Finite Group Databasebeta

← C107×#36746 #41062710

Subgroups — C107×#36746 #41062710

Order 27392.

2152 conjugacy classes of subgroups.

The subgroup lattice has 1626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#540×C107C211yesmaximal, characteristic, complemented
2C2×#539×C107C211yesmaximal, characteristic, complemented
3C107×#2854C211yesmaximal, characteristic, complemented
4C107×#2850C211yesmaximal, characteristic, complemented
5C107×#2719C211yesmaximal, characteristic, complemented
6C107×#2711C211yesmaximal, characteristic, complemented
7C107×#2709C211yesmaximal, characteristic, complemented
8C107×#2708C211yesmaximal, characteristic, complemented
9C107×#2706C211yesmaximal, characteristic, complemented
10C107×#2703C211yesmaximal, characteristic, complemented
11C107×#2695C211yesmaximal, characteristic, complemented
12C107×#2693C211yesmaximal, characteristic, complemented
13C107×#2691C211yesmaximal, characteristic, complemented
14C107×#2690C211yesmaximal, characteristic, complemented
15C107×#2688C211yesmaximal, characteristic, complemented
16C107×#2687C211yesmaximal, characteristic, complemented
17C107×#2676C211yesmaximal, characteristic, complemented
18C107×#2673C211yesmaximal, characteristic, complemented
19C107×#2672C211yesmaximal, characteristic, complemented
20C107×#2671C211yesmaximal, characteristic, complemented
21C107×#2663C211yesmaximal, characteristic, complemented
22C107×#2661C211yesmaximal, characteristic, complemented
23C107×#2611C211yesmaximal, characteristic, complemented
24C107×#2603C211yesmaximal, characteristic, complemented
25C107×#2602C211yesmaximal, characteristic, complemented
26C107×#2601C211yesmaximal, characteristic, complemented
27C107×#2591C211yesmaximal, characteristic, complemented
28C107×#2562C211yesmaximal, characteristic, complemented
29C107×#2414C211yesmaximal, characteristic, complemented
30C107×#2413C211yesmaximal, characteristic, complemented
31C107×#2290C211yesmaximal, characteristic, complemented
32#540×C107—28no—
33#539×C107—28no—
34C2×#127×C107C2211yescharacteristic
35C2×#126×C107C2211yescharacteristic
36C2×#126×C107C2211yescharacteristic
37C2×#125×C107C2211yescharacteristic
38C2×#125×C107C2211yescharacteristic
39C2×#125×C107C2211yescharacteristic
40C2×#124×C107C2211yescharacteristic
41C2×#123×C107C2211yescharacteristic
42C2×#123×C107C2211yescharacteristic
43C2×#123×C107C2211yescharacteristic
44C2×#123×C107C2211yescharacteristic
45C2×#123×C107C2211yescharacteristic
46C2×#123×C107C2211yescharacteristic
47C2×#123×C107C2211yescharacteristic
48C2×#123×C107C2211yescharacteristic
49C2×#123×C107C2211yescharacteristic
50C2×C22⋊Q8×C107C2211yescharacteristic
51C2×C22⋊Q8×C107C2211yescharacteristic
52C2×C22⋊Q8×C107C2211yescharacteristic
53C2×#121×C107C2211yescharacteristic
54C2×#121×C107C2211yescharacteristic
55C2×#121×C107C2211yescharacteristic
56C2×#121×C107C2211yescharacteristic
57C2×#121×C107C2211yescharacteristic
58C2×#121×C107C2211yescharacteristic
59C2×#121×C107C2211yescharacteristic
60C2×#121×C107C2211yescharacteristic
61C2×#121×C107C2211yescharacteristic
62C2×C4×D4×C107C2211yescharacteristic
63C2×C4×D4×C107C2211yescharacteristic
64C2×C4×D4×C107C2211yescharacteristic
65C2×#117×C107C2211yescharacteristic
66C2×#117×C107C2211yescharacteristic
67C22×C4⋊C4×C107C2211yescharacteristic
68C22×C42×C107C2211yescharacteristic
69#400×C107C2211yescharacteristic
70#400×C107C2211yescharacteristic
71#400×C107C2211yescharacteristic
72#400×C107C2211yescharacteristic
73#400×C107C2211yescharacteristic
74#400×C107C2211yescharacteristic
75#399×C107C2211yescharacteristic
76#399×C107C2211yescharacteristic
77#398×C107C2211yescharacteristic
78#398×C107C2211yescharacteristic
79#398×C107C2211yescharacteristic
80#398×C107C2211yescharacteristic
81#398×C107C2211yescharacteristic
82#398×C107C2211yescharacteristic
83#397×C107C2211yescharacteristic
84#397×C107C2211yescharacteristic
85#397×C107C2211yescharacteristic
86#397×C107C2211yescharacteristic
87#397×C107C2211yescharacteristic
88#397×C107C2211yescharacteristic
89#396×C107C2211yescharacteristic
90#396×C107C2211yescharacteristic
91#396×C107C2211yescharacteristic
92#396×C107C2211yescharacteristic
93#395×C107C2211yescharacteristic
94#394×C107C2211yescharacteristic
95#394×C107C2211yescharacteristic
96#394×C107C2211yescharacteristic
97#394×C107C2211yescharacteristic
98#394×C107C2211yescharacteristic
99#394×C107C2211yescharacteristic
100#394×C107C2211yescharacteristic
101#394×C107C2211yescharacteristic
102#394×C107C2211yescharacteristic
103#394×C107C2211yescharacteristic
104#394×C107C2211yescharacteristic
105#394×C107C2211yescharacteristic
106#394×C107C2211yescharacteristic
107#394×C107C2211yescharacteristic
108#394×C107C2211yescharacteristic
109#393×C107C2211yescharacteristic
110#392×C107C2211yescharacteristic
111#392×C107C2211yescharacteristic
112#392×C107C2211yescharacteristic
113#392×C107C2211yescharacteristic
114#392×C107C2211yescharacteristic
115#392×C107C2211yescharacteristic
116#392×C107C2211yescharacteristic
117#391×C107C2211yescharacteristic
118#390×C107C2211yescharacteristic
119#390×C107C2211yescharacteristic
120#390×C107C2211yescharacteristic
121#390×C107C2211yescharacteristic
122#390×C107C2211yescharacteristic
123#390×C107C2211yescharacteristic
