Finite Group Databasebeta

← C107×#36796 #41062760

Subgroups — C107×#36796 #41062760

Order 27392.

1714 conjugacy classes of subgroups.

The subgroup lattice has 1452 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2852C211yesmaximal, characteristic, complemented
2C107×#2851C211yesmaximal, characteristic, complemented
3C107×#2808C211yesmaximal, characteristic, complemented
4C107×#2798C211yesmaximal, characteristic, complemented
5C107×#2796C211yesmaximal, characteristic, complemented
6C107×#2795C211yesmaximal, characteristic, complemented
7C107×#2793C211yesmaximal, characteristic, complemented
8C107×#2785C211yesmaximal, characteristic, complemented
9C107×#2783C211yesmaximal, characteristic, complemented
10C107×#2783C211yesmaximal, characteristic, complemented
11C107×#2781C211yesmaximal, characteristic, complemented
12C107×#2777C211yesmaximal, characteristic, complemented
13C107×#2775C211yesmaximal, characteristic, complemented
14C107×#2773C211yesmaximal, characteristic, complemented
15C107×#2727C211yesmaximal, characteristic, complemented
16C107×#2721C211yesmaximal, characteristic, complemented
17C107×#2718C211yesmaximal, characteristic, complemented
18C107×#2694C211yesmaximal, characteristic, complemented
19C107×#2626C211yesmaximal, characteristic, complemented
20C107×#2622C211yesmaximal, characteristic
21C107×#2505C211yesmaximal, characteristic, complemented
22C107×#2498C211yesmaximal, characteristic, complemented
23C107×#2482C211yesmaximal, characteristic, complemented
24C107×#2480C211yesmaximal, characteristic, complemented
25C107×#2450C211yesmaximal, characteristic, complemented
26C107×#2438C211yesmaximal, characteristic, complemented
27C107×#2418C211yesmaximal, characteristic
28C107×#2411C211yesmaximal, characteristic
29C107×#2322C211yesmaximal, characteristic, complemented
30C107×#2317C211yesmaximal, characteristic, complemented
31C2×#388×C107C211yesmaximal, characteristic, complemented
32C2×#126×C107C2211yescharacteristic
33C2×#126×C107C2211yescharacteristic, complemented
34C2×#125×C107C2211yescharacteristic, complemented
35C2×#123×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×C22⋊Q8×C107C2211yescharacteristic
38C2×#120×C107C2211yescharacteristic
39C2×C4×D4×C107C2211yescharacteristic
40C2×#117×C107C2211yescharacteristic
41C2×#117×C107C2211yescharacteristic
42C22×C4⋊C4×C107C2211yescharacteristic
43C22×C22⋊C4×C107C2211yescharacteristic
44C22×C22⋊C4×C107C2211yescharacteristic
45C22×C22⋊C4×C107C2211yescharacteristic
46C22×C42×C107C2211yescharacteristic
47#400×C107C2211yescharacteristic, complemented
48#400×C107C2211yescharacteristic, complemented
49#400×C107C2211yescharacteristic, complemented
50#400×C107C2211yescharacteristic, complemented
51#400×C107C2211yescharacteristic, complemented
52#400×C107C2211yescharacteristic, complemented
53#399×C107C2211yescharacteristic
54#399×C107C2211yescharacteristic
55#399×C107C2211yescharacteristic
56#399×C107C2211yescharacteristic
57#399×C107C2211yescharacteristic
58#399×C107C2211yescharacteristic, complemented
59#398×C107C2211yescharacteristic, complemented
60#398×C107C2211yescharacteristic, complemented
61#398×C107C2211yescharacteristic, complemented
62#398×C107C2211yescharacteristic, complemented
63#398×C107C2211yescharacteristic, complemented
64#397×C107C2211yescharacteristic
65#397×C107C2211yescharacteristic
66#397×C107C2211yescharacteristic
67#397×C107C2211yescharacteristic
68#397×C107C2211yescharacteristic
69#397×C107C2211yescharacteristic
70#397×C107C2211yescharacteristic
71#397×C107C2211yescharacteristic
72#397×C107C2211yescharacteristic
73#397×C107C2211yescharacteristic
74#397×C107C2211yescharacteristic, complemented
75#396×C107C2211yescharacteristic
76#396×C107C2211yescharacteristic
77#396×C107C2211yescharacteristic
78#396×C107C2211yescharacteristic
79#396×C107C2211yescharacteristic
80#396×C107C2211yescharacteristic
81#396×C107C2211yescharacteristic
82#396×C107C2211yescharacteristic, complemented
83#395×C107C2211yescharacteristic, complemented
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic
86#394×C107C2211yescharacteristic
87#394×C107C2211yescharacteristic
88#394×C107C2211yescharacteristic
89#394×C107C2211yescharacteristic
90#394×C107C2211yescharacteristic
91#394×C107C2211yescharacteristic
92#393×C107C2211yescharacteristic
93#393×C107C2211yescharacteristic
94#393×C107C2211yescharacteristic, complemented
95#391×C107C2211yescharacteristic, complemented
96#391×C107C2211yescharacteristic, complemented
97#390×C107C2211yescharacteristic
98#390×C107C2211yescharacteristic
99#389×C107C2211yescharacteristic, complemented
100#389×C107C2211yescharacteristic, complemented
101#389×C107C2211yescharacteristic, complemented
102#389×C107C2211yescharacteristic, complemented
103#389×C107C2211yescharacteristic, complemented
104#389×C107C2211yescharacteristic, complemented
105#389×C107C2211yescharacteristic, complemented
106#389×C107C2211yescharacteristic, complemented
107#389×C107C2211yescharacteristic, complemented
108#389×C107C2211yescharacteristic, complemented
109#388×C107C2211yescharacteristic
110#388×C107C2211yescharacteristic
111#388×C107C2211yescharacteristic
112#388×C107C2211yescharacteristic
113#388×C107C2211yescharacteristic
