Finite Group Databasebeta

← C139×#34479 #48029075

Subgroups — C139×#34479 #48029075

Order 35584.

2292 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#551×C139C211yesmaximal, characteristic
2#2383×C139C211yesmaximal, characteristic, complemented
3#2379×C139C211yesmaximal, characteristic, complemented
4#2378×C139C211yesmaximal, characteristic, complemented
5#2376×C139C211yesmaximal, characteristic, complemented
6#2373×C139C211yesmaximal, characteristic, complemented
7#2368×C139C211yesmaximal, characteristic, complemented
8#2359×C139C211yesmaximal, characteristic, complemented
9#2359×C139C211yesmaximal, characteristic, complemented
10#2358×C139C211yesmaximal, characteristic
11#2354×C139C211yesmaximal, characteristic, complemented
12#2349×C139C211yesmaximal, characteristic, complemented
13#2346×C139C211yesmaximal, characteristic, complemented
14#2343×C139C211yesmaximal, characteristic, complemented
15#2342×C139C211yesmaximal, characteristic, complemented
16#2342×C139C211yesmaximal, characteristic, complemented
17#2335×C139C211yesmaximal, characteristic, complemented
18#2335×C139C211yesmaximal, characteristic, complemented
19#2334×C139C211yesmaximal, characteristic, complemented
20#2334×C139C211yesmaximal, characteristic, complemented
21#2326×C139C211yesmaximal, characteristic, complemented
22#2323×C139C211yesmaximal, characteristic, complemented
23#2322×C139C211yesmaximal, characteristic, complemented
24#2321×C139C211yesmaximal, characteristic
25#2318×C139C211yesmaximal, characteristic, complemented
26#2317×C139C211yesmaximal, characteristic, complemented
27#2315×C139C211yesmaximal, characteristic, complemented
28#2314×C139C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C139C211yesmaximal, characteristic, complemented
30#2290×C139C211yesmaximal, characteristic, complemented
31C2×#388×C139C211yesmaximal, characteristic, complemented
32#551×C139C4116yescomplemented
33C2×#126×C139C2211yescharacteristic
34C2×#126×C139C2211yescharacteristic
35C2×#124×C139C2211yescharacteristic
36C2×#123×C139C2211yescharacteristic
37C2×#123×C139C2211yescharacteristic
38C2×#123×C139C2211yescharacteristic
39C2×C22⋊Q8×C139C2211yescharacteristic
40C2×C22⋊Q8×C139C2211yescharacteristic
41C2×#120×C139C2211yescharacteristic
42C2×C4×Q8×C139C2211yescharacteristic, complemented
43C2×C4×D4×C139C2211yescharacteristic
44C2×C4×D4×C139C2211yescharacteristic
45C2×C4×D4×C139C2211yescharacteristic
46C2×C4×D4×C139C2211yescharacteristic
47C2×C4×D4×C139C2211yescharacteristic
48C2×#117×C139C2211yescharacteristic
49C2×#117×C139C2211yescharacteristic
50C2×#117×C139C2211yescharacteristic
51C2×#117×C139C2211yescharacteristic
52C2×#117×C139C2211yescharacteristic, complemented
53C22×C4⋊C4×C139C2211yescharacteristic
54C22×C22⋊C4×C139C2211yescharacteristic
55C22×C22⋊C4×C139C2211yescharacteristic
56C22×C22⋊C4×C139C2211yescharacteristic
57C22×C22⋊C4×C139C2211yescharacteristic
58C22×C22⋊C4×C139C2211yescharacteristic
59C22×C42×C139C2211yescharacteristic
60#391×C139C2211yescharacteristic, complemented
61#391×C139C2211yescharacteristic, complemented
62#391×C139C2211yescharacteristic, complemented
63#390×C139C2211yescharacteristic
64#390×C139C2211yescharacteristic
65#390×C139C2211yescharacteristic
66#389×C139C2211yescharacteristic, complemented
67#389×C139C2211yescharacteristic, complemented
68#389×C139C2211yescharacteristic, complemented
69#389×C139C2211yescharacteristic, complemented
70#389×C139C2211yescharacteristic, complemented
71#389×C139C2211yescharacteristic, complemented
72#389×C139C2211yescharacteristic, complemented
73#389×C139C2211yescharacteristic, complemented
74#389×C139C2211yescharacteristic, complemented
75#389×C139C2211yescharacteristic, complemented
76#388×C139C2211yescharacteristic
77#388×C139C2211yescharacteristic
78#388×C139C2211yescharacteristic
79#388×C139C2211yescharacteristic
80#388×C139C2211yescharacteristic
81#388×C139C2211yescharacteristic
82#388×C139C2211yescharacteristic
83#388×C139C2211yescharacteristic
84#388×C139C2211yescharacteristic
85#388×C139C2211yescharacteristic
86#388×C139C2211yescharacteristic
87#388×C139C2211yescharacteristic
88#388×C139C2211yescharacteristic
89#388×C139C2211yescharacteristic
90#388×C139C2211yescharacteristic
91#388×C139C2211yescharacteristic
92#388×C139C2211yescharacteristic
93#388×C139C2211yescharacteristic
94#388×C139C2211yescharacteristic
95#388×C139C2211yescharacteristic
96#388×C139C2211yescharacteristic
97#388×C139C2211yescharacteristic
98#388×C139C2211yescharacteristic, complemented
99#388×C139C2211yescharacteristic, complemented
100#388×C139C2211yescharacteristic, complemented
101#388×C139C2211yescharacteristic, complemented
102#388×C139C2211yescharacteristic, complemented
103#388×C139C2211yescharacteristic, complemented
104#387×C139C2211yescharacteristic, complemented
105#387×C139C2211yescharacteristic, complemented
106#387×C139C2211yescharacteristic, complemented
107#387×C139C2211yescharacteristic, complemented
108#387×C139C2211yescharacteristic, complemented
109#387×C139C2211yescharacteristic, complemented
110#387×C139C2211yescharacteristic, complemented
111#387×C139C2211yescharacteristic, complemented
112#387×C139C2211yescharacteristic, complemented
113#387×C139C2211yescharacteristic, complemented
114#387×C139C2211yescharacteristic, complemented
115#387×C139C2211yescharacteristic, complemented
116#387×C139C2211yescharacteristic, complemented
117#387×C139C2211yescharacteristic, complemented
118#387×C139C2211yescharacteristic, complemented
119#387×C139C2211yescharacteristic, complemented
120#386×C139C2211yescharacteristic
121#386×C139C2211yescharacteristic
122#386×C139C2211yescharacteristic
123#386×C139C2211yescharacteristic
124#386×C139C2211yescharacteristic
125#386×C139C2211yescharacteristic
126#385×C139C2211yescharacteristic
127#385×C139C2211yescharacteristic
128#385×C139C2211yescharacteristic
129#385×C139C2211yescharacteristic
130#385×C139C2211yescharacteristic
131#385×C139C2211yescharacteristic
132#385×C139C2211yescharacteristic
133#385×C139C2211yescharacteristic
134#385×C139C2211yescharacteristic
135#385×C139C2211yescharacteristic
136#385×C139C2211yescharacteristic
137#385×C139C2211yescharacteristic
138#385×C139C2211yescharacteristic
139#385×C139C2211yescharacteristic
140#385×C139C2211yescharacteristic
141#385×C139C2211yescharacteristic, complemented
