Finite Group Databasebeta

← C107×#36778 #41062742

Subgroups — C107×#36778 #41062742

Order 27392.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1494 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2849C211yesmaximal, characteristic
2C107×#2848C211yesmaximal, characteristic, complemented
3C107×#2790C211yesmaximal, characteristic, complemented
4C107×#2779C211yesmaximal, characteristic, complemented
5C107×#2770C211yesmaximal, characteristic, complemented
6C107×#2765C211yesmaximal, characteristic, complemented
7C107×#2764C211yesmaximal, characteristic, complemented
8C107×#2763C211yesmaximal, characteristic, complemented
9C107×#2757C211yesmaximal, characteristic, complemented
10C107×#2746C211yesmaximal, characteristic, complemented
11C107×#2739C211yesmaximal, characteristic, complemented
12C107×#2729C211yesmaximal, characteristic, complemented
13C107×#2718C211yesmaximal, characteristic, complemented
14C107×#2717C211yesmaximal, characteristic, complemented
15C107×#2698C211yesmaximal, characteristic, complemented
16C107×#2692C211yesmaximal, characteristic, complemented
17C107×#2687C211yesmaximal, characteristic, complemented
18C107×#2674C211yesmaximal, characteristic, complemented
19C107×#2627C211yesmaximal, characteristic, complemented
20C107×#2623C211yesmaximal, characteristic, complemented
21C107×#2561C211yesmaximal, characteristic, complemented
22C107×#2534C211yesmaximal, characteristic
23C107×#2493C211yesmaximal, characteristic, complemented
24C107×#2488C211yesmaximal, characteristic, complemented
25C107×#2480C211yesmaximal, characteristic, complemented
26C107×#2472C211yesmaximal, characteristic
27C107×#2440C211yesmaximal, characteristic, complemented
28C107×#2417C211yesmaximal, characteristic, complemented
29C107×#2329C211yesmaximal, characteristic, complemented
30C107×#2318C211yesmaximal, characteristic, complemented
31C2×#385×C107C211yesmaximal, characteristic, complemented
32C24×C4×C107C2211yescharacteristic
33C2×C4⋊Q8×C107C2211yescharacteristic, complemented
34C2×#126×C107C2211yescharacteristic
35C2×#124×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×C22⋊Q8×C107C2211yescharacteristic
40C2×C22⋊Q8×C107C2211yescharacteristic
41C2×C22⋊Q8×C107C2211yescharacteristic
42C2×C22⋊Q8×C107C2211yescharacteristic
43C2×C22⋊Q8×C107C2211yescharacteristic
44C2×C22⋊Q8×C107C2211yescharacteristic, complemented
45C2×#120×C107C2211yescharacteristic
46C2×C4×D4×C107C2211yescharacteristic
47C22×C4⋊C4×C107C2211yescharacteristic
48C22×C4⋊C4×C107C2211yescharacteristic
49C22×C22⋊C4×C107C2211yescharacteristic
50C22×C22⋊C4×C107C2211yescharacteristic
51#401×C107C2211yescharacteristic, complemented
52#400×C107C2211yescharacteristic, complemented
53#400×C107C2211yescharacteristic, complemented
54#400×C107C2211yescharacteristic, complemented
55#400×C107C2211yescharacteristic, complemented
56#400×C107C2211yescharacteristic, complemented
57#400×C107C2211yescharacteristic, complemented
58#400×C107C2211yescharacteristic, complemented
59#400×C107C2211yescharacteristic, complemented
60#400×C107C2211yescharacteristic, complemented
61#399×C107C2211yescharacteristic, complemented
62#399×C107C2211yescharacteristic, complemented
63#398×C107C2211yescharacteristic, complemented
64#398×C107C2211yescharacteristic, complemented
65#398×C107C2211yescharacteristic, complemented
66#398×C107C2211yescharacteristic, complemented
67#398×C107C2211yescharacteristic, complemented
68#398×C107C2211yescharacteristic, complemented
69#398×C107C2211yescharacteristic, complemented
70#398×C107C2211yescharacteristic, complemented
71#398×C107C2211yescharacteristic, complemented
72#398×C107C2211yescharacteristic, complemented
73#397×C107C2211yescharacteristic
74#397×C107C2211yescharacteristic
75#397×C107C2211yescharacteristic
76#397×C107C2211yescharacteristic
77#397×C107C2211yescharacteristic
78#397×C107C2211yescharacteristic
79#397×C107C2211yescharacteristic, complemented
80#397×C107C2211yescharacteristic, complemented
81#397×C107C2211yescharacteristic, complemented
82#396×C107C2211yescharacteristic
83#396×C107C2211yescharacteristic
84#396×C107C2211yescharacteristic
85#396×C107C2211yescharacteristic, complemented
86#396×C107C2211yescharacteristic, complemented
87#395×C107C2211yescharacteristic, complemented
88#395×C107C2211yescharacteristic, complemented
89#395×C107C2211yescharacteristic, complemented
90#395×C107C2211yescharacteristic, complemented
91#394×C107C2211yescharacteristic
92#394×C107C2211yescharacteristic
93#394×C107C2211yescharacteristic
94#394×C107C2211yescharacteristic
95#393×C107C2211yescharacteristic
96#393×C107C2211yescharacteristic
