Finite Group Databasebeta

← C107×#11293 #41037257

Subgroups — C107×#11293 #41037257

Order 27392.

842 conjugacy classes of subgroups.

The subgroup lattice has 654 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#389×C107C211yesmaximal, characteristic
2C2×#340×C107C211yesmaximal, characteristic
3C2×#340×C107C211yesmaximal, characteristic
4C2×#340×C107C211yesmaximal, characteristic
5C2×#340×C107C211yesmaximal, characteristic
6C2×#336×C107C211yesmaximal, characteristic
7C107×C4⋊#95C211yesmaximal, characteristic
8C23×C8×C107C2211yescharacteristic
9C23×C8×C107C2211yescharacteristic
10C22×C4⋊C4×C107—21no—
11C22×C4⋊C4×C107C2211yescharacteristic
12C22×C4⋊C4×C107C2211yescharacteristic
13C22×C4⋊C4×C107C2211yescharacteristic
14C22×C4⋊C4×C107C2211yescharacteristic
15C22×C42×C107C2211yescharacteristic
16#389×C107—22no—
17#389×C107—22no—
18C2×#95×C107—21no—
19C2×#95×C107—21no—
20C2×#95×C107—21no—
21#340×C107—22no—
22#340×C107—22no—
23#340×C107—22no—
24#340×C107C414yescomplemented
25#336×C107—22no—
26C23×C4×C107—21no—
27C23×C4×C107—21no—
28C23×C4×C107—21no—
29C23×C4×C107—21no—
30C23×C4×C107D411yescharacteristic
31C23×C4×C107D411yescharacteristic
32C23×C4×C107C2311yescharacteristic
33C22×C8×C107—21no—
34C22×C8×C107—21no—
35C22×C8×C107—21no—
36C22×C8×C107—21no—
37C22×C8×C107—21no—
38C22×C8×C107—21no—
39C22×C8×C107—21no—
40C22×C8×C107—21no—
41C22×C8×C107—21no—
42C22×C8×C107—21no—
43C22×C8×C107—21no—
44C22×C8×C107—21no—
45C22×C8×C107C2×C412yes—
46C22×C8×C107D412yes—
47C2×C4⋊C4×C107—21no—
48C2×C4⋊C4×C107—21no—
49C2×C4⋊C4×C107—21no—
50C2×C4⋊C4×C107—21no—
51C2×C4⋊C4×C107—21no—
52C2×C4⋊C4×C107—21no—
53C2×C4⋊C4×C107—21no—
54C2×C4⋊C4×C107—21no—
55C2×C4⋊C4×C107—21no—
56C2×C4⋊C4×C107—21no—
57C2×C4⋊C4×C107—21no—
58C2×C4⋊C4×C107—21no—
59C2×C4⋊C4×C107—21no—
60C2×C4⋊C4×C107—21no—
61C2×C4⋊C4×C107—21no—
62C2×C4⋊C4×C107—24no—
63C2×C4⋊C4×C107—21no—
64C2×C4⋊C4×C107—21no—
65C2×C4⋊C4×C107—21no—
66C2×C4⋊C4×C107—42no—
67C2×C4⋊C4×C107—42no—
68C2×C4⋊C4×C107C2×C412yes—
69C2×C4⋊C4×C107C2×C412yes—
70C2×C4⋊C4×C107D412yes—
71C2×C4⋊C4×C107D412yes—
72C2×C4⋊C4×C107Q812yes—
73C2×C4⋊C4×C107Q812yes—
74C2×C42×C107—21no—
75C2×C42×C107—21no—
76C2×C42×C107—21no—
77C2×C42×C107—21no—
78C2×C42×C107—21no—
79C2×C42×C107—21no—
80#95×C107—24no—
81#95×C107—42no—
82#95×C107—42no—
83C24×C107C2×D411yescharacteristic
84C22×C4×C107—22no—
85C22×C4×C107—21no—
86C22×C4×C107—22no—
87C22×C4×C107—21no—
88C22×C4×C107—21no—
89C22×C4×C107—21no—
90C22×C4×C107—22no—
91C22×C4×C107—21no—
92C22×C4×C107—21no—
93C22×C4×C107—21no—
94C22×C4×C107—21no—
95C22×C4×C107—21no—
96C22×C4×C107—21no—
97C22×C4×C107—21no—
98C22×C4×C107—21no—
99C22×C4×C107—22no—
100C22×C4×C107—22no—
101C22×C4×C107—22no—
102C22×C4×C107—41no—
103C22×C4×C107—41no—
104C22×C4×C107—41no—
105C22×C4×C107—41no—
106C22×C4×C107—41no—
107C22×C4×C107—41no—
108C22×C4×C107—41no—
109C22×C4×C107—41no—
110C22×C4×C107—41no—
111C22×C4×C107—41no—
