Finite Group Databasebeta

← C37×#34488 #22655741

Subgroups — C37×#34488 #22655741

Order 9472.

1940 conjugacy classes of subgroups.

The subgroup lattice has 626 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#557C211yesmaximal, characteristic
2C37×#2382C214yesmaximal
3C37×#2370C212yesmaximal
4C37×#2365C211yesmaximal, characteristic
5C37×#2365C212yesmaximal
6C37×#2355C212yesmaximal
7C37×#2355C211yesmaximal, characteristic
8C37×#2351C212yesmaximal
9Q8×C4⋊C4×C37C211yesmaximal, characteristic
10C37×#2336C214yesmaximal
11C37×#2330C212yesmaximal
12C37×#2327C212yesmaximal
13C37×#2320C212yesmaximal
14C37×#2320C212yesmaximal
15C4×C4⋊Q8×C37C211yesmaximal, characteristic
16C37×#2295C211yesmaximal, characteristic
17C37×#2295C211yesmaximal, characteristic
18C37×#557C4116yescomplemented
19C2×C4⋊Q8×C37C2211yescharacteristic
20C2×C4⋊Q8×C37C2212yes—
21C2×#125×C37C2212yes—
22C2×#125×C37C2214yes—
23C2×C4×Q8×C37C2212yes—
24C2×C4×Q8×C37C2212yes—
25C2×C4×Q8×C37C2212yes—
26C2×C4×Q8×C37C2211yescharacteristic
27C2×C4×Q8×C37C2212yes—
28C2×C4×Q8×C37C2211yescharacteristic
29C2×C4×Q8×C37C2212yes—
30C37×#391C2211yescharacteristic
31C37×#391C2212yes—
32C37×#391C2211yescharacteristic
33C37×#391C2212yes—
34C37×#391C2211yescharacteristic
35C37×#391C2211yescharacteristic
36C37×#391C2212yes—
37C37×#389C2212yes—
38C37×#389C2214yes—
39C37×#389C2211yescharacteristic
40C37×#389C2214yes—
41C37×#389C2214yes—
42C37×#389C2212yes—
43C37×#389C2214yes—
44C37×#389C2211yescharacteristic
45C37×#389C2212yes—
46C37×#389C2211yescharacteristic
47C37×#389C2211yescharacteristic
48C37×#389C2212yes—
49C37×#387C2214yes—
50C37×#387C2214yes—
51C37×#387C2214yes—
52C37×#387C2214yes—
53C37×#387C2214yes—
54C37×#387C2214yes—
55C37×#387C2214yes—
56C37×#387C2212yes—
57C37×#387C2212yes—
58C37×#387C2212yes—
59C37×#387C2212yes—
60C37×#387C2214yes—
61C37×#387C2214yes—
62C37×#387C2214yes—
63C37×#384C2211yescharacteristic
64C37×#384C2212yes—
65C37×#383C2214yes—
66C37×#382C2212yes—
67C37×#382C2214yes—
68C37×#382C2214yes—
69C4×C4⋊C4×C37C2211yescharacteristic
70C4×C4⋊C4×C37C2212yes—
71C4×C4⋊C4×C37C2214yes—
72C4×C4⋊C4×C37C2212yes—
73C4×C4⋊C4×C37C2211yescharacteristic
74C4×C4⋊C4×C37C2212yes—
75C4×C4⋊C4×C37C2212yes—
76C4×C4⋊C4×C37C2212yes—
77C4×C4⋊C4×C37C2212yes—
78C4×C4⋊C4×C37C2212yes—
79C4×C4⋊C4×C37C2214yes—
80C4×C4⋊C4×C37C2212yes—
81C37×#376C2212yes—
82C37×#376C2212yes—
83C43×C37C2211yescharacteristic
84C22×Q8×C37C2312yes—
85C22×Q8×C37C2311yescharacteristic
86C22×Q8×C37C2311yescharacteristic
87C4⋊Q8×C37C2×C418yes—
88C4⋊Q8×C37C2×C4116yes—
89#125×C37C2×C4116yes—
