Finite Group Databasebeta

← C107×#35072 #41061036

Subgroups — C107×#35072 #41061036

Order 27392.

1908 conjugacy classes of subgroups.

The subgroup lattice has 1522 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C107×#2866C211yesmaximal, characteristic, complemented
2C107×#2860C211yesmaximal, characteristic, complemented
3C107×#2854C211yesmaximal, characteristic, complemented
4C107×#2852C211yesmaximal, characteristic, complemented
5C107×#2667C211yesmaximal, characteristic, complemented
6C107×#2661C211yesmaximal, characteristic, complemented
7C107×#2635C211yesmaximal, characteristic, complemented
8C107×#2630C211yesmaximal, characteristic, complemented
9C107×#2585C211yesmaximal, characteristic, complemented
10C107×#2554C211yesmaximal, characteristic, complemented
11C107×#2554C211yesmaximal, characteristic, complemented
12C107×#2553C211yesmaximal, characteristic, complemented
13C107×#2525C211yesmaximal, characteristic, complemented
14C107×#2522C211yesmaximal, characteristic, complemented
15C107×#2518C211yesmaximal, characteristic, complemented
16C107×#2468C211yesmaximal, characteristic, complemented
17C107×#2467C211yesmaximal, characteristic, complemented
18C107×#2467C211yesmaximal, characteristic, complemented
19C107×#2467C211yesmaximal, characteristic, complemented
20C107×#2466C211yesmaximal, characteristic, complemented
21C107×#2464C211yesmaximal, characteristic, complemented
22C107×#2456C211yesmaximal, characteristic, complemented
23C107×#2456C211yesmaximal, characteristic, complemented
24C107×#2455C211yesmaximal, characteristic, complemented
25C107×#2335C211yesmaximal, characteristic, complemented
26C107×#2335C211yesmaximal, characteristic, complemented
27C107×#2334C211yesmaximal, characteristic, complemented
28C107×#2333C211yesmaximal, characteristic, complemented
29C4×#123×C107C211yesmaximal, characteristic, complemented
30C4×#121×C107C211yesmaximal, characteristic, complemented
31C42×D4×C107C211yesmaximal, characteristic, complemented
32C2×#126×C107C2211yescharacteristic
33C2×#126×C107C2211yescharacteristic
34C2×#126×C107C2211yescharacteristic
35C2×#126×C107C2211yescharacteristic
36C2×#123×C107C2211yescharacteristic
37C2×#123×C107C2211yescharacteristic
38C2×#123×C107C2211yescharacteristic
39C2×#123×C107C2211yescharacteristic
40C2×#123×C107C2211yescharacteristic
41C2×#121×C107C2211yescharacteristic
42C2×#121×C107C2211yescharacteristic
43C2×#121×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
51C22×C42×C107C2211yescharacteristic
52C22×C42×C107C2211yescharacteristic
53#400×C107C2211yescharacteristic
54#399×C107C2211yescharacteristic
55#399×C107C2211yescharacteristic
56#399×C107C2211yescharacteristic
57#398×C107C2211yescharacteristic
58#398×C107C2211yescharacteristic
59#398×C107C2211yescharacteristic
60#398×C107C2211yescharacteristic
61#398×C107C2211yescharacteristic
62#398×C107C2211yescharacteristic
63#397×C107C2211yescharacteristic
64#397×C107C2211yescharacteristic
65#396×C107C2211yescharacteristic
66#396×C107C2211yescharacteristic
67#396×C107C2211yescharacteristic
68#396×C107C2211yescharacteristic
69#394×C107C2211yescharacteristic
70#394×C107C2211yescharacteristic
71#394×C107C2211yescharacteristic
72#394×C107C2211yescharacteristic
73#394×C107C2211yescharacteristic
74#394×C107C2211yescharacteristic
75#394×C107C2211yescharacteristic
76#394×C107C2211yescharacteristic
77#394×C107C2211yescharacteristic
78#392×C107C2211yescharacteristic
79#392×C107C2211yescharacteristic
80#392×C107C2211yescharacteristic
