Finite Group Databasebeta

← C37×#35096 #22656349

Subgroups — C37×#35096 #22656349

Order 9472.

2342 conjugacy classes of subgroups.

The subgroup lattice has 1536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#539C211yesmaximal, characteristic, complemented
2C2×C4×#41×C37C211yesmaximal, characteristic, complemented
3C37×#2855C211yesmaximal, characteristic, complemented
4C37×#2853C211yesmaximal, characteristic, complemented
5C37×#2852C211yesmaximal, characteristic, complemented
6C37×#2851C211yesmaximal, characteristic, complemented
7C37×#2638C211yesmaximal, characteristic, complemented
8C37×#2637C211yesmaximal, characteristic, complemented
9C37×#2634C211yesmaximal, characteristic, complemented
10C37×#2630C211yesmaximal, characteristic, complemented
11C37×#2478C211yesmaximal, characteristic, complemented
12C37×#2477C211yesmaximal, characteristic, complemented
13C37×#2475C211yesmaximal, characteristic, complemented
14C37×#2470C211yesmaximal, characteristic, complemented
15C37×#2468C211yesmaximal, characteristic, complemented
16C37×#2465C211yesmaximal, characteristic, complemented
17C37×#2462C211yesmaximal, characteristic, complemented
18C37×#2457C211yesmaximal, characteristic, complemented
19C37×#2450C211yesmaximal, characteristic, complemented
20C37×#2444C211yesmaximal, characteristic, complemented
21C37×#2438C211yesmaximal, characteristic, complemented
22C37×#2430C211yesmaximal, characteristic
23C37×#2425C211yesmaximal, characteristic, complemented
24C37×#2419C211yesmaximal, characteristic, complemented
25C37×#2413C211yesmaximal, characteristic, complemented
26C37×#2406C211yesmaximal, characteristic, complemented
27C37×#2325C211yesmaximal, characteristic, complemented
28C37×#2322C211yesmaximal, characteristic, complemented
29C37×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C37C211yesmaximal, characteristic, complemented
31C2×C37×#387C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C37×#539—28no—
34C2×#126×C37C2211yescharacteristic
35C2×#126×C37C2211yescharacteristic
36C2×#125×C37C2211yescharacteristic
37C2×#125×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×#123×C37C2211yescharacteristic
41C2×#123×C37C2211yescharacteristic
42C2×#123×C37C2211yescharacteristic
43C2×#123×C37C2211yescharacteristic
44C2×C22⋊Q8×C37C2211yescharacteristic
45C2×C22⋊Q8×C37C2211yescharacteristic
46C2×C22⋊Q8×C37C2211yescharacteristic
47C2×#121×C37C2211yescharacteristic
48C2×#121×C37C2211yescharacteristic
49C4×#41×C37—28no—
50C2×C4×Q8×C37C2211yescharacteristic
51C2×C4×Q8×C37C2211yescharacteristic
52C2×C4×D4×C37C2211yescharacteristic
53C2×C4×D4×C37C2211yescharacteristic
54C2×C4×D4×C37C2211yescharacteristic
55C2×C4×D4×C37C2211yescharacteristic
56C2×C4×D4×C37C2211yescharacteristic
57C2×C4×D4×C37C2211yescharacteristic
58C2×C4×D4×C37C2211yescharacteristic
59C2×#117×C37C2211yescharacteristic
60C2×#117×C37C2211yescharacteristic
61C2×#117×C37C2211yescharacteristic
62C22×C4⋊C4×C37C2211yescharacteristic
63C22×C4⋊C4×C37C2211yescharacteristic
64C22×C42×C37C2211yescharacteristic
65C22×C42×C37C2211yescharacteristic
66C22×C42×C37C2211yescharacteristic
67C37×#400C2211yescharacteristic
68C37×#400C2211yescharacteristic
69C37×#400C2211yescharacteristic
70C37×#400C2211yescharacteristic
71C37×#398C2211yescharacteristic
72C37×#398C2211yescharacteristic
73C37×#398C2211yescharacteristic
74C37×#398C2211yescharacteristic
75C37×#398C2211yescharacteristic
76C37×#398C2211yescharacteristic
77C37×#398C2211yescharacteristic
78C37×#397C2211yescharacteristic
79C37×#397C2211yescharacteristic
80C37×#397C2211yescharacteristic
81C37×#397C2211yescharacteristic
82C37×#397C2211yescharacteristic
83C37×#396C2211yescharacteristic
84C37×#396C2211yescharacteristic
85C37×#396C2211yescharacteristic
86C37×#396C2211yescharacteristic
