Finite Group Databasebeta

← C101×#25197 #38807348

Subgroups — C101×#25197 #38807348

Order 25856.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C101×#3068C211yesmaximal, characteristic, complemented
2C101×#3068C211yesmaximal, characteristic, complemented
3C101×#3020C211yesmaximal, characteristic, complemented
4C2×#454×C101C211yesmaximal, characteristic, complemented
5C101×#2956C211yesmaximal, characteristic, complemented
6C101×#2889C211yesmaximal, characteristic, complemented
7C101×#2070C211yesmaximal, characteristic, complemented
8C101×#2050C211yesmaximal, characteristic, complemented
9C101×#2048C211yesmaximal, characteristic, complemented
10C101×#2003C211yesmaximal, characteristic, complemented
11C101×#1967C211yesmaximal, characteristic, complemented
12C101×#1932C211yesmaximal, characteristic, complemented
13C101×#1915C211yesmaximal, characteristic, complemented
14C101×#1903C211yesmaximal, characteristic, complemented
15C101×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C101C2211yescharacteristic
17#575×C101C2211yescharacteristic
18#575×C101C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C101C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C101C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C101C2211yescharacteristic
22#568×C101C2211yescharacteristic
23#568×C101C2211yescharacteristic
24#568×C101C2211yescharacteristic
25#536×C101C2211yescharacteristic
26C2×#124×C101C2211yescharacteristic
27#472×C101—22no—
28#472×C101—22no—
29#471×C101—22no—
30#471×C101—22no—
31#456×C101—22no—
32#454×C101—22no—
33#454×C101—22no—
34#454×C101—22no—
35#444×C101—22no—
36#443×C101—22no—
37#430×C101C2211yescharacteristic
38#430×C101C2211yescharacteristic
39#430×C101C2211yescharacteristic
40#423×C101C2211yescharacteristic
41#421×C101C2211yescharacteristic
42#421×C101C2211yescharacteristic
43C2×#104×C101C2211yescharacteristic
44C2×#104×C101C2211yescharacteristic
45C2×#104×C101C2211yescharacteristic
46#418×C101C2211yescharacteristic
47#413×C101—22no—
48#413×C101C2211yescharacteristic
49#413×C101C2211yescharacteristic
50#413×C101C2211yescharacteristic
51C2×#101×C101—22no—
52C2×#101×C101C2211yescharacteristic
53C2×#101×C101C2211yescharacteristic
54C2×#101×C101C2211yescharacteristic
55C2×#101×C101C2211yescharacteristic
56C2×#100×C101C2211yescharacteristic
57C2×#100×C101C2211yescharacteristic
58C4×M16×C101C2211yescharacteristic
59#344×C101C2211yescharacteristic
60#344×C101C2211yescharacteristic
61#339×C101C2211yescharacteristic
62#338×C101C2211yescharacteristic
632−1+4×C101—22no—
642−1+4×C101—22no—
652−1+4×C101—41no—
662−1+4×C101—41no—
67C2×#41×C101—21no—
68C2×#41×C101—21no—
69C2×#41×C101—22no—
70C2×#41×C101C2311yescharacteristic
71C2×#41×C101C2311yescharacteristic
72C2×#41×C101C2311yescharacteristic
73C22×Q8×C101—21no—
74C22×Q8×C101—21no—
75C22×Q8×C101C2311yescharacteristic
76C22×D4×C101C2311yescharacteristic
77#137×C101—21no—
78#137×C101—21no—
79#137×C101—21no—
80#137×C101D412yes—
81AGL(1,ℤ/8)×C101—21no—
82AGL(1,ℤ/8)×C101—22no—
83AGL(1,ℤ/8)×C101—22no—
