Finite Group Databasebeta

← C101×#18254 #38800405

Subgroups — C101×#18254 #38800405

Order 25856.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3537C211yesmaximal, characteristic, complemented
2C101×#3003C211yesmaximal, characteristic, complemented
3C2×#447×C101C211yesmaximal, characteristic, complemented
4C101×#2433C211yesmaximal, characteristic, complemented
5C101×#1600C214yesmaximal, complemented
6C101×#1595C214yesmaximal, complemented
7C101×#1507C211yesmaximal, characteristic, complemented
8C101×#1501C211yesmaximal, characteristic, complemented
9C101×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C101C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C101—21no—
12C22×D8×C101—21no—
13#560×C101—22no—
14#553×C101—21no—
15#553×C101—21no—
16D42×C101—22no—
17D42×C101—21no—
18D42×C101—21no—
19#540×C101—21no—
20#538×C101—21no—
21#538×C101C2212yescomplemented
22#535×C101—21no—
23#534×C101—21no—
24#534×C101C2212yescomplemented
25C2×#127×C101—21no—
26#525×C101C2211yescharacteristic
27C2×#121×C101C2211yescharacteristic
28C2×#121×C101C2211yescharacteristic
29C2×#120×C101—22no—
30#450×C101—21no—
31#450×C101C2212yescomplemented
32#447×C101—22no—
33#447×C101—21no—
34#447×C101C2214yescomplemented
35#447×C101C2212yescomplemented
36#418×C101—21no—
37C2×#102×C101—21no—
38#407×C101C2211yescharacteristic, complemented
39C2×C22⋊C8×C101C2211yescharacteristic, complemented
40#392×C101C2214yescomplemented
41#390×C101—21no—
42C4×C22⋊C4×C101C2211yescharacteristic, complemented
43#328×C101C2212yescomplemented
44#327×C101C2212yescomplemented
45#327×C101C2214yescomplemented
46#323×C101C2214yescomplemented
47C25×C101—21no—
48C2×#41×C101D411yescharacteristic, complemented
49C22×D4×C101—22no—
50C22×D4×C101—21no—
51C22×D4×C101—21no—
52C22×D4×C101—22no—
53C22×D4×C101—24no—
54C22×D4×C101—21no—
55C22×D4×C101—21no—
56C22×D4×C101—21no—
57C22×D4×C101—21no—
58C22×D4×C101—21no—
59C22×D4×C101—44no—
60C22×D4×C101D412yes—
61C22×D4×C101D411yescharacteristic
62C22×D4×C101D411yescharacteristic, complemented
63C22×D4×C101C2312yes—
64C23×C4×C101C2311yescharacteristic
65AGL(1,ℤ/8)×C101—44no—
66C2×SD16×C101—22no—
67C2×D8×C101—24no—
68C2×D8×C101—22no—
69C2×D8×C101—44no—
70C2×M16×C101—21no—
71C22×C8×C101—21no—
72#127×C101—22no—
73#127×C101—21no—
74#127×C101—44no—
75#126×C101—22no—
76#126×C101—22no—
77#125×C101—21no—
78#124×C101—22no—
79#123×C101—22no—
80#123×C101—21no—
81#123×C101—22no—
82#123×C101—22no—
83#123×C101—22no—
84C22⋊Q8×C101D411yescharacteristic, complemented
85C22⋊Q8×C101C2311yescharacteristic
86#121×C101—22no—
87#121×C101—21no—
88#121×C101—21no—
89#121×C101—22no—
90#121×C101—22no—
91#121×C101—22no—
92#121×C101—22no—
93#121×C101—21no—
94#121×C101—21no—
95#121×C101—21no—
96#121×C101—21no—
97#121×C101—21no—
98#121×C101—21no—
99#121×C101—22no—
100#121×C101D412yescomplemented
101#121×C101D411yescharacteristic, complemented