90#125×C37C2×C4132yes—
91C4×Q8×C37—44no—
92C4×Q8×C37—44no—
93C4×Q8×C37—44no—
94C4×Q8×C37C2×C4116yes—
95C4×Q8×C37C2×C418yes—
96C4×Q8×C37C2×C4116yes—
97C4×Q8×C37C2×C418yes—
98C2×C4⋊C4×C37C2311yescharacteristic
99C2×C4⋊C4×C37C2312yes—
100C2×C4⋊C4×C37C2312yes—
101C2×C4⋊C4×C37C2312yes—
102C2×C4⋊C4×C37C2311yescharacteristic
103C2×C4⋊C4×C37C2311yescharacteristic
104C2×C4⋊C4×C37C2311yescharacteristic
105C2×C4⋊C4×C37C2312yes—
106C2×C4⋊C4×C37C2312yes—
107C2×C4⋊C4×C37C2314yes—
108C2×C4⋊C4×C37C2312yes—
109C2×C4⋊C4×C37C2312yes—
110C2×C4⋊C4×C37C2314yes—
111C2×C4⋊C4×C37C2314yes—
112C2×C4⋊C4×C37C2314yes—
113C2×C4⋊C4×C37C2314yes—
114C2×C4⋊C4×C37C2312yes—
115C2×C4⋊C4×C37C2311yescharacteristic
116C2×C4⋊C4×C37C2312yes—
117C2×C4⋊C4×C37C2314yes—
118C2×C4⋊C4×C37C2312yes—
119C2×C4⋊C4×C37C2312yes—
120C2×C4⋊C4×C37C2314yes—
121C2×C4⋊C4×C37C2311yescharacteristic
122C2×C42×C37C2311yescharacteristic
123C2×C42×C37C2311yescharacteristic
124C2×C42×C37C2311yescharacteristic
125C2×C42×C37C2311yescharacteristic
126C2×C42×C37C2311yescharacteristic
127C2×C42×C37C2312yes—
128C2×C42×C37C2312yes—
129C2×C42×C37C2311yescharacteristic
130C2×C42×C37C2314yes—
131C2×C42×C37C2314yes—
132C2×C42×C37C2314yes—
133C2×C42×C37C2314yes—
134C2×C42×C37C2312yes—
135C2×C42×C37C2314yes—
136C2×C42×C37C2311yescharacteristic
137C2×C42×C37C2312yes—
138#95×C37C2312yes—
139#95×C37C2312yes—
140#95×C37C2312yes—
141#95×C37C2312yes—
142#95×C37C2312yes—
143#95×C37C2312yes—
144#95×C37C2312yes—
145#95×C37C2312yes—
146#95×C37C2312yes—
147#95×C37C2312yes—
148#95×C37C2314yes—
149#95×C37C2312yes—
150#95×C37C2314yes—
151#95×C37C2314yes—
152#95×C37C2314yes—
153#95×C37C2314yes—
154#95×C37C2314yes—
155#95×C37C2314yes—
156#95×C37C2314yes—
157#95×C37C2312yes—
158#95×C37C2312yes—
159#95×C37C2312yes—
160C2×Q8×C37—22no—
161C2×Q8×C37—24no—
162C2×Q8×C37—22no—
163C2×Q8×C37—22no—
164C2×Q8×C37—24no—
165C2×Q8×C37—22no—
166C2×Q8×C37C22×C414yes—
167C2×Q8×C37C22×C414yes—
168C2×Q8×C37C22×C418yes—
169C22×C4×C37C2411yescharacteristic
170C22×C4×C37C2411yescharacteristic
171C22×C4×C37C2412yes—
172C22×C4×C37C2412yes—
173C22×C4×C37C2412yes—
174C22×C4×C37C2412yes—
175C22×C4×C37C2411yescharacteristic
176C22×C4×C37C2414yes—
177C22×C4×C37C2412yes—
178C22×C4×C37C2411yescharacteristic
179C22×C4×C37C2412yes—
180C22×C4×C37C2412yes—
181C22×C4×C37C2412yes—
182C22×C4×C37C2414yes—
183C22×C4×C37C2411yescharacteristic
184C22×C4×C37C2411yescharacteristic
185C22×C4×C37C2411yescharacteristic
186C4⋊C4×C37—22no—
187C4⋊C4×C37—24no—
188C4⋊C4×C37—24no—
189C4⋊C4×C37—24no—
190C4⋊C4×C37—22no—
