Finite Group Databasebeta

← C37×#35073 #22656326

Subgroups — C37×#35073 #22656326

Order 9472.

1744 conjugacy classes of subgroups.

The subgroup lattice has 1398 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2866C211yesmaximal, characteristic, complemented
2C37×#2863C211yesmaximal, characteristic, complemented
3C37×#2855C211yesmaximal, characteristic, complemented
4C37×#2852C211yesmaximal, characteristic, complemented
5C37×#2665C211yesmaximal, characteristic, complemented
6C37×#2663C211yesmaximal, characteristic, complemented
7C37×#2638C211yesmaximal, characteristic, complemented
8C37×#2630C211yesmaximal, characteristic
9C37×#2586C211yesmaximal, characteristic, complemented
10C37×#2573C211yesmaximal, characteristic, complemented
11C37×#2572C211yesmaximal, characteristic, complemented
12C37×#2556C211yesmaximal, characteristic, complemented
13C37×#2524C211yesmaximal, characteristic, complemented
14C37×#2523C211yesmaximal, characteristic, complemented
15C37×#2523C211yesmaximal, characteristic, complemented
16C37×#2521C211yesmaximal, characteristic, complemented
17C37×#2518C211yesmaximal, characteristic, complemented
18C37×#2469C211yesmaximal, characteristic, complemented
19C37×#2466C211yesmaximal, characteristic, complemented
20C37×#2466C211yesmaximal, characteristic, complemented
21C37×#2465C211yesmaximal, characteristic, complemented
22C37×#2463C211yesmaximal, characteristic
23C37×#2460C211yesmaximal, characteristic, complemented
24C37×#2459C211yesmaximal, characteristic
25C37×#2337C211yesmaximal, characteristic, complemented
26C37×#2336C211yesmaximal, characteristic, complemented
27C37×#2334C211yesmaximal, characteristic, complemented
28C37×#2332C211yesmaximal, characteristic, complemented
29C4×C22⋊Q8×C37C211yesmaximal, characteristic, complemented
30C4×#123×C37C211yesmaximal, characteristic, complemented
31C42×D4×C37C211yesmaximal, characteristic, complemented
32C2×#126×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#125×C37C2211yescharacteristic
35C2×#124×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×C22⋊Q8×C37C2211yescharacteristic
38C2×C22⋊Q8×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C4×Q8×C37C2211yescharacteristic
41C2×C4×D4×C37C2211yescharacteristic
42C2×C4×D4×C37C2211yescharacteristic
43C2×C4×D4×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C22×C42×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic
47C37×#400C2211yescharacteristic
48C37×#400C2211yescharacteristic
49C37×#400C2211yescharacteristic
50C37×#399C2211yescharacteristic
51C37×#398C2211yescharacteristic
52C37×#398C2211yescharacteristic
53C37×#397C2211yescharacteristic
54C37×#397C2211yescharacteristic
55C37×#397C2211yescharacteristic
56C37×#397C2211yescharacteristic
57C37×#397C2211yescharacteristic
58C37×#397C2211yescharacteristic
59C37×#396C2211yescharacteristic
60C37×#396C2211yescharacteristic
61C37×#396C2211yescharacteristic
62C37×#396C2211yescharacteristic
63C37×#395C2211yescharacteristic
64C37×#395C2211yescharacteristic
65C37×#395C2211yescharacteristic
66C37×#395C2211yescharacteristic
67C37×#394C2211yescharacteristic
68C37×#394C2211yescharacteristic
69C37×#394C2211yescharacteristic
70C37×#394C2211yescharacteristic
71C37×#394C2211yescharacteristic
72C37×#394C2211yescharacteristic
73C37×#394C2211yescharacteristic
74C37×#393C2211yescharacteristic
75C37×#393C2211yescharacteristic
76C37×#393C2211yescharacteristic
77C37×#393C2211yescharacteristic
78C37×#392C2211yescharacteristic
79C37×#391C2211yescharacteristic
80C37×#391C2211yescharacteristic
81C37×#391C2211yescharacteristic
82C37×#391C2211yescharacteristic
83C37×#391C2211yescharacteristic
84C37×#391C2211yescharacteristic
85C37×#391C2211yescharacteristic
86C37×#391C2211yescharacteristic
87C37×#389C2211yescharacteristic
88C37×#389C2211yescharacteristic
89C37×#389C2211yescharacteristic
90C37×#389C2211yescharacteristic
91C37×#389C2211yescharacteristic
92C37×#389C2211yescharacteristic
93C37×#389C2211yescharacteristic
94C37×#389C2211yescharacteristic
95C37×#388C2211yescharacteristic
96C37×#388C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#388C2211yescharacteristic
101C37×#388C2211yescharacteristic
102C37×#388C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic
105C37×#388C2211yescharacteristic