114#388×C107C2211yescharacteristic
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×C107C2211yescharacteristic
119#388×C107C2211yescharacteristic
120#388×C107C2211yescharacteristic
121#388×C107C2211yescharacteristic
122#388×C107C2211yescharacteristic
123#388×C107C2211yescharacteristic
124#388×C107C2211yescharacteristic
125#388×C107C2211yescharacteristic
126#388×C107C2211yescharacteristic
127#388×C107C2211yescharacteristic
128#388×C107C2211yescharacteristic, complemented
129#388×C107C2211yescharacteristic, complemented
130#388×C107C2211yescharacteristic, complemented
131#388×C107C2211yescharacteristic, complemented
132#388×C107C2211yescharacteristic, complemented
133#388×C107C2211yescharacteristic, complemented
134#388×C107C2211yescharacteristic, complemented
135#387×C107C2211yescharacteristic, complemented
136#387×C107C2211yescharacteristic, complemented
137#387×C107C2211yescharacteristic, complemented
138#387×C107C2211yescharacteristic, complemented
139#387×C107C2211yescharacteristic, complemented
140#387×C107C2211yescharacteristic, complemented
141#387×C107C2211yescharacteristic, complemented
142#387×C107C2211yescharacteristic, complemented
143#387×C107C2211yescharacteristic, complemented
144#387×C107C2211yescharacteristic, complemented
145#387×C107C2211yescharacteristic, complemented
146#387×C107C2211yescharacteristic, complemented
147#387×C107C2211yescharacteristic, complemented
148#387×C107C2211yescharacteristic, complemented
149#387×C107C2211yescharacteristic, complemented
150#387×C107C2211yescharacteristic, complemented
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic
154#386×C107C2211yescharacteristic
155#386×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#385×C107C2211yescharacteristic
162#385×C107C2211yescharacteristic
163#385×C107C2211yescharacteristic
164#385×C107C2211yescharacteristic
165#385×C107C2211yescharacteristic
166#385×C107C2211yescharacteristic, complemented
167#385×C107C2211yescharacteristic, complemented
168#385×C107C2211yescharacteristic, complemented
169#384×C107C2211yescharacteristic, complemented
170#384×C107C2211yescharacteristic, complemented
171#383×C107C2211yescharacteristic, complemented
172#382×C107C2211yescharacteristic, complemented
173#382×C107C2211yescharacteristic, complemented
174#382×C107C2211yescharacteristic, complemented
175#382×C107C2211yescharacteristic, complemented
176#381×C107C2211yescharacteristic
177#380×C107C2211yescharacteristic
178#380×C107C2211yescharacteristic
179#380×C107C2211yescharacteristic
180#380×C107C2211yescharacteristic, complemented
181#379×C107C2211yescharacteristic
182#379×C107C2211yescharacteristic
183#379×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C23×C4×C107C2311yescharacteristic
193C23×C4×C107C2311yescharacteristic
194C23×C4×C107C2311yescharacteristic
195C23×C4×C107C2311yescharacteristic
196C23×C4×C107C2311yescharacteristic
197C23×C4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
199#126×C107—42no—
200#126×C107—42no—
201#125×C107—42no—
202#123×C107—24no—
203#123×C107—42no—
204C22⋊Q8×C107—42no—
205#120×C107—42no—
206C4×D4×C107—42no—
207#117×C107—24no—
208#117×C107—42no—
209C2×C4⋊C4×C107—42no—
210C2×C4⋊C4×C107C2311yescharacteristic
211C2×C4⋊C4×C107C2311yescharacteristic
212C2×C4⋊C4×C107C2311yescharacteristic
213C2×C4⋊C4×C107C2311yescharacteristic
214C2×C4⋊C4×C107C2311yescharacteristic
215C2×C4⋊C4×C107C2311yescharacteristic
216C2×C4⋊C4×C107C2311yescharacteristic
217C2×C4⋊C4×C107C2311yescharacteristic
218C2×C4⋊C4×C107C2311yescharacteristic
219C2×C4⋊C4×C107C2311yescharacteristic
220C2×C4⋊C4×C107C2311yescharacteristic
221C2×C4⋊C4×C107C2311yescharacteristic
222C2×C4⋊C4×C107C2311yescharacteristic
223C2×C4⋊C4×C107C2311yescharacteristic
224C2×C4⋊C4×C107C2311yescharacteristic
225C2×C4⋊C4×C107C2311yescharacteristic
226C2×C4⋊C4×C107C2311yescharacteristic
227C2×C4⋊C4×C107C2311yescharacteristic
228C2×C4⋊C4×C107C2311yescharacteristic
229C2×C4⋊C4×C107C2311yescharacteristic
230C2×C4⋊C4×C107C2311yescharacteristic
231C2×C4⋊C4×C107C2311yescharacteristic
232C2×C4⋊C4×C107C2311yescharacteristic
233C2×C4⋊C4×C107C2311yescharacteristic
234C2×C4⋊C4×C107C2311yescharacteristic
235C2×C4⋊C4×C107C2311yescharacteristic
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×C22⋊C4×C107—24no—
251C2×C22⋊C4×C107—42no—
252C2×C22⋊C4×C107—42no—
253C2×C22⋊C4×C107C2311yescharacteristic
254C2×C22⋊C4×C107C2311yescharacteristic
255C2×C22⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107C2311yescharacteristic
257C2×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
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×C42×C107—42no—
298C2×C42×C107C2311yescharacteristic
299C2×C42×C107C2311yescharacteristic
300C2×C42×C107C2311yescharacteristic
301C2×C42×C107C2311yescharacteristic
302C2×C42×C107C2311yescharacteristic
303C2×C42×C107C2311yescharacteristic
304C2×C42×C107C2311yescharacteristic
305C2×C42×C107C2311yescharacteristic
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×C107C2311yescharacteristic
309#95×C107C2311yescharacteristic
310#95×C107C2311yescharacteristic
311#95×C107C2311yescharacteristic
312#95×C107C2311yescharacteristic
313#95×C107C2311yescharacteristic
314#95×C107C2311yescharacteristic
