Finite Group Databasebeta

← C137×#35009 #46884395

Subgroups — C137×#35009 #46884395

Order 35072.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C137C211yesmaximal, characteristic, complemented
2C2×#538×C137C211yesmaximal, characteristic, complemented
3#2861×C137C211yesmaximal, characteristic, complemented
4#2860×C137C211yesmaximal, characteristic, complemented
5#2854×C137C211yesmaximal, characteristic, complemented
6#2850×C137C211yesmaximal, characteristic, complemented
7#2664×C137C211yesmaximal, characteristic, complemented
8#2663×C137C211yesmaximal, characteristic, complemented
9#2662×C137C211yesmaximal, characteristic, complemented
10#2661×C137C211yesmaximal, characteristic, complemented
11#2560×C137C211yesmaximal, characteristic, complemented
12#2559×C137C211yesmaximal, characteristic, complemented
13#2558×C137C211yesmaximal, characteristic, complemented
14#2557×C137C211yesmaximal, characteristic, complemented
15#2549×C137C211yesmaximal, characteristic, complemented
16#2543×C137C211yesmaximal, characteristic, complemented
17#2539×C137C211yesmaximal, characteristic, complemented
18#2534×C137C211yesmaximal, characteristic, complemented
19#2521×C137C211yesmaximal, characteristic, complemented
20#2519×C137C211yesmaximal, characteristic, complemented
21#2488×C137C211yesmaximal, characteristic, complemented
22#2472×C137C211yesmaximal, characteristic, complemented
23#2464×C137C211yesmaximal, characteristic, complemented
24#2461×C137C211yesmaximal, characteristic, complemented
25#2425×C137C211yesmaximal, characteristic, complemented
26#2424×C137C211yesmaximal, characteristic, complemented
27#2322×C137C211yesmaximal, characteristic, complemented
28#2321×C137C211yesmaximal, characteristic, complemented
29C4×#121×C137C211yesmaximal, characteristic, complemented
30C2×#388×C137C211yesmaximal, characteristic, complemented
31C42×D4×C137C211yesmaximal, characteristic, complemented
32#539×C137—28no—
33#538×C137—28no—
34C2×#126×C137C2211yescharacteristic
35C2×#126×C137C2211yescharacteristic
36C2×#126×C137C2211yescharacteristic, complemented
37C2×#126×C137C2211yescharacteristic, complemented
38C2×#125×C137C2211yescharacteristic, complemented
39C2×#125×C137C2211yescharacteristic, complemented
40C2×#124×C137C2211yescharacteristic
41C2×#124×C137C2211yescharacteristic
42C2×#124×C137C2211yescharacteristic
43C2×#123×C137C2211yescharacteristic
44C2×#123×C137C2211yescharacteristic
45C2×#123×C137C2211yescharacteristic
46C2×#123×C137C2211yescharacteristic
47C2×#123×C137C2211yescharacteristic
48C2×#123×C137C2211yescharacteristic, complemented
49C2×#123×C137C2211yescharacteristic, complemented
50C2×C22⋊Q8×C137C2211yescharacteristic
51C2×C22⋊Q8×C137C2211yescharacteristic
52C2×C22⋊Q8×C137C2211yescharacteristic, complemented
53C2×C22⋊Q8×C137C2211yescharacteristic, complemented
54C2×#121×C137C2211yescharacteristic
55C2×#121×C137C2211yescharacteristic
56C2×#121×C137C2211yescharacteristic
57C2×#121×C137C2211yescharacteristic
58C2×#121×C137C2211yescharacteristic
59C2×#121×C137C2211yescharacteristic
60C2×#120×C137C2211yescharacteristic
61C2×#120×C137C2211yescharacteristic
62C2×#120×C137C2211yescharacteristic
63C2×C4×D4×C137C2211yescharacteristic
64C2×C4×D4×C137C2211yescharacteristic
65C2×C4×D4×C137C2211yescharacteristic
66C2×C4×D4×C137C2211yescharacteristic
67C2×C4×D4×C137C2211yescharacteristic
68C2×C4×D4×C137C2211yescharacteristic, complemented
69C22×C4⋊C4×C137C2211yescharacteristic
70C22×C22⋊C4×C137C2211yescharacteristic
71C22×C22⋊C4×C137C2211yescharacteristic
72C22×C22⋊C4×C137C2211yescharacteristic
73C22×C42×C137C2211yescharacteristic
74C22×C42×C137C2211yescharacteristic, complemented
75#400×C137C2211yescharacteristic, complemented
76#400×C137C2211yescharacteristic, complemented
77#399×C137C2211yescharacteristic
78#399×C137C2211yescharacteristic
79#398×C137C2211yescharacteristic, complemented
80#398×C137C2211yescharacteristic, complemented
81#398×C137C2211yescharacteristic, complemented
82#398×C137C2211yescharacteristic, complemented
83#397×C137C2211yescharacteristic
84#397×C137C2211yescharacteristic, complemented
85#397×C137C2211yescharacteristic, complemented
86#397×C137C2211yescharacteristic, complemented
87#396×C137C2211yescharacteristic
88#396×C137C2211yescharacteristic
89#396×C137C2211yescharacteristic
90#396×C137C2211yescharacteristic, complemented
91#395×C137C2211yescharacteristic, complemented
92#395×C137C2211yescharacteristic, complemented
93#394×C137C2211yescharacteristic
94#394×C137C2211yescharacteristic
95#394×C137C2211yescharacteristic
96#394×C137C2211yescharacteristic
97#394×C137C2211yescharacteristic
98#394×C137C2211yescharacteristic
99#394×C137C2211yescharacteristic, complemented
100#394×C137C2211yescharacteristic, complemented
101#393×C137C2211yescharacteristic
102#393×C137C2211yescharacteristic, complemented
103#392×C137C2211yescharacteristic
104#392×C137C2211yescharacteristic
105#392×C137C2211yescharacteristic
106#392×C137C2211yescharacteristic, complemented
107#391×C137C2211yescharacteristic, complemented
108#391×C137C2211yescharacteristic, complemented
109#391×C137C2211yescharacteristic, complemented
110#390×C137C2211yescharacteristic
111#390×C137C2211yescharacteristic
112#390×C137C2211yescharacteristic
113#390×C137C2211yescharacteristic
114#390×C137C2211yescharacteristic
115#390×C137C2211yescharacteristic
116#390×C137C2211yescharacteristic
117#390×C137C2211yescharacteristic
118#390×C137C2211yescharacteristic, complemented
119#389×C137C2211yescharacteristic, complemented
120#389×C137C2211yescharacteristic, complemented
121#389×C137C2211yescharacteristic, complemented
122#389×C137C2211yescharacteristic, complemented
123#389×C137C2211yescharacteristic, complemented
124#389×C137C2211yescharacteristic, complemented
125#388×C137C2211yescharacteristic
126#388×C137C2211yescharacteristic
127#388×C137C2211yescharacteristic
128#388×C137C2211yescharacteristic
129#388×C137C2211yescharacteristic
130#388×C137C2211yescharacteristic
131#388×C137C2211yescharacteristic
132#388×C137C2211yescharacteristic
133#388×C137C2211yescharacteristic
134#388×C137C2211yescharacteristic
135#388×C137C2211yescharacteristic