87C37×#395C2211yescharacteristic
88C37×#395C2211yescharacteristic
89C37×#395C2211yescharacteristic
90C37×#395C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#394C2211yescharacteristic
93C37×#394C2211yescharacteristic
94C37×#394C2211yescharacteristic
95C37×#394C2211yescharacteristic
96C37×#393C2211yescharacteristic
97C37×#393C2211yescharacteristic
98C37×#392C2211yescharacteristic
99C37×#391C2211yescharacteristic
100C37×#391C2211yescharacteristic
101C37×#389C2211yescharacteristic
102C37×#389C2211yescharacteristic
103C37×#389C2211yescharacteristic
104C37×#389C2211yescharacteristic
105C37×#389C2211yescharacteristic
106C37×#389C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#387C2211yescharacteristic
120C37×#387C2211yescharacteristic
121C37×#387C2211yescharacteristic
122C37×#387C2211yescharacteristic
123C37×#387C2211yescharacteristic
124C37×#387C2211yescharacteristic
125C37×#387C2211yescharacteristic
126C37×#387C2211yescharacteristic
127C37×#387C2211yescharacteristic
128C37×#387C2211yescharacteristic
129C37×#387C2211yescharacteristic
130C37×#387C2211yescharacteristic
131C37×#387C2211yescharacteristic
132C37×#387C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#387C2211yescharacteristic
136C37×#387C2211yescharacteristic
137C37×#387C2211yescharacteristic
138C37×#387C2211yescharacteristic
139C37×#387C2211yescharacteristic
140C37×#387C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic
167C37×#385C2211yescharacteristic
168C37×#385C2211yescharacteristic
169C37×#383C2211yescharacteristic
170C37×#382C2211yescharacteristic
171C37×#381C2211yescharacteristic
172C37×#381C2211yescharacteristic
173C37×#381C2211yescharacteristic
174C37×#381C2211yescharacteristic
175C37×#381C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C4×C4⋊C4×C37C2211yescharacteristic
181C4×C4⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C2×#95×C37C2211yescharacteristic
188C2×#95×C37C2211yescharacteristic
189C2×#41×C37—24no—
190C2×#41×C37—24no—
191C2×#41×C37—24no—
192C22×Q8×C37C2311yescharacteristic
193C22×Q8×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×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
214#126×C37—24no—
215#126×C37—24no—
216#125×C37—24no—
217#125×C37—24no—
218#123×C37—24no—
219#123×C37—24no—
220#123×C37—24no—
221#123×C37—24no—
222#123×C37—24no—
223#123×C37—24no—
224C22⋊Q8×C37—24no—
225C22⋊Q8×C37—24no—
226C22⋊Q8×C37—24no—
227#121×C37—24no—
228#121×C37—24no—
229C4×Q8×C37—24no—
230C4×Q8×C37—24no—
231C4×D4×C37—24no—
232C4×D4×C37—24no—
233C4×D4×C37—24no—
234C4×D4×C37—24no—
235C4×D4×C37—24no—
236C4×D4×C37—24no—
237C4×D4×C37D418yescomplemented
238#117×C37—24no—
239#117×C37—24no—
240#117×C37—24no—
241C2×C4⋊C4×C37—24no—
242C2×C4⋊C4×C37—24no—
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×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C4⋊C4×C37C2311yescharacteristic
270C2×C4⋊C4×C37C2311yescharacteristic
271C2×C4⋊C4×C37C2311yescharacteristic
272C2×C4⋊C4×C37C2311yescharacteristic
273C2×C4⋊C4×C37C2311yescharacteristic
274C2×C4⋊C4×C37C2311yescharacteristic
275C2×C4⋊C4×C37C2311yescharacteristic
276C2×C4⋊C4×C37C2311yescharacteristic
277C2×C4⋊C4×C37C2311yescharacteristic
278C2×C4⋊C4×C37C2311yescharacteristic
279C2×C4⋊C4×C37C2311yescharacteristic
280C2×C4⋊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×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C42×C37—24no—
316C2×C42×C37—24no—
317C2×C42×C37—24no—
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×C37C2311yescharacteristic
323C2×C42×C37C2311yescharacteristic
324C2×C42×C37C2311yescharacteristic
325C2×C42×C37C2311yescharacteristic
326C2×C42×C37C2311yescharacteristic
327C2×C42×C37C2311yescharacteristic
328C2×C42×C37C2311yescharacteristic
329C2×C42×C37C2311yescharacteristic
330C2×C42×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