142#385×C139C2211yescharacteristic, complemented
143#385×C139C2211yescharacteristic, complemented
144#385×C139C2211yescharacteristic, complemented
145#385×C139C2211yescharacteristic, complemented
146#384×C139C2211yescharacteristic, complemented
147#384×C139C2211yescharacteristic, complemented
148#383×C139C2211yescharacteristic, complemented
149#382×C139C2211yescharacteristic, complemented
150#382×C139C2211yescharacteristic, complemented
151#382×C139C2211yescharacteristic, complemented
152#382×C139C2211yescharacteristic, complemented
153#381×C139C2211yescharacteristic
154#381×C139C2211yescharacteristic
155#380×C139C2211yescharacteristic
156#380×C139C2211yescharacteristic
157#380×C139C2211yescharacteristic
158#380×C139C2211yescharacteristic
159#380×C139C2211yescharacteristic
160#380×C139C2211yescharacteristic
161#380×C139C2211yescharacteristic, complemented
162#379×C139C2211yescharacteristic
163C4×C4⋊C4×C139C2211yescharacteristic, complemented
164C4×C4⋊C4×C139C2211yescharacteristic, complemented
165C4×C4⋊C4×C139C2211yescharacteristic, complemented
166C4×C4⋊C4×C139C2211yescharacteristic, complemented
167C4×C4⋊C4×C139C2211yescharacteristic, complemented
168C4×C4⋊C4×C139C2211yescharacteristic, complemented
169C4×C4⋊C4×C139C2211yescharacteristic, complemented
170C4×C4⋊C4×C139C2211yescharacteristic, complemented
171C4×C4⋊C4×C139C2211yescharacteristic, complemented
172C4×C22⋊C4×C139C2211yescharacteristic
173C4×C22⋊C4×C139C2211yescharacteristic
174C4×C22⋊C4×C139C2211yescharacteristic
175C4×C22⋊C4×C139C2211yescharacteristic
176C4×C22⋊C4×C139C2211yescharacteristic
177C4×C22⋊C4×C139C2211yescharacteristic
178C4×C22⋊C4×C139C2211yescharacteristic
179C4×C22⋊C4×C139C2211yescharacteristic
180C4×C22⋊C4×C139C2211yescharacteristic
181C4×C22⋊C4×C139C2211yescharacteristic, complemented
182C4×C22⋊C4×C139C2211yescharacteristic, complemented
183#376×C139C2211yescharacteristic, complemented
184#376×C139C2211yescharacteristic, complemented
185C2×#95×C139C2211yescharacteristic
186C2×#95×C139C2211yescharacteristic
187C2×#95×C139C2211yescharacteristic, complemented
188C25×C139C2311yescharacteristic
189C22×Q8×C139C2311yescharacteristic
190C22×D4×C139C2311yescharacteristic
191C22×D4×C139C2311yescharacteristic
192C22×D4×C139C2311yescharacteristic
193C23×C4×C139C2311yescharacteristic
194C23×C4×C139C2311yescharacteristic
195C23×C4×C139C2311yescharacteristic
196C23×C4×C139C2311yescharacteristic
197C23×C4×C139C2311yescharacteristic
198C23×C4×C139C2311yescharacteristic
199C23×C4×C139C2311yescharacteristic
200C23×C4×C139C2311yescharacteristic
201C23×C4×C139C2311yescharacteristic
202C23×C4×C139C2311yescharacteristic
203C23×C4×C139C2311yescharacteristic
204C23×C4×C139C2311yescharacteristic
205C23×C4×C139C2311yescharacteristic
206#126×C139C2×C418yescomplemented
207#126×C139C2×C418yescomplemented
208#124×C139C2×C418yescomplemented
209#123×C139C2×C418yescomplemented
210#123×C139C2×C418yescomplemented
211#123×C139C2×C418yescomplemented
212C22⋊Q8×C139C2×C418yescomplemented
213C22⋊Q8×C139C2×C418yescomplemented
214#120×C139C2×C418yes—
215C4×Q8×C139—42no—
216C4×D4×C139—42no—
217C4×D4×C139—42no—
218C4×D4×C139—42no—
219C4×D4×C139C2×C418yescomplemented
220C4×D4×C139C2×C418yescomplemented
221#117×C139—42no—
222#117×C139—42no—
223#117×C139—42no—
224#117×C139C2×C418yescomplemented
225#117×C139C2×C418yescomplemented
226C2×C4⋊C4×C139—42no—
227C2×C4⋊C4×C139C2311yescharacteristic
228C2×C4⋊C4×C139C2311yescharacteristic
229C2×C4⋊C4×C139C2311yescharacteristic
230C2×C4⋊C4×C139C2311yescharacteristic
231C2×C4⋊C4×C139C2311yescharacteristic
232C2×C4⋊C4×C139C2311yescharacteristic
233C2×C4⋊C4×C139C2311yescharacteristic
234C2×C4⋊C4×C139C2311yescharacteristic
235C2×C4⋊C4×C139C2311yescharacteristic
236C2×C4⋊C4×C139C2311yescharacteristic
237C2×C4⋊C4×C139C2311yescharacteristic
238C2×C4⋊C4×C139C2311yescharacteristic
239C2×C4⋊C4×C139C2311yescharacteristic
240C2×C4⋊C4×C139C2311yescharacteristic
241C2×C4⋊C4×C139C2311yescharacteristic
242C2×C4⋊C4×C139C2311yescharacteristic
243C2×C4⋊C4×C139C2311yescharacteristic
244C2×C4⋊C4×C139C2311yescharacteristic
245C2×C4⋊C4×C139C2311yescharacteristic
246C2×C4⋊C4×C139C2311yescharacteristic
247C2×C4⋊C4×C139C2311yescharacteristic
248C2×C4⋊C4×C139C2311yescharacteristic
249C2×C4⋊C4×C139C2311yescharacteristic
250C2×C4⋊C4×C139C2311yescharacteristic
251C2×C4⋊C4×C139C2311yescharacteristic
252C2×C4⋊C4×C139C2311yescharacteristic
253C2×C4⋊C4×C139C2311yescharacteristic
254C2×C4⋊C4×C139C2311yescharacteristic
255C2×C4⋊C4×C139C2311yescharacteristic
256C2×C4⋊C4×C139C2311yescharacteristic
257C2×C4⋊C4×C139C2311yescharacteristic
258C2×C4⋊C4×C139C2311yescharacteristic
259C2×C4⋊C4×C139C2311yescharacteristic
260C2×C4⋊C4×C139C2311yescharacteristic
261C2×C22⋊C4×C139—42no—
262C2×C22⋊C4×C139—42no—
263C2×C22⋊C4×C139—42no—
264C2×C22⋊C4×C139C2×C418yescomplemented
265C2×C22⋊C4×C139C2×C418yescomplemented
266C2×C22⋊C4×C139C2311yescharacteristic
267C2×C22⋊C4×C139C2311yescharacteristic
268C2×C22⋊C4×C139C2311yescharacteristic
269C2×C22⋊C4×C139C2311yescharacteristic
270C2×C22⋊C4×C139C2311yescharacteristic
271C2×C22⋊C4×C139C2311yescharacteristic
272C2×C22⋊C4×C139C2311yescharacteristic
273C2×C22⋊C4×C139C2311yescharacteristic
274C2×C22⋊C4×C139C2311yescharacteristic
275C2×C22⋊C4×C139C2311yescharacteristic
276C2×C22⋊C4×C139C2311yescharacteristic
277C2×C22⋊C4×C139C2311yescharacteristic
278C2×C22⋊C4×C139C2311yescharacteristic
279C2×C22⋊C4×C139C2311yescharacteristic
280C2×C22⋊C4×C139C2311yescharacteristic
281C2×C22⋊C4×C139C2311yescharacteristic
282C2×C22⋊C4×C139C2311yescharacteristic
283C2×C22⋊C4×C139C2311yescharacteristic
284C2×C22⋊C4×C139C2311yescharacteristic
285C2×C22⋊C4×C139C2311yescharacteristic
286C2×C22⋊C4×C139C2311yescharacteristic
287C2×C22⋊C4×C139C2311yescharacteristic
288C2×C22⋊C4×C139C2311yescharacteristic
289C2×C22⋊C4×C139C2311yescharacteristic
290C2×C22⋊C4×C139C2311yescharacteristic
291C2×C22⋊C4×C139C2311yescharacteristic
292C2×C22⋊C4×C139C2311yescharacteristic
293C2×C22⋊C4×C139C2311yescharacteristic
294C2×C22⋊C4×C139C2311yescharacteristic
295C2×C22⋊C4×C139C2311yescharacteristic
296C2×C22⋊C4×C139C2311yescharacteristic
297C2×C22⋊C4×C139C2311yescharacteristic
298C2×C22⋊C4×C139C2311yescharacteristic
299C2×C22⋊C4×C139C2311yescharacteristic
300C2×C22⋊C4×C139C2311yescharacteristic
301C2×C22⋊C4×C139C2311yescharacteristic
302C2×C22⋊C4×C139C2311yescharacteristic