136#388×C137C2211yescharacteristic
137#388×C137C2211yescharacteristic
138#388×C137C2211yescharacteristic
139#388×C137C2211yescharacteristic
140#388×C137C2211yescharacteristic
141#388×C137C2211yescharacteristic
142#388×C137C2211yescharacteristic, complemented
143#388×C137C2211yescharacteristic, complemented
144#388×C137C2211yescharacteristic, complemented
145#388×C137C2211yescharacteristic, complemented
146#388×C137C2211yescharacteristic, complemented
147#388×C137C2211yescharacteristic, complemented
148#388×C137C2211yescharacteristic, complemented
149#388×C137C2211yescharacteristic, complemented
150#388×C137C2211yescharacteristic, complemented
151#387×C137C2211yescharacteristic, complemented
152#387×C137C2211yescharacteristic, complemented
153#386×C137C2211yescharacteristic
154#386×C137C2211yescharacteristic
155#386×C137C2211yescharacteristic
156#386×C137C2211yescharacteristic
157#386×C137C2211yescharacteristic
158#386×C137C2211yescharacteristic
159#386×C137C2211yescharacteristic
160#386×C137C2211yescharacteristic
161#386×C137C2211yescharacteristic
162#386×C137C2211yescharacteristic, complemented
163#386×C137C2211yescharacteristic, complemented
164#386×C137C2211yescharacteristic, complemented
165#385×C137C2211yescharacteristic
166#385×C137C2211yescharacteristic
167#385×C137C2211yescharacteristic, complemented
168#385×C137C2211yescharacteristic, complemented
169#382×C137C2211yescharacteristic, complemented
170#381×C137C2211yescharacteristic
171#380×C137C2211yescharacteristic
172#380×C137C2211yescharacteristic, complemented
173#379×C137C2211yescharacteristic
174C4×C4⋊C4×C137C2211yescharacteristic, complemented
175C4×C4⋊C4×C137C2211yescharacteristic, complemented
176C4×C4⋊C4×C137C2211yescharacteristic, complemented
177C4×C4⋊C4×C137C2211yescharacteristic, complemented
178C4×C22⋊C4×C137C2211yescharacteristic
179C4×C22⋊C4×C137C2211yescharacteristic
180C4×C22⋊C4×C137C2211yescharacteristic
181C4×C22⋊C4×C137C2211yescharacteristic, complemented
182C4×C22⋊C4×C137C2211yescharacteristic, complemented
183C4×C22⋊C4×C137C2211yescharacteristic, complemented
184C4×C22⋊C4×C137C2211yescharacteristic, complemented
185C4×C22⋊C4×C137C2211yescharacteristic, complemented
186C2×#95×C137C2211yescharacteristic
187C2×#95×C137C2211yescharacteristic
188C43×C137C2211yescharacteristic, complemented
189C25×C137C2311yescharacteristic
190C22×Q8×C137C2311yescharacteristic
191C22×Q8×C137C2311yescharacteristic
192C22×D4×C137C2311yescharacteristic
193C22×D4×C137C2311yescharacteristic
194C22×D4×C137C2311yescharacteristic
195C22×D4×C137C2311yescharacteristic
196C22×D4×C137C2311yescharacteristic
197C22×D4×C137C2311yescharacteristic
198C22×D4×C137C2311yescharacteristic
199C22×D4×C137C2311yescharacteristic
200C22×D4×C137C2311yescharacteristic
201C22×D4×C137C2311yescharacteristic
202C22×D4×C137C2311yescharacteristic
203C22×D4×C137C2311yescharacteristic
204C23×C4×C137C2311yescharacteristic
205C23×C4×C137C2311yescharacteristic
206C23×C4×C137C2311yescharacteristic
207C23×C4×C137C2311yescharacteristic
208C23×C4×C137C2311yescharacteristic
209C23×C4×C137C2311yescharacteristic
210C23×C4×C137C2311yescharacteristic
211C23×C4×C137C2311yescharacteristic
212C23×C4×C137C2311yescharacteristic
213C23×C4×C137C2311yescharacteristic
214C23×C4×C137C2311yescharacteristic
215#126×C137—24no—
216#126×C137—24no—
217#126×C137—24no—
218#126×C137—24no—
219#125×C137—24no—
220#125×C137—24no—
221#124×C137—24no—
222#124×C137—24no—
223#124×C137—42no—
224#123×C137—24no—
225#123×C137—24no—
226#123×C137—24no—
227#123×C137—24no—
228#123×C137—24no—
229#123×C137—24no—
230#123×C137—24no—
231C22⋊Q8×C137—24no—
232C22⋊Q8×C137—24no—
233C22⋊Q8×C137—24no—
234C22⋊Q8×C137—24no—
235#121×C137—24no—
236#121×C137—24no—
237#121×C137—24no—
238#121×C137—24no—
239#121×C137—24no—
240#121×C137—42no—
241#120×C137—24no—
242#120×C137—24no—
243#120×C137—24no—
244C4×D4×C137—24no—
245C4×D4×C137—24no—
246C4×D4×C137—24no—
247C4×D4×C137—24no—
248C4×D4×C137—42no—
249C4×D4×C137D418yescomplemented
250C2×C4⋊C4×C137—24no—
251C2×C4⋊C4×C137C2311yescharacteristic
252C2×C4⋊C4×C137C2311yescharacteristic
253C2×C4⋊C4×C137C2311yescharacteristic
254C2×C4⋊C4×C137C2311yescharacteristic
255C2×C4⋊C4×C137C2311yescharacteristic
256C2×C4⋊C4×C137C2311yescharacteristic
257C2×C4⋊C4×C137C2311yescharacteristic
258C2×C4⋊C4×C137C2311yescharacteristic
259C2×C4⋊C4×C137C2311yescharacteristic
260C2×C4⋊C4×C137C2311yescharacteristic
261C2×C4⋊C4×C137C2311yescharacteristic
262C2×C4⋊C4×C137C2311yescharacteristic
263C2×C4⋊C4×C137C2311yescharacteristic
264C2×C4⋊C4×C137C2311yescharacteristic
265C2×C4⋊C4×C137C2311yescharacteristic
266C2×C4⋊C4×C137C2311yescharacteristic
267C2×C4⋊C4×C137C2311yescharacteristic
268C2×C4⋊C4×C137C2311yescharacteristic
269C2×C4⋊C4×C137C2311yescharacteristic
270C2×C4⋊C4×C137C2311yescharacteristic
271C2×C4⋊C4×C137C2311yescharacteristic
272C2×C4⋊C4×C137C2311yescharacteristic
273C2×C4⋊C4×C137C2311yescharacteristic
274C2×C4⋊C4×C137C2311yescharacteristic
275C2×C4⋊C4×C137C2311yescharacteristic
276C2×C4⋊C4×C137C2311yescharacteristic
277C2×C4⋊C4×C137C2311yescharacteristic
278C2×C4⋊C4×C137C2311yescharacteristic
279C2×C4⋊C4×C137C2311yescharacteristic
280C2×C4⋊C4×C137C2311yescharacteristic
281C2×C22⋊C4×C137—24no—
282C2×C22⋊C4×C137—24no—
283C2×C22⋊C4×C137—42no—
284C2×C22⋊C4×C137C2311yescharacteristic
285C2×C22⋊C4×C137C2311yescharacteristic
286C2×C22⋊C4×C137C2311yescharacteristic
287C2×C22⋊C4×C137C2311yescharacteristic
288C2×C22⋊C4×C137C2311yescharacteristic
289C2×C22⋊C4×C137C2311yescharacteristic
290C2×C22⋊C4×C137C2311yescharacteristic
291C2×C22⋊C4×C137C2311yescharacteristic
292C2×C22⋊C4×C137C2311yescharacteristic
293C2×C22⋊C4×C137C2311yescharacteristic
294C2×C22⋊C4×C137C2311yescharacteristic
295C2×C22⋊C4×C137C2311yescharacteristic
296C2×C22⋊C4×C137C2311yescharacteristic
297C2×C22⋊C4×C137C2311yescharacteristic
298C2×C22⋊C4×C137C2311yescharacteristic
299C2×C22⋊C4×C137C2311yescharacteristic
300C2×C22⋊C4×C137C2311yescharacteristic
301C2×C22⋊C4×C137C2311yescharacteristic
302C2×C22⋊C4×C137C2311yescharacteristic
303C2×C22⋊C4×C137C2311yescharacteristic
304C2×C22⋊C4×C137C2311yescharacteristic
305C2×C22⋊C4×C137C2311yescharacteristic
