Finite Group Databasebeta

← C107×#34959 #41060923

Subgroups — C107×#34959 #41060923

Order 27392.

2296 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2597C211yesmaximal, characteristic, complemented
2C107×#2595C211yesmaximal, characteristic, complemented
3C107×#2589C211yesmaximal, characteristic, complemented
4C107×#2587C211yesmaximal, characteristic, complemented
5C107×#2578C211yesmaximal, characteristic, complemented
6C107×#2576C211yesmaximal, characteristic, complemented
7C107×#2559C211yesmaximal, characteristic, complemented
8C107×#2557C211yesmaximal, characteristic, complemented
9C107×#2510C211yesmaximal, characteristic, complemented
10C107×#2505C211yesmaximal, characteristic, complemented
11C107×#2480C211yesmaximal, characteristic, complemented
12C107×#2472C211yesmaximal, characteristic, complemented
13C107×#2450C211yesmaximal, characteristic, complemented
14C107×#2444C211yesmaximal, characteristic, complemented
15C107×#2424C211yesmaximal, characteristic
16C107×#2418C211yesmaximal, characteristic, complemented
17C107×#2401C211yesmaximal, characteristic, complemented
18C107×#2398C211yesmaximal, characteristic, complemented
19C107×#2395C211yesmaximal, characteristic, complemented
20C107×#2392C211yesmaximal, characteristic, complemented
21C4×#126×C107C211yesmaximal, characteristic, complemented
22C4×#124×C107C211yesmaximal, characteristic, complemented
23C4×C22⋊Q8×C107C211yesmaximal, characteristic, complemented
24C4×#123×C107C211yesmaximal, characteristic, complemented
25C4×#121×C107C211yesmaximal, characteristic, complemented
26C4×#121×C107C211yesmaximal, characteristic, complemented
27C4×#120×C107C211yesmaximal, characteristic, complemented
28C4×#120×C107C211yesmaximal, characteristic, complemented
29C107×#2290C211yesmaximal, characteristic, complemented
30C42×D4×C107C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C107C211yesmaximal, characteristic, complemented
32C24×C4×C107C2211yescharacteristic
33C2×#126×C107C2211yescharacteristic
34C2×#124×C107C2211yescharacteristic
35C2×#123×C107C2211yescharacteristic
36C2×C22⋊Q8×C107C2211yescharacteristic
37C2×#121×C107C2211yescharacteristic
38C2×#121×C107C2211yescharacteristic
39C2×#120×C107C2211yescharacteristic
40C2×#120×C107C2211yescharacteristic
41C2×C4×Q8×C107C2211yescharacteristic, complemented
42C2×C4×D4×C107C2211yescharacteristic
43C2×C4×D4×C107C2211yescharacteristic
44C2×C4×D4×C107C2211yescharacteristic
45C2×C4×D4×C107C2211yescharacteristic
46C2×C4×D4×C107C2211yescharacteristic
47C2×C4×D4×C107C2211yescharacteristic
48C2×C4×D4×C107C2211yescharacteristic
49C2×C4×D4×C107C2211yescharacteristic
50C2×C4×D4×C107C2211yescharacteristic, complemented
51C2×#117×C107C2211yescharacteristic, complemented
52C22×C22⋊C4×C107C2211yescharacteristic
53C22×C22⋊C4×C107C2211yescharacteristic
54C22×C42×C107C2211yescharacteristic
55C22×C42×C107C2211yescharacteristic
56C22×C42×C107C2211yescharacteristic, complemented
57#401×C107C2211yescharacteristic, complemented
58#400×C107C2211yescharacteristic, complemented
59#400×C107C2211yescharacteristic, complemented
60#400×C107C2211yescharacteristic, complemented
61#400×C107C2211yescharacteristic, complemented
62#400×C107C2211yescharacteristic, complemented
63#400×C107C2211yescharacteristic, complemented
64#399×C107C2211yescharacteristic
65#398×C107C2211yescharacteristic, complemented
66#398×C107C2211yescharacteristic, complemented
67#397×C107C2211yescharacteristic
68#397×C107C2211yescharacteristic
69#397×C107C2211yescharacteristic
70#397×C107C2211yescharacteristic
71#397×C107C2211yescharacteristic
72#397×C107C2211yescharacteristic, complemented
73#397×C107C2211yescharacteristic, complemented
74#397×C107C2211yescharacteristic, complemented
75#397×C107C2211yescharacteristic, complemented
76#396×C107C2211yescharacteristic
77#396×C107C2211yescharacteristic
78#396×C107C2211yescharacteristic, complemented
79#394×C107C2211yescharacteristic
80#394×C107C2211yescharacteristic
81#394×C107C2211yescharacteristic
82#394×C107C2211yescharacteristic
83#394×C107C2211yescharacteristic
84#394×C107C2211yescharacteristic
85#394×C107C2211yescharacteristic, complemented
86#393×C107C2211yescharacteristic
87#393×C107C2211yescharacteristic, complemented
88#392×C107C2211yescharacteristic
89#391×C107C2211yescharacteristic, complemented
90#391×C107C2211yescharacteristic, complemented
91#390×C107C2211yescharacteristic
92#390×C107C2211yescharacteristic
93#390×C107C2211yescharacteristic, complemented
94#389×C107C2211yescharacteristic, complemented
95#389×C107C2211yescharacteristic, complemented
96#389×C107C2211yescharacteristic, complemented
97#388×C107C2211yescharacteristic
98#388×C107C2211yescharacteristic
99#388×C107C2211yescharacteristic
100#388×C107C2211yescharacteristic
101#388×C107C2211yescharacteristic
102#388×C107C2211yescharacteristic
103#388×C107C2211yescharacteristic
104#388×C107C2211yescharacteristic
105#388×C107C2211yescharacteristic, complemented
