Finite Group Databasebeta

← C37×#25224 #22646477

Subgroups — C37×#25224 #22646477

Order 9472.

858 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#485C211yesmaximal, characteristic, complemented
2C2×C37×#468C211yesmaximal, characteristic
3C37×#2500C211yesmaximal, characteristic
4C37×#2360C211yesmaximal, characteristic, complemented
5C37×#2085C211yesmaximal, characteristic, complemented
6C37×#2072C211yesmaximal, characteristic, complemented
7C37×#2067C211yesmaximal, characteristic, complemented
8C37×#2055C211yesmaximal, characteristic, complemented
9C37×#1947C211yesmaximal, characteristic, complemented
10C37×#1926C211yesmaximal, characteristic, complemented
11C37×#1880C211yesmaximal, characteristic, complemented
12C37×#1874C211yesmaximal, characteristic
13C37×#1851C211yesmaximal, characteristic, complemented
14C37×#1805C211yesmaximal, characteristic, complemented
15C37×#1736C211yesmaximal, characteristic, complemented
16C22×SD16×C37C2211yescharacteristic
17C22×M16×C37C2211yescharacteristic
18C2×C22⋊Q8×C37C2211yescharacteristic
19C2×#121×C37C2211yescharacteristic
20C2×C4×Q8×C37C2211yescharacteristic
21C2×#117×C37C2211yescharacteristic
22C22×C4⋊C4×C37C2211yescharacteristic
23C37×#485—24no—
24C37×#468—24no—
25C2×#107×C37C2211yescharacteristic
26C2×#107×C37C2211yescharacteristic
27C2×#106×C37C2211yescharacteristic
28C2×C4⋊C8×C37C2211yescharacteristic
29C2×C4⋊C8×C37C2211yescharacteristic
30C2×#103×C37C2211yescharacteristic
31C2×#103×C37C2211yescharacteristic
32C2×#103×C37C2211yescharacteristic
33C2×#102×C37C2211yescharacteristic
34C2×#102×C37C2211yescharacteristic
35C2×#102×C37C2211yescharacteristic
36C2×C22⋊C8×C37C2211yescharacteristic
37C37×#394—21no—
38C37×#394—21no—
39C37×#391C2211yescharacteristic
40C37×#390C2211yescharacteristic
41C37×#390C2211yescharacteristic
42C37×#389—21no—
43C37×#389C2211yescharacteristic
44C37×#388—21no—
45C37×#388—21no—
46C37×#387—21no—
47C37×#385—21no—
48C37×#384C2211yescharacteristic
49C37×#382C2211yescharacteristic
50C4×C4⋊C4×C37C2211yescharacteristic
51C4×C22⋊C4×C37—21no—
52C4×C22⋊C4×C37C2211yescharacteristic
53C37×#340C2211yescharacteristic
54C37×#340C2211yescharacteristic
55C37×#340C2211yescharacteristic
56C37×#340C2211yescharacteristic
57C37×#340C2211yescharacteristic
58C37×#340C2211yescharacteristic
59C37×#336C2211yescharacteristic
60C37×#336C2211yescharacteristic
61C22×Q8×C37C2311yescharacteristic
62C22×D4×C37—21no—
63C22×D4×C37C2311yescharacteristic
64C23×C4×C37—21no—
65C23×C4×C37C2311yescharacteristic
66C2×SD16×C37—22no—
67C2×SD16×C37—22no—
68C2×SD16×C37—41no—
69C2×M16×C37—22no—
70C2×M16×C37—22no—
71C2×M16×C37—41no—
72C22×C8×C37C2311yescharacteristic
73C22×C8×C37C2311yescharacteristic
74C22×C8×C37C2311yescharacteristic
75C22×C8×C37C2311yescharacteristic
76C22⋊Q8×C37—22no—
77C22⋊Q8×C37D414yes—
78#121×C37—22no—
79#121×C37—22no—
80C4×Q8×C37—22no—
81C4×Q8×C37—41no—
82#117×C37—22no—
83#117×C37—22no—
84C2×C4⋊C4×C37—21no—
85C2×C4⋊C4×C37—22no—
86C2×C4⋊C4×C37—21no—
87C2×C4⋊C4×C37—21no—
88C2×C4⋊C4×C37—21no—
89C2×C4⋊C4×C37—21no—
90C2×C4⋊C4×C37—21no—
91C2×C4⋊C4×C37—41no—
92C2×C4⋊C4×C37C2311yescharacteristic
93C2×C4⋊C4×C37C2311yescharacteristic
94C2×C4⋊C4×C37C2311yescharacteristic