303C2×C22⋊C4×C139C2311yescharacteristic
304C2×C42×C139—42no—
305C2×C42×C139C2311yescharacteristic
306C2×C42×C139C2311yescharacteristic
307C2×C42×C139C2311yescharacteristic
308C2×C42×C139C2311yescharacteristic
309C2×C42×C139C2311yescharacteristic
310C2×C42×C139C2311yescharacteristic
311C2×C42×C139C2311yescharacteristic
312C2×C42×C139C2311yescharacteristic
313C2×C42×C139C2311yescharacteristic
314C2×C42×C139C2311yescharacteristic
315C2×C42×C139C2311yescharacteristic
316C2×C42×C139C2311yescharacteristic
317C2×C42×C139C2311yescharacteristic
318C2×C42×C139C2311yescharacteristic
319C2×C42×C139C2311yescharacteristic
320C2×C42×C139C2311yescharacteristic
321C2×C42×C139C2311yescharacteristic
322C2×C42×C139C2311yescharacteristic
323C2×C42×C139C2311yescharacteristic
324C2×C42×C139C2311yescharacteristic
325C2×C42×C139C2311yescharacteristic
326#95×C139C2311yescharacteristic
327#95×C139C2311yescharacteristic
328#95×C139C2311yescharacteristic
329#95×C139C2311yescharacteristic
330#95×C139C2311yescharacteristic
331#95×C139C2311yescharacteristic
332#95×C139C2311yescharacteristic
333#95×C139C2311yescharacteristic
334#95×C139C2311yescharacteristic
335#95×C139C2311yescharacteristic
336#95×C139C2311yescharacteristic
337#95×C139C2311yescharacteristic
338#95×C139C2311yescharacteristic
339#95×C139C2311yescharacteristic
340#95×C139C2311yescharacteristic
341#95×C139C2311yescharacteristic
342#95×C139C2311yescharacteristic
343#95×C139C2311yescharacteristic
344#95×C139C2311yescharacteristic
345#95×C139C2311yescharacteristic
346#95×C139C2311yescharacteristic
347#95×C139C2311yescharacteristic
348#95×C139C2311yescharacteristic
349#95×C139C2311yescharacteristic
350#95×C139C2311yescharacteristic
351#95×C139C2311yescharacteristic
352#95×C139C2311yescharacteristic
353#95×C139C2311yescharacteristic
354#95×C139C2311yescharacteristic
355#95×C139C2311yescharacteristic
356#95×C139C2311yescharacteristic
357#95×C139C2311yescharacteristic
358#95×C139C2311yescharacteristic
359#95×C139C2311yescharacteristic
360#95×C139C2311yescharacteristic
361#95×C139C2311yescharacteristic
362#95×C139C2311yescharacteristic
363#95×C139C2311yescharacteristic
364#95×C139C2311yescharacteristic
365#95×C139C2311yescharacteristic
366#95×C139C2311yescharacteristic
367#95×C139C2311yescharacteristic
368#95×C139C2311yescharacteristic
369#95×C139C2311yescharacteristic
370C24×C139—22no—
371C24×C139—22no—
372C24×C139—41no—
373C24×C139—41no—
374C24×C139—41no—
375C24×C139—41no—
376C24×C139C22×C414yes—
377C24×C139C2411yescharacteristic
378C24×C139C2411yescharacteristic
379C24×C139C2411yescharacteristic
380C24×C139C2411yescharacteristic
381C2×Q8×C139—41no—
382C2×Q8×C139—41no—
383C2×Q8×C139C22×C414yes—
384C2×D4×C139—22no—
385C2×D4×C139—22no—
386C2×D4×C139—41no—
387C2×D4×C139—41no—
388C2×D4×C139—41no—
389C2×D4×C139—41no—
390C2×D4×C139C22×C414yes—
391C2×D4×C139C22×C414yes—
392C2×D4×C139C22×C414yes—
393C22×C4×C139—22no—
394C22×C4×C139—22no—
395C22×C4×C139—22no—
396C22×C4×C139—22no—
397C22×C4×C139—22no—
398C22×C4×C139—22no—
399C22×C4×C139—22no—
400C22×C4×C139—41no—
401C22×C4×C139—41no—
402C22×C4×C139—41no—
403C22×C4×C139—41no—
404C22×C4×C139—41no—
405C22×C4×C139—41no—
406C22×C4×C139—41no—
407C22×C4×C139—41no—
408C22×C4×C139—41no—
409C22×C4×C139—41no—
410C22×C4×C139—41no—
411C22×C4×C139—41no—
412C22×C4×C139—41no—
413C22×C4×C139—41no—
414C22×C4×C139—41no—
415C22×C4×C139—41no—
416C22×C4×C139—41no—
417C22×C4×C139—41no—
418C22×C4×C139—41no—
419C22×C4×C139—41no—
420C22×C4×C139—41no—
421C22×C4×C139—41no—
422C22×C4×C139—41no—
423C22×C4×C139—41no—
424C22×C4×C139—41no—
425C22×C4×C139—41no—
426C22×C4×C139—41no—
427C22×C4×C139C22×C414yes—
428C22×C4×C139C22×C414yes—
429C22×C4×C139C22×C414yes—
430C22×C4×C139C22×C414yes—
431C22×C4×C139C22×C414yes—
432C22×C4×C139C2411yescharacteristic
433C22×C4×C139C2411yescharacteristic
434C22×C4×C139C2411yescharacteristic
435C22×C4×C139C2411yescharacteristic
436C22×C4×C139C2411yescharacteristic
437C22×C4×C139C2411yescharacteristic
438C22×C4×C139C2411yescharacteristic
439C22×C4×C139C2411yescharacteristic
440C22×C4×C139C2411yescharacteristic
441C22×C4×C139C2411yescharacteristic
442C22×C4×C139C2411yescharacteristic
443C22×C4×C139C2411yescharacteristic
444C22×C4×C139C2411yescharacteristic
445C22×C4×C139C2411yescharacteristic
446C22×C4×C139C2411yescharacteristic
447C22×C4×C139C2411yescharacteristic
448C22×C4×C139C2411yescharacteristic
449C22×C4×C139C2411yescharacteristic
450C22×C4×C139C2411yescharacteristic
451C22×C4×C139C2411yescharacteristic
452C22×C4×C139C2411yescharacteristic
453C22×C4×C139C2411yescharacteristic
454C22×C4×C139C2411yescharacteristic
455C22×C4×C139C2411yescharacteristic
456C22×C4×C139C2411yescharacteristic
457C22×C4×C139C2411yescharacteristic
458C22×C4×C139C2411yescharacteristic
459C4⋊C4×C139—22no—
460C4⋊C4×C139—41no—
461C4⋊C4×C139—41no—
462C4⋊C4×C139—41no—
463C4⋊C4×C139—41no—
464C4⋊C4×C139—41no—
465C4⋊C4×C139—41no—
466C4⋊C4×C139—41no—
467C4⋊C4×C139—41no—
468C4⋊C4×C139—41no—
469C4⋊C4×C139—41no—
470C4⋊C4×C139—41no—
471C4⋊C4×C139—41no—
472C4⋊C4×C139—41no—
473C4⋊C4×C139—41no—
474C4⋊C4×C139—41no—
475C4⋊C4×C139—41no—
476C4⋊C4×C139—41no—
477C4⋊C4×C139—41no—
478C4⋊C4×C139—41no—
479C4⋊C4×C139—41no—
480C4⋊C4×C139—41no—
481C4⋊C4×C139—41no—
482C4⋊C4×C139—41no—
483C4⋊C4×C139—41no—
484C4⋊C4×C139—41no—
485C4⋊C4×C139C22×C414yes—
486C4⋊C4×C139C22×C414yes—
487C4⋊C4×C139C22×C414yes—
488C4⋊C4×C139C22×C414yes—
489C4⋊C4×C139C22×C414yes—
490C4⋊C4×C139C22×C414yes—
491C4⋊C4×C139C22×C414yes—
492C4⋊C4×C139C22×C414yes—
493C22⋊C4×C139—22no—
494C22⋊C4×C139—22no—
495C22⋊C4×C139—22no—
496C22⋊C4×C139—22no—
497C22⋊C4×C139—22no—
498C22⋊C4×C139—22no—
499C22⋊C4×C139—22no—
500C22⋊C4×C139—41no—
501C22⋊C4×C139—41no—
502C22⋊C4×C139—41no—
503C22⋊C4×C139—41no—
504C22⋊C4×C139—41no—
505C22⋊C4×C139—41no—
506C22⋊C4×C139—41no—
507C22⋊C4×C139—41no—
508C22⋊C4×C139—41no—
509C22⋊C4×C139—41no—
510C22⋊C4×C139—41no—
511C22⋊C4×C139—41no—
512C22⋊C4×C139—41no—
513C22⋊C4×C139—41no—
514C22⋊C4×C139—41no—
515C22⋊C4×C139—41no—
516C22⋊C4×C139—41no—
517C22⋊C4×C139C22×C414yes—
518C22⋊C4×C139C22×C414yes—
519C22⋊C4×C139C22×C414yes—
520C22⋊C4×C139C22×C414yes—
521C22⋊C4×C139C22×C414yes—
522C22⋊C4×C139C22×C414yes—
523C22⋊C4×C139C22×C414yes—
524C22⋊C4×C139C22×C414yes—
525C22⋊C4×C139C22×C414yes—
526C22⋊C4×C139C22×C414yes—
527C22⋊C4×C139C22×C414yes—
528C22⋊C4×C139C22×C414yes—