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#387×C107C2211yescharacteristic, complemented
113#387×C107C2211yescharacteristic, complemented
114#387×C107C2211yescharacteristic, complemented
115#387×C107C2211yescharacteristic, complemented
116#387×C107C2211yescharacteristic, complemented
117#387×C107C2211yescharacteristic, complemented
118#387×C107C2211yescharacteristic, complemented
119#387×C107C2211yescharacteristic, complemented
120#387×C107C2211yescharacteristic, complemented
121#386×C107C2211yescharacteristic
122#386×C107C2211yescharacteristic
123#386×C107C2211yescharacteristic
124#386×C107C2211yescharacteristic
125#386×C107C2211yescharacteristic
126#386×C107C2211yescharacteristic
127#386×C107C2211yescharacteristic
128#386×C107C2211yescharacteristic
129#386×C107C2211yescharacteristic
130#386×C107C2211yescharacteristic
131#386×C107C2211yescharacteristic
132#386×C107C2211yescharacteristic
133#386×C107C2211yescharacteristic, complemented
134#385×C107C2211yescharacteristic
135#385×C107C2211yescharacteristic
136#385×C107C2211yescharacteristic
137#385×C107C2211yescharacteristic
138#385×C107C2211yescharacteristic
139#385×C107C2211yescharacteristic
140#385×C107C2211yescharacteristic
141#385×C107C2211yescharacteristic
142#385×C107C2211yescharacteristic
143#385×C107C2211yescharacteristic
144#385×C107C2211yescharacteristic, complemented
145#383×C107C2211yescharacteristic, complemented
146#382×C107C2211yescharacteristic, complemented
147#381×C107C2211yescharacteristic, complemented
148#380×C107C2211yescharacteristic
149#380×C107C2211yescharacteristic
150#380×C107C2211yescharacteristic, complemented
151#379×C107C2211yescharacteristic
152#379×C107C2211yescharacteristic
153C4×C4⋊C4×C107C2211yescharacteristic, complemented
154C4×C4⋊C4×C107C2211yescharacteristic, complemented
155C4×C4⋊C4×C107C2211yescharacteristic, complemented
156C4×C4⋊C4×C107C2211yescharacteristic, complemented
157C4×C4⋊C4×C107C2211yescharacteristic, complemented
158C4×C4⋊C4×C107C2211yescharacteristic, complemented
159C4×C4⋊C4×C107C2211yescharacteristic, complemented
160C4×C4⋊C4×C107C2211yescharacteristic, complemented
161C4×C22⋊C4×C107C2211yescharacteristic
162C4×C22⋊C4×C107C2211yescharacteristic
163C4×C22⋊C4×C107C2211yescharacteristic
164C4×C22⋊C4×C107C2211yescharacteristic
165C4×C22⋊C4×C107C2211yescharacteristic
166C4×C22⋊C4×C107C2211yescharacteristic
167C4×C22⋊C4×C107C2211yescharacteristic
168C4×C22⋊C4×C107C2211yescharacteristic
169C4×C22⋊C4×C107C2211yescharacteristic
170C4×C22⋊C4×C107C2211yescharacteristic
171C4×C22⋊C4×C107C2211yescharacteristic
172C4×C22⋊C4×C107C2211yescharacteristic
173C4×C22⋊C4×C107C2211yescharacteristic
174C4×C22⋊C4×C107C2211yescharacteristic
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic, complemented
178C4×C22⋊C4×C107C2211yescharacteristic, complemented
179C4×C22⋊C4×C107C2211yescharacteristic, complemented
180C4×C22⋊C4×C107C2211yescharacteristic, complemented
181C4×C22⋊C4×C107C2211yescharacteristic, complemented
182C4×C22⋊C4×C107C2211yescharacteristic, complemented
183#376×C107C2211yescharacteristic, complemented
184C2×#95×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C43×C107C2211yescharacteristic, complemented
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C23×C4×C107—24no—
197C23×C4×C107—42no—
198C23×C4×C107—42no—
199C23×C4×C107C2311yescharacteristic
200C23×C4×C107C2311yescharacteristic
201C23×C4×C107C2311yescharacteristic
202C23×C4×C107C2311yescharacteristic
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
213#126×C107—24no—
214#124×C107—24no—
215#123×C107—24no—
216C22⋊Q8×C107—24no—
217#121×C107—24no—
218#121×C107—24no—
219#120×C107—24no—
220#120×C107—24no—
221C4×Q8×C107—42no—
222C4×D4×C107—24no—
223C4×D4×C107—24no—
224C4×D4×C107—24no—
225C4×D4×C107—24no—
226C4×D4×C107—42no—
227C4×D4×C107—42no—
228C4×D4×C107—42no—
229C4×D4×C107—42no—
230C4×D4×C107—42no—
231#117×C107—42no—
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×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C4⋊C4×C107C2311yescharacteristic
253C2×C4⋊C4×C107C2311yescharacteristic
254C2×C4⋊C4×C107C2311yescharacteristic
255C2×C4⋊C4×C107C2311yescharacteristic
256C2×C22⋊C4×C107—24no—
257C2×C22⋊C4×C107—24no—
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×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C42×C107—42no—
303C2×C42×C107—42no—
304C2×C42×C107—42no—
305C2×C42×C107C2311yescharacteristic
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×C107C2311yescharacteristic
309C2×C42×C107C2311yescharacteristic
310C2×C42×C107C2311yescharacteristic
311C2×C42×C107C2311yescharacteristic
312C2×C42×C107C2311yescharacteristic
313C2×C42×C107C2311yescharacteristic
314C2×C42×C107C2311yescharacteristic
315C2×C42×C107C2311yescharacteristic
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
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
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
381C2×Q8×C107—22no—