306C2×C22⋊C4×C137C2311yescharacteristic
307C2×C22⋊C4×C137C2311yescharacteristic
308C2×C22⋊C4×C137C2311yescharacteristic
309C2×C22⋊C4×C137C2311yescharacteristic
310C2×C22⋊C4×C137C2311yescharacteristic
311C2×C22⋊C4×C137C2311yescharacteristic
312C2×C22⋊C4×C137C2311yescharacteristic
313C2×C22⋊C4×C137C2311yescharacteristic
314C2×C22⋊C4×C137C2311yescharacteristic
315C2×C22⋊C4×C137C2311yescharacteristic
316C2×C22⋊C4×C137C2311yescharacteristic
317C2×C22⋊C4×C137C2311yescharacteristic
318C2×C22⋊C4×C137C2311yescharacteristic
319C2×C22⋊C4×C137C2311yescharacteristic
320C2×C22⋊C4×C137C2311yescharacteristic
321C2×C22⋊C4×C137C2311yescharacteristic
322C2×C22⋊C4×C137C2311yescharacteristic
323C2×C22⋊C4×C137C2311yescharacteristic
324C2×C22⋊C4×C137C2311yescharacteristic
325C2×C22⋊C4×C137C2311yescharacteristic
326C2×C22⋊C4×C137C2311yescharacteristic
327C2×C22⋊C4×C137C2311yescharacteristic
328C2×C22⋊C4×C137C2311yescharacteristic
329C2×C22⋊C4×C137C2311yescharacteristic
330C2×C22⋊C4×C137C2311yescharacteristic
331C2×C22⋊C4×C137C2311yescharacteristic
332C2×C22⋊C4×C137C2311yescharacteristic
333C2×C22⋊C4×C137C2311yescharacteristic
334C2×C22⋊C4×C137C2311yescharacteristic
335C2×C22⋊C4×C137C2311yescharacteristic
336C2×C42×C137—42no—
337C2×C42×C137—42no—
338C2×C42×C137C2311yescharacteristic
339C2×C42×C137C2311yescharacteristic
340C2×C42×C137C2311yescharacteristic
341C2×C42×C137C2311yescharacteristic
342C2×C42×C137C2311yescharacteristic
343C2×C42×C137C2311yescharacteristic
344C2×C42×C137C2311yescharacteristic
345C2×C42×C137C2311yescharacteristic
346C2×C42×C137C2311yescharacteristic
347C2×C42×C137C2311yescharacteristic
348C2×C42×C137C2311yescharacteristic
349C2×C42×C137C2311yescharacteristic
350C2×C42×C137C2311yescharacteristic
351C2×C42×C137C2311yescharacteristic
352C2×C42×C137C2311yescharacteristic
353#95×C137C2311yescharacteristic
354#95×C137C2311yescharacteristic
355#95×C137C2311yescharacteristic
356#95×C137C2311yescharacteristic
357#95×C137C2311yescharacteristic
358#95×C137C2311yescharacteristic
359#95×C137C2311yescharacteristic
360#95×C137C2311yescharacteristic
361#95×C137C2311yescharacteristic
362#95×C137C2311yescharacteristic
363#95×C137C2311yescharacteristic
364#95×C137C2311yescharacteristic
365#95×C137C2311yescharacteristic
366#95×C137C2311yescharacteristic
367#95×C137C2311yescharacteristic
368#95×C137C2311yescharacteristic
369#95×C137C2311yescharacteristic
370#95×C137C2311yescharacteristic
371#95×C137C2311yescharacteristic
372#95×C137C2311yescharacteristic
373#95×C137C2311yescharacteristic
374#95×C137C2311yescharacteristic
375#95×C137C2311yescharacteristic
376#95×C137C2311yescharacteristic
377#95×C137C2311yescharacteristic
378#95×C137C2311yescharacteristic
379#95×C137C2311yescharacteristic
380#95×C137C2311yescharacteristic
381#95×C137C2311yescharacteristic
382#95×C137C2311yescharacteristic
383#95×C137C2311yescharacteristic
384#95×C137C2311yescharacteristic
385C24×C137—22no—
386C24×C137—22no—
387C24×C137—22no—
388C24×C137—41no—
389C24×C137—41no—
390C24×C137—41no—
391C24×C137—41no—
392C24×C137C2411yescharacteristic
393C24×C137C2411yescharacteristic
394C24×C137C2411yescharacteristic
395C24×C137C2411yescharacteristic
396C24×C137C2411yescharacteristic
397C24×C137C2411yescharacteristic
398C2×Q8×C137—22no—
399C2×Q8×C137—22no—
400C2×Q8×C137—41no—
401C2×Q8×C137—41no—
402C2×Q8×C137—41no—
403C2×Q8×C137—41no—
404C2×D4×C137—22no—
405C2×D4×C137—22no—
406C2×D4×C137—22no—
407C2×D4×C137—22no—
408C2×D4×C137—22no—
409C2×D4×C137—22no—
410C2×D4×C137—22no—
411C2×D4×C137—22no—
412C2×D4×C137—22no—
413C2×D4×C137—22no—
414C2×D4×C137—22no—
415C2×D4×C137—22no—
416C2×D4×C137—22no—
417C2×D4×C137—22no—
418C2×D4×C137—22no—
419C2×D4×C137—22no—
420C2×D4×C137—22no—
421C2×D4×C137—41no—
422C2×D4×C137—41no—
423C2×D4×C137—41no—
424C2×D4×C137—41no—
425C2×D4×C137—41no—
426C2×D4×C137—41no—
427C2×D4×C137—41no—
428C2×D4×C137—41no—
429C2×D4×C137—41no—
430C2×D4×C137—41no—
431C2×D4×C137—41no—
432C2×D4×C137—41no—
433C2×D4×C137—41no—
434C2×D4×C137—41no—
435C2×D4×C137—41no—
436C2×D4×C137—41no—
437C2×D4×C137—41no—
438C2×D4×C137—41no—
439C2×D4×C137C2×D414yes—
440C22×C4×C137—22no—
441C22×C4×C137—22no—
442C22×C4×C137—22no—
443C22×C4×C137—22no—
444C22×C4×C137—22no—
445C22×C4×C137—22no—
446C22×C4×C137—22no—
447C22×C4×C137—22no—
448C22×C4×C137—22no—
449C22×C4×C137—22no—
450C22×C4×C137—22no—
451C22×C4×C137—22no—
452C22×C4×C137—41no—
453C22×C4×C137—41no—
454C22×C4×C137—41no—
455C22×C4×C137—41no—
456C22×C4×C137—41no—
457C22×C4×C137—41no—
458C22×C4×C137—41no—
459C22×C4×C137—41no—
460C22×C4×C137—41no—
461C22×C4×C137—41no—
462C22×C4×C137—41no—
463C22×C4×C137—41no—
464C22×C4×C137—41no—
465C22×C4×C137—41no—
466C22×C4×C137—41no—
467C22×C4×C137—41no—
468C22×C4×C137—41no—
469C22×C4×C137—41no—
470C22×C4×C137C2×D414yes—
471C22×C4×C137C2×D414yes—
472C22×C4×C137#4114yes—
473C22×C4×C137C2411yescharacteristic
474C22×C4×C137C2411yescharacteristic
475C22×C4×C137C2411yescharacteristic
476C22×C4×C137C2411yescharacteristic
477C22×C4×C137C2411yescharacteristic
478C22×C4×C137C2411yescharacteristic
479C22×C4×C137C2411yescharacteristic
480C22×C4×C137C2411yescharacteristic
481C22×C4×C137C2411yescharacteristic
482C22×C4×C137C2411yescharacteristic
483C22×C4×C137C2411yescharacteristic
484C22×C4×C137C2411yescharacteristic
485C22×C4×C137C2411yescharacteristic
486C22×C4×C137C2411yescharacteristic
487C22×C4×C137C2411yescharacteristic
488C22×C4×C137C2411yescharacteristic
489C22×C4×C137C2411yescharacteristic
490C22×C4×C137C2411yescharacteristic
491C22×C4×C137C2411yescharacteristic
492C22×C4×C137C2411yescharacteristic
493C22×C4×C137C2411yescharacteristic
494C22×C4×C137C2411yescharacteristic
495C22×C4×C137C2411yescharacteristic
496C22×C4×C137C2411yescharacteristic
497C22×C4×C137C2411yescharacteristic
498C4⋊C4×C137—22no—
499C4⋊C4×C137—22no—
500C4⋊C4×C137—22no—
501C4⋊C4×C137—22no—
502C4⋊C4×C137—22no—
503C4⋊C4×C137—22no—
504C4⋊C4×C137—22no—
505C4⋊C4×C137—22no—
506C4⋊C4×C137—22no—
507C4⋊C4×C137—22no—
508C4⋊C4×C137—22no—
509C4⋊C4×C137—22no—
510C4⋊C4×C137—22no—
511C4⋊C4×C137—22no—
512C4⋊C4×C137—22no—
513C4⋊C4×C137—22no—
514C4⋊C4×C137—22no—
515C4⋊C4×C137—22no—
516C4⋊C4×C137—22no—