112C22×C4×C107—41no—
113C22×C4×C107—41no—
114C22×C4×C107—41no—
115C22×C4×C107—41no—
116C22×C4×C107—41no—
117C22×C4×C107—41no—
118C22×C4×C107—41no—
119C22×C4×C107—41no—
120C22×C4×C107—41no—
121C22×C4×C107—41no—
122C22×C4×C107—41no—
123C22×C4×C107—41no—
124C22×C4×C107SD1612yes—
125C22×C4×C107Q1612yes—
126C22×C4×C107C22×C411yescharacteristic
127C22×C4×C107C2×D411yescharacteristic
128C22×C4×C107C2×D411yescharacteristic
129C22×C4×C107C2×D411yescharacteristic
130C22×C4×C107C2×Q811yescharacteristic
131C22×C4×C107C2×Q811yescharacteristic
132C22×C4×C107#4111yescharacteristic
133C22×C4×C107#4111yescharacteristic
134C22×C4×C107#4111yescharacteristic
135C22×C4×C107#4111yescharacteristic
136C22×C4×C107#4111yescharacteristic
137C22×C4×C107#4111yescharacteristic
138C22×C4×C107#4111yescharacteristic
139C22×C4×C107#4111yescharacteristic
140C2×C8×C107—22no—
141C2×C8×C107—22no—
142C2×C8×C107—22no—
143C2×C8×C107—22no—
144C2×C8×C107—22no—
145C2×C8×C107—22no—
146C2×C8×C107—41no—
147C2×C8×C107—41no—
148C2×C8×C107—41no—
149C2×C8×C107—41no—
150C2×C8×C107—41no—
151C2×C8×C107—41no—
152C2×C8×C107—41no—
153C2×C8×C107—41no—
154C4⋊C4×C107—22no—
155C4⋊C4×C107—22no—
156C4⋊C4×C107—22no—
157C4⋊C4×C107—22no—
158C4⋊C4×C107—22no—
159C4⋊C4×C107—22no—
160C4⋊C4×C107—22no—
161C4⋊C4×C107—22no—
162C4⋊C4×C107—22no—
163C4⋊C4×C107—48no—
164C4⋊C4×C107—41no—
165C4⋊C4×C107—41no—
166C4⋊C4×C107—41no—
167C4⋊C4×C107—41no—
168C4⋊C4×C107—41no—
169C4⋊C4×C107—41no—
170C4⋊C4×C107C4⋊C414yes—
171C42×C107—41no—
172C42×C107—41no—
173C42×C107—41no—
174C42×C107—41no—
175C23×C107C4×D411yescharacteristic
176C23×C107#12011yescharacteristic
177C23×C107#12111yescharacteristic
178C23×C107C22⋊Q811yescharacteristic
179C23×C107C22⋊Q811yescharacteristic
180C23×C107#12311yescharacteristic
181C23×C107#12411yescharacteristic
182C23×C107C2×SD1611yescharacteristic
183C23×C107C2×Q1611yescharacteristic
184C23×C107#13511yescharacteristic
185C23×C107#13511yescharacteristic
186C23×C107AGL(1,ℤ/8)11yescharacteristic
187C23×C107AGL(1,ℤ/8)11yescharacteristic
188C23×C107AGL(1,ℤ/8)11yescharacteristic
189C23×C107#13711yescharacteristic
190C2×C4×C107—24no—
191C2×C4×C107—22no—
192C2×C4×C107—22no—
193C2×C4×C107—22no—
194C2×C4×C107—22no—
195C2×C4×C107—22no—
196C2×C4×C107—22no—
197C2×C4×C107—41no—
198C2×C4×C107—41no—
199C2×C4×C107—42no—
200C2×C4×C107—42no—
201C2×C4×C107—41no—
202C2×C4×C107—41no—
203C2×C4×C107—42no—
204C2×C4×C107—42no—
205C2×C4×C107—41no—
206C2×C4×C107—41no—
207C2×C4×C107—42no—
208C2×C4×C107—42no—
209C2×C4×C107—41no—
210C2×C4×C107—41no—
211C2×C4×C107—42no—
212C2×C4×C107—42no—
213C2×C4×C107—42no—
214C2×C4×C107—42no—
215C2×C4×C107—42no—
216C2×C4×C107—42no—
217C2×C4×C107—42no—
218C2×C4×C107—42no—
219C2×C4×C107—42no—
220C2×C4×C107—81no—
221C2×C4×C107—81no—
222C2×C4×C107—81no—
223C2×C4×C107—81no—
224C2×C4×C107—81no—
225C2×C4×C107—81no—
226C2×C4×C107—81no—
227C2×C4×C107—81no—
228C2×C4×C107—81no—
229C2×C4×C107—81no—