382C2×Q8×C107—22no—
383C2×Q8×C107—41no—
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—41no—
400C2×D4×C107—41no—
401C2×D4×C107—41no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107#4114yes—
405C22×C4×C107—22no—
406C22×C4×C107—22no—
407C22×C4×C107—22no—
408C22×C4×C107—22no—
409C22×C4×C107—22no—
410C22×C4×C107—22no—
411C22×C4×C107—22no—
412C22×C4×C107—22no—
413C22×C4×C107—22no—
414C22×C4×C107—22no—
415C22×C4×C107—22no—
416C22×C4×C107—22no—
417C22×C4×C107—22no—
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—41no—
435C22×C4×C107—41no—
436C22×C4×C107—41no—
437C22×C4×C107—41no—
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—416no—
447C22×C4×C107#4114yes—
448C22×C4×C107C2411yescharacteristic
449C22×C4×C107C2411yescharacteristic
450C22×C4×C107C2411yescharacteristic
451C22×C4×C107C2411yescharacteristic
452C22×C4×C107C2411yescharacteristic
453C22×C4×C107C2411yescharacteristic
454C22×C4×C107C2411yescharacteristic
455C22×C4×C107C2411yescharacteristic
456C22×C4×C107C2411yescharacteristic
457C22×C4×C107C2411yescharacteristic
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
474C4⋊C4×C107—22no—
475C4⋊C4×C107—22no—
476C4⋊C4×C107—22no—
477C4⋊C4×C107—22no—
478C4⋊C4×C107—22no—
479C4⋊C4×C107—22no—
480C4⋊C4×C107—22no—
481C4⋊C4×C107—22no—
482C4⋊C4×C107—22no—
483C4⋊C4×C107—22no—
484C4⋊C4×C107—22no—
485C4⋊C4×C107—22no—
486C4⋊C4×C107—22no—
487C4⋊C4×C107—22no—
488C4⋊C4×C107—41no—
489C4⋊C4×C107—41no—
490C4⋊C4×C107—41no—
491C4⋊C4×C107—41no—
492C4⋊C4×C107—41no—
493C4⋊C4×C107—41no—
494C4⋊C4×C107—41no—
495C4⋊C4×C107—41no—
496C4⋊C4×C107—41no—
497C4⋊C4×C107—41no—
498C22⋊C4×C107—22no—
499C22⋊C4×C107—22no—
500C22⋊C4×C107—22no—
501C22⋊C4×C107—22no—
502C22⋊C4×C107—22no—
503C22⋊C4×C107—22no—
504C22⋊C4×C107—22no—
505C22⋊C4×C107—22no—
506C22⋊C4×C107—22no—
507C22⋊C4×C107—22no—
508C22⋊C4×C107—22no—
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—41no—
528C22⋊C4×C107—41no—
529C22⋊C4×C107—41no—
530C22⋊C4×C107—41no—
531C22⋊C4×C107—41no—
532C22⋊C4×C107—41no—
533C22⋊C4×C107—41no—
534C22⋊C4×C107—41no—
535C22⋊C4×C107—41no—
536C22⋊C4×C107—41no—
537C22⋊C4×C107—41no—
538C22⋊C4×C107—41no—
539C22⋊C4×C107#4114yes—
540C22⋊C4×C107#4114yes—
541C22⋊C4×C107#4114yes—
542C42×C107—22no—
543C42×C107—22no—
544C42×C107—22no—
545C42×C107—22no—
546C42×C107—22no—
547C42×C107—22no—
548C42×C107—22no—
549C42×C107—22no—
550C42×C107—22no—
551C42×C107—22no—
552C42×C107—22no—
553C42×C107—22no—
554C42×C107—22no—
555C42×C107—22no—
556C42×C107—41no—
557C42×C107—41no—
558C42×C107—41no—
559C42×C107—41no—
560C42×C107—41no—
561C42×C107—41no—
562C23×C107—21no—
563C23×C107—21no—
564C23×C107—21no—
565C23×C107—21no—
566C23×C107—28no—
567C23×C107—21no—
568C23×C107—21no—
569C23×C107—21no—
570C23×C107—21no—
571C23×C107—21no—
572C23×C107—21no—
573C23×C107—21no—
574C23×C107—21no—
575C23×C107—21no—
576C23×C107—21no—
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—44no—
593C23×C107—44no—
594C23×C107—44no—
595C23×C107—44no—
596C23×C107—44no—
597C23×C107—44no—
598C23×C107C2×#4112yes—
599C23×C107C2×#4112yes—
600C23×C107C2×#4112yes—
601C23×C107C2×#4112yes—
602C23×C107C2×#4112yes—
603C23×C107C2×#4112yes—
604C23×C107C2511yescharacteristic
605Q8×C107—44no—
606D4×C107—28no—
607D4×C107—44no—
608D4×C107—44no—
609D4×C107—44no—
610D4×C107—44no—
611D4×C107—44no—
612D4×C107—44no—
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—28no—
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—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—44no—
682C2×C4×C107—44no—
683C2×C4×C107—44no—
684C2×C4×C107—44no—
685C2×C4×C107—44no—
686C2×C4×C107—44no—
687C2×C4×C107—44no—
688C2×C4×C107—44no—
689C2×C4×C107—44no—
690C2×C4×C107—44no—
691C2×C4×C107—44no—
692C2×C4×C107—44no—
693C2×C4×C107—44no—
694C2×C4×C107C2×#4112yes—
695C2×C4×C107C2×#4112yes—
696C2×C4×C107C2×#4112yes—
697C2×C4×C107C2×#4112yes—
698C2×C4×C107C2×#4112yes—
699C2×C4×C107C2×#4112yes—
700C2×C4×C107C2×#4112yes—
701C2×C4×C107C2×#4112yes—
702C2×C4×C107C2×#4112yes—
703C2×C4×C107H(5,𝔽2)12yes—
704C2×C4×C107H(5,𝔽2)12yes—
705C22×C107—22no—
706C22×C107—22no—
707C22×C107—22no—
708C22×C107—22no—
709C22×C107—22no—
710C22×C107—22no—
711C22×C107—22no—
712C22×C107—22no—
713C22×C107—22no—
714C22×C107—22no—
715C22×C107—22no—
716C22×C107—22no—
717C22×C107—22no—
718C22×C107—22no—
719C22×C107—22no—
720C22×C107—416no—
721C22×C107—41no—
722C22×C107—41no—
723C22×C107—41no—
724C22×C107—41no—
725C22×C107—41no—
726C22×C107—41no—
727C22×C107—41no—
728C22×C107—41no—
729C22×C107—41no—
730C22×C107—41no—
731C22×C107—41no—
732C22×C107—41no—
733C22×C107—41no—
734C22×C107—41no—
735C22×C107—41no—
736C22×C107—41no—
737C22×C107—41no—
738C22×C107—41no—
739C22×C107—41no—
740C22×C107#52914yes—
741C22×C107C22×#4111yescharacteristic
742C22×C107C22×#4111yescharacteristic
743C22×C107C22×#4111yescharacteristic
744C22×C107C22×#4111yescharacteristic
745C22×C107C22×#4111yescharacteristic
746C22×C107C2×H(5,𝔽2)11yescharacteristic
747C22×C107C2×H(5,𝔽2)11yescharacteristic