191C4⋊C4×C37—22no—
192C4⋊C4×C37—24no—
193C4⋊C4×C37—22no—
194C4⋊C4×C37—42no—
195C4⋊C4×C37—42no—
196C4⋊C4×C37—42no—
197C4⋊C4×C37—44no—
198C4⋊C4×C37—44no—
199C4⋊C4×C37—44no—
200C4⋊C4×C37—44no—
201C4⋊C4×C37C22×C414yes—
202C4⋊C4×C37C22×C4116yes—
203C4⋊C4×C37C22×C418yes—
204C4⋊C4×C37C22×C418yes—
205C4⋊C4×C37C22×C414yes—
206C4⋊C4×C37C22×C4116yes—
207C4⋊C4×C37C22×C418yes—
208C4⋊C4×C37C22×C4116yes—
209C4⋊C4×C37C22×C418yes—
210C42×C37—22no—
211C42×C37—24no—
212C42×C37—22no—
213C42×C37—22no—
214C42×C37—24no—
215C42×C37—22no—
216C42×C37—22no—
217C42×C37—44no—
218C42×C37—41no—
219C42×C37—44no—
220C42×C37—44no—
221C42×C37—44no—
222C42×C37C22×C4116yes—
223C42×C37C22×C418yes—
224C42×C37C22×C418yes—
225C42×C37C22×C414yes—
226C23×C37C2511yescharacteristic
227Q8×C37—28no—
228Q8×C37—28no—
229Q8×C37—216no—
230C2×C4×C37—21no—
231C2×C4×C37—24no—
232C2×C4×C37—22no—
233C2×C4×C37—21no—
234C2×C4×C37—21no—
235C2×C4×C37—22no—
236C2×C4×C37—22no—
237C2×C4×C37—22no—
238C2×C4×C37—22no—
239C2×C4×C37—22no—
240C2×C4×C37—24no—
241C2×C4×C37—22no—
242C2×C4×C37—21no—
243C2×C4×C37—22no—
244C2×C4×C37—22no—
245C2×C4×C37—22no—
246C2×C4×C37—21no—
247C2×C4×C37—22no—
248C2×C4×C37—24no—
249C2×C4×C37—22no—
250C2×C4×C37—21no—
251C2×C4×C37—21no—
252C2×C4×C37—22no—
253C2×C4×C37—21no—
254C2×C4×C37—21no—
255C2×C4×C37—21no—
256C2×C4×C37—21no—
257C2×C4×C37—22no—
258C2×C4×C37—22no—
259C2×C4×C37—22no—
260C2×C4×C37—22no—
261C2×C4×C37—24no—
262C2×C4×C37—22no—
263C2×C4×C37—22no—
264C2×C4×C37—21no—
265C2×C4×C37—24no—
266C2×C4×C37—21no—
267C2×C4×C37—22no—
268C2×C4×C37C23×C414yes—
269C2×C4×C37C23×C414yes—
270C2×C4×C37C23×C412yes—
271C2×C4×C37C23×C414yes—
272C2×C4×C37C23×C418yes—
273C2×C4×C37C23×C414yes—
274C2×C4×C37C23×C412yes—
275C2×C4×C37C23×C412yes—
276C2×C4×C37H(5,𝔽2)12yes—
277C2×C4×C372−1+412yes—
278C2×C4×C372−1+412yes—
279C2×C4×C372−1+412yes—
280C2×C4×C372−1+412yes—
281#34488C3711yesmaximal, characteristic, direct product factor, Sylow
282C22×C37C24×C411yescharacteristic
283C22×C37C2×H(5,𝔽2)11yescharacteristic
284C22×C37C2×2−1+411yescharacteristic
285C22×C37C2×2−1+411yescharacteristic
286C22×C37C2×2−1+411yescharacteristic
287C22×C37C2×2−1+411yescharacteristic
288C22×C37#58511yescharacteristic
289C4×C37—24no—
290C4×C37—28no—
291C4×C37—24no—
292C4×C37—22no—
293C4×C37—24no—
294C4×C37—24no—
295C4×C37—22no—
296C4×C37—42no—
297C4×C37—42no—
298C4×C37—42no—
299C4×C37—41no—
300C4×C37—44no—
301C4×C37—41no—
302C4×C37—42no—
303C4×C37—41no—
304C4×C37#51914yes—
305C4×C37#52014yes—
306C2×#557C2×C3711yescharacteristic
307#2382C2×C3714yes—
308#2370C2×C3712yes—
