Finite Group Databasebeta

← C37×#34469 #22655722

Subgroups — C37×#34469 #22655722

Order 9472.

2372 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#547C211yesmaximal, characteristic
2C37×#2381C211yesmaximal, characteristic, complemented
3C37×#2378C211yesmaximal, characteristic, complemented
4C37×#2377C211yesmaximal, characteristic, complemented
5C37×#2376C211yesmaximal, characteristic, complemented
6C37×#2374C211yesmaximal, characteristic, complemented
7C37×#2368C211yesmaximal, characteristic, complemented
8C37×#2364C211yesmaximal, characteristic, complemented
9C37×#2359C211yesmaximal, characteristic, complemented
10C37×#2359C211yesmaximal, characteristic, complemented
11C37×#2353C211yesmaximal, characteristic, complemented
12C37×#2353C211yesmaximal, characteristic, complemented
13C37×#2345C211yesmaximal, characteristic, complemented
14C37×#2344C211yesmaximal, characteristic, complemented
15C37×#2339C211yesmaximal, characteristic, complemented
16C37×#2339C211yesmaximal, characteristic, complemented
17C37×#2335C211yesmaximal, characteristic, complemented
18C37×#2335C211yesmaximal, characteristic, complemented
19C37×#2333C211yesmaximal, characteristic, complemented
20C37×#2332C211yesmaximal, characteristic, complemented
21C37×#2331C211yesmaximal, characteristic, complemented
22C37×#2329C211yesmaximal, characteristic, complemented
23C37×#2325C211yesmaximal, characteristic, complemented
24C37×#2322C211yesmaximal, characteristic, complemented
25C37×#2318C211yesmaximal, characteristic, complemented
26C37×#2318C211yesmaximal, characteristic, complemented
27C37×#2313C211yesmaximal, characteristic, complemented
28C37×#2311C211yesmaximal, characteristic, complemented
29C4×#123×C37C211yesmaximal, characteristic, complemented
30C37×#2297C211yesmaximal, characteristic, complemented
31C2×C37×#387C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C22×#41×C37C2211yescharacteristic
34C37×#547C4116yescomplemented
35C2×C4⋊Q8×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C2×C4×D4×C37C2211yescharacteristic
46C2×C4×D4×C37C2211yescharacteristic
47C2×C4×D4×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×#117×C37C2211yescharacteristic
51C2×#117×C37C2211yescharacteristic
52C22×C4⋊C4×C37C2211yescharacteristic
53C22×C4⋊C4×C37C2211yescharacteristic
54C22×C4⋊C4×C37C2211yescharacteristic
55C22×C42×C37C2211yescharacteristic
56C37×#391C2211yescharacteristic
57C37×#391C2211yescharacteristic
58C37×#391C2211yescharacteristic
59C37×#391C2211yescharacteristic
60C37×#391C2211yescharacteristic
61C37×#391C2211yescharacteristic
62C37×#391C2211yescharacteristic
63C37×#391C2211yescharacteristic
64C37×#390C2211yescharacteristic
65C37×#390C2211yescharacteristic
66C37×#390C2211yescharacteristic
67C37×#390C2211yescharacteristic
68C37×#389C2211yescharacteristic
69C37×#389C2211yescharacteristic
70C37×#389C2211yescharacteristic
71C37×#389C2211yescharacteristic
72C37×#389C2211yescharacteristic
73C37×#389C2211yescharacteristic
74C37×#388C2211yescharacteristic
75C37×#388C2211yescharacteristic
76C37×#388C2211yescharacteristic
77C37×#388C2211yescharacteristic
78C37×#388C2211yescharacteristic
79C37×#388C2211yescharacteristic
80C37×#388C2211yescharacteristic
81C37×#388C2211yescharacteristic
82C37×#388C2211yescharacteristic
83C37×#388C2211yescharacteristic
84C37×#388C2211yescharacteristic
85C37×#388C2211yescharacteristic
86C37×#388C2211yescharacteristic
87C37×#388C2211yescharacteristic
88C37×#388C2211yescharacteristic
89C37×#388C2211yescharacteristic
90C37×#387C2211yescharacteristic
91C37×#387C2211yescharacteristic
92C37×#387C2211yescharacteristic
93C37×#387C2211yescharacteristic
94C37×#387C2211yescharacteristic
95C37×#387C2211yescharacteristic
96C37×#387C2211yescharacteristic
97C37×#387C2211yescharacteristic
98C37×#387C2211yescharacteristic
99C37×#387C2211yescharacteristic
100C37×#387C2211yescharacteristic
101C37×#387C2211yescharacteristic
102C37×#387C2211yescharacteristic
103C37×#387C2211yescharacteristic
104C37×#387C2211yescharacteristic
105C37×#387C2211yescharacteristic
106C37×#387C2211yescharacteristic
107C37×#387C2211yescharacteristic
108C37×#387C2211yescharacteristic
109C37×#387C2211yescharacteristic
110C37×#387C2211yescharacteristic
111C37×#387C2211yescharacteristic
112C37×#387C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#387C2211yescharacteristic