106C37×#388C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#387C2211yescharacteristic
115C37×#387C2211yescharacteristic
116C37×#387C2211yescharacteristic
117C37×#387C2211yescharacteristic
118C37×#387C2211yescharacteristic
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×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#385C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#383C2211yescharacteristic
156C37×#383C2211yescharacteristic
157C37×#383C2211yescharacteristic
158C37×#383C2211yescharacteristic
159C37×#383C2211yescharacteristic
160C37×#382C2211yescharacteristic
161C37×#381C2211yescharacteristic
162C37×#381C2211yescharacteristic
163C37×#381C2211yescharacteristic
164C37×#381C2211yescharacteristic
165C37×#380C2211yescharacteristic
166C37×#380C2211yescharacteristic
167C4×C4⋊C4×C37C2211yescharacteristic
168C4×C4⋊C4×C37C2211yescharacteristic
169C4×C4⋊C4×C37C2211yescharacteristic
170C4×C4⋊C4×C37C2211yescharacteristic
171C4×C4⋊C4×C37C2211yescharacteristic
172C4×C4⋊C4×C37C2211yescharacteristic
173C4×C4⋊C4×C37C2211yescharacteristic
174C4×C4⋊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
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C4×C22⋊C4×C37C2211yescharacteristic
186C43×C37C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×Q8×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200#126×C37—24no—
201#126×C37—42no—
202#125×C37—24no—
203#124×C37—24no—
204#123×C37—24no—
205C22⋊Q8×C37—24no—
206C22⋊Q8×C37—24no—
207C22⋊Q8×C37—42no—
208C4×Q8×C37—42no—
209C4×D4×C37—24no—
210C4×D4×C37—24no—
211C4×D4×C37—24no—
212C4×D4×C37—42no—
213C2×C4⋊C4×C37C2311yescharacteristic
214C2×C4⋊C4×C37C2311yescharacteristic
215C2×C4⋊C4×C37C2311yescharacteristic
216C2×C4⋊C4×C37C2311yescharacteristic
217C2×C4⋊C4×C37C2311yescharacteristic
218C2×C4⋊C4×C37C2311yescharacteristic
219C2×C4⋊C4×C37C2311yescharacteristic
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
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×C22⋊C4×C37C2311yescharacteristic
248C2×C22⋊C4×C37C2311yescharacteristic
249C2×C22⋊C4×C37C2311yescharacteristic
250C2×C22⋊C4×C37C2311yescharacteristic
251C2×C22⋊C4×C37C2311yescharacteristic
252C2×C22⋊C4×C37C2311yescharacteristic
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊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×C42×C37—42no—
280C2×C42×C37—42no—
281C2×C42×C37C2311yescharacteristic
282C2×C42×C37C2311yescharacteristic
283C2×C42×C37C2311yescharacteristic
284C2×C42×C37C2311yescharacteristic
285C2×C42×C37C2311yescharacteristic
286C2×C42×C37C2311yescharacteristic
287C2×C42×C37C2311yescharacteristic
288C2×C42×C37C2311yescharacteristic
289C2×C42×C37C2311yescharacteristic
290C2×C42×C37C2311yescharacteristic
291C2×C42×C37C2311yescharacteristic
292C2×C42×C37C2311yescharacteristic
293C2×C42×C37C2311yescharacteristic
294C2×C42×C37C2311yescharacteristic
295C2×C42×C37C2311yescharacteristic
296C2×C42×C37C2311yescharacteristic
297C2×C42×C37C2311yescharacteristic
298C2×C42×C37C2311yescharacteristic
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301#95×C37C2311yescharacteristic
302#95×C37C2311yescharacteristic
303#95×C37C2311yescharacteristic
304#95×C37C2311yescharacteristic
305#95×C37C2311yescharacteristic
306#95×C37C2311yescharacteristic
307#95×C37C2311yescharacteristic
308#95×C37C2311yescharacteristic
309#95×C37C2311yescharacteristic
310#95×C37C2311yescharacteristic
311#95×C37C2311yescharacteristic
312#95×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×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
357C24×C37C2411yescharacteristic
358C24×C37C2411yescharacteristic
359C24×C37C2411yescharacteristic
360C2×Q8×C37—22no—
361C2×Q8×C37—22no—
362C2×Q8×C37—22no—
363C2×Q8×C37—41no—
364C2×Q8×C37—41no—
365C2×Q8×C37—41no—
366C2×Q8×C37—41no—
367C2×Q8×C37—41no—
368C2×Q8×C37—41no—
369C2×D4×C37—22no—
370C2×D4×C37—22no—
371C2×D4×C37—22no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—41no—
375C2×D4×C37—41no—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
378C22×C4×C37—22no—
379C22×C4×C37—22no—
380C22×C4×C37—22no—
381C22×C4×C37—22no—
382C22×C4×C37—22no—
383C22×C4×C37—22no—
384C22×C4×C37—22no—
385C22×C4×C37—22no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—41no—
389C22×C4×C37—41no—
390C22×C4×C37—41no—