309#2365C2×C3712yes—
310#2365C2×C3711yescharacteristic
311#2355C2×C3712yes—
312#2355C2×C3711yescharacteristic
313#2351C2×C3712yes—
314Q8×C4⋊C4C2×C3711yescharacteristic
315#2336C2×C3714yes—
316#2330C2×C3712yes—
317#2327C2×C3712yes—
318#2320C2×C3712yes—
319#2320C2×C3712yes—
320C4×C4⋊Q8C2×C3711yescharacteristic
321#2295C2×C3711yescharacteristic
322#2295C2×C3711yescharacteristic
323C2×C37C2×#51911yescharacteristic
324C2×C37C2×#52011yescharacteristic
325C2×C37C4×2−1+411yescharacteristic
326C2×C37#355211yescharacteristic
327C2×C37#355411yescharacteristic
328C2×C37#355511yescharacteristic
329C2×C37#355611yescharacteristic
330#557C4×C37116yescomplemented
331C2×C4⋊Q8C22×C3711yescharacteristic
332C2×C4⋊Q8C22×C3712yes—
333C2×#125C22×C3712yes—
334C2×#125C22×C3714yes—
335C2×C4×Q8C22×C3712yes—
336C2×C4×Q8C22×C3712yes—
337C2×C4×Q8C22×C3712yes—
338C2×C4×Q8C22×C3712yes—
339C2×C4×Q8C22×C3712yes—
340C2×C4×Q8C22×C3711yescharacteristic
341C2×C4×Q8C22×C3711yescharacteristic
342#391C22×C3712yes—
343#391C22×C3711yescharacteristic
344#391C22×C3712yes—
345#391C22×C3712yes—
346#391C22×C3711yescharacteristic
347#391C22×C3711yescharacteristic
348#391C22×C3711yescharacteristic
349#389C22×C3712yes—
350#389C22×C3712yes—
351#389C22×C3711yescharacteristic
352#389C22×C3712yes—
353#389C22×C3712yes—
354#389C22×C3711yescharacteristic
355#389C22×C3714yes—
356#389C22×C3714yes—
357#389C22×C3714yes—
358#389C22×C3714yes—
359#389C22×C3711yescharacteristic
360#389C22×C3711yescharacteristic
361#387C22×C3714yes—
362#387C22×C3714yes—
363#387C22×C3714yes—
364#387C22×C3714yes—
365#387C22×C3714yes—
366#387C22×C3714yes—
367#387C22×C3714yes—
368#387C22×C3712yes—
369#387C22×C3712yes—
370#387C22×C3714yes—
371#387C22×C3714yes—
372#387C22×C3714yes—
373#387C22×C3712yes—
374#387C22×C3712yes—
375#384C22×C3711yescharacteristic
376#384C22×C3712yes—
377#383C22×C3714yes—
378#382C22×C3714yes—
379#382C22×C3714yes—
380#382C22×C3712yes—
381C4×C4⋊C4C22×C3712yes—
382C4×C4⋊C4C22×C3712yes—
383C4×C4⋊C4C22×C3712yes—
384C4×C4⋊C4C22×C3712yes—
385C4×C4⋊C4C22×C3712yes—
386C4×C4⋊C4C22×C3712yes—
387C4×C4⋊C4C22×C3714yes—
388C4×C4⋊C4C22×C3714yes—
389C4×C4⋊C4C22×C3711yescharacteristic
390C4×C4⋊C4C22×C3712yes—
391C4×C4⋊C4C22×C3711yescharacteristic
392C4×C4⋊C4C22×C3712yes—
393#376C22×C3712yes—
394#376C22×C3712yes—
395C43C22×C3711yescharacteristic
396C37#3448811yescharacteristic, direct product factor, Sylow
397C22×Q8C23×C3712yes—
398C22×Q8C23×C3711yescharacteristic
399C22×Q8C23×C3711yescharacteristic
400C4⋊Q8C2×C4×C3718yes—
401C4⋊Q8C2×C4×C37116yes—
402#125C2×C4×C37116yes—