517C4⋊C4×C137—22no—
518C4⋊C4×C137—22no—
519C4⋊C4×C137—22no—
520C4⋊C4×C137—22no—
521C4⋊C4×C137—41no—
522C4⋊C4×C137—41no—
523C4⋊C4×C137—41no—
524C4⋊C4×C137—41no—
525C4⋊C4×C137—41no—
526C4⋊C4×C137—41no—
527C4⋊C4×C137C2×D414yes—
528C22⋊C4×C137—22no—
529C22⋊C4×C137—22no—
530C22⋊C4×C137—22no—
531C22⋊C4×C137—22no—
532C22⋊C4×C137—22no—
533C22⋊C4×C137—22no—
534C22⋊C4×C137—22no—
535C22⋊C4×C137—22no—
536C22⋊C4×C137—22no—
537C22⋊C4×C137—22no—
538C22⋊C4×C137—22no—
539C22⋊C4×C137—22no—
540C22⋊C4×C137—22no—
541C22⋊C4×C137—22no—
542C22⋊C4×C137—22no—
543C22⋊C4×C137—22no—
544C22⋊C4×C137—22no—
545C22⋊C4×C137—22no—
546C22⋊C4×C137—22no—
547C22⋊C4×C137—22no—
548C22⋊C4×C137—22no—
549C22⋊C4×C137—22no—
550C22⋊C4×C137—22no—
551C22⋊C4×C137—22no—
552C22⋊C4×C137—22no—
553C22⋊C4×C137—22no—
554C22⋊C4×C137—22no—
555C22⋊C4×C137—22no—
556C22⋊C4×C137—22no—
557C22⋊C4×C137—22no—
558C22⋊C4×C137—22no—
559C22⋊C4×C137—22no—
560C22⋊C4×C137—22no—
561C22⋊C4×C137—22no—
562C22⋊C4×C137—22no—
563C22⋊C4×C137—22no—
564C22⋊C4×C137—22no—
565C22⋊C4×C137—41no—
566C22⋊C4×C137—41no—
567C22⋊C4×C137—41no—
568C22⋊C4×C137—41no—
569C22⋊C4×C137—41no—
570C22⋊C4×C137—41no—
571C22⋊C4×C137—41no—
572C22⋊C4×C137—41no—
573C22⋊C4×C137—41no—
574C22⋊C4×C137—41no—
575C22⋊C4×C137—41no—
576C22⋊C4×C137—41no—
577C22⋊C4×C137C2×D414yes—
578C22⋊C4×C137C2×D414yes—
579C22⋊C4×C137#4114yes—
580C42×C137—22no—
581C42×C137—22no—
582C42×C137—22no—
583C42×C137—22no—
584C42×C137—22no—
585C42×C137—22no—
586C42×C137—22no—
587C42×C137—41no—
588C42×C137—41no—
589C42×C137—41no—
590C42×C137—41no—
591C42×C137—41no—
592C42×C137—41no—
593C42×C137—41no—
594C42×C137C2×D414yes—
595C23×C137—21no—
596C23×C137—21no—
597C23×C137—21no—
598C23×C137—21no—
599C23×C137—21no—
600C23×C137—21no—
601C23×C137—21no—
602C23×C137—21no—
603C23×C137—21no—
604C23×C137—21no—
605C23×C137—21no—
606C23×C137—21no—
607C23×C137—21no—
608C23×C137—21no—
609C23×C137—21no—
610C23×C137—21no—
611C23×C137—21no—
612C23×C137—21no—
613C23×C137—21no—
614C23×C137—21no—
615C23×C137—21no—
616C23×C137—21no—
617C23×C137—21no—
618C23×C137—21no—
619C23×C137—21no—
620C23×C137—21no—
621C23×C137—21no—
622C23×C137—21no—
623C23×C137—21no—
624C23×C137—21no—
625C23×C137—21no—
626C23×C137—21no—
627C23×C137—21no—
628C23×C137—21no—
629C23×C137—21no—
630C23×C137—21no—
631C23×C137—21no—
632C23×C137—21no—
633C23×C137—44no—
634C23×C137—44no—
635C23×C137—44no—
636C23×C137—82no—
637C23×C137—82no—
638C23×C137—82no—
639C23×C137—82no—
640C23×C137C22×D412yes—
641C23×C137C22×D412yes—
642C23×C137C2×#4112yes—
643C23×C137C2×#4112yes—
644C23×C137C2511yescharacteristic
645Q8×C137—82no—
646Q8×C137—82no—
647D4×C137—28no—
648D4×C137—44no—
649D4×C137—44no—
650D4×C137—44no—
651D4×C137—82no—
652D4×C137—82no—
653D4×C137—82no—
654D4×C137—82no—
655D4×C137—82no—
656D4×C137—82no—
657D4×C137—82no—
658D4×C137—82no—
659C2×C4×C137—21no—
660C2×C4×C137—21no—
661C2×C4×C137—21no—
662C2×C4×C137—21no—
663C2×C4×C137—21no—
664C2×C4×C137—21no—
665C2×C4×C137—21no—
666C2×C4×C137—21no—
667C2×C4×C137—21no—
668C2×C4×C137—21no—
669C2×C4×C137—21no—
670C2×C4×C137—21no—
671C2×C4×C137—21no—
672C2×C4×C137—21no—
673C2×C4×C137—21no—
674C2×C4×C137—21no—
675C2×C4×C137—21no—
676C2×C4×C137—21no—
677C2×C4×C137—21no—
678C2×C4×C137—21no—
679C2×C4×C137—21no—
680C2×C4×C137—21no—
681C2×C4×C137—21no—
682C2×C4×C137—21no—
683C2×C4×C137—21no—
684C2×C4×C137—21no—
685C2×C4×C137—21no—
686C2×C4×C137—21no—
687C2×C4×C137—21no—
688C2×C4×C137—21no—
689C2×C4×C137—21no—
690C2×C4×C137—21no—
691C2×C4×C137—21no—
692C2×C4×C137—21no—
693C2×C4×C137—21no—
694C2×C4×C137—21no—
695C2×C4×C137—21no—
696C2×C4×C137—21no—
697C2×C4×C137—21no—
698C2×C4×C137—21no—
699C2×C4×C137—21no—
700C2×C4×C137—21no—
701C2×C4×C137—21no—
702C2×C4×C137—21no—
703C2×C4×C137—21no—
704C2×C4×C137—21no—
705C2×C4×C137—21no—
706C2×C4×C137—21no—
707C2×C4×C137—21no—
708C2×C4×C137—21no—
709C2×C4×C137—21no—
710C2×C4×C137—21no—
711C2×C4×C137—21no—
712C2×C4×C137—21no—
713C2×C4×C137—21no—
714C2×C4×C137—21no—
715C2×C4×C137—21no—
716C2×C4×C137—21no—
717C2×C4×C137—21no—
718C2×C4×C137—21no—
719C2×C4×C137—21no—
720C2×C4×C137—21no—
721C2×C4×C137—21no—
722C2×C4×C137—21no—
723C2×C4×C137—21no—
724C2×C4×C137—44no—
725C2×C4×C137—44no—
726C2×C4×C137—44no—
727C2×C4×C137—44no—
728C2×C4×C137—44no—
729C2×C4×C137—44no—
730C2×C4×C137—44no—
731C2×C4×C137—82no—
732C2×C4×C137—82no—
733C2×C4×C137—82no—
734C2×C4×C137—82no—
735C2×C4×C137C22×D412yes—
736C2×C4×C137C22×D412yes—
737C2×C4×C137C22×D412yes—
738C2×C4×C137C22×D412yes—
739C2×C4×C137C22×D412yes—
740C2×C4×C137C2×#4112yes—
741C2×C4×C137C2×#4112yes—
742C2×C4×C137C2×#4112yes—
743C2×C4×C137C2×#4112yes—
744C2×C4×C137H(5,𝔽2)12yes—
745C22×C137—22no—
746C22×C137—22no—
747C22×C137—22no—
748C22×C137—22no—
749C22×C137—22no—
750C22×C137—22no—
751C22×C137—22no—
752C22×C137—22no—
753C22×C137—22no—
754C22×C137—41no—
755C22×C137—41no—
756C22×C137—41no—
757C22×C137—41no—
758C22×C137—41no—
759C22×C137—41no—
760C22×C137—41no—
761C22×C137—41no—
762C22×C137—41no—
763C22×C137—41no—
764C22×C137—41no—
765C22×C137—41no—
766C22×C137—41no—
767C22×C137—41no—
768C22×C137—41no—
769C22×C137—41no—
770C22×C137—41no—
771C22×C137—41no—
772C22×C137—41no—
773C22×C137—41no—
774C22×C137—41no—
775C22×C137—41no—
776C22×C137—41no—
777C22×C137—41no—
778C22×C137—41no—
779C22×C137—41no—
780C22×C137—41no—
781C22×C137—41no—
782C22×C137—41no—
783C22×C137—41no—
784C22×C137—41no—
785C22×C137—41no—
786C22×C137—88no—
787C22×C137#53214yes—
788C22×C137C23×D411yescharacteristic
789C22×C137C22×#4111yescharacteristic
790C22×C137C22×#4111yescharacteristic
791C22×C137C2×H(5,𝔽2)11yescharacteristic
792C22×C137#58511yescharacteristic
793C22×C137#58511yescharacteristic
794C22×C137#58511yescharacteristic
795C4×C137—22no—
796C4×C137—22no—
797C4×C137—22no—
798C4×C137—22no—
799C4×C137—22no—
800C4×C137—22no—
801C4×C137—22no—
802C4×C137—22no—
803C4×C137—22no—
804C4×C137—22no—
805C4×C137—41no—
806C4×C137—41no—
807C4×C137—41no—
808C4×C137—41no—
809C4×C137—41no—
810C4×C137—41no—
811C4×C137—41no—
812C4×C137—41no—
813C4×C137—41no—
814C4×C137—41no—
815C4×C137—41no—
816C4×C137—41no—
817C4×C137—41no—
818C4×C137—41no—
819C4×C137—41no—
820C2×C137—24no—
821C2×C137—42no—
822C2×C137—81no—
823C2×C137—81no—