115C37×#387C2211yescharacteristic
116C37×#387C2211yescharacteristic
117C37×#387C2211yescharacteristic
118C37×#386C2211yescharacteristic
119C37×#386C2211yescharacteristic
120C37×#386C2211yescharacteristic
121C37×#386C2211yescharacteristic
122C37×#386C2211yescharacteristic
123C37×#386C2211yescharacteristic
124C37×#386C2211yescharacteristic
125C37×#386C2211yescharacteristic
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic
138C37×#385C2211yescharacteristic
139C37×#385C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#383C2211yescharacteristic
143C37×#383C2211yescharacteristic
144C37×#382C2211yescharacteristic
145C37×#381C2211yescharacteristic
146C37×#381C2211yescharacteristic
147C37×#381C2211yescharacteristic
148C37×#381C2211yescharacteristic
149C37×#381C2211yescharacteristic
150C37×#381C2211yescharacteristic
151C37×#380C2211yescharacteristic
152C37×#380C2211yescharacteristic
153C37×#380C2211yescharacteristic
154C37×#380C2211yescharacteristic
155C37×#380C2211yescharacteristic
156C37×#380C2211yescharacteristic
157C37×#380C2211yescharacteristic
158C37×#380C2211yescharacteristic
159C4×C4⋊C4×C37C2211yescharacteristic
160C4×C4⋊C4×C37C2211yescharacteristic
161C4×C4⋊C4×C37C2211yescharacteristic
162C4×C4⋊C4×C37C2211yescharacteristic
163C4×C4⋊C4×C37C2211yescharacteristic
164C4×C4⋊C4×C37C2211yescharacteristic
165C4×C22⋊C4×C37C2211yescharacteristic
166C4×C22⋊C4×C37C2211yescharacteristic
167C4×C22⋊C4×C37C2211yescharacteristic
168C4×C22⋊C4×C37C2211yescharacteristic
169C4×C22⋊C4×C37C2211yescharacteristic
170C4×C22⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C4×C22⋊C4×C37C2211yescharacteristic
181C37×#376C2211yescharacteristic
182C2×#95×C37C2211yescharacteristic
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C2×#95×C37C2211yescharacteristic
188C2×#41×C37—42no—
189C2×#41×C37—42no—
190C2×#41×C37—42no—
191C2×#41×C37—42no—
192C2×#41×C37C2×C418yescomplemented
193C2×#41×C37C2×C418yescomplemented
194C22×Q8×C37C2311yescharacteristic
195C22×Q8×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214C23×C4×C37C2311yescharacteristic
215C23×C4×C37C2311yescharacteristic
216C23×C4×C37C2311yescharacteristic
217C23×C4×C37C2311yescharacteristic
218C4⋊Q8×C37C2×C418yescomplemented
219#123×C37C2×C418yescomplemented
220#123×C37C2×C418yescomplemented
221#123×C37C2×C418yescomplemented
222#123×C37C2×C418yescomplemented
223C22⋊Q8×C37C2×C418yescomplemented
224C22⋊Q8×C37C2×C418yescomplemented
225#121×C37C2×C418yes—
226#121×C37C2×C418yescomplemented
227C4×D4×C37—42no—
228C4×D4×C37—42no—
229C4×D4×C37—42no—
230C4×D4×C37—42no—
231C4×D4×C37C2×C418yescomplemented
232C4×D4×C37C2×C418yescomplemented
233#117×C37—42no—
234#117×C37—42no—
235C2×C4⋊C4×C37—42no—
236C2×C4⋊C4×C37C2×C418yescomplemented
237C2×C4⋊C4×C37C2×C418yescomplemented
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C42×C37—42no—
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318#95×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369#95×C37C2311yescharacteristic
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374#41×C37—416no—
375#41×C37—416no—
376C2×Q8×C37—41no—
377C2×Q8×C37—41no—
378C2×Q8×C37—41no—
379C2×Q8×C37—41no—
380C2×Q8×C37C22×C414yes—
381C2×Q8×C37C22×C414yes—
382C2×D4×C37—22no—
383C2×D4×C37—22no—
384C2×D4×C37—22no—
385C2×D4×C37—22no—
386C2×D4×C37—22no—
387C2×D4×C37—22no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37—41no—
393C2×D4×C37—41no—
394C2×D4×C37C22×C414yes—
395C2×D4×C37C22×C414yes—
396C2×D4×C37C22×C414yes—
397C2×D4×C37C22×C414yes—
398C2×D4×C37C22×C414yes—
399C2×D4×C37C22×C414yes—
400C22×C4×C37—22no—
401C22×C4×C37—22no—
402C22×C4×C37—22no—
403C22×C4×C37—22no—
404C22×C4×C37—22no—
405C22×C4×C37—22no—
406C22×C4×C37—22no—
407C22×C4×C37—22no—
408C22×C4×C37—22no—
409C22×C4×C37—22no—
410C22×C4×C37—41no—
411C22×C4×C37—41no—
412C22×C4×C37—41no—
413C22×C4×C37—41no—
414C22×C4×C37—41no—
415C22×C4×C37—41no—
416C22×C4×C37—41no—
417C22×C4×C37—41no—
418C22×C4×C37—41no—
419C22×C4×C37—41no—
420C22×C4×C37—41no—
421C22×C4×C37—41no—
422C22×C4×C37—41no—
423C22×C4×C37—41no—
424C22×C4×C37—41no—
425C22×C4×C37—41no—
426C22×C4×C37—41no—
427C22×C4×C37—41no—
428C22×C4×C37—41no—
429C22×C4×C37—41no—
430C22×C4×C37—41no—
431C22×C4×C37—41no—
432C22×C4×C37—41no—
433C22×C4×C37—41no—
434C22×C4×C37—41no—
435C22×C4×C37—41no—
436C22×C4×C37—41no—
437C22×C4×C37—41no—
438C22×C4×C37—41no—
