Finite Group Databasebeta

← C107×#35056 #41061020

Subgroups — C107×#35056 #41061020

Order 27392.

2198 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2854C211yesmaximal, characteristic, complemented
2C107×#2853C211yesmaximal, characteristic, complemented
3C107×#2849C211yesmaximal, characteristic, complemented
4C107×#2847C211yesmaximal, characteristic, complemented
5C107×#2667C211yesmaximal, characteristic, complemented
6C107×#2661C211yesmaximal, characteristic, complemented
7C107×#2649C211yesmaximal, characteristic, complemented
8C107×#2648C211yesmaximal, characteristic, complemented
9C107×#2569C211yesmaximal, characteristic, complemented
10C107×#2543C211yesmaximal, characteristic, complemented
11C107×#2539C211yesmaximal, characteristic, complemented
12C107×#2534C211yesmaximal, characteristic, complemented
13C107×#2531C211yesmaximal, characteristic, complemented
14C107×#2526C211yesmaximal, characteristic, complemented
15C107×#2522C211yesmaximal, characteristic, complemented
16C107×#2516C211yesmaximal, characteristic, complemented
17C107×#2476C211yesmaximal, characteristic, complemented
18C107×#2471C211yesmaximal, characteristic, complemented
19C107×#2464C211yesmaximal, characteristic, complemented
20C107×#2457C211yesmaximal, characteristic, complemented
21C107×#2425C211yesmaximal, characteristic, complemented
22C107×#2424C211yesmaximal, characteristic, complemented
23C107×#2419C211yesmaximal, characteristic, complemented
24C107×#2418C211yesmaximal, characteristic, complemented
25C107×#2335C211yesmaximal, characteristic, complemented
26C107×#2335C211yesmaximal, characteristic, complemented
27C107×#2333C211yesmaximal, characteristic, complemented
28C107×#2333C211yesmaximal, characteristic, complemented
29C4×#121×C107C211yesmaximal, characteristic, complemented
30C107×#2290C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C107C211yesmaximal, characteristic, complemented
32C24×C4×C107C2211yescharacteristic
33C2×#123×C107C2211yescharacteristic
34C2×#123×C107C2211yescharacteristic
35C2×#123×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×#121×C107C2211yescharacteristic
40C2×#121×C107C2211yescharacteristic
41C2×#121×C107C2211yescharacteristic
42C2×#121×C107C2211yescharacteristic
43C2×#121×C107C2211yescharacteristic
44C2×#121×C107C2211yescharacteristic
45C2×#120×C107C2211yescharacteristic
46C2×#120×C107C2211yescharacteristic
47C2×#120×C107C2211yescharacteristic
48C2×C4×D4×C107C2211yescharacteristic
49C2×C4×D4×C107C2211yescharacteristic
50C2×C4×D4×C107C2211yescharacteristic
51C2×C4×D4×C107C2211yescharacteristic, complemented
52C2×#117×C107C2211yescharacteristic, complemented
53C22×C22⋊C4×C107C2211yescharacteristic
54C22×C22⋊C4×C107C2211yescharacteristic
55C22×C42×C107C2211yescharacteristic
56C22×C42×C107C2211yescharacteristic
57#400×C107C2211yescharacteristic, complemented
58#400×C107C2211yescharacteristic, complemented
59#400×C107C2211yescharacteristic, complemented
60#399×C107C2211yescharacteristic
61#399×C107C2211yescharacteristic
62#399×C107C2211yescharacteristic
63#398×C107C2211yescharacteristic, complemented
64#398×C107C2211yescharacteristic, complemented
65#398×C107C2211yescharacteristic, complemented
66#398×C107C2211yescharacteristic, complemented
67#398×C107C2211yescharacteristic, complemented
68#397×C107C2211yescharacteristic
69#397×C107C2211yescharacteristic, complemented
70#397×C107C2211yescharacteristic, complemented
71#397×C107C2211yescharacteristic, complemented
72#397×C107C2211yescharacteristic, complemented
73#396×C107C2211yescharacteristic
74#396×C107C2211yescharacteristic
75#396×C107C2211yescharacteristic
76#396×C107C2211yescharacteristic, complemented
77#394×C107C2211yescharacteristic
78#394×C107C2211yescharacteristic
79#394×C107C2211yescharacteristic
80#394×C107C2211yescharacteristic
81#394×C107C2211yescharacteristic
82#394×C107C2211yescharacteristic
83#394×C107C2211yescharacteristic, complemented
84#394×C107C2211yescharacteristic, complemented
85#392×C107C2211yescharacteristic
86#392×C107C2211yescharacteristic
87#392×C107C2211yescharacteristic
88#392×C107C2211yescharacteristic, complemented
89#390×C107C2211yescharacteristic
90#390×C107C2211yescharacteristic
91#390×C107C2211yescharacteristic
92#390×C107C2211yescharacteristic
93#390×C107C2211yescharacteristic
94#390×C107C2211yescharacteristic, complemented
95#390×C107C2211yescharacteristic, complemented
96#390×C107C2211yescharacteristic, complemented
97#389×C107C2211yescharacteristic, complemented
98#389×C107C2211yescharacteristic, complemented
99#389×C107C2211yescharacteristic, complemented
100#389×C107C2211yescharacteristic, complemented
101#388×C107C2211yescharacteristic
102#388×C107C2211yescharacteristic
103#388×C107C2211yescharacteristic
104#388×C107C2211yescharacteristic
105#388×C107C2211yescharacteristic
106#388×C107C2211yescharacteristic, complemented
107#388×C107C2211yescharacteristic, complemented
108#388×C107C2211yescharacteristic, complemented
109#388×C107C2211yescharacteristic, complemented
110#388×C107C2211yescharacteristic, complemented
111#388×C107C2211yescharacteristic, complemented
112#388×C107C2211yescharacteristic, complemented
113#388×C107C2211yescharacteristic, complemented
114#388×C107C2211yescharacteristic, complemented
115#388×C107C2211yescharacteristic, complemented
116#388×C107C2211yescharacteristic, complemented
117#388×C107C2211yescharacteristic, complemented
118#388×C107C2211yescharacteristic, complemented
119#388×C107C2211yescharacteristic, complemented
120#388×C107C2211yescharacteristic, complemented
121#387×C107C2211yescharacteristic, complemented