403#125C2×C4×C37132yes—
404C4×Q8—44no—
405C4×Q8—44no—
406C4×Q8—44no—
407C4×Q8C2×C4×C37116yes—
408C4×Q8C2×C4×C37116yes—
409C4×Q8C2×C4×C3718yes—
410C4×Q8C2×C4×C3718yes—
411C2×C4⋊C4C23×C3711yescharacteristic
412C2×C4⋊C4C23×C3712yes—
413C2×C4⋊C4C23×C3712yes—
414C2×C4⋊C4C23×C3711yescharacteristic
415C2×C4⋊C4C23×C3712yes—
416C2×C4⋊C4C23×C3712yes—
417C2×C4⋊C4C23×C3711yescharacteristic
418C2×C4⋊C4C23×C3711yescharacteristic
419C2×C4⋊C4C23×C3714yes—
420C2×C4⋊C4C23×C3714yes—
421C2×C4⋊C4C23×C3714yes—
422C2×C4⋊C4C23×C3712yes—
423C2×C4⋊C4C23×C3714yes—
424C2×C4⋊C4C23×C3712yes—
425C2×C4⋊C4C23×C3712yes—
426C2×C4⋊C4C23×C3711yescharacteristic
427C2×C4⋊C4C23×C3711yescharacteristic
428C2×C4⋊C4C23×C3712yes—
429C2×C4⋊C4C23×C3714yes—
430C2×C4⋊C4C23×C3712yes—
431C2×C4⋊C4C23×C3712yes—
432C2×C4⋊C4C23×C3714yes—
433C2×C4⋊C4C23×C3714yes—
434C2×C4⋊C4C23×C3712yes—
435C2×C42C23×C3711yescharacteristic
436C2×C42C23×C3712yes—
437C2×C42C23×C3711yescharacteristic
438C2×C42C23×C3711yescharacteristic
439C2×C42C23×C3711yescharacteristic
440C2×C42C23×C3711yescharacteristic
441C2×C42C23×C3712yes—
442C2×C42C23×C3714yes—
443C2×C42C23×C3714yes—
444C2×C42C23×C3714yes—
445C2×C42C23×C3711yescharacteristic
446C2×C42C23×C3714yes—
447C2×C42C23×C3712yes—
448C2×C42C23×C3714yes—
449C2×C42C23×C3711yescharacteristic
450C2×C42C23×C3712yes—
451#95C23×C3712yes—
452#95C23×C3712yes—
453#95C23×C3712yes—
454#95C23×C3712yes—
455#95C23×C3712yes—
456#95C23×C3712yes—
457#95C23×C3712yes—
458#95C23×C3712yes—
459#95C23×C3712yes—
460#95C23×C3712yes—
461#95C23×C3714yes—
462#95C23×C3712yes—
463#95C23×C3714yes—
464#95C23×C3714yes—
465#95C23×C3714yes—
466#95C23×C3714yes—
467#95C23×C3714yes—
468#95C23×C3714yes—
469#95C23×C3714yes—
470#95C23×C3712yes—
471#95C23×C3712yes—
472#95C23×C3712yes—
473C2×Q8—24no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—24no—
478C2×Q8—22no—
479C2×Q8C22×C4×C3714yes—
480C2×Q8C22×C4×C3718yes—
481C2×Q8C22×C4×C3714yes—
482C22×C4C24×C3711yescharacteristic
483C22×C4C24×C3711yescharacteristic
484C22×C4C24×C3712yes—
485C22×C4C24×C3712yes—
486C22×C4C24×C3712yes—
487C22×C4C24×C3712yes—
488C22×C4C24×C3711yescharacteristic
489C22×C4C24×C3714yes—
490C22×C4C24×C3712yes—
491C22×C4C24×C3711yescharacteristic
492C22×C4C24×C3712yes—
493C22×C4C24×C3712yes—
494C22×C4C24×C3712yes—
495C22×C4C24×C3714yes—
496C22×C4C24×C3711yescharacteristic
497C22×C4C24×C3711yescharacteristic
498C22×C4C24×C3711yescharacteristic
499C4⋊C4—22no—
500C4⋊C4—24no—
501C4⋊C4—24no—
502C4⋊C4—24no—
503C4⋊C4—22no—
504C4⋊C4—24no—
505C4⋊C4—22no—
506C4⋊C4—22no—
507C4⋊C4—42no—
508C4⋊C4—42no—
