—
747C2×C22⋊C4—21no—
748C2×C22⋊C4—21no—
749C2×C22⋊C4—21no—
750C2×C22⋊C4—21no—
751C2×C22⋊C4—21no—
752C2×C22⋊C4—21no—
753C2×C22⋊C4—21no—
754C2×C22⋊C4—21no—
755C2×C22⋊C4—22no—
756C2×C22⋊C4—22no—
757C2×C22⋊C4—21no—
758C2×C22⋊C4—21no—
759C2×C22⋊C4—21no—
760C2×C22⋊C4—21no—
761C2×C22⋊C4—21no—
762C2×C22⋊C4—21no—
763C2×C22⋊C4—22no—
764C2×C22⋊C4—22no—
765C2×C22⋊C4—22no—
766C2×C22⋊C4—22no—
767C2×C22⋊C4—22no—
768C2×C22⋊C4—22no—
769C2×C22⋊C4—22no—
770C2×C22⋊C4—22no—
771C2×C22⋊C4—22no—
772C2×C22⋊C4—22no—
773C2×C22⋊C4—22no—
774C2×C22⋊C4—22no—
775C2×C22⋊C4—44no—
776C2×C22⋊C4—44no—
777C2×C22⋊C4C2×D412yes—
778C2×C22⋊C4C2×D412yes—
779C2×C22⋊C4C2×D412yes—
780C2×C22⋊C4C2×D412yes—
781C2×C42—22no—
782C2×C42—22no—
783C2×C42—21no—
784C2×C42—21no—
785C2×C42—21no—
786C2×C42—41no—
787C2×C42—41no—
788C2×C42C2×D412yes—
789C2×C42C2×D412yes—
790C2×C42C2411yescharacteristic
791C2×C42C2411yescharacteristic
792C2×C42C2411yescharacteristic
793C2×C42C2411yescharacteristic
794#107—22no—
795#107—22no—
796#107—22no—
797#107—22no—
798#107—22no—
799#107—22no—
800#107—22no—
801#107—22no—
802#106—22no—
803#106—22no—
804#106—22no—
805#106—22no—
806#106—22no—
807#106—22no—
808#106—22no—
809#106—22no—
810#103—22no—
811#103—22no—
812#103—22no—
813#103—22no—
814#103—22no—
815#103—22no—
816#103—22no—
817#103—22no—
818#103—22no—
819#103—22no—
820#103—22no—
821#103—22no—
822#102—22no—
823#102—22no—
824#102—22no—
825#102—22no—
826#102—22no—
827#102—22no—
828#102—22no—
829#102—22no—
830#102—22no—
831#102—22no—
832#102—22no—
833#102—22no—
834#102—22no—
835#102—22no—
836#102—22no—
837#102—22no—
838#102—22no—
839#102—22no—
840#102—22no—
841#102—22no—
842C22⋊C8C2×D414yes—
843C22⋊C8C2×D414yes—
844C22⋊C8C2×D414yes—
845C22⋊C8C2×D414yes—
846C22⋊C8C2×D414yes—
847C22⋊C8C2×D414yes—
848C22⋊C8C2×D414yes—
849C22⋊C8C2×D414yes—
850#97—22no—
851#97—22no—
852#97—41no—
853#97—41no—
854C4×C8—22no—
855C4×C8—22no—
856C4×C8—41no—
857C4×C8—41no—
858#95—22no—
859#95—22no—
860#95—22no—
861#95—22no—
862#95—22no—
863#95—22no—
864#95—22no—
865#95—22no—
866#95—22no—
867#95—22no—
868C24—21no—
869C24—21no—
870C24—21no—
871C24—21no—
872C24—21no—
873C24—41no—
874C24—41no—
875C24—42no—
876C24—42no—
877C24—42no—
878C24—42no—
879C24—42no—
880C24—82no—
881C24—82no—
882C24#12714yes—
883C24C22×D411yescharacteristic
884C24C22×D411yescharacteristic
885C24C22×D411yescharacteristic
886#41—82no—
887#41—82no—
888#41—82no—
889#41—82no—
890#41—82no—
891#41—82no—
892#41—82no—
893#41—82no—
894#41—82no—