81#392×C107C2211yescharacteristic
82#392×C107C2211yescharacteristic
83#392×C107C2211yescharacteristic
84#392×C107C2211yescharacteristic
85#390×C107C2211yescharacteristic
86#390×C107C2211yescharacteristic
87#390×C107C2211yescharacteristic
88#390×C107C2211yescharacteristic
89#390×C107C2211yescharacteristic
90#390×C107C2211yescharacteristic
91#390×C107C2211yescharacteristic
92#390×C107C2211yescharacteristic
93#389×C107C2211yescharacteristic
94#389×C107C2211yescharacteristic
95#389×C107C2211yescharacteristic
96#389×C107C2211yescharacteristic
97#389×C107C2211yescharacteristic
98#389×C107C2211yescharacteristic
99#389×C107C2211yescharacteristic
100#389×C107C2211yescharacteristic
101#388×C107C2211yescharacteristic
102#388×C107C2211yescharacteristic
103#388×C107C2211yescharacteristic
104#388×C107C2211yescharacteristic
105#388×C107C2211yescharacteristic
106#388×C107C2211yescharacteristic
107#388×C107C2211yescharacteristic
108#388×C107C2211yescharacteristic
109#388×C107C2211yescharacteristic
110#388×C107C2211yescharacteristic
111#388×C107C2211yescharacteristic
112#388×C107C2211yescharacteristic
113#388×C107C2211yescharacteristic
114#388×C107C2211yescharacteristic
115#388×C107C2211yescharacteristic
116#388×C107C2211yescharacteristic
117#388×C107C2211yescharacteristic
118#388×C107C2211yescharacteristic
119#388×C107C2211yescharacteristic
120#388×C107C2211yescharacteristic
121#388×C107C2211yescharacteristic
122#388×C107C2211yescharacteristic
123#388×C107C2211yescharacteristic
124#388×C107C2211yescharacteristic
125#388×C107C2211yescharacteristic
126#388×C107C2211yescharacteristic
127#387×C107C2211yescharacteristic
128#387×C107C2211yescharacteristic
129#387×C107C2211yescharacteristic
130#387×C107C2211yescharacteristic
131#387×C107C2211yescharacteristic
132#387×C107C2211yescharacteristic
133#387×C107C2211yescharacteristic
134#387×C107C2211yescharacteristic
135#387×C107C2211yescharacteristic
136#387×C107C2211yescharacteristic
137#387×C107C2211yescharacteristic
138#387×C107C2211yescharacteristic
139#387×C107C2211yescharacteristic
140#387×C107C2211yescharacteristic
141#387×C107C2211yescharacteristic
142#387×C107C2211yescharacteristic
143#386×C107C2211yescharacteristic
144#386×C107C2211yescharacteristic
145#386×C107C2211yescharacteristic
146#386×C107C2211yescharacteristic
147#386×C107C2211yescharacteristic
148#386×C107C2211yescharacteristic
149#386×C107C2211yescharacteristic
150#386×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic
154#385×C107C2211yescharacteristic
155#385×C107C2211yescharacteristic
156#385×C107C2211yescharacteristic
157#385×C107C2211yescharacteristic
158#385×C107C2211yescharacteristic
159#385×C107C2211yescharacteristic
160#385×C107C2211yescharacteristic
161#383×C107C2211yescharacteristic
162#382×C107C2211yescharacteristic
163#381×C107C2211yescharacteristic
164#381×C107C2211yescharacteristic
165#380×C107C2211yescharacteristic
166#380×C107C2211yescharacteristic
167#380×C107C2211yescharacteristic
168#380×C107C2211yescharacteristic
169C4×C4⋊C4×C107C2211yescharacteristic
170C4×C4⋊C4×C107C2211yescharacteristic
171C4×C4⋊C4×C107C2211yescharacteristic
172C4×C4⋊C4×C107C2211yescharacteristic
173C4×C4⋊C4×C107C2211yescharacteristic
174C4×C4⋊C4×C107C2211yescharacteristic
175C4×C22⋊C4×C107C2211yescharacteristic
176C4×C22⋊C4×C107C2211yescharacteristic
177C4×C22⋊C4×C107C2211yescharacteristic
178C4×C22⋊C4×C107C2211yescharacteristic
179C4×C22⋊C4×C107C2211yescharacteristic
180C4×C22⋊C4×C107C2211yescharacteristic
181C4×C22⋊C4×C107C2211yescharacteristic