391C22×C4×C37—41no—
392C22×C4×C37—41no—
393C22×C4×C37—41no—
394C22×C4×C37—41no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37#4114yes—
399C22×C4×C37C2411yescharacteristic
400C22×C4×C37C2411yescharacteristic
401C22×C4×C37C2411yescharacteristic
402C22×C4×C37C2411yescharacteristic
403C22×C4×C37C2411yescharacteristic
404C22×C4×C37C2411yescharacteristic
405C22×C4×C37C2411yescharacteristic
406C22×C4×C37C2411yescharacteristic
407C22×C4×C37C2411yescharacteristic
408C22×C4×C37C2411yescharacteristic
409C22×C4×C37C2411yescharacteristic
410C22×C4×C37C2411yescharacteristic
411C22×C4×C37C2411yescharacteristic
412C22×C4×C37C2411yescharacteristic
413C22×C4×C37C2411yescharacteristic
414C22×C4×C37C2411yescharacteristic
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C4⋊C4×C37—22no—
428C4⋊C4×C37—22no—
429C4⋊C4×C37—22no—
430C4⋊C4×C37—22no—
431C4⋊C4×C37—22no—
432C4⋊C4×C37—22no—
433C4⋊C4×C37—22no—
434C4⋊C4×C37—22no—
435C4⋊C4×C37—22no—
436C4⋊C4×C37—22no—
437C4⋊C4×C37—22no—
438C4⋊C4×C37—22no—
439C4⋊C4×C37—22no—
440C4⋊C4×C37—22no—
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—22no—
444C4⋊C4×C37—22no—
445C4⋊C4×C37—22no—
446C4⋊C4×C37—22no—
447C4⋊C4×C37—22no—
448C4⋊C4×C37—41no—
449C4⋊C4×C37—41no—
450C4⋊C4×C37—41no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37#4114yes—
461C22⋊C4×C37—22no—
462C22⋊C4×C37—22no—
463C22⋊C4×C37—22no—
464C22⋊C4×C37—22no—
465C22⋊C4×C37—22no—
466C22⋊C4×C37—22no—
467C22⋊C4×C37—22no—
468C22⋊C4×C37—22no—
469C22⋊C4×C37—22no—
470C22⋊C4×C37—22no—
471C22⋊C4×C37—22no—
472C22⋊C4×C37—22no—
473C22⋊C4×C37—22no—
474C22⋊C4×C37—22no—
475C22⋊C4×C37—22no—
476C22⋊C4×C37—22no—
477C22⋊C4×C37—22no—
478C22⋊C4×C37—22no—
479C22⋊C4×C37—22no—
480C22⋊C4×C37—41no—
481C22⋊C4×C37—41no—
482C22⋊C4×C37—41no—
483C22⋊C4×C37—41no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37—41no—
491C22⋊C4×C37—41no—
492C22⋊C4×C37#4114yes—
493C42×C37—22no—
494C42×C37—22no—
495C42×C37—22no—
496C42×C37—22no—
497C42×C37—22no—
498C42×C37—22no—
499C42×C37—22no—
500C42×C37—22no—
501C42×C37—22no—
502C42×C37—22no—
503C42×C37—41no—
504C42×C37—41no—
505C42×C37—41no—
506C42×C37—41no—
507C42×C37—41no—
508C42×C37—41no—
509C42×C37—41no—
510C42×C37—41no—
511C42×C37—41no—
512C42×C37—41no—
513C23×C37—21no—
514C23×C37—21no—
515C23×C37—21no—
516C23×C37—21no—
517C23×C37—21no—
518C23×C37—21no—
519C23×C37—21no—
520C23×C37—21no—
521C23×C37—21no—
522C23×C37—21no—
523C23×C37—21no—
524C23×C37—21no—
525C23×C37—21no—
526C23×C37—21no—
527C23×C37—21no—
528C23×C37—21no—
529C23×C37—21no—
530C23×C37—21no—
531C23×C37—21no—
532C23×C37C2×#4112yes—
533C23×C37C2×#4112yes—
534C23×C37C2511yescharacteristic
535Q8×C37—44no—
536Q8×C37—82no—
537Q8×C37—82no—
538D4×C37—28no—
539D4×C37—44no—
540D4×C37—82no—
541C2×C4×C37—21no—
542C2×C4×C37—21no—
543C2×C4×C37—21no—
544C2×C4×C37—21no—
545C2×C4×C37—21no—
546C2×C4×C37—21no—
547C2×C4×C37—21no—
548C2×C4×C37—21no—
549C2×C4×C37—21no—
550C2×C4×C37—21no—
551C2×C4×C37—21no—
552C2×C4×C37—21no—
553C2×C4×C37—21no—
554C2×C4×C37—21no—
555C2×C4×C37—21no—
556C2×C4×C37—21no—
557C2×C4×C37—21no—
558C2×C4×C37—21no—
559C2×C4×C37—21no—
560C2×C4×C37—21no—
561C2×C4×C37—21no—
562C2×C4×C37—21no—
563C2×C4×C37—21no—
564C2×C4×C37—21no—
565C2×C4×C37—21no—
566C2×C4×C37—21no—
567C2×C4×C37—21no—
568C2×C4×C37—21no—
569C2×C4×C37—21no—
570C2×C4×C37—21no—
571C2×C4×C37—21no—
572C2×C4×C37—21no—
573C2×C4×C37—21no—
574C2×C4×C37—21no—
575C2×C4×C37—21no—
576C2×C4×C37—21no—
577C2×C4×C37—21no—
578C2×C4×C37—21no—
579C2×C4×C37—21no—
580C2×C4×C37—21no—
581C2×C4×C37—21no—
582C2×C4×C37—21no—
583C2×C4×C37—21no—
584C2×C4×C37—21no—
585C2×C4×C37—21no—
586C2×C4×C37—21no—
587C2×C4×C37—21no—
588C2×C4×C37—21no—
589C2×C4×C37—21no—
590C2×C4×C37—21no—
591C2×C4×C37—21no—
592C2×C4×C37—21no—
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—44no—
617C2×C4×C37—44no—
618C2×C4×C37—44no—
619C2×C4×C37—44no—
620C2×C4×C37—44no—
621C2×C4×C37—44no—
622C2×C4×C37—82no—
623C2×C4×C37C2×#4112yes—
624C2×C4×C37C2×#4112yes—
625C2×C4×C37C2×#4112yes—
626C2×C4×C37C2×#4112yes—
627C2×C4×C37C2×#4112yes—
628C2×C4×C37C2×#4112yes—
629C2×C4×C37C2×#4112yes—
630C2×C4×C37H(5,𝔽2)12yes—
631C2×C4×C372−1+412yes—
632#35073C3711yesmaximal, characteristic, direct product factor, Sylow
633C22×C37—22no—
634C22×C37—22no—
635C22×C37—22no—
636C22×C37—22no—
637C22×C37—22no—
