Finite Group Databasebeta

← C101×#23495 #38805646

Subgroups — C101×#23495 #38805646

Order 25856.

1422 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3449C211yesmaximal, characteristic
2C2×#428×C101C211yesmaximal, characteristic, complemented
3C2×#421×C101C211yesmaximal, characteristic, complemented
4C2×#417×C101C211yesmaximal, characteristic, complemented
5C2×#413×C101C211yesmaximal, characteristic, complemented
6C101×#2311C211yesmaximal, characteristic, complemented
7C101×#2038C214yesmaximal, complemented
8C101×#2037C214yesmaximal, complemented
9C101×#1733C211yesmaximal, characteristic, complemented
10C22×#41×C101C2211yescharacteristic
11C22×#41×C101C2211yescharacteristic
12C22×M16×C101C2211yescharacteristic
13C22×M16×C101C2211yescharacteristic
14#537×C101—21no—
15#537×C101—21no—
16#536×C101—21no—
17#536×C101C2212yes—
18#535×C101—21no—
19#535×C101C2212yes—
20#534×C101—22no—
21#532×C101—22no—
22#525×C101—22no—
23#525×C101—22no—
24C2×#117×C101C2211yescharacteristic
25C2×#117×C101C2211yescharacteristic
26C22×C4⋊C4×C101C2211yescharacteristic
27#428×C101—22no—
28#428×C101C2214yescomplemented
29C2×#107×C101—21no—
30C2×#106×C101—21no—
31#421×C101—24no—
32C2×#104×C101C2214yes—
33#417×C101—22no—
34#417×C101C2214yes—
35C2×#103×C101—21no—
36C2×#102×C101—21no—
37#413×C101—24no—
38C2×#101×C101C2212yescomplemented
39C2×#100×C101C2212yescomplemented
40#391×C101C2212yescomplemented
41#390×C101C2212yescomplemented
42#386×C101—22no—
43#380×C101—22no—
44#339×C101C2214yescomplemented
45C2×#41×C101—22no—
46C2×#41×C101—21no—
47C2×#41×C101—21no—
48C2×#41×C101—21no—
49C2×#41×C101—21no—
50C2×#41×C101—21no—
51C2×#41×C101—21no—
52C2×#41×C101—22no—
53C2×#41×C101—22no—
54C2×#41×C101—22no—
55C2×#41×C101—22no—
56C2×#41×C101—22no—
57C2×#41×C101—22no—
58C2×#41×C101—22no—
59C2×#41×C101D412yes—
60C2×#41×C101C2312yes—
61C22×Q8×C101D411yescharacteristic
62C22×Q8×C101C2311yescharacteristic
63C22×D4×C101—21no—
64C22×D4×C101D412yes—
65C22×D4×C101D411yescharacteristic
66C22×D4×C101C2311yescharacteristic
67C23×C4×C101—21no—
68C23×C4×C101—21no—
69C23×C4×C101D412yes—
70C23×C4×C101C2311yescharacteristic
71C2×M16×C101—21no—
72C2×M16×C101—22no—
73C2×M16×C101—21no—
74C2×M16×C101—22no—
75C2×M16×C101—22no—
76C2×M16×C101D414yescomplemented
77C2×M16×C101C2312yes—
78C2×M16×C101C2312yes—
79C22×C8×C101—21no—
80C22×C8×C101—21no—
81C4⋊Q8×C101—22no—
82#127×C101—22no—
83#124×C101—22no—
84#124×C101—22no—
85#123×C101—24no—
86#123×C101—24no—
87C22⋊Q8×C101—22no—
88C22⋊Q8×C101—22no—
89C22⋊Q8×C101—22no—
90C22⋊Q8×C101—22no—
91#121×C101—22no—
92#121×C101—22no—
93#121×C101—24no—
94#121×C101—24no—
95#121×C101—22no—
96#121×C101—22no—
97#120×C101—24no—
98#120×C101—24no—
99C4×D4×C101—24no—
100C4×D4×C101—24no—
101#117×C101—21no—
102#117×C101—21no—