124#389×C107C2211yescharacteristic
125#389×C107C2211yescharacteristic
126#389×C107C2211yescharacteristic
127#389×C107C2211yescharacteristic
128#389×C107C2211yescharacteristic
129#388×C107C2211yescharacteristic
130#388×C107C2211yescharacteristic
131#388×C107C2211yescharacteristic
132#388×C107C2211yescharacteristic
133#388×C107C2211yescharacteristic
134#388×C107C2211yescharacteristic
135#388×C107C2211yescharacteristic
136#388×C107C2211yescharacteristic
137#388×C107C2211yescharacteristic
138#388×C107C2211yescharacteristic
139#388×C107C2211yescharacteristic
140#388×C107C2211yescharacteristic
141#388×C107C2211yescharacteristic
142#388×C107C2211yescharacteristic
143#388×C107C2211yescharacteristic
144#388×C107C2211yescharacteristic
145#387×C107C2211yescharacteristic
146#387×C107C2211yescharacteristic
147#387×C107C2211yescharacteristic
148#387×C107C2211yescharacteristic
149#387×C107C2211yescharacteristic
150#387×C107C2211yescharacteristic
151#386×C107C2211yescharacteristic
152#386×C107C2211yescharacteristic
153#386×C107C2211yescharacteristic
154#386×C107C2211yescharacteristic
155#386×C107C2211yescharacteristic
156#386×C107C2211yescharacteristic
157#386×C107C2211yescharacteristic
158#386×C107C2211yescharacteristic
159#386×C107C2211yescharacteristic
160#386×C107C2211yescharacteristic
161#386×C107C2211yescharacteristic
162#386×C107C2211yescharacteristic
163#386×C107C2211yescharacteristic
164#386×C107C2211yescharacteristic
165#386×C107C2211yescharacteristic
166#386×C107C2211yescharacteristic
167#386×C107C2211yescharacteristic
168#385×C107C2211yescharacteristic
169#385×C107C2211yescharacteristic
170#385×C107C2211yescharacteristic
171#385×C107C2211yescharacteristic
172#385×C107C2211yescharacteristic
173#385×C107C2211yescharacteristic
174#385×C107C2211yescharacteristic
175#385×C107C2211yescharacteristic
176#385×C107C2211yescharacteristic
177#382×C107C2211yescharacteristic
178#381×C107C2211yescharacteristic
179#380×C107C2211yescharacteristic
180#380×C107C2211yescharacteristic
181#380×C107C2211yescharacteristic
182#380×C107C2211yescharacteristic
183#380×C107C2211yescharacteristic
184#380×C107C2211yescharacteristic
185C4×C4⋊C4×C107C2211yescharacteristic
186C4×C22⋊C4×C107C2211yescharacteristic
187C4×C22⋊C4×C107C2211yescharacteristic
188#376×C107C2211yescharacteristic
189C22×Q8×C107C2311yescharacteristic
190C22×D4×C107C2311yescharacteristic
191C22×D4×C107C2311yescharacteristic
192C22×D4×C107C2311yescharacteristic
193C22×D4×C107C2311yescharacteristic
194C22×D4×C107C2311yescharacteristic
195C22×D4×C107C2311yescharacteristic
196C22×D4×C107C2311yescharacteristic
197C22×D4×C107C2311yescharacteristic
198C22×D4×C107C2311yescharacteristic
199C22×D4×C107C2311yescharacteristic
200C22×D4×C107C2311yescharacteristic
201C22×D4×C107C2311yescharacteristic
202C22×D4×C107C2311yescharacteristic
203C22×D4×C107C2311yescharacteristic
204C22×D4×C107C2311yescharacteristic
205C23×C4×C107C2311yescharacteristic
206C23×C4×C107C2311yescharacteristic
207C23×C4×C107C2311yescharacteristic
208C23×C4×C107C2311yescharacteristic
209C23×C4×C107C2311yescharacteristic
210C23×C4×C107C2311yescharacteristic
211C23×C4×C107C2311yescharacteristic
212C23×C4×C107C2311yescharacteristic
213C23×C4×C107C2311yescharacteristic
214C23×C4×C107C2311yescharacteristic
215#127×C107—24no—
216#126×C107—24no—
217#126×C107—24no—
218#125×C107—24no—
219#125×C107—24no—
220#125×C107—24no—
221#124×C107—42no—
222#123×C107—24no—
223#123×C107—24no—
224#123×C107—24no—
225#123×C107—24no—
226#123×C107—24no—
227#123×C107—24no—
228#123×C107—24no—
229#123×C107—24no—
230#123×C107—42no—
231C22⋊Q8×C107—24no—
232C22⋊Q8×C107—24no—
233C22⋊Q8×C107—24no—
234#121×C107—24no—
235#121×C107—24no—
236#121×C107—24no—
237#121×C107—24no—
238#121×C107—24no—
239#121×C107—24no—
240#121×C107—24no—
241#121×C107—42no—
242#121×C107—42no—
243C4×D4×C107—24no—
244C4×D4×C107—24no—
245C4×D4×C107D418yescomplemented
246#117×C107—24no—
247#117×C107—42no—
248C2×C4⋊C4×C107—24no—
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×C4⋊C4×C107C2311yescharacteristic
263C2×C4⋊C4×C107C2311yescharacteristic
264C2×C4⋊C4×C107C2311yescharacteristic
265C2×C4⋊C4×C107C2311yescharacteristic
266C2×C4⋊C4×C107C2311yescharacteristic
267C2×C4⋊C4×C107C2311yescharacteristic
268C2×C4⋊C4×C107C2311yescharacteristic
269C2×C4⋊C4×C107C2311yescharacteristic
270C2×C4⋊C4×C107C2311yescharacteristic
271C2×C4⋊C4×C107C2311yescharacteristic
272C2×C4⋊C4×C107C2311yescharacteristic
273C2×C4⋊C4×C107C2311yescharacteristic
274C2×C4⋊C4×C107C2311yescharacteristic
275C2×C4⋊C4×C107C2311yescharacteristic
276C2×C4⋊C4×C107C2311yescharacteristic
277C2×C4⋊C4×C107C2311yescharacteristic
278C2×C4⋊C4×C107C2311yescharacteristic
279C2×C4⋊C4×C107C2311yescharacteristic
280C2×C4⋊C4×C107C2311yescharacteristic
281C2×C4⋊C4×C107C2311yescharacteristic
282C2×C4⋊C4×C107C2311yescharacteristic
283C2×C22⋊C4×C107C2311yescharacteristic
284C2×C22⋊C4×C107C2311yescharacteristic
285C2×C22⋊C4×C107C2311yescharacteristic
286C2×C22⋊C4×C107C2311yescharacteristic
287C2×C22⋊C4×C107C2311yescharacteristic
288C2×C22⋊C4×C107C2311yescharacteristic
289C2×C22⋊C4×C107C2311yescharacteristic
290C2×C22⋊C4×C107C2311yescharacteristic
291C2×C22⋊C4×C107C2311yescharacteristic
292C2×C22⋊C4×C107C2311yescharacteristic
293C2×C22⋊C4×C107C2311yescharacteristic