529C22⋊C4×C139C22×C414yes—
530C22⋊C4×C139C22×C414yes—
531C42×C139—22no—
532C42×C139—22no—
533C42×C139—22no—
534C42×C139—22no—
535C42×C139—41no—
536C42×C139—41no—
537C42×C139—41no—
538C42×C139—41no—
539C42×C139—41no—
540C42×C139—41no—
541C42×C139—41no—
542C42×C139—41no—
543C42×C139—41no—
544C42×C139—41no—
545C42×C139—41no—
546C42×C139—41no—
547C42×C139—41no—
548C42×C139—41no—
549C42×C139C22×C414yes—
550C42×C139C22×C414yes—
551C42×C139C22×C414yes—
552C23×C139—21no—
553C23×C139—21no—
554C23×C139—21no—
555C23×C139—21no—
556C23×C139—21no—
557C23×C139—21no—
558C23×C139—21no—
559C23×C139—21no—
560C23×C139—21no—
561C23×C139—21no—
562C23×C139—21no—
563C23×C139—21no—
564C23×C139—21no—
565C23×C139—21no—
566C23×C139—21no—
567C23×C139—21no—
568C23×C139—21no—
569C23×C139—21no—
570C23×C139—21no—
571C23×C139—21no—
572C23×C139—21no—
573C23×C139—21no—
574C23×C139—28no—
575C23×C139—44no—
576C23×C139—44no—
577C23×C139—82no—
578C23×C139—82no—
579C23×C139—82no—
580C23×C139—82no—
581C23×C139C23×C412yes—
582C23×C139C23×C412yes—
583C23×C139C23×C412yes—
584C23×C139C23×C412yes—
585C23×C139H(5,𝔽2)12yes—
586C23×C1392−1+412yes—
587C23×C139C2511yescharacteristic
588Q8×C139—44no—
589D4×C139—28no—
590D4×C139—44no—
591D4×C139—44no—
592C2×C4×C139—28no—
593C2×C4×C139—21no—
594C2×C4×C139—21no—
595C2×C4×C139—21no—
596C2×C4×C139—21no—
597C2×C4×C139—21no—
598C2×C4×C139—21no—
599C2×C4×C139—21no—
600C2×C4×C139—21no—
601C2×C4×C139—21no—
602C2×C4×C139—21no—
603C2×C4×C139—21no—
604C2×C4×C139—21no—
605C2×C4×C139—21no—
606C2×C4×C139—21no—
607C2×C4×C139—21no—
608C2×C4×C139—21no—
609C2×C4×C139—21no—
610C2×C4×C139—21no—
611C2×C4×C139—21no—
612C2×C4×C139—21no—
613C2×C4×C139—21no—
614C2×C4×C139—21no—
615C2×C4×C139—21no—
616C2×C4×C139—21no—
617C2×C4×C139—21no—
618C2×C4×C139—21no—
619C2×C4×C139—21no—
620C2×C4×C139—21no—
621C2×C4×C139—21no—
622C2×C4×C139—21no—
623C2×C4×C139—21no—
624C2×C4×C139—21no—
625C2×C4×C139—21no—
626C2×C4×C139—21no—
627C2×C4×C139—21no—
628C2×C4×C139—21no—
629C2×C4×C139—21no—
630C2×C4×C139—21no—
631C2×C4×C139—21no—
632C2×C4×C139—21no—
633C2×C4×C139—21no—
634C2×C4×C139—21no—
635C2×C4×C139—21no—
636C2×C4×C139—21no—
637C2×C4×C139—21no—
638C2×C4×C139—21no—
639C2×C4×C139—21no—
640C2×C4×C139—21no—
641C2×C4×C139—21no—
642C2×C4×C139—21no—
643C2×C4×C139—21no—
644C2×C4×C139—21no—
645C2×C4×C139—21no—
646C2×C4×C139—21no—
647C2×C4×C139—21no—
648C2×C4×C139—21no—
649C2×C4×C139—21no—
650C2×C4×C139—21no—
651C2×C4×C139—21no—
652C2×C4×C139—21no—
653C2×C4×C139—21no—
654C2×C4×C139—21no—
655C2×C4×C139—21no—
656C2×C4×C139—21no—
657C2×C4×C139—21no—
658C2×C4×C139—21no—
659C2×C4×C139—21no—
660C2×C4×C139—21no—
661C2×C4×C139—21no—
662C2×C4×C139—44no—
663C2×C4×C139—44no—
664C2×C4×C139—44no—
665C2×C4×C139—44no—
666C2×C4×C139—44no—
667C2×C4×C139—44no—
668C2×C4×C139—82no—
669C2×C4×C139—82no—
670C2×C4×C139—82no—
671C2×C4×C139—82no—
672C2×C4×C139—82no—
673C2×C4×C139—82no—
674C2×C4×C139C23×C412yes—
675C2×C4×C139C23×C412yes—
676C2×C4×C139C23×C412yes—
677C2×C4×C139C23×C412yes—
678C2×C4×C139C23×C412yes—
679C2×C4×C139C23×C412yes—
680C2×C4×C139C23×C412yes—
681C2×C4×C139C23×C412yes—
682C2×C4×C139C23×C412yes—
683C2×C4×C139C23×C412yes—
684C2×C4×C139C23×C412yes—
685C2×C4×C139H(5,𝔽2)12yes—
686C22×C139—22no—
687C22×C139—22no—
688C22×C139—22no—
689C22×C139—22no—
690C22×C139—22no—
691C22×C139—22no—
692C22×C139—22no—
693C22×C139—22no—
694C22×C139—22no—
695C22×C139—22no—
696C22×C139—22no—
697C22×C139—22no—
698C22×C139—22no—
699C22×C139—22no—
700C22×C139—22no—
701C22×C139—41no—
702C22×C139—41no—
703C22×C139—41no—
704C22×C139—41no—
705C22×C139—41no—
706C22×C139—41no—
707C22×C139—41no—
708C22×C139—41no—
709C22×C139—41no—
710C22×C139—41no—
711C22×C139—41no—
712C22×C139—41no—
713C22×C139—88no—
714C22×C139#52014yes—
715C22×C139C24×C411yescharacteristic
716C22×C139C2×H(5,𝔽2)11yescharacteristic
717C22×C139C2×H(5,𝔽2)11yescharacteristic
718C22×C139C2×2−1+411yescharacteristic
719C22×C139#58511yescharacteristic
720C22×C139#58511yescharacteristic
721C22×C139#58511yescharacteristic
722C4×C139—22no—
723C4×C139—22no—
724C4×C139—22no—
725C4×C139—22no—
726C4×C139—22no—
727C4×C139—22no—
728C4×C139—22no—
729C4×C139—22no—
730C4×C139—22no—
731C4×C139—22no—
732C4×C139—22no—
733C4×C139—22no—
734C4×C139—41no—
735C4×C139—41no—
736C4×C139—41no—
737C4×C139—41no—
738C4×C139—41no—
739C4×C139—41no—
740C4×C139—41no—
741C4×C139—41no—
742C4×C139—41no—
743C4×C139—41no—
744C4×C139—41no—
745C4×C139—41no—
746C4×C139—41no—
747C4×C139—41no—
748C4×C139—41no—
749C2×C139—24no—
750C2×C139—42no—
751C2×C139—42no—
752C2×C139—42no—
753C2×C139C2×#52011yescharacteristic
754C2×C139#342811yescharacteristic
755C2×C139C4×H(5,𝔽2)11yescharacteristic
756C2×C139#353511yescharacteristic
757C2×C139#354211yescharacteristic
758C2×C139#354511yescharacteristic
759C2×C139#356411yescharacteristic
760#34479C13911yesmaximal, characteristic, direct product factor, Sylow
761C139#3447911yescharacteristic, direct product factor, Sylow
762C2×#551C2×C13911yescharacteristic
763#2383C2×C13911yescharacteristic, complemented
764#2379C2×C13911yescharacteristic, complemented
765#2378C2×C13911yescharacteristic, complemented
766#2376C2×C13911yescharacteristic, complemented
767#2373C2×C13911yescharacteristic, complemented
768#2368C2×C13911yescharacteristic, complemented
769#2359C2×C13911yescharacteristic, complemented
770#2359C2×C13911yescharacteristic, complemented
771#2358C2×C13911yescharacteristic
772#2354C2×C13911yescharacteristic, complemented
773#2349C2×C13911yescharacteristic, complemented
774#2346C2×C13911yescharacteristic, complemented
775#2343C2×C13911yescharacteristic, complemented
776#2342C2×C13911yescharacteristic, complemented
777#2342C2×C13911yescharacteristic, complemented
778#2335C2×C13911yescharacteristic, complemented
779#2335C2×C13911yescharacteristic, complemented
780#2334C2×C13911yescharacteristic, complemented
781#2334C2×C13911yescharacteristic, complemented
782#2326C2×C13911yescharacteristic, complemented
783#2323C2×C13911yescharacteristic, complemented
784#2322C2×C13911yescharacteristic, complemented
785#2321C2×C13911yescharacteristic
786#2318C2×C13911yescharacteristic, complemented
787#2317C2×C13911yescharacteristic, complemented
788#2315C2×C13911yescharacteristic, complemented
789#2314C2×C13911yescharacteristic, complemented
790C4×C22⋊Q8C2×C13911yescharacteristic, complemented
791#2290C2×C13911yescharacteristic, complemented