230C2×C4×C107—81no—
231C2×C4×C107—81no—
232C2×C4×C107C2×C4⋊C411yescharacteristic
233C2×C4×C107#11711yescharacteristic
234C2×C4×C107#11711yescharacteristic
235C2×C4×C107C4×D411yescharacteristic
236C2×C4×C107C4×D411yescharacteristic
237C2×C4×C107C4×Q811yescharacteristic
238C2×C4×C107#12111yescharacteristic
239C2×C4×C107#12111yescharacteristic
240C2×C4×C107C22⋊Q811yescharacteristic
241C2×C4×C107C22⋊Q811yescharacteristic
242C2×C4×C107C22⋊Q811yescharacteristic
243C2×C4×C107#12311yescharacteristic
244C2×C4×C107#12311yescharacteristic
245C2×C4×C107#12311yescharacteristic
246C2×C4×C107#12311yescharacteristic
247C2×C4×C107#12411yescharacteristic
248C2×C4×C107#12411yescharacteristic
249C2×C4×C107#12411yescharacteristic
250C2×C4×C107#12511yescharacteristic
251C2×C4×C107#12511yescharacteristic
252C2×C4×C107#12511yescharacteristic
253C2×C4×C107#12511yescharacteristic
254C2×C4×C107#12511yescharacteristic
255C2×C4×C107#12611yescharacteristic
256C2×C4×C107#12611yescharacteristic
257C2×C4×C107#12611yescharacteristic
258C2×C4×C107#12611yescharacteristic
259C2×C4×C107C4⋊Q811yescharacteristic
260C8×C107—42no—
261C8×C107—42no—
262C22×C107#38511yescharacteristic
263C22×C107#38711yescharacteristic
264C22×C107#38811yescharacteristic
265C22×C107#39311yescharacteristic
266C22×C107#39411yescharacteristic
267C22×C107#39811yescharacteristic
268C22×C107#40011yescharacteristic
269C22×C107C4×SD1611yescharacteristic
270C22×C107C4×Q1611yescharacteristic
271C22×C107#44011yescharacteristic
272C22×C107#44211yescharacteristic
273C22×C107#44911yescharacteristic
274C22×C107#44911yescharacteristic
275C22×C107#45011yescharacteristic
276C22×C107#45111yescharacteristic
277C22×C107#46511yescharacteristic
278C22×C107#46711yescharacteristic
279C22×C107#46811yescharacteristic
280C22×C107#46911yescharacteristic
281C22×C107#47511yescharacteristic
282C22×C107#47611yescharacteristic
283C22×C107#47711yescharacteristic
284C22×C107#47711yescharacteristic
285C22×C107#47811yescharacteristic
286C22×C107#47811yescharacteristic
287C22×C107#47811yescharacteristic
288C22×C107#47911yescharacteristic
289C22×C107#48111yescharacteristic
290C22×C107#48211yescharacteristic
291C22×C107#48411yescharacteristic
292C22×C107#48511yescharacteristic
293C22×C107#48711yescharacteristic
294C22×C107#48811yescharacteristic
295C22×C107#48911yescharacteristic
296C22×C107#49011yescharacteristic
297C4×C107—44no—
298C4×C107—42no—
299C4×C107—42no—
300C4×C107—82no—
301C4×C107—82no—
302C4×C107—82no—
303C4×C107#38211yescharacteristic
304C4×C107#38711yescharacteristic
305C4×C107#38811yescharacteristic
306C4×C107#38911yescharacteristic
307C4×C107#39711yescharacteristic
308C4×C107#39811yescharacteristic
309C4×C107#40011yescharacteristic
310C4×C107#40011yescharacteristic
311#11293C10711yesmaximal, characteristic, direct product factor, Sylow
312C2×C107#144211yescharacteristic
313C2×C107#186311yescharacteristic