95C2×C4⋊C4×C37C2311yescharacteristic
96C2×C4⋊C4×C37C2311yescharacteristic
97C2×C4⋊C4×C37C2311yescharacteristic
98C2×C22⋊C4×C37—21no—
99C2×C22⋊C4×C37—21no—
100C2×C22⋊C4×C37—21no—
101C2×C22⋊C4×C37—21no—
102C2×C22⋊C4×C37—21no—
103C2×C22⋊C4×C37—21no—
104C2×C22⋊C4×C37—21no—
105C2×C22⋊C4×C37D411yescharacteristic
106C2×C22⋊C4×C37D411yescharacteristic
107C2×C42×C37—21no—
108C2×C42×C37—21no—
109C2×C42×C37—21no—
110C2×C42×C37C2311yescharacteristic
111C2×C42×C37C2311yescharacteristic
112#107×C37—22no—
113#107×C37—22no—
114#106×C37—22no—
115C4⋊C8×C37—22no—
116C4⋊C8×C37—41no—
117#103×C37—22no—
118#103×C37—22no—
119#103×C37—22no—
120#102×C37—22no—
121#102×C37—22no—
122#102×C37—41no—
123C22⋊C8×C37—22no—
124#95×C37—21no—
125#95×C37—21no—
126#95×C37—21no—
127#95×C37—21no—
128#95×C37—21no—
129#95×C37—21no—
130#95×C37D411yescharacteristic
131#95×C37D411yescharacteristic
132C24×C37—21no—
133C24×C37C2×D411yescharacteristic
134C2×Q8×C37—21no—
135C2×Q8×C37—21no—
136C2×Q8×C37—21no—
137C2×Q8×C37—21no—
138C2×Q8×C37—21no—
139C2×Q8×C37C2×D412yes—
140C2×D4×C37—21no—
141C2×D4×C37—21no—
142C2×D4×C37—21no—
143C2×D4×C37—21no—
144C2×D4×C37—21no—
145C2×D4×C37—21no—
146C2×D4×C37—42no—
147C2×D4×C37—81no—
148C2×D4×C37—81no—
149C22×C4×C37—21no—
150C22×C4×C37—21no—
151C22×C4×C37—21no—
152C22×C4×C37—21no—
153C22×C4×C37—21no—
154C22×C4×C37—21no—
155C22×C4×C37—21no—
156C22×C4×C37—21no—
157C22×C4×C37—21no—
158C22×C4×C37—21no—
159C22×C4×C37—21no—
160C22×C4×C37—42no—
161C22×C4×C37—42no—
162C22×C4×C37—81no—
163C22×C4×C37C2×D411yescharacteristic
164C22×C4×C37C2×D411yescharacteristic
165C22×C4×C37C2×D411yescharacteristic
166C22×C4×C37C2×D411yescharacteristic
167C22×C4×C37C2×D412yes—
168C22×C4×C37C2×D411yescharacteristic
169C22×C4×C37#4112yes—
170C22×C4×C37C2411yescharacteristic
171SD16×C37—44no—
172M16×C37—44no—
173C2×C8×C37—21no—
174C2×C8×C37—21no—
175C2×C8×C37—21no—
176C2×C8×C37—21no—
177C2×C8×C37—21no—
178C2×C8×C37—21no—
179C2×C8×C37—21no—
180C2×C8×C37—21no—
181C2×C8×C37—21no—
182C2×C8×C37—21no—
183C2×C8×C37—21no—
184C2×C8×C37#4112yes—
185C4⋊C4×C37—24no—
186C4⋊C4×C37—21no—
187C4⋊C4×C37—21no—
188C4⋊C4×C37—21no—
189C4⋊C4×C37—21no—
190C4⋊C4×C37—21no—
191C4⋊C4×C37—21no—
192C4⋊C4×C37—21no—
193C4⋊C4×C37—21no—
194C4⋊C4×C37—21no—
195C4⋊C4×C37—21no—
196C4⋊C4×C37—42no—
197C4⋊C4×C37—42no—
198C4⋊C4×C37—81no—
199C4⋊C4×C37—81no—
200C4⋊C4×C37—81no—
201C4⋊C4×C37C2×D412yes—
202C4⋊C4×C37#4112yes—
203C22⋊C4×C37—24no—
204C22⋊C4×C37—22no—
205C22⋊C4×C37—41no—
206C22⋊C4×C37—42no—
207C22⋊C4×C37—42no—
208C22⋊C4×C37—42no—
209C22⋊C4×C37—42no—
210C22⋊C4×C37—81no—
211C22⋊C4×C37—81no—
212C42×C37—21no—
213C42×C37—21no—
214C42×C37—21no—
215C42×C37—21no—
216C42×C37—42no—
217C42×C37—42no—
218C42×C37—81no—
219C23×C37—21no—
220C23×C37—21no—
221C23×C37—21no—
222C23×C37—21no—
223C23×C37—21no—
224C23×C37—21no—
225C23×C37—41no—
226C23×C37—41no—
227C23×C37—41no—
228C23×C37—41no—
229C23×C37—41no—
230C23×C37—41no—
231C23×C37—41no—
232C23×C37#12112yes—
233C23×C37C22×D411yescharacteristic
234Q8×C37—22no—
235Q8×C37—22no—
236Q8×C37—41no—
237Q8×C37—41no—
238D4×C37—41no—
239D4×C37—41no—
240D4×C37—41no—
241D4×C37—41no—
242D4×C37—84no—
243C2×C4×C37—21no—
244C2×C4×C37—21no—
245C2×C4×C37—21no—