748C4×C107—22no—
749C4×C107—22no—
750C4×C107—22no—
751C4×C107—22no—
752C4×C107—22no—
753C4×C107—22no—
754C4×C107—22no—
755C4×C107—22no—
756C4×C107—41no—
757C4×C107—41no—
758C4×C107—41no—
759C4×C107—41no—
760C4×C107—41no—
761C4×C107—41no—
762C4×C107—41no—
763C4×C107—41no—
764C4×C107—41no—
765C4×C107—41no—
766C4×C107—41no—
767C4×C107—41no—
768C4×C107—41no—
769C4×C107—41no—
770C4×C107—41no—
771C4×C107—41no—
772C4×C107—41no—
773C4×C107#53814yes—
774#34959C10711yesmaximal, characteristic, direct product factor, Sylow
775C2×C107—24no—
776C2×C107—42no—
777C2×C107—42no—
778C2×C107—42no—
779C2×C107—81no—
780C2×C107C2×#52911yescharacteristic
781C2×C107#344411yescharacteristic
782C2×C107C2×#53811yescharacteristic
783C2×C107#348111yescharacteristic
784C2×C107#348111yescharacteristic
785C2×C107#348111yescharacteristic
786C2×C107#348111yescharacteristic
787#2597C2×C10711yescharacteristic, complemented
788#2595C2×C10711yescharacteristic, complemented
789#2589C2×C10711yescharacteristic, complemented
790#2587C2×C10711yescharacteristic, complemented
791#2578C2×C10711yescharacteristic, complemented
792#2576C2×C10711yescharacteristic, complemented
793#2559C2×C10711yescharacteristic, complemented
794#2557C2×C10711yescharacteristic, complemented
795#2510C2×C10711yescharacteristic, complemented
796#2505C2×C10711yescharacteristic, complemented
797#2480C2×C10711yescharacteristic, complemented
798#2472C2×C10711yescharacteristic, complemented
799#2450C2×C10711yescharacteristic, complemented
800#2444C2×C10711yescharacteristic, complemented
801#2424C2×C10711yescharacteristic
802#2418C2×C10711yescharacteristic, complemented
803#2401C2×C10711yescharacteristic, complemented
804#2398C2×C10711yescharacteristic, complemented
805#2395C2×C10711yescharacteristic, complemented
806#2392C2×C10711yescharacteristic, complemented
807C4×#126C2×C10711yescharacteristic, complemented
808C4×#124C2×C10711yescharacteristic, complemented
809C4×C22⋊Q8C2×C10711yescharacteristic, complemented
810C4×#123C2×C10711yescharacteristic, complemented
811C4×#121C2×C10711yescharacteristic, complemented
812C4×#121C2×C10711yescharacteristic, complemented
813C4×#120C2×C10711yescharacteristic, complemented
814C4×#120C2×C10711yescharacteristic, complemented
815#2290C2×C10711yescharacteristic, complemented
816C42×D4C2×C10711yescharacteristic, complemented
817C2×C4×C22⋊C4C2×C10711yescharacteristic, complemented
818C107#3495911yescharacteristic, direct product factor, Sylow
819C24×C4C22×C10711yescharacteristic
820C2×#126C22×C10711yescharacteristic
821C2×#124C22×C10711yescharacteristic
822C2×#123C22×C10711yescharacteristic
823C2×C22⋊Q8C22×C10711yescharacteristic
824C2×#121C22×C10711yescharacteristic
825C2×#121C22×C10711yescharacteristic
826C2×#120C22×C10711yescharacteristic
827C2×#120C22×C10711yescharacteristic
828C2×C4×Q8C22×C10711yescharacteristic, complemented
829C2×C4×D4C22×C10711yescharacteristic
830C2×C4×D4C22×C10711yescharacteristic
831C2×C4×D4C22×C10711yescharacteristic
832C2×C4×D4C22×C10711yescharacteristic
833C2×C4×D4C22×C10711yescharacteristic
834C2×C4×D4C22×C10711yescharacteristic
835C2×C4×D4C22×C10711yescharacteristic
836C2×C4×D4C22×C10711yescharacteristic
837C2×C4×D4C22×C10711yescharacteristic, complemented
838C2×#117C22×C10711yescharacteristic, complemented
839C22×C22⋊C4C22×C10711yescharacteristic
840C22×C22⋊C4C22×C10711yescharacteristic
841C22×C42C22×C10711yescharacteristic
842C22×C42C22×C10711yescharacteristic
843C22×C42C22×C10711yescharacteristic, complemented
844#401C22×C10711yescharacteristic, complemented
845#400C22×C10711yescharacteristic, complemented
846#400C22×C10711yescharacteristic, complemented
847#400C22×C10711yescharacteristic, complemented
848#400C22×C10711yescharacteristic, complemented
849#400C22×C10711yescharacteristic, complemented
850#400C22×C10711yescharacteristic, complemented
851#399C22×C10711yescharacteristic
852#398C22×C10711yescharacteristic, complemented
853#398C22×C10711yescharacteristic, complemented
854#397C22×C10711yescharacteristic
855#397C22×C10711yescharacteristic
856#397C22×C10711yescharacteristic
857#397C22×C10711yescharacteristic
858#397C22×C10711yescharacteristic
859#397C22×C10711yescharacteristic, complemented
860#397C22×C10711yescharacteristic, complemented
861#397C22×C10711yescharacteristic, complemented
862#397C22×C10711yescharacteristic, complemented
863#396C22×C10711yescharacteristic
864#396C22×C10711yescharacteristic
865#396C22×C10711yescharacteristic, complemented
866#394C22×C10711yescharacteristic
867#394C22×C10711yescharacteristic
868#394C22×C10711yescharacteristic
869#394C22×C10711yescharacteristic
870#394C22×C10711yescharacteristic
871#394C22×C10711yescharacteristic
872#394C22×C10711yescharacteristic, complemented
873#393C22×C10711yescharacteristic
874#393C22×C10711yescharacteristic, complemented
875#392C22×C10711yescharacteristic
876#391C22×C10711yescharacteristic, complemented
877#391C22×C10711yescharacteristic, complemented
