Finite Group Databasebeta

← C101×#26176 #38808327

Subgroups — C101×#26176 #38808327

Order 25856.

902 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#463×C101C211yesmaximal, characteristic
2C2×#442×C101C211yesmaximal, characteristic
3C101×#2447C211yesmaximal, characteristic, complemented
4C101×#2349C211yesmaximal, characteristic, complemented
5C101×#2097C211yesmaximal, characteristic, complemented
6C101×#2088C211yesmaximal, characteristic, complemented
7C101×#2073C211yesmaximal, characteristic, complemented
8C101×#2042C211yesmaximal, characteristic, complemented
9C101×#1935C211yesmaximal, characteristic, complemented
10C101×#1917C211yesmaximal, characteristic, complemented
11C101×#1879C211yesmaximal, characteristic
12C101×#1877C211yesmaximal, characteristic, complemented
13C101×#1877C211yesmaximal, characteristic, complemented
14C101×#1862C211yesmaximal, characteristic, complemented
15C101×#1862C211yesmaximal, characteristic, complemented
16C22×SD16×C101C2211yescharacteristic
17C22×D8×C101C2211yescharacteristic
18C2×#124×C101C2211yescharacteristic
19C2×C4×D4×C101C2211yescharacteristic
20C2×C4×D4×C101C2211yescharacteristic
21C2×C4×D4×C101C2211yescharacteristic
22C2×C4×D4×C101C2211yescharacteristic
23#463×C101—24no—
24#442×C101—24no—
25C2×#107×C101C2211yescharacteristic
26C2×#106×C101C2211yescharacteristic
27C2×C4⋊C8×C101C2211yescharacteristic
28C2×#103×C101C2211yescharacteristic
29C2×#103×C101C2211yescharacteristic
30C2×#103×C101C2211yescharacteristic
31C2×#102×C101C2211yescharacteristic
32C2×#102×C101C2211yescharacteristic
33C2×#102×C101C2211yescharacteristic
34C2×#102×C101C2211yescharacteristic
35C2×#102×C101C2211yescharacteristic
36C2×#97×C101C2211yescharacteristic
37#397×C101—21no—
38#397×C101—21no—
39#391×C101C2211yescharacteristic
40#391×C101C2211yescharacteristic
41#390×C101C2211yescharacteristic
42#389×C101C2211yescharacteristic
43#389×C101C2211yescharacteristic
44#389×C101C2211yescharacteristic
45#385×C101—21no—
46#385×C101—21no—
47#385×C101—21no—
48#382×C101C2211yescharacteristic
49#381×C101—21no—
50#380×C101—21no—
51C4×C4⋊C4×C101C2211yescharacteristic
52C2×#95×C101—21no—
53#340×C101C2211yescharacteristic
54#340×C101C2211yescharacteristic
55#340×C101C2211yescharacteristic
56#340×C101C2211yescharacteristic
57#336×C101C2211yescharacteristic
58#336×C101C2211yescharacteristic
59#336×C101C2211yescharacteristic
60#336×C101C2211yescharacteristic
61C22×Q8×C101C2311yescharacteristic
62C22×D4×C101C2311yescharacteristic
63C22×D4×C101C2311yescharacteristic
64C23×C4×C101—21no—
65C23×C4×C101—21no—
66C23×C4×C101—21no—
67C23×C4×C101—21no—
68C2×SD16×C101—22no—
69C2×SD16×C101—22no—
70C2×SD16×C101—22no—
71C2×D8×C101—22no—
72C2×D8×C101—22no—
73C2×D8×C101D414yes—
74C22×C8×C101C2311yescharacteristic
75C22×C8×C101C2311yescharacteristic
76C22×C8×C101C2311yescharacteristic
77C22×C8×C101C2311yescharacteristic
78#124×C101—22no—
79#124×C101—41no—
80C4×D4×C101—22no—
81C4×D4×C101—22no—
82C4×D4×C101—22no—
83C4×D4×C101—22no—
84C4×D4×C101—22no—
85C4×D4×C101—41no—
86C4×D4×C101—41no—
87C4×D4×C101—41no—
88C2×C4⋊C4×C101—21no—
89C2×C4⋊C4×C101—21no—
90C2×C4⋊C4×C101—21no—
91C2×C4⋊C4×C101D411yescharacteristic
92C2×C4⋊C4×C101D411yescharacteristic
93C2×C4⋊C4×C101C2311yescharacteristic