122#387×C107C2211yescharacteristic, complemented
123#387×C107C2211yescharacteristic, complemented
124#387×C107C2211yescharacteristic, complemented
125#387×C107C2211yescharacteristic, complemented
126#387×C107C2211yescharacteristic, complemented
127#387×C107C2211yescharacteristic, complemented
128#387×C107C2211yescharacteristic, complemented
129#387×C107C2211yescharacteristic, complemented
130#387×C107C2211yescharacteristic, complemented
131#387×C107C2211yescharacteristic, complemented
132#387×C107C2211yescharacteristic, complemented
133#386×C107C2211yescharacteristic
134#386×C107C2211yescharacteristic
135#386×C107C2211yescharacteristic
136#386×C107C2211yescharacteristic
137#386×C107C2211yescharacteristic
138#386×C107C2211yescharacteristic
139#386×C107C2211yescharacteristic
140#386×C107C2211yescharacteristic
141#386×C107C2211yescharacteristic
142#386×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic, complemented
150#386×C107C2211yescharacteristic, complemented
151#386×C107C2211yescharacteristic, complemented
152#385×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic, complemented
159#381×C107C2211yescharacteristic
160#381×C107C2211yescharacteristic
161#381×C107C2211yescharacteristic
162#381×C107C2211yescharacteristic, complemented
163#380×C107C2211yescharacteristic
164#380×C107C2211yescharacteristic
165#380×C107C2211yescharacteristic
166#380×C107C2211yescharacteristic
167#380×C107C2211yescharacteristic
168#380×C107C2211yescharacteristic, complemented
169#379×C107C2211yescharacteristic
170C4×C4⋊C4×C107C2211yescharacteristic, complemented
171C4×C4⋊C4×C107C2211yescharacteristic, complemented
172C4×C22⋊C4×C107C2211yescharacteristic
173C4×C22⋊C4×C107C2211yescharacteristic
174C4×C22⋊C4×C107C2211yescharacteristic
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic
178C4×C22⋊C4×C107C2211yescharacteristic
179C4×C22⋊C4×C107C2211yescharacteristic
180C4×C22⋊C4×C107C2211yescharacteristic
181C4×C22⋊C4×C107C2211yescharacteristic, complemented
182C4×C22⋊C4×C107C2211yescharacteristic, complemented
183C4×C22⋊C4×C107C2211yescharacteristic, complemented
184#376×C107C2211yescharacteristic, complemented
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C25×C107C2311yescharacteristic
188C22×D4×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C22×D4×C107C2311yescharacteristic
199C22×D4×C107C2311yescharacteristic
200C23×C4×C107—24no—
201C23×C4×C107—42no—
202C23×C4×C107—42no—
203C23×C4×C107C2311yescharacteristic
204C23×C4×C107C2311yescharacteristic
205C23×C4×C107C2311yescharacteristic
206C23×C4×C107C2311yescharacteristic
207C23×C4×C107C2311yescharacteristic
208C23×C4×C107C2311yescharacteristic
209C23×C4×C107C2311yescharacteristic
210C23×C4×C107C2311yescharacteristic
211C23×C4×C107C2311yescharacteristic
212C23×C4×C107C2311yescharacteristic
213C23×C4×C107C2311yescharacteristic
214C23×C4×C107C2311yescharacteristic
215C23×C4×C107C2311yescharacteristic
216#123×C107—24no—
217#123×C107—24no—
218#123×C107—42no—
219#123×C107—42no—
220#123×C107—42no—
221#123×C107—42no—
222#121×C107—24no—
223#121×C107—24no—
224#121×C107—24no—
225#121×C107—42no—
226#121×C107—42no—
227#121×C107—42no—
228#120×C107—42no—
229#120×C107—42no—
230#120×C107—42no—
231C4×D4×C107—24no—
232C4×D4×C107—42no—
233C4×D4×C107—42no—
234C4×D4×C107—42no—
235#117×C107—42no—
236C2×C4⋊C4×C107C2311yescharacteristic
237C2×C4⋊C4×C107C2311yescharacteristic
238C2×C4⋊C4×C107C2311yescharacteristic
239C2×C4⋊C4×C107C2311yescharacteristic
240C2×C4⋊C4×C107C2311yescharacteristic
241C2×C4⋊C4×C107C2311yescharacteristic
242C2×C4⋊C4×C107C2311yescharacteristic
243C2×C4⋊C4×C107C2311yescharacteristic
244C2×C4⋊C4×C107C2311yescharacteristic
245C2×C4⋊C4×C107C2311yescharacteristic
246C2×C4⋊C4×C107C2311yescharacteristic
247C2×C4⋊C4×C107C2311yescharacteristic
248C2×C4⋊C4×C107C2311yescharacteristic
249C2×C4⋊C4×C107C2311yescharacteristic
250C2×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C4⋊C4×C107C2311yescharacteristic
253C2×C4⋊C4×C107C2311yescharacteristic
254C2×C4⋊C4×C107C2311yescharacteristic
255C2×C4⋊C4×C107C2311yescharacteristic
256C2×C4⋊C4×C107C2311yescharacteristic
257C2×C4⋊C4×C107C2311yescharacteristic
258C2×C4⋊C4×C107C2311yescharacteristic
259C2×C4⋊C4×C107C2311yescharacteristic
260C2×C4⋊C4×C107C2311yescharacteristic
261C2×C4⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107—24no—
263C2×C22⋊C4×C107—24no—
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C22⋊C4×C107C2311yescharacteristic
305C2×C22⋊C4×C107C2311yescharacteristic
306C2×C22⋊C4×C107C2311yescharacteristic
307C2×C22⋊C4×C107C2311yescharacteristic
308C2×C22⋊C4×C107C2311yescharacteristic
309C2×C22⋊C4×C107C2311yescharacteristic
310C2×C22⋊C4×C107C2311yescharacteristic
311C2×C22⋊C4×C107C2311yescharacteristic
312C2×C22⋊C4×C107C2311yescharacteristic
313C2×C22⋊C4×C107C2311yescharacteristic
314C2×C42×C107—42no—
315C2×C42×C107—42no—
316C2×C42×C107C2311yescharacteristic
317C2×C42×C107C2311yescharacteristic
318C2×C42×C107C2311yescharacteristic
319C2×C42×C107C2311yescharacteristic
320C2×C42×C107C2311yescharacteristic
321C2×C42×C107C2311yescharacteristic
322C2×C42×C107C2311yescharacteristic
323C2×C42×C107C2311yescharacteristic
324C2×C42×C107C2311yescharacteristic
325C2×C42×C107C2311yescharacteristic
326C2×C42×C107C2311yescharacteristic
327C2×C42×C107C2311yescharacteristic
328C2×C42×C107C2311yescharacteristic
329#95×C107C2311yescharacteristic
330#95×C107C2311yescharacteristic
331#95×C107C2311yescharacteristic
332#95×C107C2311yescharacteristic
333#95×C107C2311yescharacteristic
334#95×C107C2311yescharacteristic
335#95×C107C2311yescharacteristic
336#95×C107C2311yescharacteristic
337#95×C107C2311yescharacteristic