878#390C22×C10711yescharacteristic
879#390C22×C10711yescharacteristic
880#390C22×C10711yescharacteristic, complemented
881#389C22×C10711yescharacteristic, complemented
882#389C22×C10711yescharacteristic, complemented
883#389C22×C10711yescharacteristic, complemented
884#388C22×C10711yescharacteristic
885#388C22×C10711yescharacteristic
886#388C22×C10711yescharacteristic
887#388C22×C10711yescharacteristic
888#388C22×C10711yescharacteristic
889#388C22×C10711yescharacteristic
890#388C22×C10711yescharacteristic
891#388C22×C10711yescharacteristic
892#388C22×C10711yescharacteristic, complemented
893#388C22×C10711yescharacteristic, complemented
894#388C22×C10711yescharacteristic, complemented
895#388C22×C10711yescharacteristic, complemented
896#388C22×C10711yescharacteristic, complemented
897#388C22×C10711yescharacteristic, complemented
898#388C22×C10711yescharacteristic, complemented
899#387C22×C10711yescharacteristic, complemented
900#387C22×C10711yescharacteristic, complemented
901#387C22×C10711yescharacteristic, complemented
902#387C22×C10711yescharacteristic, complemented
903#387C22×C10711yescharacteristic, complemented
904#387C22×C10711yescharacteristic, complemented
905#387C22×C10711yescharacteristic, complemented
906#387C22×C10711yescharacteristic, complemented
907#387C22×C10711yescharacteristic, complemented
908#386C22×C10711yescharacteristic
909#386C22×C10711yescharacteristic
910#386C22×C10711yescharacteristic
911#386C22×C10711yescharacteristic
912#386C22×C10711yescharacteristic
913#386C22×C10711yescharacteristic
914#386C22×C10711yescharacteristic
915#386C22×C10711yescharacteristic
916#386C22×C10711yescharacteristic
917#386C22×C10711yescharacteristic
918#386C22×C10711yescharacteristic
919#386C22×C10711yescharacteristic
920#386C22×C10711yescharacteristic, complemented
921#385C22×C10711yescharacteristic
922#385C22×C10711yescharacteristic
923#385C22×C10711yescharacteristic
924#385C22×C10711yescharacteristic
925#385C22×C10711yescharacteristic
926#385C22×C10711yescharacteristic
927#385C22×C10711yescharacteristic
928#385C22×C10711yescharacteristic
929#385C22×C10711yescharacteristic
930#385C22×C10711yescharacteristic
931#385C22×C10711yescharacteristic, complemented
932#383C22×C10711yescharacteristic, complemented
933#382C22×C10711yescharacteristic, complemented
934#381C22×C10711yescharacteristic, complemented
935#380C22×C10711yescharacteristic
936#380C22×C10711yescharacteristic
937#380C22×C10711yescharacteristic, complemented
938#379C22×C10711yescharacteristic
939#379C22×C10711yescharacteristic
940C4×C4⋊C4C22×C10711yescharacteristic, complemented
941C4×C4⋊C4C22×C10711yescharacteristic, complemented
942C4×C4⋊C4C22×C10711yescharacteristic, complemented
943C4×C4⋊C4C22×C10711yescharacteristic, complemented
944C4×C4⋊C4C22×C10711yescharacteristic, complemented
945C4×C4⋊C4C22×C10711yescharacteristic, complemented
946C4×C4⋊C4C22×C10711yescharacteristic, complemented
947C4×C4⋊C4C22×C10711yescharacteristic, complemented
948C4×C22⋊C4C22×C10711yescharacteristic
949C4×C22⋊C4C22×C10711yescharacteristic
950C4×C22⋊C4C22×C10711yescharacteristic
951C4×C22⋊C4C22×C10711yescharacteristic
952C4×C22⋊C4C22×C10711yescharacteristic
953C4×C22⋊C4C22×C10711yescharacteristic
954C4×C22⋊C4C22×C10711yescharacteristic
955C4×C22⋊C4C22×C10711yescharacteristic
956C4×C22⋊C4C22×C10711yescharacteristic
957C4×C22⋊C4C22×C10711yescharacteristic
958C4×C22⋊C4C22×C10711yescharacteristic
959C4×C22⋊C4C22×C10711yescharacteristic
960C4×C22⋊C4C22×C10711yescharacteristic
961C4×C22⋊C4C22×C10711yescharacteristic
962C4×C22⋊C4C22×C10711yescharacteristic
963C4×C22⋊C4C22×C10711yescharacteristic
964C4×C22⋊C4C22×C10711yescharacteristic, complemented
965C4×C22⋊C4C22×C10711yescharacteristic, complemented
966C4×C22⋊C4C22×C10711yescharacteristic, complemented
967C4×C22⋊C4C22×C10711yescharacteristic, complemented
968C4×C22⋊C4C22×C10711yescharacteristic, complemented
969C4×C22⋊C4C22×C10711yescharacteristic, complemented
970#376C22×C10711yescharacteristic, complemented
971C2×#95C22×C10711yescharacteristic
972C2×#95C22×C10711yescharacteristic
973C43C22×C10711yescharacteristic, complemented
974C25C23×C10711yescharacteristic
975C22×Q8C23×C10711yescharacteristic
976C22×D4C23×C10711yescharacteristic
977C22×D4C23×C10711yescharacteristic
978C22×D4C23×C10711yescharacteristic
979C22×D4C23×C10711yescharacteristic
980C22×D4C23×C10711yescharacteristic
981C22×D4C23×C10711yescharacteristic
982C22×D4C23×C10711yescharacteristic
983C23×C4—24no—
984C23×C4—42no—
985C23×C4—42no—
986C23×C4C23×C10711yescharacteristic
987C23×C4C23×C10711yescharacteristic
988C23×C4C23×C10711yescharacteristic
989C23×C4C23×C10711yescharacteristic
990C23×C4C23×C10711yescharacteristic
991C23×C4C23×C10711yescharacteristic
992C23×C4C23×C10711yescharacteristic
993C23×C4C23×C10711yescharacteristic
994C23×C4C23×C10711yescharacteristic
995C23×C4C23×C10711yescharacteristic
996C23×C4C23×C10711yescharacteristic