824C2×C137—81no—
825C2×C137—81no—
826C2×C137C2×#53211yescharacteristic
827C2×C137#345511yescharacteristic
828C2×C137#345911yescharacteristic
829C2×C137#349611yescharacteristic
830C2×C137#350011yescharacteristic
831C2×C137#351311yescharacteristic
832C2×C137#352111yescharacteristic
833#35009C13711yesmaximal, characteristic, direct product factor, Sylow
834C137#3500911yescharacteristic, direct product factor, Sylow
835C2×#539C2×C13711yescharacteristic, complemented
836C2×#538C2×C13711yescharacteristic, complemented
837#2861C2×C13711yescharacteristic, complemented
838#2860C2×C13711yescharacteristic, complemented
839#2854C2×C13711yescharacteristic, complemented
840#2850C2×C13711yescharacteristic, complemented
841#2664C2×C13711yescharacteristic, complemented
842#2663C2×C13711yescharacteristic, complemented
843#2662C2×C13711yescharacteristic, complemented
844#2661C2×C13711yescharacteristic, complemented
845#2560C2×C13711yescharacteristic, complemented
846#2559C2×C13711yescharacteristic, complemented
847#2558C2×C13711yescharacteristic, complemented
848#2557C2×C13711yescharacteristic, complemented
849#2549C2×C13711yescharacteristic, complemented
850#2543C2×C13711yescharacteristic, complemented
851#2539C2×C13711yescharacteristic, complemented
852#2534C2×C13711yescharacteristic, complemented
853#2521C2×C13711yescharacteristic, complemented
854#2519C2×C13711yescharacteristic, complemented
855#2488C2×C13711yescharacteristic, complemented
856#2472C2×C13711yescharacteristic, complemented
857#2464C2×C13711yescharacteristic, complemented
858#2461C2×C13711yescharacteristic, complemented
859#2425C2×C13711yescharacteristic, complemented
860#2424C2×C13711yescharacteristic, complemented
861#2322C2×C13711yescharacteristic, complemented
862#2321C2×C13711yescharacteristic, complemented
863C4×#121C2×C13711yescharacteristic, complemented
864C2×#388C2×C13711yescharacteristic, complemented
865C42×D4C2×C13711yescharacteristic, complemented
866#539—28no—
867#538—28no—
868C2×#126C22×C13711yescharacteristic
869C2×#126C22×C13711yescharacteristic
870C2×#126C22×C13711yescharacteristic, complemented
871C2×#126C22×C13711yescharacteristic, complemented
872C2×#125C22×C13711yescharacteristic, complemented
873C2×#125C22×C13711yescharacteristic, complemented
874C2×#124C22×C13711yescharacteristic
875C2×#124C22×C13711yescharacteristic
876C2×#124C22×C13711yescharacteristic
877C2×#123C22×C13711yescharacteristic
878C2×#123C22×C13711yescharacteristic
879C2×#123C22×C13711yescharacteristic
880C2×#123C22×C13711yescharacteristic
881C2×#123C22×C13711yescharacteristic
882C2×#123C22×C13711yescharacteristic, complemented
883C2×#123C22×C13711yescharacteristic, complemented
884C2×C22⋊Q8C22×C13711yescharacteristic
885C2×C22⋊Q8C22×C13711yescharacteristic
886C2×C22⋊Q8C22×C13711yescharacteristic, complemented
887C2×C22⋊Q8C22×C13711yescharacteristic, complemented
888C2×#121C22×C13711yescharacteristic
889C2×#121C22×C13711yescharacteristic
890C2×#121C22×C13711yescharacteristic
891C2×#121C22×C13711yescharacteristic
892C2×#121C22×C13711yescharacteristic
893C2×#121C22×C13711yescharacteristic
894C2×#120C22×C13711yescharacteristic
895C2×#120C22×C13711yescharacteristic
896C2×#120C22×C13711yescharacteristic
897C2×C4×D4C22×C13711yescharacteristic
898C2×C4×D4C22×C13711yescharacteristic
899C2×C4×D4C22×C13711yescharacteristic
900C2×C4×D4C22×C13711yescharacteristic
901C2×C4×D4C22×C13711yescharacteristic
902C2×C4×D4C22×C13711yescharacteristic, complemented
903C22×C4⋊C4C22×C13711yescharacteristic
904C22×C22⋊C4C22×C13711yescharacteristic
905C22×C22⋊C4C22×C13711yescharacteristic
906C22×C22⋊C4C22×C13711yescharacteristic
907C22×C42C22×C13711yescharacteristic
908C22×C42C22×C13711yescharacteristic, complemented
909#400C22×C13711yescharacteristic, complemented
910#400C22×C13711yescharacteristic, complemented
911#399C22×C13711yescharacteristic
912#399C22×C13711yescharacteristic
913#398C22×C13711yescharacteristic, complemented
914#398C22×C13711yescharacteristic, complemented
915#398C22×C13711yescharacteristic, complemented
916#398C22×C13711yescharacteristic, complemented
917#397C22×C13711yescharacteristic
918#397C22×C13711yescharacteristic, complemented
919#397C22×C13711yescharacteristic, complemented
920#397C22×C13711yescharacteristic, complemented
921#396C22×C13711yescharacteristic
922#396C22×C13711yescharacteristic
923#396C22×C13711yescharacteristic
924#396C22×C13711yescharacteristic, complemented
925#395C22×C13711yescharacteristic, complemented
926#395C22×C13711yescharacteristic, complemented
927#394C22×C13711yescharacteristic
928#394C22×C13711yescharacteristic
929#394C22×C13711yescharacteristic
930#394C22×C13711yescharacteristic
931#394C22×C13711yescharacteristic
932#394C22×C13711yescharacteristic
933#394C22×C13711yescharacteristic, complemented
934#394C22×C13711yescharacteristic, complemented
935#393C22×C13711yescharacteristic
936#393C22×C13711yescharacteristic, complemented
937#392C22×C13711yescharacteristic
938#392C22×C13711yescharacteristic
939#392C22×C13711yescharacteristic
940#392C22×C13711yescharacteristic, complemented
941#391C22×C13711yescharacteristic, complemented
942#391C22×C13711yescharacteristic, complemented
943#391C22×C13711yescharacteristic, complemented
944#390C22×C13711yescharacteristic
945#390C22×C13711yescharacteristic
946#390C22×C13711yescharacteristic
947#390C22×C13711yescharacteristic
948#390C22×C13711yescharacteristic
949#390C22×C13711yescharacteristic
950#390C22×C13711yescharacteristic
951#390C22×C13711yescharacteristic
952#390C22×C13711yescharacteristic, complemented
953#389C22×C13711yescharacteristic, complemented
954#389C22×C13711yescharacteristic, complemented
955#389C22×C13711yescharacteristic, complemented
956#389C22×C13711yescharacteristic, complemented
957#389C22×C13711yescharacteristic, complemented
958#389C22×C13711yescharacteristic, complemented
959#388C22×C13711yescharacteristic
960#388C22×C13711yescharacteristic
961#388C22×C13711yescharacteristic
962#388C22×C13711yescharacteristic
963#388C22×C13711yescharacteristic
964#388C22×C13711yescharacteristic
965#388C22×C13711yescharacteristic
966#388C22×C13711yescharacteristic