102#121×C101C2312yes—
103#121×C101C2311yescharacteristic
104#120×C101—22no—
105#120×C101—22no—
106#120×C101—22no—
107#120×C101—21no—
108#120×C101—22no—
109#120×C101—22no—
110#120×C101—22no—
111#120×C101—48no—
112C4×D4×C101—22no—
113C4×D4×C101—21no—
114C4×D4×C101—21no—
115C4×D4×C101—21no—
116C4×D4×C101—21no—
117C4×D4×C101—22no—
118#117×C101—21no—
119#117×C101D411yescharacteristic, complemented
120C2×C4⋊C4×C101D411yescharacteristic
121C2×C4⋊C4×C101D411yescharacteristic, complemented
122C2×C22⋊C4×C101—21no—
123C2×C22⋊C4×C101—21no—
124C2×C22⋊C4×C101—24no—
125C2×C22⋊C4×C101C2312yes—
126C2×C42×C101—21no—
127#102×C101—24no—
128#102×C101—22no—
129#102×C101—22no—
130C22⋊C8×C101—21no—
131C22⋊C8×C101—21no—
132C22⋊C8×C101C2312yes—
133C22⋊C8×C101C2312yes—
134#95×C101C2312yes—
135C24×C101—22no—
136C24×C101—22no—
137C24×C101—21no—
138C24×C101—44no—
139C24×C101—44no—
140C24×C101—41no—
141C24×C101—41no—
142C24×C101—82no—
143C24×C101C2×D411yescharacteristic
144C24×C101C2×D412yes—
145#41×C101—42no—
146C2×Q8×C101C2×D411yescharacteristic
147C2×D4×C101—24no—
148C2×D4×C101—24no—
149C2×D4×C101—24no—
150C2×D4×C101—22no—
151C2×D4×C101—21no—
152C2×D4×C101—21no—
153C2×D4×C101—22no—
154C2×D4×C101—22no—
155C2×D4×C101—22no—
156C2×D4×C101—22no—
157C2×D4×C101—22no—
158C2×D4×C101—22no—
159C2×D4×C101—21no—
160C2×D4×C101—22no—
161C2×D4×C101—22no—
162C2×D4×C101—21no—
163C2×D4×C101—21no—
164C2×D4×C101—21no—
165C2×D4×C101—22no—
166C2×D4×C101—22no—
167C2×D4×C101—42no—
168C2×D4×C101—42no—
169C2×D4×C101—42no—
170C2×D4×C101—42no—
171C2×D4×C101—42no—
172C2×D4×C101—48no—
173C2×D4×C101—44no—
174C2×D4×C101—44no—
175C2×D4×C101—44no—
176C2×D4×C101—44no—
177C2×D4×C101—48no—
178C2×D4×C101—41no—
179C2×D4×C101—41no—
180C2×D4×C101—82no—
181C2×D4×C101—84no—
182C2×D4×C101—82no—
183C2×D4×C101—84no—
184C2×D4×C101—84no—
185C2×D4×C101C2×D411yescharacteristic
186C2×D4×C101C2×D412yes—
187C22×C4×C101—22no—
188C22×C4×C101—22no—
189C22×C4×C101—22no—
190C22×C4×C101—21no—
191C22×C4×C101—21no—
192C22×C4×C101—42no—
193C22×C4×C101C2×D411yescharacteristic
194C22×C4×C101C2×D411yescharacteristic
195C22×C4×C101C2×D411yescharacteristic
196C22×C4×C101C2×D412yes—
197C22×C4×C101C2×D411yescharacteristic
198C22×C4×C101C2×D411yescharacteristic
199C22×C4×C101C2411yescharacteristic
200SD16×C101—44no—
201D8×C101—48no—
202D8×C101—44no—
203M16×C101—42no—
204C2×C8×C101—22no—
205C2×C8×C101—22no—
206C2×C8×C101—42no—
207C4⋊C4×C101—22no—
208C4⋊C4×C101—22no—
209C4⋊C4×C101—21no—
210C4⋊C4×C101—21no—
211C4⋊C4×C101—21no—
212C4⋊C4×C101—21no—
213C4⋊C4×C101—21no—
214C4⋊C4×C101C2×D412yes—
215C4⋊C4×C101C2×D411yescharacteristic
216C4⋊C4×C101C2×D411yescharacteristic
217C22⋊C4×C101—24no—
218C22⋊C4×C101—22no—
219C22⋊C4×C101—22no—
220C22⋊C4×C101—22no—
221C22⋊C4×C101—22no—
222C22⋊C4×C101—22no—
223C22⋊C4×C101—21no—
224C22⋊C4×C101—21no—
225C22⋊C4×C101—21no—
226C22⋊C4×C101—22no—