895#41—82no—
896#41—82no—
897#41—82no—
898C2×Q8—21no—
899C2×Q8—21no—
900C2×Q8—21no—
901C2×Q8—21no—
902C2×Q8—21no—
903C2×Q8—21no—
904C2×Q8—21no—
905C2×Q8—21no—
906C2×Q8—21no—
907C2×Q8—21no—
908C2×Q8—21no—
909C2×Q8—21no—
910C2×Q8—21no—
911C2×Q8—21no—
912C2×Q8—21no—
913C2×Q8—21no—
914C2×Q8—21no—
915C2×Q8—21no—
916C2×D4—21no—
917C2×D4—21no—
918C2×D4—21no—
919C2×D4—21no—
920C2×D4—21no—
921C2×D4—21no—
922C2×D4—21no—
923C2×D4—21no—
924C2×D4—21no—
925C2×D4—21no—
926C2×D4—21no—
927C2×D4—21no—
928C2×D4—21no—
929C2×D4—21no—
930C2×D4—21no—
931C2×D4—21no—
932C2×D4—21no—
933C2×D4—21no—
934C2×D4—21no—
935C2×D4—21no—
936C2×D4—21no—
937C2×D4—21no—
938C2×D4—21no—
939C2×D4—21no—
940C2×D4—21no—
941C2×D4—21no—
942C2×D4—21no—
943C2×D4—21no—
944C2×D4—21no—
945C2×D4—21no—
946C2×D4—42no—
947C2×D4—42no—
948C2×D4—44no—
949C2×D4—42no—
950C2×D4—42no—
951C2×D4—42no—
952C2×D4—44no—
953C2×D4—44no—
954C2×D4—44no—
955C2×D4—42no—
956C2×D4—42no—
957C2×D4—42no—
958C2×D4—42no—
959C2×D4—42no—
960C2×D4—42no—
961C2×D4—42no—
962C2×D4—42no—
963C2×D4—42no—
964C2×D4—42no—
965C2×D4—42no—
966C2×D4—42no—
967C2×D4—42no—
968C2×D4—42no—
969C2×D4—42no—
970C2×D4—42no—
971C2×D4—42no—
972C2×D4—44no—
973C2×D4—44no—
974C2×D4—82no—
975C2×D4—82no—
976C2×D4—82no—
977C2×D4—82no—
978C2×D4—82no—
979C2×D4—82no—
980C2×D4—82no—
981C2×D4—82no—
982C2×D4—82no—
983C2×D4—82no—
984C2×D4—82no—
985C2×D4—82no—
986C2×D4—82no—
987C2×D4—82no—
988C2×D4—82no—
989C2×D4—82no—
990C2×D4—82no—
991C2×D4—816no—
992C22×C4—21no—
993C22×C4—21no—
994C22×C4—21no—
995C22×C4—21no—
996C22×C4—21no—
997C22×C4—21no—
998C22×C4—21no—
999C22×C4—21no—
1000C22×C4—21no—
1001C22×C4—21no—
1002C22×C4—21no—
1003C22×C4—21no—
1004C22×C4—24no—
1005C22×C4—21no—
1006C22×C4—21no—
1007C22×C4—21no—
1008C22×C4—21no—
1009C22×C4—21no—
1010C22×C4—21no—
1011C22×C4—21no—
1012C22×C4—21no—
1013C22×C4—21no—
1014C22×C4—21no—
1015C22×C4—21no—
1016C22×C4—44no—
1017C22×C4—44no—
1018C22×C4—44no—
1019C22×C4—44no—
1020C22×C4—41no—
1021C22×C4—41no—
1022C22×C4—41no—
1023C22×C4—41no—
1024C22×C4—41no—
1025C22×C4—41no—
1026C22×C4—42no—
1027C22×C4—42no—
1028C22×C4—42no—
1029C22×C4—42no—
1030C22×C4—42no—
1031C22×C4—42no—
1032C22×C4—42no—
1033C22×C4—42no—
1034C22×C4—42no—
1035C22×C4—42no—
1036C22×C4—42no—
1037C22×C4—42no—
1038C22×C4—42no—
1039C22×C4—42no—
1040C22×C4—42no—
1041C22×C4—82no—
1042C22×C4#12714yes—
1043C22×C4#12714yes—
1044C22×C4#12714yes—
1045C22×C4C22×D412yes—
1046C22×C4C22×D412yes—
1047C22×C4C22×D412yes—
1048C22×C4C22×D411yescharacteristic