294C2×C22⋊C4×C107C2311yescharacteristic
295C2×C22⋊C4×C107C2311yescharacteristic
296C2×C22⋊C4×C107C2311yescharacteristic
297C2×C22⋊C4×C107C2311yescharacteristic
298C2×C22⋊C4×C107C2311yescharacteristic
299C2×C22⋊C4×C107C2311yescharacteristic
300C2×C22⋊C4×C107C2311yescharacteristic
301C2×C22⋊C4×C107C2311yescharacteristic
302C2×C22⋊C4×C107C2311yescharacteristic
303C2×C22⋊C4×C107C2311yescharacteristic
304C2×C22⋊C4×C107C2311yescharacteristic
305C2×C22⋊C4×C107C2311yescharacteristic
306C2×C22⋊C4×C107C2311yescharacteristic
307C2×C22⋊C4×C107C2311yescharacteristic
308C2×C22⋊C4×C107C2311yescharacteristic
309C2×C22⋊C4×C107C2311yescharacteristic
310C2×C22⋊C4×C107C2311yescharacteristic
311C2×C22⋊C4×C107C2311yescharacteristic
312C2×C22⋊C4×C107C2311yescharacteristic
313C2×C22⋊C4×C107C2311yescharacteristic
314C2×C22⋊C4×C107C2311yescharacteristic
315C2×C22⋊C4×C107C2311yescharacteristic
316C2×C22⋊C4×C107C2311yescharacteristic
317C2×C22⋊C4×C107C2311yescharacteristic
318C2×C22⋊C4×C107C2311yescharacteristic
319C2×C22⋊C4×C107C2311yescharacteristic
320C2×C22⋊C4×C107C2311yescharacteristic
321C2×C22⋊C4×C107C2311yescharacteristic
322C2×C22⋊C4×C107C2311yescharacteristic
323C2×C22⋊C4×C107C2311yescharacteristic
324C2×C22⋊C4×C107C2311yescharacteristic
325C2×C22⋊C4×C107C2311yescharacteristic
326C2×C22⋊C4×C107C2311yescharacteristic
327C2×C22⋊C4×C107C2311yescharacteristic
328C2×C22⋊C4×C107C2311yescharacteristic
329C2×C22⋊C4×C107C2311yescharacteristic
330C2×C22⋊C4×C107C2311yescharacteristic
331C2×C22⋊C4×C107C2311yescharacteristic
332C2×C22⋊C4×C107C2311yescharacteristic
333C2×C42×C107—42no—
334C2×C42×C107C2311yescharacteristic
335C2×C42×C107C2311yescharacteristic
336C2×C42×C107C2311yescharacteristic
337C2×C42×C107C2311yescharacteristic
338C2×C42×C107C2311yescharacteristic
339C2×C42×C107C2311yescharacteristic
340C2×C42×C107C2311yescharacteristic
341C2×C42×C107C2311yescharacteristic
342C2×C42×C107C2311yescharacteristic
343#95×C107C2311yescharacteristic
344#95×C107C2311yescharacteristic
345#95×C107C2311yescharacteristic
346#95×C107C2311yescharacteristic
347#95×C107C2311yescharacteristic
348#95×C107C2311yescharacteristic
349#95×C107C2311yescharacteristic
350#95×C107C2311yescharacteristic
351#95×C107C2311yescharacteristic
352#95×C107C2311yescharacteristic
353#95×C107C2311yescharacteristic
354#95×C107C2311yescharacteristic
355#95×C107C2311yescharacteristic
356#95×C107C2311yescharacteristic
357#95×C107C2311yescharacteristic
358#95×C107C2311yescharacteristic
359#95×C107C2311yescharacteristic
360#95×C107C2311yescharacteristic
361#95×C107C2311yescharacteristic
362#95×C107C2311yescharacteristic
363#95×C107C2311yescharacteristic
364#95×C107C2311yescharacteristic
365#95×C107C2311yescharacteristic
366#95×C107C2311yescharacteristic
367#95×C107C2311yescharacteristic
368#95×C107C2311yescharacteristic
369#95×C107C2311yescharacteristic
370#95×C107C2311yescharacteristic
371#95×C107C2311yescharacteristic
372#95×C107C2311yescharacteristic
373#95×C107C2311yescharacteristic
374#95×C107C2311yescharacteristic
375#95×C107C2311yescharacteristic
376#95×C107C2311yescharacteristic
377#95×C107C2311yescharacteristic
378#95×C107C2311yescharacteristic
379C24×C107C2411yescharacteristic
380C24×C107C2411yescharacteristic
381C24×C107C2411yescharacteristic
382C24×C107C2411yescharacteristic
383C24×C107C2411yescharacteristic
384C24×C107C2411yescharacteristic
385C2×Q8×C107—22no—
386C2×Q8×C107—41no—
387C2×Q8×C107—41no—
388C2×D4×C107—22no—
389C2×D4×C107—22no—
390C2×D4×C107—22no—
391C2×D4×C107—22no—
392C2×D4×C107—22no—
393C2×D4×C107—22no—
394C2×D4×C107—22no—
395C2×D4×C107—22no—
396C2×D4×C107—22no—
397C2×D4×C107—22no—
398C2×D4×C107—22no—
399C2×D4×C107—22no—
400C2×D4×C107—41no—
401C2×D4×C107—41no—
402C2×D4×C107—41no—
403C2×D4×C107—41no—
404C2×D4×C107—41no—
405C2×D4×C107—41no—
406C2×D4×C107—41no—
407C2×D4×C107—41no—
408C2×D4×C107—41no—
409C2×D4×C107—41no—
410C2×D4×C107—41no—
411C2×D4×C107—41no—
412C2×D4×C107—41no—
413C2×D4×C107—41no—
414C2×D4×C107—41no—
415C2×D4×C107—41no—
416C2×D4×C107—41no—
417C2×D4×C107—41no—
418C2×D4×C107—41no—
419C2×D4×C107—41no—
420C2×D4×C107—41no—
421C2×D4×C107—41no—
422C2×D4×C107—41no—
423C2×D4×C107—41no—
424C2×D4×C107—41no—
425C2×D4×C107—41no—
426C2×D4×C107—41no—
427C2×D4×C107—41no—
428C2×D4×C107—41no—
429C2×D4×C107—41no—
430C2×D4×C107—41no—
431C2×D4×C107—41no—
432C2×D4×C107C2×D414yes—
433C22×C4×C107—22no—
434C22×C4×C107—22no—
435C22×C4×C107—22no—
436C22×C4×C107—22no—
437C22×C4×C107—22no—
438C22×C4×C107—22no—
439C22×C4×C107—22no—
440C22×C4×C107—41no—
441C22×C4×C107—41no—
442C22×C4×C107—41no—
443C22×C4×C107—41no—
444C22×C4×C107—41no—
445C22×C4×C107—41no—
446C22×C4×C107—41no—
447C22×C4×C107—41no—
448C22×C4×C107—41no—
449C22×C4×C107—41no—
450C22×C4×C107—41no—
451C22×C4×C107—41no—
452C22×C4×C107—41no—
453C22×C4×C107—41no—
454C22×C4×C107—41no—
455C22×C4×C107—41no—
456C22×C4×C107—41no—
457C22×C4×C107—41no—
458C22×C4×C107—41no—
459C22×C4×C107—41no—
460C22×C4×C107—41no—
461C22×C4×C107C2×D414yes—
462C22×C4×C107C2×D414yes—
463C22×C4×C107C2411yescharacteristic
464C22×C4×C107C2411yescharacteristic
465C22×C4×C107C2411yescharacteristic
466C22×C4×C107C2411yescharacteristic
467C22×C4×C107C2411yescharacteristic
468C22×C4×C107C2411yescharacteristic
469C22×C4×C107C2411yescharacteristic
470C22×C4×C107C2411yescharacteristic