97#393×C107C2211yescharacteristic
98#393×C107C2211yescharacteristic, complemented
99#391×C107C2211yescharacteristic, complemented
100#391×C107C2211yescharacteristic, complemented
101#391×C107C2211yescharacteristic, complemented
102#391×C107C2211yescharacteristic, complemented
103#390×C107C2211yescharacteristic
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, complemented
121#388×C107C2211yescharacteristic, complemented
122#388×C107C2211yescharacteristic, complemented
123#388×C107C2211yescharacteristic, complemented
124#387×C107C2211yescharacteristic, complemented
125#387×C107C2211yescharacteristic, complemented
126#387×C107C2211yescharacteristic, complemented
127#387×C107C2211yescharacteristic, complemented
128#387×C107C2211yescharacteristic, complemented
129#387×C107C2211yescharacteristic, complemented
130#387×C107C2211yescharacteristic, complemented
131#387×C107C2211yescharacteristic, complemented
132#387×C107C2211yescharacteristic, complemented
133#386×C107C2211yescharacteristic
134#386×C107C2211yescharacteristic
135#386×C107C2211yescharacteristic
136#386×C107C2211yescharacteristic
137#386×C107C2211yescharacteristic
138#386×C107C2211yescharacteristic
139#386×C107C2211yescharacteristic
140#386×C107C2211yescharacteristic
141#385×C107C2211yescharacteristic
142#385×C107C2211yescharacteristic
143#385×C107C2211yescharacteristic
144#385×C107C2211yescharacteristic
145#385×C107C2211yescharacteristic
146#385×C107C2211yescharacteristic
147#385×C107C2211yescharacteristic
148#385×C107C2211yescharacteristic
149#385×C107C2211yescharacteristic
150#385×C107C2211yescharacteristic
151#385×C107C2211yescharacteristic
152#385×C107C2211yescharacteristic
153#385×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#384×C107C2211yescharacteristic, complemented
162#383×C107C2211yescharacteristic, complemented
163#383×C107C2211yescharacteristic, complemented
164#382×C107C2211yescharacteristic, complemented
165#382×C107C2211yescharacteristic, complemented
166#381×C107C2211yescharacteristic
167#381×C107C2211yescharacteristic
168#381×C107C2211yescharacteristic
169#381×C107C2211yescharacteristic
170#381×C107C2211yescharacteristic
171#381×C107C2211yescharacteristic, complemented
172#380×C107C2211yescharacteristic
173#380×C107C2211yescharacteristic
174#380×C107C2211yescharacteristic
175#380×C107C2211yescharacteristic
176#380×C107C2211yescharacteristic
177#380×C107C2211yescharacteristic, complemented
178#380×C107C2211yescharacteristic, complemented
179#379×C107C2211yescharacteristic
180#379×C107C2211yescharacteristic
181#379×C107C2211yescharacteristic
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C2×#95×C107C2211yescharacteristic
186C2×#95×C107C2211yescharacteristic
187C25×C107C2311yescharacteristic
188C22×Q8×C107C2311yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C22×Q8×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C23×C4×C107—42no—
195C23×C4×C107—42no—
196C23×C4×C107—42no—
197C23×C4×C107C2311yescharacteristic
198C23×C4×C107C2311yescharacteristic
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
208C4⋊Q8×C107—42no—
209#126×C107—42no—
210#124×C107—42no—
211#123×C107—42no—
212#123×C107—42no—
213#123×C107—42no—
214C22⋊Q8×C107—24no—
215C22⋊Q8×C107—42no—
216C22⋊Q8×C107—42no—
217C22⋊Q8×C107—42no—
218C22⋊Q8×C107—42no—
219C22⋊Q8×C107—42no—
220#120×C107—42no—
221C4×D4×C107—24no—
222C2×C4⋊C4×C107—42no—
223C2×C4⋊C4×C107—42no—
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×C4⋊C4×C107C2311yescharacteristic
251C2×C4⋊C4×C107C2311yescharacteristic
252C2×C4⋊C4×C107C2311yescharacteristic
253C2×C4⋊C4×C107C2311yescharacteristic
254C2×C4⋊C4×C107C2311yescharacteristic
255C2×C4⋊C4×C107C2311yescharacteristic
256C2×C4⋊C4×C107C2311yescharacteristic
257C2×C4⋊C4×C107C2311yescharacteristic
258C2×C4⋊C4×C107C2311yescharacteristic
259C2×C4⋊C4×C107C2311yescharacteristic
260C2×C4⋊C4×C107C2311yescharacteristic
261C2×C4⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107—24no—
263C2×C22⋊C4×C107—42no—
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C42×C107C2311yescharacteristic
305C2×C42×C107C2311yescharacteristic
306C2×C42×C107C2311yescharacteristic
307C2×C42×C107C2311yescharacteristic
308C2×C42×C107C2311yescharacteristic
309C2×C42×C107C2311yescharacteristic
310C2×C42×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
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363C24×C107—22no—
364C24×C107—22no—
365C24×C107—22no—
366C24×C107—22no—
367C24×C107—22no—
368C24×C107—41no—
369C24×C107—41no—
370C24×C107C2411yescharacteristic
371C24×C107C2411yescharacteristic
372C24×C107C2411yescharacteristic
373C24×C107C2411yescharacteristic