84AGL(1,ℤ/8)×C101—21no—
85AGL(1,ℤ/8)×C101—21no—
86AGL(1,ℤ/8)×C101—22no—
87AGL(1,ℤ/8)×C101—22no—
88AGL(1,ℤ/8)×C101—41no—
89AGL(1,ℤ/8)×C101—41no—
90AGL(1,ℤ/8)×C101D412yes—
91#135×C101—22no—
92#135×C101—41no—
93C2×SD16×C101—21no—
94C2×SD16×C101—21no—
95C2×SD16×C101—21no—
96C2×D8×C101—21no—
97C2×D8×C101—21no—
98C2×D8×C101—21no—
99#131×C101—22no—
100#131×C101—22no—
101#131×C101—22no—
102#131×C101—22no—
103#131×C101—41no—
104#131×C101—41no—
105C2×M16×C101—22no—
106C2×M16×C101—22no—
107C2×M16×C101—41no—
108C2×M16×C101C2311yescharacteristic
109C2×M16×C101C2311yescharacteristic
110C2×M16×C101C2311yescharacteristic
111C2×M16×C101C2311yescharacteristic
112C2×M16×C101C2311yescharacteristic
113C2×M16×C101C2311yescharacteristic
114C2×M16×C101C2311yescharacteristic
115C2×M16×C101C2311yescharacteristic
116C4⋊Q8×C101—21no—
117#124×C101—21no—
118#124×C101—21no—
119#124×C101—21no—
120#124×C101—41no—
121#123×C101—22no—
122C22⋊Q8×C101—41no—
123#117×C101C2311yescharacteristic
124C2×C22⋊C4×C101—22no—
125C2×C42×C101C2311yescharacteristic
126#108×C101—22no—
127#108×C101—22no—
128#108×C101—22no—
129C4⋊C8×C101—41no—
130#104×C101—22no—
131#104×C101—22no—
132#104×C101—21no—
133#104×C101—21no—
134#104×C101—21no—
135#104×C101—21no—
136#104×C101D412yes—
137#104×C101D412yes—
138#102×C101—41no—
139#101×C101—21no—
140#101×C101—21no—
141#101×C101—22no—
142#101×C101—22no—
143#101×C101—22no—
144#101×C101—22no—
145#101×C101D412yes—
146#100×C101—21no—
147#100×C101—21no—
148#100×C101—22no—
149#100×C101—22no—
150#100×C101D412yes—
151#97×C101—21no—
152C4×C8×C101—21no—
153C24×C101—21no—
154#41×C101—21no—
155#41×C101—21no—
156#41×C101—21no—
157#41×C101—21no—
158#41×C101—21no—
159#41×C101—21no—
160#41×C101—21no—
161#41×C101—21no—
162#41×C101—21no—
163#41×C101—21no—
164#41×C101—42no—
165#41×C101—42no—
166#41×C101—44no—
167#41×C101—44no—
168#41×C101—42no—
169#41×C101—42no—
170#41×C101C2×D412yes—
171#41×C101C2×D412yes—
172C2×Q8×C101—22no—
173C2×Q8×C101—21no—
174C2×Q8×C101—21no—
175C2×Q8×C101—21no—
176C2×Q8×C101—21no—
177C2×Q8×C101—21no—
178C2×Q8×C101—21no—
179C2×Q8×C101—42no—
180C2×Q8×C101—42no—
181C2×Q8×C101—42no—
182C2×Q8×C101—42no—
183C2×Q8×C101C2×D411yescharacteristic
184C2×Q8×C101C2×D411yescharacteristic
185C2×Q8×C101#4111yescharacteristic
186C2×D4×C101—21no—
187C2×D4×C101—22no—
188C2×D4×C101—21no—
189C2×D4×C101—21no—
190C2×D4×C101—21no—
191C2×D4×C101—21no—
192C2×D4×C101—21no—
193C2×D4×C101—21no—
194C2×D4×C101—21no—
195C2×D4×C101—21no—
196C2×D4×C101C2×D411yescharacteristic
197C2×D4×C101C2×D411yescharacteristic
198C2×D4×C101#4111yescharacteristic
199C22×C4×C101—21no—
200C22×C4×C101—22no—
201C22×C4×C101—22no—
202C22×C4×C101—21no—
203C22×C4×C101—21no—
204C22×C4×C101—21no—
205C22×C4×C101#4112yes—
206C22×C4×C101C2411yescharacteristic
207Q16×C101—22no—
208Q16×C101—41no—
209SD16×C101—22no—
210SD16×C101—22no—
211SD16×C101—42no—
212SD16×C101—42no—
213SD16×C101—41no—
214SD16×C101—41no—
215SD16×C101—42no—
216D8×C101—22no—
217D8×C101—42no—
218D8×C101—42no—
219D8×C101—41no—
220D8×C101—42no—