314C2×C107#186411yescharacteristic
315C2×C107#191911yescharacteristic
316C2×C107#192111yescharacteristic
317C2×C107#193311yescharacteristic
318C2×C107#193611yescharacteristic
319C2×C107#202411yescharacteristic
320C2×C107#202511yescharacteristic
321C2×C107#203411yescharacteristic
322C2×C107#203611yescharacteristic
323C2×C107#208711yescharacteristic
324C2×C107#208811yescharacteristic
325C2×C107#210011yescharacteristic
326C2×C107#210111yescharacteristic
327C2×#389C2×C10711yescharacteristic
328C2×#340C2×C10711yescharacteristic
329C2×#340C2×C10711yescharacteristic
330C2×#340C2×C10711yescharacteristic
331C2×#340C2×C10711yescharacteristic
332C2×#336C2×C10711yescharacteristic
333C4⋊#95C2×C10711yescharacteristic
334C107#1129311yescharacteristic, direct product factor, Sylow
335C23×C8C22×C10711yescharacteristic
336C23×C8C22×C10711yescharacteristic
337C22×C4⋊C4—21no—
338C22×C4⋊C4C22×C10711yescharacteristic
339C22×C4⋊C4C22×C10711yescharacteristic
340C22×C4⋊C4C22×C10711yescharacteristic
341C22×C4⋊C4C22×C10711yescharacteristic
342C22×C42C22×C10711yescharacteristic
343#389—22no—
344#389—22no—
345C2×#95—21no—
346C2×#95—21no—
347C2×#95—21no—
348#340—22no—
349#340—22no—
350#340—22no—
351#340C4×C10714yescomplemented
352#336—22no—
353C23×C4—21no—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4—21no—
357C23×C4D4×C10711yescharacteristic
358C23×C4D4×C10711yescharacteristic
359C23×C4C23×C10711yescharacteristic
360C22×C8—21no—
361C22×C8—21no—
362C22×C8—21no—
363C22×C8—21no—
364C22×C8—21no—
365C22×C8—21no—
366C22×C8—21no—
367C22×C8—21no—
368C22×C8—21no—
369C22×C8—21no—
370C22×C8—21no—
371C22×C8—21no—
372C22×C8C2×C4×C10712yes—
373C22×C8D4×C10712yes—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—21no—
378C2×C4⋊C4—21no—
379C2×C4⋊C4—21no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—24no—
390C2×C4⋊C4—21no—
391C2×C4⋊C4—21no—
392C2×C4⋊C4—21no—
393C2×C4⋊C4—42no—
394C2×C4⋊C4—42no—
395C2×C4⋊C4C2×C4×C10712yes—
396C2×C4⋊C4C2×C4×C10712yes—
397C2×C4⋊C4D4×C10712yes—
398C2×C4⋊C4D4×C10712yes—
399C2×C4⋊C4Q8×C10712yes—
400C2×C4⋊C4Q8×C10712yes—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—21no—
404C2×C42—21no—
405C2×C42—21no—
406C2×C42—21no—
407#95—24no—
408#95—42no—
409#95—42no—
410C24C2×D4×C10711yescharacteristic
411C22×C4—22no—
412C22×C4—21no—
413C22×C4—22no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—22no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—41no—
430C22×C4—41no—
431C22×C4—41no—
432C22×C4—41no—
433C22×C4—41no—
434C22×C4—41no—
435C22×C4—41no—
436C22×C4—41no—
437C22×C4—41no—
438C22×C4—41no—
439C22×C4—41no—
440C22×C4—41no—
441C22×C4—41no—
442C22×C4—41no—
443C22×C4—41no—
444C22×C4—41no—
445C22×C4—41no—
446C22×C4—41no—
447C22×C4—41no—
448C22×C4—41no—
449C22×C4—41no—
450C22×C4—41no—
451C22×C4SD16×C10712yes—
452C22×C4Q16×C10712yes—
453C22×C4C22×C4×C10711yescharacteristic
454C22×C4C2×D4×C10711yescharacteristic