1049C22×C4C22×D411yescharacteristic
1050C22×C4C22×D411yescharacteristic
1051C22×C4C22×D412yes—
1052C22×C4C22×D412yes—
1053C22×C4C22×D412yes—
1054C22×C4C22×D412yes—
1055C22×C4C22×D412yes—
1056C22×C4C22×D412yes—
1057C22×C4C22×D412yes—
1058C22×C4C2511yescharacteristic
1059Q16—82no—
1060Q16—82no—
1061SD16—82no—
1062SD16—82no—
1063SD16—82no—
1064SD16—82no—
1065SD16—82no—
1066SD16—82no—
1067SD16—82no—
1068SD16—82no—
1069D8—82no—
1070D8—82no—
1071D8—82no—
1072D8—82no—
1073D8—82no—
1074D8—82no—
1075M16—44no—
1076M16—44no—
1077C2×C8—21no—
1078C2×C8—21no—
1079C2×C8—21no—
1080C2×C8—21no—
1081C2×C8—21no—
1082C2×C8—21no—
1083C2×C8—21no—
1084C2×C8—21no—
1085C2×C8—21no—
1086C2×C8—21no—
1087C2×C8—21no—
1088C2×C8—21no—
1089C2×C8—21no—
1090C2×C8—21no—
1091C2×C8—21no—
1092C2×C8—21no—
1093C2×C8—44no—
1094C2×C8—44no—
1095C2×C8C22×D412yes—
1096C2×C8C22×D412yes—
1097C2×C8C22×D412yes—
1098C2×C8C22×D412yes—
1099C2×C8C22×D412yes—
1100C2×C8C22×D412yes—
1101C2×C8C22×D412yes—
1102C2×C8C22×D412yes—
1103C4⋊C4—24no—
1104C4⋊C4—24no—
1105C4⋊C4—21no—
1106C4⋊C4—21no—
1107C4⋊C4—21no—
1108C4⋊C4—21no—
1109C4⋊C4—21no—
1110C4⋊C4—21no—
1111C4⋊C4—21no—
1112C4⋊C4—21no—
1113C4⋊C4—21no—
1114C4⋊C4—21no—
1115C4⋊C4—21no—
1116C4⋊C4—21no—
1117C4⋊C4—21no—
1118C4⋊C4—21no—
1119C4⋊C4—21no—
1120C4⋊C4—21no—
1121C4⋊C4—42no—
1122C4⋊C4—42no—
1123C4⋊C4—42no—
1124C4⋊C4—42no—
1125C4⋊C4—42no—
1126C4⋊C4—42no—
1127C4⋊C4—42no—
1128C4⋊C4—42no—
1129C4⋊C4—42no—
1130C4⋊C4—44no—
1131C4⋊C4—82no—
1132C4⋊C4—82no—
1133C4⋊C4—82no—
1134C4⋊C4—82no—
1135C22⋊C4—24no—
1136C22⋊C4—24no—
1137C22⋊C4—42no—
1138C22⋊C4—42no—
1139C22⋊C4—44no—
1140C22⋊C4—44no—
1141C22⋊C4—44no—
1142C22⋊C4—42no—
1143C22⋊C4—42no—
1144C22⋊C4—42no—
1145C22⋊C4—42no—
1146C22⋊C4—42no—
1147C22⋊C4—42no—
1148C22⋊C4—42no—
1149C22⋊C4—42no—
1150C22⋊C4—42no—
1151C22⋊C4—42no—
1152C22⋊C4—42no—
1153C22⋊C4—42no—
1154C22⋊C4—42no—
1155C22⋊C4—42no—
1156C22⋊C4—42no—
1157C22⋊C4—42no—
1158C22⋊C4—42no—
1159C22⋊C4—42no—
1160C22⋊C4—42no—
1161C22⋊C4—44no—
1162C22⋊C4—82no—
1163C22⋊C4—82no—
1164C22⋊C4—82no—
1165C22⋊C4—82no—
1166C22⋊C4—82no—
1167C22⋊C4—82no—
1168C22⋊C4—82no—
1169C22⋊C4—82no—
1170C22⋊C4—82no—
1171C22⋊C4—82no—
1172C42—24no—
1173C42—21no—
1174C42—21no—
1175C42—21no—
1176C42—21no—
1177C42—21no—
1178C42—21no—
1179C42—42no—
1180C42—42no—
1181C42—42no—
1182C42—42no—
1183C42H(5,𝔽2)12yes—
1184C42H(5,𝔽2)12yes—
1185C23—22no—
1186C23—22no—
1187C23—22no—
1188C23—22no—
1189C23—22no—
1190C23—22no—
1191C23—21no—
1192C23—21no—
