Finite Group Databasebeta

← C37×#36784 #22658037

Subgroups — C37×#36784 #22658037

Order 9472.

1736 conjugacy classes of subgroups.

The subgroup lattice has 1502 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2853C211yesmaximal, characteristic, complemented
2C37×#2850C211yesmaximal, characteristic, complemented
3C37×#2783C211yesmaximal, characteristic, complemented
4C37×#2779C211yesmaximal, characteristic, complemented
5C37×#2772C211yesmaximal, characteristic, complemented
6C37×#2757C211yesmaximal, characteristic, complemented
7C37×#2753C211yesmaximal, characteristic, complemented
8C37×#2744C211yesmaximal, characteristic, complemented
9C37×#2737C211yesmaximal, characteristic, complemented
10C37×#2735C211yesmaximal, characteristic, complemented
11C37×#2731C211yesmaximal, characteristic, complemented
12C37×#2701C211yesmaximal, characteristic, complemented
13C37×#2693C211yesmaximal, characteristic, complemented
14C37×#2687C211yesmaximal, characteristic, complemented
15C37×#2684C211yesmaximal, characteristic, complemented
16C37×#2684C211yesmaximal, characteristic, complemented
17C37×#2678C211yesmaximal, characteristic
18C37×#2674C211yesmaximal, characteristic, complemented
19C37×#2651C211yesmaximal, characteristic, complemented
20C37×#2650C211yesmaximal, characteristic, complemented
21C37×#2602C211yesmaximal, characteristic, complemented
22C37×#2595C211yesmaximal, characteristic, complemented
23C37×#2557C211yesmaximal, characteristic, complemented
24C37×#2534C211yesmaximal, characteristic, complemented
25C37×#2532C211yesmaximal, characteristic, complemented
26C37×#2531C211yesmaximal, characteristic, complemented
27C37×#2439C211yesmaximal, characteristic, complemented
28C37×#2411C211yesmaximal, characteristic, complemented
29C37×#2335C211yesmaximal, characteristic, complemented
30C37×#2312C211yesmaximal, characteristic, complemented
31C37×#2290C211yesmaximal, characteristic, complemented
32C2×C4⋊Q8×C37C2211yescharacteristic, complemented
33C2×#124×C37C2211yescharacteristic
34C2×#124×C37C2211yescharacteristic
35C2×#123×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic, complemented
39C2×C22⋊Q8×C37C2211yescharacteristic, complemented
40C2×#121×C37C2211yescharacteristic
41C2×#120×C37C2211yescharacteristic
42C2×#120×C37C2211yescharacteristic
43C2×C4×D4×C37C2211yescharacteristic
44C2×#117×C37C2211yescharacteristic
45C22×C22⋊C4×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic, complemented
47C37×#400C2211yescharacteristic, complemented
48C37×#400C2211yescharacteristic, complemented
49C37×#400C2211yescharacteristic, complemented
50C37×#400C2211yescharacteristic, complemented
51C37×#400C2211yescharacteristic, complemented
52C37×#399C2211yescharacteristic
53C37×#398C2211yescharacteristic, complemented
54C37×#398C2211yescharacteristic, complemented
55C37×#398C2211yescharacteristic, complemented
56C37×#398C2211yescharacteristic, complemented
57C37×#397C2211yescharacteristic
58C37×#397C2211yescharacteristic
59C37×#397C2211yescharacteristic
60C37×#397C2211yescharacteristic
61C37×#397C2211yescharacteristic
62C37×#397C2211yescharacteristic
63C37×#397C2211yescharacteristic
64C37×#397C2211yescharacteristic
65C37×#397C2211yescharacteristic, complemented
66C37×#397C2211yescharacteristic, complemented
67C37×#397C2211yescharacteristic, complemented
68C37×#397C2211yescharacteristic, complemented
69C37×#396C2211yescharacteristic
70C37×#396C2211yescharacteristic
71C37×#396C2211yescharacteristic
72C37×#396C2211yescharacteristic
73C37×#396C2211yescharacteristic
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic, complemented
77C37×#395C2211yescharacteristic, complemented
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#393C2211yescharacteristic
89C37×#393C2211yescharacteristic
90C37×#393C2211yescharacteristic
91C37×#393C2211yescharacteristic
92C37×#393C2211yescharacteristic, complemented
93C37×#392C2211yescharacteristic