315#95×C107C2311yescharacteristic
316#95×C107C2311yescharacteristic
317#95×C107C2311yescharacteristic
318#95×C107C2311yescharacteristic
319#95×C107C2311yescharacteristic
320#95×C107C2311yescharacteristic
321#95×C107C2311yescharacteristic
322#95×C107C2311yescharacteristic
323#95×C107C2311yescharacteristic
324#95×C107C2311yescharacteristic
325#95×C107C2311yescharacteristic
326#95×C107C2311yescharacteristic
327#95×C107C2311yescharacteristic
328#95×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
357C24×C107—22no—
358C24×C107—22no—
359C24×C107—22no—
360C24×C107—41no—
361C24×C107—41no—
362C24×C107—41no—
363C24×C107—41no—
364C24×C107C2411yescharacteristic
365C24×C107C2411yescharacteristic
366C24×C107C2411yescharacteristic
367C24×C107C2411yescharacteristic
368C2×Q8×C107—41no—
369C2×Q8×C107—41no—
370C2×Q8×C107—41no—
371C2×D4×C107—22no—
372C2×D4×C107—22no—
373C2×D4×C107—22no—
374C2×D4×C107—41no—
375C2×D4×C107—41no—
376C2×D4×C107—41no—
377C2×D4×C107—41no—
378C2×D4×C107—41no—
379C2×D4×C107—41no—
380C22×C4×C107—22no—
381C22×C4×C107—22no—
382C22×C4×C107—22no—
383C22×C4×C107—22no—
384C22×C4×C107—22no—
385C22×C4×C107—22no—
386C22×C4×C107—22no—
387C22×C4×C107—22no—
388C22×C4×C107—41no—
389C22×C4×C107—41no—
390C22×C4×C107—41no—
391C22×C4×C107—41no—
392C22×C4×C107—41no—
393C22×C4×C107—41no—
394C22×C4×C107—41no—
395C22×C4×C107—41no—
396C22×C4×C107—41no—
397C22×C4×C107—41no—
398C22×C4×C107—41no—
399C22×C4×C107—41no—
400C22×C4×C107#4114yes—
401C22×C4×C107C2411yescharacteristic
402C22×C4×C107C2411yescharacteristic
403C22×C4×C107C2411yescharacteristic
404C22×C4×C107C2411yescharacteristic
405C22×C4×C107C2411yescharacteristic
406C22×C4×C107C2411yescharacteristic
407C22×C4×C107C2411yescharacteristic
408C22×C4×C107C2411yescharacteristic
409C22×C4×C107C2411yescharacteristic
410C22×C4×C107C2411yescharacteristic
411C22×C4×C107C2411yescharacteristic
412C22×C4×C107C2411yescharacteristic
413C22×C4×C107C2411yescharacteristic
414C22×C4×C107C2411yescharacteristic
415C22×C4×C107C2411yescharacteristic
416C22×C4×C107C2411yescharacteristic
417C22×C4×C107C2411yescharacteristic
418C22×C4×C107C2411yescharacteristic
419C22×C4×C107C2411yescharacteristic
420C22×C4×C107C2411yescharacteristic
421C22×C4×C107C2411yescharacteristic
422C22×C4×C107C2411yescharacteristic
423C22×C4×C107C2411yescharacteristic
424C22×C4×C107C2411yescharacteristic
425C22×C4×C107C2411yescharacteristic
426C22×C4×C107C2411yescharacteristic
427C22×C4×C107C2411yescharacteristic
428C4⋊C4×C107—22no—
429C4⋊C4×C107—22no—
430C4⋊C4×C107—22no—
431C4⋊C4×C107—22no—
432C4⋊C4×C107—22no—
433C4⋊C4×C107—22no—
434C4⋊C4×C107—22no—
435C4⋊C4×C107—41no—
436C4⋊C4×C107—41no—
437C4⋊C4×C107—41no—
438C4⋊C4×C107—41no—
439C4⋊C4×C107—41no—
440C4⋊C4×C107—41no—
441C4⋊C4×C107—41no—
442C4⋊C4×C107—41no—
443C4⋊C4×C107—41no—
444C4⋊C4×C107—41no—
445C4⋊C4×C107—41no—
446C4⋊C4×C107—41no—
447C4⋊C4×C107—41no—
448C4⋊C4×C107—41no—
449C4⋊C4×C107—41no—
450C4⋊C4×C107—41no—
451C4⋊C4×C107—41no—
452C4⋊C4×C107—41no—
453C4⋊C4×C107—41no—
454C4⋊C4×C107—41no—
455C4⋊C4×C107—41no—
456C4⋊C4×C107—41no—
457C4⋊C4×C107—41no—
458C4⋊C4×C107—41no—
459C4⋊C4×C107—41no—
460C4⋊C4×C107—41no—
461C4⋊C4×C107—41no—
462C4⋊C4×C107—41no—
463C4⋊C4×C107—41no—
464C4⋊C4×C107—41no—
465C4⋊C4×C107—41no—
466C4⋊C4×C107—41no—
467C4⋊C4×C107—41no—
468C22⋊C4×C107—22no—
469C22⋊C4×C107—22no—
470C22⋊C4×C107—22no—
471C22⋊C4×C107—22no—
472C22⋊C4×C107—22no—
473C22⋊C4×C107—22no—
474C22⋊C4×C107—22no—
475C22⋊C4×C107—22no—
476C22⋊C4×C107—22no—
477C22⋊C4×C107—22no—
478C22⋊C4×C107—22no—
479C22⋊C4×C107—22no—
480C22⋊C4×C107—22no—
481C22⋊C4×C107—22no—
482C22⋊C4×C107—22no—
483C22⋊C4×C107—22no—
484C22⋊C4×C107—41no—
485C22⋊C4×C107—41no—
486C22⋊C4×C107—41no—
487C22⋊C4×C107—41no—
488C22⋊C4×C107—41no—
489C22⋊C4×C107—41no—
490C22⋊C4×C107—41no—
491C22⋊C4×C107—41no—
492C22⋊C4×C107—41no—
493C22⋊C4×C107—41no—
494C22⋊C4×C107—41no—
495C22⋊C4×C107—41no—
496C22⋊C4×C107—41no—
497C22⋊C4×C107—41no—
498C22⋊C4×C107—41no—
499C22⋊C4×C107—41no—
500C22⋊C4×C107—41no—
501C22⋊C4×C107—41no—
502C22⋊C4×C107—41no—
503C22⋊C4×C107—41no—
504C22⋊C4×C107—41no—
505C22⋊C4×C107—41no—
506C22⋊C4×C107—41no—
507C22⋊C4×C107—41no—
508C22⋊C4×C107—41no—
509C22⋊C4×C107—41no—
510C22⋊C4×C107—41no—
511C22⋊C4×C107—41no—
512C42×C107—22no—
513C42×C107—22no—
514C42×C107—22no—
515C42×C107—22no—
516C42×C107—41no—
517C42×C107—41no—
518C42×C107—41no—
519C42×C107—41no—
520C42×C107—41no—
521C42×C107—41no—
522C42×C107—41no—
523C23×C107—21no—
524C23×C107—21no—
525C23×C107—21no—
526C23×C107—21no—
527C23×C107—21no—
528C23×C107—21no—
529C23×C107—21no—
530C23×C107—21no—
531C23×C107—21no—
532C23×C107—21no—
533C23×C107—21no—
534C23×C107—21no—
535C23×C107—21no—
536C23×C107—21no—
537C23×C107—21no—
538C23×C107—21no—
539C23×C107—21no—
540C23×C107—21no—
541C23×C107—21no—
542C23×C107—21no—
543C23×C107—21no—
544C23×C107—21no—
545C23×C107—21no—
546C23×C107—21no—
547C23×C107—21no—
548C23×C107—44no—
549C23×C107—44no—
550C23×C107—44no—
551C23×C107—82no—
552C23×C107—82no—
553C23×C107—82no—
554C23×C107—82no—
555C23×C107C2×#4112yes—
556C23×C107H(5,𝔽2)12yes—
557C23×C1072−1+412yes—
558C23×C107C2511yescharacteristic
559Q8×C107—82no—
560D4×C107—44no—
561D4×C107—82no—
562D4×C107—82no—
563C2×C4×C107—28no—
564C2×C4×C107—21no—