103#117×C101—22no—
104#117×C101—22no—
105#117×C101D412yes—
106#117×C101C2312yes—
107C2×C4⋊C4×C101—21no—
108C2×C4⋊C4×C101—21no—
109C2×C4⋊C4×C101—21no—
110C2×C4⋊C4×C101—21no—
111C2×C4⋊C4×C101—21no—
112C2×C4⋊C4×C101—21no—
113C2×C4⋊C4×C101D411yescharacteristic
114C2×C4⋊C4×C101D411yescharacteristic
115C2×C4⋊C4×C101C2312yes—
116C2×C22⋊C4×C101—21no—
117C2×C22⋊C4×C101—21no—
118C2×C22⋊C4×C101—24no—
119C2×C42×C101—21no—
120C2×C42×C101C2312yes—
121#107×C101—24no—
122#106×C101—24no—
123#104×C101—28no—
124#103×C101—24no—
125#102×C101—24no—
126#101×C101—24no—
127#100×C101—24no—
128#95×C101—24no—
129C24×C101—21no—
130C24×C101C2×D412yes—
131C24×C101C2×D411yescharacteristic
132#41×C101—24no—
133#41×C101—24no—
134#41×C101—22no—
135#41×C101—22no—
136#41×C101—22no—
137#41×C101—22no—
138#41×C101—42no—
139#41×C101—42no—
140#41×C101—42no—
141#41×C101—42no—
142#41×C101—42no—
143#41×C101—42no—
144#41×C101—42no—
145#41×C101—42no—
146#41×C101—42no—
147#41×C101—42no—
148#41×C101—42no—
149#41×C101—42no—
150C2×Q8×C101—21no—
151C2×Q8×C101—21no—
152C2×Q8×C101—21no—
153C2×Q8×C101—21no—
154C2×Q8×C101—21no—
155C2×Q8×C101—21no—
156C2×Q8×C101—21no—
157C2×Q8×C101—22no—
158C2×Q8×C101—22no—
159C2×Q8×C101C2×D412yes—
160C2×D4×C101—22no—
161C2×D4×C101—22no—
162C2×D4×C101—22no—
163C2×D4×C101—24no—
164C2×D4×C101—24no—
165C2×D4×C101—22no—
166C2×D4×C101—24no—
167C2×D4×C101—24no—
168C2×D4×C101—21no—
169C2×D4×C101—22no—
170C2×D4×C101—22no—
171C2×D4×C101—21no—
172C2×D4×C101—21no—
173C2×D4×C101—21no—
174C2×D4×C101—21no—
175C2×D4×C101—21no—
176C2×D4×C101—21no—
177C2×D4×C101—42no—
178C2×D4×C101—42no—
179C2×D4×C101C2×D412yes—
180C22×C4×C101—21no—
181C22×C4×C101—21no—
182C22×C4×C101—21no—
183C22×C4×C101—22no—
184C22×C4×C101—22no—
185C22×C4×C101—22no—
186C22×C4×C101—24no—
187C22×C4×C101—24no—
188C22×C4×C101—22no—
189C22×C4×C101—22no—
190C22×C4×C101—22no—
191C22×C4×C101—42no—
192C22×C4×C101—42no—
193C22×C4×C101—41no—
194C22×C4×C101—41no—
195C22×C4×C101—82no—
196C22×C4×C101C2×D412yes—
197C22×C4×C101C2×D411yescharacteristic
198C22×C4×C101C2×D411yescharacteristic
199C22×C4×C101C2×D411yescharacteristic
200C22×C4×C101C2×D411yescharacteristic
201C22×C4×C101C2×D411yescharacteristic
202C22×C4×C101C2×D412yes—
203C22×C4×C101#4112yes—
204C22×C4×C101#4112yes—
205C22×C4×C101#4112yes—
206C22×C4×C101C2411yescharacteristic
207M16×C101—24no—
208M16×C101—22no—
209M16×C101—22no—
210M16×C101—22no—
211M16×C101—42no—
212M16×C101C2×D414yes—
213C2×C8×C101—24no—
214C2×C8×C101—22no—
215C2×C8×C101—22no—
216C2×C8×C101—42no—
217C4⋊C4×C101—24no—
218C4⋊C4×C101—24no—
219C4⋊C4×C101—21no—
220C4⋊C4×C101—21no—
221C4⋊C4×C101—22no—
222C4⋊C4×C101—22no—
223C4⋊C4×C101—41no—
224C4⋊C4×C101—41no—
225C4⋊C4×C101—42no—
226C4⋊C4×C101C2×D412yes—
227C4⋊C4×C101C2×D412yes—
228C22⋊C4×C101—24no—
229C22⋊C4×C101—24no—