997C23×C4C23×C10711yescharacteristic
998C23×C4C23×C10711yescharacteristic
999C23×C4C23×C10711yescharacteristic
1000#126—24no—
1001#124—24no—
1002#123—24no—
1003C22⋊Q8—24no—
1004#121—24no—
1005#121—24no—
1006#120—24no—
1007#120—24no—
1008C4×Q8—42no—
1009C4×D4—24no—
1010C4×D4—24no—
1011C4×D4—24no—
1012C4×D4—24no—
1013C4×D4—42no—
1014C4×D4—42no—
1015C4×D4—42no—
1016C4×D4—42no—
1017C4×D4—42no—
1018#117—42no—
1019C2×C4⋊C4C23×C10711yescharacteristic
1020C2×C4⋊C4C23×C10711yescharacteristic
1021C2×C4⋊C4C23×C10711yescharacteristic
1022C2×C4⋊C4C23×C10711yescharacteristic
1023C2×C4⋊C4C23×C10711yescharacteristic
1024C2×C4⋊C4C23×C10711yescharacteristic
1025C2×C4⋊C4C23×C10711yescharacteristic
1026C2×C4⋊C4C23×C10711yescharacteristic
1027C2×C4⋊C4C23×C10711yescharacteristic
1028C2×C4⋊C4C23×C10711yescharacteristic
1029C2×C4⋊C4C23×C10711yescharacteristic
1030C2×C4⋊C4C23×C10711yescharacteristic
1031C2×C4⋊C4C23×C10711yescharacteristic
1032C2×C4⋊C4C23×C10711yescharacteristic
1033C2×C4⋊C4C23×C10711yescharacteristic
1034C2×C4⋊C4C23×C10711yescharacteristic
1035C2×C4⋊C4C23×C10711yescharacteristic
1036C2×C4⋊C4C23×C10711yescharacteristic
1037C2×C4⋊C4C23×C10711yescharacteristic
1038C2×C4⋊C4C23×C10711yescharacteristic
1039C2×C4⋊C4C23×C10711yescharacteristic
1040C2×C4⋊C4C23×C10711yescharacteristic
1041C2×C4⋊C4C23×C10711yescharacteristic
1042C2×C4⋊C4C23×C10711yescharacteristic
1043C2×C22⋊C4—24no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4C23×C10711yescharacteristic
1046C2×C22⋊C4C23×C10711yescharacteristic
1047C2×C22⋊C4C23×C10711yescharacteristic
1048C2×C22⋊C4C23×C10711yescharacteristic
1049C2×C22⋊C4C23×C10711yescharacteristic
1050C2×C22⋊C4C23×C10711yescharacteristic
1051C2×C22⋊C4C23×C10711yescharacteristic
1052C2×C22⋊C4C23×C10711yescharacteristic
1053C2×C22⋊C4C23×C10711yescharacteristic
1054C2×C22⋊C4C23×C10711yescharacteristic
1055C2×C22⋊C4C23×C10711yescharacteristic
1056C2×C22⋊C4C23×C10711yescharacteristic
1057C2×C22⋊C4C23×C10711yescharacteristic
1058C2×C22⋊C4C23×C10711yescharacteristic
1059C2×C22⋊C4C23×C10711yescharacteristic
1060C2×C22⋊C4C23×C10711yescharacteristic
1061C2×C22⋊C4C23×C10711yescharacteristic
1062C2×C22⋊C4C23×C10711yescharacteristic
1063C2×C22⋊C4C23×C10711yescharacteristic
1064C2×C22⋊C4C23×C10711yescharacteristic
1065C2×C22⋊C4C23×C10711yescharacteristic
1066C2×C22⋊C4C23×C10711yescharacteristic
1067C2×C22⋊C4C23×C10711yescharacteristic
1068C2×C22⋊C4C23×C10711yescharacteristic
1069C2×C22⋊C4C23×C10711yescharacteristic
1070C2×C22⋊C4C23×C10711yescharacteristic
1071C2×C22⋊C4C23×C10711yescharacteristic
1072C2×C22⋊C4C23×C10711yescharacteristic
1073C2×C22⋊C4C23×C10711yescharacteristic
1074C2×C22⋊C4C23×C10711yescharacteristic
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×C42—42no—
1090C2×C42—42no—
1091C2×C42—42no—
1092C2×C42C23×C10711yescharacteristic
1093C2×C42C23×C10711yescharacteristic
1094C2×C42C23×C10711yescharacteristic
1095C2×C42C23×C10711yescharacteristic
1096C2×C42C23×C10711yescharacteristic
1097C2×C42C23×C10711yescharacteristic
1098C2×C42C23×C10711yescharacteristic
1099C2×C42C23×C10711yescharacteristic
1100C2×C42C23×C10711yescharacteristic
1101C2×C42C23×C10711yescharacteristic
1102C2×C42C23×C10711yescharacteristic
1103C2×C42C23×C10711yescharacteristic
1104C2×C42C23×C10711yescharacteristic
1105C2×C42C23×C10711yescharacteristic
1106C2×C42C23×C10711yescharacteristic
1107C2×C42C23×C10711yescharacteristic
1108C2×C42C23×C10711yescharacteristic
1109C2×C42C23×C10711yescharacteristic
1110C2×C42C23×C10711yescharacteristic
1111C2×C42C23×C10711yescharacteristic
1112#95C23×C10711yescharacteristic
1113#95C23×C10711yescharacteristic
1114#95C23×C10711yescharacteristic
1115#95C23×C10711yescharacteristic
1116#95C23×C10711yescharacteristic
1117#95C23×C10711yescharacteristic
1118#95C23×C10711yescharacteristic
1119#95C23×C10711yescharacteristic
1120#95C23×C10711yescharacteristic
1121#95C23×C10711yescharacteristic
1122#95C23×C10711yescharacteristic
1123#95C23×C10711yescharacteristic
1124#95C23×C10711yescharacteristic
1125#95C23×C10711yescharacteristic
1126#95C23×C10711yescharacteristic
1127#95C23×C10711yescharacteristic
1128#95C23×C10711yescharacteristic
1129#95C23×C10711yescharacteristic
1130#95C23×C10711yescharacteristic
1131#95C23×C10711yescharacteristic
1132#95C23×C10711yescharacteristic
1133#95C23×C10711yescharacteristic
1134#95C23×C10711yescharacteristic
1135#95C23×C10711yescharacteristic
1136#95C23×C10711yescharacteristic
1137#95C23×C10711yescharacteristic
1138#95C23×C10711yescharacteristic
1139#95C23×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
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24C24×C10711yescharacteristic
1164C24C24×C10711yescharacteristic
1165C24C24×C10711yescharacteristic
1166C24C24×C10711yescharacteristic
1167C24C24×C10711yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—22no—
1170C2×Q8—41no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4#41×C10714yes—
1192C22×C4—22no—
1193C22×C4—22no—