374C2×Q8×C107—22no—
375C2×Q8×C107—22no—
376C2×Q8×C107—41no—
377C2×Q8×C107—41no—
378C2×Q8×C107—41no—
379C2×Q8×C107—41no—
380C2×Q8×C107—41no—
381C2×Q8×C107—41no—
382C2×Q8×C107—41no—
383C2×D4×C107—22no—
384C2×D4×C107—22no—
385C2×D4×C107—22no—
386C2×D4×C107—22no—
387C2×D4×C107—22no—
388C2×D4×C107—41no—
389C2×D4×C107—41no—
390C2×D4×C107—41no—
391C2×D4×C107—41no—
392C22×C4×C107—22no—
393C22×C4×C107—22no—
394C22×C4×C107—22no—
395C22×C4×C107—22no—
396C22×C4×C107—22no—
397C22×C4×C107—22no—
398C22×C4×C107—22no—
399C22×C4×C107—22no—
400C22×C4×C107—22no—
401C22×C4×C107—22no—
402C22×C4×C107—22no—
403C22×C4×C107—22no—
404C22×C4×C107—22no—
405C22×C4×C107—41no—
406C22×C4×C107—41no—
407C22×C4×C107—41no—
408C22×C4×C107—41no—
409C22×C4×C107—41no—
410C22×C4×C107—41no—
411C22×C4×C107—41no—
412C22×C4×C107—41no—
413C22×C4×C107—41no—
414C22×C4×C107—41no—
415C22×C4×C107—41no—
416C22×C4×C107—41no—
417C22×C4×C107—41no—
418C22×C4×C107—41no—
419C22×C4×C107—41no—
420C22×C4×C107—41no—
421C22×C4×C107—41no—
422C22×C4×C107—41no—
423C22×C4×C107—41no—
424C22×C4×C107—416no—
425C22×C4×C107#4114yes—
426C22×C4×C107C2411yescharacteristic
427C22×C4×C107C2411yescharacteristic
428C22×C4×C107C2411yescharacteristic
429C22×C4×C107C2411yescharacteristic
430C22×C4×C107C2411yescharacteristic
431C22×C4×C107C2411yescharacteristic
432C22×C4×C107C2411yescharacteristic
433C22×C4×C107C2411yescharacteristic
434C22×C4×C107C2411yescharacteristic
435C22×C4×C107C2411yescharacteristic
436C22×C4×C107C2411yescharacteristic
437C22×C4×C107C2411yescharacteristic
438C22×C4×C107C2411yescharacteristic
439C22×C4×C107C2411yescharacteristic
440C22×C4×C107C2411yescharacteristic
441C22×C4×C107C2411yescharacteristic
442C22×C4×C107C2411yescharacteristic
443C22×C4×C107C2411yescharacteristic
444C22×C4×C107C2411yescharacteristic
445C22×C4×C107C2411yescharacteristic
446C22×C4×C107C2411yescharacteristic
447C22×C4×C107C2411yescharacteristic
448C22×C4×C107C2411yescharacteristic
449C22×C4×C107C2411yescharacteristic
450C22×C4×C107C2411yescharacteristic
451C22×C4×C107C2411yescharacteristic
452C22×C4×C107C2411yescharacteristic
453C4⋊C4×C107—22no—
454C4⋊C4×C107—22no—
455C4⋊C4×C107—22no—
456C4⋊C4×C107—22no—
457C4⋊C4×C107—22no—
458C4⋊C4×C107—22no—
459C4⋊C4×C107—22no—
460C4⋊C4×C107—22no—
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—
468C4⋊C4×C107—41no—
469C4⋊C4×C107—41no—
470C4⋊C4×C107—41no—
471C4⋊C4×C107—41no—
472C4⋊C4×C107—41no—
473C4⋊C4×C107—41no—
474C4⋊C4×C107—41no—
475C4⋊C4×C107—41no—
476C4⋊C4×C107—41no—
477C4⋊C4×C107—41no—
478C4⋊C4×C107—41no—
479C4⋊C4×C107—41no—
480C4⋊C4×C107—41no—
481C4⋊C4×C107—41no—
482C4⋊C4×C107—41no—
483C4⋊C4×C107—41no—
484C4⋊C4×C107—41no—
485C4⋊C4×C107—41no—
486C4⋊C4×C107—41no—
487C4⋊C4×C107—41no—
488C4⋊C4×C107—41no—
489C4⋊C4×C107—41no—
490C4⋊C4×C107—41no—
491C22⋊C4×C107—22no—
492C22⋊C4×C107—22no—
493C22⋊C4×C107—22no—
494C22⋊C4×C107—22no—
495C22⋊C4×C107—22no—
496C22⋊C4×C107—22no—
497C22⋊C4×C107—22no—
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—41no—
513C22⋊C4×C107—41no—
514C22⋊C4×C107—41no—
515C22⋊C4×C107—41no—
516C22⋊C4×C107—41no—
517C22⋊C4×C107—41no—
518C22⋊C4×C107—41no—
519C22⋊C4×C107—41no—
520C22⋊C4×C107—41no—
521C22⋊C4×C107—41no—
522C22⋊C4×C107—41no—
523C22⋊C4×C107—41no—
524C22⋊C4×C107—41no—
525C22⋊C4×C107—41no—
526C22⋊C4×C107—41no—
527C22⋊C4×C107—41no—
528C22⋊C4×C107—41no—
529C22⋊C4×C107—41no—
530C22⋊C4×C107—41no—
531C42×C107—22no—
532C42×C107—41no—
533C42×C107—41no—
534C42×C107—41no—
535C42×C107—41no—
536C42×C107—41no—
537C42×C107—41no—
538C23×C107—21no—
539C23×C107—21no—
540C23×C107—21no—
541C23×C107—21no—
542C23×C107—28no—
543C23×C107—21no—
544C23×C107—21no—
545C23×C107—21no—
546C23×C107—21no—
547C23×C107—21no—
548C23×C107—21no—
549C23×C107—21no—
550C23×C107—21no—
551C23×C107—21no—
552C23×C107—21no—
553C23×C107—21no—
554C23×C107—21no—
555C23×C107—21no—
556C23×C107—21no—
557C23×C107—21no—
558C23×C107—21no—
559C23×C107—21no—
560C23×C107—21no—
561C23×C107—21no—
562C23×C107—44no—
563C23×C107—44no—
564C23×C107—44no—
565C23×C107—44no—
566C23×C107—44no—
567C23×C107—44no—
568C23×C107C2×#4112yes—
569C23×C107H(5,𝔽2)12yes—
570C23×C107H(5,𝔽2)12yes—
571C23×C1072−1+412yes—
572C23×C1072−1+412yes—
573C23×C107C2511yescharacteristic
574Q8×C107—82no—
575Q8×C107—82no—
576Q8×C107—82no—
577D4×C107—44no—
578D4×C107—82no—
579D4×C107—82no—
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—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—44no—
659C2×C4×C107—44no—
660C2×C4×C107—44no—
661C2×C4×C107—44no—
662C2×C4×C107—44no—
663C2×C4×C107—44no—
664C2×C4×C107—44no—
665C2×C4×C107—44no—
666C2×C4×C107—82no—
667C2×C4×C107—82no—
668C2×C4×C107—82no—
669C2×C4×C107C2×#4112yes—