182C4×C22⋊C4×C107C2211yescharacteristic
183C4×C22⋊C4×C107C2211yescharacteristic
184C4×C22⋊C4×C107C2211yescharacteristic
185C4×C22⋊C4×C107C2211yescharacteristic
186C43×C107C2211yescharacteristic
187C22×D4×C107C2311yescharacteristic
188C22×D4×C107C2311yescharacteristic
189C22×D4×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
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
206#126×C107—24no—
207#126×C107—42no—
208#126×C107—42no—
209#126×C107—42no—
210#123×C107—24no—
211#123×C107—24no—
212#123×C107—24no—
213#123×C107—42no—
214#123×C107—42no—
215#121×C107—24no—
216#121×C107—24no—
217#121×C107—42no—
218C4×D4×C107—24no—
219C4×D4×C107—24no—
220C4×D4×C107—24no—
221C4×D4×C107—42no—
222C4×D4×C107—42no—
223C4×D4×C107—42no—
224C4×D4×C107—42no—
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×C22⋊C4×C107C2311yescharacteristic
258C2×C22⋊C4×C107C2311yescharacteristic
259C2×C22⋊C4×C107C2311yescharacteristic
260C2×C22⋊C4×C107C2311yescharacteristic
261C2×C22⋊C4×C107C2311yescharacteristic
262C2×C22⋊C4×C107C2311yescharacteristic
263C2×C22⋊C4×C107C2311yescharacteristic
264C2×C22⋊C4×C107C2311yescharacteristic
265C2×C22⋊C4×C107C2311yescharacteristic
266C2×C22⋊C4×C107C2311yescharacteristic
267C2×C22⋊C4×C107C2311yescharacteristic
268C2×C22⋊C4×C107C2311yescharacteristic
269C2×C22⋊C4×C107C2311yescharacteristic
270C2×C22⋊C4×C107C2311yescharacteristic
271C2×C22⋊C4×C107C2311yescharacteristic
272C2×C22⋊C4×C107C2311yescharacteristic
273C2×C22⋊C4×C107C2311yescharacteristic
274C2×C22⋊C4×C107C2311yescharacteristic
275C2×C22⋊C4×C107C2311yescharacteristic
276C2×C22⋊C4×C107C2311yescharacteristic
277C2×C22⋊C4×C107C2311yescharacteristic
278C2×C22⋊C4×C107C2311yescharacteristic
279C2×C22⋊C4×C107C2311yescharacteristic
280C2×C22⋊C4×C107C2311yescharacteristic
281C2×C22⋊C4×C107C2311yescharacteristic
282C2×C22⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
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
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×C107C2411yescharacteristic
364C24×C107C2411yescharacteristic
365C24×C107C2411yescharacteristic
366C24×C107C2411yescharacteristic
367C24×C107C2411yescharacteristic
368C2×D4×C107—22no—
369C2×D4×C107—22no—
370C2×D4×C107—22no—
371C2×D4×C107—22no—
372C2×D4×C107—22no—
373C2×D4×C107—22no—
374C2×D4×C107—22no—
375C2×D4×C107—22no—
376C2×D4×C107—22no—
377C2×D4×C107—22no—
378C2×D4×C107—22no—
379C2×D4×C107—22no—
380C2×D4×C107—41no—
381C2×D4×C107—41no—
382C2×D4×C107—41no—
383C2×D4×C107—41no—
384C2×D4×C107—41no—
385C2×D4×C107—41no—
386C2×D4×C107—41no—
387C2×D4×C107—41no—
388C2×D4×C107—41no—
389C2×D4×C107—41no—
390C2×D4×C107—41no—
391C2×D4×C107—41no—
392C2×D4×C107—41no—
393C2×D4×C107—41no—
394C2×D4×C107—41no—
395C2×D4×C107—41no—
396C2×D4×C107—41no—
397C2×D4×C107—41no—
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—22no—
406C22×C4×C107—22no—
407C22×C4×C107—22no—
408C22×C4×C107—22no—
409C22×C4×C107—22no—
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#4114yes—
425C22×C4×C107C2411yescharacteristic
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
451C4⋊C4×C107—22no—
452C4⋊C4×C107—22no—
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—22no—
462C4⋊C4×C107—22no—
463C4⋊C4×C107—22no—
464C4⋊C4×C107—22no—
465C4⋊C4×C107—22no—
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#4114yes—
483C22⋊C4×C107—22no—
484C22⋊C4×C107—22no—
485C22⋊C4×C107—22no—
486C22⋊C4×C107—22no—
487C22⋊C4×C107—22no—
488C22⋊C4×C107—22no—
489C22⋊C4×C107—22no—
490C22⋊C4×C107—22no—
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—41no—