221M16×C101—21no—
222M16×C101—21no—
223M16×C101—21no—
224M16×C101—21no—
225M16×C101—21no—
226M16×C101—21no—
227M16×C101—21no—
228M16×C101—21no—
229M16×C101—21no—
230M16×C101—21no—
231M16×C101—21no—
232M16×C101—21no—
233M16×C101—42no—
234M16×C101—42no—
235M16×C101—42no—
236M16×C101C2×D412yes—
237M16×C101C2×D412yes—
238M16×C101C2×D412yes—
239M16×C101C2×D412yes—
240C2×C8×C101—21no—
241C2×C8×C101—21no—
242C2×C8×C101—21no—
243C2×C8×C101—21no—
244C2×C8×C101—21no—
245C2×C8×C101—21no—
246C2×C8×C101—21no—
247C2×C8×C101—21no—
248C2×C8×C101—42no—
249C2×C8×C101—42no—
250C2×C8×C101—42no—
251C4⋊C4×C101—21no—
252C4⋊C4×C101—42no—
253C22⋊C4×C101—21no—
254C22⋊C4×C101—42no—
255C22⋊C4×C101—42no—
256C22⋊C4×C101—42no—
257C42×C101—21no—
258C42×C101—21no—
259C42×C101C2×D411yescharacteristic
260C42×C101C2×D411yescharacteristic
261C23×C101—21no—
262C23×C101—21no—
263C23×C101—21no—
264C23×C101—41no—
265C23×C101—41no—
266C23×C101—41no—
267C23×C101—82no—
268C23×C101C2×#4111yescharacteristic
269Q8×C101—21no—
270Q8×C101—21no—
271Q8×C101—21no—
272Q8×C101—21no—
273Q8×C101—21no—
274Q8×C101—44no—
275Q8×C101—41no—
276Q8×C101—41no—
277Q8×C101—41no—
278Q8×C101—41no—
279Q8×C101#12112yes—
280D4×C101—22no—
281D4×C101—22no—
282D4×C101—21no—
283D4×C101—21no—
284D4×C101—21no—
285D4×C101—21no—
286D4×C101—21no—
287D4×C101—44no—
288D4×C101—41no—
289D4×C101—41no—
290D4×C101—41no—
291D4×C101—41no—
292D4×C101—41no—
293D4×C101—41no—
294D4×C101—41no—
295D4×C101—41no—
296D4×C101#12112yes—
297C2×C4×C101—21no—
298C2×C4×C101—22no—
299C2×C4×C101—22no—
300C2×C4×C101—21no—
301C2×C4×C101—22no—
302C2×C4×C101—21no—
303C2×C4×C101—21no—
304C2×C4×C101—22no—
305C2×C4×C101—22no—
306C2×C4×C101—21no—
307C2×C4×C101—44no—
308C2×C4×C101—44no—
309C2×C4×C101—41no—
310C2×C4×C101—41no—
311C2×C4×C101—41no—
312C2×C4×C101—41no—
313C2×C4×C101—41no—
314C2×C4×C101—81no—
315C2×C4×C101C22×D411yescharacteristic
316C2×C4×C101C22×D411yescharacteristic
317C2×C4×C101C22×D411yescharacteristic
318C2×C4×C101C2×#4111yescharacteristic
319C2×C4×C101H(5,𝔽2)11yescharacteristic
320C2×C4×C101H(5,𝔽2)11yescharacteristic
321C8×C101—22no—
322C8×C101—22no—
323C8×C101—22no—
324C8×C101—22no—
325C8×C101—41no—
326C8×C101—41no—
327C8×C101—41no—
328C8×C101—41no—
329C22×C101—22no—
330C22×C101—41no—
331C22×C101—41no—
332C22×C101—41no—
333C22×C101—81no—
334C22×C101—81no—
335C22×C101—81no—
336C22×C101—82no—
337C22×C101—81no—
338C22×C101—161no—
339C22×C101—161no—
340C22×C101#52511yescharacteristic
341C22×C101#54611yescharacteristic
342C22×C101#54611yescharacteristic
343C4×C101—22no—
344C4×C101—41no—
345C4×C101—41no—
346C4×C101—42no—
347C4×C101—41no—
348C4×C101—41no—
349C4×C101—81no—
350C4×C101C2×#12111yescharacteristic
351C4×C101#53811yescharacteristic
352C4×C101D4211yescharacteristic
353C4×C101D4211yescharacteristic
354#25197C10111yesmaximal, characteristic, direct product factor, Sylow
355C2×C101—21no—
356C2×C101—21no—
357C2×C101—21no—
358C2×C101—42no—
359C2×C101—81no—
360C2×C101—81no—
361C2×C101—161no—
362C2×C101#242411yescharacteristic