509C4⋊C4—42no—
510C4⋊C4—44no—
511C4⋊C4—44no—
512C4⋊C4—44no—
513C4⋊C4—44no—
514C4⋊C4C22×C4×C3714yes—
515C4⋊C4C22×C4×C37116yes—
516C4⋊C4C22×C4×C3718yes—
517C4⋊C4C22×C4×C3718yes—
518C4⋊C4C22×C4×C3714yes—
519C4⋊C4C22×C4×C37116yes—
520C4⋊C4C22×C4×C3718yes—
521C4⋊C4C22×C4×C37116yes—
522C4⋊C4C22×C4×C3718yes—
523C42—22no—
524C42—24no—
525C42—22no—
526C42—22no—
527C42—24no—
528C42—22no—
529C42—22no—
530C42—44no—
531C42—41no—
532C42—44no—
533C42—44no—
534C42—44no—
535C42C22×C4×C37116yes—
536C42C22×C4×C3718yes—
537C42C22×C4×C3718yes—
538C42C22×C4×C3714yes—
539C23C25×C3711yescharacteristic
540Q8—28no—
541Q8—216no—
542Q8—28no—
543C2×C4—21no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—24no—
554C2×C4—22no—
555C2×C4—21no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—22no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—21no—
567C2×C4—21no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—22no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—22no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—24no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4C23×C4×C3714yes—
582C2×C4C23×C4×C3714yes—
583C2×C4C23×C4×C3712yes—
584C2×C4C23×C4×C3714yes—
585C2×C4C23×C4×C3718yes—
586C2×C4C23×C4×C3714yes—
587C2×C4C23×C4×C3712yes—
588C2×C4C23×C4×C3712yes—
589C2×C4H(5,𝔽2)×C3712yes—
590C2×C42−1+4×C3712yes—
591C2×C42−1+4×C3712yes—
592C2×C42−1+4×C3712yes—
593C2×C42−1+4×C3712yes—
594C22C24×C4×C3711yescharacteristic
595C22C2×H(5,𝔽2)×C3711yescharacteristic
596C22C2×2−1+4×C3711yescharacteristic
597C22C2×2−1+4×C3711yescharacteristic
598C22C2×2−1+4×C3711yescharacteristic
599C22C2×2−1+4×C3711yescharacteristic
600C22C37×#58511yescharacteristic
601C4—24no—
602C4—28no—
603C4—24no—
604C4—22no—
605C4—24no—
606C4—24no—
607C4—22no—
608C4—42no—
609C4—42no—
610C4—42no—
611C4—41no—
612C4—44no—
613C4—41no—
614C4—42no—
615C4—41no—
616C4C37×#51914yes—
617C4C37×#52014yes—
618C2C2×C37×#51911yescharacteristic
619C2C2×C37×#52011yescharacteristic
620C2C4×2−1+4×C3711yescharacteristic
621C2C37×#355211yescharacteristic
622C2C37×#355411yescharacteristic
623C2C37×#355511yescharacteristic
624C2C37×#355611yescharacteristic
subgroupG/H
center, socle, prime radicalC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
18. C37×#557C4semidirect
281. #34488C37direct (N × H)
330. #557C4×C37semidirect
396. C37#34488direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C37×#5572
C37×#23822
C37×#23702
C37×#23652
C37×#23552
C37×#23512
Q8×C4⋊C4×C372
C37×#23362
C37×#23302
C37×#23272
C37×#23202
C4×C4⋊Q8×C372
C37×#22952
#3448837