370#95×C37C2311yescharacteristic
371#95×C37C2311yescharacteristic
372#95×C37C2311yescharacteristic
373#95×C37C2311yescharacteristic
374#95×C37C2311yescharacteristic
375#95×C37C2311yescharacteristic
376#95×C37C2311yescharacteristic
377#95×C37C2311yescharacteristic
378#95×C37C2311yescharacteristic
379C24×C37C2411yescharacteristic
380C24×C37C2411yescharacteristic
381C24×C37C2411yescharacteristic
382C24×C37C2411yescharacteristic
383#41×C37—232no—
384C2×Q8×C37—22no—
385C2×Q8×C37—22no—
386C2×Q8×C37—22no—
387C2×Q8×C37—22no—
388C2×Q8×C37—41no—
389C2×Q8×C37—41no—
390C2×D4×C37—22no—
391C2×D4×C37—22no—
392C2×D4×C37—22no—
393C2×D4×C37—22no—
394C2×D4×C37—22no—
395C2×D4×C37—22no—
396C2×D4×C37—22no—
397C2×D4×C37—22no—
398C2×D4×C37—22no—
399C2×D4×C37—22no—
400C2×D4×C37—22no—
401C2×D4×C37—22no—
402C2×D4×C37—41no—
403C2×D4×C37—41no—
404C2×D4×C37—41no—
405C2×D4×C37—41no—
406C2×D4×C37C2×D414yes—
407C2×D4×C37#4114yes—
408C22×C4×C37—22no—
409C22×C4×C37—22no—
410C22×C4×C37—22no—
411C22×C4×C37—22no—
412C22×C4×C37—22no—
413C22×C4×C37—22no—
414C22×C4×C37—22no—
415C22×C4×C37—22no—
416C22×C4×C37—22no—
417C22×C4×C37—22no—
418C22×C4×C37—22no—
419C22×C4×C37—22no—
420C22×C4×C37—22no—
421C22×C4×C37—22no—
422C22×C4×C37—22no—
423C22×C4×C37—22no—
424C22×C4×C37—22no—
425C22×C4×C37—22no—
426C22×C4×C37—22no—
427C22×C4×C37—22no—
428C22×C4×C37—22no—
429C22×C4×C37—22no—
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×C37—41no—
441C22×C4×C37—41no—
442C22×C4×C37—41no—
443C22×C4×C37—41no—
444C22×C4×C37—41no—
445C22×C4×C37—41no—
446C22×C4×C37—41no—
447C22×C4×C37C2×D414yes—
448C22×C4×C37C2×D414yes—
449C22×C4×C37#4114yes—
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
475C22×C4×C37C2411yescharacteristic
476C22×C4×C37C2411yescharacteristic
477C4⋊C4×C37—22no—
478C4⋊C4×C37—22no—
479C4⋊C4×C37—22no—
480C4⋊C4×C37—22no—
481C4⋊C4×C37—22no—
482C4⋊C4×C37—22no—
483C4⋊C4×C37—22no—
484C4⋊C4×C37—22no—
485C4⋊C4×C37—22no—
486C4⋊C4×C37—22no—
487C4⋊C4×C37—22no—
488C4⋊C4×C37—22no—
489C4⋊C4×C37—22no—
490C4⋊C4×C37—22no—
491C4⋊C4×C37—22no—
492C4⋊C4×C37—22no—
493C4⋊C4×C37—22no—
494C4⋊C4×C37—22no—
495C4⋊C4×C37—22no—
496C4⋊C4×C37—22no—
497C4⋊C4×C37—22no—
498C4⋊C4×C37—22no—
499C4⋊C4×C37—22no—
500C4⋊C4×C37—22no—
501C4⋊C4×C37—22no—
502C4⋊C4×C37—22no—
503C4⋊C4×C37—22no—
504C4⋊C4×C37—22no—
505C4⋊C4×C37—41no—
506C4⋊C4×C37—41no—
507C4⋊C4×C37—41no—
508C4⋊C4×C37—41no—
509C4⋊C4×C37—41no—
510C4⋊C4×C37—41no—
511C4⋊C4×C37—41no—
512C4⋊C4×C37—41no—
513C4⋊C4×C37—41no—
514C4⋊C4×C37C2×D414yes—
515C22⋊C4×C37—22no—
516C22⋊C4×C37—22no—
517C22⋊C4×C37—22no—
518C22⋊C4×C37—22no—
519C22⋊C4×C37—22no—
520C22⋊C4×C37—22no—
521C22⋊C4×C37—22no—
522C22⋊C4×C37—22no—
523C22⋊C4×C37—22no—
524C22⋊C4×C37—22no—
525C22⋊C4×C37—22no—
526C22⋊C4×C37—22no—
527C22⋊C4×C37—22no—
528C22⋊C4×C37—22no—
529C22⋊C4×C37—22no—
530C22⋊C4×C37—22no—
531C22⋊C4×C37—22no—
532C22⋊C4×C37—22no—
533C22⋊C4×C37—22no—
534C22⋊C4×C37—22no—
535C22⋊C4×C37—22no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37C2×D414yes—
548C22⋊C4×C37C2×D414yes—
549C42×C37—22no—
550C42×C37—22no—
551C42×C37—22no—
552C42×C37—22no—
553C42×C37—22no—
554C42×C37—22no—
555C42×C37—22no—
556C42×C37—22no—
557C42×C37—22no—
558C42×C37—22no—
559C42×C37—41no—
560C42×C37—41no—
561C42×C37C2×D414yes—
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×C37—21no—
577C23×C37—21no—
578C23×C37—21no—
579C23×C37—21no—
580C23×C37—21no—
581C23×C37—21no—
582C23×C37—21no—
583C23×C37—21no—
584C23×C37—21no—
585C23×C37C22×D412yes—
586C23×C37C22×D412yes—
587C23×C37C2×#4112yes—
588C23×C37C2×#4112yes—
589C23×C37C2×#4112yes—
590C23×C37C2511yescharacteristic
591Q8×C37—28no—
592Q8×C37—82no—
593D4×C37—28no—
594D4×C37—28no—
595D4×C37—28no—
596D4×C37—44no—
597D4×C37—82no—
598D4×C37—82no—
599C2×C4×C37—28no—
600C2×C4×C37—28no—
601C2×C4×C37—28no—