670C2×C4×C107C2×#4112yes—
671C2×C4×C107H(5,𝔽2)12yes—
672C22×C107—22no—
673C22×C107—22no—
674C22×C107—22no—
675C22×C107—22no—
676C22×C107—22no—
677C22×C107—22no—
678C22×C107—22no—
679C22×C107—22no—
680C22×C107—22no—
681C22×C107—22no—
682C22×C107—22no—
683C22×C107—22no—
684C22×C107—416no—
685C22×C107—41no—
686C22×C107—41no—
687C22×C107—41no—
688C22×C107—41no—
689C22×C107—41no—
690C22×C107—41no—
691C22×C107—41no—
692C22×C107—41no—
693C22×C107—41no—
694C22×C107—41no—
695C22×C107—41no—
696C22×C107—41no—
697C22×C107—41no—
698C22×C107—41no—
699C22×C107—41no—
700C22×C107#54214yes—
701C22×C107C22×#4111yescharacteristic
702C22×C107C2×H(5,𝔽2)11yescharacteristic
703C22×C107C2×H(5,𝔽2)11yescharacteristic
704C22×C107C2×H(5,𝔽2)11yescharacteristic
705C22×C107C2×2−1+411yescharacteristic
706C22×C107C2×2−1+411yescharacteristic
707C22×C107#58511yescharacteristic
708C4×C107—22no—
709C4×C107—22no—
710C4×C107—22no—
711C4×C107—41no—
712C4×C107—41no—
713C4×C107—41no—
714C4×C107—41no—
715C4×C107—41no—
716C4×C107—41no—
717C4×C107—41no—
718C4×C107—41no—
719C4×C107—41no—
720C4×C107—41no—
721C4×C107—41no—
722C4×C107—41no—
723C4×C107—41no—
724C4×C107—41no—
725C4×C107—41no—
726C4×C107—41no—
727C4×C107—41no—
728C4×C107—41no—
729C4×C107—41no—
730C4×C107—41no—
731C4×C107—41no—
732C4×C107—41no—
733C4×C107—41no—
734C4×C107—41no—
735#36778C10711yesmaximal, characteristic, direct product factor, Sylow
736C2×C107—24no—
737C2×C107—42no—
738C2×C107—42no—
739C2×C107—81no—
740C2×C107C2×#54211yescharacteristic
741C2×C107#349211yescharacteristic
742C2×C107#350511yescharacteristic
743C2×C107#353211yescharacteristic
744C2×C107#353511yescharacteristic
745C2×C107#353511yescharacteristic
746C2×C107#353811yescharacteristic
747#2849C2×C10711yescharacteristic
748#2848C2×C10711yescharacteristic, complemented
749#2790C2×C10711yescharacteristic, complemented
750#2779C2×C10711yescharacteristic, complemented
751#2770C2×C10711yescharacteristic, complemented
752#2765C2×C10711yescharacteristic, complemented
753#2764C2×C10711yescharacteristic, complemented
754#2763C2×C10711yescharacteristic, complemented
755#2757C2×C10711yescharacteristic, complemented
756#2746C2×C10711yescharacteristic, complemented
757#2739C2×C10711yescharacteristic, complemented
758#2729C2×C10711yescharacteristic, complemented
759#2718C2×C10711yescharacteristic, complemented
760#2717C2×C10711yescharacteristic, complemented
761#2698C2×C10711yescharacteristic, complemented
762#2692C2×C10711yescharacteristic, complemented
763#2687C2×C10711yescharacteristic, complemented
764#2674C2×C10711yescharacteristic, complemented
765#2627C2×C10711yescharacteristic, complemented
766#2623C2×C10711yescharacteristic, complemented
767#2561C2×C10711yescharacteristic, complemented
768#2534C2×C10711yescharacteristic
769#2493C2×C10711yescharacteristic, complemented
770#2488C2×C10711yescharacteristic, complemented
771#2480C2×C10711yescharacteristic, complemented
772#2472C2×C10711yescharacteristic
773#2440C2×C10711yescharacteristic, complemented
774#2417C2×C10711yescharacteristic, complemented
775#2329C2×C10711yescharacteristic, complemented
776#2318C2×C10711yescharacteristic, complemented
777C2×#385C2×C10711yescharacteristic, complemented
778C107#3677811yescharacteristic, direct product factor, Sylow
779C24×C4C22×C10711yescharacteristic
780C2×C4⋊Q8C22×C10711yescharacteristic, complemented
781C2×#126C22×C10711yescharacteristic
782C2×#124C22×C10711yescharacteristic
783C2×#123C22×C10711yescharacteristic
784C2×#123C22×C10711yescharacteristic
785C2×#123C22×C10711yescharacteristic
786C2×C22⋊Q8C22×C10711yescharacteristic
787C2×C22⋊Q8C22×C10711yescharacteristic
788C2×C22⋊Q8C22×C10711yescharacteristic
789C2×C22⋊Q8C22×C10711yescharacteristic
790C2×C22⋊Q8C22×C10711yescharacteristic
791C2×C22⋊Q8C22×C10711yescharacteristic, complemented
792C2×#120C22×C10711yescharacteristic
793C2×C4×D4C22×C10711yescharacteristic
794C22×C4⋊C4C22×C10711yescharacteristic
795C22×C4⋊C4C22×C10711yescharacteristic
796C22×C22⋊C4C22×C10711yescharacteristic
797C22×C22⋊C4C22×C10711yescharacteristic
798#401C22×C10711yescharacteristic, complemented
799#400C22×C10711yescharacteristic, complemented
800#400C22×C10711yescharacteristic, complemented
801#400C22×C10711yescharacteristic, complemented
802#400C22×C10711yescharacteristic, complemented
803#400C22×C10711yescharacteristic, complemented
804#400C22×C10711yescharacteristic, complemented
805#400C22×C10711yescharacteristic, complemented
806#400C22×C10711yescharacteristic, complemented
807#400C22×C10711yescharacteristic, complemented
808#399C22×C10711yescharacteristic, complemented
809#399C22×C10711yescharacteristic, complemented