471C22×C4×C107C2411yescharacteristic
472C22×C4×C107C2411yescharacteristic
473C22×C4×C107C2411yescharacteristic
474C22×C4×C107C2411yescharacteristic
475C22×C4×C107C2411yescharacteristic
476C22×C4×C107C2411yescharacteristic
477C22×C4×C107C2411yescharacteristic
478C22×C4×C107C2411yescharacteristic
479C22×C4×C107C2411yescharacteristic
480C22×C4×C107C2411yescharacteristic
481C22×C4×C107C2411yescharacteristic
482C22×C4×C107C2411yescharacteristic
483C22×C4×C107C2411yescharacteristic
484C22×C4×C107C2411yescharacteristic
485C22×C4×C107C2411yescharacteristic
486C22×C4×C107C2411yescharacteristic
487C22×C4×C107C2411yescharacteristic
488C4⋊C4×C107—22no—
489C4⋊C4×C107—22no—
490C4⋊C4×C107—22no—
491C4⋊C4×C107—22no—
492C4⋊C4×C107—22no—
493C4⋊C4×C107—22no—
494C4⋊C4×C107—22no—
495C4⋊C4×C107—22no—
496C4⋊C4×C107—22no—
497C4⋊C4×C107—22no—
498C4⋊C4×C107—22no—
499C4⋊C4×C107—22no—
500C4⋊C4×C107—22no—
501C4⋊C4×C107—22no—
502C4⋊C4×C107—22no—
503C4⋊C4×C107—22no—
504C4⋊C4×C107—22no—
505C4⋊C4×C107—22no—
506C4⋊C4×C107—22no—
507C4⋊C4×C107—22no—
508C4⋊C4×C107—22no—
509C4⋊C4×C107—22no—
510C4⋊C4×C107—41no—
511C4⋊C4×C107—41no—
512C4⋊C4×C107—41no—
513C4⋊C4×C107—41no—
514C4⋊C4×C107—41no—
515C4⋊C4×C107—41no—
516C4⋊C4×C107—41no—
517C4⋊C4×C107—41no—
518C4⋊C4×C107—41no—
519C4⋊C4×C107—41no—
520C4⋊C4×C107—41no—
521C4⋊C4×C107C2×D414yes—
522C22⋊C4×C107—22no—
523C22⋊C4×C107—22no—
524C22⋊C4×C107—22no—
525C22⋊C4×C107—22no—
526C22⋊C4×C107—22no—
527C22⋊C4×C107—22no—
528C22⋊C4×C107—22no—
529C22⋊C4×C107—22no—
530C22⋊C4×C107—22no—
531C22⋊C4×C107—22no—
532C22⋊C4×C107—22no—
533C22⋊C4×C107—22no—
534C22⋊C4×C107—22no—
535C22⋊C4×C107—22no—
536C22⋊C4×C107—22no—
537C22⋊C4×C107—22no—
538C22⋊C4×C107—22no—
539C22⋊C4×C107—22no—
540C22⋊C4×C107—22no—
541C22⋊C4×C107—41no—
542C22⋊C4×C107—41no—
543C22⋊C4×C107—41no—
544C22⋊C4×C107—41no—
545C22⋊C4×C107—41no—
546C22⋊C4×C107—41no—
547C22⋊C4×C107—41no—
548C22⋊C4×C107—41no—
549C22⋊C4×C107—41no—
550C22⋊C4×C107—41no—
551C22⋊C4×C107—41no—
552C22⋊C4×C107—41no—
553C22⋊C4×C107—41no—
554C22⋊C4×C107—41no—
555C22⋊C4×C107—41no—
556C22⋊C4×C107—41no—
557C22⋊C4×C107—41no—
558C22⋊C4×C107—41no—
559C22⋊C4×C107—41no—
560C22⋊C4×C107—41no—
561C22⋊C4×C107—41no—
562C22⋊C4×C107—41no—
563C22⋊C4×C107—41no—
564C22⋊C4×C107—41no—
565C22⋊C4×C107—41no—
566C22⋊C4×C107—41no—
567C22⋊C4×C107—41no—
568C22⋊C4×C107—41no—
569C22⋊C4×C107—41no—
570C22⋊C4×C107C2×D414yes—
571C22⋊C4×C107C2×D414yes—
572C42×C107—22no—
573C42×C107—22no—
574C42×C107—22no—
575C42×C107—22no—
576C42×C107—41no—
577C42×C107—41no—
578C42×C107—41no—
579C42×C107—41no—
580C42×C107C2×D414yes—
581C23×C107—21no—
582C23×C107—21no—
583C23×C107—21no—
584C23×C107—21no—
585C23×C107—21no—
586C23×C107—21no—
587C23×C107—21no—
588C23×C107—21no—
589C23×C107—21no—
590C23×C107—21no—
591C23×C107—21no—
592C23×C107—21no—
593C23×C107—21no—
594C23×C107—21no—
595C23×C107—21no—
596C23×C107—21no—
597C23×C107—21no—
598C23×C107—21no—
599C23×C107—21no—
600C23×C107—21no—
601C23×C107—21no—
602C23×C107—21no—
603C23×C107—21no—
604C23×C107—21no—
605C23×C107—21no—
606C23×C107—21no—
607C23×C107—21no—
608C23×C107—21no—
609C23×C107—21no—
610C23×C107—21no—
611C23×C107—21no—
612C23×C107—21no—
613C23×C107—21no—
614C23×C107—21no—
615C23×C107—21no—
616C23×C107—21no—
617C23×C107—21no—
618C23×C107—21no—
619C23×C107—21no—
620C23×C107—21no—
621C23×C107C22×D412yes—
622C23×C107C22×D412yes—
623C23×C107C2511yescharacteristic
624Q8×C107—82no—
625D4×C107—44no—
626D4×C107—44no—
627D4×C107—44no—
628D4×C107—82no—
629D4×C107—82no—
630D4×C107—82no—
631D4×C107—82no—
632D4×C107—82no—
633D4×C107—82no—
634D4×C107—82no—
635D4×C107—82no—
636D4×C107—82no—
637D4×C107—82no—
638D4×C107—82no—
639D4×C107—82no—
640C2×C4×C107—21no—
641C2×C4×C107—21no—
642C2×C4×C107—21no—
643C2×C4×C107—21no—
644C2×C4×C107—21no—
645C2×C4×C107—21no—
646C2×C4×C107—21no—
647C2×C4×C107—21no—
648C2×C4×C107—21no—
649C2×C4×C107—21no—
650C2×C4×C107—21no—
651C2×C4×C107—21no—
652C2×C4×C107—21no—
653C2×C4×C107—21no—
654C2×C4×C107—21no—
655C2×C4×C107—21no—
656C2×C4×C107—21no—
657C2×C4×C107—21no—
658C2×C4×C107—21no—
659C2×C4×C107—21no—
660C2×C4×C107—21no—
661C2×C4×C107—21no—
662C2×C4×C107—21no—
663C2×C4×C107—21no—
664C2×C4×C107—21no—
665C2×C4×C107—21no—
666C2×C4×C107—21no—
667C2×C4×C107—21no—
668C2×C4×C107—21no—
669C2×C4×C107—21no—
670C2×C4×C107—21no—
671C2×C4×C107—21no—
672C2×C4×C107—21no—
673C2×C4×C107—21no—
674C2×C4×C107—21no—
675C2×C4×C107—21no—
676C2×C4×C107—21no—
677C2×C4×C107—21no—
678C2×C4×C107—21no—
679C2×C4×C107—21no—
680C2×C4×C107—21no—
681C2×C4×C107—21no—
682C2×C4×C107—21no—
683C2×C4×C107—21no—
684C2×C4×C107—21no—
685C2×C4×C107—21no—
686C2×C4×C107—21no—
687C2×C4×C107—21no—
688C2×C4×C107—21no—
689C2×C4×C107—21no—
690C2×C4×C107—21no—
691C2×C4×C107—21no—
692C2×C4×C107—21no—
693C2×C4×C107—21no—
694C2×C4×C107—21no—
695C2×C4×C107—21no—
696C2×C4×C107—21no—
697C2×C4×C107—21no—
698C2×C4×C107—21no—
699C2×C4×C107—21no—
700C2×C4×C107—21no—
701C2×C4×C107—21no—
702C2×C4×C107—21no—
703C2×C4×C107—21no—
704C2×C4×C107—21no—
705C2×C4×C107—21no—
706C2×C4×C107—21no—
707C2×C4×C107—21no—
708C2×C4×C107—21no—
709C2×C4×C107—44no—
710C2×C4×C107—44no—
711C2×C4×C107—44no—
712C2×C4×C107—44no—
713C2×C4×C107—44no—
714C2×C4×C107—44no—
715C2×C4×C107—82no—
716C2×C4×C107—82no—
717C2×C4×C107—82no—
718C2×C4×C107—82no—
719C2×C4×C107C22×D412yes—