338#95×C107C2311yescharacteristic
339#95×C107C2311yescharacteristic
340#95×C107C2311yescharacteristic
341#95×C107C2311yescharacteristic
342#95×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363#95×C107C2311yescharacteristic
364#95×C107C2311yescharacteristic
365#95×C107C2311yescharacteristic
366#95×C107C2311yescharacteristic
367#95×C107C2311yescharacteristic
368#95×C107C2311yescharacteristic
369C24×C107—22no—
370C24×C107—22no—
371C24×C107—22no—
372C24×C107—22no—
373C24×C107—22no—
374C24×C107—41no—
375C24×C107—41no—
376C24×C107C2411yescharacteristic
377C24×C107C2411yescharacteristic
378C24×C107C2411yescharacteristic
379C24×C107C2411yescharacteristic
380C24×C107C2411yescharacteristic
381C24×C107C2411yescharacteristic
382C2×D4×C107—22no—
383C2×D4×C107—22no—
384C2×D4×C107—22no—
385C2×D4×C107—22no—
386C2×D4×C107—22no—
387C2×D4×C107—22no—
388C2×D4×C107—22no—
389C2×D4×C107—22no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—22no—
393C2×D4×C107—22no—
394C2×D4×C107—22no—
395C2×D4×C107—22no—
396C2×D4×C107—22no—
397C2×D4×C107—22no—
398C2×D4×C107—22no—
399C2×D4×C107—22no—
400C2×D4×C107—41no—
401C2×D4×C107—41no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107—41no—
405C2×D4×C107—41no—
406C2×D4×C107—41no—
407C2×D4×C107—41no—
408C2×D4×C107—41no—
409C2×D4×C107—41no—
410C2×D4×C107—41no—
411C2×D4×C107—41no—
412C2×D4×C107—41no—
413C2×D4×C107—41no—
414C2×D4×C107—41no—
415C2×D4×C107—41no—
416C2×D4×C107—41no—
417C2×D4×C107—41no—
418C22×C4×C107—22no—
419C22×C4×C107—22no—
420C22×C4×C107—22no—
421C22×C4×C107—22no—
422C22×C4×C107—22no—
423C22×C4×C107—22no—
424C22×C4×C107—22no—
425C22×C4×C107—22no—
426C22×C4×C107—22no—
427C22×C4×C107—22no—
428C22×C4×C107—22no—
429C22×C4×C107—22no—
430C22×C4×C107—22no—
431C22×C4×C107—22no—
432C22×C4×C107—22no—
433C22×C4×C107—22no—
434C22×C4×C107—22no—
435C22×C4×C107—22no—
436C22×C4×C107—22no—
437C22×C4×C107—22no—
438C22×C4×C107—41no—
439C22×C4×C107—41no—
440C22×C4×C107—41no—
441C22×C4×C107—41no—
442C22×C4×C107—41no—
443C22×C4×C107—41no—
444C22×C4×C107—41no—
445C22×C4×C107—41no—
446C22×C4×C107—41no—
447C22×C4×C107—41no—
448C22×C4×C107—41no—
449C22×C4×C107—41no—
450C22×C4×C107—41no—
451C22×C4×C107—41no—
452C22×C4×C107—41no—
453C22×C4×C107—41no—
454C22×C4×C107—41no—
455C22×C4×C107—416no—
456C22×C4×C107#4114yes—
457C22×C4×C107#4114yes—
458C22×C4×C107C2411yescharacteristic
459C22×C4×C107C2411yescharacteristic
460C22×C4×C107C2411yescharacteristic
461C22×C4×C107C2411yescharacteristic
462C22×C4×C107C2411yescharacteristic
463C22×C4×C107C2411yescharacteristic
464C22×C4×C107C2411yescharacteristic
465C22×C4×C107C2411yescharacteristic
466C22×C4×C107C2411yescharacteristic
467C22×C4×C107C2411yescharacteristic
468C22×C4×C107C2411yescharacteristic
469C22×C4×C107C2411yescharacteristic
470C22×C4×C107C2411yescharacteristic
471C22×C4×C107C2411yescharacteristic
472C22×C4×C107C2411yescharacteristic
473C22×C4×C107C2411yescharacteristic
474C22×C4×C107C2411yescharacteristic
475C22×C4×C107C2411yescharacteristic
476C22×C4×C107C2411yescharacteristic
477C22×C4×C107C2411yescharacteristic
478C22×C4×C107C2411yescharacteristic
479C22×C4×C107C2411yescharacteristic
480C22×C4×C107C2411yescharacteristic
481C22×C4×C107C2411yescharacteristic
482C22×C4×C107C2411yescharacteristic
483C4⋊C4×C107—22no—
484C4⋊C4×C107—22no—
485C4⋊C4×C107—22no—
486C4⋊C4×C107—22no—
487C4⋊C4×C107—22no—
488C4⋊C4×C107—22no—
489C4⋊C4×C107—22no—
490C4⋊C4×C107—22no—
491C4⋊C4×C107—22no—
492C4⋊C4×C107—41no—
493C4⋊C4×C107—41no—
494C4⋊C4×C107—41no—
495C4⋊C4×C107—41no—
496C4⋊C4×C107—41no—
497C4⋊C4×C107—41no—
498C4⋊C4×C107—41no—
499C4⋊C4×C107—41no—
500C4⋊C4×C107—41no—
501C4⋊C4×C107—41no—
502C4⋊C4×C107—41no—
503C4⋊C4×C107—41no—
504C4⋊C4×C107—41no—
505C4⋊C4×C107—41no—
506C4⋊C4×C107—41no—
507C4⋊C4×C107—41no—
508C4⋊C4×C107—41no—
509C22⋊C4×C107—22no—
510C22⋊C4×C107—22no—
511C22⋊C4×C107—22no—
512C22⋊C4×C107—22no—
513C22⋊C4×C107—22no—
514C22⋊C4×C107—22no—
515C22⋊C4×C107—22no—
516C22⋊C4×C107—22no—
517C22⋊C4×C107—22no—
518C22⋊C4×C107—22no—
519C22⋊C4×C107—22no—
520C22⋊C4×C107—22no—
521C22⋊C4×C107—22no—
522C22⋊C4×C107—22no—
523C22⋊C4×C107—22no—
524C22⋊C4×C107—22no—
525C22⋊C4×C107—22no—
526C22⋊C4×C107—22no—
527C22⋊C4×C107—22no—
528C22⋊C4×C107—22no—
529C22⋊C4×C107—22no—
530C22⋊C4×C107—22no—
531C22⋊C4×C107—22no—
532C22⋊C4×C107—22no—
533C22⋊C4×C107—22no—
534C22⋊C4×C107—22no—
535C22⋊C4×C107—41no—
536C22⋊C4×C107—41no—
537C22⋊C4×C107—41no—
538C22⋊C4×C107—41no—
539C22⋊C4×C107—41no—
540C22⋊C4×C107—41no—
541C22⋊C4×C107—41no—
542C22⋊C4×C107—41no—
543C22⋊C4×C107—41no—
544C22⋊C4×C107—41no—
545C22⋊C4×C107—41no—
546C22⋊C4×C107—41no—
547C22⋊C4×C107—41no—
548C22⋊C4×C107—41no—
549C22⋊C4×C107—41no—
550C22⋊C4×C107—41no—
551C22⋊C4×C107—41no—
552C22⋊C4×C107—41no—
553C22⋊C4×C107—41no—
554C22⋊C4×C107—41no—
555C22⋊C4×C107—41no—
556C22⋊C4×C107—41no—
557C22⋊C4×C107—41no—
558C22⋊C4×C107#4114yes—
559C42×C107—22no—
560C42×C107—22no—
561C42×C107—22no—
562C42×C107—41no—
563C42×C107—41no—
564C42×C107—41no—
565C42×C107—41no—
566C42×C107—41no—
567C42×C107—41no—
568C42×C107—41no—
569C42×C107—41no—
570C42×C107—41no—
571C42×C107—41no—
572C23×C107—21no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—28no—
577C23×C107—21no—
578C23×C107—21no—
579C23×C107—21no—
580C23×C107—21no—
581C23×C107—21no—
582C23×C107—21no—
583C23×C107—21no—
584C23×C107—21no—
585C23×C107—21no—
586C23×C107—21no—
587C23×C107—21no—
588C23×C107—21no—
589C23×C107—21no—
590C23×C107—21no—
591C23×C107—21no—
592C23×C107—21no—
593C23×C107—21no—
594C23×C107—21no—
595C23×C107—21no—
596C23×C107—21no—
597C23×C107—21no—
598C23×C107—21no—
599C23×C107—21no—
600C23×C107—21no—
601C23×C107—21no—