638C22×C37—22no—
639C22×C37—41no—
640C22×C37—41no—
641C22×C37—41no—
642C22×C37—41no—
643C22×C37—41no—
644C22×C37—41no—
645C22×C37—41no—
646C22×C37—41no—
647C22×C37—41no—
648C22×C37—41no—
649C22×C37—41no—
650C22×C37—41no—
651C22×C37—41no—
652C22×C37—41no—
653C22×C37—41no—
654C22×C37C22×#4111yescharacteristic
655C22×C37C22×#4111yescharacteristic
656C22×C37C22×#4111yescharacteristic
657C22×C37C2×H(5,𝔽2)11yescharacteristic
658C22×C37C2×2−1+411yescharacteristic
659C22×C37#58511yescharacteristic
660C22×C37#58511yescharacteristic
661C4×C37—22no—
662C4×C37—22no—
663C4×C37—22no—
664C4×C37—22no—
665C4×C37—22no—
666C4×C37—22no—
667C4×C37—22no—
668C4×C37—22no—
669C4×C37—22no—
670C4×C37—41no—
671C4×C37—41no—
672C4×C37—41no—
673C4×C37—41no—
674C4×C37—41no—
675C4×C37—41no—
676C4×C37—41no—
677C4×C37—41no—
678C4×C37—41no—
679C4×C37—41no—
680C4×C37—41no—
681C4×C37—41no—
682C4×C37—41no—
683C4×C37—41no—
684C4×C37—41no—
685C4×C37—41no—
686C4×C37—41no—
687C4×C37—41no—
688C4×C37—41no—
689#2866C2×C3711yescharacteristic, complemented
690#2863C2×C3711yescharacteristic, complemented
691#2855C2×C3711yescharacteristic, complemented
692#2852C2×C3711yescharacteristic, complemented
693#2665C2×C3711yescharacteristic, complemented
694#2663C2×C3711yescharacteristic, complemented
695#2638C2×C3711yescharacteristic, complemented
696#2630C2×C3711yescharacteristic
697#2586C2×C3711yescharacteristic, complemented
698#2573C2×C3711yescharacteristic, complemented
699#2572C2×C3711yescharacteristic, complemented
700#2556C2×C3711yescharacteristic, complemented
701#2524C2×C3711yescharacteristic, complemented
702#2523C2×C3711yescharacteristic, complemented
703#2523C2×C3711yescharacteristic, complemented
704#2521C2×C3711yescharacteristic, complemented
705#2518C2×C3711yescharacteristic, complemented
706#2469C2×C3711yescharacteristic, complemented
707#2466C2×C3711yescharacteristic, complemented
708#2466C2×C3711yescharacteristic, complemented
709#2465C2×C3711yescharacteristic, complemented
710#2463C2×C3711yescharacteristic
711#2460C2×C3711yescharacteristic, complemented
712#2459C2×C3711yescharacteristic
713#2337C2×C3711yescharacteristic, complemented
714#2336C2×C3711yescharacteristic, complemented
715#2334C2×C3711yescharacteristic, complemented
716#2332C2×C3711yescharacteristic, complemented
717C4×C22⋊Q8C2×C3711yescharacteristic, complemented
718C4×#123C2×C3711yescharacteristic, complemented
719C42×D4C2×C3711yescharacteristic, complemented
720C2×C37—42no—
721C2×C37—42no—
722C2×C37—81no—
723C2×C37#344411yescharacteristic
724C2×C37#345911yescharacteristic
725C2×C37#346111yescharacteristic
726C2×C37#351311yescharacteristic
727C2×C37#351811yescharacteristic
728C2×C37#352011yescharacteristic
729C2×C37#352111yescharacteristic
730C2×#126C22×C3711yescharacteristic
731C2×#126C22×C3711yescharacteristic
732C2×#125C22×C3711yescharacteristic
733C2×#124C22×C3711yescharacteristic
734C2×#123C22×C3711yescharacteristic
735C2×C22⋊Q8C22×C3711yescharacteristic
736C2×C22⋊Q8C22×C3711yescharacteristic
737C2×C22⋊Q8C22×C3711yescharacteristic
738C2×C4×Q8C22×C3711yescharacteristic
739C2×C4×D4C22×C3711yescharacteristic
740C2×C4×D4C22×C3711yescharacteristic
741C2×C4×D4C22×C3711yescharacteristic
742C2×C4×D4C22×C3711yescharacteristic
743C22×C42C22×C3711yescharacteristic
744C22×C42C22×C3711yescharacteristic
745#400C22×C3711yescharacteristic
746#400C22×C3711yescharacteristic
747#400C22×C3711yescharacteristic
748#399C22×C3711yescharacteristic
749#398C22×C3711yescharacteristic
750#398C22×C3711yescharacteristic
751#397C22×C3711yescharacteristic
752#397C22×C3711yescharacteristic
753#397C22×C3711yescharacteristic
754#397C22×C3711yescharacteristic
755#397C22×C3711yescharacteristic
756#397C22×C3711yescharacteristic
757#396C22×C3711yescharacteristic
758#396C22×C3711yescharacteristic
759#396C22×C3711yescharacteristic
760#396C22×C3711yescharacteristic
761#395C22×C3711yescharacteristic
762#395C22×C3711yescharacteristic
763#395C22×C3711yescharacteristic
764#395C22×C3711yescharacteristic
765#394C22×C3711yescharacteristic
766#394C22×C3711yescharacteristic
767#394C22×C3711yescharacteristic
768#394C22×C3711yescharacteristic
769#394C22×C3711yescharacteristic
770#394C22×C3711yescharacteristic
771#394C22×C3711yescharacteristic
772#393C22×C3711yescharacteristic