455C22×C4C2×D4×C10711yescharacteristic
456C22×C4C2×D4×C10711yescharacteristic
457C22×C4C2×Q8×C10711yescharacteristic
458C22×C4C2×Q8×C10711yescharacteristic
459C22×C4#41×C10711yescharacteristic
460C22×C4#41×C10711yescharacteristic
461C22×C4#41×C10711yescharacteristic
462C22×C4#41×C10711yescharacteristic
463C22×C4#41×C10711yescharacteristic
464C22×C4#41×C10711yescharacteristic
465C22×C4#41×C10711yescharacteristic
466C22×C4#41×C10711yescharacteristic
467C2×C8—22no—
468C2×C8—22no—
469C2×C8—22no—
470C2×C8—22no—
471C2×C8—22no—
472C2×C8—22no—
473C2×C8—41no—
474C2×C8—41no—
475C2×C8—41no—
476C2×C8—41no—
477C2×C8—41no—
478C2×C8—41no—
479C2×C8—41no—
480C2×C8—41no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—22no—
490C4⋊C4—48no—
491C4⋊C4—41no—
492C4⋊C4—41no—
493C4⋊C4—41no—
494C4⋊C4—41no—
495C4⋊C4—41no—
496C4⋊C4—41no—
497C4⋊C4C4⋊C4×C10714yes—
498C42—41no—
499C42—41no—
500C42—41no—
501C42—41no—
502C23C4×D4×C10711yescharacteristic
503C23#120×C10711yescharacteristic
504C23#121×C10711yescharacteristic
505C23C22⋊Q8×C10711yescharacteristic
506C23C22⋊Q8×C10711yescharacteristic
507C23#123×C10711yescharacteristic
508C23#124×C10711yescharacteristic
509C23C2×SD16×C10711yescharacteristic
510C23C2×Q16×C10711yescharacteristic
511C23#135×C10711yescharacteristic
512C23#135×C10711yescharacteristic
513C23AGL(1,ℤ/8)×C10711yescharacteristic
514C23AGL(1,ℤ/8)×C10711yescharacteristic
515C23AGL(1,ℤ/8)×C10711yescharacteristic
516C23#137×C10711yescharacteristic
517C2×C4—24no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—22no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—41no—
525C2×C4—41no—
526C2×C4—42no—
527C2×C4—42no—
528C2×C4—41no—
529C2×C4—41no—
530C2×C4—42no—
531C2×C4—42no—
532C2×C4—41no—
533C2×C4—41no—
534C2×C4—42no—
535C2×C4—42no—
536C2×C4—41no—
537C2×C4—41no—
538C2×C4—42no—
539C2×C4—42no—
540C2×C4—42no—
541C2×C4—42no—
542C2×C4—42no—
543C2×C4—42no—
544C2×C4—42no—
545C2×C4—42no—
546C2×C4—42no—
547C2×C4—81no—
548C2×C4—81no—
549C2×C4—81no—
550C2×C4—81no—
551C2×C4—81no—
552C2×C4—81no—
553C2×C4—81no—
554C2×C4—81no—
555C2×C4—81no—
556C2×C4—81no—
557C2×C4—81no—
558C2×C4—81no—
559C2×C4C2×C4⋊C4×C10711yescharacteristic
560C2×C4#117×C10711yescharacteristic
561C2×C4#117×C10711yescharacteristic
562C2×C4C4×D4×C10711yescharacteristic
563C2×C4C4×D4×C10711yescharacteristic
564C2×C4C4×Q8×C10711yescharacteristic
565C2×C4#121×C10711yescharacteristic
566C2×C4#121×C10711yescharacteristic
567C2×C4C22⋊Q8×C10711yescharacteristic
568C2×C4C22⋊Q8×C10711yescharacteristic
569C2×C4C22⋊Q8×C10711yescharacteristic
570C2×C4#123×C10711yescharacteristic
571C2×C4#123×C10711yescharacteristic
572C2×C4#123×C10711yescharacteristic
573C2×C4#123×C10711yescharacteristic
574C2×C4#124×C10711yescharacteristic
575C2×C4#124×C10711yescharacteristic
576C2×C4#124×C10711yescharacteristic
577C2×C4#125×C10711yescharacteristic
578C2×C4#125×C10711yescharacteristic
579C2×C4#125×C10711yescharacteristic