230C22⋊C4×C101—24no—
231C22⋊C4×C101—24no—
232C22⋊C4×C101—22no—
233C22⋊C4×C101—22no—
234C22⋊C4×C101—42no—
235C22⋊C4×C101—84no—
236C42×C101—22no—
237C42×C101—22no—
238C42×C101—22no—
239C42×C101—22no—
240C23×C101—22no—
241C23×C101—22no—
242C23×C101—22no—
243C23×C101—22no—
244C23×C101—41no—
245C23×C101—41no—
246C23×C101—42no—
247C23×C101—42no—
248C23×C101—42no—
249C23×C101—81no—
250C23×C101—81no—
251C23×C101#12011yescharacteristic
252C23×C101#12011yescharacteristic
253C23×C101#12112yes—
254C23×C101#12312yes—
255C23×C101C22×D411yescharacteristic
256Q8×C101—22no—
257Q8×C101—22no—
258Q8×C101—41no—
259Q8×C101—41no—
260Q8×C101—41no—
261Q8×C101—41no—
262Q8×C101—42no—
263D4×C101—22no—
264D4×C101—22no—
265D4×C101—42no—
266D4×C101—42no—
267D4×C101—44no—
268D4×C101—44no—
269D4×C101—44no—
270D4×C101—41no—
271D4×C101—41no—
272D4×C101—41no—
273D4×C101—41no—
274D4×C101—42no—
275D4×C101—84no—
276D4×C101—84no—
277C2×C4×C101—22no—
278C2×C4×C101—22no—
279C2×C4×C101—22no—
280C2×C4×C101—22no—
281C2×C4×C101—22no—
282C2×C4×C101—22no—
283C2×C4×C101—42no—
284C2×C4×C101—42no—
285C2×C4×C101—42no—
286C2×C4×C101—44no—
287C2×C4×C101—44no—
288C2×C4×C101—44no—
289C2×C4×C101—42no—
290C2×C4×C101—44no—
291C2×C4×C101—42no—
292C2×C4×C101—42no—
293C2×C4×C101—42no—
294C2×C4×C101—81no—
295C2×C4×C101—81no—
296C2×C4×C101—82no—
297C2×C4×C101—82no—
298C2×C4×C101#12011yescharacteristic
299C2×C4×C101#12011yescharacteristic
300C2×C4×C101#12112yes—
301C2×C4×C101#12112yes—
302C2×C4×C101#12112yes—
303C2×C4×C101#12112yes—
304C2×C4×C101#12112yes—
305C2×C4×C101#12312yes—
306C2×C4×C101#12312yes—
307C2×C4×C101#12312yes—
308C2×C4×C101#12412yes—
309C2×C4×C101#12412yes—
310C2×C4×C101C22×D411yescharacteristic
311C2×C4×C101C22×D411yescharacteristic
312C2×C4×C101C22×D411yescharacteristic
313C2×C4×C101C2×#4111yescharacteristic
314C2×C4×C101C2×#4111yescharacteristic
315C2×C4×C101C2×#4111yescharacteristic
316C8×C101—24no—
317C8×C101—42no—
318C22×C101—21no—
319C22×C101—21no—
320C22×C101—21no—
321C22×C101—21no—
322C22×C101—21no—
323C22×C101—21no—
324C22×C101—42no—
325C22×C101—42no—
326C22×C101—44no—
327C22×C101—42no—
328C22×C101—42no—
329C22×C101—42no—
330C22×C101—42no—
331C22×C101—42no—
332C22×C101—42no—
333C22×C101—82no—
334C22×C101—84no—
335C22×C101#39412yes—
336C22×C101#39412yes—
337C22×C101C2×#12011yescharacteristic
338C22×C101C2×#12111yescharacteristic
339C22×C101C2×#12311yescharacteristic
340C4×C101—42no—
341C4×C101—42no—
342C4×C101—42no—
343C4×C101—42no—
344C4×C101—82no—
345C4×C101—82no—
346C4×C101#39412yes—
347C4×C101#39412yes—
348C4×C101C2×#12111yescharacteristic
349C4×C101C2×#12111yescharacteristic
350C4×C101C2×#12311yescharacteristic
351C4×C101C2×#12411yescharacteristic
352#23495C10111yesmaximal, characteristic, direct product factor, Sylow
353C2×C101—21no—