773#393C22×C3711yescharacteristic
774#393C22×C3711yescharacteristic
775#393C22×C3711yescharacteristic
776#392C22×C3711yescharacteristic
777#391C22×C3711yescharacteristic
778#391C22×C3711yescharacteristic
779#391C22×C3711yescharacteristic
780#391C22×C3711yescharacteristic
781#391C22×C3711yescharacteristic
782#391C22×C3711yescharacteristic
783#391C22×C3711yescharacteristic
784#391C22×C3711yescharacteristic
785#389C22×C3711yescharacteristic
786#389C22×C3711yescharacteristic
787#389C22×C3711yescharacteristic
788#389C22×C3711yescharacteristic
789#389C22×C3711yescharacteristic
790#389C22×C3711yescharacteristic
791#389C22×C3711yescharacteristic
792#389C22×C3711yescharacteristic
793#388C22×C3711yescharacteristic
794#388C22×C3711yescharacteristic
795#388C22×C3711yescharacteristic
796#388C22×C3711yescharacteristic
797#388C22×C3711yescharacteristic
798#388C22×C3711yescharacteristic
799#388C22×C3711yescharacteristic
800#388C22×C3711yescharacteristic
801#388C22×C3711yescharacteristic
802#388C22×C3711yescharacteristic
803#388C22×C3711yescharacteristic
804#388C22×C3711yescharacteristic
805#388C22×C3711yescharacteristic
806#388C22×C3711yescharacteristic
807#388C22×C3711yescharacteristic
808#388C22×C3711yescharacteristic
809#388C22×C3711yescharacteristic
810#388C22×C3711yescharacteristic
811#387C22×C3711yescharacteristic
812#387C22×C3711yescharacteristic
813#387C22×C3711yescharacteristic
814#387C22×C3711yescharacteristic
815#387C22×C3711yescharacteristic
816#387C22×C3711yescharacteristic
817#387C22×C3711yescharacteristic
818#387C22×C3711yescharacteristic
819#387C22×C3711yescharacteristic
820#387C22×C3711yescharacteristic
821#387C22×C3711yescharacteristic
822#387C22×C3711yescharacteristic
823#387C22×C3711yescharacteristic
824#387C22×C3711yescharacteristic
825#387C22×C3711yescharacteristic
826#387C22×C3711yescharacteristic
827#387C22×C3711yescharacteristic
828#387C22×C3711yescharacteristic
829#387C22×C3711yescharacteristic
830#387C22×C3711yescharacteristic
831#387C22×C3711yescharacteristic
832#387C22×C3711yescharacteristic
833#387C22×C3711yescharacteristic
834#387C22×C3711yescharacteristic
835#387C22×C3711yescharacteristic
836#387C22×C3711yescharacteristic
837#387C22×C3711yescharacteristic
838#387C22×C3711yescharacteristic
839#386C22×C3711yescharacteristic
840#386C22×C3711yescharacteristic
841#386C22×C3711yescharacteristic
842#386C22×C3711yescharacteristic
843#386C22×C3711yescharacteristic
844#385C22×C3711yescharacteristic
845#385C22×C3711yescharacteristic
846#385C22×C3711yescharacteristic
847#385C22×C3711yescharacteristic
848#385C22×C3711yescharacteristic
849#385C22×C3711yescharacteristic
850#385C22×C3711yescharacteristic
851#385C22×C3711yescharacteristic
852#385C22×C3711yescharacteristic
853#383C22×C3711yescharacteristic
854#383C22×C3711yescharacteristic
855#383C22×C3711yescharacteristic
856#383C22×C3711yescharacteristic
857#383C22×C3711yescharacteristic
858#382C22×C3711yescharacteristic
859#381C22×C3711yescharacteristic
860#381C22×C3711yescharacteristic
861#381C22×C3711yescharacteristic
862#381C22×C3711yescharacteristic
863#380C22×C3711yescharacteristic
864#380C22×C3711yescharacteristic
865C4×C4⋊C4C22×C3711yescharacteristic
866C4×C4⋊C4C22×C3711yescharacteristic
867C4×C4⋊C4C22×C3711yescharacteristic
868C4×C4⋊C4C22×C3711yescharacteristic
869C4×C4⋊C4C22×C3711yescharacteristic
870C4×C4⋊C4C22×C3711yescharacteristic
871C4×C4⋊C4C22×C3711yescharacteristic
872C4×C4⋊C4C22×C3711yescharacteristic
873C4×C22⋊C4C22×C3711yescharacteristic
874C4×C22⋊C4C22×C3711yescharacteristic
875C4×C22⋊C4C22×C3711yescharacteristic
876C4×C22⋊C4C22×C3711yescharacteristic
877C4×C22⋊C4C22×C3711yescharacteristic
878C4×C22⋊C4C22×C3711yescharacteristic
879C4×C22⋊C4C22×C3711yescharacteristic
880C4×C22⋊C4C22×C3711yescharacteristic
881C4×C22⋊C4C22×C3711yescharacteristic
882C4×C22⋊C4C22×C3711yescharacteristic
883C4×C22⋊C4C22×C3711yescharacteristic
884C43C22×C3711yescharacteristic
885C37#3507311yescharacteristic, direct product factor, Sylow
886C22×Q8C23×C3711yescharacteristic
887C22×Q8C23×C3711yescharacteristic
888C22×Q8C23×C3711yescharacteristic
889C22×D4C23×C3711yescharacteristic
890C22×D4C23×C3711yescharacteristic
891C22×D4C23×C3711yescharacteristic
892C23×C4C23×C3711yescharacteristic