246C2×C4×C37—21no—
247C2×C4×C37—22no—
248C2×C4×C37—22no—
249C2×C4×C37—22no—
250C2×C4×C37—22no—
251C2×C4×C37—22no—
252C2×C4×C37—22no—
253C2×C4×C37—21no—
254C2×C4×C37—21no—
255C2×C4×C37—22no—
256C2×C4×C37—21no—
257C2×C4×C37—21no—
258C2×C4×C37—21no—
259C2×C4×C37—21no—
260C2×C4×C37—21no—
261C2×C4×C37—21no—
262C2×C4×C37—21no—
263C2×C4×C37—41no—
264C2×C4×C37—41no—
265C2×C4×C37—41no—
266C2×C4×C37—41no—
267C2×C4×C37—41no—
268C2×C4×C37—41no—
269C2×C4×C37—41no—
270C2×C4×C37—41no—
271C2×C4×C37—41no—
272C2×C4×C37—41no—
273C2×C4×C37—41no—
274C2×C4×C37—41no—
275C2×C4×C37—41no—
276C2×C4×C37—41no—
277C2×C4×C37—41no—
278C2×C4×C37—41no—
279C2×C4×C37—41no—
280C2×C4×C37—41no—
281C2×C4×C37—84no—
282C2×C4×C37#12112yes—
283C2×C4×C37#13712yes—
284C2×C4×C37C22×D411yescharacteristic
285C2×C4×C37C2×#4111yescharacteristic
286C2×C4×C37C2×#4111yescharacteristic
287C2×C4×C37C2×#4111yescharacteristic
288C2×C4×C37H(5,𝔽2)11yescharacteristic
289C2×C4×C372−1+411yescharacteristic
290C8×C37—22no—
291C8×C37—41no—
292C8×C37—41no—
293C8×C37—41no—
294#25224C3711yesmaximal, characteristic, direct product factor, Sylow
295C22×C37—22no—
296C22×C37—22no—
297C22×C37—22no—
298C22×C37—41no—
299C22×C37—41no—
300C22×C37—41no—
301C22×C37—41no—
302C22×C37—81no—
303C22×C37—81no—
304C22×C37—81no—
305C22×C37—81no—
306C22×C37—81no—
307C22×C37—81no—
308C22×C37—81no—
309C22×C37C2×#12111yescharacteristic
310C22×C37#54611yescharacteristic
311C22×C37#54711yescharacteristic
312C22×C37C2×#13711yescharacteristic
313C22×C37#57511yescharacteristic
314C22×C37#57611yescharacteristic
315C22×C37#57711yescharacteristic
316C4×C37—22no—
317C4×C37—22no—
318C4×C37—41no—
319C4×C37—41no—
320C4×C37—42no—
321C4×C37—42no—
322C4×C37—41no—
323C4×C37—42no—
324C4×C37—81no—
325C4×C37—81no—
326C4×C37—81no—
327C4×C37—81no—
328C4×C37#52911yescharacteristic
329C4×C37#53911yescharacteristic
330C4×C37#54611yescharacteristic
331C4×C37#54711yescharacteristic
332C2×#485C2×C3711yescharacteristic, complemented
333C2×#468C2×C3711yescharacteristic
334#2500C2×C3711yescharacteristic
335#2360C2×C3711yescharacteristic, complemented
336#2085C2×C3711yescharacteristic, complemented
337#2072C2×C3711yescharacteristic, complemented
338#2067C2×C3711yescharacteristic, complemented
339#2055C2×C3711yescharacteristic, complemented
340#1947C2×C3711yescharacteristic, complemented
341#1926C2×C3711yescharacteristic, complemented
342#1880C2×C3711yescharacteristic, complemented
343#1874C2×C3711yescharacteristic
344#1851C2×C3711yescharacteristic, complemented
345#1805C2×C3711yescharacteristic, complemented
346#1736C2×C3711yescharacteristic, complemented
347C2×C37—42no—
348C2×C37—161no—
349C2×C37#242511yescharacteristic
350C2×C37#303711yescharacteristic
351C2×C37#304511yescharacteristic
352C2×C37#331911yescharacteristic
353C2×C37#332911yescharacteristic
354C2×C37#334611yescharacteristic
355C2×C37#335111yescharacteristic
356C22×SD16C22×C3711yescharacteristic
357C22×M16C22×C3711yescharacteristic
358C2×C22⋊Q8C22×C3711yescharacteristic
359C2×#121C22×C3711yescharacteristic
360C2×C4×Q8C22×C3711yescharacteristic
361C2×#117C22×C3711yescharacteristic
362C22×C4⋊C4C22×C3711yescharacteristic
363#485—24no—
364#468—24no—