354C2×C101—21no—
355C2×C101—22no—
356C2×C101—22no—
357C2×C101—82no—
358C2×C101—82no—
359C2×C101C2×#39411yescharacteristic
360C2×C101#302111yescharacteristic
361C2×C101#302211yescharacteristic
362#3449C2×C10111yescharacteristic
363C2×#428C2×C10111yescharacteristic, complemented
364C2×#421C2×C10111yescharacteristic, complemented
365C2×#417C2×C10111yescharacteristic, complemented
366C2×#413C2×C10111yescharacteristic, complemented
367#2311C2×C10111yescharacteristic, complemented
368#2038C2×C10114yescomplemented
369#2037C2×C10114yescomplemented
370#1733C2×C10111yescharacteristic, complemented
371C101#2349511yescharacteristic, direct product factor, Sylow
372C22×#41C22×C10111yescharacteristic
373C22×#41C22×C10111yescharacteristic
374C22×M16C22×C10111yescharacteristic
375C22×M16C22×C10111yescharacteristic
376#537—21no—
377#537—21no—
378#536—21no—
379#536C22×C10112yes—
380#535—21no—
381#535C22×C10112yes—
382#534—22no—
383#532—22no—
384#525—22no—
385#525—22no—
386C2×#117C22×C10111yescharacteristic
387C2×#117C22×C10111yescharacteristic
388C22×C4⋊C4C22×C10111yescharacteristic
389#428—22no—
390#428C22×C10114yescomplemented
391C2×#107—21no—
392C2×#106—21no—
393#421—24no—
394C2×#104C22×C10114yes—
395#417—22no—
396#417C22×C10114yes—
397C2×#103—21no—
398C2×#102—21no—
399#413—24no—
400C2×#101C22×C10112yescomplemented
401C2×#100C22×C10112yescomplemented
402#391C22×C10112yescomplemented
403#390C22×C10112yescomplemented
404#386—22no—
405#380—22no—
406#339C22×C10114yescomplemented
407C2×#41—21no—
408C2×#41—21no—
409C2×#41—21no—
410C2×#41—21no—
411C2×#41—21no—
412C2×#41—21no—
413C2×#41—22no—
414C2×#41—22no—
415C2×#41—22no—
416C2×#41—22no—
417C2×#41—22no—
418C2×#41—22no—
419C2×#41—22no—
420C2×#41—22no—
421C2×#41D4×C10112yes—
422C2×#41C23×C10112yes—
423C22×Q8D4×C10111yescharacteristic
424C22×Q8C23×C10111yescharacteristic
425C22×D4—21no—
426C22×D4D4×C10112yes—
427C22×D4D4×C10111yescharacteristic
428C22×D4C23×C10111yescharacteristic
429C23×C4—21no—
430C23×C4—21no—
431C23×C4D4×C10112yes—
432C23×C4C23×C10111yescharacteristic
433C2×M16—21no—
434C2×M16—22no—
435C2×M16—21no—
436C2×M16—22no—
437C2×M16—22no—
438C2×M16D4×C10114yescomplemented
439C2×M16C23×C10112yes—
440C2×M16C23×C10112yes—
441C22×C8—21no—
442C22×C8—21no—
443C4⋊Q8—22no—
444#127—22no—
445#124—22no—
446#124—22no—
447#123—24no—
448#123—24no—
449C22⋊Q8—22no—
450C22⋊Q8—22no—
451C22⋊Q8—22no—
452C22⋊Q8—22no—
453#121—22no—
454#121—22no—
455#121—24no—
456#121—24no—
457#121—22no—
458#121—22no—
459#120—24no—
460#120—24no—
461C4×D4—24no—
462C4×D4—24no—
463#117—21no—
464#117—21no—
465#117—22no—
466#117—22no—
467#117D4×C10112yes—
468#117C23×C10112yes—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—21no—
471C2×C4⋊C4—21no—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4D4×C10111yescharacteristic