565C2×C4×C107—21no—
566C2×C4×C107—21no—
567C2×C4×C107—21no—
568C2×C4×C107—21no—
569C2×C4×C107—21no—
570C2×C4×C107—21no—
571C2×C4×C107—21no—
572C2×C4×C107—21no—
573C2×C4×C107—21no—
574C2×C4×C107—21no—
575C2×C4×C107—21no—
576C2×C4×C107—21no—
577C2×C4×C107—21no—
578C2×C4×C107—21no—
579C2×C4×C107—21no—
580C2×C4×C107—21no—
581C2×C4×C107—21no—
582C2×C4×C107—21no—
583C2×C4×C107—21no—
584C2×C4×C107—21no—
585C2×C4×C107—21no—
586C2×C4×C107—21no—
587C2×C4×C107—21no—
588C2×C4×C107—21no—
589C2×C4×C107—21no—
590C2×C4×C107—21no—
591C2×C4×C107—21no—
592C2×C4×C107—21no—
593C2×C4×C107—21no—
594C2×C4×C107—21no—
595C2×C4×C107—21no—
596C2×C4×C107—21no—
597C2×C4×C107—21no—
598C2×C4×C107—21no—
599C2×C4×C107—21no—
600C2×C4×C107—21no—
601C2×C4×C107—21no—
602C2×C4×C107—21no—
603C2×C4×C107—21no—
604C2×C4×C107—21no—
605C2×C4×C107—21no—
606C2×C4×C107—21no—
607C2×C4×C107—21no—
608C2×C4×C107—21no—
609C2×C4×C107—21no—
610C2×C4×C107—21no—
611C2×C4×C107—21no—
612C2×C4×C107—21no—
613C2×C4×C107—21no—
614C2×C4×C107—21no—
615C2×C4×C107—21no—
616C2×C4×C107—21no—
617C2×C4×C107—21no—
618C2×C4×C107—21no—
619C2×C4×C107—21no—
620C2×C4×C107—21no—
621C2×C4×C107—21no—
622C2×C4×C107—21no—
623C2×C4×C107—21no—
624C2×C4×C107—21no—
625C2×C4×C107—21no—
626C2×C4×C107—21no—
627C2×C4×C107—21no—
628C2×C4×C107—21no—
629C2×C4×C107—21no—
630C2×C4×C107—21no—
631C2×C4×C107—21no—
632C2×C4×C107—21no—
633C2×C4×C107—21no—
634C2×C4×C107—21no—
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—44no—
643C2×C4×C107—44no—
644C2×C4×C107—44no—
645C2×C4×C107—82no—
646C2×C4×C107—82no—
647C2×C4×C107—82no—
648C2×C4×C107C2×#4112yes—
649C2×C4×C107C2×#4112yes—
650C2×C4×C107H(5,𝔽2)12yes—
651C22×C107—22no—
652C22×C107—22no—
653C22×C107—22no—
654C22×C107—22no—
655C22×C107—22no—
656C22×C107—22no—
657C22×C107—41no—
658C22×C107—41no—
659C22×C107—41no—
660C22×C107—41no—
661C22×C107—41no—
662C22×C107—41no—
663C22×C107—41no—
664C22×C107—41no—
665C22×C107—41no—
666C22×C107—41no—
667C22×C107—41no—
668C22×C107—41no—
669C22×C107—41no—
670C22×C107—41no—
671C22×C107—41no—
672C22×C107—41no—
673C22×C107—41no—
674C22×C107—41no—
675C22×C107—41no—
676C22×C107—41no—
677C22×C107—41no—
678C22×C107—88no—
679C22×C107#53914yes—
680C22×C107C22×#4111yescharacteristic
681C22×C107C2×H(5,𝔽2)11yescharacteristic
682C22×C107C2×H(5,𝔽2)11yescharacteristic
683C22×C107C2×2−1+411yescharacteristic
684C22×C107#58511yescharacteristic
685C22×C107#58511yescharacteristic
686C22×C107#58511yescharacteristic
687C4×C107—22no—
688C4×C107—22no—
689C4×C107—22no—
690C4×C107—41no—
691C4×C107—41no—
692C4×C107—41no—
693C4×C107—41no—
694C4×C107—41no—
695C4×C107—41no—
696C4×C107—41no—
697C4×C107—41no—
698C4×C107—41no—
699C4×C107—41no—
700C4×C107—41no—
701C4×C107—41no—
702C4×C107—41no—
703C4×C107—41no—
704C4×C107—41no—
705C4×C107—41no—
706C4×C107—41no—
707C4×C107—41no—
708C4×C107—41no—
709C4×C107—41no—
710C4×C107—41no—
711C4×C107—41no—
712C4×C107—41no—
713C4×C107—41no—
714#36796C10711yesmaximal, characteristic, direct product factor, Sylow
715C2×C107—24no—
716C2×C107—81no—
717C2×C107—81no—
718C2×C107—81no—
719C2×C107C2×#53911yescharacteristic
720C2×C107#349311yescharacteristic
721C2×C107#350611yescharacteristic
722C2×C107#353511yescharacteristic
723C2×C107#354211yescharacteristic
724C2×C107#354511yescharacteristic
725C2×C107#356411yescharacteristic
726#2852C2×C10711yescharacteristic, complemented
727#2851C2×C10711yescharacteristic, complemented
728#2808C2×C10711yescharacteristic, complemented
729#2798C2×C10711yescharacteristic, complemented
730#2796C2×C10711yescharacteristic, complemented
731#2795C2×C10711yescharacteristic, complemented
732#2793C2×C10711yescharacteristic, complemented
733#2785C2×C10711yescharacteristic, complemented
734#2783C2×C10711yescharacteristic, complemented
735#2783C2×C10711yescharacteristic, complemented
736#2781C2×C10711yescharacteristic, complemented
737#2777C2×C10711yescharacteristic, complemented
738#2775C2×C10711yescharacteristic, complemented
739#2773C2×C10711yescharacteristic, complemented
740#2727C2×C10711yescharacteristic, complemented
741#2721C2×C10711yescharacteristic, complemented
742#2718C2×C10711yescharacteristic, complemented
743#2694C2×C10711yescharacteristic, complemented
744#2626C2×C10711yescharacteristic, complemented
745#2622C2×C10711yescharacteristic
746#2505C2×C10711yescharacteristic, complemented
747#2498C2×C10711yescharacteristic, complemented
748#2482C2×C10711yescharacteristic, complemented
749#2480C2×C10711yescharacteristic, complemented
750#2450C2×C10711yescharacteristic, complemented
751#2438C2×C10711yescharacteristic, complemented
752#2418C2×C10711yescharacteristic
753#2411C2×C10711yescharacteristic
754#2322C2×C10711yescharacteristic, complemented
755#2317C2×C10711yescharacteristic, complemented
756C2×#388C2×C10711yescharacteristic, complemented
757C107#3679611yescharacteristic, direct product factor, Sylow
758C2×#126C22×C10711yescharacteristic
759C2×#126C22×C10711yescharacteristic, complemented
760C2×#125C22×C10711yescharacteristic, complemented
761C2×#123C22×C10711yescharacteristic
762C2×#123C22×C10711yescharacteristic
763C2×C22⋊Q8C22×C10711yescharacteristic
764C2×#120C22×C10711yescharacteristic
765C2×C4×D4C22×C10711yescharacteristic
766C2×#117C22×C10711yescharacteristic