94C2×C4⋊C4×C101C2311yescharacteristic
95C2×C4⋊C4×C101C2311yescharacteristic
96C2×C4⋊C4×C101C2311yescharacteristic
97C2×C4⋊C4×C101C2311yescharacteristic
98C2×C22⋊C4×C101—21no—
99C2×C22⋊C4×C101—21no—
100C2×C22⋊C4×C101—21no—
101C2×C22⋊C4×C101—21no—
102C2×C22⋊C4×C101—21no—
103C2×C22⋊C4×C101—21no—
104C2×C22⋊C4×C101—21no—
105C2×C22⋊C4×C101—21no—
106C2×C42×C101C2311yescharacteristic
107C2×C42×C101C2311yescharacteristic
108C2×C42×C101C2311yescharacteristic
109#107×C101—41no—
110#106×C101—22no—
111C4⋊C8×C101—22no—
112#103×C101—22no—
113#103×C101—22no—
114#103×C101—41no—
115#102×C101—22no—
116#102×C101—22no—
117#102×C101—22no—
118#102×C101—22no—
119#102×C101—22no—
120#97×C101—22no—
121#95×C101—21no—
122#95×C101—21no—
123#95×C101—21no—
124#95×C101—21no—
125#95×C101—21no—
126#95×C101—21no—
127#95×C101—21no—
128#95×C101—21no—
129#95×C101—21no—
130#95×C101D411yescharacteristic
131#95×C101D411yescharacteristic
132C24×C101—21no—
133C24×C101—21no—
134C2×Q8×C101—21no—
135C2×Q8×C101—21no—
136C2×Q8×C101—21no—
137C2×Q8×C101—21no—
138C2×Q8×C101—21no—
139C2×Q8×C101—21no—
140C2×D4×C101—21no—
141C2×D4×C101—21no—
142C2×D4×C101—21no—
143C2×D4×C101—21no—
144C2×D4×C101—21no—
145C2×D4×C101—21no—
146C2×D4×C101—21no—
147C2×D4×C101—21no—
148C2×D4×C101C2×D412yes—
149C2×D4×C101C2×D412yes—
150C2×D4×C101#4112yes—
151C2×D4×C101#4112yes—
152C22×C4×C101—21no—
153C22×C4×C101—24no—
154C22×C4×C101—21no—
155C22×C4×C101—21no—
156C22×C4×C101—21no—
157C22×C4×C101—21no—
158C22×C4×C101—21no—
159C22×C4×C101—42no—
160C22×C4×C101—42no—
161C22×C4×C101—42no—
162C22×C4×C101—42no—
163C22×C4×C101—42no—
164C22×C4×C101—42no—
165C22×C4×C101—81no—
166C22×C4×C101—81no—
167C22×C4×C101—81no—
168C22×C4×C101—81no—
169C22×C4×C101—81no—
170C22×C4×C101C2×D411yescharacteristic
171C22×C4×C101C2×D411yescharacteristic
172C22×C4×C101C2×D411yescharacteristic
173C22×C4×C101C2×D411yescharacteristic
174C22×C4×C101C2×D411yescharacteristic
175C22×C4×C101C2×D411yescharacteristic
176C22×C4×C101C2411yescharacteristic
177SD16×C101—44no—
178D8×C101—28no—
179C2×C8×C101—21no—
180C2×C8×C101—21no—
181C2×C8×C101—21no—
182C2×C8×C101—21no—
183C2×C8×C101—21no—
184C2×C8×C101—21no—
185C2×C8×C101—21no—
186C2×C8×C101—21no—
187C2×C8×C101—21no—
188C2×C8×C101—21no—
189C2×C8×C101—21no—
190C2×C8×C101C2×D412yes—
191C4⋊C4×C101—21no—
192C4⋊C4×C101—21no—
193C4⋊C4×C101—21no—
194C4⋊C4×C101—21no—
195C4⋊C4×C101—21no—
196C4⋊C4×C101—21no—
197C4⋊C4×C101—21no—
198C4⋊C4×C101—21no—
199C4⋊C4×C101—21no—
200C4⋊C4×C101—41no—
201C4⋊C4×C101—41no—
202C4⋊C4×C101—81no—
203C4⋊C4×C101—81no—
204C4⋊C4×C101—81no—
205C4⋊C4×C101#4112yes—
206C22⋊C4×C101—24no—
207C22⋊C4×C101—42no—
208C22⋊C4×C101—42no—
209C22⋊C4×C101—42no—
210C22⋊C4×C101—42no—
211C22⋊C4×C101—42no—
212C22⋊C4×C101—42no—
213C22⋊C4×C101—81no—
214C42×C101—21no—
215C42×C101—21no—
216C42×C101—21no—
217C42×C101—21no—
218C42×C101—21no—
219C42×C101—21no—
220C23×C101—22no—
221C23×C101—22no—
222C23×C101—22no—
223C23×C101—22no—
224C23×C101—41no—
225C23×C101—41no—
226C23×C101—41no—
227C23×C101—41no—
228C23×C101—41no—
229C23×C101—41no—
230C23×C101—41no—
231C23×C101—41no—
232C23×C101—41no—
233C23×C101—41no—
234C23×C101C22×D411yescharacteristic
235Q8×C101—41no—
236Q8×C101—41no—
237Q8×C101—41no—
238Q8×C101—41no—
239D4×C101—22no—