509C22⋊C4×C107—41no—
510C22⋊C4×C107—41no—
511C22⋊C4×C107—41no—
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#4114yes—
529C42×C107—22no—
530C42×C107—22no—
531C42×C107—22no—
532C42×C107—22no—
533C42×C107—22no—
534C42×C107—22no—
535C42×C107—22no—
536C42×C107—22no—
537C42×C107—41no—
538C42×C107—41no—
539C42×C107—41no—
540C42×C107—41no—
541C42×C107—41no—
542C42×C107—41no—
543C42×C107—41no—
544C42×C107—41no—
545C42×C107—41no—
546C42×C107—41no—
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—21no—
563C23×C107—21no—
564C23×C107—21no—
565C23×C107—21no—
566C23×C107—21no—
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×C107C2×#4112yes—
581C23×C107C2×#4112yes—
582C23×C107C2511yescharacteristic
583D4×C107—28no—
584D4×C107—44no—
585D4×C107—44no—
586D4×C107—44no—
587D4×C107—44no—
588D4×C107—82no—
589D4×C107—82no—
590D4×C107—82no—
591D4×C107—82no—
592D4×C107—82no—
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—21no—
659C2×C4×C107—21no—
660C2×C4×C107—21no—
661C2×C4×C107—21no—
662C2×C4×C107—44no—
663C2×C4×C107—44no—
664C2×C4×C107—44no—
665C2×C4×C107—44no—
666C2×C4×C107—44no—
667C2×C4×C107—44no—
668C2×C4×C107—82no—
669C2×C4×C107—82no—
670C2×C4×C107—82no—
671C2×C4×C107C2×#4112yes—
672C2×C4×C107C2×#4112yes—
673C2×C4×C107C2×#4112yes—
674C2×C4×C107C2×#4112yes—
675C2×C4×C107C2×#4112yes—
676C2×C4×C107C2×#4112yes—
677C2×C4×C107C2×#4112yes—
678C2×C4×C107H(5,𝔽2)12yes—
679C2×C4×C107H(5,𝔽2)12yes—
680C22×C107—22no—
681C22×C107—22no—
682C22×C107—22no—
683C22×C107—22no—
684C22×C107—22no—
685C22×C107—22no—
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—41no—
701C22×C107—41no—
702C22×C107—41no—
703C22×C107—41no—
704C22×C107—41no—
705C22×C107—41no—
706C22×C107—41no—
707C22×C107—41no—
708C22×C107—41no—
709C22×C107—41no—
710C22×C107—41no—
711C22×C107—41no—
712C22×C107—41no—
713C22×C107—41no—
714C22×C107—41no—
715C22×C107C22×#4111yescharacteristic
716C22×C107C22×#4111yescharacteristic
717C22×C107C22×#4111yescharacteristic
718C22×C107C2×H(5,𝔽2)11yescharacteristic
719C22×C107C2×H(5,𝔽2)11yescharacteristic
720C22×C107#58511yescharacteristic
721C22×C107#58511yescharacteristic
722C4×C107—22no—
723C4×C107—22no—
724C4×C107—22no—
725C4×C107—22no—
726C4×C107—22no—
727C4×C107—22no—
728C4×C107—22no—
729C4×C107—22no—
730C4×C107—22no—
731C4×C107—41no—
732C4×C107—41no—
733C4×C107—41no—
734C4×C107—41no—
735C4×C107—41no—
736C4×C107—41no—
737C4×C107—41no—
738C4×C107—41no—
739C4×C107—41no—
740C4×C107—41no—
741C4×C107—41no—
742C4×C107—41no—
743C4×C107—41no—
744C4×C107—41no—
745C4×C107—41no—
746C4×C107—41no—
747C4×C107—41no—
748#35072C10711yesmaximal, characteristic, direct product factor, Sylow
749C2×C107—42no—
750C2×C107—42no—
751C2×C107—81no—
752C2×C107—81no—
753C2×C107—81no—
754C2×C107#344411yescharacteristic
755C2×C107#345911yescharacteristic
756C2×C107#346011yescharacteristic
757C2×C107#351311yescharacteristic
758C2×C107#351711yescharacteristic
759C2×C107#351911yescharacteristic
760C2×C107#352111yescharacteristic
761#2866C2×C10711yescharacteristic, complemented
762#2860C2×C10711yescharacteristic, complemented
763#2854C2×C10711yescharacteristic, complemented
764#2852C2×C10711yescharacteristic, complemented
765#2667C2×C10711yescharacteristic, complemented
766#2661C2×C10711yescharacteristic, complemented
767#2635C2×C10711yescharacteristic, complemented
768#2630C2×C10711yescharacteristic, complemented
769#2585C2×C10711yescharacteristic, complemented
770#2554C2×C10711yescharacteristic, complemented
771#2554C2×C10711yescharacteristic, complemented