94C37×#392C2211yescharacteristic
95C37×#391C2211yescharacteristic, complemented
96C37×#391C2211yescharacteristic, complemented
97C37×#391C2211yescharacteristic, complemented
98C37×#390C2211yescharacteristic
99C37×#390C2211yescharacteristic
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#390C2211yescharacteristic, complemented
103C37×#389C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#389C2211yescharacteristic, complemented
106C37×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
123C37×#388C2211yescharacteristic
124C37×#388C2211yescharacteristic
125C37×#388C2211yescharacteristic
126C37×#388C2211yescharacteristic
127C37×#388C2211yescharacteristic
128C37×#388C2211yescharacteristic
129C37×#388C2211yescharacteristic
130C37×#388C2211yescharacteristic, complemented
131C37×#388C2211yescharacteristic, complemented
132C37×#388C2211yescharacteristic, complemented
133C37×#388C2211yescharacteristic, complemented
134C37×#388C2211yescharacteristic, complemented
135C37×#388C2211yescharacteristic, complemented
136C37×#388C2211yescharacteristic, complemented
137C37×#387C2211yescharacteristic, complemented
138C37×#387C2211yescharacteristic, complemented
139C37×#387C2211yescharacteristic, complemented
140C37×#387C2211yescharacteristic, complemented
141C37×#387C2211yescharacteristic, complemented
142C37×#387C2211yescharacteristic, complemented
143C37×#387C2211yescharacteristic, complemented
144C37×#387C2211yescharacteristic, complemented
145C37×#387C2211yescharacteristic, complemented
146C37×#387C2211yescharacteristic, complemented
147C37×#387C2211yescharacteristic, complemented
148C37×#387C2211yescharacteristic, complemented
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#386C2211yescharacteristic
157C37×#386C2211yescharacteristic
158C37×#386C2211yescharacteristic
159C37×#386C2211yescharacteristic, complemented
160C37×#386C2211yescharacteristic, complemented
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic, complemented
163C37×#385C2211yescharacteristic, complemented
164C37×#385C2211yescharacteristic, complemented
165C37×#385C2211yescharacteristic, complemented
166C37×#385C2211yescharacteristic, complemented
167C37×#383C2211yescharacteristic, complemented
168C37×#382C2211yescharacteristic, complemented
169C37×#382C2211yescharacteristic, complemented
170C37×#381C2211yescharacteristic
171C37×#381C2211yescharacteristic, complemented
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic, complemented
176C37×#379C2211yescharacteristic
177C37×#379C2211yescharacteristic
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C4×C4⋊C4×C37C2211yescharacteristic, complemented
181C4×C4⋊C4×C37C2211yescharacteristic, complemented
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
185C4×C22⋊C4×C37C2211yescharacteristic, complemented
186C37×#376C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×Q8×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C4⋊Q8×C37—42no—
204#124×C37—42no—
205#124×C37—42no—
206#123×C37—24no—
207#123×C37—42no—
208#123×C37—42no—
209#123×C37—42no—
210C22⋊Q8×C37—42no—
211#121×C37—42no—
212#120×C37—42no—
213#120×C37—42no—
214C4×D4×C37—24no—
215#117×C37—42no—
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×C22⋊C4×C37—24no—
246C2×C22⋊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×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C42×C37—42no—
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
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×C37—22no—
358C24×C37—41no—
359C24×C37—41no—
360C24×C37—41no—
361C24×C37—41no—
362C24×C37—41no—
363C24×C37—41no—
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C24×C37C2411yescharacteristic
369C2×Q8×C37—22no—
370C2×Q8×C37—41no—
371C2×Q8×C37—41no—
372C2×Q8×C37—41no—
373C2×Q8×C37—41no—
374C2×Q8×C37—41no—
375C2×D4×C37—22no—
376C2×D4×C37—22no—
377C2×D4×C37—22no—
378C2×D4×C37—22no—
379C2×D4×C37—22no—
380C2×D4×C37—22no—
381C2×D4×C37—22no—
382C2×D4×C37—41no—