602C23×C107—21no—
603C23×C107—21no—
604C23×C107—21no—
605C23×C107—21no—
606C23×C107—21no—
607C23×C107—21no—
608C23×C107—21no—
609C23×C107—21no—
610C23×C107—44no—
611C23×C107—44no—
612C23×C107—44no—
613C23×C107—44no—
614C23×C107—44no—
615C23×C107—44no—
616C23×C107C2×#4112yes—
617C23×C107C2×#4112yes—
618C23×C107C2×#4112yes—
619C23×C107H(5,𝔽2)12yes—
620C23×C107H(5,𝔽2)12yes—
621C23×C107C2511yescharacteristic
622D4×C107—44no—
623D4×C107—44no—
624D4×C107—44no—
625D4×C107—44no—
626D4×C107—82no—
627D4×C107—82no—
628D4×C107—82no—
629D4×C107—82no—
630D4×C107—82no—
631D4×C107—82no—
632D4×C107—82no—
633D4×C107—82no—
634C2×C4×C107—28no—
635C2×C4×C107—21no—
636C2×C4×C107—21no—
637C2×C4×C107—21no—
638C2×C4×C107—21no—
639C2×C4×C107—21no—
640C2×C4×C107—21no—
641C2×C4×C107—21no—
642C2×C4×C107—21no—
643C2×C4×C107—21no—
644C2×C4×C107—21no—
645C2×C4×C107—21no—
646C2×C4×C107—21no—
647C2×C4×C107—21no—
648C2×C4×C107—21no—
649C2×C4×C107—21no—
650C2×C4×C107—21no—
651C2×C4×C107—21no—
652C2×C4×C107—21no—
653C2×C4×C107—21no—
654C2×C4×C107—21no—
655C2×C4×C107—21no—
656C2×C4×C107—21no—
657C2×C4×C107—21no—
658C2×C4×C107—21no—
659C2×C4×C107—21no—
660C2×C4×C107—21no—
661C2×C4×C107—21no—
662C2×C4×C107—21no—
663C2×C4×C107—21no—
664C2×C4×C107—21no—
665C2×C4×C107—21no—
666C2×C4×C107—21no—
667C2×C4×C107—21no—
668C2×C4×C107—21no—
669C2×C4×C107—21no—
670C2×C4×C107—21no—
671C2×C4×C107—21no—
672C2×C4×C107—21no—
673C2×C4×C107—21no—
674C2×C4×C107—21no—
675C2×C4×C107—21no—
676C2×C4×C107—21no—
677C2×C4×C107—21no—
678C2×C4×C107—21no—
679C2×C4×C107—21no—
680C2×C4×C107—21no—
681C2×C4×C107—21no—
682C2×C4×C107—21no—
683C2×C4×C107—21no—
684C2×C4×C107—21no—
685C2×C4×C107—21no—
686C2×C4×C107—21no—
687C2×C4×C107—21no—
688C2×C4×C107—21no—
689C2×C4×C107—21no—
690C2×C4×C107—21no—
691C2×C4×C107—21no—
692C2×C4×C107—21no—
693C2×C4×C107—21no—
694C2×C4×C107—21no—
695C2×C4×C107—21no—
696C2×C4×C107—21no—
697C2×C4×C107—21no—
698C2×C4×C107—21no—
699C2×C4×C107—21no—
700C2×C4×C107—21no—
701C2×C4×C107—21no—
702C2×C4×C107—21no—
703C2×C4×C107—44no—
704C2×C4×C107—44no—
705C2×C4×C107—44no—
706C2×C4×C107—44no—
707C2×C4×C107—44no—
708C2×C4×C107—44no—
709C2×C4×C107—44no—
710C2×C4×C107—44no—
711C2×C4×C107—44no—
712C2×C4×C107—44no—
713C2×C4×C107—82no—
714C2×C4×C107—82no—
715C2×C4×C107C2×#4112yes—
716C2×C4×C107C2×#4112yes—
717C2×C4×C107C2×#4112yes—
718C2×C4×C107C2×#4112yes—
719C2×C4×C107C2×#4112yes—
720C2×C4×C107C2×#4112yes—
721C2×C4×C107H(5,𝔽2)12yes—
722C22×C107—22no—
723C22×C107—22no—
724C22×C107—22no—
725C22×C107—22no—
726C22×C107—22no—
727C22×C107—22no—
728C22×C107—22no—
729C22×C107—22no—
730C22×C107—22no—
731C22×C107—22no—
732C22×C107—22no—
733C22×C107—22no—
734C22×C107—416no—
735C22×C107—41no—
736C22×C107—41no—
737C22×C107—41no—
738C22×C107—41no—
739C22×C107—41no—
740C22×C107—41no—
741C22×C107—41no—
742C22×C107—41no—
743C22×C107—41no—
744C22×C107—41no—
745C22×C107—41no—
746C22×C107—41no—
747C22×C107—41no—
748C22×C107—41no—
749C22×C107—41no—
750C22×C107—41no—
751C22×C107—41no—
752C22×C107—41no—
753C22×C107—41no—
754C22×C107—41no—
755C22×C107—41no—
756C22×C107—41no—
757C22×C107—41no—
758C22×C107—41no—
759C22×C107—41no—
760C22×C107—41no—
761C22×C107—41no—
762C22×C107—41no—
763C22×C107—41no—
764C22×C107#54014yes—
765C22×C107C22×#4111yescharacteristic
766C22×C107C22×#4111yescharacteristic
767C22×C107C22×#4111yescharacteristic
768C22×C107C2×H(5,𝔽2)11yescharacteristic
769C22×C107C2×H(5,𝔽2)11yescharacteristic
770C22×C107C2×H(5,𝔽2)11yescharacteristic
771C22×C107#58511yescharacteristic
772C4×C107—22no—
773C4×C107—22no—
774C4×C107—22no—
775C4×C107—22no—
776C4×C107—22no—
777C4×C107—22no—
778C4×C107—22no—
779C4×C107—41no—
780C4×C107—41no—
781C4×C107—41no—
782C4×C107—41no—
783C4×C107—41no—
784C4×C107—41no—
785C4×C107—41no—
786C4×C107—41no—
787C4×C107—41no—
788C4×C107—41no—
789C4×C107—41no—
790C4×C107—41no—
791C4×C107—41no—
792C4×C107—41no—
793C4×C107—41no—
794C4×C107—41no—
795C4×C107—41no—
796C4×C107—41no—
797#35056C10711yesmaximal, characteristic, direct product factor, Sylow
798C2×C107—24no—
799C2×C107—42no—
800C2×C107—42no—
801C2×C107—81no—
802C2×C107—81no—
803C2×C107—81no—
804C2×C107#344411yescharacteristic
805C2×C107C2×#54011yescharacteristic
806C2×C107#345911yescharacteristic
807C2×C107#349011yescharacteristic
808C2×C107#349411yescharacteristic
809C2×C107#351311yescharacteristic
810C2×C107#351911yescharacteristic
811#2854C2×C10711yescharacteristic, complemented
812#2853C2×C10711yescharacteristic, complemented
813#2849C2×C10711yescharacteristic, complemented
814#2847C2×C10711yescharacteristic, complemented
815#2667C2×C10711yescharacteristic, complemented
816#2661C2×C10711yescharacteristic, complemented
817#2649C2×C10711yescharacteristic, complemented
818#2648C2×C10711yescharacteristic, complemented
819#2569C2×C10711yescharacteristic, complemented
820#2543C2×C10711yescharacteristic, complemented
821#2539C2×C10711yescharacteristic, complemented
822#2534C2×C10711yescharacteristic, complemented
823#2531C2×C10711yescharacteristic, complemented
824#2526C2×C10711yescharacteristic, complemented
825#2522C2×C10711yescharacteristic, complemented
826#2516C2×C10711yescharacteristic, complemented
827#2476C2×C10711yescharacteristic, complemented
828#2471C2×C10711yescharacteristic, complemented
829#2464C2×C10711yescharacteristic, complemented
830#2457C2×C10711yescharacteristic, complemented
831#2425C2×C10711yescharacteristic, complemented
832#2424C2×C10711yescharacteristic, complemented
833#2419C2×C10711yescharacteristic, complemented
834#2418C2×C10711yescharacteristic, complemented
835#2335C2×C10711yescharacteristic, complemented
836#2335C2×C10711yescharacteristic, complemented