772#2553C2×C10711yescharacteristic, complemented
773#2525C2×C10711yescharacteristic, complemented
774#2522C2×C10711yescharacteristic, complemented
775#2518C2×C10711yescharacteristic, complemented
776#2468C2×C10711yescharacteristic, complemented
777#2467C2×C10711yescharacteristic, complemented
778#2467C2×C10711yescharacteristic, complemented
779#2467C2×C10711yescharacteristic, complemented
780#2466C2×C10711yescharacteristic, complemented
781#2464C2×C10711yescharacteristic, complemented
782#2456C2×C10711yescharacteristic, complemented
783#2456C2×C10711yescharacteristic, complemented
784#2455C2×C10711yescharacteristic, complemented
785#2335C2×C10711yescharacteristic, complemented
786#2335C2×C10711yescharacteristic, complemented
787#2334C2×C10711yescharacteristic, complemented
788#2333C2×C10711yescharacteristic, complemented
789C4×#123C2×C10711yescharacteristic, complemented
790C4×#121C2×C10711yescharacteristic, complemented
791C42×D4C2×C10711yescharacteristic, complemented
792C107#3507211yescharacteristic, direct product factor, Sylow
793C2×#126C22×C10711yescharacteristic
794C2×#126C22×C10711yescharacteristic
795C2×#126C22×C10711yescharacteristic
796C2×#126C22×C10711yescharacteristic
797C2×#123C22×C10711yescharacteristic
798C2×#123C22×C10711yescharacteristic
799C2×#123C22×C10711yescharacteristic
800C2×#123C22×C10711yescharacteristic
801C2×#123C22×C10711yescharacteristic
802C2×#121C22×C10711yescharacteristic
803C2×#121C22×C10711yescharacteristic
804C2×#121C22×C10711yescharacteristic
805C2×C4×D4C22×C10711yescharacteristic
806C2×C4×D4C22×C10711yescharacteristic
807C2×C4×D4C22×C10711yescharacteristic
808C2×C4×D4C22×C10711yescharacteristic
809C2×C4×D4C22×C10711yescharacteristic
810C2×C4×D4C22×C10711yescharacteristic
811C2×C4×D4C22×C10711yescharacteristic
812C22×C42C22×C10711yescharacteristic
813C22×C42C22×C10711yescharacteristic
814#400C22×C10711yescharacteristic
815#399C22×C10711yescharacteristic
816#399C22×C10711yescharacteristic
817#399C22×C10711yescharacteristic
818#398C22×C10711yescharacteristic
819#398C22×C10711yescharacteristic
820#398C22×C10711yescharacteristic
821#398C22×C10711yescharacteristic
822#398C22×C10711yescharacteristic
823#398C22×C10711yescharacteristic
824#397C22×C10711yescharacteristic
825#397C22×C10711yescharacteristic
826#396C22×C10711yescharacteristic
827#396C22×C10711yescharacteristic
828#396C22×C10711yescharacteristic
829#396C22×C10711yescharacteristic
830#394C22×C10711yescharacteristic
831#394C22×C10711yescharacteristic
832#394C22×C10711yescharacteristic
833#394C22×C10711yescharacteristic
834#394C22×C10711yescharacteristic
835#394C22×C10711yescharacteristic
836#394C22×C10711yescharacteristic
837#394C22×C10711yescharacteristic
838#394C22×C10711yescharacteristic
839#392C22×C10711yescharacteristic
840#392C22×C10711yescharacteristic
841#392C22×C10711yescharacteristic
842#392C22×C10711yescharacteristic
843#392C22×C10711yescharacteristic
844#392C22×C10711yescharacteristic
845#392C22×C10711yescharacteristic
846#390C22×C10711yescharacteristic
847#390C22×C10711yescharacteristic
848#390C22×C10711yescharacteristic
849#390C22×C10711yescharacteristic
850#390C22×C10711yescharacteristic
851#390C22×C10711yescharacteristic
852#390C22×C10711yescharacteristic
853#390C22×C10711yescharacteristic
854#389C22×C10711yescharacteristic
855#389C22×C10711yescharacteristic
856#389C22×C10711yescharacteristic
857#389C22×C10711yescharacteristic
858#389C22×C10711yescharacteristic
859#389C22×C10711yescharacteristic