967#388C22×C13711yescharacteristic
968#388C22×C13711yescharacteristic
969#388C22×C13711yescharacteristic
970#388C22×C13711yescharacteristic
971#388C22×C13711yescharacteristic
972#388C22×C13711yescharacteristic
973#388C22×C13711yescharacteristic
974#388C22×C13711yescharacteristic
975#388C22×C13711yescharacteristic
976#388C22×C13711yescharacteristic, complemented
977#388C22×C13711yescharacteristic, complemented
978#388C22×C13711yescharacteristic, complemented
979#388C22×C13711yescharacteristic, complemented
980#388C22×C13711yescharacteristic, complemented
981#388C22×C13711yescharacteristic, complemented
982#388C22×C13711yescharacteristic, complemented
983#388C22×C13711yescharacteristic, complemented
984#388C22×C13711yescharacteristic, complemented
985#387C22×C13711yescharacteristic, complemented
986#387C22×C13711yescharacteristic, complemented
987#386C22×C13711yescharacteristic
988#386C22×C13711yescharacteristic
989#386C22×C13711yescharacteristic
990#386C22×C13711yescharacteristic
991#386C22×C13711yescharacteristic
992#386C22×C13711yescharacteristic
993#386C22×C13711yescharacteristic
994#386C22×C13711yescharacteristic
995#386C22×C13711yescharacteristic
996#386C22×C13711yescharacteristic, complemented
997#386C22×C13711yescharacteristic, complemented
998#386C22×C13711yescharacteristic, complemented
999#385C22×C13711yescharacteristic
1000#385C22×C13711yescharacteristic
1001#385C22×C13711yescharacteristic, complemented
1002#385C22×C13711yescharacteristic, complemented
1003#382C22×C13711yescharacteristic, complemented
1004#381C22×C13711yescharacteristic
1005#380C22×C13711yescharacteristic
1006#380C22×C13711yescharacteristic, complemented
1007#379C22×C13711yescharacteristic
1008C4×C4⋊C4C22×C13711yescharacteristic, complemented
1009C4×C4⋊C4C22×C13711yescharacteristic, complemented
1010C4×C4⋊C4C22×C13711yescharacteristic, complemented
1011C4×C4⋊C4C22×C13711yescharacteristic, complemented
1012C4×C22⋊C4C22×C13711yescharacteristic
1013C4×C22⋊C4C22×C13711yescharacteristic
1014C4×C22⋊C4C22×C13711yescharacteristic
1015C4×C22⋊C4C22×C13711yescharacteristic, complemented
1016C4×C22⋊C4C22×C13711yescharacteristic, complemented
1017C4×C22⋊C4C22×C13711yescharacteristic, complemented
1018C4×C22⋊C4C22×C13711yescharacteristic, complemented
1019C4×C22⋊C4C22×C13711yescharacteristic, complemented
1020C2×#95C22×C13711yescharacteristic
1021C2×#95C22×C13711yescharacteristic
1022C43C22×C13711yescharacteristic, complemented
1023C25C23×C13711yescharacteristic
1024C22×Q8C23×C13711yescharacteristic
1025C22×Q8C23×C13711yescharacteristic
1026C22×D4C23×C13711yescharacteristic
1027C22×D4C23×C13711yescharacteristic
1028C22×D4C23×C13711yescharacteristic
1029C22×D4C23×C13711yescharacteristic
1030C22×D4C23×C13711yescharacteristic
1031C22×D4C23×C13711yescharacteristic
1032C22×D4C23×C13711yescharacteristic
1033C22×D4C23×C13711yescharacteristic
1034C22×D4C23×C13711yescharacteristic
1035C22×D4C23×C13711yescharacteristic
1036C22×D4C23×C13711yescharacteristic
1037C22×D4C23×C13711yescharacteristic
1038C23×C4C23×C13711yescharacteristic
1039C23×C4C23×C13711yescharacteristic
1040C23×C4C23×C13711yescharacteristic
1041C23×C4C23×C13711yescharacteristic
1042C23×C4C23×C13711yescharacteristic
1043C23×C4C23×C13711yescharacteristic
1044C23×C4C23×C13711yescharacteristic
1045C23×C4C23×C13711yescharacteristic
1046C23×C4C23×C13711yescharacteristic
1047C23×C4C23×C13711yescharacteristic
1048C23×C4C23×C13711yescharacteristic
1049#126—24no—
1050#126—24no—
1051#126—24no—
1052#126—24no—
1053#125—24no—
1054#125—24no—
1055#124—24no—
1056#124—24no—
1057#124—42no—
1058#123—24no—
1059#123—24no—
1060#123—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—24no—
1065C22⋊Q8—24no—
1066C22⋊Q8—24no—
1067C22⋊Q8—24no—
1068C22⋊Q8—24no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—24no—
1073#121—24no—
1074#121—42no—
1075#120—24no—
1076#120—24no—
1077#120—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—42no—
1083C4×D4D4×C13718yescomplemented
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4C23×C13711yescharacteristic
1086C2×C4⋊C4C23×C13711yescharacteristic
1087C2×C4⋊C4C23×C13711yescharacteristic
1088C2×C4⋊C4C23×C13711yescharacteristic
1089C2×C4⋊C4C23×C13711yescharacteristic
1090C2×C4⋊C4C23×C13711yescharacteristic
1091C2×C4⋊C4C23×C13711yescharacteristic
1092C2×C4⋊C4C23×C13711yescharacteristic
1093C2×C4⋊C4C23×C13711yescharacteristic
1094C2×C4⋊C4C23×C13711yescharacteristic
1095C2×C4⋊C4C23×C13711yescharacteristic
1096C2×C4⋊C4C23×C13711yescharacteristic
1097C2×C4⋊C4C23×C13711yescharacteristic
1098C2×C4⋊C4C23×C13711yescharacteristic
1099C2×C4⋊C4C23×C13711yescharacteristic
1100C2×C4⋊C4C23×C13711yescharacteristic
1101C2×C4⋊C4C23×C13711yescharacteristic
1102C2×C4⋊C4C23×C13711yescharacteristic
1103C2×C4⋊C4C23×C13711yescharacteristic
1104C2×C4⋊C4C23×C13711yescharacteristic
1105C2×C4⋊C4C23×C13711yescharacteristic
1106C2×C4⋊C4C23×C13711yescharacteristic
1107C2×C4⋊C4C23×C13711yescharacteristic
1108C2×C4⋊C4C23×C13711yescharacteristic
1109C2×C4⋊C4C23×C13711yescharacteristic
1110C2×C4⋊C4C23×C13711yescharacteristic
1111C2×C4⋊C4C23×C13711yescharacteristic
1112C2×C4⋊C4C23×C13711yescharacteristic
1113C2×C4⋊C4C23×C13711yescharacteristic
1114C2×C4⋊C4C23×C13711yescharacteristic
1115C2×C22⋊C4—24no—
1116C2×C22⋊C4—24no—
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4C23×C13711yescharacteristic
1119C2×C22⋊C4C23×C13711yescharacteristic
1120C2×C22⋊C4C23×C13711yescharacteristic
1121C2×C22⋊C4C23×C13711yescharacteristic
1122C2×C22⋊C4C23×C13711yescharacteristic
1123C2×C22⋊C4C23×C13711yescharacteristic
1124C2×C22⋊C4C23×C13711yescharacteristic
1125C2×C22⋊C4C23×C13711yescharacteristic
1126C2×C22⋊C4C23×C13711yescharacteristic
1127C2×C22⋊C4C23×C13711yescharacteristic
1128C2×C22⋊C4C23×C13711yescharacteristic
1129C2×C22⋊C4C23×C13711yescharacteristic
1130C2×C22⋊C4C23×C13711yescharacteristic
1131C2×C22⋊C4C23×C13711yescharacteristic
1132C2×C22⋊C4C23×C13711yescharacteristic
1133C2×C22⋊C4C23×C13711yescharacteristic
1134C2×C22⋊C4C23×C13711yescharacteristic
1135C2×C22⋊C4C23×C13711yescharacteristic
1136C2×C22⋊C4C23×C13711yescharacteristic
1137C2×C22⋊C4C23×C13711yescharacteristic