227C22⋊C4×C101—21no—
228C22⋊C4×C101—22no—
229C22⋊C4×C101—22no—
230C22⋊C4×C101—22no—
231C22⋊C4×C101—21no—
232C22⋊C4×C101—48no—
233C42×C101—22no—
234C42×C101—21no—
235C42×C101—42no—
236C23×C101—22no—
237C23×C101—22no—
238C23×C101—24no—
239C23×C101—22no—
240C23×C101—22no—
241C23×C101—21no—
242C23×C101—24no—
243C23×C101—41no—
244C23×C101—44no—
245C23×C101—44no—
246C23×C101—44no—
247C23×C101—42no—
248C23×C101—42no—
249C23×C101—42no—
250C23×C101—42no—
251C23×C101—44no—
252C23×C101—42no—
253C23×C101—81no—
254C23×C101—81no—
255C23×C101—82no—
256C23×C101—82no—
257C23×C101—82no—
258C23×C101—82no—
259C23×C101—82no—
260C23×C101—82no—
261C23×C101—816no—
262C23×C101—82no—
263C23×C101#12011yescharacteristic
264C23×C101#12011yescharacteristic
265C23×C101C22×D411yescharacteristic
266Q8×C101—41no—
267D4×C101—24no—
268D4×C101—24no—
269D4×C101—42no—
270D4×C101—41no—
271D4×C101—42no—
272D4×C101—42no—
273D4×C101—44no—
274D4×C101—44no—
275D4×C101—42no—
276D4×C101—44no—
277D4×C101—42no—
278D4×C101—44no—
279D4×C101—42no—
280D4×C101—42no—
281D4×C101—81no—
282D4×C101—82no—
283D4×C101—82no—
284D4×C101—81no—
285D4×C101—82no—
286D4×C101—82no—
287D4×C101—82no—
288D4×C101—82no—
289D4×C101—82no—
290D4×C101—816no—
291C2×C4×C101—22no—
292C2×C4×C101—22no—
293C2×C4×C101—22no—
294C2×C4×C101—24no—
295C2×C4×C101—21no—
296C2×C4×C101—22no—
297C2×C4×C101—22no—
298C2×C4×C101—21no—
299C2×C4×C101—21no—
300C2×C4×C101—41no—
301C2×C4×C101—41no—
302C2×C4×C101—41no—
303C2×C4×C101—42no—
304C2×C4×C101—42no—
305C2×C4×C101—42no—
306C2×C4×C101—42no—
307C2×C4×C101—81no—
308C2×C4×C101—82no—
309C2×C4×C101—82no—
310C2×C4×C101#12011yescharacteristic
311C2×C4×C101#12011yescharacteristic
312C2×C4×C101C22×D411yescharacteristic
313C2×C4×C101C22×D411yescharacteristic
314C8×C101—42no—
315C8×C101—42no—
316C22×C101—21no—
317C22×C101—21no—
318C22×C101—21no—
319C22×C101—21no—
320C22×C101—21no—
321C22×C101—21no—
322C22×C101—21no—
323C22×C101—44no—
324C22×C101—48no—
325C22×C101—42no—
326C22×C101—42no—
327C22×C101—41no—
328C22×C101—42no—
329C22×C101—42no—
330C22×C101—41no—
331C22×C101—41no—
332C22×C101—44no—
333C22×C101—42no—
334C22×C101—42no—
335C22×C101—84no—
336C22×C101—84no—
337C22×C101—88no—
338C22×C101—88no—
339C22×C101—82no—
340C22×C101—82no—
341C22×C101—162no—
342C22×C101—164no—
343C22×C101#45312yes—
344C22×C101C2×#12011yescharacteristic
345C22×C101#57612yes—
346C4×C101—21no—
347C4×C101—21no—
348C4×C101—21no—
349C4×C101—44no—
350C4×C101—42no—
351C4×C101—41no—
352C4×C101—42no—
353C4×C101—41no—
354C4×C101—41no—
355C4×C101B(4,𝔽2)12yes—
356#18254C10111yesmaximal, characteristic, direct product factor, Sylow
357C2×C101—22no—
358C2×C101—22no—
359C2×C101—41no—
360C2×C101—84no—
361C2×C101—82no—
362C2×C101—82no—
363C2×C101—81no—
364C2×C101#300811yescharacteristic
365C2×C101C2×#45311yescharacteristic
366C2×C101C2×B(4,𝔽2)11yescharacteristic