363#3068C2×C10111yescharacteristic, complemented
364#3068C2×C10111yescharacteristic, complemented
365#3020C2×C10111yescharacteristic, complemented
366C2×#454C2×C10111yescharacteristic, complemented
367#2956C2×C10111yescharacteristic, complemented
368#2889C2×C10111yescharacteristic, complemented
369#2070C2×C10111yescharacteristic, complemented
370#2050C2×C10111yescharacteristic, complemented
371#2048C2×C10111yescharacteristic, complemented
372#2003C2×C10111yescharacteristic, complemented
373#1967C2×C10111yescharacteristic, complemented
374#1932C2×C10111yescharacteristic, complemented
375#1915C2×C10111yescharacteristic, complemented
376#1903C2×C10111yescharacteristic, complemented
377#1861C2×C10111yescharacteristic, complemented
378C101#2519711yescharacteristic, direct product factor, Sylow
379C2×2−1+4C22×C10111yescharacteristic
380#575C22×C10111yescharacteristic
381#575C22×C10111yescharacteristic
382C2×AGL(1,ℤ/8)C22×C10111yescharacteristic
383C2×AGL(1,ℤ/8)C22×C10111yescharacteristic
384C2×AGL(1,ℤ/8)C22×C10111yescharacteristic
385#568C22×C10111yescharacteristic
386#568C22×C10111yescharacteristic
387#568C22×C10111yescharacteristic
388#536C22×C10111yescharacteristic
389C2×#124C22×C10111yescharacteristic
390#472—22no—
391#472—22no—
392#471—22no—
393#471—22no—
394#456—22no—
395#454—22no—
396#454—22no—
397#454—22no—
398#444—22no—
399#443—22no—
400#430C22×C10111yescharacteristic
401#430C22×C10111yescharacteristic
402#430C22×C10111yescharacteristic
403#423C22×C10111yescharacteristic
404#421C22×C10111yescharacteristic
405#421C22×C10111yescharacteristic
406C2×#104C22×C10111yescharacteristic
407C2×#104C22×C10111yescharacteristic
408C2×#104C22×C10111yescharacteristic
409#418C22×C10111yescharacteristic
410#413—22no—
411#413C22×C10111yescharacteristic
412#413C22×C10111yescharacteristic
413#413C22×C10111yescharacteristic
414C2×#101—22no—
415C2×#101C22×C10111yescharacteristic
416C2×#101C22×C10111yescharacteristic
417C2×#101C22×C10111yescharacteristic
418C2×#101C22×C10111yescharacteristic
419C2×#100C22×C10111yescharacteristic
420C2×#100C22×C10111yescharacteristic
421C4×M16C22×C10111yescharacteristic
422#344C22×C10111yescharacteristic
423#344C22×C10111yescharacteristic
424#339C22×C10111yescharacteristic
425#338C22×C10111yescharacteristic
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C10111yescharacteristic
434C2×#41C23×C10111yescharacteristic
435C2×#41C23×C10111yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C10111yescharacteristic
439C22×D4C23×C10111yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C10112yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C10112yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C10111yescharacteristic
472C2×M16C23×C10111yescharacteristic
473C2×M16C23×C10111yescharacteristic
474C2×M16C23×C10111yescharacteristic
475C2×M16C23×C10111yescharacteristic
476C2×M16C23×C10111yescharacteristic
477C2×M16C23×C10111yescharacteristic
478C2×M16C23×C10111yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C10111yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C10111yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C10112yes—