893C23×C4C23×C3711yescharacteristic
894C23×C4C23×C3711yescharacteristic
895C23×C4C23×C3711yescharacteristic
896C23×C4C23×C3711yescharacteristic
897C23×C4C23×C3711yescharacteristic
898C23×C4C23×C3711yescharacteristic
899#126—24no—
900#126—42no—
901#125—24no—
902#124—24no—
903#123—24no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
906C22⋊Q8—42no—
907C4×Q8—42no—
908C4×D4—24no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—42no—
912C2×C4⋊C4C23×C3711yescharacteristic
913C2×C4⋊C4C23×C3711yescharacteristic
914C2×C4⋊C4C23×C3711yescharacteristic
915C2×C4⋊C4C23×C3711yescharacteristic
916C2×C4⋊C4C23×C3711yescharacteristic
917C2×C4⋊C4C23×C3711yescharacteristic
918C2×C4⋊C4C23×C3711yescharacteristic
919C2×C4⋊C4C23×C3711yescharacteristic
920C2×C4⋊C4C23×C3711yescharacteristic
921C2×C4⋊C4C23×C3711yescharacteristic
922C2×C4⋊C4C23×C3711yescharacteristic
923C2×C4⋊C4C23×C3711yescharacteristic
924C2×C4⋊C4C23×C3711yescharacteristic
925C2×C4⋊C4C23×C3711yescharacteristic
926C2×C4⋊C4C23×C3711yescharacteristic
927C2×C4⋊C4C23×C3711yescharacteristic
928C2×C4⋊C4C23×C3711yescharacteristic
929C2×C4⋊C4C23×C3711yescharacteristic
930C2×C4⋊C4C23×C3711yescharacteristic
931C2×C4⋊C4C23×C3711yescharacteristic
932C2×C4⋊C4C23×C3711yescharacteristic
933C2×C4⋊C4C23×C3711yescharacteristic
934C2×C4⋊C4C23×C3711yescharacteristic
935C2×C4⋊C4C23×C3711yescharacteristic
936C2×C4⋊C4C23×C3711yescharacteristic
937C2×C4⋊C4C23×C3711yescharacteristic
938C2×C4⋊C4C23×C3711yescharacteristic
939C2×C4⋊C4C23×C3711yescharacteristic
940C2×C4⋊C4C23×C3711yescharacteristic
941C2×C4⋊C4C23×C3711yescharacteristic
942C2×C4⋊C4C23×C3711yescharacteristic
943C2×C4⋊C4C23×C3711yescharacteristic
944C2×C4⋊C4C23×C3711yescharacteristic
945C2×C4⋊C4C23×C3711yescharacteristic
946C2×C22⋊C4C23×C3711yescharacteristic
947C2×C22⋊C4C23×C3711yescharacteristic
948C2×C22⋊C4C23×C3711yescharacteristic
949C2×C22⋊C4C23×C3711yescharacteristic
950C2×C22⋊C4C23×C3711yescharacteristic
951C2×C22⋊C4C23×C3711yescharacteristic
952C2×C22⋊C4C23×C3711yescharacteristic
953C2×C22⋊C4C23×C3711yescharacteristic
954C2×C22⋊C4C23×C3711yescharacteristic
955C2×C22⋊C4C23×C3711yescharacteristic
956C2×C22⋊C4C23×C3711yescharacteristic
957C2×C22⋊C4C23×C3711yescharacteristic
958C2×C22⋊C4C23×C3711yescharacteristic
959C2×C22⋊C4C23×C3711yescharacteristic
960C2×C22⋊C4C23×C3711yescharacteristic
961C2×C22⋊C4C23×C3711yescharacteristic
962C2×C22⋊C4C23×C3711yescharacteristic
963C2×C22⋊C4C23×C3711yescharacteristic
964C2×C22⋊C4C23×C3711yescharacteristic
965C2×C22⋊C4C23×C3711yescharacteristic
966C2×C22⋊C4C23×C3711yescharacteristic
967C2×C22⋊C4C23×C3711yescharacteristic
968C2×C22⋊C4C23×C3711yescharacteristic
969C2×C22⋊C4C23×C3711yescharacteristic
970C2×C22⋊C4C23×C3711yescharacteristic
971C2×C22⋊C4C23×C3711yescharacteristic
972C2×C22⋊C4C23×C3711yescharacteristic
973C2×C22⋊C4C23×C3711yescharacteristic
974C2×C22⋊C4C23×C3711yescharacteristic
975C2×C22⋊C4C23×C3711yescharacteristic
976C2×C22⋊C4C23×C3711yescharacteristic
977C2×C22⋊C4C23×C3711yescharacteristic
978C2×C42—42no—
979C2×C42—42no—
980C2×C42C23×C3711yescharacteristic
981C2×C42C23×C3711yescharacteristic
982C2×C42C23×C3711yescharacteristic
983C2×C42C23×C3711yescharacteristic
984C2×C42C23×C3711yescharacteristic
985C2×C42C23×C3711yescharacteristic
986C2×C42C23×C3711yescharacteristic
987C2×C42C23×C3711yescharacteristic
988C2×C42C23×C3711yescharacteristic
989C2×C42C23×C3711yescharacteristic
990C2×C42C23×C3711yescharacteristic
991C2×C42C23×C3711yescharacteristic
992C2×C42C23×C3711yescharacteristic
993C2×C42C23×C3711yescharacteristic
994C2×C42C23×C3711yescharacteristic
995C2×C42C23×C3711yescharacteristic
996C2×C42C23×C3711yescharacteristic
997C2×C42C23×C3711yescharacteristic
998C2×C42C23×C3711yescharacteristic
999C2×C42C23×C3711yescharacteristic
1000#95C23×C3711yescharacteristic
1001#95C23×C3711yescharacteristic
1002#95C23×C3711yescharacteristic
1003#95C23×C3711yescharacteristic
1004#95C23×C3711yescharacteristic
1005#95C23×C3711yescharacteristic
1006#95C23×C3711yescharacteristic
1007#95C23×C3711yescharacteristic
1008#95C23×C3711yescharacteristic
1009#95C23×C3711yescharacteristic
1010#95C23×C3711yescharacteristic
1011#95C23×C3711yescharacteristic
1012#95C23×C3711yescharacteristic
1013#95C23×C3711yescharacteristic
1014#95C23×C3711yescharacteristic