1138C2×C22⋊C4C23×C13711yescharacteristic
1139C2×C22⋊C4C23×C13711yescharacteristic
1140C2×C22⋊C4C23×C13711yescharacteristic
1141C2×C22⋊C4C23×C13711yescharacteristic
1142C2×C22⋊C4C23×C13711yescharacteristic
1143C2×C22⋊C4C23×C13711yescharacteristic
1144C2×C22⋊C4C23×C13711yescharacteristic
1145C2×C22⋊C4C23×C13711yescharacteristic
1146C2×C22⋊C4C23×C13711yescharacteristic
1147C2×C22⋊C4C23×C13711yescharacteristic
1148C2×C22⋊C4C23×C13711yescharacteristic
1149C2×C22⋊C4C23×C13711yescharacteristic
1150C2×C22⋊C4C23×C13711yescharacteristic
1151C2×C22⋊C4C23×C13711yescharacteristic
1152C2×C22⋊C4C23×C13711yescharacteristic
1153C2×C22⋊C4C23×C13711yescharacteristic
1154C2×C22⋊C4C23×C13711yescharacteristic
1155C2×C22⋊C4C23×C13711yescharacteristic
1156C2×C22⋊C4C23×C13711yescharacteristic
1157C2×C22⋊C4C23×C13711yescharacteristic
1158C2×C22⋊C4C23×C13711yescharacteristic
1159C2×C22⋊C4C23×C13711yescharacteristic
1160C2×C22⋊C4C23×C13711yescharacteristic
1161C2×C22⋊C4C23×C13711yescharacteristic
1162C2×C22⋊C4C23×C13711yescharacteristic
1163C2×C22⋊C4C23×C13711yescharacteristic
1164C2×C22⋊C4C23×C13711yescharacteristic
1165C2×C22⋊C4C23×C13711yescharacteristic
1166C2×C22⋊C4C23×C13711yescharacteristic
1167C2×C22⋊C4C23×C13711yescharacteristic
1168C2×C22⋊C4C23×C13711yescharacteristic
1169C2×C22⋊C4C23×C13711yescharacteristic
1170C2×C42—42no—
1171C2×C42—42no—
1172C2×C42C23×C13711yescharacteristic
1173C2×C42C23×C13711yescharacteristic
1174C2×C42C23×C13711yescharacteristic
1175C2×C42C23×C13711yescharacteristic
1176C2×C42C23×C13711yescharacteristic
1177C2×C42C23×C13711yescharacteristic
1178C2×C42C23×C13711yescharacteristic
1179C2×C42C23×C13711yescharacteristic
1180C2×C42C23×C13711yescharacteristic
1181C2×C42C23×C13711yescharacteristic
1182C2×C42C23×C13711yescharacteristic
1183C2×C42C23×C13711yescharacteristic
1184C2×C42C23×C13711yescharacteristic
1185C2×C42C23×C13711yescharacteristic
1186C2×C42C23×C13711yescharacteristic
1187#95C23×C13711yescharacteristic
1188#95C23×C13711yescharacteristic
1189#95C23×C13711yescharacteristic
1190#95C23×C13711yescharacteristic
1191#95C23×C13711yescharacteristic
1192#95C23×C13711yescharacteristic
1193#95C23×C13711yescharacteristic
1194#95C23×C13711yescharacteristic
1195#95C23×C13711yescharacteristic
1196#95C23×C13711yescharacteristic
1197#95C23×C13711yescharacteristic
1198#95C23×C13711yescharacteristic
1199#95C23×C13711yescharacteristic
1200#95C23×C13711yescharacteristic
1201#95C23×C13711yescharacteristic
1202#95C23×C13711yescharacteristic
1203#95C23×C13711yescharacteristic
1204#95C23×C13711yescharacteristic
1205#95C23×C13711yescharacteristic
1206#95C23×C13711yescharacteristic
1207#95C23×C13711yescharacteristic
1208#95C23×C13711yescharacteristic
1209#95C23×C13711yescharacteristic
1210#95C23×C13711yescharacteristic
1211#95C23×C13711yescharacteristic
1212#95C23×C13711yescharacteristic
1213#95C23×C13711yescharacteristic
1214#95C23×C13711yescharacteristic
1215#95C23×C13711yescharacteristic
1216#95C23×C13711yescharacteristic
1217#95C23×C13711yescharacteristic
1218#95C23×C13711yescharacteristic
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24C24×C13711yescharacteristic
1227C24C24×C13711yescharacteristic
1228C24C24×C13711yescharacteristic
1229C24C24×C13711yescharacteristic
1230C24C24×C13711yescharacteristic
1231C24C24×C13711yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4C2×D4×C13714yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4C2×D4×C13714yes—
1305C22×C4C2×D4×C13714yes—
1306C22×C4#41×C13714yes—
1307C22×C4C24×C13711yescharacteristic
1308C22×C4C24×C13711yescharacteristic
1309C22×C4C24×C13711yescharacteristic
1310C22×C4C24×C13711yescharacteristic
1311C22×C4C24×C13711yescharacteristic
1312C22×C4C24×C13711yescharacteristic
1313C22×C4C24×C13711yescharacteristic
1314C22×C4C24×C13711yescharacteristic
1315C22×C4C24×C13711yescharacteristic
1316C22×C4C24×C13711yescharacteristic
1317C22×C4C24×C13711yescharacteristic
1318C22×C4C24×C13711yescharacteristic
1319C22×C4C24×C13711yescharacteristic
1320C22×C4C24×C13711yescharacteristic
1321C22×C4C24×C13711yescharacteristic
1322C22×C4C24×C13711yescharacteristic
1323C22×C4C24×C13711yescharacteristic
1324C22×C4C24×C13711yescharacteristic
1325C22×C4C24×C13711yescharacteristic
1326C22×C4C24×C13711yescharacteristic
1327C22×C4C24×C13711yescharacteristic
1328C22×C4C24×C13711yescharacteristic
1329C22×C4C24×C13711yescharacteristic
1330C22×C4C24×C13711yescharacteristic
1331C22×C4C24×C13711yescharacteristic
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4C2×D4×C13714yes—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4C2×D4×C13714yes—
1412C22⋊C4C2×D4×C13714yes—
1413C22⋊C4#41×C13714yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42C2×D4×C13714yes—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—44no—
1468C23—44no—
1469C23—44no—
1470C23—82no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×D4×C13712yes—
1475C23C22×D4×C13712yes—
1476C23C2×#41×C13712yes—
1477C23C2×#41×C13712yes—
1478C23C25×C13711yescharacteristic
1479Q8—82no—
1480Q8—82no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
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—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4C22×D4×C13712yes—
1570C2×C4C22×D4×C13712yes—
1571C2×C4C22×D4×C13712yes—
1572C2×C4C22×D4×C13712yes—
1573C2×C4C22×D4×C13712yes—
1574C2×C4C2×#41×C13712yes—
1575C2×C4C2×#41×C13712yes—
1576C2×C4C2×#41×C13712yes—
1577C2×C4C2×#41×C13712yes—
1578C2×C4H(5,𝔽2)×C13712yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—88no—
1621C22#532×C13714yes—
1622C22C23×D4×C13711yescharacteristic
1623C22C22×#41×C13711yescharacteristic
1624C22C22×#41×C13711yescharacteristic
1625C22C2×H(5,𝔽2)×C13711yescharacteristic
1626C22#585×C13711yescharacteristic
1627C22#585×C13711yescharacteristic
1628C22#585×C13711yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C2×#532×C13711yescharacteristic
1661C2#3455×C13711yescharacteristic
1662C2#3459×C13711yescharacteristic
1663C2#3496×C13711yescharacteristic
1664C2#3500×C13711yescharacteristic
1665C2#3513×C13711yescharacteristic
1666C2#3521×C13711yescharacteristic
subgroupG/H
center, socleC23×C137C25
commutator, Frattini, cosocleC23C25×C137