810#398C22×C10711yescharacteristic, complemented
811#398C22×C10711yescharacteristic, complemented
812#398C22×C10711yescharacteristic, complemented
813#398C22×C10711yescharacteristic, complemented
814#398C22×C10711yescharacteristic, complemented
815#398C22×C10711yescharacteristic, complemented
816#398C22×C10711yescharacteristic, complemented
817#398C22×C10711yescharacteristic, complemented
818#398C22×C10711yescharacteristic, complemented
819#398C22×C10711yescharacteristic, complemented
820#397C22×C10711yescharacteristic
821#397C22×C10711yescharacteristic
822#397C22×C10711yescharacteristic
823#397C22×C10711yescharacteristic
824#397C22×C10711yescharacteristic
825#397C22×C10711yescharacteristic
826#397C22×C10711yescharacteristic, complemented
827#397C22×C10711yescharacteristic, complemented
828#397C22×C10711yescharacteristic, complemented
829#396C22×C10711yescharacteristic
830#396C22×C10711yescharacteristic
831#396C22×C10711yescharacteristic
832#396C22×C10711yescharacteristic, complemented
833#396C22×C10711yescharacteristic, complemented
834#395C22×C10711yescharacteristic, complemented
835#395C22×C10711yescharacteristic, complemented
836#395C22×C10711yescharacteristic, complemented
837#395C22×C10711yescharacteristic, complemented
838#394C22×C10711yescharacteristic
839#394C22×C10711yescharacteristic
840#394C22×C10711yescharacteristic
841#394C22×C10711yescharacteristic
842#393C22×C10711yescharacteristic
843#393C22×C10711yescharacteristic
844#393C22×C10711yescharacteristic
845#393C22×C10711yescharacteristic, complemented
846#391C22×C10711yescharacteristic, complemented
847#391C22×C10711yescharacteristic, complemented
848#391C22×C10711yescharacteristic, complemented
849#391C22×C10711yescharacteristic, complemented
850#390C22×C10711yescharacteristic
851#389C22×C10711yescharacteristic, complemented
852#389C22×C10711yescharacteristic, complemented
853#389C22×C10711yescharacteristic, complemented
854#389C22×C10711yescharacteristic, complemented
855#389C22×C10711yescharacteristic, complemented
856#388C22×C10711yescharacteristic
857#388C22×C10711yescharacteristic
858#388C22×C10711yescharacteristic
859#388C22×C10711yescharacteristic
860#388C22×C10711yescharacteristic
861#388C22×C10711yescharacteristic
862#388C22×C10711yescharacteristic
863#388C22×C10711yescharacteristic
864#388C22×C10711yescharacteristic
865#388C22×C10711yescharacteristic
866#388C22×C10711yescharacteristic
867#388C22×C10711yescharacteristic, complemented
868#388C22×C10711yescharacteristic, complemented
869#388C22×C10711yescharacteristic, complemented
870#388C22×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#387C22×C10711yescharacteristic, complemented
878#387C22×C10711yescharacteristic, complemented
879#387C22×C10711yescharacteristic, complemented
880#386C22×C10711yescharacteristic
881#386C22×C10711yescharacteristic
882#386C22×C10711yescharacteristic
883#386C22×C10711yescharacteristic
884#386C22×C10711yescharacteristic
885#386C22×C10711yescharacteristic
886#386C22×C10711yescharacteristic
887#386C22×C10711yescharacteristic
888#385C22×C10711yescharacteristic
889#385C22×C10711yescharacteristic
890#385C22×C10711yescharacteristic
891#385C22×C10711yescharacteristic
892#385C22×C10711yescharacteristic
893#385C22×C10711yescharacteristic
894#385C22×C10711yescharacteristic
895#385C22×C10711yescharacteristic
896#385C22×C10711yescharacteristic
897#385C22×C10711yescharacteristic
898#385C22×C10711yescharacteristic
899#385C22×C10711yescharacteristic
900#385C22×C10711yescharacteristic
901#385C22×C10711yescharacteristic
902#385C22×C10711yescharacteristic
903#385C22×C10711yescharacteristic
904#385C22×C10711yescharacteristic
905#385C22×C10711yescharacteristic
906#385C22×C10711yescharacteristic
907#385C22×C10711yescharacteristic
908#384C22×C10711yescharacteristic, complemented
909#383C22×C10711yescharacteristic, complemented
910#383C22×C10711yescharacteristic, complemented
911#382C22×C10711yescharacteristic, complemented
912#382C22×C10711yescharacteristic, complemented
913#381C22×C10711yescharacteristic
914#381C22×C10711yescharacteristic
915#381C22×C10711yescharacteristic
916#381C22×C10711yescharacteristic
917#381C22×C10711yescharacteristic
918#381C22×C10711yescharacteristic, complemented
919#380C22×C10711yescharacteristic
920#380C22×C10711yescharacteristic
921#380C22×C10711yescharacteristic
922#380C22×C10711yescharacteristic
923#380C22×C10711yescharacteristic
924#380C22×C10711yescharacteristic, complemented
925#380C22×C10711yescharacteristic, complemented
926#379C22×C10711yescharacteristic
927#379C22×C10711yescharacteristic
928#379C22×C10711yescharacteristic