365C2×#107C22×C3711yescharacteristic
366C2×#107C22×C3711yescharacteristic
367C2×#106C22×C3711yescharacteristic
368C2×C4⋊C8C22×C3711yescharacteristic
369C2×C4⋊C8C22×C3711yescharacteristic
370C2×#103C22×C3711yescharacteristic
371C2×#103C22×C3711yescharacteristic
372C2×#103C22×C3711yescharacteristic
373C2×#102C22×C3711yescharacteristic
374C2×#102C22×C3711yescharacteristic
375C2×#102C22×C3711yescharacteristic
376C2×C22⋊C8C22×C3711yescharacteristic
377#394—21no—
378#394—21no—
379#391C22×C3711yescharacteristic
380#390C22×C3711yescharacteristic
381#390C22×C3711yescharacteristic
382#389—21no—
383#389C22×C3711yescharacteristic
384#388—21no—
385#388—21no—
386#387—21no—
387#385—21no—
388#384C22×C3711yescharacteristic
389#382C22×C3711yescharacteristic
390C4×C4⋊C4C22×C3711yescharacteristic
391C4×C22⋊C4—21no—
392C4×C22⋊C4C22×C3711yescharacteristic
393#340C22×C3711yescharacteristic
394#340C22×C3711yescharacteristic
395#340C22×C3711yescharacteristic
396#340C22×C3711yescharacteristic
397#340C22×C3711yescharacteristic
398#340C22×C3711yescharacteristic
399#336C22×C3711yescharacteristic
400#336C22×C3711yescharacteristic
401C37#2522411yescharacteristic, direct product factor, Sylow
402C22×Q8C23×C3711yescharacteristic
403C22×D4—21no—
404C22×D4C23×C3711yescharacteristic
405C23×C4—21no—
406C23×C4C23×C3711yescharacteristic
407C2×SD16—22no—
408C2×SD16—22no—
409C2×SD16—41no—
410C2×M16—22no—
411C2×M16—22no—
412C2×M16—41no—
413C22×C8C23×C3711yescharacteristic
414C22×C8C23×C3711yescharacteristic
415C22×C8C23×C3711yescharacteristic
416C22×C8C23×C3711yescharacteristic
417C22⋊Q8—22no—
418C22⋊Q8D4×C3714yes—
419#121—22no—
420#121—22no—
421C4×Q8—22no—
422C4×Q8—41no—
423#117—22no—
424#117—22no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4—22no—
427C2×C4⋊C4—21no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—41no—
433C2×C4⋊C4C23×C3711yescharacteristic
434C2×C4⋊C4C23×C3711yescharacteristic
435C2×C4⋊C4C23×C3711yescharacteristic
436C2×C4⋊C4C23×C3711yescharacteristic
437C2×C4⋊C4C23×C3711yescharacteristic
438C2×C4⋊C4C23×C3711yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4D4×C3711yescharacteristic
447C2×C22⋊C4D4×C3711yescharacteristic
448C2×C42—21no—
449C2×C42—21no—
450C2×C42—21no—
451C2×C42C23×C3711yescharacteristic
452C2×C42C23×C3711yescharacteristic
453#107—22no—
454#107—22no—
455#106—22no—
456C4⋊C8—22no—
457C4⋊C8—41no—
458#103—22no—
459#103—22no—
460#103—22no—
461#102—22no—
462#102—22no—
463#102—41no—
464C22⋊C8—22no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95D4×C3711yescharacteristic
472#95D4×C3711yescharacteristic
473C24—21no—
474C24C2×D4×C3711yescharacteristic
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8C2×D4×C3712yes—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—42no—
488C2×D4—81no—
489C2×D4—81no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—21no—
495C22×C4—21no—
496C22×C4—21no—
497C22×C4—21no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—81no—
504C22×C4C2×D4×C3711yescharacteristic
505C22×C4C2×D4×C3711yescharacteristic
506C22×C4C2×D4×C3711yescharacteristic
507C22×C4C2×D4×C3711yescharacteristic
508C22×C4C2×D4×C3712yes—
509C22×C4C2×D4×C3711yescharacteristic
510C22×C4#41×C3712yes—