383C2×D4×C37—41no—
384C2×D4×C37—41no—
385C2×D4×C37—41no—
386C2×D4×C37—41no—
387C2×D4×C37—41no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37—41no—
393C2×D4×C37—41no—
394C2×D4×C37—41no—
395C2×D4×C37—41no—
396C22×C4×C37—22no—
397C22×C4×C37—22no—
398C22×C4×C37—22no—
399C22×C4×C37—22no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37—41no—
410C22×C4×C37—41no—
411C22×C4×C37—41no—
412C22×C4×C37—41no—
413C22×C4×C37#4114yes—
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
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C4⋊C4×C37—22no—
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—22no—
444C4⋊C4×C37—22no—
445C4⋊C4×C37—41no—
446C4⋊C4×C37—41no—
447C4⋊C4×C37—41no—
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—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37—41no—
464C4⋊C4×C37—41no—
465C4⋊C4×C37—41no—
466C4⋊C4×C37—41no—
467C4⋊C4×C37—41no—
468C4⋊C4×C37—41no—
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—22no—
481C22⋊C4×C37—22no—
482C22⋊C4×C37—22no—
483C22⋊C4×C37—22no—
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—41no—
493C22⋊C4×C37—41no—
494C22⋊C4×C37—41no—
495C22⋊C4×C37—41no—
496C22⋊C4×C37—41no—
497C22⋊C4×C37—41no—
498C22⋊C4×C37—41no—
499C22⋊C4×C37—41no—
500C22⋊C4×C37—41no—
501C22⋊C4×C37—41no—
502C22⋊C4×C37—41no—
503C22⋊C4×C37—41no—
504C22⋊C4×C37—41no—
505C22⋊C4×C37—41no—
506C22⋊C4×C37—41no—
507C22⋊C4×C37—41no—
508C22⋊C4×C37—41no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C42×C37—22no—
522C42×C37—22no—
523C42×C37—22no—
524C42×C37—41no—
525C42×C37—41no—
526C42×C37—41no—
527C42×C37—41no—
528C42×C37—41no—
529C42×C37—41no—
530C42×C37—41no—
531C42×C37—41no—
532C42×C37—41no—
533C23×C37—21no—
534C23×C37—21no—
535C23×C37—21no—
536C23×C37—21no—
537C23×C37—21no—
538C23×C37—21no—
539C23×C37—21no—
540C23×C37—21no—
541C23×C37—21no—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—44no—
567C23×C37—82no—
568C23×C37—82no—
569C23×C37—82no—
570C23×C37—82no—
571C23×C37—82no—
572C23×C37—82no—
573C23×C37C2×#4112yes—
574C23×C37H(5,𝔽2)12yes—
575C23×C37C2511yescharacteristic
576Q8×C37—82no—
577Q8×C37—82no—
578D4×C37—44no—
579D4×C37—82no—
580D4×C37—82no—
581D4×C37—82no—
582D4×C37—82no—
583D4×C37—82no—
584D4×C37—82no—
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—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—44no—
661C2×C4×C37—44no—
662C2×C4×C37—44no—
663C2×C4×C37—44no—
664C2×C4×C37—82no—
665C2×C4×C37—82no—
666C2×C4×C37C2×#4112yes—
667C2×C4×C37C2×#4112yes—
668C2×C4×C37H(5,𝔽2)12yes—
669#36784C3711yesmaximal, characteristic, direct product factor, Sylow
670C22×C37—22no—
671C22×C37—22no—
672C22×C37—22no—
673C22×C37—22no—
674C22×C37—22no—
675C22×C37—22no—
676C22×C37—41no—
677C22×C37—41no—
678C22×C37—41no—
679C22×C37—41no—
680C22×C37—41no—
681C22×C37—41no—
682C22×C37—41no—
683C22×C37—41no—
684C22×C37—41no—
685C22×C37—41no—
686C22×C37—41no—
687C22×C37—41no—
688C22×C37—41no—
689C22×C37—41no—
690C22×C37—41no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37—41no—
700C22×C37—41no—
701C22×C37—41no—
702C22×C37—41no—
703C22×C37—41no—
704C22×C37—41no—
705C22×C37—88no—
706C22×C37C22×#4111yescharacteristic
707C22×C37C2×H(5,𝔽2)11yescharacteristic
708C22×C37C2×H(5,𝔽2)11yescharacteristic
709C22×C37#58511yescharacteristic
710C22×C37#58511yescharacteristic
711C22×C37#58511yescharacteristic
712C22×C37#58511yescharacteristic
713C4×C37—22no—
714C4×C37—22no—
715C4×C37—22no—
716C4×C37—41no—
717C4×C37—41no—
718C4×C37—41no—
719C4×C37—41no—
720C4×C37—41no—
721C4×C37—41no—
722C4×C37—41no—
723C4×C37—41no—
724C4×C37—41no—
725C4×C37—41no—
726C4×C37—41no—
727C4×C37—41no—
728C4×C37—41no—
729C4×C37—41no—
730C4×C37—41no—
731C4×C37—41no—
732C4×C37—41no—
733C4×C37—41no—
734C4×C37—41no—
735C4×C37—41no—
736C4×C37—41no—
737C4×C37—41no—
738C4×C37—41no—
739#2853C2×C3711yescharacteristic, complemented
740#2850C2×C3711yescharacteristic, complemented
741#2783C2×C3711yescharacteristic, complemented
742#2779C2×C3711yescharacteristic, complemented