837#2333C2×C10711yescharacteristic, complemented
838#2333C2×C10711yescharacteristic, complemented
839C4×#121C2×C10711yescharacteristic, complemented
840#2290C2×C10711yescharacteristic, complemented
841C2×C4×C22⋊C4C2×C10711yescharacteristic, complemented
842C107#3505611yescharacteristic, direct product factor, Sylow
843C24×C4C22×C10711yescharacteristic
844C2×#123C22×C10711yescharacteristic
845C2×#123C22×C10711yescharacteristic
846C2×#123C22×C10711yescharacteristic
847C2×#123C22×C10711yescharacteristic
848C2×#123C22×C10711yescharacteristic
849C2×#123C22×C10711yescharacteristic
850C2×#121C22×C10711yescharacteristic
851C2×#121C22×C10711yescharacteristic
852C2×#121C22×C10711yescharacteristic
853C2×#121C22×C10711yescharacteristic
854C2×#121C22×C10711yescharacteristic
855C2×#121C22×C10711yescharacteristic
856C2×#120C22×C10711yescharacteristic
857C2×#120C22×C10711yescharacteristic
858C2×#120C22×C10711yescharacteristic
859C2×C4×D4C22×C10711yescharacteristic
860C2×C4×D4C22×C10711yescharacteristic
861C2×C4×D4C22×C10711yescharacteristic
862C2×C4×D4C22×C10711yescharacteristic, complemented
863C2×#117C22×C10711yescharacteristic, complemented
864C22×C22⋊C4C22×C10711yescharacteristic
865C22×C22⋊C4C22×C10711yescharacteristic
866C22×C42C22×C10711yescharacteristic
867C22×C42C22×C10711yescharacteristic
868#400C22×C10711yescharacteristic, complemented
869#400C22×C10711yescharacteristic, complemented
870#400C22×C10711yescharacteristic, complemented
871#399C22×C10711yescharacteristic
872#399C22×C10711yescharacteristic
873#399C22×C10711yescharacteristic
874#398C22×C10711yescharacteristic, complemented
875#398C22×C10711yescharacteristic, complemented
876#398C22×C10711yescharacteristic, complemented
877#398C22×C10711yescharacteristic, complemented
878#398C22×C10711yescharacteristic, complemented
879#397C22×C10711yescharacteristic
880#397C22×C10711yescharacteristic, complemented
881#397C22×C10711yescharacteristic, complemented
882#397C22×C10711yescharacteristic, complemented
883#397C22×C10711yescharacteristic, complemented
884#396C22×C10711yescharacteristic
885#396C22×C10711yescharacteristic
886#396C22×C10711yescharacteristic
887#396C22×C10711yescharacteristic, complemented
888#394C22×C10711yescharacteristic
889#394C22×C10711yescharacteristic
890#394C22×C10711yescharacteristic
891#394C22×C10711yescharacteristic
892#394C22×C10711yescharacteristic
893#394C22×C10711yescharacteristic
894#394C22×C10711yescharacteristic, complemented
895#394C22×C10711yescharacteristic, complemented
896#392C22×C10711yescharacteristic
897#392C22×C10711yescharacteristic
898#392C22×C10711yescharacteristic
899#392C22×C10711yescharacteristic, complemented
900#390C22×C10711yescharacteristic
901#390C22×C10711yescharacteristic
902#390C22×C10711yescharacteristic
903#390C22×C10711yescharacteristic
904#390C22×C10711yescharacteristic
905#390C22×C10711yescharacteristic, complemented
906#390C22×C10711yescharacteristic, complemented
907#390C22×C10711yescharacteristic, complemented
908#389C22×C10711yescharacteristic, complemented
909#389C22×C10711yescharacteristic, complemented
910#389C22×C10711yescharacteristic, complemented
911#389C22×C10711yescharacteristic, complemented
912#388C22×C10711yescharacteristic
913#388C22×C10711yescharacteristic
914#388C22×C10711yescharacteristic
915#388C22×C10711yescharacteristic
916#388C22×C10711yescharacteristic
917#388C22×C10711yescharacteristic, complemented
918#388C22×C10711yescharacteristic, complemented
919#388C22×C10711yescharacteristic, complemented
920#388C22×C10711yescharacteristic, complemented
921#388C22×C10711yescharacteristic, complemented
922#388C22×C10711yescharacteristic, complemented
923#388C22×C10711yescharacteristic, complemented
924#388C22×C10711yescharacteristic, complemented
925#388C22×C10711yescharacteristic, complemented
926#388C22×C10711yescharacteristic, complemented
927#388C22×C10711yescharacteristic, complemented
928#388C22×C10711yescharacteristic, complemented
929#388C22×C10711yescharacteristic, complemented
930#388C22×C10711yescharacteristic, complemented
931#388C22×C10711yescharacteristic, complemented
932#387C22×C10711yescharacteristic, complemented
933#387C22×C10711yescharacteristic, complemented
934#387C22×C10711yescharacteristic, complemented
935#387C22×C10711yescharacteristic, complemented
936#387C22×C10711yescharacteristic, complemented
937#387C22×C10711yescharacteristic, complemented
938#387C22×C10711yescharacteristic, complemented
939#387C22×C10711yescharacteristic, complemented
940#387C22×C10711yescharacteristic, complemented
941#387C22×C10711yescharacteristic, complemented
942#387C22×C10711yescharacteristic, complemented
943#387C22×C10711yescharacteristic, complemented
944#386C22×C10711yescharacteristic
945#386C22×C10711yescharacteristic
946#386C22×C10711yescharacteristic
947#386C22×C10711yescharacteristic
948#386C22×C10711yescharacteristic
949#386C22×C10711yescharacteristic
950#386C22×C10711yescharacteristic
951#386C22×C10711yescharacteristic
952#386C22×C10711yescharacteristic
953#386C22×C10711yescharacteristic
954#386C22×C10711yescharacteristic
955#386C22×C10711yescharacteristic
956#386C22×C10711yescharacteristic
957#386C22×C10711yescharacteristic
958#386C22×C10711yescharacteristic
959#386C22×C10711yescharacteristic
960#386C22×C10711yescharacteristic, complemented
961#386C22×C10711yescharacteristic, complemented
962#386C22×C10711yescharacteristic, complemented
963#385C22×C10711yescharacteristic
964#385C22×C10711yescharacteristic
965#385C22×C10711yescharacteristic
966#385C22×C10711yescharacteristic
967#385C22×C10711yescharacteristic
968#385C22×C10711yescharacteristic