1015#95C23×C3711yescharacteristic
1016#95C23×C3711yescharacteristic
1017#95C23×C3711yescharacteristic
1018#95C23×C3711yescharacteristic
1019#95C23×C3711yescharacteristic
1020#95C23×C3711yescharacteristic
1021#95C23×C3711yescharacteristic
1022#95C23×C3711yescharacteristic
1023#95C23×C3711yescharacteristic
1024#95C23×C3711yescharacteristic
1025#95C23×C3711yescharacteristic
1026#95C23×C3711yescharacteristic
1027#95C23×C3711yescharacteristic
1028#95C23×C3711yescharacteristic
1029#95C23×C3711yescharacteristic
1030#95C23×C3711yescharacteristic
1031#95C23×C3711yescharacteristic
1032#95C23×C3711yescharacteristic
1033#95C23×C3711yescharacteristic
1034#95C23×C3711yescharacteristic
1035#95C23×C3711yescharacteristic
1036#95C23×C3711yescharacteristic
1037#95C23×C3711yescharacteristic
1038#95C23×C3711yescharacteristic
1039#95C23×C3711yescharacteristic
1040#95C23×C3711yescharacteristic
1041#95C23×C3711yescharacteristic
1042#95C23×C3711yescharacteristic
1043#95C23×C3711yescharacteristic
1044#95C23×C3711yescharacteristic
1045#95C23×C3711yescharacteristic
1046#95C23×C3711yescharacteristic
1047#95C23×C3711yescharacteristic
1048#95C23×C3711yescharacteristic
1049#95C23×C3711yescharacteristic
1050#95C23×C3711yescharacteristic
1051#95C23×C3711yescharacteristic
1052#95C23×C3711yescharacteristic
1053#95C23×C3711yescharacteristic
1054#95C23×C3711yescharacteristic
1055#95C23×C3711yescharacteristic
1056C24C24×C3711yescharacteristic
1057C24C24×C3711yescharacteristic
1058C24C24×C3711yescharacteristic
1059C2×Q8—22no—
1060C2×Q8—22no—
1061C2×Q8—22no—
1062C2×Q8—41no—
1063C2×Q8—41no—
1064C2×Q8—41no—
1065C2×Q8—41no—
1066C2×Q8—41no—
1067C2×Q8—41no—
1068C2×D4—22no—
1069C2×D4—22no—
1070C2×D4—22no—
1071C2×D4—22no—
1072C2×D4—22no—
1073C2×D4—41no—
1074C2×D4—41no—
1075C2×D4—41no—
1076C2×D4—41no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—41no—
1088C22×C4—41no—
1089C22×C4—41no—
1090C22×C4—41no—
1091C22×C4—41no—
1092C22×C4—41no—
1093C22×C4—41no—
1094C22×C4—41no—
1095C22×C4—41no—
1096C22×C4—41no—
1097C22×C4#41×C3714yes—
1098C22×C4C24×C3711yescharacteristic
1099C22×C4C24×C3711yescharacteristic
1100C22×C4C24×C3711yescharacteristic
1101C22×C4C24×C3711yescharacteristic
1102C22×C4C24×C3711yescharacteristic
1103C22×C4C24×C3711yescharacteristic
1104C22×C4C24×C3711yescharacteristic
1105C22×C4C24×C3711yescharacteristic
1106C22×C4C24×C3711yescharacteristic
1107C22×C4C24×C3711yescharacteristic
1108C22×C4C24×C3711yescharacteristic
1109C22×C4C24×C3711yescharacteristic
1110C22×C4C24×C3711yescharacteristic
1111C22×C4C24×C3711yescharacteristic
1112C22×C4C24×C3711yescharacteristic
1113C22×C4C24×C3711yescharacteristic
1114C22×C4C24×C3711yescharacteristic
1115C22×C4C24×C3711yescharacteristic
1116C22×C4C24×C3711yescharacteristic
1117C22×C4C24×C3711yescharacteristic
1118C22×C4C24×C3711yescharacteristic
1119C22×C4C24×C3711yescharacteristic
1120C22×C4C24×C3711yescharacteristic
1121C22×C4C24×C3711yescharacteristic
1122C22×C4C24×C3711yescharacteristic
1123C22×C4C24×C3711yescharacteristic
1124C22×C4C24×C3711yescharacteristic
1125C22×C4C24×C3711yescharacteristic
1126C4⋊C4—22no—
1127C4⋊C4—22no—
1128C4⋊C4—22no—
1129C4⋊C4—22no—
1130C4⋊C4—22no—
1131C4⋊C4—22no—
1132C4⋊C4—22no—
1133C4⋊C4—22no—
1134C4⋊C4—22no—
1135C4⋊C4—22no—
1136C4⋊C4—22no—
1137C4⋊C4—22no—
1138C4⋊C4—22no—
1139C4⋊C4—22no—
1140C4⋊C4—22no—
1141C4⋊C4—22no—
1142C4⋊C4—22no—
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—41no—
1148C4⋊C4—41no—
1149C4⋊C4—41no—
1150C4⋊C4—41no—
1151C4⋊C4—41no—
1152C4⋊C4—41no—
1153C4⋊C4—41no—
1154C4⋊C4—41no—
1155C4⋊C4—41no—
1156C4⋊C4—41no—
1157C4⋊C4—41no—
1158C4⋊C4—41no—
1159C4⋊C4#41×C3714yes—
1160C22⋊C4—22no—
1161C22⋊C4—22no—
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—22no—
1173C22⋊C4—22no—
1174C22⋊C4—22no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
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#41×C3714yes—
1192C42—22no—
1193C42—22no—
1194C42—22no—
1195C42—22no—
1196C42—22no—
1197C42—22no—
1198C42—22no—
1199C42—22no—
1200C42—22no—
1201C42—22no—
1202C42—41no—
1203C42—41no—
1204C42—41no—
1205C42—41no—
1206C42—41no—
1207C42—41no—
1208C42—41no—
1209C42—41no—
1210C42—41no—
1211C42—41no—
1212C23—21no—
1213C23—21no—
1214C23—21no—
1215C23—21no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—21no—