720C2×C4×C107C22×D412yes—
721C2×C4×C107C22×D412yes—
722C2×C4×C107C22×D412yes—
723C2×C4×C107C22×D412yes—
724C2×C4×C107H(5,𝔽2)12yes—
725C22×C107—22no—
726C22×C107—22no—
727C22×C107—22no—
728C22×C107—22no—
729C22×C107—22no—
730C22×C107—22no—
731C22×C107—41no—
732C22×C107—41no—
733C22×C107—41no—
734C22×C107—41no—
735C22×C107—41no—
736C22×C107—41no—
737C22×C107—41no—
738C22×C107—41no—
739C22×C107—41no—
740C22×C107—41no—
741C22×C107—41no—
742C22×C107—41no—
743C22×C107—41no—
744C22×C107—41no—
745C22×C107—41no—
746C22×C107—41no—
747C22×C107—41no—
748C22×C107—41no—
749C22×C107—41no—
750C22×C107—41no—
751C22×C107—41no—
752C22×C107—41no—
753C22×C107—41no—
754C22×C107—41no—
755C22×C107—41no—
756C22×C107—41no—
757C22×C107—41no—
758C22×C107—41no—
759C22×C107—41no—
760C22×C107—41no—
761C22×C107—41no—
762C22×C107—41no—
763C22×C107—41no—
764C22×C107—41no—
765C22×C107—41no—
766C22×C107—41no—
767C22×C107C23×D411yescharacteristic
768C22×C107C2×H(5,𝔽2)11yescharacteristic
769C22×C107#58511yescharacteristic
770C22×C107#58511yescharacteristic
771C22×C107#58511yescharacteristic
772C22×C107#58511yescharacteristic
773C22×C107#58511yescharacteristic
774C4×C107—22no—
775C4×C107—22no—
776C4×C107—22no—
777C4×C107—22no—
778C4×C107—22no—
779C4×C107—22no—
780C4×C107—41no—
781C4×C107—41no—
782C4×C107—41no—
783C4×C107—41no—
784C4×C107—41no—
785C4×C107—41no—
786C4×C107—41no—
787C4×C107—41no—
788C4×C107—41no—
789C4×C107—41no—
790C4×C107—41no—
791C4×C107—41no—
792C4×C107—41no—
793C4×C107—41no—
794C4×C107—41no—
795C4×C107—41no—
796C4×C107—41no—
797C4×C107—41no—
798C4×C107—41no—
799#36746C10711yesmaximal, characteristic, direct product factor, Sylow
800C2×C107—42no—
801C2×C107—42no—
802C2×C107—81no—
803C2×C107—81no—
804C2×C107—81no—
805C2×C107—81no—
806C2×C107#344911yescharacteristic
807C2×C107#349611yescharacteristic
808C2×C107#350011yescharacteristic
809C2×C107#353311yescharacteristic
810C2×C107#353911yescharacteristic
811C2×C107#356611yescharacteristic
812C2×C107#356711yescharacteristic
813C2×#540C2×C10711yescharacteristic, complemented
814C2×#539C2×C10711yescharacteristic, complemented
815#2854C2×C10711yescharacteristic, complemented
816#2850C2×C10711yescharacteristic, complemented
817#2719C2×C10711yescharacteristic, complemented
818#2711C2×C10711yescharacteristic, complemented
819#2709C2×C10711yescharacteristic, complemented
820#2708C2×C10711yescharacteristic, complemented
821#2706C2×C10711yescharacteristic, complemented
822#2703C2×C10711yescharacteristic, complemented
823#2695C2×C10711yescharacteristic, complemented
824#2693C2×C10711yescharacteristic, complemented
825#2691C2×C10711yescharacteristic, complemented
826#2690C2×C10711yescharacteristic, complemented
827#2688C2×C10711yescharacteristic, complemented
828#2687C2×C10711yescharacteristic, complemented
829#2676C2×C10711yescharacteristic, complemented
830#2673C2×C10711yescharacteristic, complemented
831#2672C2×C10711yescharacteristic, complemented
832#2671C2×C10711yescharacteristic, complemented
833#2663C2×C10711yescharacteristic, complemented
834#2661C2×C10711yescharacteristic, complemented
835#2611C2×C10711yescharacteristic, complemented
836#2603C2×C10711yescharacteristic, complemented
837#2602C2×C10711yescharacteristic, complemented
838#2601C2×C10711yescharacteristic, complemented
839#2591C2×C10711yescharacteristic, complemented
840#2562C2×C10711yescharacteristic, complemented
841#2414C2×C10711yescharacteristic, complemented
842#2413C2×C10711yescharacteristic, complemented
843#2290C2×C10711yescharacteristic, complemented
844C107#3674611yescharacteristic, direct product factor, Sylow
845#540—28no—
846#539—28no—
847C2×#127C22×C10711yescharacteristic
848C2×#126C22×C10711yescharacteristic
849C2×#126C22×C10711yescharacteristic
850C2×#125C22×C10711yescharacteristic
851C2×#125C22×C10711yescharacteristic
852C2×#125C22×C10711yescharacteristic
853C2×#124C22×C10711yescharacteristic
854C2×#123C22×C10711yescharacteristic
855C2×#123C22×C10711yescharacteristic
856C2×#123C22×C10711yescharacteristic
857C2×#123C22×C10711yescharacteristic
858C2×#123C22×C10711yescharacteristic
859C2×#123C22×C10711yescharacteristic
860C2×#123C22×C10711yescharacteristic
861C2×#123C22×C10711yescharacteristic
862C2×#123C22×C10711yescharacteristic
863C2×C22⋊Q8C22×C10711yescharacteristic
864C2×C22⋊Q8C22×C10711yescharacteristic
865C2×C22⋊Q8C22×C10711yescharacteristic
866C2×#121C22×C10711yescharacteristic
867C2×#121C22×C10711yescharacteristic
868C2×#121C22×C10711yescharacteristic
869C2×#121C22×C10711yescharacteristic
870C2×#121C22×C10711yescharacteristic
871C2×#121C22×C10711yescharacteristic
872C2×#121C22×C10711yescharacteristic
873C2×#121C22×C10711yescharacteristic
874C2×#121C22×C10711yescharacteristic
875C2×C4×D4C22×C10711yescharacteristic
876C2×C4×D4C22×C10711yescharacteristic
877C2×C4×D4C22×C10711yescharacteristic
878C2×#117C22×C10711yescharacteristic
879C2×#117C22×C10711yescharacteristic
880C22×C4⋊C4C22×C10711yescharacteristic
881C22×C42C22×C10711yescharacteristic
882#400C22×C10711yescharacteristic
883#400C22×C10711yescharacteristic
884#400C22×C10711yescharacteristic
885#400C22×C10711yescharacteristic
886#400C22×C10711yescharacteristic
887#400C22×C10711yescharacteristic
888#399C22×C10711yescharacteristic
889#399C22×C10711yescharacteristic