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—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—44no—
675C2×C4×C37—44no—
676C2×C4×C37—44no—
677C2×C4×C37—44no—
678C2×C4×C37—44no—
679C2×C4×C37—44no—
680C2×C4×C37—44no—
681C2×C4×C37—44no—
682C2×C4×C37—82no—
683C2×C4×C37—82no—
684C2×C4×C37—82no—
685C2×C4×C37C22×D412yes—
686C2×C4×C37C22×D412yes—
687C2×C4×C37C22×D412yes—
688C2×C4×C37C22×D412yes—
689C2×C4×C37C22×D412yes—
690C2×C4×C37C2×#4112yes—
691C2×C4×C37C2×#4112yes—
692C2×C4×C37C2×#4112yes—
693C2×C4×C372−1+412yes—
694#35096C3711yesmaximal, characteristic, direct product factor, Sylow
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—22no—
705C22×C37—22no—
706C22×C37—22no—
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—41no—
717C22×C37—41no—
718C22×C37—41no—
719C22×C37—41no—
720C22×C37—41no—
721C22×C37—41no—
722C22×C37#52514yes—
723C22×C37C23×D411yescharacteristic
724C22×C37C22×#4111yescharacteristic
725C22×C37C22×#4111yescharacteristic
726C22×C37C2×2−1+411yescharacteristic
727C22×C37#58511yescharacteristic
728C22×C37#58511yescharacteristic
729C22×C37#58511yescharacteristic
730C4×C37—22no—
731C4×C37—22no—
732C4×C37—22no—
733C4×C37—22no—
734C4×C37—22no—
735C4×C37—22no—
736C4×C37—22no—
737C4×C37—22no—
738C4×C37—22no—
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—
751C4×C37—41no—
752C4×C37—41no—
753C4×C37—41no—
754C4×C37—41no—
755C4×C37—41no—
756C4×C37—41no—
757C2×#539C2×C3711yescharacteristic, complemented
758C2×C4×#41C2×C3711yescharacteristic, complemented
759#2855C2×C3711yescharacteristic, complemented
760#2853C2×C3711yescharacteristic, complemented
761#2852C2×C3711yescharacteristic, complemented
762#2851C2×C3711yescharacteristic, complemented
763#2638C2×C3711yescharacteristic, complemented
764#2637C2×C3711yescharacteristic, complemented
765#2634C2×C3711yescharacteristic, complemented
766#2630C2×C3711yescharacteristic, complemented
767#2478C2×C3711yescharacteristic, complemented
768#2477C2×C3711yescharacteristic, complemented
769#2475C2×C3711yescharacteristic, complemented
770#2470C2×C3711yescharacteristic, complemented
771#2468C2×C3711yescharacteristic, complemented
772#2465C2×C3711yescharacteristic, complemented
773#2462C2×C3711yescharacteristic, complemented
774#2457C2×C3711yescharacteristic, complemented
775#2450C2×C3711yescharacteristic, complemented
776#2444C2×C3711yescharacteristic, complemented
777#2438C2×C3711yescharacteristic, complemented
778#2430C2×C3711yescharacteristic
779#2425C2×C3711yescharacteristic, complemented
780#2419C2×C3711yescharacteristic, complemented
781#2413C2×C3711yescharacteristic, complemented
782#2406C2×C3711yescharacteristic, complemented
783#2325C2×C3711yescharacteristic, complemented
784#2322C2×C3711yescharacteristic, complemented
785#2318C2×C3711yescharacteristic, complemented
786C4×#123C2×C3711yescharacteristic, complemented
787C2×#387C2×C3711yescharacteristic, complemented
788C2×C37—24no—
789C2×C37—42no—
790C2×C37—42no—
791C2×C37—81no—
792C2×C37C2×#52511yescharacteristic
793C2×C37#345511yescharacteristic
794C2×C37#346111yescharacteristic
795C2×C37#348511yescharacteristic
796C2×C37#348911yescharacteristic
797C2×C37#351511yescharacteristic
798C2×C37#352111yescharacteristic
799C22×#41C22×C3711yescharacteristic
800#539—28no—
801C2×#126C22×C3711yescharacteristic
802C2×#126C22×C3711yescharacteristic
803C2×#125C22×C3711yescharacteristic
804C2×#125C22×C3711yescharacteristic
805C2×#123C22×C3711yescharacteristic
806C2×#123C22×C3711yescharacteristic
807C2×#123C22×C3711yescharacteristic
808C2×#123C22×C3711yescharacteristic
809C2×#123C22×C3711yescharacteristic
810C2×#123C22×C3711yescharacteristic
811C2×C22⋊Q8C22×C3711yescharacteristic
812C2×C22⋊Q8C22×C3711yescharacteristic
813C2×C22⋊Q8C22×C3711yescharacteristic