240D4×C101—22no—
241D4×C101—22no—
242D4×C101—22no—
243D4×C101—22no—
244D4×C101—41no—
245D4×C101—41no—
246D4×C101#12314yes—
247C2×C4×C101—21no—
248C2×C4×C101—21no—
249C2×C4×C101—22no—
250C2×C4×C101—21no—
251C2×C4×C101—21no—
252C2×C4×C101—21no—
253C2×C4×C101—21no—
254C2×C4×C101—21no—
255C2×C4×C101—21no—
256C2×C4×C101—21no—
257C2×C4×C101—21no—
258C2×C4×C101—21no—
259C2×C4×C101—21no—
260C2×C4×C101—21no—
261C2×C4×C101—21no—
262C2×C4×C101—21no—
263C2×C4×C101—21no—
264C2×C4×C101—21no—
265C2×C4×C101—21no—
266C2×C4×C101—41no—
267C2×C4×C101—41no—
268C2×C4×C101—41no—
269C2×C4×C101—41no—
270C2×C4×C101—41no—
271C2×C4×C101—41no—
272C2×C4×C101—41no—
273C2×C4×C101—41no—
274C2×C4×C101—41no—
275C2×C4×C101—41no—
276C2×C4×C101—41no—
277C2×C4×C101—41no—
278C2×C4×C101—41no—
279C2×C4×C101—41no—
280C2×C4×C101—41no—
281C2×C4×C101—41no—
282C2×C4×C101—41no—
283C2×C4×C101—84no—
284C2×C4×C101—84no—
285C2×C4×C101—84no—
286C2×C4×C101—84no—
287C2×C4×C101C22×D411yescharacteristic
288C2×C4×C101C2×#4111yescharacteristic
289C2×C4×C101C2×#4111yescharacteristic
290C2×C4×C101C2×#4111yescharacteristic
291C2×C4×C101H(5,𝔽2)11yescharacteristic
292C2×C4×C1012−1+411yescharacteristic
293C8×C101—22no—
294C8×C101—41no—
295C8×C101—41no—
296C8×C101—41no—
297C22×C101—24no—
298C22×C101—42no—
299C22×C101—42no—
300C22×C101—42no—
301C22×C101—42no—
302C22×C101—42no—
303C22×C101—42no—
304C22×C101—42no—
305C22×C101—42no—
306C22×C101—42no—
307C22×C101—81no—
308C22×C101—81no—
309C22×C101—81no—
310C22×C101—81no—
311C22×C101#52511yescharacteristic
312C22×C101D4211yescharacteristic
313C22×C101#54811yescharacteristic
314C22×C101#57511yescharacteristic
315C22×C101#57511yescharacteristic
316C22×C101#57611yescharacteristic
317C22×C101#57711yescharacteristic
318C4×C101—41no—
319C4×C101—41no—
320C4×C101—42no—
321C4×C101—41no—
322C4×C101—41no—
323C4×C101—41no—
324C4×C101—41no—
325C4×C101—81no—
326C4×C101—81no—
327C4×C101—81no—
328C4×C101—81no—
329C4×C101—81no—
330C4×C101C2×#12311yescharacteristic
331C4×C101#53911yescharacteristic
332C4×C101#54711yescharacteristic
333C4×C101#55311yescharacteristic
334#26176C10111yesmaximal, characteristic, direct product factor, Sylow
335C2×C101—44no—
336C2×C101—82no—
337C2×C101#244311yescharacteristic
338C2×C101#311111yescharacteristic
339C2×C101#311811yescharacteristic
340C2×C101#326711yescharacteristic
341C2×C101#327311yescharacteristic
342C2×C101#337011yescharacteristic
343C2×C101#337611yescharacteristic
344C2×#463C2×C10111yescharacteristic
345C2×#442C2×C10111yescharacteristic
346#2447C2×C10111yescharacteristic, complemented
347#2349C2×C10111yescharacteristic, complemented
348#2097C2×C10111yescharacteristic, complemented
349#2088C2×C10111yescharacteristic, complemented
350#2073C2×C10111yescharacteristic, complemented
351#2042C2×C10111yescharacteristic, complemented
352#1935C2×C10111yescharacteristic, complemented
353#1917C2×C10111yescharacteristic, complemented
354#1879C2×C10111yescharacteristic
355#1877C2×C10111yescharacteristic, complemented
356#1877C2×C10111yescharacteristic, complemented
357#1862C2×C10111yescharacteristic, complemented
358#1862C2×C10111yescharacteristic, complemented
359C101#2617611yescharacteristic, direct product factor, Sylow
360C22×SD16C22×C10111yescharacteristic