1193C23—21no—
1194C23—21no—
1195C23—21no—
1196C23—21no—
1197C23—44no—
1198C23—44no—
1199C23—44no—
1200C23—42no—
1201C23—42no—
1202C23—42no—
1203C23—42no—
1204C23—42no—
1205C23—42no—
1206C23—42no—
1207C23—42no—
1208C23—42no—
1209C23—42no—
1210C23—41no—
1211C23—41no—
1212C23—41no—
1213C23—41no—
1214C23—41no—
1215C23—41no—
1216C23—41no—
1217C23—41no—
1218C23—41no—
1219C23—41no—
1220C23—41no—
1221C23—41no—
1222C23—41no—
1223C23—41no—
1224C23—41no—
1225C23—84no—
1226C23—84no—
1227C23—84no—
1228C23—84no—
1229C23—84no—
1230C23—164no—
1231C23—164no—
1232C23C2×#12712yes—
1233C23C2×#12712yes—
1234C23C2×#12712yes—
1235C23C23×D411yescharacteristic
1236Q8—41no—
1237Q8—41no—
1238Q8—41no—
1239Q8—41no—
1240Q8—41no—
1241Q8—41no—
1242Q8—41no—
1243Q8—41no—
1244Q8—41no—
1245Q8—41no—
1246Q8—41no—
1247Q8—41no—
1248D4—41no—
1249D4—41no—
1250D4—41no—
1251D4—41no—
1252D4—41no—
1253D4—41no—
1254D4—41no—
1255D4—41no—
1256D4—41no—
1257D4—41no—
1258D4—41no—
1259D4—41no—
1260D4—41no—
1261D4—41no—
1262D4—41no—
1263D4—41no—
1264D4—41no—
1265D4—41no—
1266D4—41no—
1267D4—41no—
1268D4—84no—
1269D4—88no—
1270D4—84no—
1271D4—84no—
1272D4—84no—
1273D4—84no—
1274D4—84no—
1275D4—84no—
1276D4—84no—
1277D4—84no—
1278D4—84no—
1279D4—84no—
1280D4—84no—
1281D4—84no—
1282D4—84no—
1283D4—164no—
1284D4—164no—
1285C2×C4—22no—
1286C2×C4—22no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—22no—
1294C2×C4—22no—
1295C2×C4—22no—
1296C2×C4—22no—
1297C2×C4—22no—
1298C2×C4—22no—
1299C2×C4—22no—
1300C2×C4—22no—
1301C2×C4—22no—
1302C2×C4—22no—
1303C2×C4—22no—
1304C2×C4—22no—
1305C2×C4—22no—
1306C2×C4—22no—
1307C2×C4—22no—
1308C2×C4—22no—
1309C2×C4—22no—
1310C2×C4—22no—
1311C2×C4—22no—
1312C2×C4—22no—
1313C2×C4—22no—
1314C2×C4—44no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—42no—
1318C2×C4—42no—
1319C2×C4—42no—
1320C2×C4—42no—
1321C2×C4—42no—
1322C2×C4—42no—
1323C2×C4—42no—
1324C2×C4—42no—
1325C2×C4—41no—
1326C2×C4—41no—
1327C2×C4—41no—
1328C2×C4—41no—
1329C2×C4—41no—
1330C2×C4—41no—
1331C2×C4—41no—
1332C2×C4—41no—
1333C2×C4—41no—
1334C2×C4—41no—
1335C2×C4—41no—
1336C2×C4—41no—
1337C2×C4—41no—
1338C2×C4—41no—
1339C2×C4—41no—
1340C2×C4—41no—
1341C2×C4—41no—
1342C2×C4—84no—
1343C2×C4—84no—
1344C2×C4—84no—
1345C2×C4—84no—
1346C2×C4—84no—
1347C2×C4—84no—
1348C2×C4C2×#12712yes—
1349C2×C4C2×#12712yes—
1350C2×C4C2×#12712yes—
1351C2×C4#53414yes—
1352C2×C4C23×D411yescharacteristic
1353C2×C4C23×D411yescharacteristic
1354C2×C4C2×H(5,𝔽2)11yescharacteristic