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C137 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×#539×C137C2semidirect
2. C2×#538×C137C2semidirect
3. #2861×C137C2semidirect
4. #2860×C137C2semidirect
5. #2854×C137C2semidirect
6. #2850×C137C2semidirect
7. #2664×C137C2semidirect
8. #2663×C137C2semidirect
9. #2662×C137C2semidirect
10. #2661×C137C2semidirect
11. #2560×C137C2semidirect
12. #2559×C137C2semidirect
13. #2558×C137C2semidirect
14. #2557×C137C2semidirect
15. #2549×C137C2semidirect
16. #2543×C137C2semidirect
17. #2539×C137C2semidirect
18. #2534×C137C2semidirect
19. #2521×C137C2semidirect
20. #2519×C137C2semidirect
21. #2488×C137C2semidirect
22. #2472×C137C2semidirect
23. #2464×C137C2semidirect
24. #2461×C137C2semidirect
25. #2425×C137C2semidirect
26. #2424×C137C2semidirect
27. #2322×C137C2semidirect
28. #2321×C137C2semidirect
29. C4×#121×C137C2semidirect
30. C2×#388×C137C2semidirect
31. C42×D4×C137C2semidirect
36. C2×#126×C137C22semidirect
37. C2×#126×C137C22semidirect
38. C2×#125×C137C22semidirect
39. C2×#125×C137C22semidirect
48. C2×#123×C137C22semidirect
49. C2×#123×C137C22semidirect
52. C2×C22⋊Q8×C137C22semidirect
53. C2×C22⋊Q8×C137C22semidirect
68. C2×C4×D4×C137C22semidirect
74. C22×C42×C137C22semidirect
75. #400×C137C22semidirect
76. #400×C137C22semidirect
79. #398×C137C22semidirect
80. #398×C137C22semidirect
81. #398×C137C22semidirect
82. #398×C137C22semidirect
84. #397×C137C22semidirect
85. #397×C137C22semidirect
86. #397×C137C22semidirect
90. #396×C137C22semidirect
91. #395×C137C22semidirect
92. #395×C137C22semidirect
99. #394×C137C22semidirect
100. #394×C137C22semidirect
102. #393×C137C22semidirect
106. #392×C137C22semidirect
107. #391×C137C22semidirect
108. #391×C137C22semidirect
109. #391×C137C22semidirect
118. #390×C137C22semidirect
119. #389×C137C22semidirect
120. #389×C137C22semidirect
121. #389×C137C22semidirect
122. #389×C137C22semidirect
123. #389×C137C22semidirect
124. #389×C137C22semidirect
142. #388×C137C22semidirect
143. #388×C137C22semidirect
144. #388×C137C22semidirect
145. #388×C137C22semidirect
146. #388×C137C22semidirect
147. #388×C137C22semidirect
148. #388×C137C22semidirect
149. #388×C137C22semidirect
150. #388×C137C22semidirect
151. #387×C137C22semidirect
152. #387×C137C22semidirect
162. #386×C137C22semidirect
163. #386×C137C22semidirect
164. #386×C137C22semidirect
167. #385×C137C22semidirect
168. #385×C137C22semidirect
169. #382×C137C22semidirect
172. #380×C137C22semidirect
174. C4×C4⋊C4×C137C22semidirect
175. C4×C4⋊C4×C137C22semidirect
176. C4×C4⋊C4×C137C22semidirect
177. C4×C4⋊C4×C137C22semidirect
181. C4×C22⋊C4×C137C22semidirect
182. C4×C22⋊C4×C137C22semidirect
183. C4×C22⋊C4×C137C22semidirect
184. C4×C22⋊C4×C137C22semidirect
185. C4×C22⋊C4×C137C22semidirect
188. C43×C137C22semidirect
249. C4×D4×C137D4semidirect
833. #35009C137direct (N × H)
834. C137#35009direct (N × H)
835. C2×#539C2×C137semidirect
836. C2×#538C2×C137semidirect
837. #2861C2×C137semidirect
838. #2860C2×C137semidirect
839. #2854C2×C137semidirect
840. #2850C2×C137semidirect
841. #2664C2×C137semidirect
842. #2663C2×C137semidirect
843. #2662C2×C137semidirect
844. #2661C2×C137semidirect
845. #2560C2×C137semidirect
846. #2559C2×C137semidirect
847. #2558C2×C137semidirect
848. #2557C2×C137semidirect
849. #2549C2×C137semidirect
850. #2543C2×C137semidirect
851. #2539C2×C137semidirect
852. #2534C2×C137semidirect
853. #2521C2×C137semidirect
854. #2519C2×C137semidirect
855. #2488C2×C137semidirect
856. #2472C2×C137semidirect
857. #2464C2×C137semidirect
858. #2461C2×C137semidirect
859. #2425C2×C137semidirect
860. #2424C2×C137semidirect
861. #2322C2×C137semidirect
862. #2321C2×C137semidirect
863. C4×#121C2×C137semidirect
864. C2×#388C2×C137semidirect
865. C42×D4C2×C137semidirect
870. C2×#126C22×C137semidirect
871. C2×#126C22×C137semidirect
872. C2×#125C22×C137semidirect
873. C2×#125C22×C137semidirect
882. C2×#123C22×C137semidirect
883. C2×#123C22×C137semidirect
886. C2×C22⋊Q8C22×C137semidirect
887. C2×C22⋊Q8C22×C137semidirect
902. C2×C4×D4C22×C137semidirect
908. C22×C42C22×C137semidirect
909. #400C22×C137semidirect
910. #400C22×C137semidirect
913. #398C22×C137semidirect
914. #398C22×C137semidirect
915. #398C22×C137semidirect
916. #398C22×C137semidirect
918. #397C22×C137semidirect
919. #397C22×C137semidirect
920. #397C22×C137semidirect
924. #396C22×C137semidirect
925. #395C22×C137semidirect
926. #395C22×C137semidirect
933. #394C22×C137semidirect
934. #394C22×C137semidirect
936. #393C22×C137semidirect
940. #392C22×C137semidirect
941. #391C22×C137semidirect
942. #391C22×C137semidirect
943. #391C22×C137semidirect
952. #390C22×C137semidirect
953. #389C22×C137semidirect
954. #389C22×C137semidirect
955. #389C22×C137semidirect
956. #389C22×C137semidirect
957. #389C22×C137semidirect
958. #389C22×C137semidirect
976. #388C22×C137semidirect
977. #388C22×C137semidirect
978. #388C22×C137semidirect
979. #388C22×C137semidirect
980. #388C22×C137semidirect
981. #388C22×C137semidirect
982. #388C22×C137semidirect
983. #388C22×C137semidirect
984. #388C22×C137semidirect
985. #387C22×C137semidirect
986. #387C22×C137semidirect
996. #386C22×C137semidirect
997. #386C22×C137semidirect
998. #386C22×C137semidirect
1001. #385C22×C137semidirect
1002. #385C22×C137semidirect
1003. #382C22×C137semidirect
1006. #380C22×C137semidirect
1008. C4×C4⋊C4C22×C137semidirect
1009. C4×C4⋊C4C22×C137semidirect
1010. C4×C4⋊C4C22×C137semidirect
1011. C4×C4⋊C4C22×C137semidirect
1015. C4×C22⋊C4C22×C137semidirect
1016. C4×C22⋊C4C22×C137semidirect
1017. C4×C22⋊C4C22×C137semidirect
1018. C4×C22⋊C4C22×C137semidirect
1019. C4×C22⋊C4C22×C137semidirect
1022. C43C22×C137semidirect
1083. C4×D4D4×C137semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C1372
C2×#538×C1372
#2861×C1372
#2860×C1372
#2854×C1372
#2850×C1372
#2664×C1372
#2663×C1372
#2662×C1372
#2661×C1372
#2560×C1372
#2559×C1372
#2558×C1372
#2557×C1372
#2549×C1372
#2543×C1372
#2539×C1372
#2534×C1372
#2521×C1372
#2519×C1372
#2488×C1372
#2472×C1372
#2464×C1372
#2461×C1372
#2425×C1372
#2424×C1372
#2322×C1372
#2321×C1372
C4×#121×C1372
C2×#388×C1372
C42×D4×C1372
#35009137