361C22×D8C22×C10111yescharacteristic
362C2×#124C22×C10111yescharacteristic
363C2×C4×D4C22×C10111yescharacteristic
364C2×C4×D4C22×C10111yescharacteristic
365C2×C4×D4C22×C10111yescharacteristic
366C2×C4×D4C22×C10111yescharacteristic
367#463—24no—
368#442—24no—
369C2×#107C22×C10111yescharacteristic
370C2×#106C22×C10111yescharacteristic
371C2×C4⋊C8C22×C10111yescharacteristic
372C2×#103C22×C10111yescharacteristic
373C2×#103C22×C10111yescharacteristic
374C2×#103C22×C10111yescharacteristic
375C2×#102C22×C10111yescharacteristic
376C2×#102C22×C10111yescharacteristic
377C2×#102C22×C10111yescharacteristic
378C2×#102C22×C10111yescharacteristic
379C2×#102C22×C10111yescharacteristic
380C2×#97C22×C10111yescharacteristic
381#397—21no—
382#397—21no—
383#391C22×C10111yescharacteristic
384#391C22×C10111yescharacteristic
385#390C22×C10111yescharacteristic
386#389C22×C10111yescharacteristic
387#389C22×C10111yescharacteristic
388#389C22×C10111yescharacteristic
389#385—21no—
390#385—21no—
391#385—21no—
392#382C22×C10111yescharacteristic
393#381—21no—
394#380—21no—
395C4×C4⋊C4C22×C10111yescharacteristic
396C2×#95—21no—
397#340C22×C10111yescharacteristic
398#340C22×C10111yescharacteristic
399#340C22×C10111yescharacteristic
400#340C22×C10111yescharacteristic
401#336C22×C10111yescharacteristic
402#336C22×C10111yescharacteristic
403#336C22×C10111yescharacteristic
404#336C22×C10111yescharacteristic
405C22×Q8C23×C10111yescharacteristic
406C22×D4C23×C10111yescharacteristic
407C22×D4C23×C10111yescharacteristic
408C23×C4—21no—
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—21no—
412C2×SD16—22no—
413C2×SD16—22no—
414C2×SD16—22no—
415C2×D8—22no—
416C2×D8—22no—
417C2×D8D4×C10114yes—
418C22×C8C23×C10111yescharacteristic
419C22×C8C23×C10111yescharacteristic
420C22×C8C23×C10111yescharacteristic
421C22×C8C23×C10111yescharacteristic
422#124—22no—
423#124—41no—
424C4×D4—22no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C4×D4—22no—
429C4×D4—41no—
430C4×D4—41no—
431C4×D4—41no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4D4×C10111yescharacteristic
436C2×C4⋊C4D4×C10111yescharacteristic
437C2×C4⋊C4C23×C10111yescharacteristic
438C2×C4⋊C4C23×C10111yescharacteristic
439C2×C4⋊C4C23×C10111yescharacteristic
440C2×C4⋊C4C23×C10111yescharacteristic
441C2×C4⋊C4C23×C10111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C42C23×C10111yescharacteristic
451C2×C42C23×C10111yescharacteristic
452C2×C42C23×C10111yescharacteristic
453#107—41no—
454#106—22no—
455C4⋊C8—22no—
456#103—22no—
457#103—22no—
458#103—41no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—22no—
463#102—22no—
464#97—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95D4×C10111yescharacteristic
475#95D4×C10111yescharacteristic
476C24—21no—
477C24—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4C2×D4×C10112yes—
493C2×D4C2×D4×C10112yes—
494C2×D4#41×C10112yes—
495C2×D4#41×C10112yes—
496C22×C4—21no—
497C22×C4—24no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—81no—
514C22×C4C2×D4×C10111yescharacteristic
515C22×C4C2×D4×C10111yescharacteristic
516C22×C4C2×D4×C10111yescharacteristic
517C22×C4C2×D4×C10111yescharacteristic
518C22×C4C2×D4×C10111yescharacteristic
519C22×C4C2×D4×C10111yescharacteristic