814C2×#121C22×C3711yescharacteristic
815C2×#121C22×C3711yescharacteristic
816C4×#41—28no—
817C2×C4×Q8C22×C3711yescharacteristic
818C2×C4×Q8C22×C3711yescharacteristic
819C2×C4×D4C22×C3711yescharacteristic
820C2×C4×D4C22×C3711yescharacteristic
821C2×C4×D4C22×C3711yescharacteristic
822C2×C4×D4C22×C3711yescharacteristic
823C2×C4×D4C22×C3711yescharacteristic
824C2×C4×D4C22×C3711yescharacteristic
825C2×C4×D4C22×C3711yescharacteristic
826C2×#117C22×C3711yescharacteristic
827C2×#117C22×C3711yescharacteristic
828C2×#117C22×C3711yescharacteristic
829C22×C4⋊C4C22×C3711yescharacteristic
830C22×C4⋊C4C22×C3711yescharacteristic
831C22×C42C22×C3711yescharacteristic
832C22×C42C22×C3711yescharacteristic
833C22×C42C22×C3711yescharacteristic
834#400C22×C3711yescharacteristic
835#400C22×C3711yescharacteristic
836#400C22×C3711yescharacteristic
837#400C22×C3711yescharacteristic
838#398C22×C3711yescharacteristic
839#398C22×C3711yescharacteristic
840#398C22×C3711yescharacteristic
841#398C22×C3711yescharacteristic
842#398C22×C3711yescharacteristic
843#398C22×C3711yescharacteristic
844#398C22×C3711yescharacteristic
845#397C22×C3711yescharacteristic
846#397C22×C3711yescharacteristic
847#397C22×C3711yescharacteristic
848#397C22×C3711yescharacteristic
849#397C22×C3711yescharacteristic
850#396C22×C3711yescharacteristic
851#396C22×C3711yescharacteristic
852#396C22×C3711yescharacteristic
853#396C22×C3711yescharacteristic
854#395C22×C3711yescharacteristic
855#395C22×C3711yescharacteristic
856#395C22×C3711yescharacteristic
857#395C22×C3711yescharacteristic
858#394C22×C3711yescharacteristic
859#394C22×C3711yescharacteristic
860#394C22×C3711yescharacteristic
861#394C22×C3711yescharacteristic
862#394C22×C3711yescharacteristic
863#393C22×C3711yescharacteristic
864#393C22×C3711yescharacteristic
865#392C22×C3711yescharacteristic
866#391C22×C3711yescharacteristic
867#391C22×C3711yescharacteristic
868#389C22×C3711yescharacteristic
869#389C22×C3711yescharacteristic
870#389C22×C3711yescharacteristic
871#389C22×C3711yescharacteristic
872#389C22×C3711yescharacteristic
873#389C22×C3711yescharacteristic
874#388C22×C3711yescharacteristic
875#388C22×C3711yescharacteristic
876#388C22×C3711yescharacteristic
877#388C22×C3711yescharacteristic
878#388C22×C3711yescharacteristic
879#388C22×C3711yescharacteristic
880#388C22×C3711yescharacteristic
881#388C22×C3711yescharacteristic
882#388C22×C3711yescharacteristic
883#388C22×C3711yescharacteristic
884#388C22×C3711yescharacteristic
885#388C22×C3711yescharacteristic
886#387C22×C3711yescharacteristic
887#387C22×C3711yescharacteristic
888#387C22×C3711yescharacteristic
889#387C22×C3711yescharacteristic
890#387C22×C3711yescharacteristic
891#387C22×C3711yescharacteristic
892#387C22×C3711yescharacteristic
893#387C22×C3711yescharacteristic
894#387C22×C3711yescharacteristic
895#387C22×C3711yescharacteristic
896#387C22×C3711yescharacteristic
897#387C22×C3711yescharacteristic
898#387C22×C3711yescharacteristic
899#387C22×C3711yescharacteristic
900#387C22×C3711yescharacteristic
901#387C22×C3711yescharacteristic
902#387C22×C3711yescharacteristic
903#387C22×C3711yescharacteristic
904#387C22×C3711yescharacteristic
905#387C22×C3711yescharacteristic
906#387C22×C3711yescharacteristic
907#387C22×C3711yescharacteristic
908#386C22×C3711yescharacteristic
909#386C22×C3711yescharacteristic
910#386C22×C3711yescharacteristic
911#386C22×C3711yescharacteristic
912#386C22×C3711yescharacteristic
913#386C22×C3711yescharacteristic
914#386C22×C3711yescharacteristic
915#386C22×C3711yescharacteristic
916#386C22×C3711yescharacteristic
917#386C22×C3711yescharacteristic
918#386C22×C3711yescharacteristic
919#386C22×C3711yescharacteristic
920#385C22×C3711yescharacteristic
921#385C22×C3711yescharacteristic
922#385C22×C3711yescharacteristic