476C2×C4⋊C4D4×C10111yescharacteristic
477C2×C4⋊C4C23×C10112yes—
478C2×C22⋊C4—21no—
479C2×C22⋊C4—21no—
480C2×C22⋊C4—24no—
481C2×C42—21no—
482C2×C42C23×C10112yes—
483#107—24no—
484#106—24no—
485#104—28no—
486#103—24no—
487#102—24no—
488#101—24no—
489#100—24no—
490#95—24no—
491C24—21no—
492C24C2×D4×C10112yes—
493C24C2×D4×C10111yescharacteristic
494#41—24no—
495#41—24no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—42no—
501#41—42no—
502#41—42no—
503#41—42no—
504#41—42no—
505#41—42no—
506#41—42no—
507#41—42no—
508#41—42no—
509#41—42no—
510#41—42no—
511#41—42no—
512C2×Q8—21no—
513C2×Q8—21no—
514C2×Q8—21no—
515C2×Q8—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—22no—
520C2×Q8—22no—
521C2×Q8C2×D4×C10112yes—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—24no—
526C2×D4—24no—
527C2×D4—22no—
528C2×D4—24no—
529C2×D4—24no—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—21no—
534C2×D4—21no—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—42no—
540C2×D4—42no—
541C2×D4C2×D4×C10112yes—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—24no—
549C22×C4—24no—
550C22×C4—22no—
551C22×C4—22no—
552C22×C4—22no—
553C22×C4—42no—
554C22×C4—42no—
555C22×C4—41no—
556C22×C4—41no—
557C22×C4—82no—
558C22×C4C2×D4×C10112yes—
559C22×C4C2×D4×C10111yescharacteristic
560C22×C4C2×D4×C10111yescharacteristic
561C22×C4C2×D4×C10111yescharacteristic
562C22×C4C2×D4×C10111yescharacteristic
563C22×C4C2×D4×C10111yescharacteristic
564C22×C4C2×D4×C10112yes—
565C22×C4#41×C10112yes—
566C22×C4#41×C10112yes—
567C22×C4#41×C10112yes—
568C22×C4C24×C10111yescharacteristic
569M16—24no—
570M16—22no—
571M16—22no—
572M16—22no—
573M16—42no—
574M16C2×D4×C10114yes—
575C2×C8—24no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—42no—
579C4⋊C4—24no—
580C4⋊C4—24no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—41no—
586C4⋊C4—41no—
587C4⋊C4—42no—
588C4⋊C4C2×D4×C10112yes—
589C4⋊C4C2×D4×C10112yes—
590C22⋊C4—24no—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C22⋊C4—22no—
595C22⋊C4—22no—
596C22⋊C4—42no—
597C22⋊C4—84no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—81no—
612C23—81no—
613C23#120×C10111yescharacteristic
614C23#120×C10111yescharacteristic
615C23#121×C10112yes—
616C23#123×C10112yes—
617C23C22×D4×C10111yescharacteristic
618Q8—22no—
619Q8—22no—
620Q8—41no—
621Q8—41no—
622Q8—41no—
623Q8—41no—
624Q8—42no—
625D4—22no—
626D4—22no—
627D4—42no—
628D4—42no—
629D4—44no—
630D4—44no—
631D4—44no—
632D4—41no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—42no—
637D4—84no—
638D4—84no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—44no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—42no—
652C2×C4—44no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—81no—