511C22×C4C24×C3711yescharacteristic
512SD16—44no—
513M16—44no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8#41×C3712yes—
526C4⋊C4—24no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—42no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4—81no—
541C4⋊C4—81no—
542C4⋊C4C2×D4×C3712yes—
543C4⋊C4#41×C3712yes—
544C22⋊C4—24no—
545C22⋊C4—22no—
546C22⋊C4—41no—
547C22⋊C4—42no—
548C22⋊C4—42no—
549C22⋊C4—42no—
550C22⋊C4—42no—
551C22⋊C4—81no—
552C22⋊C4—81no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—42no—
558C42—42no—
559C42—81no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23#121×C3712yes—
574C23C22×D4×C3711yescharacteristic
575Q8—22no—
576Q8—22no—
577Q8—41no—
578Q8—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—84no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—84no—
623C2×C4#121×C3712yes—
624C2×C4#137×C3712yes—
625C2×C4C22×D4×C3711yescharacteristic
626C2×C4C2×#41×C3711yescharacteristic
627C2×C4C2×#41×C3711yescharacteristic
628C2×C4C2×#41×C3711yescharacteristic
629C2×C4H(5,𝔽2)×C3711yescharacteristic
630C2×C42−1+4×C3711yescharacteristic
631C8—22no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—22no—
636C22—22no—
637C22—22no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—41no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×#121×C3711yescharacteristic
650C22C37×#54611yescharacteristic
651C22C37×#54711yescharacteristic
652C22C2×#137×C3711yescharacteristic
653C22C37×#57511yescharacteristic
654C22C37×#57611yescharacteristic
655C22C37×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—42no—
659C4—42no—
660C4—41no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C37×#52911yescharacteristic
669C4C37×#53911yescharacteristic
670C4C37×#54611yescharacteristic
671C4C37×#54711yescharacteristic
672C2—42no—
673C2—161no—
674C2C37×#242511yescharacteristic
675C2C37×#303711yescharacteristic
676C2C37×#304511yescharacteristic
677C2C37×#331911yescharacteristic
678C2C37×#332911yescharacteristic
679C2C37×#334611yescharacteristic
680C2C37×#335111yescharacteristic
subgroupG/H
center, socleC23×C37C22×D4
commutator, Frattini, cosocleC22×C4C24×C37
prime radicalC2×#121×C37C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C37 ◁ C4×C22⋊C4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C37×#485C2semidirect
4. C37×#2360C2semidirect
5. C37×#2085C2semidirect
6. C37×#2072C2semidirect
7. C37×#2067C2semidirect
8. C37×#2055C2semidirect
9. C37×#1947C2semidirect
10. C37×#1926C2semidirect
11. C37×#1880C2semidirect
13. C37×#1851C2semidirect
14. C37×#1805C2semidirect
15. C37×#1736C2semidirect
294. #25224C37direct (N × H)
332. C2×#485C2×C37semidirect
335. #2360C2×C37semidirect
336. #2085C2×C37semidirect
337. #2072C2×C37semidirect
338. #2067C2×C37semidirect
339. #2055C2×C37semidirect
340. #1947C2×C37semidirect
341. #1926C2×C37semidirect
342. #1880C2×C37semidirect
344. #1851C2×C37semidirect
345. #1805C2×C37semidirect
346. #1736C2×C37semidirect
401. C37#25224direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C37×#4852
C2×C37×#4682
C37×#25002
C37×#23602
C37×#20852
C37×#20722
C37×#20672
C37×#20552
C37×#19472
C37×#19262
C37×#18802
C37×#18742
C37×#18512
C37×#18052
C37×#17362
#2522437