743#2772C2×C3711yescharacteristic, complemented
744#2757C2×C3711yescharacteristic, complemented
745#2753C2×C3711yescharacteristic, complemented
746#2744C2×C3711yescharacteristic, complemented
747#2737C2×C3711yescharacteristic, complemented
748#2735C2×C3711yescharacteristic, complemented
749#2731C2×C3711yescharacteristic, complemented
750#2701C2×C3711yescharacteristic, complemented
751#2693C2×C3711yescharacteristic, complemented
752#2687C2×C3711yescharacteristic, complemented
753#2684C2×C3711yescharacteristic, complemented
754#2684C2×C3711yescharacteristic, complemented
755#2678C2×C3711yescharacteristic
756#2674C2×C3711yescharacteristic, complemented
757#2651C2×C3711yescharacteristic, complemented
758#2650C2×C3711yescharacteristic, complemented
759#2602C2×C3711yescharacteristic, complemented
760#2595C2×C3711yescharacteristic, complemented
761#2557C2×C3711yescharacteristic, complemented
762#2534C2×C3711yescharacteristic, complemented
763#2532C2×C3711yescharacteristic, complemented
764#2531C2×C3711yescharacteristic, complemented
765#2439C2×C3711yescharacteristic, complemented
766#2411C2×C3711yescharacteristic, complemented
767#2335C2×C3711yescharacteristic, complemented
768#2312C2×C3711yescharacteristic, complemented
769#2290C2×C3711yescharacteristic, complemented
770C2×C37—42no—
771C2×C37—42no—
772C2×C37—81no—
773C2×C37—81no—
774C2×C37—81no—
775C2×C37#345511yescharacteristic
776C2×C37#349411yescharacteristic
777C2×C37#350511yescharacteristic
778C2×C37#353411yescharacteristic
779C2×C37#354011yescharacteristic
780C2×C37#354511yescharacteristic
781C2×C37#356611yescharacteristic
782C2×C4⋊Q8C22×C3711yescharacteristic, complemented
783C2×#124C22×C3711yescharacteristic
784C2×#124C22×C3711yescharacteristic
785C2×#123C22×C3711yescharacteristic
786C2×#123C22×C3711yescharacteristic
787C2×#123C22×C3711yescharacteristic
788C2×#123C22×C3711yescharacteristic, complemented
789C2×C22⋊Q8C22×C3711yescharacteristic, complemented
790C2×#121C22×C3711yescharacteristic
791C2×#120C22×C3711yescharacteristic
792C2×#120C22×C3711yescharacteristic
793C2×C4×D4C22×C3711yescharacteristic
794C2×#117C22×C3711yescharacteristic
795C22×C22⋊C4C22×C3711yescharacteristic
796C22×C42C22×C3711yescharacteristic, complemented
797#400C22×C3711yescharacteristic, complemented
798#400C22×C3711yescharacteristic, complemented
799#400C22×C3711yescharacteristic, complemented
800#400C22×C3711yescharacteristic, complemented
801#400C22×C3711yescharacteristic, complemented
802#399C22×C3711yescharacteristic
803#398C22×C3711yescharacteristic, complemented
804#398C22×C3711yescharacteristic, complemented
805#398C22×C3711yescharacteristic, complemented
806#398C22×C3711yescharacteristic, complemented
807#397C22×C3711yescharacteristic
808#397C22×C3711yescharacteristic
809#397C22×C3711yescharacteristic
810#397C22×C3711yescharacteristic
811#397C22×C3711yescharacteristic
812#397C22×C3711yescharacteristic
813#397C22×C3711yescharacteristic
814#397C22×C3711yescharacteristic
815#397C22×C3711yescharacteristic, complemented
816#397C22×C3711yescharacteristic, complemented
817#397C22×C3711yescharacteristic, complemented
818#397C22×C3711yescharacteristic, complemented
819#396C22×C3711yescharacteristic
820#396C22×C3711yescharacteristic
821#396C22×C3711yescharacteristic
822#396C22×C3711yescharacteristic
823#396C22×C3711yescharacteristic
824#396C22×C3711yescharacteristic
825#396C22×C3711yescharacteristic
826#396C22×C3711yescharacteristic, complemented
827#395C22×C3711yescharacteristic, complemented
828#394C22×C3711yescharacteristic
829#394C22×C3711yescharacteristic
830#394C22×C3711yescharacteristic
831#394C22×C3711yescharacteristic
832#394C22×C3711yescharacteristic
833#394C22×C3711yescharacteristic
834#394C22×C3711yescharacteristic
835#394C22×C3711yescharacteristic
836#394C22×C3711yescharacteristic
837#394C22×C3711yescharacteristic
838#393C22×C3711yescharacteristic
839#393C22×C3711yescharacteristic