657C2×C4—81no—
658C2×C4—82no—
659C2×C4—82no—
660C2×C4#120×C10111yescharacteristic
661C2×C4#120×C10111yescharacteristic
662C2×C4#121×C10112yes—
663C2×C4#121×C10112yes—
664C2×C4#121×C10112yes—
665C2×C4#121×C10112yes—
666C2×C4#121×C10112yes—
667C2×C4#123×C10112yes—
668C2×C4#123×C10112yes—
669C2×C4#123×C10112yes—
670C2×C4#124×C10112yes—
671C2×C4#124×C10112yes—
672C2×C4C22×D4×C10111yescharacteristic
673C2×C4C22×D4×C10111yescharacteristic
674C2×C4C22×D4×C10111yescharacteristic
675C2×C4C2×#41×C10111yescharacteristic
676C2×C4C2×#41×C10111yescharacteristic
677C2×C4C2×#41×C10111yescharacteristic
678C8—24no—
679C8—42no—
680C22—21no—
681C22—21no—
682C22—21no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—42no—
687C22—42no—
688C22—44no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—82no—
696C22—84no—
697C22#394×C10112yes—
698C22#394×C10112yes—
699C22C2×#120×C10111yescharacteristic
700C22C2×#121×C10111yescharacteristic
701C22C2×#123×C10111yescharacteristic
702C4—42no—
703C4—42no—
704C4—42no—
705C4—42no—
706C4—82no—
707C4—82no—
708C4#394×C10112yes—
709C4#394×C10112yes—
710C4C2×#121×C10111yescharacteristic
711C4C2×#121×C10111yescharacteristic
712C4C2×#123×C10111yescharacteristic
713C4C2×#124×C10111yescharacteristic
714C2—21no—
715C2—21no—
716C2—22no—
717C2—22no—
718C2—82no—
719C2—82no—
720C2C2×#394×C10111yescharacteristic
721C2C101×#302111yescharacteristic
722C2C101×#302211yescharacteristic
subgroupG/H
center, socleC22×C101C2×#120
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC101×#3449C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C101 ◁ C23×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×#428×C101C2semidirect
3. C2×#421×C101C2semidirect
4. C2×#417×C101C2semidirect
5. C2×#413×C101C2semidirect
6. C101×#2311C2semidirect
7. C101×#2038C2semidirect
8. C101×#2037C2semidirect
9. C101×#1733C2semidirect
28. #428×C101C22semidirect
38. C2×#101×C101C22semidirect
39. C2×#100×C101C22semidirect
40. #391×C101C22semidirect
41. #390×C101C22semidirect
44. #339×C101C22semidirect
76. C2×M16×C101D4semidirect
352. #23495C101direct (N × H)
363. C2×#428C2×C101semidirect
364. C2×#421C2×C101semidirect
365. C2×#417C2×C101semidirect
366. C2×#413C2×C101semidirect
367. #2311C2×C101semidirect
368. #2038C2×C101semidirect
369. #2037C2×C101semidirect
370. #1733C2×C101semidirect
371. C101#23495direct (N × H)
390. #428C22×C101semidirect
400. C2×#101C22×C101semidirect
401. C2×#100C22×C101semidirect
402. #391C22×C101semidirect
403. #390C22×C101semidirect
406. #339C22×C101semidirect
438. C2×M16D4×C101semidirect

Maximal subgroups

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

subgroupindex
C101×#34492
C2×#428×C1012
C2×#421×C1012
C2×#417×C1012
C2×#413×C1012
C101×#23112
C101×#20382
C101×#20372
C101×#17332
#23495101