367#3537C2×C10111yescharacteristic, complemented
368#3003C2×C10111yescharacteristic, complemented
369C2×#447C2×C10111yescharacteristic, complemented
370#2433C2×C10111yescharacteristic, complemented
371#1600C2×C10114yescomplemented
372#1595C2×C10114yescomplemented
373#1507C2×C10111yescharacteristic, complemented
374#1501C2×C10111yescharacteristic, complemented
375#1471C2×C10111yescharacteristic, complemented
376C101#1825411yescharacteristic, direct product factor, Sylow
377C23×D4C22×C10111yescharacteristic, complemented
378C2×AGL(1,ℤ/8)—21no—
379C22×D8—21no—
380#560—22no—
381#553—21no—
382#553—21no—
383D42—22no—
384D42—21no—
385D42—21no—
386#540—21no—
387#538—21no—
388#538C22×C10112yescomplemented
389#535—21no—
390#534—21no—
391#534C22×C10112yescomplemented
392C2×#127—21no—
393#525C22×C10111yescharacteristic
394C2×#121C22×C10111yescharacteristic
395C2×#121C22×C10111yescharacteristic
396C2×#120—22no—
397#450—21no—
398#450C22×C10112yescomplemented
399#447—22no—
400#447—21no—
401#447C22×C10112yescomplemented
402#447C22×C10114yescomplemented
403#418—21no—
404C2×#102—21no—
405#407C22×C10111yescharacteristic, complemented
406C2×C22⋊C8C22×C10111yescharacteristic, complemented
407#392C22×C10114yescomplemented
408#390—21no—
409C4×C22⋊C4C22×C10111yescharacteristic, complemented
410#328C22×C10112yescomplemented
411#327C22×C10112yescomplemented
412#327C22×C10114yescomplemented
413#323C22×C10114yescomplemented
414C25—21no—
415C2×#41D4×C10111yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C10112yes—
428C22×D4D4×C10111yescharacteristic
429C22×D4D4×C10111yescharacteristic, complemented
430C22×D4C23×C10112yes—
431C23×C4C23×C10111yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C10111yescharacteristic, complemented
452C22⋊Q8C23×C10111yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C10112yescomplemented
468#121D4×C10111yescharacteristic, complemented
469#121C23×C10112yes—
470#121C23×C10111yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C10111yescharacteristic, complemented
487C2×C4⋊C4D4×C10111yescharacteristic
488C2×C4⋊C4D4×C10111yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C10112yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C10112yes—
500C22⋊C8C23×C10112yes—
501#95C23×C10112yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C10111yescharacteristic
511C24C2×D4×C10112yes—
512#41—42no—
513C2×Q8C2×D4×C10111yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C10111yescharacteristic
553C2×D4C2×D4×C10112yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C10111yescharacteristic
561C22×C4C2×D4×C10111yescharacteristic
562C22×C4C2×D4×C10111yescharacteristic
563C22×C4C2×D4×C10112yes—
564C22×C4C2×D4×C10111yescharacteristic
565C22×C4C2×D4×C10111yescharacteristic
566C22×C4C24×C10111yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C10112yes—
582C4⋊C4C2×D4×C10111yescharacteristic