840#393C22×C3711yescharacteristic
841#393C22×C3711yescharacteristic
842#393C22×C3711yescharacteristic, complemented
843#392C22×C3711yescharacteristic
844#392C22×C3711yescharacteristic
845#391C22×C3711yescharacteristic, complemented
846#391C22×C3711yescharacteristic, complemented
847#391C22×C3711yescharacteristic, complemented
848#390C22×C3711yescharacteristic
849#390C22×C3711yescharacteristic
850#390C22×C3711yescharacteristic
851#390C22×C3711yescharacteristic
852#390C22×C3711yescharacteristic, complemented
853#389C22×C3711yescharacteristic, complemented
854#389C22×C3711yescharacteristic, complemented
855#389C22×C3711yescharacteristic, complemented
856#389C22×C3711yescharacteristic, complemented
857#388C22×C3711yescharacteristic
858#388C22×C3711yescharacteristic
859#388C22×C3711yescharacteristic
860#388C22×C3711yescharacteristic
861#388C22×C3711yescharacteristic
862#388C22×C3711yescharacteristic
863#388C22×C3711yescharacteristic
864#388C22×C3711yescharacteristic
865#388C22×C3711yescharacteristic
866#388C22×C3711yescharacteristic
867#388C22×C3711yescharacteristic
868#388C22×C3711yescharacteristic
869#388C22×C3711yescharacteristic
870#388C22×C3711yescharacteristic
871#388C22×C3711yescharacteristic
872#388C22×C3711yescharacteristic
873#388C22×C3711yescharacteristic
874#388C22×C3711yescharacteristic
875#388C22×C3711yescharacteristic
876#388C22×C3711yescharacteristic
877#388C22×C3711yescharacteristic
878#388C22×C3711yescharacteristic
879#388C22×C3711yescharacteristic
880#388C22×C3711yescharacteristic, complemented
881#388C22×C3711yescharacteristic, complemented
882#388C22×C3711yescharacteristic, complemented
883#388C22×C3711yescharacteristic, complemented
884#388C22×C3711yescharacteristic, complemented
885#388C22×C3711yescharacteristic, complemented
886#388C22×C3711yescharacteristic, complemented
887#387C22×C3711yescharacteristic, complemented
888#387C22×C3711yescharacteristic, complemented
889#387C22×C3711yescharacteristic, complemented
890#387C22×C3711yescharacteristic, complemented
891#387C22×C3711yescharacteristic, complemented
892#387C22×C3711yescharacteristic, complemented
893#387C22×C3711yescharacteristic, complemented
894#387C22×C3711yescharacteristic, complemented
895#387C22×C3711yescharacteristic, complemented
896#387C22×C3711yescharacteristic, complemented
897#387C22×C3711yescharacteristic, complemented
898#387C22×C3711yescharacteristic, complemented
899#386C22×C3711yescharacteristic
900#386C22×C3711yescharacteristic
901#386C22×C3711yescharacteristic
902#386C22×C3711yescharacteristic
903#386C22×C3711yescharacteristic
904#386C22×C3711yescharacteristic
905#386C22×C3711yescharacteristic
906#386C22×C3711yescharacteristic
907#386C22×C3711yescharacteristic
908#386C22×C3711yescharacteristic
909#386C22×C3711yescharacteristic, complemented
910#386C22×C3711yescharacteristic, complemented
911#385C22×C3711yescharacteristic
912#385C22×C3711yescharacteristic, complemented
913#385C22×C3711yescharacteristic, complemented
914#385C22×C3711yescharacteristic, complemented
915#385C22×C3711yescharacteristic, complemented
916#385C22×C3711yescharacteristic, complemented
917#383C22×C3711yescharacteristic, complemented
918#382C22×C3711yescharacteristic, complemented
919#382C22×C3711yescharacteristic, complemented
920#381C22×C3711yescharacteristic
921#381C22×C3711yescharacteristic, complemented
922#380C22×C3711yescharacteristic
923#380C22×C3711yescharacteristic
924#380C22×C3711yescharacteristic
925#380C22×C3711yescharacteristic, complemented
926#379C22×C3711yescharacteristic
927#379C22×C3711yescharacteristic
928#379C22×C3711yescharacteristic
929#379C22×C3711yescharacteristic
930C4×C4⋊C4C22×C3711yescharacteristic, complemented
931C4×C4⋊C4C22×C3711yescharacteristic, complemented
932C4×C22⋊C4C22×C3711yescharacteristic
933C4×C22⋊C4C22×C3711yescharacteristic
934C4×C22⋊C4C22×C3711yescharacteristic, complemented
935C4×C22⋊C4C22×C3711yescharacteristic, complemented