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—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
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—416no—
1234C22×C4#41×C10714yes—
1235C22×C4C24×C10711yescharacteristic
1236C22×C4C24×C10711yescharacteristic
1237C22×C4C24×C10711yescharacteristic
1238C22×C4C24×C10711yescharacteristic
1239C22×C4C24×C10711yescharacteristic
1240C22×C4C24×C10711yescharacteristic
1241C22×C4C24×C10711yescharacteristic
1242C22×C4C24×C10711yescharacteristic
1243C22×C4C24×C10711yescharacteristic
1244C22×C4C24×C10711yescharacteristic
1245C22×C4C24×C10711yescharacteristic
1246C22×C4C24×C10711yescharacteristic
1247C22×C4C24×C10711yescharacteristic
1248C22×C4C24×C10711yescharacteristic
1249C22×C4C24×C10711yescharacteristic
1250C22×C4C24×C10711yescharacteristic
1251C22×C4C24×C10711yescharacteristic
1252C22×C4C24×C10711yescharacteristic
1253C22×C4C24×C10711yescharacteristic
1254C22×C4C24×C10711yescharacteristic
1255C22×C4C24×C10711yescharacteristic
1256C22×C4C24×C10711yescharacteristic
1257C22×C4C24×C10711yescharacteristic
1258C22×C4C24×C10711yescharacteristic
1259C22×C4C24×C10711yescharacteristic
1260C22×C4C24×C10711yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—22no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—22no—
1310C22⋊C4—22no—
1311C22⋊C4—22no—
1312C22⋊C4—22no—
1313C22⋊C4—22no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4#41×C10714yes—
1327C22⋊C4#41×C10714yes—
1328C22⋊C4#41×C10714yes—
1329C42—22no—
1330C42—22no—
1331C42—22no—
1332C42—22no—
1333C42—22no—
1334C42—22no—
1335C42—22no—
1336C42—22no—
1337C42—22no—
1338C42—22no—
1339C42—22no—
1340C42—22no—
1341C42—22no—
1342C42—22no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—28no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—44no—
1380C23—44no—
1381C23—44no—
1382C23—44no—
1383C23—44no—
1384C23—44no—
1385C23C2×#41×C10712yes—
1386C23C2×#41×C10712yes—
1387C23C2×#41×C10712yes—
1388C23C2×#41×C10712yes—
1389C23C2×#41×C10712yes—
1390C23C2×#41×C10712yes—
1391C23C25×C10711yescharacteristic
1392Q8—44no—
1393D4—28no—
1394D4—44no—
1395D4—44no—
1396D4—44no—
1397D4—44no—
1398D4—44no—
1399D4—44no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—28no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
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—44no—
1469C2×C4—44no—
1470C2×C4—44no—
1471C2×C4—44no—
1472C2×C4—44no—
1473C2×C4—44no—
1474C2×C4—44no—
1475C2×C4—44no—
1476C2×C4—44no—
1477C2×C4—44no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4C2×#41×C10712yes—
1482C2×C4C2×#41×C10712yes—
1483C2×C4C2×#41×C10712yes—
1484C2×C4C2×#41×C10712yes—
1485C2×C4C2×#41×C10712yes—
1486C2×C4C2×#41×C10712yes—
1487C2×C4C2×#41×C10712yes—
1488C2×C4C2×#41×C10712yes—
1489C2×C4C2×#41×C10712yes—
1490C2×C4H(5,𝔽2)×C10712yes—
1491C2×C4H(5,𝔽2)×C10712yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—22no—
1496C22—22no—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
1507C22—416no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22#529×C10714yes—
1528C22C22×#41×C10711yescharacteristic
1529C22C22×#41×C10711yescharacteristic
1530C22C22×#41×C10711yescharacteristic
1531C22C22×#41×C10711yescharacteristic
1532C22C22×#41×C10711yescharacteristic
1533C22C2×H(5,𝔽2)×C10711yescharacteristic
1534C22C2×H(5,𝔽2)×C10711yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—22no—
1538C4—22no—
1539C4—22no—
1540C4—22no—
1541C4—22no—
1542C4—22no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4#538×C10714yes—
1561C2—24no—
1562C2—42no—
1563C2—42no—
1564C2—42no—
1565C2—81no—
1566C2C2×#529×C10711yescharacteristic
1567C2C107×#344411yescharacteristic
1568C2C2×#538×C10711yescharacteristic
1569C2C107×#348111yescharacteristic
1570C2C107×#348111yescharacteristic
1571C2C107×#348111yescharacteristic
1572C2C107×#348111yescharacteristic
subgroupG/H
centerC22×C4×C107C24
commutator, Frattini, cosocleC23C25×C107
socleC23×C107C25
prime radicalC107×#2424C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2597C2semidirect
2. C107×#2595C2semidirect
3. C107×#2589C2semidirect
4. C107×#2587C2semidirect
5. C107×#2578C2semidirect
6. C107×#2576C2semidirect
7. C107×#2559C2semidirect
8. C107×#2557C2semidirect
9. C107×#2510C2semidirect
10. C107×#2505C2semidirect
11. C107×#2480C2semidirect
12. C107×#2472C2semidirect
13. C107×#2450C2semidirect
14. C107×#2444C2semidirect
16. C107×#2418C2semidirect
17. C107×#2401C2semidirect
18. C107×#2398C2semidirect
19. C107×#2395C2semidirect
20. C107×#2392C2semidirect
21. C4×#126×C107C2semidirect
22. C4×#124×C107C2semidirect
23. C4×C22⋊Q8×C107C2semidirect
24. C4×#123×C107C2semidirect
25. C4×#121×C107C2semidirect
26. C4×#121×C107C2semidirect
27. C4×#120×C107C2semidirect
28. C4×#120×C107C2semidirect
29. C107×#2290C2semidirect
30. C42×D4×C107C2semidirect
31. C2×C4×C22⋊C4×C107C2semidirect
41. C2×C4×Q8×C107C22semidirect
50. C2×C4×D4×C107C22semidirect
51. C2×#117×C107C22semidirect
56. C22×C42×C107C22semidirect
57. #401×C107C22semidirect