439C22×C4×C37—41no—
440C22×C4×C37C22×C414yes—
441C22×C4×C37C22×C414yes—
442C22×C4×C37C22×C414yes—
443C22×C4×C37C22×C414yes—
444C22×C4×C37C22×C414yes—
445C22×C4×C37C22×C414yes—
446C22×C4×C37C22×C414yes—
447C22×C4×C37C22×C414yes—
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C22×C4×C37C2411yescharacteristic
460C22×C4×C37C2411yescharacteristic
461C22×C4×C37C2411yescharacteristic
462C22×C4×C37C2411yescharacteristic
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
465C22×C4×C37C2411yescharacteristic
466C22×C4×C37C2411yescharacteristic
467C22×C4×C37C2411yescharacteristic
468C22×C4×C37C2411yescharacteristic
469C22×C4×C37C2411yescharacteristic
470C22×C4×C37C2411yescharacteristic
471C22×C4×C37C2411yescharacteristic
472C22×C4×C37C2411yescharacteristic
473C22×C4×C37C2411yescharacteristic
474C22×C4×C37C2411yescharacteristic
475C4⋊C4×C37—41no—
476C4⋊C4×C37—41no—
477C4⋊C4×C37—41no—
478C4⋊C4×C37—41no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37—41no—
483C4⋊C4×C37—41no—
484C4⋊C4×C37—41no—
485C4⋊C4×C37—41no—
486C4⋊C4×C37—41no—
487C4⋊C4×C37—41no—
488C4⋊C4×C37—41no—
489C4⋊C4×C37—41no—
490C4⋊C4×C37—41no—
491C4⋊C4×C37—41no—
492C4⋊C4×C37—41no—
493C4⋊C4×C37C22×C414yes—
494C4⋊C4×C37C22×C414yes—
495C4⋊C4×C37C22×C414yes—
496C4⋊C4×C37C22×C414yes—
497C4⋊C4×C37C22×C414yes—
498C4⋊C4×C37C22×C414yes—
499C4⋊C4×C37C22×C414yes—
500C4⋊C4×C37C22×C414yes—
501C4⋊C4×C37C22×C414yes—
502C4⋊C4×C37C22×C414yes—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
507C22⋊C4×C37—22no—
508C22⋊C4×C37—22no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C22⋊C4×C37—41no—
522C22⋊C4×C37—41no—
523C22⋊C4×C37—41no—
524C22⋊C4×C37—41no—
525C22⋊C4×C37—41no—
526C22⋊C4×C37—41no—
527C22⋊C4×C37C22×C414yes—
528C22⋊C4×C37C22×C414yes—
529C22⋊C4×C37C22×C414yes—
530C22⋊C4×C37C22×C414yes—
531C22⋊C4×C37C22×C414yes—
532C22⋊C4×C37C22×C414yes—
533C22⋊C4×C37C22×C414yes—
534C22⋊C4×C37C22×C414yes—
535C42×C37—22no—
536C42×C37—41no—
537C42×C37—41no—
538C42×C37—41no—
539C42×C37—41no—
540C42×C37—41no—
541C42×C37—41no—
542C42×C37—41no—
543C42×C37—41no—
544C42×C37—41no—
545C42×C37—41no—
546C42×C37—41no—
547C42×C37—41no—
548C42×C37—41no—
549C42×C37—41no—
550C42×C37—41no—
551C42×C37—41no—
552C42×C37—41no—
553C42×C37C22×C414yes—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—21no—
567C23×C37—21no—
568C23×C37—21no—
569C23×C37—21no—
570C23×C37—21no—
571C23×C37—21no—
572C23×C37—21no—
573C23×C37—21no—
574C23×C37—21no—
575C23×C37—21no—
576C23×C37C23×C412yes—
577C23×C37C23×C412yes—
578C23×C37C23×C412yes—
579C23×C37C23×C412yes—
580C23×C37H(5,𝔽2)12yes—
581C23×C37H(5,𝔽2)12yes—
582C23×C37C2511yescharacteristic
583Q8×C37—44no—
584Q8×C37—44no—
585D4×C37—28no—
586D4×C37—28no—
587D4×C37—28no—
588D4×C37—44no—
589D4×C37—44no—
590D4×C37—44no—
591C2×C4×C37—28no—
592C2×C4×C37—28no—
593C2×C4×C37—21no—
594C2×C4×C37—21no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—21no—
643C2×C4×C37—21no—
644C2×C4×C37—21no—
645C2×C4×C37—21no—
646C2×C4×C37—21no—
647C2×C4×C37—21no—
648C2×C4×C37—21no—
649C2×C4×C37—21no—
650C2×C4×C37—21no—
651C2×C4×C37—21no—
652C2×C4×C37—21no—
653C2×C4×C37—21no—
654C2×C4×C37—21no—
655C2×C4×C37—21no—
656C2×C4×C37—21no—
657C2×C4×C37—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—44no—
663C2×C4×C37—44no—
664C2×C4×C37—44no—
665C2×C4×C37—44no—
666C2×C4×C37—44no—
667C2×C4×C37—44no—
668C2×C4×C37—44no—
669C2×C4×C37—44no—
670C2×C4×C37—82no—
671C2×C4×C37—82no—
672C2×C4×C37—82no—
673C2×C4×C37—82no—
674C2×C4×C37—82no—
675C2×C4×C37—82no—
676C2×C4×C37C23×C412yes—
677C2×C4×C37C23×C412yes—
678C2×C4×C37C23×C412yes—
679C2×C4×C37C23×C412yes—
680C2×C4×C37C23×C412yes—
681C2×C4×C37C23×C412yes—
682C2×C4×C37C23×C412yes—
683C2×C4×C37C23×C412yes—
684C2×C4×C37C23×C412yes—
685C2×C4×C37C23×C412yes—
686C2×C4×C37C23×C412yes—
687C2×C4×C372−1+412yes—
688#34469C3711yesmaximal, characteristic, direct product factor, Sylow
689C22×C37—22no—
690C22×C37—22no—
691C22×C37—22no—
692C22×C37—22no—
693C22×C37—22no—
694C22×C37—22no—
695C22×C37—22no—
696C22×C37—22no—
697C22×C37—22no—
698C22×C37—22no—
699C22×C37—22no—
700C22×C37—22no—
701C22×C37—22no—
702C22×C37—22no—
703C22×C37—22no—
704C22×C37—41no—
705C22×C37—41no—
706C22×C37—41no—
707C22×C37—41no—
708C22×C37—41no—
709C22×C37—41no—
710C22×C37—41no—
711C22×C37—41no—
712C22×C37—41no—
713C22×C37—41no—
714C22×C37—41no—
715C22×C37—41no—
716C22×C37#51814yes—