936#376C22×C3711yescharacteristic, complemented
937C37#3678411yescharacteristic, direct product factor, Sylow
938C25C23×C3711yescharacteristic
939C22×Q8C23×C3711yescharacteristic
940C22×Q8C23×C3711yescharacteristic
941C22×D4C23×C3711yescharacteristic
942C22×D4C23×C3711yescharacteristic
943C22×D4C23×C3711yescharacteristic
944C22×D4C23×C3711yescharacteristic
945C22×D4C23×C3711yescharacteristic
946C22×D4C23×C3711yescharacteristic
947C22×D4C23×C3711yescharacteristic
948C23×C4C23×C3711yescharacteristic
949C23×C4C23×C3711yescharacteristic
950C23×C4C23×C3711yescharacteristic
951C23×C4C23×C3711yescharacteristic
952C23×C4C23×C3711yescharacteristic
953C23×C4C23×C3711yescharacteristic
954C4⋊Q8—42no—
955#124—42no—
956#124—42no—
957#123—24no—
958#123—42no—
959#123—42no—
960#123—42no—
961C22⋊Q8—42no—
962#121—42no—
963#120—42no—
964#120—42no—
965C4×D4—24no—
966#117—42no—
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C4⋊C4C23×C3711yescharacteristic
977C2×C4⋊C4C23×C3711yescharacteristic
978C2×C4⋊C4C23×C3711yescharacteristic
979C2×C4⋊C4C23×C3711yescharacteristic
980C2×C4⋊C4C23×C3711yescharacteristic
981C2×C4⋊C4C23×C3711yescharacteristic
982C2×C4⋊C4C23×C3711yescharacteristic
983C2×C4⋊C4C23×C3711yescharacteristic
984C2×C4⋊C4C23×C3711yescharacteristic
985C2×C4⋊C4C23×C3711yescharacteristic
986C2×C4⋊C4C23×C3711yescharacteristic
987C2×C4⋊C4C23×C3711yescharacteristic
988C2×C4⋊C4C23×C3711yescharacteristic
989C2×C4⋊C4C23×C3711yescharacteristic
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×C4⋊C4C23×C3711yescharacteristic
994C2×C4⋊C4C23×C3711yescharacteristic
995C2×C4⋊C4C23×C3711yescharacteristic
996C2×C22⋊C4—24no—
997C2×C22⋊C4C23×C3711yescharacteristic
998C2×C22⋊C4C23×C3711yescharacteristic
999C2×C22⋊C4C23×C3711yescharacteristic
1000C2×C22⋊C4C23×C3711yescharacteristic
1001C2×C22⋊C4C23×C3711yescharacteristic
1002C2×C22⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4C23×C3711yescharacteristic
1004C2×C22⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C22⋊C4C23×C3711yescharacteristic
1026C2×C22⋊C4C23×C3711yescharacteristic
1027C2×C22⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C22⋊C4C23×C3711yescharacteristic
1032C2×C22⋊C4C23×C3711yescharacteristic
1033C2×C22⋊C4C23×C3711yescharacteristic
1034C2×C22⋊C4C23×C3711yescharacteristic
1035C2×C22⋊C4C23×C3711yescharacteristic
1036C2×C22⋊C4C23×C3711yescharacteristic
1037C2×C22⋊C4C23×C3711yescharacteristic
1038C2×C22⋊C4C23×C3711yescharacteristic
1039C2×C22⋊C4C23×C3711yescharacteristic
1040C2×C22⋊C4C23×C3711yescharacteristic
1041C2×C22⋊C4C23×C3711yescharacteristic
1042C2×C22⋊C4C23×C3711yescharacteristic
1043C2×C22⋊C4C23×C3711yescharacteristic
1044C2×C22⋊C4C23×C3711yescharacteristic
1045C2×C22⋊C4C23×C3711yescharacteristic
1046C2×C22⋊C4C23×C3711yescharacteristic
1047C2×C22⋊C4C23×C3711yescharacteristic
1048C2×C22⋊C4C23×C3711yescharacteristic
1049C2×C42—42no—
1050C2×C42C23×C3711yescharacteristic
1051C2×C42C23×C3711yescharacteristic
1052C2×C42C23×C3711yescharacteristic
1053C2×C42C23×C3711yescharacteristic
1054C2×C42C23×C3711yescharacteristic
1055C2×C42C23×C3711yescharacteristic
1056C2×C42C23×C3711yescharacteristic
1057C2×C42C23×C3711yescharacteristic
1058C2×C42C23×C3711yescharacteristic
1059C2×C42C23×C3711yescharacteristic
1060C2×C42C23×C3711yescharacteristic
1061C2×C42C23×C3711yescharacteristic
1062#95C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102#95C23×C3711yescharacteristic
1103#95C23×C3711yescharacteristic
1104#95C23×C3711yescharacteristic
1105#95C23×C3711yescharacteristic
1106#95C23×C3711yescharacteristic
1107#95C23×C3711yescharacteristic
1108C24—22no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24—41no—
1114C24—41no—
1115C24C24×C3711yescharacteristic
1116C24C24×C3711yescharacteristic
1117C24C24×C3711yescharacteristic
1118C24C24×C3711yescharacteristic
1119C24C24×C3711yescharacteristic
1120C2×Q8—22no—
1121C2×Q8—41no—
1122C2×Q8—41no—
1123C2×Q8—41no—
1124C2×Q8—41no—