860#389C22×C10711yescharacteristic
861#389C22×C10711yescharacteristic
862#388C22×C10711yescharacteristic
863#388C22×C10711yescharacteristic
864#388C22×C10711yescharacteristic
865#388C22×C10711yescharacteristic
866#388C22×C10711yescharacteristic
867#388C22×C10711yescharacteristic
868#388C22×C10711yescharacteristic
869#388C22×C10711yescharacteristic
870#388C22×C10711yescharacteristic
871#388C22×C10711yescharacteristic
872#388C22×C10711yescharacteristic
873#388C22×C10711yescharacteristic
874#388C22×C10711yescharacteristic
875#388C22×C10711yescharacteristic
876#388C22×C10711yescharacteristic
877#388C22×C10711yescharacteristic
878#388C22×C10711yescharacteristic
879#388C22×C10711yescharacteristic
880#388C22×C10711yescharacteristic
881#388C22×C10711yescharacteristic
882#388C22×C10711yescharacteristic
883#388C22×C10711yescharacteristic
884#388C22×C10711yescharacteristic
885#388C22×C10711yescharacteristic
886#388C22×C10711yescharacteristic
887#388C22×C10711yescharacteristic
888#387C22×C10711yescharacteristic
889#387C22×C10711yescharacteristic
890#387C22×C10711yescharacteristic
891#387C22×C10711yescharacteristic
892#387C22×C10711yescharacteristic
893#387C22×C10711yescharacteristic
894#387C22×C10711yescharacteristic
895#387C22×C10711yescharacteristic
896#387C22×C10711yescharacteristic
897#387C22×C10711yescharacteristic
898#387C22×C10711yescharacteristic
899#387C22×C10711yescharacteristic
900#387C22×C10711yescharacteristic
901#387C22×C10711yescharacteristic
902#387C22×C10711yescharacteristic
903#387C22×C10711yescharacteristic
904#386C22×C10711yescharacteristic
905#386C22×C10711yescharacteristic
906#386C22×C10711yescharacteristic
907#386C22×C10711yescharacteristic
908#386C22×C10711yescharacteristic
909#386C22×C10711yescharacteristic
910#386C22×C10711yescharacteristic
911#386C22×C10711yescharacteristic
912#386C22×C10711yescharacteristic
913#386C22×C10711yescharacteristic
914#386C22×C10711yescharacteristic
915#385C22×C10711yescharacteristic
916#385C22×C10711yescharacteristic
917#385C22×C10711yescharacteristic
918#385C22×C10711yescharacteristic
919#385C22×C10711yescharacteristic
920#385C22×C10711yescharacteristic
921#385C22×C10711yescharacteristic
922#383C22×C10711yescharacteristic
923#382C22×C10711yescharacteristic
924#381C22×C10711yescharacteristic
925#381C22×C10711yescharacteristic
926#380C22×C10711yescharacteristic
927#380C22×C10711yescharacteristic
928#380C22×C10711yescharacteristic
929#380C22×C10711yescharacteristic
930C4×C4⋊C4C22×C10711yescharacteristic
931C4×C4⋊C4C22×C10711yescharacteristic
932C4×C4⋊C4C22×C10711yescharacteristic
933C4×C4⋊C4C22×C10711yescharacteristic
934C4×C4⋊C4C22×C10711yescharacteristic
935C4×C4⋊C4C22×C10711yescharacteristic
936C4×C22⋊C4C22×C10711yescharacteristic
937C4×C22⋊C4C22×C10711yescharacteristic
938C4×C22⋊C4C22×C10711yescharacteristic
939C4×C22⋊C4C22×C10711yescharacteristic
940C4×C22⋊C4C22×C10711yescharacteristic
941C4×C22⋊C4C22×C10711yescharacteristic
942C4×C22⋊C4C22×C10711yescharacteristic
943C4×C22⋊C4C22×C10711yescharacteristic
944C4×C22⋊C4C22×C10711yescharacteristic
945C4×C22⋊C4C22×C10711yescharacteristic
946C4×C22⋊C4C22×C10711yescharacteristic
947C43C22×C10711yescharacteristic
948C22×D4C23×C10711yescharacteristic
949C22×D4C23×C10711yescharacteristic
950C22×D4C23×C10711yescharacteristic
951C22×D4C23×C10711yescharacteristic
952C22×D4C23×C10711yescharacteristic
953C22×D4C23×C10711yescharacteristic
954C22×D4C23×C10711yescharacteristic
955C22×D4C23×C10711yescharacteristic
956C22×D4C23×C10711yescharacteristic