767C2×#117C22×C10711yescharacteristic
768C22×C4⋊C4C22×C10711yescharacteristic
769C22×C22⋊C4C22×C10711yescharacteristic
770C22×C22⋊C4C22×C10711yescharacteristic
771C22×C22⋊C4C22×C10711yescharacteristic
772C22×C42C22×C10711yescharacteristic
773#400C22×C10711yescharacteristic, complemented
774#400C22×C10711yescharacteristic, complemented
775#400C22×C10711yescharacteristic, complemented
776#400C22×C10711yescharacteristic, complemented
777#400C22×C10711yescharacteristic, complemented
778#400C22×C10711yescharacteristic, complemented
779#399C22×C10711yescharacteristic
780#399C22×C10711yescharacteristic
781#399C22×C10711yescharacteristic
782#399C22×C10711yescharacteristic
783#399C22×C10711yescharacteristic
784#399C22×C10711yescharacteristic, complemented
785#398C22×C10711yescharacteristic, complemented
786#398C22×C10711yescharacteristic, complemented
787#398C22×C10711yescharacteristic, complemented
788#398C22×C10711yescharacteristic, complemented
789#398C22×C10711yescharacteristic, complemented
790#397C22×C10711yescharacteristic
791#397C22×C10711yescharacteristic
792#397C22×C10711yescharacteristic
793#397C22×C10711yescharacteristic
794#397C22×C10711yescharacteristic
795#397C22×C10711yescharacteristic
796#397C22×C10711yescharacteristic
797#397C22×C10711yescharacteristic
798#397C22×C10711yescharacteristic
799#397C22×C10711yescharacteristic
800#397C22×C10711yescharacteristic, complemented
801#396C22×C10711yescharacteristic
802#396C22×C10711yescharacteristic
803#396C22×C10711yescharacteristic
804#396C22×C10711yescharacteristic
805#396C22×C10711yescharacteristic
806#396C22×C10711yescharacteristic
807#396C22×C10711yescharacteristic
808#396C22×C10711yescharacteristic, complemented
809#395C22×C10711yescharacteristic, complemented
810#394C22×C10711yescharacteristic
811#394C22×C10711yescharacteristic
812#394C22×C10711yescharacteristic
813#394C22×C10711yescharacteristic
814#394C22×C10711yescharacteristic
815#394C22×C10711yescharacteristic
816#394C22×C10711yescharacteristic
817#394C22×C10711yescharacteristic
818#393C22×C10711yescharacteristic
819#393C22×C10711yescharacteristic
820#393C22×C10711yescharacteristic, complemented
821#391C22×C10711yescharacteristic, complemented
822#391C22×C10711yescharacteristic, complemented
823#390C22×C10711yescharacteristic
824#390C22×C10711yescharacteristic
825#389C22×C10711yescharacteristic, complemented
826#389C22×C10711yescharacteristic, complemented
827#389C22×C10711yescharacteristic, complemented
828#389C22×C10711yescharacteristic, complemented
829#389C22×C10711yescharacteristic, complemented
830#389C22×C10711yescharacteristic, complemented
831#389C22×C10711yescharacteristic, complemented
832#389C22×C10711yescharacteristic, complemented
833#389C22×C10711yescharacteristic, complemented
834#389C22×C10711yescharacteristic, complemented
835#388C22×C10711yescharacteristic
836#388C22×C10711yescharacteristic
837#388C22×C10711yescharacteristic
838#388C22×C10711yescharacteristic
839#388C22×C10711yescharacteristic
840#388C22×C10711yescharacteristic
841#388C22×C10711yescharacteristic
842#388C22×C10711yescharacteristic
843#388C22×C10711yescharacteristic
844#388C22×C10711yescharacteristic
845#388C22×C10711yescharacteristic
846#388C22×C10711yescharacteristic
847#388C22×C10711yescharacteristic
848#388C22×C10711yescharacteristic
849#388C22×C10711yescharacteristic
850#388C22×C10711yescharacteristic
851#388C22×C10711yescharacteristic
852#388C22×C10711yescharacteristic
853#388C22×C10711yescharacteristic
854#388C22×C10711yescharacteristic, complemented
855#388C22×C10711yescharacteristic, complemented
856#388C22×C10711yescharacteristic, complemented
857#388C22×C10711yescharacteristic, complemented
858#388C22×C10711yescharacteristic, complemented
859#388C22×C10711yescharacteristic, complemented
860#388C22×C10711yescharacteristic, complemented
861#387C22×C10711yescharacteristic, complemented
862#387C22×C10711yescharacteristic, complemented
863#387C22×C10711yescharacteristic, complemented
864#387C22×C10711yescharacteristic, complemented
865#387C22×C10711yescharacteristic, complemented
866#387C22×C10711yescharacteristic, complemented
867#387C22×C10711yescharacteristic, complemented
868#387C22×C10711yescharacteristic, complemented
869#387C22×C10711yescharacteristic, complemented
870#387C22×C10711yescharacteristic, complemented
871#387C22×C10711yescharacteristic, complemented
872#387C22×C10711yescharacteristic, complemented
873#387C22×C10711yescharacteristic, complemented
874#387C22×C10711yescharacteristic, complemented
875#387C22×C10711yescharacteristic, complemented
876#387C22×C10711yescharacteristic, complemented
877#386C22×C10711yescharacteristic
878#386C22×C10711yescharacteristic
879#386C22×C10711yescharacteristic
880#386C22×C10711yescharacteristic
881#386C22×C10711yescharacteristic
882#385C22×C10711yescharacteristic
883#385C22×C10711yescharacteristic
884#385C22×C10711yescharacteristic
885#385C22×C10711yescharacteristic
886#385C22×C10711yescharacteristic
887#385C22×C10711yescharacteristic
888#385C22×C10711yescharacteristic
889#385C22×C10711yescharacteristic
890#385C22×C10711yescharacteristic
891#385C22×C10711yescharacteristic
892#385C22×C10711yescharacteristic, complemented