923#385C22×C3711yescharacteristic
924#385C22×C3711yescharacteristic
925#385C22×C3711yescharacteristic
926#385C22×C3711yescharacteristic
927#385C22×C3711yescharacteristic
928#385C22×C3711yescharacteristic
929#385C22×C3711yescharacteristic
930#385C22×C3711yescharacteristic
931#385C22×C3711yescharacteristic
932#385C22×C3711yescharacteristic
933#385C22×C3711yescharacteristic
934#385C22×C3711yescharacteristic
935#385C22×C3711yescharacteristic
936#383C22×C3711yescharacteristic
937#382C22×C3711yescharacteristic
938#381C22×C3711yescharacteristic
939#381C22×C3711yescharacteristic
940#381C22×C3711yescharacteristic
941#381C22×C3711yescharacteristic
942#381C22×C3711yescharacteristic
943#380C22×C3711yescharacteristic
944#380C22×C3711yescharacteristic
945#380C22×C3711yescharacteristic
946#380C22×C3711yescharacteristic
947C4×C4⋊C4C22×C3711yescharacteristic
948C4×C4⋊C4C22×C3711yescharacteristic
949C4×C22⋊C4C22×C3711yescharacteristic
950C4×C22⋊C4C22×C3711yescharacteristic
951C4×C22⋊C4C22×C3711yescharacteristic
952C2×#95C22×C3711yescharacteristic
953C2×#95C22×C3711yescharacteristic
954C2×#95C22×C3711yescharacteristic
955C2×#95C22×C3711yescharacteristic
956C37#3509611yescharacteristic, direct product factor, Sylow
957C2×#41—24no—
958C2×#41—24no—
959C2×#41—24no—
960C22×Q8C23×C3711yescharacteristic
961C22×Q8C23×C3711yescharacteristic
962C22×D4C23×C3711yescharacteristic
963C22×D4C23×C3711yescharacteristic
964C22×D4C23×C3711yescharacteristic
965C22×D4C23×C3711yescharacteristic
966C22×D4C23×C3711yescharacteristic
967C22×D4C23×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
980C23×C4C23×C3711yescharacteristic
981C23×C4C23×C3711yescharacteristic
982#126—24no—
983#126—24no—
984#125—24no—
985#125—24no—
986#123—24no—
987#123—24no—
988#123—24no—
989#123—24no—
990#123—24no—
991#123—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995#121—24no—
996#121—24no—
997C4×Q8—24no—
998C4×Q8—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—24no—
1005C4×D4D4×C3718yescomplemented
1006#117—24no—
1007#117—24no—
1008#117—24no—
1009C2×C4⋊C4—24no—
1010C2×C4⋊C4—24no—
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×C4⋊C4C23×C3711yescharacteristic
1029C2×C4⋊C4C23×C3711yescharacteristic
1030C2×C4⋊C4C23×C3711yescharacteristic
1031C2×C4⋊C4C23×C3711yescharacteristic
1032C2×C4⋊C4C23×C3711yescharacteristic
1033C2×C4⋊C4C23×C3711yescharacteristic
1034C2×C4⋊C4C23×C3711yescharacteristic
1035C2×C4⋊C4C23×C3711yescharacteristic
1036C2×C4⋊C4C23×C3711yescharacteristic
1037C2×C4⋊C4C23×C3711yescharacteristic
1038C2×C4⋊C4C23×C3711yescharacteristic
1039C2×C4⋊C4C23×C3711yescharacteristic
1040C2×C4⋊C4C23×C3711yescharacteristic
1041C2×C4⋊C4C23×C3711yescharacteristic
1042C2×C4⋊C4C23×C3711yescharacteristic
1043C2×C4⋊C4C23×C3711yescharacteristic
1044C2×C4⋊C4C23×C3711yescharacteristic
1045C2×C4⋊C4C23×C3711yescharacteristic
1046C2×C4⋊C4C23×C3711yescharacteristic
1047C2×C4⋊C4C23×C3711yescharacteristic
1048C2×C4⋊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×C22⋊C4C23×C3711yescharacteristic
1061C2×C22⋊C4C23×C3711yescharacteristic
1062C2×C22⋊C4C23×C3711yescharacteristic
1063C2×C22⋊C4C23×C3711yescharacteristic
1064C2×C22⋊C4C23×C3711yescharacteristic
1065C2×C22⋊C4C23×C3711yescharacteristic
1066C2×C22⋊C4C23×C3711yescharacteristic
1067C2×C22⋊C4C23×C3711yescharacteristic
1068C2×C22⋊C4C23×C3711yescharacteristic
1069C2×C22⋊C4C23×C3711yescharacteristic
1070C2×C22⋊C4C23×C3711yescharacteristic
1071C2×C22⋊C4C23×C3711yescharacteristic
1072C2×C22⋊C4C23×C3711yescharacteristic
1073C2×C22⋊C4C23×C3711yescharacteristic
1074C2×C22⋊C4C23×C3711yescharacteristic
1075C2×C22⋊C4C23×C3711yescharacteristic
1076C2×C22⋊C4C23×C3711yescharacteristic
1077C2×C22⋊C4C23×C3711yescharacteristic
1078C2×C22⋊C4C23×C3711yescharacteristic
1079C2×C22⋊C4C23×C3711yescharacteristic