717C22×C37C24×C411yescharacteristic
718C22×C37C2×H(5,𝔽2)11yescharacteristic
719C22×C37C2×H(5,𝔽2)11yescharacteristic
720C22×C37C2×2−1+411yescharacteristic
721C22×C37#58511yescharacteristic
722C22×C37#58511yescharacteristic
723C22×C37#58511yescharacteristic
724C4×C37—22no—
725C4×C37—22no—
726C4×C37—22no—
727C4×C37—22no—
728C4×C37—22no—
729C4×C37—22no—
730C4×C37—22no—
731C4×C37—22no—
732C4×C37—22no—
733C4×C37—22no—
734C4×C37—22no—
735C4×C37—22no—
736C4×C37—41no—
737C4×C37—41no—
738C4×C37—41no—
739C4×C37—41no—
740C4×C37—41no—
741C4×C37—41no—
742C4×C37—41no—
743C4×C37—41no—
744C4×C37—41no—
745C4×C37—41no—
746C4×C37—41no—
747C4×C37—41no—
748C4×C37—41no—
749C4×C37—41no—
750C4×C37—41no—
751C2×#547C2×C3711yescharacteristic
752#2381C2×C3711yescharacteristic, complemented
753#2378C2×C3711yescharacteristic, complemented
754#2377C2×C3711yescharacteristic, complemented
755#2376C2×C3711yescharacteristic, complemented
756#2374C2×C3711yescharacteristic, complemented
757#2368C2×C3711yescharacteristic, complemented
758#2364C2×C3711yescharacteristic, complemented
759#2359C2×C3711yescharacteristic, complemented
760#2359C2×C3711yescharacteristic, complemented
761#2353C2×C3711yescharacteristic, complemented
762#2353C2×C3711yescharacteristic, complemented
763#2345C2×C3711yescharacteristic, complemented
764#2344C2×C3711yescharacteristic, complemented
765#2339C2×C3711yescharacteristic, complemented
766#2339C2×C3711yescharacteristic, complemented
767#2335C2×C3711yescharacteristic, complemented
768#2335C2×C3711yescharacteristic, complemented
769#2333C2×C3711yescharacteristic, complemented
770#2332C2×C3711yescharacteristic, complemented
771#2331C2×C3711yescharacteristic, complemented
772#2329C2×C3711yescharacteristic, complemented
773#2325C2×C3711yescharacteristic, complemented
774#2322C2×C3711yescharacteristic, complemented
775#2318C2×C3711yescharacteristic, complemented
776#2318C2×C3711yescharacteristic, complemented
777#2313C2×C3711yescharacteristic, complemented
778#2311C2×C3711yescharacteristic, complemented
779C4×#123C2×C3711yescharacteristic, complemented
780#2297C2×C3711yescharacteristic, complemented
781C2×#387C2×C3711yescharacteristic, complemented
782C2×C37—24no—
783C2×C37—42no—
784C2×C37—42no—
785C2×C37—42no—
786C2×C37C2×#51811yescharacteristic
787C2×C37#342811yescharacteristic
788C2×C37C4×2−1+411yescharacteristic
789C2×C37#353311yescharacteristic
790C2×C37#353511yescharacteristic
791C2×C37#355911yescharacteristic
792C2×C37#356011yescharacteristic
793C22×#41C22×C3711yescharacteristic
794C22×#41C22×C3711yescharacteristic
795#547C4×C37116yescomplemented
796C2×C4⋊Q8C22×C3711yescharacteristic
797C2×#123C22×C3711yescharacteristic
798C2×#123C22×C3711yescharacteristic
799C2×#123C22×C3711yescharacteristic
800C2×#123C22×C3711yescharacteristic
801C2×C22⋊Q8C22×C3711yescharacteristic
802C2×C22⋊Q8C22×C3711yescharacteristic
803C2×#121C22×C3711yescharacteristic
804C2×#121C22×C3711yescharacteristic
805C2×C4×D4C22×C3711yescharacteristic
806C2×C4×D4C22×C3711yescharacteristic
807C2×C4×D4C22×C3711yescharacteristic
808C2×C4×D4C22×C3711yescharacteristic
809C2×C4×D4C22×C3711yescharacteristic
810C2×C4×D4C22×C3711yescharacteristic
811C2×#117C22×C3711yescharacteristic
812C2×#117C22×C3711yescharacteristic
813C22×C4⋊C4C22×C3711yescharacteristic
814C22×C4⋊C4C22×C3711yescharacteristic
815C22×C4⋊C4C22×C3711yescharacteristic
816C22×C42C22×C3711yescharacteristic
817#391C22×C3711yescharacteristic
818#391C22×C3711yescharacteristic
819#391C22×C3711yescharacteristic
820#391C22×C3711yescharacteristic
821#391C22×C3711yescharacteristic
822#391C22×C3711yescharacteristic
823#391C22×C3711yescharacteristic
824#391C22×C3711yescharacteristic
825#390C22×C3711yescharacteristic
826#390C22×C3711yescharacteristic
827#390C22×C3711yescharacteristic
828#390C22×C3711yescharacteristic
829#389C22×C3711yescharacteristic
830#389C22×C3711yescharacteristic
831#389C22×C3711yescharacteristic
832#389C22×C3711yescharacteristic
833#389C22×C3711yescharacteristic
834#389C22×C3711yescharacteristic
835#388C22×C3711yescharacteristic
836#388C22×C3711yescharacteristic
837#388C22×C3711yescharacteristic
838#388C22×C3711yescharacteristic
839#388C22×C3711yescharacteristic
840#388C22×C3711yescharacteristic
841#388C22×C3711yescharacteristic
842#388C22×C3711yescharacteristic
843#388C22×C3711yescharacteristic
844#388C22×C3711yescharacteristic