58. #400×C107C22semidirect
59. #400×C107C22semidirect
60. #400×C107C22semidirect
61. #400×C107C22semidirect
62. #400×C107C22semidirect
63. #400×C107C22semidirect
65. #398×C107C22semidirect
66. #398×C107C22semidirect
72. #397×C107C22semidirect
73. #397×C107C22semidirect
74. #397×C107C22semidirect
75. #397×C107C22semidirect
78. #396×C107C22semidirect
85. #394×C107C22semidirect
87. #393×C107C22semidirect
89. #391×C107C22semidirect
90. #391×C107C22semidirect
93. #390×C107C22semidirect
94. #389×C107C22semidirect
95. #389×C107C22semidirect
96. #389×C107C22semidirect
105. #388×C107C22semidirect
106. #388×C107C22semidirect
107. #388×C107C22semidirect
108. #388×C107C22semidirect
109. #388×C107C22semidirect
110. #388×C107C22semidirect
111. #388×C107C22semidirect
112. #387×C107C22semidirect
113. #387×C107C22semidirect
114. #387×C107C22semidirect
115. #387×C107C22semidirect
116. #387×C107C22semidirect
117. #387×C107C22semidirect
118. #387×C107C22semidirect
119. #387×C107C22semidirect
120. #387×C107C22semidirect
133. #386×C107C22semidirect
144. #385×C107C22semidirect
145. #383×C107C22semidirect
146. #382×C107C22semidirect
147. #381×C107C22semidirect
150. #380×C107C22semidirect
153. C4×C4⋊C4×C107C22semidirect
154. C4×C4⋊C4×C107C22semidirect
155. C4×C4⋊C4×C107C22semidirect
156. C4×C4⋊C4×C107C22semidirect
157. C4×C4⋊C4×C107C22semidirect
158. C4×C4⋊C4×C107C22semidirect
159. C4×C4⋊C4×C107C22semidirect
160. C4×C4⋊C4×C107C22semidirect
177. C4×C22⋊C4×C107C22semidirect
178. C4×C22⋊C4×C107C22semidirect
179. C4×C22⋊C4×C107C22semidirect
180. C4×C22⋊C4×C107C22semidirect
181. C4×C22⋊C4×C107C22semidirect
182. C4×C22⋊C4×C107C22semidirect
183. #376×C107C22semidirect
186. C43×C107C22semidirect
774. #34959C107direct (N × H)
787. #2597C2×C107semidirect
788. #2595C2×C107semidirect
789. #2589C2×C107semidirect
790. #2587C2×C107semidirect
791. #2578C2×C107semidirect
792. #2576C2×C107semidirect
793. #2559C2×C107semidirect
794. #2557C2×C107semidirect
795. #2510C2×C107semidirect
796. #2505C2×C107semidirect
797. #2480C2×C107semidirect
798. #2472C2×C107semidirect
799. #2450C2×C107semidirect
800. #2444C2×C107semidirect
802. #2418C2×C107semidirect
803. #2401C2×C107semidirect
804. #2398C2×C107semidirect
805. #2395C2×C107semidirect
806. #2392C2×C107semidirect
807. C4×#126C2×C107semidirect
808. C4×#124C2×C107semidirect
809. C4×C22⋊Q8C2×C107semidirect
810. C4×#123C2×C107semidirect
811. C4×#121C2×C107semidirect
812. C4×#121C2×C107semidirect
813. C4×#120C2×C107semidirect
814. C4×#120C2×C107semidirect
815. #2290C2×C107semidirect
816. C42×D4C2×C107semidirect
817. C2×C4×C22⋊C4C2×C107semidirect
818. C107#34959direct (N × H)
828. C2×C4×Q8C22×C107semidirect
837. C2×C4×D4C22×C107semidirect
838. C2×#117C22×C107semidirect
843. C22×C42C22×C107semidirect
844. #401C22×C107semidirect
845. #400C22×C107semidirect
846. #400C22×C107semidirect
847. #400C22×C107semidirect
848. #400C22×C107semidirect
849. #400C22×C107semidirect
850. #400C22×C107semidirect
852. #398C22×C107semidirect
853. #398C22×C107semidirect
859. #397C22×C107semidirect
860. #397C22×C107semidirect
861. #397C22×C107semidirect
862. #397C22×C107semidirect
865. #396C22×C107semidirect
872. #394C22×C107semidirect
874. #393C22×C107semidirect
876. #391C22×C107semidirect
877. #391C22×C107semidirect
880. #390C22×C107semidirect
881. #389C22×C107semidirect
882. #389C22×C107semidirect
883. #389C22×C107semidirect
892. #388C22×C107semidirect
893. #388C22×C107semidirect
894. #388C22×C107semidirect
895. #388C22×C107semidirect
896. #388C22×C107semidirect
897. #388C22×C107semidirect
898. #388C22×C107semidirect
899. #387C22×C107semidirect
900. #387C22×C107semidirect
901. #387C22×C107semidirect
902. #387C22×C107semidirect
903. #387C22×C107semidirect
904. #387C22×C107semidirect
905. #387C22×C107semidirect
906. #387C22×C107semidirect
907. #387C22×C107semidirect
920. #386C22×C107semidirect
931. #385C22×C107semidirect
932. #383C22×C107semidirect
933. #382C22×C107semidirect
934. #381C22×C107semidirect
937. #380C22×C107semidirect
940. C4×C4⋊C4C22×C107semidirect
941. C4×C4⋊C4C22×C107semidirect
942. C4×C4⋊C4C22×C107semidirect
943. C4×C4⋊C4C22×C107semidirect
944. C4×C4⋊C4C22×C107semidirect
945. C4×C4⋊C4C22×C107semidirect
946. C4×C4⋊C4C22×C107semidirect
947. C4×C4⋊C4C22×C107semidirect
964. C4×C22⋊C4C22×C107semidirect
965. C4×C22⋊C4C22×C107semidirect
966. C4×C22⋊C4C22×C107semidirect
967. C4×C22⋊C4C22×C107semidirect
968. C4×C22⋊C4C22×C107semidirect
969. C4×C22⋊C4C22×C107semidirect
970. #376C22×C107semidirect
973. C43C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#25972
C107×#25952
C107×#25892
C107×#25872
C107×#25782
C107×#25762
C107×#25592
C107×#25572
C107×#25102
C107×#25052
C107×#24802
C107×#24722
C107×#24502
C107×#24442
C107×#24242
C107×#24182
C107×#24012
C107×#23982
C107×#23952
C107×#23922
C4×#126×C1072
C4×#124×C1072
C4×C22⋊Q8×C1072
C4×#123×C1072
C4×#121×C1072
C4×#120×C1072
C107×#22902
C42×D4×C1072
C2×C4×C22⋊C4×C1072
#34959107