583C4⋊C4C2×D4×C10111yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—44no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C10111yescharacteristic
631C23#120×C10111yescharacteristic
632C23C22×D4×C10111yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C10111yescharacteristic
678C2×C4#120×C10111yescharacteristic
679C2×C4C22×D4×C10111yescharacteristic
680C2×C4C22×D4×C10111yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22#453×C10112yes—
711C22C2×#120×C10111yescharacteristic
712C22#576×C10112yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4B(4,𝔽2)×C10112yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C101×#300811yescharacteristic
731C2C2×#453×C10111yescharacteristic
732C2C2×B(4,𝔽2)×C10111yescharacteristic
subgroupG/H
center, socleC22×C101C2×#120
commutator, Frattini, cosocleC22×C4C24×C101
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C101 ◁ C23×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3537C2semidirect
2. C101×#3003C2semidirect
3. C2×#447×C101C2semidirect
4. C101×#2433C2semidirect
5. C101×#1600C2semidirect
6. C101×#1595C2semidirect
7. C101×#1507C2semidirect
8. C101×#1501C2semidirect
9. C101×#1471C2semidirect
10. C23×D4×C101C22semidirect
21. #538×C101C22semidirect
24. #534×C101C22semidirect
31. #450×C101C22semidirect
34. #447×C101C22semidirect
35. #447×C101C22semidirect
38. #407×C101C22semidirect
39. C2×C22⋊C8×C101C22semidirect
40. #392×C101C22semidirect
42. C4×C22⋊C4×C101C22semidirect
43. #328×C101C22semidirect
44. #327×C101C22semidirect
45. #327×C101C22semidirect
46. #323×C101C22semidirect
48. C2×#41×C101D4semidirect
62. C22×D4×C101D4semidirect
84. C22⋊Q8×C101D4semidirect
100. #121×C101D4semidirect
101. #121×C101D4semidirect
119. #117×C101D4semidirect
121. C2×C4⋊C4×C101D4semidirect
356. #18254C101direct (N × H)
367. #3537C2×C101semidirect
368. #3003C2×C101semidirect
369. C2×#447C2×C101semidirect
370. #2433C2×C101semidirect
371. #1600C2×C101semidirect
372. #1595C2×C101semidirect
373. #1507C2×C101semidirect
374. #1501C2×C101semidirect
375. #1471C2×C101semidirect
376. C101#18254direct (N × H)
377. C23×D4C22×C101semidirect
388. #538C22×C101semidirect
391. #534C22×C101semidirect
398. #450C22×C101semidirect
401. #447C22×C101semidirect
402. #447C22×C101semidirect
405. #407C22×C101semidirect
406. C2×C22⋊C8C22×C101semidirect
407. #392C22×C101semidirect
409. C4×C22⋊C4C22×C101semidirect
410. #328C22×C101semidirect
411. #327C22×C101semidirect
412. #327C22×C101semidirect
413. #323C22×C101semidirect
415. C2×#41D4×C101semidirect
429. C22×D4D4×C101semidirect
451. C22⋊Q8D4×C101semidirect
467. #121D4×C101semidirect
468. #121D4×C101semidirect
486. #117D4×C101semidirect
488. C2×C4⋊C4D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#35372
C101×#30032
C2×#447×C1012
C101×#24332
C101×#16002
C101×#15952
C101×#15072
C101×#15012
C101×#14712
#18254101