845#388C22×C3711yescharacteristic
846#388C22×C3711yescharacteristic
847#388C22×C3711yescharacteristic
848#388C22×C3711yescharacteristic
849#388C22×C3711yescharacteristic
850#388C22×C3711yescharacteristic
851#387C22×C3711yescharacteristic
852#387C22×C3711yescharacteristic
853#387C22×C3711yescharacteristic
854#387C22×C3711yescharacteristic
855#387C22×C3711yescharacteristic
856#387C22×C3711yescharacteristic
857#387C22×C3711yescharacteristic
858#387C22×C3711yescharacteristic
859#387C22×C3711yescharacteristic
860#387C22×C3711yescharacteristic
861#387C22×C3711yescharacteristic
862#387C22×C3711yescharacteristic
863#387C22×C3711yescharacteristic
864#387C22×C3711yescharacteristic
865#387C22×C3711yescharacteristic
866#387C22×C3711yescharacteristic
867#387C22×C3711yescharacteristic
868#387C22×C3711yescharacteristic
869#387C22×C3711yescharacteristic
870#387C22×C3711yescharacteristic
871#387C22×C3711yescharacteristic
872#387C22×C3711yescharacteristic
873#387C22×C3711yescharacteristic
874#387C22×C3711yescharacteristic
875#387C22×C3711yescharacteristic
876#387C22×C3711yescharacteristic
877#387C22×C3711yescharacteristic
878#387C22×C3711yescharacteristic
879#386C22×C3711yescharacteristic
880#386C22×C3711yescharacteristic
881#386C22×C3711yescharacteristic
882#386C22×C3711yescharacteristic
883#386C22×C3711yescharacteristic
884#386C22×C3711yescharacteristic
885#386C22×C3711yescharacteristic
886#386C22×C3711yescharacteristic
887#386C22×C3711yescharacteristic
888#386C22×C3711yescharacteristic
889#386C22×C3711yescharacteristic
890#386C22×C3711yescharacteristic
891#386C22×C3711yescharacteristic
892#386C22×C3711yescharacteristic
893#386C22×C3711yescharacteristic
894#386C22×C3711yescharacteristic
895#385C22×C3711yescharacteristic
896#385C22×C3711yescharacteristic
897#385C22×C3711yescharacteristic
898#385C22×C3711yescharacteristic
899#385C22×C3711yescharacteristic
900#385C22×C3711yescharacteristic
901#385C22×C3711yescharacteristic
902#385C22×C3711yescharacteristic
903#383C22×C3711yescharacteristic
904#383C22×C3711yescharacteristic
905#382C22×C3711yescharacteristic
906#381C22×C3711yescharacteristic
907#381C22×C3711yescharacteristic
908#381C22×C3711yescharacteristic
909#381C22×C3711yescharacteristic
910#381C22×C3711yescharacteristic
911#381C22×C3711yescharacteristic
912#380C22×C3711yescharacteristic
913#380C22×C3711yescharacteristic
914#380C22×C3711yescharacteristic
915#380C22×C3711yescharacteristic
916#380C22×C3711yescharacteristic
917#380C22×C3711yescharacteristic
918#380C22×C3711yescharacteristic
919#380C22×C3711yescharacteristic
920C4×C4⋊C4C22×C3711yescharacteristic
921C4×C4⋊C4C22×C3711yescharacteristic
922C4×C4⋊C4C22×C3711yescharacteristic
923C4×C4⋊C4C22×C3711yescharacteristic
924C4×C4⋊C4C22×C3711yescharacteristic
925C4×C4⋊C4C22×C3711yescharacteristic
926C4×C22⋊C4C22×C3711yescharacteristic
927C4×C22⋊C4C22×C3711yescharacteristic
928C4×C22⋊C4C22×C3711yescharacteristic
929C4×C22⋊C4C22×C3711yescharacteristic
930C4×C22⋊C4C22×C3711yescharacteristic
931C4×C22⋊C4C22×C3711yescharacteristic
932C4×C22⋊C4C22×C3711yescharacteristic
933C4×C22⋊C4C22×C3711yescharacteristic
934C4×C22⋊C4C22×C3711yescharacteristic
935C4×C22⋊C4C22×C3711yescharacteristic
936C4×C22⋊C4C22×C3711yescharacteristic
937C4×C22⋊C4C22×C3711yescharacteristic
938C4×C22⋊C4C22×C3711yescharacteristic
939C4×C22⋊C4C22×C3711yescharacteristic
940C4×C22⋊C4C22×C3711yescharacteristic
941C4×C22⋊C4C22×C3711yescharacteristic
942#376C22×C3711yescharacteristic
943C2×#95C22×C3711yescharacteristic
944C2×#95C22×C3711yescharacteristic
945C2×#95C22×C3711yescharacteristic
946C2×#95C22×C3711yescharacteristic
947C2×#95C22×C3711yescharacteristic
948C2×#95C22×C3711yescharacteristic
949C37#3446911yescharacteristic, direct product factor, Sylow
950C2×#41—42no—
951C2×#41—42no—
952C2×#41—42no—
953C2×#41—42no—
954C2×#41C2×C4×C3718yescomplemented
955C2×#41C2×C4×C3718yescomplemented
956C22×Q8C23×C3711yescharacteristic
957C22×Q8C23×C3711yescharacteristic
958C22×D4C23×C3711yescharacteristic
959C22×D4C23×C3711yescharacteristic
960C22×D4C23×C3711yescharacteristic
961C22×D4C23×C3711yescharacteristic
962C22×D4C23×C3711yescharacteristic
963C22×D4C23×C3711yescharacteristic
964C23×C4C23×C3711yescharacteristic
965C23×C4C23×C3711yescharacteristic
966C23×C4C23×C3711yescharacteristic
967C23×C4C23×C3711yescharacteristic
968C23×C4C23×C3711yescharacteristic