893#385C22×C10711yescharacteristic, complemented
894#385C22×C10711yescharacteristic, complemented
895#384C22×C10711yescharacteristic, complemented
896#384C22×C10711yescharacteristic, complemented
897#383C22×C10711yescharacteristic, complemented
898#382C22×C10711yescharacteristic, complemented
899#382C22×C10711yescharacteristic, complemented
900#382C22×C10711yescharacteristic, complemented
901#382C22×C10711yescharacteristic, complemented
902#381C22×C10711yescharacteristic
903#380C22×C10711yescharacteristic
904#380C22×C10711yescharacteristic
905#380C22×C10711yescharacteristic
906#380C22×C10711yescharacteristic, complemented
907#379C22×C10711yescharacteristic
908#379C22×C10711yescharacteristic
909#379C22×C10711yescharacteristic
910C4×C22⋊C4C22×C10711yescharacteristic
911C2×#95C22×C10711yescharacteristic
912C2×#95C22×C10711yescharacteristic
913C25C23×C10711yescharacteristic
914C22×Q8C23×C10711yescharacteristic
915C22×D4C23×C10711yescharacteristic
916C22×D4C23×C10711yescharacteristic
917C22×D4C23×C10711yescharacteristic
918C23×C4C23×C10711yescharacteristic
919C23×C4C23×C10711yescharacteristic
920C23×C4C23×C10711yescharacteristic
921C23×C4C23×C10711yescharacteristic
922C23×C4C23×C10711yescharacteristic
923C23×C4C23×C10711yescharacteristic
924C23×C4C23×C10711yescharacteristic
925#126—42no—
926#126—42no—
927#125—42no—
928#123—24no—
929#123—42no—
930C22⋊Q8—42no—
931#120—42no—
932C4×D4—42no—
933#117—24no—
934#117—42no—
935C2×C4⋊C4—42no—
936C2×C4⋊C4C23×C10711yescharacteristic
937C2×C4⋊C4C23×C10711yescharacteristic
938C2×C4⋊C4C23×C10711yescharacteristic
939C2×C4⋊C4C23×C10711yescharacteristic
940C2×C4⋊C4C23×C10711yescharacteristic
941C2×C4⋊C4C23×C10711yescharacteristic
942C2×C4⋊C4C23×C10711yescharacteristic
943C2×C4⋊C4C23×C10711yescharacteristic
944C2×C4⋊C4C23×C10711yescharacteristic
945C2×C4⋊C4C23×C10711yescharacteristic
946C2×C4⋊C4C23×C10711yescharacteristic
947C2×C4⋊C4C23×C10711yescharacteristic
948C2×C4⋊C4C23×C10711yescharacteristic
949C2×C4⋊C4C23×C10711yescharacteristic
950C2×C4⋊C4C23×C10711yescharacteristic
951C2×C4⋊C4C23×C10711yescharacteristic
952C2×C4⋊C4C23×C10711yescharacteristic
953C2×C4⋊C4C23×C10711yescharacteristic
954C2×C4⋊C4C23×C10711yescharacteristic
955C2×C4⋊C4C23×C10711yescharacteristic
956C2×C4⋊C4C23×C10711yescharacteristic
957C2×C4⋊C4C23×C10711yescharacteristic
958C2×C4⋊C4C23×C10711yescharacteristic
959C2×C4⋊C4C23×C10711yescharacteristic
960C2×C4⋊C4C23×C10711yescharacteristic
961C2×C4⋊C4C23×C10711yescharacteristic
962C2×C4⋊C4C23×C10711yescharacteristic
963C2×C4⋊C4C23×C10711yescharacteristic
964C2×C4⋊C4C23×C10711yescharacteristic
965C2×C4⋊C4C23×C10711yescharacteristic
966C2×C4⋊C4C23×C10711yescharacteristic
967C2×C4⋊C4C23×C10711yescharacteristic
968C2×C4⋊C4C23×C10711yescharacteristic
969C2×C4⋊C4C23×C10711yescharacteristic
970C2×C4⋊C4C23×C10711yescharacteristic
971C2×C4⋊C4C23×C10711yescharacteristic
972C2×C4⋊C4C23×C10711yescharacteristic
973C2×C4⋊C4C23×C10711yescharacteristic
974C2×C4⋊C4C23×C10711yescharacteristic
975C2×C4⋊C4C23×C10711yescharacteristic
976C2×C22⋊C4—24no—
977C2×C22⋊C4—42no—
978C2×C22⋊C4—42no—
979C2×C22⋊C4C23×C10711yescharacteristic
980C2×C22⋊C4C23×C10711yescharacteristic
981C2×C22⋊C4C23×C10711yescharacteristic
982C2×C22⋊C4C23×C10711yescharacteristic
983C2×C22⋊C4C23×C10711yescharacteristic
984C2×C22⋊C4C23×C10711yescharacteristic
985C2×C22⋊C4C23×C10711yescharacteristic
986C2×C22⋊C4C23×C10711yescharacteristic
987C2×C22⋊C4C23×C10711yescharacteristic
988C2×C22⋊C4C23×C10711yescharacteristic
989C2×C22⋊C4C23×C10711yescharacteristic
990C2×C22⋊C4C23×C10711yescharacteristic
991C2×C22⋊C4C23×C10711yescharacteristic
992C2×C22⋊C4C23×C10711yescharacteristic
993C2×C22⋊C4C23×C10711yescharacteristic
994C2×C22⋊C4C23×C10711yescharacteristic
995C2×C22⋊C4C23×C10711yescharacteristic
996C2×C22⋊C4C23×C10711yescharacteristic
997C2×C22⋊C4C23×C10711yescharacteristic
998C2×C22⋊C4C23×C10711yescharacteristic
999C2×C22⋊C4C23×C10711yescharacteristic
1000C2×C22⋊C4C23×C10711yescharacteristic
1001C2×C22⋊C4C23×C10711yescharacteristic
1002C2×C22⋊C4C23×C10711yescharacteristic
1003C2×C22⋊C4C23×C10711yescharacteristic
1004C2×C22⋊C4C23×C10711yescharacteristic
1005C2×C22⋊C4C23×C10711yescharacteristic
1006C2×C22⋊C4C23×C10711yescharacteristic
1007C2×C22⋊C4C23×C10711yescharacteristic
1008C2×C22⋊C4C23×C10711yescharacteristic
1009C2×C22⋊C4C23×C10711yescharacteristic
1010C2×C22⋊C4C23×C10711yescharacteristic
1011C2×C22⋊C4C23×C10711yescharacteristic
1012C2×C22⋊C4C23×C10711yescharacteristic
1013C2×C22⋊C4C23×C10711yescharacteristic
1014C2×C22⋊C4C23×C10711yescharacteristic
1015C2×C22⋊C4C23×C10711yescharacteristic
1016C2×C22⋊C4C23×C10711yescharacteristic
1017C2×C22⋊C4C23×C10711yescharacteristic
1018C2×C22⋊C4C23×C10711yescharacteristic
1019C2×C22⋊C4C23×C10711yescharacteristic
1020C2×C22⋊C4C23×C10711yescharacteristic
1021C2×C22⋊C4C23×C10711yescharacteristic
1022C2×C22⋊C4C23×C10711yescharacteristic
1023C2×C42—42no—
1024C2×C42C23×C10711yescharacteristic
1025C2×C42C23×C10711yescharacteristic
1026C2×C42C23×C10711yescharacteristic
1027C2×C42C23×C10711yescharacteristic
1028C2×C42C23×C10711yescharacteristic
1029C2×C42C23×C10711yescharacteristic
1030C2×C42C23×C10711yescharacteristic
1031C2×C42C23×C10711yescharacteristic