890#398C22×C10711yescharacteristic
891#398C22×C10711yescharacteristic
892#398C22×C10711yescharacteristic
893#398C22×C10711yescharacteristic
894#398C22×C10711yescharacteristic
895#398C22×C10711yescharacteristic
896#397C22×C10711yescharacteristic
897#397C22×C10711yescharacteristic
898#397C22×C10711yescharacteristic
899#397C22×C10711yescharacteristic
900#397C22×C10711yescharacteristic
901#397C22×C10711yescharacteristic
902#396C22×C10711yescharacteristic
903#396C22×C10711yescharacteristic
904#396C22×C10711yescharacteristic
905#396C22×C10711yescharacteristic
906#395C22×C10711yescharacteristic
907#394C22×C10711yescharacteristic
908#394C22×C10711yescharacteristic
909#394C22×C10711yescharacteristic
910#394C22×C10711yescharacteristic
911#394C22×C10711yescharacteristic
912#394C22×C10711yescharacteristic
913#394C22×C10711yescharacteristic
914#394C22×C10711yescharacteristic
915#394C22×C10711yescharacteristic
916#394C22×C10711yescharacteristic
917#394C22×C10711yescharacteristic
918#394C22×C10711yescharacteristic
919#394C22×C10711yescharacteristic
920#394C22×C10711yescharacteristic
921#394C22×C10711yescharacteristic
922#393C22×C10711yescharacteristic
923#392C22×C10711yescharacteristic
924#392C22×C10711yescharacteristic
925#392C22×C10711yescharacteristic
926#392C22×C10711yescharacteristic
927#392C22×C10711yescharacteristic
928#392C22×C10711yescharacteristic
929#392C22×C10711yescharacteristic
930#391C22×C10711yescharacteristic
931#390C22×C10711yescharacteristic
932#390C22×C10711yescharacteristic
933#390C22×C10711yescharacteristic
934#390C22×C10711yescharacteristic
935#390C22×C10711yescharacteristic
936#390C22×C10711yescharacteristic
937#389C22×C10711yescharacteristic
938#389C22×C10711yescharacteristic
939#389C22×C10711yescharacteristic
940#389C22×C10711yescharacteristic
941#389C22×C10711yescharacteristic
942#388C22×C10711yescharacteristic
943#388C22×C10711yescharacteristic
944#388C22×C10711yescharacteristic
945#388C22×C10711yescharacteristic
946#388C22×C10711yescharacteristic
947#388C22×C10711yescharacteristic
948#388C22×C10711yescharacteristic
949#388C22×C10711yescharacteristic
950#388C22×C10711yescharacteristic
951#388C22×C10711yescharacteristic
952#388C22×C10711yescharacteristic
953#388C22×C10711yescharacteristic
954#388C22×C10711yescharacteristic
955#388C22×C10711yescharacteristic
956#388C22×C10711yescharacteristic
957#388C22×C10711yescharacteristic
958#387C22×C10711yescharacteristic
959#387C22×C10711yescharacteristic
960#387C22×C10711yescharacteristic
961#387C22×C10711yescharacteristic
962#387C22×C10711yescharacteristic
963#387C22×C10711yescharacteristic
964#386C22×C10711yescharacteristic
965#386C22×C10711yescharacteristic
966#386C22×C10711yescharacteristic
967#386C22×C10711yescharacteristic
968#386C22×C10711yescharacteristic
969#386C22×C10711yescharacteristic
970#386C22×C10711yescharacteristic
971#386C22×C10711yescharacteristic
972#386C22×C10711yescharacteristic
973#386C22×C10711yescharacteristic
974#386C22×C10711yescharacteristic
975#386C22×C10711yescharacteristic
976#386C22×C10711yescharacteristic
977#386C22×C10711yescharacteristic
978#386C22×C10711yescharacteristic
979#386C22×C10711yescharacteristic
980#386C22×C10711yescharacteristic
981#385C22×C10711yescharacteristic
982#385C22×C10711yescharacteristic
983#385C22×C10711yescharacteristic
984#385C22×C10711yescharacteristic
985#385C22×C10711yescharacteristic
986#385C22×C10711yescharacteristic
987#385C22×C10711yescharacteristic
988#385C22×C10711yescharacteristic
989#385C22×C10711yescharacteristic
990#382C22×C10711yescharacteristic
991#381C22×C10711yescharacteristic
992#380C22×C10711yescharacteristic
993#380C22×C10711yescharacteristic
994#380C22×C10711yescharacteristic
995#380C22×C10711yescharacteristic
996#380C22×C10711yescharacteristic
997#380C22×C10711yescharacteristic
998C4×C4⋊C4C22×C10711yescharacteristic
999C4×C22⋊C4C22×C10711yescharacteristic
1000C4×C22⋊C4C22×C10711yescharacteristic
1001#376C22×C10711yescharacteristic
1002C22×Q8C23×C10711yescharacteristic
1003C22×D4C23×C10711yescharacteristic
1004C22×D4C23×C10711yescharacteristic
1005C22×D4C23×C10711yescharacteristic
1006C22×D4C23×C10711yescharacteristic
1007C22×D4C23×C10711yescharacteristic
1008C22×D4C23×C10711yescharacteristic
1009C22×D4C23×C10711yescharacteristic
1010C22×D4C23×C10711yescharacteristic
1011C22×D4C23×C10711yescharacteristic
1012C22×D4C23×C10711yescharacteristic
1013C22×D4C23×C10711yescharacteristic
1014C22×D4C23×C10711yescharacteristic
1015C22×D4C23×C10711yescharacteristic
1016C22×D4C23×C10711yescharacteristic
1017C22×D4C23×C10711yescharacteristic
1018C23×C4C23×C10711yescharacteristic
1019C23×C4C23×C10711yescharacteristic
1020C23×C4C23×C10711yescharacteristic
1021C23×C4C23×C10711yescharacteristic
1022C23×C4C23×C10711yescharacteristic
1023C23×C4C23×C10711yescharacteristic
1024C23×C4C23×C10711yescharacteristic
1025C23×C4C23×C10711yescharacteristic
1026C23×C4C23×C10711yescharacteristic
1027C23×C4C23×C10711yescharacteristic
1028#127—24no—
1029#126—24no—
1030#126—24no—
1031#125—24no—
1032#125—24no—
1033#125—24no—
1034#124—42no—
1035#123—24no—
1036#123—24no—
1037#123—24no—
1038#123—24no—
1039#123—24no—
1040#123—24no—
1041#123—24no—
1042#123—24no—
1043#123—42no—
1044C22⋊Q8—24no—
1045C22⋊Q8—24no—
1046C22⋊Q8—24no—
1047#121—24no—