929C4×C22⋊C4C22×C10711yescharacteristic
930C4×C22⋊C4C22×C10711yescharacteristic
931C4×C22⋊C4C22×C10711yescharacteristic
932C2×#95C22×C10711yescharacteristic
933C2×#95C22×C10711yescharacteristic
934C25C23×C10711yescharacteristic
935C22×Q8C23×C10711yescharacteristic
936C22×Q8C23×C10711yescharacteristic
937C22×Q8C23×C10711yescharacteristic
938C22×D4C23×C10711yescharacteristic
939C22×D4C23×C10711yescharacteristic
940C22×D4C23×C10711yescharacteristic
941C23×C4—42no—
942C23×C4—42no—
943C23×C4—42no—
944C23×C4C23×C10711yescharacteristic
945C23×C4C23×C10711yescharacteristic
946C23×C4C23×C10711yescharacteristic
947C23×C4C23×C10711yescharacteristic
948C23×C4C23×C10711yescharacteristic
949C23×C4C23×C10711yescharacteristic
950C23×C4C23×C10711yescharacteristic
951C23×C4C23×C10711yescharacteristic
952C23×C4C23×C10711yescharacteristic
953C23×C4C23×C10711yescharacteristic
954C23×C4C23×C10711yescharacteristic
955C4⋊Q8—42no—
956#126—42no—
957#124—42no—
958#123—42no—
959#123—42no—
960#123—42no—
961C22⋊Q8—24no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967#120—42no—
968C4×D4—24no—
969C2×C4⋊C4—42no—
970C2×C4⋊C4—42no—
971C2×C4⋊C4C23×C10711yescharacteristic
972C2×C4⋊C4C23×C10711yescharacteristic
973C2×C4⋊C4C23×C10711yescharacteristic
974C2×C4⋊C4C23×C10711yescharacteristic
975C2×C4⋊C4C23×C10711yescharacteristic
976C2×C4⋊C4C23×C10711yescharacteristic
977C2×C4⋊C4C23×C10711yescharacteristic
978C2×C4⋊C4C23×C10711yescharacteristic
979C2×C4⋊C4C23×C10711yescharacteristic
980C2×C4⋊C4C23×C10711yescharacteristic
981C2×C4⋊C4C23×C10711yescharacteristic
982C2×C4⋊C4C23×C10711yescharacteristic
983C2×C4⋊C4C23×C10711yescharacteristic
984C2×C4⋊C4C23×C10711yescharacteristic
985C2×C4⋊C4C23×C10711yescharacteristic
986C2×C4⋊C4C23×C10711yescharacteristic
987C2×C4⋊C4C23×C10711yescharacteristic
988C2×C4⋊C4C23×C10711yescharacteristic
989C2×C4⋊C4C23×C10711yescharacteristic
990C2×C4⋊C4C23×C10711yescharacteristic
991C2×C4⋊C4C23×C10711yescharacteristic
992C2×C4⋊C4C23×C10711yescharacteristic
993C2×C4⋊C4C23×C10711yescharacteristic
994C2×C4⋊C4C23×C10711yescharacteristic
995C2×C4⋊C4C23×C10711yescharacteristic
996C2×C4⋊C4C23×C10711yescharacteristic
997C2×C4⋊C4C23×C10711yescharacteristic
998C2×C4⋊C4C23×C10711yescharacteristic
999C2×C4⋊C4C23×C10711yescharacteristic
1000C2×C4⋊C4C23×C10711yescharacteristic
1001C2×C4⋊C4C23×C10711yescharacteristic
1002C2×C4⋊C4C23×C10711yescharacteristic
1003C2×C4⋊C4C23×C10711yescharacteristic
1004C2×C4⋊C4C23×C10711yescharacteristic
1005C2×C4⋊C4C23×C10711yescharacteristic
1006C2×C4⋊C4C23×C10711yescharacteristic
1007C2×C4⋊C4C23×C10711yescharacteristic
1008C2×C4⋊C4C23×C10711yescharacteristic
1009C2×C22⋊C4—24no—
1010C2×C22⋊C4—42no—
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×C22⋊C4C23×C10711yescharacteristic
1024C2×C22⋊C4C23×C10711yescharacteristic
1025C2×C22⋊C4C23×C10711yescharacteristic
1026C2×C22⋊C4C23×C10711yescharacteristic
1027C2×C22⋊C4C23×C10711yescharacteristic
1028C2×C22⋊C4C23×C10711yescharacteristic
1029C2×C22⋊C4C23×C10711yescharacteristic
1030C2×C22⋊C4C23×C10711yescharacteristic
1031C2×C22⋊C4C23×C10711yescharacteristic
1032C2×C22⋊C4C23×C10711yescharacteristic
1033C2×C22⋊C4C23×C10711yescharacteristic
1034C2×C22⋊C4C23×C10711yescharacteristic
1035C2×C22⋊C4C23×C10711yescharacteristic
1036C2×C22⋊C4C23×C10711yescharacteristic
1037C2×C22⋊C4C23×C10711yescharacteristic
1038C2×C22⋊C4C23×C10711yescharacteristic
1039C2×C22⋊C4C23×C10711yescharacteristic
1040C2×C22⋊C4C23×C10711yescharacteristic
1041C2×C22⋊C4C23×C10711yescharacteristic
1042C2×C22⋊C4C23×C10711yescharacteristic
1043C2×C22⋊C4C23×C10711yescharacteristic
1044C2×C22⋊C4C23×C10711yescharacteristic
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×C42C23×C10711yescharacteristic
1052C2×C42C23×C10711yescharacteristic
1053C2×C42C23×C10711yescharacteristic
1054C2×C42C23×C10711yescharacteristic
1055C2×C42C23×C10711yescharacteristic
1056C2×C42C23×C10711yescharacteristic
1057C2×C42C23×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
1083#95C23×C10711yescharacteristic
1084#95C23×C10711yescharacteristic
1085#95C23×C10711yescharacteristic
1086#95C23×C10711yescharacteristic
1087#95C23×C10711yescharacteristic
1088#95C23×C10711yescharacteristic
1089#95C23×C10711yescharacteristic
1090#95C23×C10711yescharacteristic
1091#95C23×C10711yescharacteristic
1092#95C23×C10711yescharacteristic
1093#95C23×C10711yescharacteristic
1094#95C23×C10711yescharacteristic
1095#95C23×C10711yescharacteristic
1096#95C23×C10711yescharacteristic
1097#95C23×C10711yescharacteristic
1098#95C23×C10711yescharacteristic
1099#95C23×C10711yescharacteristic
1100#95C23×C10711yescharacteristic
1101#95C23×C10711yescharacteristic