1032C2×C42C23×C10711yescharacteristic
1033C2×C42C23×C10711yescharacteristic
1034C2×C42C23×C10711yescharacteristic
1035#95C23×C10711yescharacteristic
1036#95C23×C10711yescharacteristic
1037#95C23×C10711yescharacteristic
1038#95C23×C10711yescharacteristic
1039#95C23×C10711yescharacteristic
1040#95C23×C10711yescharacteristic
1041#95C23×C10711yescharacteristic
1042#95C23×C10711yescharacteristic
1043#95C23×C10711yescharacteristic
1044#95C23×C10711yescharacteristic
1045#95C23×C10711yescharacteristic
1046#95C23×C10711yescharacteristic
1047#95C23×C10711yescharacteristic
1048#95C23×C10711yescharacteristic
1049#95C23×C10711yescharacteristic
1050#95C23×C10711yescharacteristic
1051#95C23×C10711yescharacteristic
1052#95C23×C10711yescharacteristic
1053#95C23×C10711yescharacteristic
1054#95C23×C10711yescharacteristic
1055#95C23×C10711yescharacteristic
1056#95C23×C10711yescharacteristic
1057#95C23×C10711yescharacteristic
1058#95C23×C10711yescharacteristic
1059#95C23×C10711yescharacteristic
1060#95C23×C10711yescharacteristic
1061#95C23×C10711yescharacteristic
1062#95C23×C10711yescharacteristic
1063#95C23×C10711yescharacteristic
1064#95C23×C10711yescharacteristic
1065#95C23×C10711yescharacteristic
1066#95C23×C10711yescharacteristic
1067#95C23×C10711yescharacteristic
1068#95C23×C10711yescharacteristic
1069#95C23×C10711yescharacteristic
1070#95C23×C10711yescharacteristic
1071#95C23×C10711yescharacteristic
1072#95C23×C10711yescharacteristic
1073#95C23×C10711yescharacteristic
1074#95C23×C10711yescharacteristic
1075#95C23×C10711yescharacteristic
1076#95C23×C10711yescharacteristic
1077#95C23×C10711yescharacteristic
1078#95C23×C10711yescharacteristic
1079#95C23×C10711yescharacteristic
1080#95C23×C10711yescharacteristic
1081#95C23×C10711yescharacteristic
1082#95C23×C10711yescharacteristic
1083C24—22no—
1084C24—22no—
1085C24—22no—
1086C24—41no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24C24×C10711yescharacteristic
1091C24C24×C10711yescharacteristic
1092C24C24×C10711yescharacteristic
1093C24C24×C10711yescharacteristic
1094C2×Q8—41no—
1095C2×Q8—41no—
1096C2×Q8—41no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—41no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C22×C4—22no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4#41×C10714yes—
1127C22×C4C24×C10711yescharacteristic
1128C22×C4C24×C10711yescharacteristic
1129C22×C4C24×C10711yescharacteristic
1130C22×C4C24×C10711yescharacteristic
1131C22×C4C24×C10711yescharacteristic
1132C22×C4C24×C10711yescharacteristic
1133C22×C4C24×C10711yescharacteristic
1134C22×C4C24×C10711yescharacteristic
1135C22×C4C24×C10711yescharacteristic
1136C22×C4C24×C10711yescharacteristic
1137C22×C4C24×C10711yescharacteristic
1138C22×C4C24×C10711yescharacteristic
1139C22×C4C24×C10711yescharacteristic
1140C22×C4C24×C10711yescharacteristic
1141C22×C4C24×C10711yescharacteristic
1142C22×C4C24×C10711yescharacteristic
1143C22×C4C24×C10711yescharacteristic
1144C22×C4C24×C10711yescharacteristic
1145C22×C4C24×C10711yescharacteristic
1146C22×C4C24×C10711yescharacteristic
1147C22×C4C24×C10711yescharacteristic
1148C22×C4C24×C10711yescharacteristic
1149C22×C4C24×C10711yescharacteristic
1150C22×C4C24×C10711yescharacteristic
1151C22×C4C24×C10711yescharacteristic
1152C22×C4C24×C10711yescharacteristic
1153C22×C4C24×C10711yescharacteristic
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C42—22no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—44no—
1275C23—44no—
1276C23—44no—
1277C23—82no—
1278C23—82no—
1279C23—82no—
1280C23—82no—
1281C23C2×#41×C10712yes—
1282C23H(5,𝔽2)×C10712yes—
1283C232−1+4×C10712yes—
1284C23C25×C10711yescharacteristic
1285Q8—82no—
1286D4—44no—
1287D4—82no—
1288D4—82no—
1289C2×C4—28no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—44no—
1369C2×C4—44no—
1370C2×C4—44no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4—82no—
1374C2×C4C2×#41×C10712yes—
1375C2×C4C2×#41×C10712yes—
1376C2×C4H(5,𝔽2)×C10712yes—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—88no—
1405C22#539×C10714yes—
1406C22C22×#41×C10711yescharacteristic
1407C22C2×H(5,𝔽2)×C10711yescharacteristic
1408C22C2×H(5,𝔽2)×C10711yescharacteristic
1409C22C2×2−1+4×C10711yescharacteristic
1410C22#585×C10711yescharacteristic
1411C22#585×C10711yescharacteristic
1412C22#585×C10711yescharacteristic
1413C4—22no—
1414C4—22no—
1415C4—22no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C2—24no—
1441C2—81no—
1442C2—81no—
1443C2—81no—
1444C2C2×#539×C10711yescharacteristic
1445C2C107×#349311yescharacteristic
1446C2C107×#350611yescharacteristic
1447C2C107×#353511yescharacteristic
1448C2C107×#354211yescharacteristic
1449C2C107×#354511yescharacteristic
1450C2C107×#356411yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
prime radicalC2×#120×C107C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2852C2semidirect
2. C107×#2851C2semidirect
3. C107×#2808C2semidirect
4. C107×#2798C2semidirect
5. C107×#2796C2semidirect
6. C107×#2795C2semidirect
7. C107×#2793C2semidirect
8. C107×#2785C2semidirect
9. C107×#2783C2semidirect
10. C107×#2783C2semidirect
11. C107×#2781C2semidirect
12. C107×#2777C2semidirect
13. C107×#2775C2semidirect
14. C107×#2773C2semidirect
15. C107×#2727C2semidirect