1221C23—21no—
1222C23—21no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—21no—
1230C23—21no—
1231C23C2×#41×C3712yes—
1232C23C2×#41×C3712yes—
1233C23C25×C3711yescharacteristic
1234Q8—44no—
1235Q8—82no—
1236Q8—82no—
1237D4—28no—
1238D4—44no—
1239D4—82no—
1240C2×C4—21no—
1241C2×C4—21no—
1242C2×C4—21no—
1243C2×C4—21no—
1244C2×C4—21no—
1245C2×C4—21no—
1246C2×C4—21no—
1247C2×C4—21no—
1248C2×C4—21no—
1249C2×C4—21no—
1250C2×C4—21no—
1251C2×C4—21no—
1252C2×C4—21no—
1253C2×C4—21no—
1254C2×C4—21no—
1255C2×C4—21no—
1256C2×C4—21no—
1257C2×C4—21no—
1258C2×C4—21no—
1259C2×C4—21no—
1260C2×C4—21no—
1261C2×C4—21no—
1262C2×C4—21no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—44no—
1316C2×C4—44no—
1317C2×C4—44no—
1318C2×C4—44no—
1319C2×C4—44no—
1320C2×C4—44no—
1321C2×C4—82no—
1322C2×C4C2×#41×C3712yes—
1323C2×C4C2×#41×C3712yes—
1324C2×C4C2×#41×C3712yes—
1325C2×C4C2×#41×C3712yes—
1326C2×C4C2×#41×C3712yes—
1327C2×C4C2×#41×C3712yes—
1328C2×C4C2×#41×C3712yes—
1329C2×C4H(5,𝔽2)×C3712yes—
1330C2×C42−1+4×C3712yes—
1331C22—22no—
1332C22—22no—
1333C22—22no—
1334C22—22no—
1335C22—22no—
1336C22—22no—
1337C22—41no—
1338C22—41no—
1339C22—41no—
1340C22—41no—
1341C22—41no—
1342C22—41no—
1343C22—41no—
1344C22—41no—
1345C22—41no—
1346C22—41no—
1347C22—41no—
1348C22—41no—
1349C22—41no—
1350C22—41no—
1351C22—41no—
1352C22C22×#41×C3711yescharacteristic
1353C22C22×#41×C3711yescharacteristic
1354C22C22×#41×C3711yescharacteristic
1355C22C2×H(5,𝔽2)×C3711yescharacteristic
1356C22C2×2−1+4×C3711yescharacteristic
1357C22C37×#58511yescharacteristic
1358C22C37×#58511yescharacteristic
1359C4—22no—
1360C4—22no—
1361C4—22no—
1362C4—22no—
1363C4—22no—
1364C4—22no—
1365C4—22no—
1366C4—22no—
1367C4—22no—
1368C4—41no—
1369C4—41no—
1370C4—41no—
1371C4—41no—
1372C4—41no—
1373C4—41no—
1374C4—41no—
1375C4—41no—
1376C4—41no—
1377C4—41no—
1378C4—41no—
1379C4—41no—
1380C4—41no—
1381C4—41no—
1382C4—41no—
1383C4—41no—
1384C4—41no—
1385C4—41no—
1386C4—41no—
1387C2—42no—
1388C2—42no—
1389C2—81no—
1390C2C37×#344411yescharacteristic
1391C2C37×#345911yescharacteristic
1392C2C37×#346111yescharacteristic
1393C2C37×#351311yescharacteristic
1394C2C37×#351811yescharacteristic
1395C2C37×#352011yescharacteristic
1396C2C37×#352111yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#392C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2866C2semidirect
2. C37×#2863C2semidirect
3. C37×#2855C2semidirect
4. C37×#2852C2semidirect
5. C37×#2665C2semidirect
6. C37×#2663C2semidirect
7. C37×#2638C2semidirect
9. C37×#2586C2semidirect
10. C37×#2573C2semidirect
11. C37×#2572C2semidirect
12. C37×#2556C2semidirect
13. C37×#2524C2semidirect
14. C37×#2523C2semidirect
15. C37×#2523C2semidirect
16. C37×#2521C2semidirect
17. C37×#2518C2semidirect
18. C37×#2469C2semidirect
19. C37×#2466C2semidirect
20. C37×#2466C2semidirect
21. C37×#2465C2semidirect
23. C37×#2460C2semidirect
25. C37×#2337C2semidirect
26. C37×#2336C2semidirect
27. C37×#2334C2semidirect
28. C37×#2332C2semidirect
29. C4×C22⋊Q8×C37C2semidirect
30. C4×#123×C37C2semidirect
31. C42×D4×C37C2semidirect
632. #35073C37direct (N × H)
689. #2866C2×C37semidirect
690. #2863C2×C37semidirect
691. #2855C2×C37semidirect
692. #2852C2×C37semidirect
693. #2665C2×C37semidirect
694. #2663C2×C37semidirect
695. #2638C2×C37semidirect
697. #2586C2×C37semidirect
698. #2573C2×C37semidirect
699. #2572C2×C37semidirect
700. #2556C2×C37semidirect
701. #2524C2×C37semidirect
702. #2523C2×C37semidirect
703. #2523C2×C37semidirect
704. #2521C2×C37semidirect
705. #2518C2×C37semidirect
706. #2469C2×C37semidirect
707. #2466C2×C37semidirect
708. #2466C2×C37semidirect
709. #2465C2×C37semidirect
711. #2460C2×C37semidirect
713. #2337C2×C37semidirect
714. #2336C2×C37semidirect
715. #2334C2×C37semidirect
716. #2332C2×C37semidirect
717. C4×C22⋊Q8C2×C37semidirect
718. C4×#123C2×C37semidirect
719. C42×D4C2×C37semidirect
885. C37#35073direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28662
C37×#28632
C37×#28552
C37×#28522
C37×#26652
C37×#26632
C37×#26382
C37×#26302
C37×#25862
C37×#25732
C37×#25722
C37×#25562
C37×#25242
C37×#25232
C37×#25212
C37×#25182
C37×#24692
C37×#24662
C37×#24652
C37×#24632
C37×#24602
C37×#24592
C37×#23372
C37×#23362
C37×#23342
C37×#23322
C4×C22⋊Q8×C372
C4×#123×C372
C42×D4×C372
#3507337