792C2×#388C2×C13911yescharacteristic, complemented
793#551C4×C139116yescomplemented
794C2×#126C22×C13911yescharacteristic
795C2×#126C22×C13911yescharacteristic
796C2×#124C22×C13911yescharacteristic
797C2×#123C22×C13911yescharacteristic
798C2×#123C22×C13911yescharacteristic
799C2×#123C22×C13911yescharacteristic
800C2×C22⋊Q8C22×C13911yescharacteristic
801C2×C22⋊Q8C22×C13911yescharacteristic
802C2×#120C22×C13911yescharacteristic
803C2×C4×Q8C22×C13911yescharacteristic, complemented
804C2×C4×D4C22×C13911yescharacteristic
805C2×C4×D4C22×C13911yescharacteristic
806C2×C4×D4C22×C13911yescharacteristic
807C2×C4×D4C22×C13911yescharacteristic
808C2×C4×D4C22×C13911yescharacteristic
809C2×#117C22×C13911yescharacteristic
810C2×#117C22×C13911yescharacteristic
811C2×#117C22×C13911yescharacteristic
812C2×#117C22×C13911yescharacteristic
813C2×#117C22×C13911yescharacteristic, complemented
814C22×C4⋊C4C22×C13911yescharacteristic
815C22×C22⋊C4C22×C13911yescharacteristic
816C22×C22⋊C4C22×C13911yescharacteristic
817C22×C22⋊C4C22×C13911yescharacteristic
818C22×C22⋊C4C22×C13911yescharacteristic
819C22×C22⋊C4C22×C13911yescharacteristic
820C22×C42C22×C13911yescharacteristic
821#391C22×C13911yescharacteristic, complemented
822#391C22×C13911yescharacteristic, complemented
823#391C22×C13911yescharacteristic, complemented
824#390C22×C13911yescharacteristic
825#390C22×C13911yescharacteristic
826#390C22×C13911yescharacteristic
827#389C22×C13911yescharacteristic, complemented
828#389C22×C13911yescharacteristic, complemented
829#389C22×C13911yescharacteristic, complemented
830#389C22×C13911yescharacteristic, complemented
831#389C22×C13911yescharacteristic, complemented
832#389C22×C13911yescharacteristic, complemented
833#389C22×C13911yescharacteristic, complemented
834#389C22×C13911yescharacteristic, complemented
835#389C22×C13911yescharacteristic, complemented
836#389C22×C13911yescharacteristic, complemented
837#388C22×C13911yescharacteristic
838#388C22×C13911yescharacteristic
839#388C22×C13911yescharacteristic
840#388C22×C13911yescharacteristic
841#388C22×C13911yescharacteristic
842#388C22×C13911yescharacteristic
843#388C22×C13911yescharacteristic
844#388C22×C13911yescharacteristic
845#388C22×C13911yescharacteristic
846#388C22×C13911yescharacteristic
847#388C22×C13911yescharacteristic
848#388C22×C13911yescharacteristic
849#388C22×C13911yescharacteristic
850#388C22×C13911yescharacteristic
851#388C22×C13911yescharacteristic
852#388C22×C13911yescharacteristic
853#388C22×C13911yescharacteristic
854#388C22×C13911yescharacteristic
855#388C22×C13911yescharacteristic
856#388C22×C13911yescharacteristic
857#388C22×C13911yescharacteristic
858#388C22×C13911yescharacteristic
859#388C22×C13911yescharacteristic, complemented
860#388C22×C13911yescharacteristic, complemented
861#388C22×C13911yescharacteristic, complemented
862#388C22×C13911yescharacteristic, complemented
863#388C22×C13911yescharacteristic, complemented
864#388C22×C13911yescharacteristic, complemented
865#387C22×C13911yescharacteristic, complemented
866#387C22×C13911yescharacteristic, complemented
867#387C22×C13911yescharacteristic, complemented
868#387C22×C13911yescharacteristic, complemented
869#387C22×C13911yescharacteristic, complemented
870#387C22×C13911yescharacteristic, complemented
871#387C22×C13911yescharacteristic, complemented
872#387C22×C13911yescharacteristic, complemented
873#387C22×C13911yescharacteristic, complemented
874#387C22×C13911yescharacteristic, complemented
875#387C22×C13911yescharacteristic, complemented
876#387C22×C13911yescharacteristic, complemented
877#387C22×C13911yescharacteristic, complemented
878#387C22×C13911yescharacteristic, complemented
879#387C22×C13911yescharacteristic, complemented
880#387C22×C13911yescharacteristic, complemented
881#386C22×C13911yescharacteristic
882#386C22×C13911yescharacteristic
883#386C22×C13911yescharacteristic
884#386C22×C13911yescharacteristic
885#386C22×C13911yescharacteristic
886#386C22×C13911yescharacteristic
887#385C22×C13911yescharacteristic
888#385C22×C13911yescharacteristic
889#385C22×C13911yescharacteristic
890#385C22×C13911yescharacteristic
891#385C22×C13911yescharacteristic
892#385C22×C13911yescharacteristic
893#385C22×C13911yescharacteristic
894#385C22×C13911yescharacteristic
895#385C22×C13911yescharacteristic
896#385C22×C13911yescharacteristic
897#385C22×C13911yescharacteristic
898#385C22×C13911yescharacteristic
899#385C22×C13911yescharacteristic
900#385C22×C13911yescharacteristic
901#385C22×C13911yescharacteristic
902#385C22×C13911yescharacteristic, complemented
903#385C22×C13911yescharacteristic, complemented
904#385C22×C13911yescharacteristic, complemented
905#385C22×C13911yescharacteristic, complemented
906#385C22×C13911yescharacteristic, complemented
907#384C22×C13911yescharacteristic, complemented
908#384C22×C13911yescharacteristic, complemented
909#383C22×C13911yescharacteristic, complemented
910#382C22×C13911yescharacteristic, complemented
911#382C22×C13911yescharacteristic, complemented
912#382C22×C13911yescharacteristic, complemented
913#382C22×C13911yescharacteristic, complemented
914#381C22×C13911yescharacteristic
915#381C22×C13911yescharacteristic
916#380C22×C13911yescharacteristic
917#380C22×C13911yescharacteristic
918#380C22×C13911yescharacteristic
919#380C22×C13911yescharacteristic
920#380C22×C13911yescharacteristic
921#380C22×C13911yescharacteristic
922#380C22×C13911yescharacteristic, complemented
923#379C22×C13911yescharacteristic
924C4×C4⋊C4C22×C13911yescharacteristic, complemented
925C4×C4⋊C4C22×C13911yescharacteristic, complemented
926C4×C4⋊C4C22×C13911yescharacteristic, complemented
927C4×C4⋊C4C22×C13911yescharacteristic, complemented
928C4×C4⋊C4C22×C13911yescharacteristic, complemented
929C4×C4⋊C4C22×C13911yescharacteristic, complemented
930C4×C4⋊C4C22×C13911yescharacteristic, complemented
931C4×C4⋊C4C22×C13911yescharacteristic, complemented
932C4×C4⋊C4C22×C13911yescharacteristic, complemented
933C4×C22⋊C4C22×C13911yescharacteristic
934C4×C22⋊C4C22×C13911yescharacteristic
935C4×C22⋊C4C22×C13911yescharacteristic
936C4×C22⋊C4C22×C13911yescharacteristic
937C4×C22⋊C4C22×C13911yescharacteristic
938C4×C22⋊C4C22×C13911yescharacteristic
939C4×C22⋊C4C22×C13911yescharacteristic
940C4×C22⋊C4C22×C13911yescharacteristic
941C4×C22⋊C4C22×C13911yescharacteristic