969#385C22×C10711yescharacteristic, complemented
970#381C22×C10711yescharacteristic
971#381C22×C10711yescharacteristic
972#381C22×C10711yescharacteristic
973#381C22×C10711yescharacteristic, complemented
974#380C22×C10711yescharacteristic
975#380C22×C10711yescharacteristic
976#380C22×C10711yescharacteristic
977#380C22×C10711yescharacteristic
978#380C22×C10711yescharacteristic
979#380C22×C10711yescharacteristic, complemented
980#379C22×C10711yescharacteristic
981C4×C4⋊C4C22×C10711yescharacteristic, complemented
982C4×C4⋊C4C22×C10711yescharacteristic, complemented
983C4×C22⋊C4C22×C10711yescharacteristic
984C4×C22⋊C4C22×C10711yescharacteristic
985C4×C22⋊C4C22×C10711yescharacteristic
986C4×C22⋊C4C22×C10711yescharacteristic
987C4×C22⋊C4C22×C10711yescharacteristic
988C4×C22⋊C4C22×C10711yescharacteristic
989C4×C22⋊C4C22×C10711yescharacteristic
990C4×C22⋊C4C22×C10711yescharacteristic
991C4×C22⋊C4C22×C10711yescharacteristic
992C4×C22⋊C4C22×C10711yescharacteristic, complemented
993C4×C22⋊C4C22×C10711yescharacteristic, complemented
994C4×C22⋊C4C22×C10711yescharacteristic, complemented
995#376C22×C10711yescharacteristic, complemented
996C2×#95C22×C10711yescharacteristic
997C2×#95C22×C10711yescharacteristic
998C25C23×C10711yescharacteristic
999C22×D4C23×C10711yescharacteristic
1000C22×D4C23×C10711yescharacteristic
1001C22×D4C23×C10711yescharacteristic
1002C22×D4C23×C10711yescharacteristic
1003C22×D4C23×C10711yescharacteristic
1004C22×D4C23×C10711yescharacteristic
1005C22×D4C23×C10711yescharacteristic
1006C22×D4C23×C10711yescharacteristic
1007C22×D4C23×C10711yescharacteristic
1008C22×D4C23×C10711yescharacteristic
1009C22×D4C23×C10711yescharacteristic
1010C22×D4C23×C10711yescharacteristic
1011C23×C4—24no—
1012C23×C4—42no—
1013C23×C4—42no—
1014C23×C4C23×C10711yescharacteristic
1015C23×C4C23×C10711yescharacteristic
1016C23×C4C23×C10711yescharacteristic
1017C23×C4C23×C10711yescharacteristic
1018C23×C4C23×C10711yescharacteristic
1019C23×C4C23×C10711yescharacteristic
1020C23×C4C23×C10711yescharacteristic
1021C23×C4C23×C10711yescharacteristic
1022C23×C4C23×C10711yescharacteristic
1023C23×C4C23×C10711yescharacteristic
1024C23×C4C23×C10711yescharacteristic
1025C23×C4C23×C10711yescharacteristic
1026C23×C4C23×C10711yescharacteristic
1027#123—24no—
1028#123—24no—
1029#123—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—42no—
1037#121—42no—
1038#121—42no—
1039#120—42no—
1040#120—42no—
1041#120—42no—
1042C4×D4—24no—
1043C4×D4—42no—
1044C4×D4—42no—
1045C4×D4—42no—
1046#117—42no—
1047C2×C4⋊C4C23×C10711yescharacteristic
1048C2×C4⋊C4C23×C10711yescharacteristic
1049C2×C4⋊C4C23×C10711yescharacteristic
1050C2×C4⋊C4C23×C10711yescharacteristic
1051C2×C4⋊C4C23×C10711yescharacteristic
1052C2×C4⋊C4C23×C10711yescharacteristic
1053C2×C4⋊C4C23×C10711yescharacteristic
1054C2×C4⋊C4C23×C10711yescharacteristic
1055C2×C4⋊C4C23×C10711yescharacteristic
1056C2×C4⋊C4C23×C10711yescharacteristic
1057C2×C4⋊C4C23×C10711yescharacteristic
1058C2×C4⋊C4C23×C10711yescharacteristic
1059C2×C4⋊C4C23×C10711yescharacteristic
1060C2×C4⋊C4C23×C10711yescharacteristic
1061C2×C4⋊C4C23×C10711yescharacteristic
1062C2×C4⋊C4C23×C10711yescharacteristic
1063C2×C4⋊C4C23×C10711yescharacteristic
1064C2×C4⋊C4C23×C10711yescharacteristic
1065C2×C4⋊C4C23×C10711yescharacteristic
1066C2×C4⋊C4C23×C10711yescharacteristic
1067C2×C4⋊C4C23×C10711yescharacteristic
1068C2×C4⋊C4C23×C10711yescharacteristic
1069C2×C4⋊C4C23×C10711yescharacteristic
1070C2×C4⋊C4C23×C10711yescharacteristic
1071C2×C4⋊C4C23×C10711yescharacteristic
1072C2×C4⋊C4C23×C10711yescharacteristic
1073C2×C22⋊C4—24no—
1074C2×C22⋊C4—24no—
1075C2×C22⋊C4C23×C10711yescharacteristic
1076C2×C22⋊C4C23×C10711yescharacteristic
1077C2×C22⋊C4C23×C10711yescharacteristic
1078C2×C22⋊C4C23×C10711yescharacteristic
1079C2×C22⋊C4C23×C10711yescharacteristic
1080C2×C22⋊C4C23×C10711yescharacteristic
1081C2×C22⋊C4C23×C10711yescharacteristic
1082C2×C22⋊C4C23×C10711yescharacteristic
1083C2×C22⋊C4C23×C10711yescharacteristic
1084C2×C22⋊C4C23×C10711yescharacteristic
1085C2×C22⋊C4C23×C10711yescharacteristic
1086C2×C22⋊C4C23×C10711yescharacteristic
1087C2×C22⋊C4C23×C10711yescharacteristic
1088C2×C22⋊C4C23×C10711yescharacteristic
1089C2×C22⋊C4C23×C10711yescharacteristic
1090C2×C22⋊C4C23×C10711yescharacteristic
1091C2×C22⋊C4C23×C10711yescharacteristic
1092C2×C22⋊C4C23×C10711yescharacteristic
1093C2×C22⋊C4C23×C10711yescharacteristic
1094C2×C22⋊C4C23×C10711yescharacteristic
1095C2×C22⋊C4C23×C10711yescharacteristic
1096C2×C22⋊C4C23×C10711yescharacteristic
1097C2×C22⋊C4C23×C10711yescharacteristic
1098C2×C22⋊C4C23×C10711yescharacteristic
1099C2×C22⋊C4C23×C10711yescharacteristic
1100C2×C22⋊C4C23×C10711yescharacteristic
1101C2×C22⋊C4C23×C10711yescharacteristic
1102C2×C22⋊C4C23×C10711yescharacteristic
1103C2×C22⋊C4C23×C10711yescharacteristic
1104C2×C22⋊C4C23×C10711yescharacteristic
1105C2×C22⋊C4C23×C10711yescharacteristic
1106C2×C22⋊C4C23×C10711yescharacteristic
1107C2×C22⋊C4C23×C10711yescharacteristic
1108C2×C22⋊C4C23×C10711yescharacteristic
1109C2×C22⋊C4C23×C10711yescharacteristic
1110C2×C22⋊C4C23×C10711yescharacteristic
1111C2×C22⋊C4C23×C10711yescharacteristic
1112C2×C22⋊C4C23×C10711yescharacteristic
1113C2×C22⋊C4C23×C10711yescharacteristic
1114C2×C22⋊C4C23×C10711yescharacteristic
1115C2×C22⋊C4C23×C10711yescharacteristic
1116C2×C22⋊C4C23×C10711yescharacteristic
1117C2×C22⋊C4C23×C10711yescharacteristic
1118C2×C22⋊C4C23×C10711yescharacteristic
1119C2×C22⋊C4C23×C10711yescharacteristic
1120C2×C22⋊C4C23×C10711yescharacteristic
1121C2×C22⋊C4C23×C10711yescharacteristic
1122C2×C22⋊C4C23×C10711yescharacteristic