1080C2×C22⋊C4C23×C3711yescharacteristic
1081C2×C22⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4C23×C3711yescharacteristic
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—24no—
1086C2×C42C23×C3711yescharacteristic
1087C2×C42C23×C3711yescharacteristic
1088C2×C42C23×C3711yescharacteristic
1089C2×C42C23×C3711yescharacteristic
1090C2×C42C23×C3711yescharacteristic
1091C2×C42C23×C3711yescharacteristic
1092C2×C42C23×C3711yescharacteristic
1093C2×C42C23×C3711yescharacteristic
1094C2×C42C23×C3711yescharacteristic
1095C2×C42C23×C3711yescharacteristic
1096C2×C42C23×C3711yescharacteristic
1097C2×C42C23×C3711yescharacteristic
1098C2×C42C23×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
1132#95C23×C3711yescharacteristic
1133#95C23×C3711yescharacteristic
1134#95C23×C3711yescharacteristic
1135#95C23×C3711yescharacteristic
1136#95C23×C3711yescharacteristic
1137#95C23×C3711yescharacteristic
1138#95C23×C3711yescharacteristic
1139#95C23×C3711yescharacteristic
1140#95C23×C3711yescharacteristic
1141#95C23×C3711yescharacteristic
1142#95C23×C3711yescharacteristic
1143#95C23×C3711yescharacteristic
1144#95C23×C3711yescharacteristic
1145#95C23×C3711yescharacteristic
1146#95C23×C3711yescharacteristic
1147C24C24×C3711yescharacteristic
1148C24C24×C3711yescharacteristic
1149C24C24×C3711yescharacteristic
1150C24C24×C3711yescharacteristic
1151#41—232no—
1152C2×Q8—22no—
1153C2×Q8—22no—
1154C2×Q8—22no—
1155C2×Q8—22no—
1156C2×Q8—41no—
1157C2×Q8—41no—
1158C2×D4—22no—
1159C2×D4—22no—
1160C2×D4—22no—
1161C2×D4—22no—
1162C2×D4—22no—
1163C2×D4—22no—
1164C2×D4—22no—
1165C2×D4—22no—
1166C2×D4—22no—
1167C2×D4—22no—
1168C2×D4—22no—
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4C2×D4×C3714yes—
1175C2×D4#41×C3714yes—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—22no—
1179C22×C4—22no—
1180C22×C4—22no—
1181C22×C4—22no—
1182C22×C4—22no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—22no—
1194C22×C4—22no—
1195C22×C4—22no—
1196C22×C4—22no—
1197C22×C4—22no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—41no—
1215C22×C4C2×D4×C3714yes—
1216C22×C4C2×D4×C3714yes—
1217C22×C4#41×C3714yes—
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
1237C22×C4C24×C3711yescharacteristic
1238C22×C4C24×C3711yescharacteristic
1239C22×C4C24×C3711yescharacteristic
1240C22×C4C24×C3711yescharacteristic
1241C22×C4C24×C3711yescharacteristic
1242C22×C4C24×C3711yescharacteristic
1243C22×C4C24×C3711yescharacteristic
1244C22×C4C24×C3711yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—22no—
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—22no—
1253C4⋊C4—22no—
1254C4⋊C4—22no—
1255C4⋊C4—22no—
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—22no—
1265C4⋊C4—22no—
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—22no—
1272C4⋊C4—22no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4C2×D4×C3714yes—
1283C22⋊C4—22no—
1284C22⋊C4—22no—
1285C22⋊C4—22no—
1286C22⋊C4—22no—
1287C22⋊C4—22no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4C2×D4×C3714yes—
1316C22⋊C4C2×D4×C3714yes—
1317C42—22no—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—22no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—41no—
1328C42—41no—
1329C42C2×D4×C3714yes—
1330C23—21no—
1331C23—21no—
1332C23—21no—
1333C23—21no—
1334C23—21no—
1335C23—21no—
1336C23—21no—
1337C23—21no—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23C22×D4×C3712yes—
1354C23C22×D4×C3712yes—
1355C23C2×#41×C3712yes—
1356C23C2×#41×C3712yes—
1357C23C2×#41×C3712yes—
1358C23C25×C3711yescharacteristic
1359Q8—28no—
1360Q8—82no—
1361D4—28no—
1362D4—28no—
1363D4—28no—
1364D4—44no—
1365D4—82no—
1366D4—82no—
1367C2×C4—28no—
1368C2×C4—28no—
1369C2×C4—28no—
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—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—44no—