942C4×C22⋊C4C22×C13911yescharacteristic, complemented
943C4×C22⋊C4C22×C13911yescharacteristic, complemented
944#376C22×C13911yescharacteristic, complemented
945#376C22×C13911yescharacteristic, complemented
946C2×#95C22×C13911yescharacteristic
947C2×#95C22×C13911yescharacteristic
948C2×#95C22×C13911yescharacteristic, complemented
949C25C23×C13911yescharacteristic
950C22×Q8C23×C13911yescharacteristic
951C22×D4C23×C13911yescharacteristic
952C22×D4C23×C13911yescharacteristic
953C22×D4C23×C13911yescharacteristic
954C23×C4C23×C13911yescharacteristic
955C23×C4C23×C13911yescharacteristic
956C23×C4C23×C13911yescharacteristic
957C23×C4C23×C13911yescharacteristic
958C23×C4C23×C13911yescharacteristic
959C23×C4C23×C13911yescharacteristic
960C23×C4C23×C13911yescharacteristic
961C23×C4C23×C13911yescharacteristic
962C23×C4C23×C13911yescharacteristic
963C23×C4C23×C13911yescharacteristic
964C23×C4C23×C13911yescharacteristic
965C23×C4C23×C13911yescharacteristic
966C23×C4C23×C13911yescharacteristic
967#126C2×C4×C13918yescomplemented
968#126C2×C4×C13918yescomplemented
969#124C2×C4×C13918yescomplemented
970#123C2×C4×C13918yescomplemented
971#123C2×C4×C13918yescomplemented
972#123C2×C4×C13918yescomplemented
973C22⋊Q8C2×C4×C13918yescomplemented
974C22⋊Q8C2×C4×C13918yescomplemented
975#120C2×C4×C13918yes—
976C4×Q8—42no—
977C4×D4—42no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4C2×C4×C13918yescomplemented
981C4×D4C2×C4×C13918yescomplemented
982#117—42no—
983#117—42no—
984#117—42no—
985#117C2×C4×C13918yescomplemented
986#117C2×C4×C13918yescomplemented
987C2×C4⋊C4—42no—
988C2×C4⋊C4C23×C13911yescharacteristic
989C2×C4⋊C4C23×C13911yescharacteristic
990C2×C4⋊C4C23×C13911yescharacteristic
991C2×C4⋊C4C23×C13911yescharacteristic
992C2×C4⋊C4C23×C13911yescharacteristic
993C2×C4⋊C4C23×C13911yescharacteristic
994C2×C4⋊C4C23×C13911yescharacteristic
995C2×C4⋊C4C23×C13911yescharacteristic
996C2×C4⋊C4C23×C13911yescharacteristic
997C2×C4⋊C4C23×C13911yescharacteristic
998C2×C4⋊C4C23×C13911yescharacteristic
999C2×C4⋊C4C23×C13911yescharacteristic
1000C2×C4⋊C4C23×C13911yescharacteristic
1001C2×C4⋊C4C23×C13911yescharacteristic
1002C2×C4⋊C4C23×C13911yescharacteristic
1003C2×C4⋊C4C23×C13911yescharacteristic
1004C2×C4⋊C4C23×C13911yescharacteristic
1005C2×C4⋊C4C23×C13911yescharacteristic
1006C2×C4⋊C4C23×C13911yescharacteristic
1007C2×C4⋊C4C23×C13911yescharacteristic
1008C2×C4⋊C4C23×C13911yescharacteristic
1009C2×C4⋊C4C23×C13911yescharacteristic
1010C2×C4⋊C4C23×C13911yescharacteristic
1011C2×C4⋊C4C23×C13911yescharacteristic
1012C2×C4⋊C4C23×C13911yescharacteristic
1013C2×C4⋊C4C23×C13911yescharacteristic
1014C2×C4⋊C4C23×C13911yescharacteristic
1015C2×C4⋊C4C23×C13911yescharacteristic
1016C2×C4⋊C4C23×C13911yescharacteristic
1017C2×C4⋊C4C23×C13911yescharacteristic
1018C2×C4⋊C4C23×C13911yescharacteristic
1019C2×C4⋊C4C23×C13911yescharacteristic
1020C2×C4⋊C4C23×C13911yescharacteristic
1021C2×C4⋊C4C23×C13911yescharacteristic
1022C2×C22⋊C4—42no—
1023C2×C22⋊C4—42no—
1024C2×C22⋊C4—42no—
1025C2×C22⋊C4C2×C4×C13918yescomplemented
1026C2×C22⋊C4C2×C4×C13918yescomplemented
1027C2×C22⋊C4C23×C13911yescharacteristic
1028C2×C22⋊C4C23×C13911yescharacteristic
1029C2×C22⋊C4C23×C13911yescharacteristic
1030C2×C22⋊C4C23×C13911yescharacteristic
1031C2×C22⋊C4C23×C13911yescharacteristic
1032C2×C22⋊C4C23×C13911yescharacteristic
1033C2×C22⋊C4C23×C13911yescharacteristic
1034C2×C22⋊C4C23×C13911yescharacteristic
1035C2×C22⋊C4C23×C13911yescharacteristic
1036C2×C22⋊C4C23×C13911yescharacteristic
1037C2×C22⋊C4C23×C13911yescharacteristic
1038C2×C22⋊C4C23×C13911yescharacteristic
1039C2×C22⋊C4C23×C13911yescharacteristic
1040C2×C22⋊C4C23×C13911yescharacteristic
1041C2×C22⋊C4C23×C13911yescharacteristic
1042C2×C22⋊C4C23×C13911yescharacteristic
1043C2×C22⋊C4C23×C13911yescharacteristic
1044C2×C22⋊C4C23×C13911yescharacteristic
1045C2×C22⋊C4C23×C13911yescharacteristic
1046C2×C22⋊C4C23×C13911yescharacteristic
1047C2×C22⋊C4C23×C13911yescharacteristic
1048C2×C22⋊C4C23×C13911yescharacteristic
1049C2×C22⋊C4C23×C13911yescharacteristic
1050C2×C22⋊C4C23×C13911yescharacteristic
1051C2×C22⋊C4C23×C13911yescharacteristic
1052C2×C22⋊C4C23×C13911yescharacteristic
1053C2×C22⋊C4C23×C13911yescharacteristic
1054C2×C22⋊C4C23×C13911yescharacteristic
1055C2×C22⋊C4C23×C13911yescharacteristic
1056C2×C22⋊C4C23×C13911yescharacteristic
1057C2×C22⋊C4C23×C13911yescharacteristic
1058C2×C22⋊C4C23×C13911yescharacteristic
1059C2×C22⋊C4C23×C13911yescharacteristic
1060C2×C22⋊C4C23×C13911yescharacteristic
1061C2×C22⋊C4C23×C13911yescharacteristic
1062C2×C22⋊C4C23×C13911yescharacteristic
1063C2×C22⋊C4C23×C13911yescharacteristic
1064C2×C22⋊C4C23×C13911yescharacteristic
1065C2×C42—42no—
1066C2×C42C23×C13911yescharacteristic
1067C2×C42C23×C13911yescharacteristic
1068C2×C42C23×C13911yescharacteristic
1069C2×C42C23×C13911yescharacteristic
1070C2×C42C23×C13911yescharacteristic
1071C2×C42C23×C13911yescharacteristic
1072C2×C42C23×C13911yescharacteristic
1073C2×C42C23×C13911yescharacteristic
1074C2×C42C23×C13911yescharacteristic
1075C2×C42C23×C13911yescharacteristic
1076C2×C42C23×C13911yescharacteristic
1077C2×C42C23×C13911yescharacteristic
1078C2×C42C23×C13911yescharacteristic
1079C2×C42C23×C13911yescharacteristic
1080C2×C42C23×C13911yescharacteristic
1081C2×C42C23×C13911yescharacteristic
1082C2×C42C23×C13911yescharacteristic
1083C2×C42C23×C13911yescharacteristic
1084C2×C42C23×C13911yescharacteristic
1085C2×C42C23×C13911yescharacteristic
1086C2×C42C23×C13911yescharacteristic
1087#95C23×C13911yescharacteristic
1088#95C23×C13911yescharacteristic
1089#95C23×C13911yescharacteristic
1090#95C23×C13911yescharacteristic
1091#95C23×C13911yescharacteristic
1092#95C23×C13911yescharacteristic
1093#95C23×C13911yescharacteristic
1094#95C23×C13911yescharacteristic
1095#95C23×C13911yescharacteristic
1096#95C23×C13911yescharacteristic
1097#95C23×C13911yescharacteristic
1098#95C23×C13911yescharacteristic
1099#95C23×C13911yescharacteristic
1100#95C23×C13911yescharacteristic
1101#95C23×C13911yescharacteristic
1102#95C23×C13911yescharacteristic
1103#95C23×C13911yescharacteristic
1104#95C23×C13911yescharacteristic
1105#95C23×C13911yescharacteristic
1106#95C23×C13911yescharacteristic
1107#95C23×C13911yescharacteristic
1108#95C23×C13911yescharacteristic
1109#95C23×C13911yescharacteristic
1110#95C23×C13911yescharacteristic