1123C2×C22⋊C4C23×C10711yescharacteristic
1124C2×C22⋊C4C23×C10711yescharacteristic
1125C2×C42—42no—
1126C2×C42—42no—
1127C2×C42C23×C10711yescharacteristic
1128C2×C42C23×C10711yescharacteristic
1129C2×C42C23×C10711yescharacteristic
1130C2×C42C23×C10711yescharacteristic
1131C2×C42C23×C10711yescharacteristic
1132C2×C42C23×C10711yescharacteristic
1133C2×C42C23×C10711yescharacteristic
1134C2×C42C23×C10711yescharacteristic
1135C2×C42C23×C10711yescharacteristic
1136C2×C42C23×C10711yescharacteristic
1137C2×C42C23×C10711yescharacteristic
1138C2×C42C23×C10711yescharacteristic
1139C2×C42C23×C10711yescharacteristic
1140#95C23×C10711yescharacteristic
1141#95C23×C10711yescharacteristic
1142#95C23×C10711yescharacteristic
1143#95C23×C10711yescharacteristic
1144#95C23×C10711yescharacteristic
1145#95C23×C10711yescharacteristic
1146#95C23×C10711yescharacteristic
1147#95C23×C10711yescharacteristic
1148#95C23×C10711yescharacteristic
1149#95C23×C10711yescharacteristic
1150#95C23×C10711yescharacteristic
1151#95C23×C10711yescharacteristic
1152#95C23×C10711yescharacteristic
1153#95C23×C10711yescharacteristic
1154#95C23×C10711yescharacteristic
1155#95C23×C10711yescharacteristic
1156#95C23×C10711yescharacteristic
1157#95C23×C10711yescharacteristic
1158#95C23×C10711yescharacteristic
1159#95C23×C10711yescharacteristic
1160#95C23×C10711yescharacteristic
1161#95C23×C10711yescharacteristic
1162#95C23×C10711yescharacteristic
1163#95C23×C10711yescharacteristic
1164#95C23×C10711yescharacteristic
1165#95C23×C10711yescharacteristic
1166#95C23×C10711yescharacteristic
1167#95C23×C10711yescharacteristic
1168#95C23×C10711yescharacteristic
1169#95C23×C10711yescharacteristic
1170#95C23×C10711yescharacteristic
1171#95C23×C10711yescharacteristic
1172#95C23×C10711yescharacteristic
1173#95C23×C10711yescharacteristic
1174#95C23×C10711yescharacteristic
1175#95C23×C10711yescharacteristic
1176#95C23×C10711yescharacteristic
1177#95C23×C10711yescharacteristic
1178#95C23×C10711yescharacteristic
1179#95C23×C10711yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—22no—
1183C24—22no—
1184C24—22no—
1185C24—41no—
1186C24—41no—
1187C24C24×C10711yescharacteristic
1188C24C24×C10711yescharacteristic
1189C24C24×C10711yescharacteristic
1190C24C24×C10711yescharacteristic
1191C24C24×C10711yescharacteristic
1192C24C24×C10711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4#41×C10714yes—
1268C22×C4#41×C10714yes—
1269C22×C4C24×C10711yescharacteristic
1270C22×C4C24×C10711yescharacteristic
1271C22×C4C24×C10711yescharacteristic
1272C22×C4C24×C10711yescharacteristic
1273C22×C4C24×C10711yescharacteristic
1274C22×C4C24×C10711yescharacteristic
1275C22×C4C24×C10711yescharacteristic
1276C22×C4C24×C10711yescharacteristic
1277C22×C4C24×C10711yescharacteristic
1278C22×C4C24×C10711yescharacteristic
1279C22×C4C24×C10711yescharacteristic
1280C22×C4C24×C10711yescharacteristic
1281C22×C4C24×C10711yescharacteristic
1282C22×C4C24×C10711yescharacteristic
1283C22×C4C24×C10711yescharacteristic
1284C22×C4C24×C10711yescharacteristic
1285C22×C4C24×C10711yescharacteristic
1286C22×C4C24×C10711yescharacteristic
1287C22×C4C24×C10711yescharacteristic
1288C22×C4C24×C10711yescharacteristic
1289C22×C4C24×C10711yescharacteristic
1290C22×C4C24×C10711yescharacteristic
1291C22×C4C24×C10711yescharacteristic
1292C22×C4C24×C10711yescharacteristic
1293C22×C4C24×C10711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—22no—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4#41×C10714yes—
1370C42—22no—
1371C42—22no—
1372C42—22no—
1373C42—41no—
1374C42—41no—
1375C42—41no—
1376C42—41no—
1377C42—41no—
1378C42—41no—
1379C42—41no—
1380C42—41no—
1381C42—41no—
1382C42—41no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—28no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—44no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23C2×#41×C10712yes—
1428C23C2×#41×C10712yes—
1429C23C2×#41×C10712yes—
1430C23H(5,𝔽2)×C10712yes—
1431C23H(5,𝔽2)×C10712yes—
1432C23C25×C10711yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—44no—
1436D4—44no—
1437D4—82no—
1438D4—82no—
1439D4—82no—
1440D4—82no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445C2×C4—28no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—44no—
1515C2×C4—44no—
1516C2×C4—44no—
1517C2×C4—44no—
1518C2×C4—44no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—44no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—82no—
1525C2×C4—82no—
1526C2×C4C2×#41×C10712yes—
1527C2×C4C2×#41×C10712yes—
1528C2×C4C2×#41×C10712yes—
1529C2×C4C2×#41×C10712yes—
1530C2×C4C2×#41×C10712yes—
1531C2×C4C2×#41×C10712yes—
1532C2×C4H(5,𝔽2)×C10712yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—416no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22#540×C10714yes—
1576C22C22×#41×C10711yescharacteristic
1577C22C22×#41×C10711yescharacteristic
1578C22C22×#41×C10711yescharacteristic
1579C22C2×H(5,𝔽2)×C10711yescharacteristic
1580C22C2×H(5,𝔽2)×C10711yescharacteristic
1581C22C2×H(5,𝔽2)×C10711yescharacteristic
1582C22#585×C10711yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C2—24no—
1609C2—42no—
1610C2—42no—
1611C2—81no—
1612C2—81no—
1613C2—81no—
1614C2C107×#344411yescharacteristic
1615C2C2×#540×C10711yescharacteristic
1616C2C107×#345911yescharacteristic
1617C2C107×#349011yescharacteristic
1618C2C107×#349411yescharacteristic
1619C2C107×#351311yescharacteristic
1620C2C107×#351911yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2854C2semidirect
2. C107×#2853C2semidirect
3. C107×#2849C2semidirect
4. C107×#2847C2semidirect
5. C107×#2667C2semidirect
6. C107×#2661C2semidirect
7. C107×#2649C2semidirect
8. C107×#2648C2semidirect