580C2×C4#125×C10711yescharacteristic
581C2×C4#125×C10711yescharacteristic
582C2×C4#126×C10711yescharacteristic
583C2×C4#126×C10711yescharacteristic
584C2×C4#126×C10711yescharacteristic
585C2×C4#126×C10711yescharacteristic
586C2×C4C4⋊Q8×C10711yescharacteristic
587C8—42no—
588C8—42no—
589C22#385×C10711yescharacteristic
590C22#387×C10711yescharacteristic
591C22#388×C10711yescharacteristic
592C22#393×C10711yescharacteristic
593C22#394×C10711yescharacteristic
594C22#398×C10711yescharacteristic
595C22#400×C10711yescharacteristic
596C22C4×SD16×C10711yescharacteristic
597C22C4×Q16×C10711yescharacteristic
598C22#440×C10711yescharacteristic
599C22#442×C10711yescharacteristic
600C22#449×C10711yescharacteristic
601C22#449×C10711yescharacteristic
602C22#450×C10711yescharacteristic
603C22#451×C10711yescharacteristic
604C22#465×C10711yescharacteristic
605C22#467×C10711yescharacteristic
606C22#468×C10711yescharacteristic
607C22#469×C10711yescharacteristic
608C22#475×C10711yescharacteristic
609C22#476×C10711yescharacteristic
610C22#477×C10711yescharacteristic
611C22#477×C10711yescharacteristic
612C22#478×C10711yescharacteristic
613C22#478×C10711yescharacteristic
614C22#478×C10711yescharacteristic
615C22#479×C10711yescharacteristic
616C22#481×C10711yescharacteristic
617C22#482×C10711yescharacteristic
618C22#484×C10711yescharacteristic
619C22#485×C10711yescharacteristic
620C22#487×C10711yescharacteristic
621C22#488×C10711yescharacteristic
622C22#489×C10711yescharacteristic
623C22#490×C10711yescharacteristic
624C4—44no—
625C4—42no—
626C4—42no—
627C4—82no—
628C4—82no—
629C4—82no—
630C4#382×C10711yescharacteristic
631C4#387×C10711yescharacteristic
632C4#388×C10711yescharacteristic
633C4#389×C10711yescharacteristic
634C4#397×C10711yescharacteristic
635C4#398×C10711yescharacteristic
636C4#400×C10711yescharacteristic
637C4#400×C10711yescharacteristic
638C2C107×#144211yescharacteristic
639C2C107×#186311yescharacteristic
640C2C107×#186411yescharacteristic
641C2C107×#191911yescharacteristic
642C2C107×#192111yescharacteristic
643C2C107×#193311yescharacteristic
644C2C107×#193611yescharacteristic
645C2C107×#202411yescharacteristic
646C2C107×#202511yescharacteristic
647C2C107×#203411yescharacteristic
648C2C107×#203611yescharacteristic
649C2C107×#208711yescharacteristic
650C2C107×#208811yescharacteristic
651C2C107×#210011yescharacteristic
652C2C107×#210111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C107C2×D4
commutatorC22×C4C22×C4×C107
Frattini, cosocleC23×C4C23×C107
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24×C107 ◁ C22×C42×C107 ◁ G

Complements

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

NH ≅ G/Ntype
24. #340×C107C4semidirect
311. #11293C107direct (N × H)
334. C107#11293direct (N × H)
351. #340C4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#389×C1072
C2×#340×C1072
C2×#336×C1072
C107×C4⋊#952
#11293107