1125C2×Q8—41no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4#41×C3714yes—
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C22×C4C24×C3711yescharacteristic
1171C22×C4C24×C3711yescharacteristic
1172C22×C4C24×C3711yescharacteristic
1173C22×C4C24×C3711yescharacteristic
1174C22×C4C24×C3711yescharacteristic
1175C22×C4C24×C3711yescharacteristic
1176C22×C4C24×C3711yescharacteristic
1177C22×C4C24×C3711yescharacteristic
1178C22×C4C24×C3711yescharacteristic
1179C22×C4C24×C3711yescharacteristic
1180C22×C4C24×C3711yescharacteristic
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C22×C4C24×C3711yescharacteristic
1185C22×C4C24×C3711yescharacteristic
1186C22×C4C24×C3711yescharacteristic
1187C22×C4C24×C3711yescharacteristic
1188C22×C4C24×C3711yescharacteristic
1189C22×C4C24×C3711yescharacteristic
1190C22×C4C24×C3711yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C4⋊C4—41no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—21no—
1317C23—44no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23—82no—
1324C23C2×#41×C3712yes—
1325C23H(5,𝔽2)×C3712yes—
1326C23C25×C3711yescharacteristic
1327Q8—82no—
1328Q8—82no—
1329D4—44no—
1330D4—82no—
1331D4—82no—
1332D4—82no—
1333D4—82no—
1334D4—82no—
1335D4—82no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—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—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—82no—
1416C2×C4—82no—
1417C2×C4C2×#41×C3712yes—
1418C2×C4C2×#41×C3712yes—
1419C2×C4H(5,𝔽2)×C3712yes—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—22no—
1425C22—22no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—88no—
1456C22C22×#41×C3711yescharacteristic
1457C22C2×H(5,𝔽2)×C3711yescharacteristic
1458C22C2×H(5,𝔽2)×C3711yescharacteristic
1459C22C37×#58511yescharacteristic
1460C22C37×#58511yescharacteristic
1461C22C37×#58511yescharacteristic
1462C22C37×#58511yescharacteristic
1463C4—22no—
1464C4—22no—
1465C4—22no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C2—42no—
1490C2—42no—
1491C2—81no—
1492C2—81no—
1493C2—81no—
1494C2C37×#345511yescharacteristic
1495C2C37×#349411yescharacteristic
1496C2C37×#350511yescharacteristic
1497C2C37×#353411yescharacteristic
1498C2C37×#354011yescharacteristic
1499C2C37×#354511yescharacteristic
1500C2C37×#356611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2853C2semidirect
2. C37×#2850C2semidirect
3. C37×#2783C2semidirect
4. C37×#2779C2semidirect
5. C37×#2772C2semidirect
6. C37×#2757C2semidirect
7. C37×#2753C2semidirect
8. C37×#2744C2semidirect
9. C37×#2737C2semidirect
10. C37×#2735C2semidirect
11. C37×#2731C2semidirect
12. C37×#2701C2semidirect
13. C37×#2693C2semidirect
14. C37×#2687C2semidirect
15. C37×#2684C2semidirect
16. C37×#2684C2semidirect
18. C37×#2674C2semidirect
19. C37×#2651C2semidirect
20. C37×#2650C2semidirect
21. C37×#2602C2semidirect
22. C37×#2595C2semidirect
23. C37×#2557C2semidirect
24. C37×#2534C2semidirect
25. C37×#2532C2semidirect
26. C37×#2531C2semidirect
27. C37×#2439C2semidirect
28. C37×#2411C2semidirect
29. C37×#2335C2semidirect
30. C37×#2312C2semidirect
31. C37×#2290C2semidirect
32. C2×C4⋊Q8×C37C22semidirect
38. C2×#123×C37C22semidirect
39. C2×C22⋊Q8×C37C22semidirect
46. C22×C42×C37C22semidirect
47. C37×#400C22semidirect
48. C37×#400C22semidirect
49. C37×#400C22semidirect
50. C37×#400C22semidirect
51. C37×#400C22semidirect
53. C37×#398C22semidirect
54. C37×#398C22semidirect
55. C37×#398C22semidirect
56. C37×#398C22semidirect
65. C37×#397C22semidirect
66. C37×#397C22semidirect
67. C37×#397C22semidirect
68. C37×#397C22semidirect
76. C37×#396C22semidirect
77. C37×#395C22semidirect
92. C37×#393C22semidirect
95. C37×#391C22semidirect
96. C37×#391C22semidirect
97. C37×#391C22semidirect
102. C37×#390C22semidirect
103. C37×#389C22semidirect
104. C37×#389C22semidirect
105. C37×#389C22semidirect
106. C37×#389C22semidirect
130. C37×#388C22semidirect
131. C37×#388C22semidirect
132. C37×#388C22semidirect