520C22×C4C24×C10111yescharacteristic
521SD16—44no—
522D8—28no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8C2×D4×C10112yes—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—41no—
545C4⋊C4—41no—
546C4⋊C4—81no—
547C4⋊C4—81no—
548C4⋊C4—81no—
549C4⋊C4#41×C10112yes—
550C22⋊C4—24no—
551C22⋊C4—42no—
552C22⋊C4—42no—
553C22⋊C4—42no—
554C22⋊C4—42no—
555C22⋊C4—42no—
556C22⋊C4—42no—
557C22⋊C4—81no—
558C42—21no—
559C42—21no—
560C42—21no—
561C42—21no—
562C42—21no—
563C42—21no—
564C23—22no—
565C23—22no—
566C23—22no—
567C23—22no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23C22×D4×C10111yescharacteristic
579Q8—41no—
580Q8—41no—
581Q8—41no—
582Q8—41no—
583D4—22no—
584D4—22no—
585D4—22no—
586D4—22no—
587D4—22no—
588D4—41no—
589D4—41no—
590D4#123×C10114yes—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4C22×D4×C10111yescharacteristic
632C2×C4C2×#41×C10111yescharacteristic
633C2×C4C2×#41×C10111yescharacteristic
634C2×C4C2×#41×C10111yescharacteristic
635C2×C4H(5,𝔽2)×C10111yescharacteristic
636C2×C42−1+4×C10111yescharacteristic
637C8—22no—
638C8—41no—
639C8—41no—
640C8—41no—
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—42no—
647C22—42no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22—81no—
655C22#525×C10111yescharacteristic
656C22D42×C10111yescharacteristic
657C22#548×C10111yescharacteristic
658C22#575×C10111yescharacteristic
659C22#575×C10111yescharacteristic
660C22#576×C10111yescharacteristic
661C22#577×C10111yescharacteristic
662C4—41no—
663C4—41no—
664C4—41no—
665C4—41no—
666C4—41no—
667C4—41no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4—81no—
674C4C2×#123×C10111yescharacteristic
675C4#539×C10111yescharacteristic
676C4#547×C10111yescharacteristic
677C4#553×C10111yescharacteristic
678C2—44no—
679C2—82no—
680C2C101×#244311yescharacteristic
681C2C101×#311111yescharacteristic
682C2C101×#311811yescharacteristic
683C2C101×#326711yescharacteristic
684C2C101×#327311yescharacteristic
685C2C101×#337011yescharacteristic
686C2C101×#337611yescharacteristic
subgroupG/H
center, socleC23×C101C22×D4
commutator, Frattini, cosocleC22×C4C24×C101
prime radicalC22×D8×C101C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C101 ◁ C4×C4⋊C4×C101 ◁ G

Complements

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

NH ≅ G/Ntype
3. C101×#2447C2semidirect
4. C101×#2349C2semidirect
5. C101×#2097C2semidirect
6. C101×#2088C2semidirect
7. C101×#2073C2semidirect
8. C101×#2042C2semidirect
9. C101×#1935C2semidirect
10. C101×#1917C2semidirect
12. C101×#1877C2semidirect
13. C101×#1877C2semidirect
14. C101×#1862C2semidirect
15. C101×#1862C2semidirect
334. #26176C101direct (N × H)
346. #2447C2×C101semidirect
347. #2349C2×C101semidirect
348. #2097C2×C101semidirect
349. #2088C2×C101semidirect
350. #2073C2×C101semidirect
351. #2042C2×C101semidirect
352. #1935C2×C101semidirect
353. #1917C2×C101semidirect
355. #1877C2×C101semidirect
356. #1877C2×C101semidirect
357. #1862C2×C101semidirect
358. #1862C2×C101semidirect
359. C101#26176direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#463×C1012
C2×#442×C1012
C101×#24472
C101×#23492
C101×#20972
C101×#20882
C101×#20732
C101×#20422
C101×#19352
C101×#19172
C101×#18792
C101×#18772
C101×#18622
#26176101