957C22×D4C23×C10711yescharacteristic
958C23×C4C23×C10711yescharacteristic
959C23×C4C23×C10711yescharacteristic
960C23×C4C23×C10711yescharacteristic
961C23×C4C23×C10711yescharacteristic
962C23×C4C23×C10711yescharacteristic
963C23×C4C23×C10711yescharacteristic
964C23×C4C23×C10711yescharacteristic
965C23×C4C23×C10711yescharacteristic
966C23×C4C23×C10711yescharacteristic
967#126—24no—
968#126—42no—
969#126—42no—
970#126—42no—
971#123—24no—
972#123—24no—
973#123—24no—
974#123—42no—
975#123—42no—
976#121—24no—
977#121—24no—
978#121—42no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
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×C4⋊C4C23×C10711yescharacteristic
1010C2×C4⋊C4C23×C10711yescharacteristic
1011C2×C4⋊C4C23×C10711yescharacteristic
1012C2×C4⋊C4C23×C10711yescharacteristic
1013C2×C4⋊C4C23×C10711yescharacteristic
1014C2×C4⋊C4C23×C10711yescharacteristic
1015C2×C4⋊C4C23×C10711yescharacteristic
1016C2×C4⋊C4C23×C10711yescharacteristic
1017C2×C4⋊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×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×C42—42no—
1065C2×C42—42no—
1066C2×C42C23×C10711yescharacteristic
1067C2×C42C23×C10711yescharacteristic
1068C2×C42C23×C10711yescharacteristic
1069C2×C42C23×C10711yescharacteristic
1070C2×C42C23×C10711yescharacteristic
1071C2×C42C23×C10711yescharacteristic
1072C2×C42C23×C10711yescharacteristic
1073C2×C42C23×C10711yescharacteristic
1074C2×C42C23×C10711yescharacteristic
1075C2×C42C23×C10711yescharacteristic
1076C2×C42C23×C10711yescharacteristic
1077C2×C42C23×C10711yescharacteristic
1078C2×C42C23×C10711yescharacteristic
1079C2×C42C23×C10711yescharacteristic
1080C2×C42C23×C10711yescharacteristic
1081C2×C42C23×C10711yescharacteristic
1082C2×C42C23×C10711yescharacteristic
1083C2×C42C23×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
1110#95C23×C10711yescharacteristic
1111#95C23×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
1124C24C24×C10711yescharacteristic
1125C24C24×C10711yescharacteristic
1126C24C24×C10711yescharacteristic
1127C24C24×C10711yescharacteristic
1128C24C24×C10711yescharacteristic
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4#41×C10714yes—
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
1200C22×C4C24×C10711yescharacteristic
1201C22×C4C24×C10711yescharacteristic
1202C22×C4C24×C10711yescharacteristic
1203C22×C4C24×C10711yescharacteristic
1204C22×C4C24×C10711yescharacteristic
1205C22×C4C24×C10711yescharacteristic
1206C22×C4C24×C10711yescharacteristic
1207C22×C4C24×C10711yescharacteristic
1208C22×C4C24×C10711yescharacteristic
1209C22×C4C24×C10711yescharacteristic
1210C22×C4C24×C10711yescharacteristic
1211C22×C4C24×C10711yescharacteristic
1212C4⋊C4—22no—
1213C4⋊C4—22no—
1214C4⋊C4—22no—
1215C4⋊C4—22no—
1216C4⋊C4—22no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
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—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4#41×C10714yes—
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—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
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—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4#41×C10714yes—
1290C42—22no—
1291C42—22no—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—22no—
1297C42—22no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23C2×#41×C10712yes—
1342C23C2×#41×C10712yes—
1343C23C25×C10711yescharacteristic
1344D4—28no—
1345D4—44no—
1346D4—44no—
1347D4—44no—
1348D4—44no—
1349D4—82no—
1350D4—82no—
1351D4—82no—
1352D4—82no—