1355C2×C4C2×H(5,𝔽2)11yescharacteristic
1356C2×C4#58511yescharacteristic
1357C2×C4#58511yescharacteristic
1358C8—22no—
1359C8—22no—
1360C8—22no—
1361C8—22no—
1362C8—22no—
1363C8—22no—
1364C8—22no—
1365C8—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—22no—
1375C22—42no—
1376C22—42no—
1377C22—42no—
1378C22—42no—
1379C22—42no—
1380C22—42no—
1381C22—88no—
1382C22—82no—
1383C22—82no—
1384C22—82no—
1385C22—82no—
1386C22—82no—
1387C22—82no—
1388C22—82no—
1389C22—82no—
1390C22—82no—
1391C22—82no—
1392C22—81no—
1393C22—81no—
1394C22—81no—
1395C22—81no—
1396C22—81no—
1397C22—81no—
1398C22—81no—
1399C22—81no—
1400C22—81no—
1401C22—81no—
1402C22—81no—
1403C22—81no—
1404C22—81no—
1405C22—81no—
1406C22—81no—
1407C22—168no—
1408C22C22×#12711yescharacteristic
1409C22C2×#53411yescharacteristic
1410C22#344911yescharacteristic
1411C22#358412yes—
1412C22#358512yes—
1413C4—24no—
1414C4—22no—
1415C4—22no—
1416C4—22no—
1417C4—42no—
1418C4—42no—
1419C4—42no—
1420C4—81no—
1421C4—81no—
1422C4—81no—
1423C4—81no—
1424C4—81no—
1425C4—81no—
1426C4—81no—
1427C4—81no—
1428C4—81no—
1429C4—81no—
1430C4—81no—
1431C4#349611yescharacteristic
1432C4#349611yescharacteristic
1433C4#349611yescharacteristic
1434C4#349611yescharacteristic
1435C2—42no—
1436C2—42no—
1437C2—42no—
1438C2—161no—
1439C2—161no—
1440C2—161no—
1441C2—161no—
1442C2—161no—
1443C2#3500111yescharacteristic
1444C2#6064311yescharacteristic
1445C2#6064411yescharacteristic
1446C2#6076012yes—
1447C2#6098612yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3197C2semidirect
2. C2×#3194C2semidirect
3. C2×#3191C2semidirect
4. C2×#3188C2semidirect
5. #35252C2semidirect
6. #34633C2semidirect
7. #33188C2semidirect
8. #33187C2semidirect
9. #33179C2semidirect
10. #33178C2semidirect
11. #30256C2semidirect
12. #30255C2semidirect
13. #30251C2semidirect
14. #30251C2semidirect
15. #28328C2semidirect
16. #28327C2semidirect
17. #28321C2semidirect
18. #28321C2semidirect
19. #28318C2semidirect
20. #28316C2semidirect
21. #28309C2semidirect
22. #28307C2semidirect
23. #27923C2semidirect
24. #27922C2semidirect
25. #27917C2semidirect
26. #27911C2semidirect
27. #25734C2semidirect
28. #25732C2semidirect
29. #25727C2semidirect
30. #25720C2semidirect
31. #20379C2semidirect
33. C2×#532C22semidirect
43. C2×#497C22semidirect
44. C2×#496C22semidirect
45. C2×#493C22semidirect
46. C2×#492C22semidirect
51. C2×#485C22semidirect
52. C2×#485C22semidirect
59. C2×#482C22semidirect
60. C2×#482C22semidirect