1048#121—24no—
1049#121—24no—
1050#121—24no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—42no—
1055#121—42no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4D4×C10718yescomplemented
1059#117—24no—
1060#117—42no—
1061C2×C4⋊C4—24no—
1062C2×C4⋊C4C23×C10711yescharacteristic
1063C2×C4⋊C4C23×C10711yescharacteristic
1064C2×C4⋊C4C23×C10711yescharacteristic
1065C2×C4⋊C4C23×C10711yescharacteristic
1066C2×C4⋊C4C23×C10711yescharacteristic
1067C2×C4⋊C4C23×C10711yescharacteristic
1068C2×C4⋊C4C23×C10711yescharacteristic
1069C2×C4⋊C4C23×C10711yescharacteristic
1070C2×C4⋊C4C23×C10711yescharacteristic
1071C2×C4⋊C4C23×C10711yescharacteristic
1072C2×C4⋊C4C23×C10711yescharacteristic
1073C2×C4⋊C4C23×C10711yescharacteristic
1074C2×C4⋊C4C23×C10711yescharacteristic
1075C2×C4⋊C4C23×C10711yescharacteristic
1076C2×C4⋊C4C23×C10711yescharacteristic
1077C2×C4⋊C4C23×C10711yescharacteristic
1078C2×C4⋊C4C23×C10711yescharacteristic
1079C2×C4⋊C4C23×C10711yescharacteristic
1080C2×C4⋊C4C23×C10711yescharacteristic
1081C2×C4⋊C4C23×C10711yescharacteristic
1082C2×C4⋊C4C23×C10711yescharacteristic
1083C2×C4⋊C4C23×C10711yescharacteristic
1084C2×C4⋊C4C23×C10711yescharacteristic
1085C2×C4⋊C4C23×C10711yescharacteristic
1086C2×C4⋊C4C23×C10711yescharacteristic
1087C2×C4⋊C4C23×C10711yescharacteristic
1088C2×C4⋊C4C23×C10711yescharacteristic
1089C2×C4⋊C4C23×C10711yescharacteristic
1090C2×C4⋊C4C23×C10711yescharacteristic
1091C2×C4⋊C4C23×C10711yescharacteristic
1092C2×C4⋊C4C23×C10711yescharacteristic
1093C2×C4⋊C4C23×C10711yescharacteristic
1094C2×C4⋊C4C23×C10711yescharacteristic
1095C2×C4⋊C4C23×C10711yescharacteristic
1096C2×C22⋊C4C23×C10711yescharacteristic
1097C2×C22⋊C4C23×C10711yescharacteristic
1098C2×C22⋊C4C23×C10711yescharacteristic
1099C2×C22⋊C4C23×C10711yescharacteristic
1100C2×C22⋊C4C23×C10711yescharacteristic
1101C2×C22⋊C4C23×C10711yescharacteristic
1102C2×C22⋊C4C23×C10711yescharacteristic
1103C2×C22⋊C4C23×C10711yescharacteristic
1104C2×C22⋊C4C23×C10711yescharacteristic
1105C2×C22⋊C4C23×C10711yescharacteristic
1106C2×C22⋊C4C23×C10711yescharacteristic
1107C2×C22⋊C4C23×C10711yescharacteristic
1108C2×C22⋊C4C23×C10711yescharacteristic
1109C2×C22⋊C4C23×C10711yescharacteristic
1110C2×C22⋊C4C23×C10711yescharacteristic
1111C2×C22⋊C4C23×C10711yescharacteristic
1112C2×C22⋊C4C23×C10711yescharacteristic
1113C2×C22⋊C4C23×C10711yescharacteristic
1114C2×C22⋊C4C23×C10711yescharacteristic
1115C2×C22⋊C4C23×C10711yescharacteristic
1116C2×C22⋊C4C23×C10711yescharacteristic
1117C2×C22⋊C4C23×C10711yescharacteristic
1118C2×C22⋊C4C23×C10711yescharacteristic
1119C2×C22⋊C4C23×C10711yescharacteristic
1120C2×C22⋊C4C23×C10711yescharacteristic
1121C2×C22⋊C4C23×C10711yescharacteristic
1122C2×C22⋊C4C23×C10711yescharacteristic
1123C2×C22⋊C4C23×C10711yescharacteristic
1124C2×C22⋊C4C23×C10711yescharacteristic
1125C2×C22⋊C4C23×C10711yescharacteristic
1126C2×C22⋊C4C23×C10711yescharacteristic
1127C2×C22⋊C4C23×C10711yescharacteristic
1128C2×C22⋊C4C23×C10711yescharacteristic
1129C2×C22⋊C4C23×C10711yescharacteristic
1130C2×C22⋊C4C23×C10711yescharacteristic
1131C2×C22⋊C4C23×C10711yescharacteristic
1132C2×C22⋊C4C23×C10711yescharacteristic
1133C2×C22⋊C4C23×C10711yescharacteristic
1134C2×C22⋊C4C23×C10711yescharacteristic
1135C2×C22⋊C4C23×C10711yescharacteristic
1136C2×C22⋊C4C23×C10711yescharacteristic
1137C2×C22⋊C4C23×C10711yescharacteristic
1138C2×C22⋊C4C23×C10711yescharacteristic
1139C2×C22⋊C4C23×C10711yescharacteristic
1140C2×C22⋊C4C23×C10711yescharacteristic
1141C2×C22⋊C4C23×C10711yescharacteristic
1142C2×C22⋊C4C23×C10711yescharacteristic
1143C2×C22⋊C4C23×C10711yescharacteristic
1144C2×C22⋊C4C23×C10711yescharacteristic
1145C2×C22⋊C4C23×C10711yescharacteristic
1146C2×C42—42no—
1147C2×C42C23×C10711yescharacteristic
1148C2×C42C23×C10711yescharacteristic
1149C2×C42C23×C10711yescharacteristic
1150C2×C42C23×C10711yescharacteristic
1151C2×C42C23×C10711yescharacteristic
1152C2×C42C23×C10711yescharacteristic
1153C2×C42C23×C10711yescharacteristic
1154C2×C42C23×C10711yescharacteristic
1155C2×C42C23×C10711yescharacteristic
1156#95C23×C10711yescharacteristic
1157#95C23×C10711yescharacteristic
1158#95C23×C10711yescharacteristic
1159#95C23×C10711yescharacteristic
1160#95C23×C10711yescharacteristic
1161#95C23×C10711yescharacteristic
1162#95C23×C10711yescharacteristic
1163#95C23×C10711yescharacteristic
1164#95C23×C10711yescharacteristic
1165#95C23×C10711yescharacteristic
1166#95C23×C10711yescharacteristic
1167#95C23×C10711yescharacteristic
1168#95C23×C10711yescharacteristic
1169#95C23×C10711yescharacteristic
1170#95C23×C10711yescharacteristic
1171#95C23×C10711yescharacteristic
1172#95C23×C10711yescharacteristic
1173#95C23×C10711yescharacteristic
1174#95C23×C10711yescharacteristic
1175#95C23×C10711yescharacteristic
1176#95C23×C10711yescharacteristic
1177#95C23×C10711yescharacteristic
1178#95C23×C10711yescharacteristic
1179#95C23×C10711yescharacteristic
1180#95C23×C10711yescharacteristic
1181#95C23×C10711yescharacteristic
1182#95C23×C10711yescharacteristic
1183#95C23×C10711yescharacteristic
1184#95C23×C10711yescharacteristic
1185#95C23×C10711yescharacteristic
1186#95C23×C10711yescharacteristic
1187#95C23×C10711yescharacteristic
1188#95C23×C10711yescharacteristic
1189#95C23×C10711yescharacteristic
1190#95C23×C10711yescharacteristic