1102#95C23×C10711yescharacteristic
1103#95C23×C10711yescharacteristic
1104#95C23×C10711yescharacteristic
1105#95C23×C10711yescharacteristic
1106#95C23×C10711yescharacteristic
1107#95C23×C10711yescharacteristic
1108#95C23×C10711yescharacteristic
1109#95C23×C10711yescharacteristic
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—22no—
1114C24—22no—
1115C24—41no—
1116C24—41no—
1117C24C24×C10711yescharacteristic
1118C24C24×C10711yescharacteristic
1119C24C24×C10711yescharacteristic
1120C24C24×C10711yescharacteristic
1121C2×Q8—22no—
1122C2×Q8—22no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×Q8—41no—
1127C2×Q8—41no—
1128C2×Q8—41no—
1129C2×Q8—41no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—416no—
1172C22×C4#41×C10714yes—
1173C22×C4C24×C10711yescharacteristic
1174C22×C4C24×C10711yescharacteristic
1175C22×C4C24×C10711yescharacteristic
1176C22×C4C24×C10711yescharacteristic
1177C22×C4C24×C10711yescharacteristic
1178C22×C4C24×C10711yescharacteristic
1179C22×C4C24×C10711yescharacteristic
1180C22×C4C24×C10711yescharacteristic
1181C22×C4C24×C10711yescharacteristic
1182C22×C4C24×C10711yescharacteristic
1183C22×C4C24×C10711yescharacteristic
1184C22×C4C24×C10711yescharacteristic
1185C22×C4C24×C10711yescharacteristic
1186C22×C4C24×C10711yescharacteristic
1187C22×C4C24×C10711yescharacteristic
1188C22×C4C24×C10711yescharacteristic
1189C22×C4C24×C10711yescharacteristic
1190C22×C4C24×C10711yescharacteristic
1191C22×C4C24×C10711yescharacteristic
1192C22×C4C24×C10711yescharacteristic
1193C22×C4C24×C10711yescharacteristic
1194C22×C4C24×C10711yescharacteristic
1195C22×C4C24×C10711yescharacteristic
1196C22×C4C24×C10711yescharacteristic
1197C22×C4C24×C10711yescharacteristic
1198C22×C4C24×C10711yescharacteristic
1199C22×C4C24×C10711yescharacteristic
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—22no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C4⋊C4—41no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C42—22no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—28no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—44no—
1310C23—44no—
1311C23—44no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23C2×#41×C10712yes—
1316C23H(5,𝔽2)×C10712yes—
1317C23H(5,𝔽2)×C10712yes—
1318C232−1+4×C10712yes—
1319C232−1+4×C10712yes—
1320C23C25×C10711yescharacteristic
1321Q8—82no—
1322Q8—82no—
1323Q8—82no—
1324D4—44no—
1325D4—82no—
1326D4—82no—
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—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4—82no—
1416C2×C4C2×#41×C10712yes—
1417C2×C4C2×#41×C10712yes—
1418C2×C4H(5,𝔽2)×C10712yes—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—22no—
1430C22—22no—
1431C22—416no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22#542×C10714yes—
1448C22C22×#41×C10711yescharacteristic
1449C22C2×H(5,𝔽2)×C10711yescharacteristic
1450C22C2×H(5,𝔽2)×C10711yescharacteristic
1451C22C2×H(5,𝔽2)×C10711yescharacteristic
1452C22C2×2−1+4×C10711yescharacteristic
1453C22C2×2−1+4×C10711yescharacteristic
1454C22#585×C10711yescharacteristic
1455C4—22no—
1456C4—22no—
1457C4—22no—
1458C4—41no—
1459C4—41no—
1460C4—41no—
1461C4—41no—
1462C4—41no—
1463C4—41no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C2—24no—
1483C2—42no—
1484C2—42no—
1485C2—81no—
1486C2C2×#542×C10711yescharacteristic
1487C2C107×#349211yescharacteristic
1488C2C107×#350511yescharacteristic
1489C2C107×#353211yescharacteristic
1490C2C107×#353511yescharacteristic
1491C2C107×#353511yescharacteristic
1492C2C107×#353811yescharacteristic
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
2. C107×#2848C2semidirect
3. C107×#2790C2semidirect
4. C107×#2779C2semidirect
5. C107×#2770C2semidirect
6. C107×#2765C2semidirect
7. C107×#2764C2semidirect
8. C107×#2763C2semidirect
9. C107×#2757C2semidirect
10. C107×#2746C2semidirect
11. C107×#2739C2semidirect
12. C107×#2729C2semidirect
13. C107×#2718C2semidirect
14. C107×#2717C2semidirect
15. C107×#2698C2semidirect
16. C107×#2692C2semidirect
17. C107×#2687C2semidirect
18. C107×#2674C2semidirect
19. C107×#2627C2semidirect
20. C107×#2623C2semidirect
21. C107×#2561C2semidirect
23. C107×#2493C2semidirect
24. C107×#2488C2semidirect
25. C107×#2480C2semidirect
27. C107×#2440C2semidirect
28. C107×#2417C2semidirect
29. C107×#2329C2semidirect
30. C107×#2318C2semidirect
31. C2×#385×C107C2semidirect
33. C2×C4⋊Q8×C107C22semidirect
44. C2×C22⋊Q8×C107C22semidirect
51. #401×C107C22semidirect
52. #400×C107C22semidirect
53. #400×C107C22semidirect
54. #400×C107C22semidirect
55. #400×C107C22semidirect
56. #400×C107C22semidirect
57. #400×C107C22semidirect
58. #400×C107C22semidirect