969C23×C4C23×C3711yescharacteristic
970C23×C4C23×C3711yescharacteristic
971C23×C4C23×C3711yescharacteristic
972C23×C4C23×C3711yescharacteristic
973C23×C4C23×C3711yescharacteristic
974C23×C4C23×C3711yescharacteristic
975C23×C4C23×C3711yescharacteristic
976C23×C4C23×C3711yescharacteristic
977C23×C4C23×C3711yescharacteristic
978C23×C4C23×C3711yescharacteristic
979C23×C4C23×C3711yescharacteristic
980C4⋊Q8C2×C4×C3718yescomplemented
981#123C2×C4×C3718yescomplemented
982#123C2×C4×C3718yescomplemented
983#123C2×C4×C3718yescomplemented
984#123C2×C4×C3718yescomplemented
985C22⋊Q8C2×C4×C3718yescomplemented
986C22⋊Q8C2×C4×C3718yescomplemented
987#121C2×C4×C3718yes—
988#121C2×C4×C3718yescomplemented
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—42no—
993C4×D4C2×C4×C3718yescomplemented
994C4×D4C2×C4×C3718yescomplemented
995#117—42no—
996#117—42no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4C2×C4×C3718yescomplemented
999C2×C4⋊C4C2×C4×C3718yescomplemented
1000C2×C4⋊C4C23×C3711yescharacteristic
1001C2×C4⋊C4C23×C3711yescharacteristic
1002C2×C4⋊C4C23×C3711yescharacteristic
1003C2×C4⋊C4C23×C3711yescharacteristic
1004C2×C4⋊C4C23×C3711yescharacteristic
1005C2×C4⋊C4C23×C3711yescharacteristic
1006C2×C4⋊C4C23×C3711yescharacteristic
1007C2×C4⋊C4C23×C3711yescharacteristic
1008C2×C4⋊C4C23×C3711yescharacteristic
1009C2×C4⋊C4C23×C3711yescharacteristic
1010C2×C4⋊C4C23×C3711yescharacteristic
1011C2×C4⋊C4C23×C3711yescharacteristic
1012C2×C4⋊C4C23×C3711yescharacteristic
1013C2×C4⋊C4C23×C3711yescharacteristic
1014C2×C4⋊C4C23×C3711yescharacteristic
1015C2×C4⋊C4C23×C3711yescharacteristic
1016C2×C4⋊C4C23×C3711yescharacteristic
1017C2×C4⋊C4C23×C3711yescharacteristic
1018C2×C4⋊C4C23×C3711yescharacteristic
1019C2×C4⋊C4C23×C3711yescharacteristic
1020C2×C4⋊C4C23×C3711yescharacteristic
1021C2×C4⋊C4C23×C3711yescharacteristic
1022C2×C4⋊C4C23×C3711yescharacteristic
1023C2×C4⋊C4C23×C3711yescharacteristic
1024C2×C4⋊C4C23×C3711yescharacteristic
1025C2×C4⋊C4C23×C3711yescharacteristic
1026C2×C4⋊C4C23×C3711yescharacteristic
1027C2×C4⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C22⋊C4C23×C3711yescharacteristic
1032C2×C22⋊C4C23×C3711yescharacteristic
1033C2×C22⋊C4C23×C3711yescharacteristic
1034C2×C22⋊C4C23×C3711yescharacteristic
1035C2×C22⋊C4C23×C3711yescharacteristic
1036C2×C22⋊C4C23×C3711yescharacteristic
1037C2×C22⋊C4C23×C3711yescharacteristic
1038C2×C22⋊C4C23×C3711yescharacteristic
1039C2×C22⋊C4C23×C3711yescharacteristic
1040C2×C22⋊C4C23×C3711yescharacteristic
1041C2×C22⋊C4C23×C3711yescharacteristic
1042C2×C22⋊C4C23×C3711yescharacteristic
1043C2×C22⋊C4C23×C3711yescharacteristic
1044C2×C22⋊C4C23×C3711yescharacteristic
1045C2×C22⋊C4C23×C3711yescharacteristic
1046C2×C22⋊C4C23×C3711yescharacteristic
1047C2×C22⋊C4C23×C3711yescharacteristic
1048C2×C22⋊C4C23×C3711yescharacteristic
1049C2×C22⋊C4C23×C3711yescharacteristic
1050C2×C22⋊C4C23×C3711yescharacteristic
1051C2×C22⋊C4C23×C3711yescharacteristic
1052C2×C22⋊C4C23×C3711yescharacteristic
1053C2×C22⋊C4C23×C3711yescharacteristic
1054C2×C22⋊C4C23×C3711yescharacteristic
1055C2×C22⋊C4C23×C3711yescharacteristic
1056C2×C22⋊C4C23×C3711yescharacteristic
1057C2×C22⋊C4C23×C3711yescharacteristic
1058C2×C22⋊C4C23×C3711yescharacteristic
1059C2×C22⋊C4C23×C3711yescharacteristic
1060C2×C42—42no—
1061C2×C42C23×C3711yescharacteristic
1062C2×C42C23×C3711yescharacteristic
1063C2×C42C23×C3711yescharacteristic
1064C2×C42C23×C3711yescharacteristic
1065C2×C42C23×C3711yescharacteristic
1066C2×C42C23×C3711yescharacteristic
1067C2×C42C23×C3711yescharacteristic
1068C2×C42C23×C3711yescharacteristic
1069C2×C42C23×C3711yescharacteristic
1070C2×C42C23×C3711yescharacteristic
1071C2×C42C23×C3711yescharacteristic
1072C2×C42C23×C3711yescharacteristic
1073C2×C42C23×C3711yescharacteristic
1074C2×C42C23×C3711yescharacteristic
1075C2×C42C23×C3711yescharacteristic
1076C2×C42C23×C3711yescharacteristic
1077C2×C42C23×C3711yescharacteristic
1078C2×C42C23×C3711yescharacteristic
1079C2×C42C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102#95C23×C3711yescharacteristic
1103#95C23×C3711yescharacteristic
1104#95C23×C3711yescharacteristic
1105#95C23×C3711yescharacteristic
1106#95C23×C3711yescharacteristic
1107#95C23×C3711yescharacteristic
1108#95C23×C3711yescharacteristic
1109#95C23×C3711yescharacteristic
1110#95C23×C3711yescharacteristic