1443C2×C4—44no—
1444C2×C4—44no—
1445C2×C4—44no—
1446C2×C4—44no—
1447C2×C4—44no—
1448C2×C4—44no—
1449C2×C4—44no—
1450C2×C4—82no—
1451C2×C4—82no—
1452C2×C4—82no—
1453C2×C4C22×D4×C3712yes—
1454C2×C4C22×D4×C3712yes—
1455C2×C4C22×D4×C3712yes—
1456C2×C4C22×D4×C3712yes—
1457C2×C4C22×D4×C3712yes—
1458C2×C4C2×#41×C3712yes—
1459C2×C4C2×#41×C3712yes—
1460C2×C4C2×#41×C3712yes—
1461C2×C42−1+4×C3712yes—
1462C22—22no—
1463C22—22no—
1464C22—22no—
1465C22—22no—
1466C22—22no—
1467C22—22no—
1468C22—22no—
1469C22—22no—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—22no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—41no—
1478C22—41no—
1479C22—41no—
1480C22—41no—
1481C22—41no—
1482C22—41no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22C37×#52514yes—
1490C22C23×D4×C3711yescharacteristic
1491C22C22×#41×C3711yescharacteristic
1492C22C22×#41×C3711yescharacteristic
1493C22C2×2−1+4×C3711yescharacteristic
1494C22C37×#58511yescharacteristic
1495C22C37×#58511yescharacteristic
1496C22C37×#58511yescharacteristic
1497C4—22no—
1498C4—22no—
1499C4—22no—
1500C4—22no—
1501C4—22no—
1502C4—22no—
1503C4—22no—
1504C4—22no—
1505C4—22no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—41no—
1519C4—41no—
1520C4—41no—
1521C4—41no—
1522C4—41no—
1523C4—41no—
1524C2—24no—
1525C2—42no—
1526C2—42no—
1527C2—81no—
1528C2C2×C37×#52511yescharacteristic
1529C2C37×#345511yescharacteristic
1530C2C37×#346111yescharacteristic
1531C2C37×#348511yescharacteristic
1532C2C37×#348911yescharacteristic
1533C2C37×#351511yescharacteristic
1534C2C37×#352111yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2430C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C37×#539C2semidirect
2. C2×C4×#41×C37C2semidirect
3. C37×#2855C2semidirect
4. C37×#2853C2semidirect
5. C37×#2852C2semidirect
6. C37×#2851C2semidirect
7. C37×#2638C2semidirect
8. C37×#2637C2semidirect
9. C37×#2634C2semidirect
10. C37×#2630C2semidirect
11. C37×#2478C2semidirect
12. C37×#2477C2semidirect
13. C37×#2475C2semidirect
14. C37×#2470C2semidirect
15. C37×#2468C2semidirect
16. C37×#2465C2semidirect
17. C37×#2462C2semidirect
18. C37×#2457C2semidirect
19. C37×#2450C2semidirect
20. C37×#2444C2semidirect
21. C37×#2438C2semidirect
23. C37×#2425C2semidirect
24. C37×#2419C2semidirect
25. C37×#2413C2semidirect
26. C37×#2406C2semidirect
27. C37×#2325C2semidirect
28. C37×#2322C2semidirect
29. C37×#2318C2semidirect
30. C4×#123×C37C2semidirect
31. C2×C37×#387C2semidirect
237. C4×D4×C37D4semidirect
694. #35096C37direct (N × H)
757. C2×#539C2×C37semidirect
758. C2×C4×#41C2×C37semidirect
759. #2855C2×C37semidirect
760. #2853C2×C37semidirect
761. #2852C2×C37semidirect
762. #2851C2×C37semidirect
763. #2638C2×C37semidirect
764. #2637C2×C37semidirect
765. #2634C2×C37semidirect
766. #2630C2×C37semidirect
767. #2478C2×C37semidirect
768. #2477C2×C37semidirect
769. #2475C2×C37semidirect
770. #2470C2×C37semidirect
771. #2468C2×C37semidirect
772. #2465C2×C37semidirect
773. #2462C2×C37semidirect
774. #2457C2×C37semidirect
775. #2450C2×C37semidirect
776. #2444C2×C37semidirect
777. #2438C2×C37semidirect
779. #2425C2×C37semidirect
780. #2419C2×C37semidirect
781. #2413C2×C37semidirect
782. #2406C2×C37semidirect
783. #2325C2×C37semidirect
784. #2322C2×C37semidirect
785. #2318C2×C37semidirect
786. C4×#123C2×C37semidirect
787. C2×#387C2×C37semidirect
956. C37#35096direct (N × H)
1005. C4×D4D4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5392
C2×C4×#41×C372
C37×#28552
C37×#28532
C37×#28522
C37×#28512
C37×#26382
C37×#26372
C37×#26342
C37×#26302
C37×#24782
C37×#24772
C37×#24752
C37×#24702
C37×#24682
C37×#24652
C37×#24622
C37×#24572
C37×#24502
C37×#24442
C37×#24382
C37×#24302
C37×#24252
C37×#24192
C37×#24132
C37×#24062
C37×#23252
C37×#23222
C37×#23182
C4×#123×C372
C2×C37×#3872
#3509637