1111#95C23×C13911yescharacteristic
1112#95C23×C13911yescharacteristic
1113#95C23×C13911yescharacteristic
1114#95C23×C13911yescharacteristic
1115#95C23×C13911yescharacteristic
1116#95C23×C13911yescharacteristic
1117#95C23×C13911yescharacteristic
1118#95C23×C13911yescharacteristic
1119#95C23×C13911yescharacteristic
1120#95C23×C13911yescharacteristic
1121#95C23×C13911yescharacteristic
1122#95C23×C13911yescharacteristic
1123#95C23×C13911yescharacteristic
1124#95C23×C13911yescharacteristic
1125#95C23×C13911yescharacteristic
1126#95C23×C13911yescharacteristic
1127#95C23×C13911yescharacteristic
1128#95C23×C13911yescharacteristic
1129#95C23×C13911yescharacteristic
1130#95C23×C13911yescharacteristic
1131C24—22no—
1132C24—22no—
1133C24—41no—
1134C24—41no—
1135C24—41no—
1136C24—41no—
1137C24C22×C4×C13914yes—
1138C24C24×C13911yescharacteristic
1139C24C24×C13911yescharacteristic
1140C24C24×C13911yescharacteristic
1141C24C24×C13911yescharacteristic
1142C2×Q8—41no—
1143C2×Q8—41no—
1144C2×Q8C22×C4×C13914yes—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4C22×C4×C13914yes—
1152C2×D4C22×C4×C13914yes—
1153C2×D4C22×C4×C13914yes—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—22no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—41no—
1167C22×C4—41no—
1168C22×C4—41no—
1169C22×C4—41no—
1170C22×C4—41no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—41no—
1174C22×C4—41no—
1175C22×C4—41no—
1176C22×C4—41no—
1177C22×C4—41no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4C22×C4×C13914yes—
1189C22×C4C22×C4×C13914yes—
1190C22×C4C22×C4×C13914yes—
1191C22×C4C22×C4×C13914yes—
1192C22×C4C22×C4×C13914yes—
1193C22×C4C24×C13911yescharacteristic
1194C22×C4C24×C13911yescharacteristic
1195C22×C4C24×C13911yescharacteristic
1196C22×C4C24×C13911yescharacteristic
1197C22×C4C24×C13911yescharacteristic
1198C22×C4C24×C13911yescharacteristic
1199C22×C4C24×C13911yescharacteristic
1200C22×C4C24×C13911yescharacteristic
1201C22×C4C24×C13911yescharacteristic
1202C22×C4C24×C13911yescharacteristic
1203C22×C4C24×C13911yescharacteristic
1204C22×C4C24×C13911yescharacteristic
1205C22×C4C24×C13911yescharacteristic
1206C22×C4C24×C13911yescharacteristic
1207C22×C4C24×C13911yescharacteristic
1208C22×C4C24×C13911yescharacteristic
1209C22×C4C24×C13911yescharacteristic
1210C22×C4C24×C13911yescharacteristic
1211C22×C4C24×C13911yescharacteristic
1212C22×C4C24×C13911yescharacteristic
1213C22×C4C24×C13911yescharacteristic
1214C22×C4C24×C13911yescharacteristic
1215C22×C4C24×C13911yescharacteristic
1216C22×C4C24×C13911yescharacteristic
1217C22×C4C24×C13911yescharacteristic
1218C22×C4C24×C13911yescharacteristic
1219C22×C4C24×C13911yescharacteristic
1220C4⋊C4—22no—
1221C4⋊C4—41no—
1222C4⋊C4—41no—
1223C4⋊C4—41no—
1224C4⋊C4—41no—
1225C4⋊C4—41no—
1226C4⋊C4—41no—
1227C4⋊C4—41no—
1228C4⋊C4—41no—
1229C4⋊C4—41no—
1230C4⋊C4—41no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4C22×C4×C13914yes—
1247C4⋊C4C22×C4×C13914yes—
1248C4⋊C4C22×C4×C13914yes—
1249C4⋊C4C22×C4×C13914yes—
1250C4⋊C4C22×C4×C13914yes—
1251C4⋊C4C22×C4×C13914yes—
1252C4⋊C4C22×C4×C13914yes—
1253C4⋊C4C22×C4×C13914yes—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4C22×C4×C13914yes—
1279C22⋊C4C22×C4×C13914yes—
1280C22⋊C4C22×C4×C13914yes—
1281C22⋊C4C22×C4×C13914yes—
1282C22⋊C4C22×C4×C13914yes—
1283C22⋊C4C22×C4×C13914yes—
1284C22⋊C4C22×C4×C13914yes—
1285C22⋊C4C22×C4×C13914yes—
1286C22⋊C4C22×C4×C13914yes—
1287C22⋊C4C22×C4×C13914yes—
1288C22⋊C4C22×C4×C13914yes—
1289C22⋊C4C22×C4×C13914yes—
1290C22⋊C4C22×C4×C13914yes—
1291C22⋊C4C22×C4×C13914yes—
1292C42—22no—
1293C42—22no—
1294C42—22no—
1295C42—22no—
1296C42—41no—
1297C42—41no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42C22×C4×C13914yes—
1311C42C22×C4×C13914yes—
1312C42C22×C4×C13914yes—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—28no—
1336C23—44no—
1337C23—44no—
1338C23—82no—
1339C23—82no—
1340C23—82no—
1341C23—82no—
1342C23C23×C4×C13912yes—
1343C23C23×C4×C13912yes—
1344C23C23×C4×C13912yes—
1345C23C23×C4×C13912yes—
1346C23H(5,𝔽2)×C13912yes—
1347C232−1+4×C13912yes—
1348C23C25×C13911yescharacteristic
1349Q8—44no—
1350D4—28no—
1351D4—44no—
1352D4—44no—
1353C2×C4—28no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—44no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—82no—
1430C2×C4—82no—
1431C2×C4—82no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4C23×C4×C13912yes—
1436C2×C4C23×C4×C13912yes—
1437C2×C4C23×C4×C13912yes—
1438C2×C4C23×C4×C13912yes—
1439C2×C4C23×C4×C13912yes—
1440C2×C4C23×C4×C13912yes—
1441C2×C4C23×C4×C13912yes—
1442C2×C4C23×C4×C13912yes—
1443C2×C4C23×C4×C13912yes—
1444C2×C4C23×C4×C13912yes—
1445C2×C4C23×C4×C13912yes—
1446C2×C4H(5,𝔽2)×C13912yes—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—22no—
1452C22—22no—
1453C22—22no—
1454C22—22no—
1455C22—22no—
1456C22—22no—
1457C22—22no—
1458C22—22no—
1459C22—22no—
1460C22—22no—
1461C22—22no—
1462C22—41no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—88no—
1475C22#520×C13914yes—
1476C22C24×C4×C13911yescharacteristic
1477C22C2×H(5,𝔽2)×C13911yescharacteristic
1478C22C2×H(5,𝔽2)×C13911yescharacteristic
1479C22C2×2−1+4×C13911yescharacteristic
1480C22#585×C13911yescharacteristic
1481C22#585×C13911yescharacteristic
1482C22#585×C13911yescharacteristic
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C4—41no—
1500C4—41no—
1501C4—41no—
1502C4—41no—
1503C4—41no—
1504C4—41no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C2—24no—
1511C2—42no—
1512C2—42no—
1513C2—42no—
1514C2C2×#520×C13911yescharacteristic
1515C2#3428×C13911yescharacteristic
1516C2C4×H(5,𝔽2)×C13911yescharacteristic
1517C2#3535×C13911yescharacteristic
1518C2#3542×C13911yescharacteristic
1519C2#3545×C13911yescharacteristic
1520C2#3564×C13911yescharacteristic
subgroupG/H
center, socleC23×C139C25
commutatorC22C24×C4×C139
Frattini, cosocleC23C25×C139
prime radicalC2×#120×C139C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C139 ◁ G

Complements

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

NH ≅ G/Ntype
2. #2383×C139C2semidirect
3. #2379×C139C2semidirect
4. #2378×C139C2semidirect
5. #2376×C139C2semidirect
6. #2373×C139C2semidirect
7. #2368×C139C2semidirect
8. #2359×C139C2semidirect
9. #2359×C139C2semidirect
11. #2354×C139C2semidirect
12. #2349×C139C2semidirect
13. #2346×C139C2semidirect
14. #2343×C139C2semidirect
15. #2342×C139C2semidirect