59. #400×C107C22semidirect
60. #400×C107C22semidirect
61. #399×C107C22semidirect
62. #399×C107C22semidirect
63. #398×C107C22semidirect
64. #398×C107C22semidirect
65. #398×C107C22semidirect
66. #398×C107C22semidirect
67. #398×C107C22semidirect
68. #398×C107C22semidirect
69. #398×C107C22semidirect
70. #398×C107C22semidirect
71. #398×C107C22semidirect
72. #398×C107C22semidirect
79. #397×C107C22semidirect
80. #397×C107C22semidirect
81. #397×C107C22semidirect
85. #396×C107C22semidirect
86. #396×C107C22semidirect
87. #395×C107C22semidirect
88. #395×C107C22semidirect
89. #395×C107C22semidirect
90. #395×C107C22semidirect
98. #393×C107C22semidirect
99. #391×C107C22semidirect
100. #391×C107C22semidirect
101. #391×C107C22semidirect
102. #391×C107C22semidirect
104. #389×C107C22semidirect
105. #389×C107C22semidirect
106. #389×C107C22semidirect
107. #389×C107C22semidirect
108. #389×C107C22semidirect
120. #388×C107C22semidirect
121. #388×C107C22semidirect
122. #388×C107C22semidirect
123. #388×C107C22semidirect
124. #387×C107C22semidirect
125. #387×C107C22semidirect
126. #387×C107C22semidirect
127. #387×C107C22semidirect
128. #387×C107C22semidirect
129. #387×C107C22semidirect
130. #387×C107C22semidirect
131. #387×C107C22semidirect
132. #387×C107C22semidirect
161. #384×C107C22semidirect
162. #383×C107C22semidirect
163. #383×C107C22semidirect
164. #382×C107C22semidirect
165. #382×C107C22semidirect
171. #381×C107C22semidirect
177. #380×C107C22semidirect
178. #380×C107C22semidirect
735. #36778C107direct (N × H)
748. #2848C2×C107semidirect
749. #2790C2×C107semidirect
750. #2779C2×C107semidirect
751. #2770C2×C107semidirect
752. #2765C2×C107semidirect
753. #2764C2×C107semidirect
754. #2763C2×C107semidirect
755. #2757C2×C107semidirect
756. #2746C2×C107semidirect
757. #2739C2×C107semidirect
758. #2729C2×C107semidirect
759. #2718C2×C107semidirect
760. #2717C2×C107semidirect
761. #2698C2×C107semidirect
762. #2692C2×C107semidirect
763. #2687C2×C107semidirect
764. #2674C2×C107semidirect
765. #2627C2×C107semidirect
766. #2623C2×C107semidirect
767. #2561C2×C107semidirect
769. #2493C2×C107semidirect
770. #2488C2×C107semidirect
771. #2480C2×C107semidirect
773. #2440C2×C107semidirect
774. #2417C2×C107semidirect
775. #2329C2×C107semidirect
776. #2318C2×C107semidirect
777. C2×#385C2×C107semidirect
778. C107#36778direct (N × H)
780. C2×C4⋊Q8C22×C107semidirect
791. C2×C22⋊Q8C22×C107semidirect
798. #401C22×C107semidirect
799. #400C22×C107semidirect
800. #400C22×C107semidirect
801. #400C22×C107semidirect
802. #400C22×C107semidirect
803. #400C22×C107semidirect
804. #400C22×C107semidirect
805. #400C22×C107semidirect
806. #400C22×C107semidirect
807. #400C22×C107semidirect
808. #399C22×C107semidirect
809. #399C22×C107semidirect
810. #398C22×C107semidirect
811. #398C22×C107semidirect
812. #398C22×C107semidirect
813. #398C22×C107semidirect
814. #398C22×C107semidirect
815. #398C22×C107semidirect
816. #398C22×C107semidirect
817. #398C22×C107semidirect
818. #398C22×C107semidirect
819. #398C22×C107semidirect
826. #397C22×C107semidirect
827. #397C22×C107semidirect
828. #397C22×C107semidirect
832. #396C22×C107semidirect
833. #396C22×C107semidirect
834. #395C22×C107semidirect
835. #395C22×C107semidirect
836. #395C22×C107semidirect
837. #395C22×C107semidirect
845. #393C22×C107semidirect
846. #391C22×C107semidirect
847. #391C22×C107semidirect
848. #391C22×C107semidirect
849. #391C22×C107semidirect
851. #389C22×C107semidirect
852. #389C22×C107semidirect
853. #389C22×C107semidirect
854. #389C22×C107semidirect
855. #389C22×C107semidirect
867. #388C22×C107semidirect
868. #388C22×C107semidirect
869. #388C22×C107semidirect
870. #388C22×C107semidirect
871. #387C22×C107semidirect
872. #387C22×C107semidirect
873. #387C22×C107semidirect
874. #387C22×C107semidirect
875. #387C22×C107semidirect
876. #387C22×C107semidirect
877. #387C22×C107semidirect
878. #387C22×C107semidirect
879. #387C22×C107semidirect
908. #384C22×C107semidirect
909. #383C22×C107semidirect
910. #383C22×C107semidirect
911. #382C22×C107semidirect
912. #382C22×C107semidirect
918. #381C22×C107semidirect
924. #380C22×C107semidirect
925. #380C22×C107semidirect

Maximal subgroups

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

subgroupindex
C107×#28492
C107×#28482
C107×#27902
C107×#27792
C107×#27702
C107×#27652
C107×#27642
C107×#27632
C107×#27572
C107×#27462
C107×#27392
C107×#27292
C107×#27182
C107×#27172
C107×#26982
C107×#26922
C107×#26872
C107×#26742
C107×#26272
C107×#26232
C107×#25612
C107×#25342
C107×#24932
C107×#24882
C107×#24802
C107×#24722
C107×#24402
C107×#24172
C107×#23292
C107×#23182
C2×#385×C1072
#36778107