500#104D4×C10112yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C10112yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C10112yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C10112yes—
534#41C2×D4×C10112yes—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C10111yescharacteristic
547C2×Q8C2×D4×C10111yescharacteristic
548C2×Q8#41×C10111yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C10111yescharacteristic
560C2×D4C2×D4×C10111yescharacteristic
561C2×D4#41×C10111yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C10112yes—
569C22×C4C24×C10111yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C10112yes—
600M16C2×D4×C10112yes—
601M16C2×D4×C10112yes—
602M16C2×D4×C10112yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C10111yescharacteristic
623C42C2×D4×C10111yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C10111yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C10112yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C10112yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C10111yescharacteristic
679C2×C4C22×D4×C10111yescharacteristic
680C2×C4C22×D4×C10111yescharacteristic
681C2×C4C2×#41×C10111yescharacteristic
682C2×C4H(5,𝔽2)×C10111yescharacteristic
683C2×C4H(5,𝔽2)×C10111yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22#525×C10111yescharacteristic
704C22#546×C10111yescharacteristic
705C22#546×C10111yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C10111yescharacteristic
714C4#538×C10111yescharacteristic
715C4D42×C10111yescharacteristic
716C4D42×C10111yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C101×#242411yescharacteristic
subgroupG/H
center, socleC2×C101#2424
commutator, Frattini, cosocleC22×C4C24×C101
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C101 ◁ C22×C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
1. C101×#3068C2semidirect
2. C101×#3068C2semidirect
3. C101×#3020C2semidirect
4. C2×#454×C101C2semidirect
5. C101×#2956C2semidirect
6. C101×#2889C2semidirect
7. C101×#2070C2semidirect
8. C101×#2050C2semidirect
9. C101×#2048C2semidirect
10. C101×#2003C2semidirect
11. C101×#1967C2semidirect
12. C101×#1932C2semidirect
13. C101×#1915C2semidirect
14. C101×#1903C2semidirect
15. C101×#1861C2semidirect
354. #25197C101direct (N × H)
363. #3068C2×C101semidirect
364. #3068C2×C101semidirect
365. #3020C2×C101semidirect
366. C2×#454C2×C101semidirect
367. #2956C2×C101semidirect
368. #2889C2×C101semidirect
369. #2070C2×C101semidirect
370. #2050C2×C101semidirect
371. #2048C2×C101semidirect
372. #2003C2×C101semidirect
373. #1967C2×C101semidirect
374. #1932C2×C101semidirect
375. #1915C2×C101semidirect
376. #1903C2×C101semidirect
377. #1861C2×C101semidirect
378. C101#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C101×#30682
C101×#30202
C2×#454×C1012
C101×#29562
C101×#28892
C101×#20702
C101×#20502
C101×#20482
C101×#20032
C101×#19672
C101×#19322
C101×#19152
C101×#19032
C101×#18612
#25197101