1353D4—82no—
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—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—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4C2×#41×C10712yes—
1433C2×C4C2×#41×C10712yes—
1434C2×C4C2×#41×C10712yes—
1435C2×C4C2×#41×C10712yes—
1436C2×C4C2×#41×C10712yes—
1437C2×C4C2×#41×C10712yes—
1438C2×C4C2×#41×C10712yes—
1439C2×C4H(5,𝔽2)×C10712yes—
1440C2×C4H(5,𝔽2)×C10712yes—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22C22×#41×C10711yescharacteristic
1477C22C22×#41×C10711yescharacteristic
1478C22C22×#41×C10711yescharacteristic
1479C22C2×H(5,𝔽2)×C10711yescharacteristic
1480C22C2×H(5,𝔽2)×C10711yescharacteristic
1481C22#585×C10711yescharacteristic
1482C22#585×C10711yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C2—42no—
1510C2—42no—
1511C2—81no—
1512C2—81no—
1513C2—81no—
1514C2C107×#344411yescharacteristic
1515C2C107×#345911yescharacteristic
1516C2C107×#346011yescharacteristic
1517C2C107×#351311yescharacteristic
1518C2C107×#351711yescharacteristic
1519C2C107×#351911yescharacteristic
1520C2C107×#352111yescharacteristic
subgroupG/H
center, socleC23×C107C25
commutator, Frattini, cosocleC23C25×C107
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C107 ◁ G

Complements

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

NH ≅ G/Ntype
1. C107×#2866C2semidirect
2. C107×#2860C2semidirect
3. C107×#2854C2semidirect
4. C107×#2852C2semidirect
5. C107×#2667C2semidirect
6. C107×#2661C2semidirect
7. C107×#2635C2semidirect
8. C107×#2630C2semidirect
9. C107×#2585C2semidirect
10. C107×#2554C2semidirect
11. C107×#2554C2semidirect
12. C107×#2553C2semidirect
13. C107×#2525C2semidirect
14. C107×#2522C2semidirect
15. C107×#2518C2semidirect
16. C107×#2468C2semidirect
17. C107×#2467C2semidirect
18. C107×#2467C2semidirect
19. C107×#2467C2semidirect
20. C107×#2466C2semidirect
21. C107×#2464C2semidirect
22. C107×#2456C2semidirect
23. C107×#2456C2semidirect
24. C107×#2455C2semidirect
25. C107×#2335C2semidirect
26. C107×#2335C2semidirect
27. C107×#2334C2semidirect
28. C107×#2333C2semidirect
29. C4×#123×C107C2semidirect
30. C4×#121×C107C2semidirect
31. C42×D4×C107C2semidirect
748. #35072C107direct (N × H)
761. #2866C2×C107semidirect
762. #2860C2×C107semidirect
763. #2854C2×C107semidirect
764. #2852C2×C107semidirect
765. #2667C2×C107semidirect
766. #2661C2×C107semidirect
767. #2635C2×C107semidirect
768. #2630C2×C107semidirect
769. #2585C2×C107semidirect
770. #2554C2×C107semidirect
771. #2554C2×C107semidirect
772. #2553C2×C107semidirect
773. #2525C2×C107semidirect
774. #2522C2×C107semidirect
775. #2518C2×C107semidirect
776. #2468C2×C107semidirect
777. #2467C2×C107semidirect
778. #2467C2×C107semidirect
779. #2467C2×C107semidirect
780. #2466C2×C107semidirect
781. #2464C2×C107semidirect
782. #2456C2×C107semidirect
783. #2456C2×C107semidirect
784. #2455C2×C107semidirect
785. #2335C2×C107semidirect
786. #2335C2×C107semidirect
787. #2334C2×C107semidirect
788. #2333C2×C107semidirect
789. C4×#123C2×C107semidirect
790. C4×#121C2×C107semidirect
791. C42×D4C2×C107semidirect
792. C107#35072direct (N × H)

Maximal subgroups

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

subgroupindex
C107×#28662
C107×#28602
C107×#28542
C107×#28522
C107×#26672
C107×#26612
C107×#26352
C107×#26302
C107×#25852
C107×#25542
C107×#25532
C107×#25252
C107×#25222
C107×#25182
C107×#24682
C107×#24672
C107×#24662
C107×#24642
C107×#24562
C107×#24552
C107×#23352
C107×#23342
C107×#23332
C4×#123×C1072
C4×#121×C1072
C42×D4×C1072
#35072107