16. C107×#2721C2semidirect
17. C107×#2718C2semidirect
18. C107×#2694C2semidirect
19. C107×#2626C2semidirect
21. C107×#2505C2semidirect
22. C107×#2498C2semidirect
23. C107×#2482C2semidirect
24. C107×#2480C2semidirect
25. C107×#2450C2semidirect
26. C107×#2438C2semidirect
29. C107×#2322C2semidirect
30. C107×#2317C2semidirect
31. C2×#388×C107C2semidirect
33. C2×#126×C107C22semidirect
34. C2×#125×C107C22semidirect
47. #400×C107C22semidirect
48. #400×C107C22semidirect
49. #400×C107C22semidirect
50. #400×C107C22semidirect
51. #400×C107C22semidirect
52. #400×C107C22semidirect
58. #399×C107C22semidirect
59. #398×C107C22semidirect
60. #398×C107C22semidirect
61. #398×C107C22semidirect
62. #398×C107C22semidirect
63. #398×C107C22semidirect
74. #397×C107C22semidirect
82. #396×C107C22semidirect
83. #395×C107C22semidirect
94. #393×C107C22semidirect
95. #391×C107C22semidirect
96. #391×C107C22semidirect
99. #389×C107C22semidirect
100. #389×C107C22semidirect
101. #389×C107C22semidirect
102. #389×C107C22semidirect
103. #389×C107C22semidirect
104. #389×C107C22semidirect
105. #389×C107C22semidirect
106. #389×C107C22semidirect
107. #389×C107C22semidirect
108. #389×C107C22semidirect
128. #388×C107C22semidirect
129. #388×C107C22semidirect
130. #388×C107C22semidirect
131. #388×C107C22semidirect
132. #388×C107C22semidirect
133. #388×C107C22semidirect
134. #388×C107C22semidirect
135. #387×C107C22semidirect
136. #387×C107C22semidirect
137. #387×C107C22semidirect
138. #387×C107C22semidirect
139. #387×C107C22semidirect
140. #387×C107C22semidirect
141. #387×C107C22semidirect
142. #387×C107C22semidirect
143. #387×C107C22semidirect
144. #387×C107C22semidirect
145. #387×C107C22semidirect
146. #387×C107C22semidirect
147. #387×C107C22semidirect
148. #387×C107C22semidirect
149. #387×C107C22semidirect
150. #387×C107C22semidirect
166. #385×C107C22semidirect
167. #385×C107C22semidirect
168. #385×C107C22semidirect
169. #384×C107C22semidirect
170. #384×C107C22semidirect
171. #383×C107C22semidirect
172. #382×C107C22semidirect
173. #382×C107C22semidirect
174. #382×C107C22semidirect
175. #382×C107C22semidirect
180. #380×C107C22semidirect
714. #36796C107direct (N × H)
726. #2852C2×C107semidirect
727. #2851C2×C107semidirect
728. #2808C2×C107semidirect
729. #2798C2×C107semidirect
730. #2796C2×C107semidirect
731. #2795C2×C107semidirect
732. #2793C2×C107semidirect
733. #2785C2×C107semidirect
734. #2783C2×C107semidirect
735. #2783C2×C107semidirect
736. #2781C2×C107semidirect
737. #2777C2×C107semidirect
738. #2775C2×C107semidirect
739. #2773C2×C107semidirect
740. #2727C2×C107semidirect
741. #2721C2×C107semidirect
742. #2718C2×C107semidirect
743. #2694C2×C107semidirect
744. #2626C2×C107semidirect
746. #2505C2×C107semidirect
747. #2498C2×C107semidirect
748. #2482C2×C107semidirect
749. #2480C2×C107semidirect
750. #2450C2×C107semidirect
751. #2438C2×C107semidirect
754. #2322C2×C107semidirect
755. #2317C2×C107semidirect
756. C2×#388C2×C107semidirect
757. C107#36796direct (N × H)
759. C2×#126C22×C107semidirect
760. C2×#125C22×C107semidirect
773. #400C22×C107semidirect
774. #400C22×C107semidirect
775. #400C22×C107semidirect
776. #400C22×C107semidirect
777. #400C22×C107semidirect
778. #400C22×C107semidirect
784. #399C22×C107semidirect
785. #398C22×C107semidirect
786. #398C22×C107semidirect
787. #398C22×C107semidirect
788. #398C22×C107semidirect
789. #398C22×C107semidirect
800. #397C22×C107semidirect
808. #396C22×C107semidirect
809. #395C22×C107semidirect
820. #393C22×C107semidirect
821. #391C22×C107semidirect
822. #391C22×C107semidirect
825. #389C22×C107semidirect
826. #389C22×C107semidirect
827. #389C22×C107semidirect
828. #389C22×C107semidirect
829. #389C22×C107semidirect
830. #389C22×C107semidirect
831. #389C22×C107semidirect
832. #389C22×C107semidirect
833. #389C22×C107semidirect
834. #389C22×C107semidirect
854. #388C22×C107semidirect
855. #388C22×C107semidirect
856. #388C22×C107semidirect
857. #388C22×C107semidirect
858. #388C22×C107semidirect
859. #388C22×C107semidirect
860. #388C22×C107semidirect
861. #387C22×C107semidirect
862. #387C22×C107semidirect
863. #387C22×C107semidirect
864. #387C22×C107semidirect
865. #387C22×C107semidirect
866. #387C22×C107semidirect
867. #387C22×C107semidirect
868. #387C22×C107semidirect
869. #387C22×C107semidirect
870. #387C22×C107semidirect
871. #387C22×C107semidirect
872. #387C22×C107semidirect
873. #387C22×C107semidirect
874. #387C22×C107semidirect
875. #387C22×C107semidirect
876. #387C22×C107semidirect
892. #385C22×C107semidirect
893. #385C22×C107semidirect
894. #385C22×C107semidirect
895. #384C22×C107semidirect
896. #384C22×C107semidirect
897. #383C22×C107semidirect
898. #382C22×C107semidirect
899. #382C22×C107semidirect
900. #382C22×C107semidirect
901. #382C22×C107semidirect
906. #380C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28522
C107×#28512
C107×#28082
C107×#27982
C107×#27962
C107×#27952
C107×#27932
C107×#27852
C107×#27832
C107×#27812
C107×#27772
C107×#27752
C107×#27732
C107×#27272
C107×#27212
C107×#27182
C107×#26942
C107×#26262
C107×#26222
C107×#25052
C107×#24982
C107×#24822
C107×#24802
C107×#24502
C107×#24382
C107×#24182
C107×#24112
C107×#23222
C107×#23172
C2×#388×C1072
#36796107