63. C2×#470C22semidirect
66. C2×#469C22semidirect
69. C2×#468C22semidirect
70. C2×#468C22semidirect
71. C2×#467C22semidirect
74. C2×#466C22semidirect
77. C2×#465C22semidirect
78. C2×#465C22semidirect
81. C2×#452C22semidirect
82. C2×#452C22semidirect
89. C2×#449C22semidirect
90. C2×#449C22semidirect
97. C2×#405C22semidirect
98. C2×#405C22semidirect
104. #2621C22semidirect
109. #2620C22semidirect
110. #2620C22semidirect
114. #2619C22semidirect
126. #2297C22semidirect
127. #2297C22semidirect
128. #2285C22semidirect
129. #2097C22semidirect
130. #2097C22semidirect
131. #2096C22semidirect
132. #2096C22semidirect
133. #2095C22semidirect
134. #2095C22semidirect
135. #2094C22semidirect
136. #2094C22semidirect
137. #2094C22semidirect
138. #2094C22semidirect
139. #2093C22semidirect
140. #2093C22semidirect
141. #2093C22semidirect
142. #2093C22semidirect
143. #2092C22semidirect
144. #2092C22semidirect
145. #2015C22semidirect
146. #2015C22semidirect
147. #2015C22semidirect
148. #2015C22semidirect
149. #2014C22semidirect
150. #2014C22semidirect
151. #2012C22semidirect
152. #2012C22semidirect
153. #2012C22semidirect
154. #2012C22semidirect
155. #2012C22semidirect
156. #2012C22semidirect
157. #2012C22semidirect
158. #2012C22semidirect
159. #2011C22semidirect
160. #2011C22semidirect
161. #1973C22semidirect
162. #1973C22semidirect
163. #1973C22semidirect
164. #1973C22semidirect
165. #1972C22semidirect
166. #1972C22semidirect
167. #1972C22semidirect
168. #1971C22semidirect
169. #1970C22semidirect
170. #1970C22semidirect
171. #1970C22semidirect
172. #1969C22semidirect
173. #1968C22semidirect
174. #1968C22semidirect
175. #1968C22semidirect
176. #1968C22semidirect
177. #1961C22semidirect
178. #1961C22semidirect
179. #1961C22semidirect
180. #1960C22semidirect
181. #1958C22semidirect
182. #1958C22semidirect
183. #1957C22semidirect
184. #1956C22semidirect
185. #1847C22semidirect
186. #1847C22semidirect
187. #1846C22semidirect
188. #1846C22semidirect
193. #1749C22semidirect
194. #1749C22semidirect
195. C4×C22⋊C8C22semidirect
196. C4×C22⋊C8C22semidirect
197. #1729C22semidirect
198. #1729C22semidirect
398. #407D4semidirect
399. C2×C22⋊C8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31972
C2×#31942
C2×#31912
C2×#31882
#352522
#346332
#331882
#331872
#331792
#331782
#302562
#302552
#302512
#283282
#283272
#283212
#283182
#283162
#283092
#283072
#279232
#279222
#279172
#279112
#257342
#257322
#257272
#257202
#203792