1191#95C23×C10711yescharacteristic
1192C24C24×C10711yescharacteristic
1193C24C24×C10711yescharacteristic
1194C24C24×C10711yescharacteristic
1195C24C24×C10711yescharacteristic
1196C24C24×C10711yescharacteristic
1197C24C24×C10711yescharacteristic
1198C2×Q8—22no—
1199C2×Q8—41no—
1200C2×Q8—41no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4C2×D4×C10714yes—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4C2×D4×C10714yes—
1275C22×C4C2×D4×C10714yes—
1276C22×C4C24×C10711yescharacteristic
1277C22×C4C24×C10711yescharacteristic
1278C22×C4C24×C10711yescharacteristic
1279C22×C4C24×C10711yescharacteristic
1280C22×C4C24×C10711yescharacteristic
1281C22×C4C24×C10711yescharacteristic
1282C22×C4C24×C10711yescharacteristic
1283C22×C4C24×C10711yescharacteristic
1284C22×C4C24×C10711yescharacteristic
1285C22×C4C24×C10711yescharacteristic
1286C22×C4C24×C10711yescharacteristic
1287C22×C4C24×C10711yescharacteristic
1288C22×C4C24×C10711yescharacteristic
1289C22×C4C24×C10711yescharacteristic
1290C22×C4C24×C10711yescharacteristic
1291C22×C4C24×C10711yescharacteristic
1292C22×C4C24×C10711yescharacteristic
1293C22×C4C24×C10711yescharacteristic
1294C22×C4C24×C10711yescharacteristic
1295C22×C4C24×C10711yescharacteristic
1296C22×C4C24×C10711yescharacteristic
1297C22×C4C24×C10711yescharacteristic
1298C22×C4C24×C10711yescharacteristic
1299C22×C4C24×C10711yescharacteristic
1300C22×C4C24×C10711yescharacteristic
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4C2×D4×C10714yes—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4C2×D4×C10714yes—
1384C22⋊C4C2×D4×C10714yes—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C42—41no—
1393C42C2×D4×C10714yes—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23C22×D4×C10712yes—
1435C23C22×D4×C10712yes—
1436C23C25×C10711yescharacteristic
1437Q8—82no—
1438D4—44no—
1439D4—44no—
1440D4—44no—
1441D4—82no—
1442D4—82no—
1443D4—82no—
1444D4—82no—
1445D4—82no—
1446D4—82no—
1447D4—82no—
1448D4—82no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4C22×D4×C10712yes—
1533C2×C4C22×D4×C10712yes—
1534C2×C4C22×D4×C10712yes—
1535C2×C4C22×D4×C10712yes—
1536C2×C4C22×D4×C10712yes—
1537C2×C4H(5,𝔽2)×C10712yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22C23×D4×C10711yescharacteristic
1581C22C2×H(5,𝔽2)×C10711yescharacteristic
1582C22#585×C10711yescharacteristic
1583C22#585×C10711yescharacteristic
1584C22#585×C10711yescharacteristic
1585C22#585×C10711yescharacteristic
1586C22#585×C10711yescharacteristic
1587C4—22no—
1588C4—22no—
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C2—42no—
1613C2—42no—
1614C2—81no—
1615C2—81no—
1616C2—81no—
1617C2—81no—
1618C2C107×#344911yescharacteristic
1619C2C107×#349611yescharacteristic
1620C2C107×#350011yescharacteristic
1621C2C107×#353311yescharacteristic
1622C2C107×#353911yescharacteristic
1623C2C107×#356611yescharacteristic
1624C2C107×#356711yescharacteristic
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. C2×#540×C107C2semidirect
2. C2×#539×C107C2semidirect
3. C107×#2854C2semidirect
4. C107×#2850C2semidirect
5. C107×#2719C2semidirect
6. C107×#2711C2semidirect
7. C107×#2709C2semidirect
8. C107×#2708C2semidirect
9. C107×#2706C2semidirect
10. C107×#2703C2semidirect
11. C107×#2695C2semidirect
12. C107×#2693C2semidirect
13. C107×#2691C2semidirect
14. C107×#2690C2semidirect
15. C107×#2688C2semidirect
16. C107×#2687C2semidirect
17. C107×#2676C2semidirect
18. C107×#2673C2semidirect
19. C107×#2672C2semidirect
20. C107×#2671C2semidirect
21. C107×#2663C2semidirect
22. C107×#2661C2semidirect
23. C107×#2611C2semidirect
24. C107×#2603C2semidirect
25. C107×#2602C2semidirect
26. C107×#2601C2semidirect
27. C107×#2591C2semidirect
28. C107×#2562C2semidirect
29. C107×#2414C2semidirect
30. C107×#2413C2semidirect
31. C107×#2290C2semidirect
245. C4×D4×C107D4semidirect
799. #36746C107direct (N × H)
813. C2×#540C2×C107semidirect
814. C2×#539C2×C107semidirect
815. #2854C2×C107semidirect
816. #2850C2×C107semidirect
817. #2719C2×C107semidirect
818. #2711C2×C107semidirect
819. #2709C2×C107semidirect
820. #2708C2×C107semidirect
821. #2706C2×C107semidirect
822. #2703C2×C107semidirect
823. #2695C2×C107semidirect
824. #2693C2×C107semidirect
825. #2691C2×C107semidirect
826. #2690C2×C107semidirect
827. #2688C2×C107semidirect
828. #2687C2×C107semidirect
829. #2676C2×C107semidirect
830. #2673C2×C107semidirect
831. #2672C2×C107semidirect
832. #2671C2×C107semidirect
833. #2663C2×C107semidirect
834. #2661C2×C107semidirect
835. #2611C2×C107semidirect
836. #2603C2×C107semidirect
837. #2602C2×C107semidirect
838. #2601C2×C107semidirect
839. #2591C2×C107semidirect
840. #2562C2×C107semidirect
841. #2414C2×C107semidirect
842. #2413C2×C107semidirect
843. #2290C2×C107semidirect
844. C107#36746direct (N × H)
1058. C4×D4D4×C107semidirect

Maximal subgroups

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

subgroupindex
C2×#540×C1072
C2×#539×C1072
C107×#28542
C107×#28502
C107×#27192
C107×#27112
C107×#27092
C107×#27082
C107×#27062
C107×#27032
C107×#26952
C107×#26932
C107×#26912
C107×#26902
C107×#26882
C107×#26872
C107×#26762
C107×#26732
C107×#26722
C107×#26712
C107×#26632
C107×#26612
C107×#26112
C107×#26032
C107×#26022
C107×#26012
C107×#25912
C107×#25622
C107×#24142
C107×#24132
C107×#22902
#36746107