16. #2342×C139C2semidirect
17. #2335×C139C2semidirect
18. #2335×C139C2semidirect
19. #2334×C139C2semidirect
20. #2334×C139C2semidirect
21. #2326×C139C2semidirect
22. #2323×C139C2semidirect
23. #2322×C139C2semidirect
25. #2318×C139C2semidirect
26. #2317×C139C2semidirect
27. #2315×C139C2semidirect
28. #2314×C139C2semidirect
29. C4×C22⋊Q8×C139C2semidirect
30. #2290×C139C2semidirect
31. C2×#388×C139C2semidirect
32. #551×C139C4semidirect
42. C2×C4×Q8×C139C22semidirect
52. C2×#117×C139C22semidirect
60. #391×C139C22semidirect
61. #391×C139C22semidirect
62. #391×C139C22semidirect
66. #389×C139C22semidirect
67. #389×C139C22semidirect
68. #389×C139C22semidirect
69. #389×C139C22semidirect
70. #389×C139C22semidirect
71. #389×C139C22semidirect
72. #389×C139C22semidirect
73. #389×C139C22semidirect
74. #389×C139C22semidirect
75. #389×C139C22semidirect
98. #388×C139C22semidirect
99. #388×C139C22semidirect
100. #388×C139C22semidirect
101. #388×C139C22semidirect
102. #388×C139C22semidirect
103. #388×C139C22semidirect
104. #387×C139C22semidirect
105. #387×C139C22semidirect
106. #387×C139C22semidirect
107. #387×C139C22semidirect
108. #387×C139C22semidirect
109. #387×C139C22semidirect
110. #387×C139C22semidirect
111. #387×C139C22semidirect
112. #387×C139C22semidirect
113. #387×C139C22semidirect
114. #387×C139C22semidirect
115. #387×C139C22semidirect
116. #387×C139C22semidirect
117. #387×C139C22semidirect
118. #387×C139C22semidirect
119. #387×C139C22semidirect
141. #385×C139C22semidirect
142. #385×C139C22semidirect
143. #385×C139C22semidirect
144. #385×C139C22semidirect
145. #385×C139C22semidirect
146. #384×C139C22semidirect
147. #384×C139C22semidirect
148. #383×C139C22semidirect
149. #382×C139C22semidirect
150. #382×C139C22semidirect
151. #382×C139C22semidirect
152. #382×C139C22semidirect
161. #380×C139C22semidirect
163. C4×C4⋊C4×C139C22semidirect
164. C4×C4⋊C4×C139C22semidirect
165. C4×C4⋊C4×C139C22semidirect
166. C4×C4⋊C4×C139C22semidirect
167. C4×C4⋊C4×C139C22semidirect
168. C4×C4⋊C4×C139C22semidirect
169. C4×C4⋊C4×C139C22semidirect
170. C4×C4⋊C4×C139C22semidirect
171. C4×C4⋊C4×C139C22semidirect
181. C4×C22⋊C4×C139C22semidirect
182. C4×C22⋊C4×C139C22semidirect
183. #376×C139C22semidirect
184. #376×C139C22semidirect
187. C2×#95×C139C22semidirect
206. #126×C139C2×C4semidirect
207. #126×C139C2×C4semidirect
208. #124×C139C2×C4semidirect
209. #123×C139C2×C4semidirect
210. #123×C139C2×C4semidirect
211. #123×C139C2×C4semidirect
212. C22⋊Q8×C139C2×C4semidirect
213. C22⋊Q8×C139C2×C4semidirect
219. C4×D4×C139C2×C4semidirect
220. C4×D4×C139C2×C4semidirect
224. #117×C139C2×C4semidirect
225. #117×C139C2×C4semidirect
264. C2×C22⋊C4×C139C2×C4semidirect
265. C2×C22⋊C4×C139C2×C4semidirect
760. #34479C139direct (N × H)
761. C139#34479direct (N × H)
763. #2383C2×C139semidirect
764. #2379C2×C139semidirect
765. #2378C2×C139semidirect
766. #2376C2×C139semidirect
767. #2373C2×C139semidirect
768. #2368C2×C139semidirect
769. #2359C2×C139semidirect
770. #2359C2×C139semidirect
772. #2354C2×C139semidirect
773. #2349C2×C139semidirect
774. #2346C2×C139semidirect
775. #2343C2×C139semidirect
776. #2342C2×C139semidirect
777. #2342C2×C139semidirect
778. #2335C2×C139semidirect
779. #2335C2×C139semidirect
780. #2334C2×C139semidirect
781. #2334C2×C139semidirect
782. #2326C2×C139semidirect
783. #2323C2×C139semidirect
784. #2322C2×C139semidirect
786. #2318C2×C139semidirect
787. #2317C2×C139semidirect
788. #2315C2×C139semidirect
789. #2314C2×C139semidirect
790. C4×C22⋊Q8C2×C139semidirect
791. #2290C2×C139semidirect
792. C2×#388C2×C139semidirect
793. #551C4×C139semidirect
803. C2×C4×Q8C22×C139semidirect
813. C2×#117C22×C139semidirect
821. #391C22×C139semidirect
822. #391C22×C139semidirect
823. #391C22×C139semidirect
827. #389C22×C139semidirect
828. #389C22×C139semidirect
829. #389C22×C139semidirect
830. #389C22×C139semidirect
831. #389C22×C139semidirect
832. #389C22×C139semidirect
833. #389C22×C139semidirect
834. #389C22×C139semidirect
835. #389C22×C139semidirect
836. #389C22×C139semidirect
859. #388C22×C139semidirect
860. #388C22×C139semidirect
861. #388C22×C139semidirect
862. #388C22×C139semidirect
863. #388C22×C139semidirect
864. #388C22×C139semidirect
865. #387C22×C139semidirect
866. #387C22×C139semidirect
867. #387C22×C139semidirect
868. #387C22×C139semidirect
869. #387C22×C139semidirect
870. #387C22×C139semidirect
871. #387C22×C139semidirect
872. #387C22×C139semidirect
873. #387C22×C139semidirect
874. #387C22×C139semidirect
875. #387C22×C139semidirect
876. #387C22×C139semidirect
877. #387C22×C139semidirect
878. #387C22×C139semidirect
879. #387C22×C139semidirect
880. #387C22×C139semidirect
902. #385C22×C139semidirect
903. #385C22×C139semidirect
904. #385C22×C139semidirect
905. #385C22×C139semidirect
906. #385C22×C139semidirect
907. #384C22×C139semidirect
908. #384C22×C139semidirect
909. #383C22×C139semidirect
910. #382C22×C139semidirect
911. #382C22×C139semidirect
912. #382C22×C139semidirect
913. #382C22×C139semidirect
922. #380C22×C139semidirect
924. C4×C4⋊C4C22×C139semidirect
925. C4×C4⋊C4C22×C139semidirect
926. C4×C4⋊C4C22×C139semidirect
927. C4×C4⋊C4C22×C139semidirect
928. C4×C4⋊C4C22×C139semidirect
929. C4×C4⋊C4C22×C139semidirect
930. C4×C4⋊C4C22×C139semidirect
931. C4×C4⋊C4C22×C139semidirect
932. C4×C4⋊C4C22×C139semidirect
942. C4×C22⋊C4C22×C139semidirect
943. C4×C22⋊C4C22×C139semidirect
944. #376C22×C139semidirect
945. #376C22×C139semidirect
948. C2×#95C22×C139semidirect
967. #126C2×C4×C139semidirect
968. #126C2×C4×C139semidirect
969. #124C2×C4×C139semidirect
970. #123C2×C4×C139semidirect
971. #123C2×C4×C139semidirect
972. #123C2×C4×C139semidirect
973. C22⋊Q8C2×C4×C139semidirect
974. C22⋊Q8C2×C4×C139semidirect
980. C4×D4C2×C4×C139semidirect
981. C4×D4C2×C4×C139semidirect
985. #117C2×C4×C139semidirect
986. #117C2×C4×C139semidirect
1025. C2×C22⋊C4C2×C4×C139semidirect
1026. C2×C22⋊C4C2×C4×C139semidirect

Maximal subgroups

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

subgroupindex
C2×#551×C1392
#2383×C1392
#2379×C1392
#2378×C1392
#2376×C1392
#2373×C1392
#2368×C1392
#2359×C1392
#2358×C1392
#2354×C1392
#2349×C1392
#2346×C1392
#2343×C1392
#2342×C1392
#2335×C1392
#2334×C1392
#2326×C1392
#2323×C1392
#2322×C1392
#2321×C1392
#2318×C1392
#2317×C1392
#2315×C1392
#2314×C1392
C4×C22⋊Q8×C1392
#2290×C1392
C2×#388×C1392
#34479139