1111#95C23×C3711yescharacteristic
1112#95C23×C3711yescharacteristic
1113#95C23×C3711yescharacteristic
1114#95C23×C3711yescharacteristic
1115#95C23×C3711yescharacteristic
1116#95C23×C3711yescharacteristic
1117#95C23×C3711yescharacteristic
1118#95C23×C3711yescharacteristic
1119#95C23×C3711yescharacteristic
1120#95C23×C3711yescharacteristic
1121#95C23×C3711yescharacteristic
1122#95C23×C3711yescharacteristic
1123#95C23×C3711yescharacteristic
1124#95C23×C3711yescharacteristic
1125#95C23×C3711yescharacteristic
1126#95C23×C3711yescharacteristic
1127#95C23×C3711yescharacteristic
1128#95C23×C3711yescharacteristic
1129#95C23×C3711yescharacteristic
1130#95C23×C3711yescharacteristic
1131#95C23×C3711yescharacteristic
1132C24C24×C3711yescharacteristic
1133C24C24×C3711yescharacteristic
1134C24C24×C3711yescharacteristic
1135C24C24×C3711yescharacteristic
1136#41—416no—
1137#41—416no—
1138C2×Q8—41no—
1139C2×Q8—41no—
1140C2×Q8—41no—
1141C2×Q8—41no—
1142C2×Q8C22×C4×C3714yes—
1143C2×Q8C22×C4×C3714yes—
1144C2×D4—22no—
1145C2×D4—22no—
1146C2×D4—22no—
1147C2×D4—22no—
1148C2×D4—22no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4C22×C4×C3714yes—
1157C2×D4C22×C4×C3714yes—
1158C2×D4C22×C4×C3714yes—
1159C2×D4C22×C4×C3714yes—
1160C2×D4C22×C4×C3714yes—
1161C2×D4C22×C4×C3714yes—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—22no—
1166C22×C4—22no—
1167C22×C4—22no—
1168C22×C4—22no—
1169C22×C4—22no—
1170C22×C4—22no—
1171C22×C4—22no—
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×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4C22×C4×C3714yes—
1203C22×C4C22×C4×C3714yes—
1204C22×C4C22×C4×C3714yes—
1205C22×C4C22×C4×C3714yes—
1206C22×C4C22×C4×C3714yes—
1207C22×C4C22×C4×C3714yes—
1208C22×C4C22×C4×C3714yes—
1209C22×C4C22×C4×C3714yes—
1210C22×C4C24×C3711yescharacteristic
1211C22×C4C24×C3711yescharacteristic
1212C22×C4C24×C3711yescharacteristic
1213C22×C4C24×C3711yescharacteristic
1214C22×C4C24×C3711yescharacteristic
1215C22×C4C24×C3711yescharacteristic
1216C22×C4C24×C3711yescharacteristic
1217C22×C4C24×C3711yescharacteristic
1218C22×C4C24×C3711yescharacteristic
1219C22×C4C24×C3711yescharacteristic
1220C22×C4C24×C3711yescharacteristic
1221C22×C4C24×C3711yescharacteristic
1222C22×C4C24×C3711yescharacteristic
1223C22×C4C24×C3711yescharacteristic
1224C22×C4C24×C3711yescharacteristic
1225C22×C4C24×C3711yescharacteristic
1226C22×C4C24×C3711yescharacteristic
1227C22×C4C24×C3711yescharacteristic
1228C22×C4C24×C3711yescharacteristic
1229C22×C4C24×C3711yescharacteristic
1230C22×C4C24×C3711yescharacteristic
1231C22×C4C24×C3711yescharacteristic
1232C22×C4C24×C3711yescharacteristic
1233C22×C4C24×C3711yescharacteristic
1234C22×C4C24×C3711yescharacteristic
1235C22×C4C24×C3711yescharacteristic
1236C22×C4C24×C3711yescharacteristic
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⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4C22×C4×C3714yes—
1256C4⋊C4C22×C4×C3714yes—
1257C4⋊C4C22×C4×C3714yes—
1258C4⋊C4C22×C4×C3714yes—
1259C4⋊C4C22×C4×C3714yes—
1260C4⋊C4C22×C4×C3714yes—
1261C4⋊C4C22×C4×C3714yes—
1262C4⋊C4C22×C4×C3714yes—
1263C4⋊C4C22×C4×C3714yes—
1264C4⋊C4C22×C4×C3714yes—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4C22×C4×C3714yes—
1290C22⋊C4C22×C4×C3714yes—
1291C22⋊C4C22×C4×C3714yes—
1292C22⋊C4C22×C4×C3714yes—
1293C22⋊C4C22×C4×C3714yes—
1294C22⋊C4C22×C4×C3714yes—
1295C22⋊C4C22×C4×C3714yes—
1296C22⋊C4C22×C4×C3714yes—
1297C42—22no—
1298C42—41no—
1299C42—41no—
1300C42—41no—
1301C42—41no—
1302C42—41no—
1303C42—41no—
1304C42—41no—
1305C42—41no—
1306C42—41no—
1307C42—41no—
1308C42—41no—
1309C42—41no—
1310C42—41no—
1311C42—41no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42C22×C4×C3714yes—
1316C23—21no—
1317C23—21no—
1318C23—21no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23C23×C4×C3712yes—
1339C23C23×C4×C3712yes—
1340C23C23×C4×C3712yes—
1341C23C23×C4×C3712yes—
1342C23H(5,𝔽2)×C3712yes—
1343C23H(5,𝔽2)×C3712yes—
1344C23C25×C3711yescharacteristic
1345Q8—44no—
1346Q8—44no—
1347D4—28no—
1348D4—28no—
1349D4—28no—
1350D4—44no—
1351D4—44no—
1352D4—44no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—28no—
1378C2×C4—28no—
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—21no—
1424C2×C4—44no—
1425C2×C4—44no—
1426C2×C4—44no—
1427C2×C4—44no—
1428C2×C4—44no—
1429C2×C4—44no—
1430C2×C4—44no—
1431C2×C4—44no—
1432C2×C4—82no—
1433C2×C4—82no—