133. C37×#388C22semidirect
134. C37×#388C22semidirect
135. C37×#388C22semidirect
136. C37×#388C22semidirect
137. C37×#387C22semidirect
138. C37×#387C22semidirect
139. C37×#387C22semidirect
140. C37×#387C22semidirect
141. C37×#387C22semidirect
142. C37×#387C22semidirect
143. C37×#387C22semidirect
144. C37×#387C22semidirect
145. C37×#387C22semidirect
146. C37×#387C22semidirect
147. C37×#387C22semidirect
148. C37×#387C22semidirect
159. C37×#386C22semidirect
160. C37×#386C22semidirect
162. C37×#385C22semidirect
163. C37×#385C22semidirect
164. C37×#385C22semidirect
165. C37×#385C22semidirect
166. C37×#385C22semidirect
167. C37×#383C22semidirect
168. C37×#382C22semidirect
169. C37×#382C22semidirect
171. C37×#381C22semidirect
175. C37×#380C22semidirect
180. C4×C4⋊C4×C37C22semidirect
181. C4×C4⋊C4×C37C22semidirect
184. C4×C22⋊C4×C37C22semidirect
185. C4×C22⋊C4×C37C22semidirect
186. C37×#376C22semidirect
669. #36784C37direct (N × H)
739. #2853C2×C37semidirect
740. #2850C2×C37semidirect
741. #2783C2×C37semidirect
742. #2779C2×C37semidirect
743. #2772C2×C37semidirect
744. #2757C2×C37semidirect
745. #2753C2×C37semidirect
746. #2744C2×C37semidirect
747. #2737C2×C37semidirect
748. #2735C2×C37semidirect
749. #2731C2×C37semidirect
750. #2701C2×C37semidirect
751. #2693C2×C37semidirect
752. #2687C2×C37semidirect
753. #2684C2×C37semidirect
754. #2684C2×C37semidirect
756. #2674C2×C37semidirect
757. #2651C2×C37semidirect
758. #2650C2×C37semidirect
759. #2602C2×C37semidirect
760. #2595C2×C37semidirect
761. #2557C2×C37semidirect
762. #2534C2×C37semidirect
763. #2532C2×C37semidirect
764. #2531C2×C37semidirect
765. #2439C2×C37semidirect
766. #2411C2×C37semidirect
767. #2335C2×C37semidirect
768. #2312C2×C37semidirect
769. #2290C2×C37semidirect
782. C2×C4⋊Q8C22×C37semidirect
788. C2×#123C22×C37semidirect
789. C2×C22⋊Q8C22×C37semidirect
796. C22×C42C22×C37semidirect
797. #400C22×C37semidirect
798. #400C22×C37semidirect
799. #400C22×C37semidirect
800. #400C22×C37semidirect
801. #400C22×C37semidirect
803. #398C22×C37semidirect
804. #398C22×C37semidirect
805. #398C22×C37semidirect
806. #398C22×C37semidirect
815. #397C22×C37semidirect
816. #397C22×C37semidirect
817. #397C22×C37semidirect
818. #397C22×C37semidirect
826. #396C22×C37semidirect
827. #395C22×C37semidirect
842. #393C22×C37semidirect
845. #391C22×C37semidirect
846. #391C22×C37semidirect
847. #391C22×C37semidirect
852. #390C22×C37semidirect
853. #389C22×C37semidirect
854. #389C22×C37semidirect
855. #389C22×C37semidirect
856. #389C22×C37semidirect
880. #388C22×C37semidirect
881. #388C22×C37semidirect
882. #388C22×C37semidirect
883. #388C22×C37semidirect
884. #388C22×C37semidirect
885. #388C22×C37semidirect
886. #388C22×C37semidirect
887. #387C22×C37semidirect
888. #387C22×C37semidirect
889. #387C22×C37semidirect
890. #387C22×C37semidirect
891. #387C22×C37semidirect
892. #387C22×C37semidirect
893. #387C22×C37semidirect
894. #387C22×C37semidirect
895. #387C22×C37semidirect
896. #387C22×C37semidirect
897. #387C22×C37semidirect
898. #387C22×C37semidirect
909. #386C22×C37semidirect
910. #386C22×C37semidirect
912. #385C22×C37semidirect
913. #385C22×C37semidirect
914. #385C22×C37semidirect
915. #385C22×C37semidirect
916. #385C22×C37semidirect
917. #383C22×C37semidirect
918. #382C22×C37semidirect
919. #382C22×C37semidirect
921. #381C22×C37semidirect
925. #380C22×C37semidirect
930. C4×C4⋊C4C22×C37semidirect
931. C4×C4⋊C4C22×C37semidirect
934. C4×C22⋊C4C22×C37semidirect
935. C4×C22⋊C4C22×C37semidirect
936. #376C22×C37semidirect
937. C37#36784direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28532
C37×#28502
C37×#27832
C37×#27792
C37×#27722
C37×#27572
C37×#27532
C37×#27442
C37×#27372
C37×#27352
C37×#27312
C37×#27012
C37×#26932
C37×#26872
C37×#26842
C37×#26782
C37×#26742
C37×#26512
C37×#26502
C37×#26022
C37×#25952
C37×#25572
C37×#25342
C37×#25322
C37×#25312
C37×#24392
C37×#24112
C37×#23352
C37×#23122
C37×#22902
#3678437