9. C107×#2569C2semidirect
10. C107×#2543C2semidirect
11. C107×#2539C2semidirect
12. C107×#2534C2semidirect
13. C107×#2531C2semidirect
14. C107×#2526C2semidirect
15. C107×#2522C2semidirect
16. C107×#2516C2semidirect
17. C107×#2476C2semidirect
18. C107×#2471C2semidirect
19. C107×#2464C2semidirect
20. C107×#2457C2semidirect
21. C107×#2425C2semidirect
22. C107×#2424C2semidirect
23. C107×#2419C2semidirect
24. C107×#2418C2semidirect
25. C107×#2335C2semidirect
26. C107×#2335C2semidirect
27. C107×#2333C2semidirect
28. C107×#2333C2semidirect
29. C4×#121×C107C2semidirect
30. C107×#2290C2semidirect
31. C2×C4×C22⋊C4×C107C2semidirect
51. C2×C4×D4×C107C22semidirect
52. C2×#117×C107C22semidirect
57. #400×C107C22semidirect
58. #400×C107C22semidirect
59. #400×C107C22semidirect
63. #398×C107C22semidirect
64. #398×C107C22semidirect
65. #398×C107C22semidirect
66. #398×C107C22semidirect
67. #398×C107C22semidirect
69. #397×C107C22semidirect
70. #397×C107C22semidirect
71. #397×C107C22semidirect
72. #397×C107C22semidirect
76. #396×C107C22semidirect
83. #394×C107C22semidirect
84. #394×C107C22semidirect
88. #392×C107C22semidirect
94. #390×C107C22semidirect
95. #390×C107C22semidirect
96. #390×C107C22semidirect
97. #389×C107C22semidirect
98. #389×C107C22semidirect
99. #389×C107C22semidirect
100. #389×C107C22semidirect
106. #388×C107C22semidirect
107. #388×C107C22semidirect
108. #388×C107C22semidirect
109. #388×C107C22semidirect
110. #388×C107C22semidirect
111. #388×C107C22semidirect
112. #388×C107C22semidirect
113. #388×C107C22semidirect
114. #388×C107C22semidirect
115. #388×C107C22semidirect
116. #388×C107C22semidirect
117. #388×C107C22semidirect
118. #388×C107C22semidirect
119. #388×C107C22semidirect
120. #388×C107C22semidirect
121. #387×C107C22semidirect
122. #387×C107C22semidirect
123. #387×C107C22semidirect
124. #387×C107C22semidirect
125. #387×C107C22semidirect
126. #387×C107C22semidirect
127. #387×C107C22semidirect
128. #387×C107C22semidirect
129. #387×C107C22semidirect
130. #387×C107C22semidirect
131. #387×C107C22semidirect
132. #387×C107C22semidirect
149. #386×C107C22semidirect
150. #386×C107C22semidirect
151. #386×C107C22semidirect
158. #385×C107C22semidirect
162. #381×C107C22semidirect
168. #380×C107C22semidirect
170. C4×C4⋊C4×C107C22semidirect
171. C4×C4⋊C4×C107C22semidirect
181. C4×C22⋊C4×C107C22semidirect
182. C4×C22⋊C4×C107C22semidirect
183. C4×C22⋊C4×C107C22semidirect
184. #376×C107C22semidirect
797. #35056C107direct (N × H)
811. #2854C2×C107semidirect
812. #2853C2×C107semidirect
813. #2849C2×C107semidirect
814. #2847C2×C107semidirect
815. #2667C2×C107semidirect
816. #2661C2×C107semidirect
817. #2649C2×C107semidirect
818. #2648C2×C107semidirect
819. #2569C2×C107semidirect
820. #2543C2×C107semidirect
821. #2539C2×C107semidirect
822. #2534C2×C107semidirect
823. #2531C2×C107semidirect
824. #2526C2×C107semidirect
825. #2522C2×C107semidirect
826. #2516C2×C107semidirect
827. #2476C2×C107semidirect
828. #2471C2×C107semidirect
829. #2464C2×C107semidirect
830. #2457C2×C107semidirect
831. #2425C2×C107semidirect
832. #2424C2×C107semidirect
833. #2419C2×C107semidirect
834. #2418C2×C107semidirect
835. #2335C2×C107semidirect
836. #2335C2×C107semidirect
837. #2333C2×C107semidirect
838. #2333C2×C107semidirect
839. C4×#121C2×C107semidirect
840. #2290C2×C107semidirect
841. C2×C4×C22⋊C4C2×C107semidirect
842. C107#35056direct (N × H)
862. C2×C4×D4C22×C107semidirect
863. C2×#117C22×C107semidirect
868. #400C22×C107semidirect
869. #400C22×C107semidirect
870. #400C22×C107semidirect
874. #398C22×C107semidirect
875. #398C22×C107semidirect
876. #398C22×C107semidirect
877. #398C22×C107semidirect
878. #398C22×C107semidirect
880. #397C22×C107semidirect
881. #397C22×C107semidirect
882. #397C22×C107semidirect
883. #397C22×C107semidirect
887. #396C22×C107semidirect
894. #394C22×C107semidirect
895. #394C22×C107semidirect
899. #392C22×C107semidirect
905. #390C22×C107semidirect
906. #390C22×C107semidirect
907. #390C22×C107semidirect
908. #389C22×C107semidirect
909. #389C22×C107semidirect
910. #389C22×C107semidirect
911. #389C22×C107semidirect
917. #388C22×C107semidirect
918. #388C22×C107semidirect
919. #388C22×C107semidirect
920. #388C22×C107semidirect
921. #388C22×C107semidirect
922. #388C22×C107semidirect
923. #388C22×C107semidirect
924. #388C22×C107semidirect
925. #388C22×C107semidirect
926. #388C22×C107semidirect
927. #388C22×C107semidirect
928. #388C22×C107semidirect
929. #388C22×C107semidirect
930. #388C22×C107semidirect
931. #388C22×C107semidirect
932. #387C22×C107semidirect
933. #387C22×C107semidirect
934. #387C22×C107semidirect
935. #387C22×C107semidirect
936. #387C22×C107semidirect
937. #387C22×C107semidirect
938. #387C22×C107semidirect
939. #387C22×C107semidirect
940. #387C22×C107semidirect
941. #387C22×C107semidirect
942. #387C22×C107semidirect
943. #387C22×C107semidirect
960. #386C22×C107semidirect
961. #386C22×C107semidirect
962. #386C22×C107semidirect
969. #385C22×C107semidirect
973. #381C22×C107semidirect
979. #380C22×C107semidirect
981. C4×C4⋊C4C22×C107semidirect
982. C4×C4⋊C4C22×C107semidirect
992. C4×C22⋊C4C22×C107semidirect
993. C4×C22⋊C4C22×C107semidirect
994. C4×C22⋊C4C22×C107semidirect
995. #376C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28542
C107×#28532
C107×#28492
C107×#28472
C107×#26672
C107×#26612
C107×#26492
C107×#26482
C107×#25692
C107×#25432
C107×#25392
C107×#25342
C107×#25312
C107×#25262
C107×#25222
C107×#25162
C107×#24762
C107×#24712
C107×#24642
C107×#24572
C107×#24252
C107×#24242
C107×#24192
C107×#24182
C107×#23352
C107×#23332
C4×#121×C1072
C107×#22902
C2×C4×C22⋊C4×C1072
#35056107