1434C2×C4—82no—
1435C2×C4—82no—
1436C2×C4—82no—
1437C2×C4—82no—
1438C2×C4C23×C4×C3712yes—
1439C2×C4C23×C4×C3712yes—
1440C2×C4C23×C4×C3712yes—
1441C2×C4C23×C4×C3712yes—
1442C2×C4C23×C4×C3712yes—
1443C2×C4C23×C4×C3712yes—
1444C2×C4C23×C4×C3712yes—
1445C2×C4C23×C4×C3712yes—
1446C2×C4C23×C4×C3712yes—
1447C2×C4C23×C4×C3712yes—
1448C2×C4C23×C4×C3712yes—
1449C2×C42−1+4×C3712yes—
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—22no—
1463C22—22no—
1464C22—22no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22C37×#51814yes—
1478C22C24×C4×C3711yescharacteristic
1479C22C2×H(5,𝔽2)×C3711yescharacteristic
1480C22C2×H(5,𝔽2)×C3711yescharacteristic
1481C22C2×2−1+4×C3711yescharacteristic
1482C22C37×#58511yescharacteristic
1483C22C37×#58511yescharacteristic
1484C22C37×#58511yescharacteristic
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—22no—
1489C4—22no—
1490C4—22no—
1491C4—22no—
1492C4—22no—
1493C4—22no—
1494C4—22no—
1495C4—22no—
1496C4—22no—
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—
1510C4—41no—
1511C4—41no—
1512C2—24no—
1513C2—42no—
1514C2—42no—
1515C2—42no—
1516C2C2×C37×#51811yescharacteristic
1517C2C37×#342811yescharacteristic
1518C2C4×2−1+4×C3711yescharacteristic
1519C2C37×#353311yescharacteristic
1520C2C37×#353511yescharacteristic
1521C2C37×#355911yescharacteristic
1522C2C37×#356011yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×C37×#547C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2381C2semidirect
3. C37×#2378C2semidirect
4. C37×#2377C2semidirect
5. C37×#2376C2semidirect
6. C37×#2374C2semidirect
7. C37×#2368C2semidirect
8. C37×#2364C2semidirect
9. C37×#2359C2semidirect
10. C37×#2359C2semidirect
11. C37×#2353C2semidirect
12. C37×#2353C2semidirect
13. C37×#2345C2semidirect
14. C37×#2344C2semidirect
15. C37×#2339C2semidirect
16. C37×#2339C2semidirect
17. C37×#2335C2semidirect
18. C37×#2335C2semidirect
19. C37×#2333C2semidirect
20. C37×#2332C2semidirect
21. C37×#2331C2semidirect
22. C37×#2329C2semidirect
23. C37×#2325C2semidirect
24. C37×#2322C2semidirect
25. C37×#2318C2semidirect
26. C37×#2318C2semidirect
27. C37×#2313C2semidirect
28. C37×#2311C2semidirect
29. C4×#123×C37C2semidirect
30. C37×#2297C2semidirect
31. C2×C37×#387C2semidirect
34. C37×#547C4semidirect
192. C2×#41×C37C2×C4semidirect
193. C2×#41×C37C2×C4semidirect
218. C4⋊Q8×C37C2×C4semidirect
219. #123×C37C2×C4semidirect
220. #123×C37C2×C4semidirect
221. #123×C37C2×C4semidirect
222. #123×C37C2×C4semidirect
223. C22⋊Q8×C37C2×C4semidirect
224. C22⋊Q8×C37C2×C4semidirect
226. #121×C37C2×C4semidirect
231. C4×D4×C37C2×C4semidirect
232. C4×D4×C37C2×C4semidirect
236. C2×C4⋊C4×C37C2×C4semidirect
237. C2×C4⋊C4×C37C2×C4semidirect
688. #34469C37direct (N × H)
752. #2381C2×C37semidirect
753. #2378C2×C37semidirect
754. #2377C2×C37semidirect
755. #2376C2×C37semidirect
756. #2374C2×C37semidirect
757. #2368C2×C37semidirect
758. #2364C2×C37semidirect
759. #2359C2×C37semidirect
760. #2359C2×C37semidirect
761. #2353C2×C37semidirect
762. #2353C2×C37semidirect
763. #2345C2×C37semidirect
764. #2344C2×C37semidirect
765. #2339C2×C37semidirect
766. #2339C2×C37semidirect
767. #2335C2×C37semidirect
768. #2335C2×C37semidirect
769. #2333C2×C37semidirect
770. #2332C2×C37semidirect
771. #2331C2×C37semidirect
772. #2329C2×C37semidirect
773. #2325C2×C37semidirect
774. #2322C2×C37semidirect
775. #2318C2×C37semidirect
776. #2318C2×C37semidirect
777. #2313C2×C37semidirect
778. #2311C2×C37semidirect
779. C4×#123C2×C37semidirect
780. #2297C2×C37semidirect
781. C2×#387C2×C37semidirect
795. #547C4×C37semidirect
949. C37#34469direct (N × H)
954. C2×#41C2×C4×C37semidirect
955. C2×#41C2×C4×C37semidirect
980. C4⋊Q8C2×C4×C37semidirect
981. #123C2×C4×C37semidirect
982. #123C2×C4×C37semidirect
983. #123C2×C4×C37semidirect
984. #123C2×C4×C37semidirect
985. C22⋊Q8C2×C4×C37semidirect
986. C22⋊Q8C2×C4×C37semidirect
988. #121C2×C4×C37semidirect
993. C4×D4C2×C4×C37semidirect
994. C4×D4C2×C4×C37semidirect
998. C2×C4⋊C4C2×C4×C37semidirect
999. C2×C4⋊C4C2×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5472
C37×#23812
C37×#23782
C37×#23772
C37×#23762
C37×#23742
C37×#23682
C37×#23642
C37×#23592
C37×#23532
C37×#23452
C37×#23442
C37×#23392
C37×#23352
C37×#23332
C37×#23322
C37×#23312
C37×#23292
C37×#23252
C37×#23222
C37×#23182
C37×#23132
C37×#23112
C4×#123×C372
C37×#22972
C2×C37×#3872
#3446937