Finite Group Databasebeta

← C37×#36780 #22658033

Subgroups — C37×#36780 #22658033

Order 9472.

1742 conjugacy classes of subgroups.

The subgroup lattice has 1460 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2852C211yesmaximal, characteristic, complemented
2C37×#2851C211yesmaximal, characteristic, complemented
3C37×#2786C211yesmaximal, characteristic, complemented
4C37×#2782C211yesmaximal, characteristic, complemented
5C37×#2770C211yesmaximal, characteristic, complemented
6C37×#2770C211yesmaximal, characteristic, complemented
7C37×#2747C211yesmaximal, characteristic, complemented
8C37×#2746C211yesmaximal, characteristic, complemented
9C37×#2745C211yesmaximal, characteristic, complemented
10C37×#2744C211yesmaximal, characteristic, complemented
11C37×#2744C211yesmaximal, characteristic, complemented
12C37×#2743C211yesmaximal, characteristic, complemented
13C37×#2738C211yesmaximal, characteristic, complemented
14C37×#2737C211yesmaximal, characteristic, complemented
15C37×#2723C211yesmaximal, characteristic, complemented
16C37×#2695C211yesmaximal, characteristic, complemented
17C37×#2694C211yesmaximal, characteristic, complemented
18C37×#2690C211yesmaximal, characteristic, complemented
19C37×#2627C211yesmaximal, characteristic, complemented
20C37×#2623C211yesmaximal, characteristic, complemented
21C37×#2505C211yesmaximal, characteristic, complemented
22C37×#2493C211yesmaximal, characteristic, complemented
23C37×#2483C211yesmaximal, characteristic, complemented
24C37×#2450C211yesmaximal, characteristic, complemented
25C37×#2437C211yesmaximal, characteristic, complemented
26C37×#2419C211yesmaximal, characteristic, complemented
27C37×#2412C211yesmaximal, characteristic
28C37×#2412C211yesmaximal, characteristic
29C37×#2321C211yesmaximal, characteristic
30C37×#2315C211yesmaximal, characteristic, complemented
31C2×C37×#388C211yesmaximal, characteristic, complemented
32C2×#126×C37C2211yescharacteristic, complemented
33C2×#125×C37C2211yescharacteristic, complemented
34C2×#123×C37C2211yescharacteristic
35C2×#123×C37C2211yescharacteristic
36C2×C22⋊Q8×C37C2211yescharacteristic
37C2×C22⋊Q8×C37C2211yescharacteristic
38C2×#120×C37C2211yescharacteristic
39C2×C4×D4×C37C2211yescharacteristic
40C22×C4⋊C4×C37C2211yescharacteristic
41C22×C22⋊C4×C37C2211yescharacteristic
42C22×C22⋊C4×C37C2211yescharacteristic
43C22×C22⋊C4×C37C2211yescharacteristic
44C22×C22⋊C4×C37C2211yescharacteristic
45C22×C22⋊C4×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic
47C37×#401C2211yescharacteristic, complemented
48C37×#400C2211yescharacteristic, complemented
49C37×#400C2211yescharacteristic, complemented
50C37×#400C2211yescharacteristic, complemented
51C37×#400C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#400C2211yescharacteristic, complemented
56C37×#400C2211yescharacteristic, complemented
57C37×#400C2211yescharacteristic, complemented
58C37×#400C2211yescharacteristic, complemented
59C37×#400C2211yescharacteristic, complemented
60C37×#399C2211yescharacteristic
61C37×#399C2211yescharacteristic, complemented
62C37×#399C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#398C2211yescharacteristic, complemented
69C37×#398C2211yescharacteristic, complemented
70C37×#398C2211yescharacteristic, complemented
71C37×#398C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic
73C37×#397C2211yescharacteristic
74C37×#397C2211yescharacteristic
75C37×#397C2211yescharacteristic
76C37×#397C2211yescharacteristic
77C37×#397C2211yescharacteristic
78C37×#397C2211yescharacteristic
79C37×#397C2211yescharacteristic
80C37×#397C2211yescharacteristic, complemented
81C37×#397C2211yescharacteristic, complemented
82C37×#397C2211yescharacteristic, complemented
83C37×#397C2211yescharacteristic, complemented
84C37×#396C2211yescharacteristic
85C37×#396C2211yescharacteristic
86C37×#396C2211yescharacteristic, complemented
87C37×#395C2211yescharacteristic, complemented
88C37×#395C2211yescharacteristic, complemented
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#394C2211yescharacteristic
93C37×#393C2211yescharacteristic
94C37×#393C2211yescharacteristic, complemented
95C37×#391C2211yescharacteristic, complemented
96C37×#390C2211yescharacteristic
97C37×#390C2211yescharacteristic
98C37×#389C2211yescharacteristic, complemented
99C37×#389C2211yescharacteristic, complemented
100C37×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
114C37×#388C2211yescharacteristic, complemented
115C37×#388C2211yescharacteristic, complemented
116C37×#387C2211yescharacteristic, complemented
117C37×#387C2211yescharacteristic, complemented
118C37×#387C2211yescharacteristic, complemented
119C37×#387C2211yescharacteristic, complemented
120C37×#387C2211yescharacteristic, complemented
121C37×#387C2211yescharacteristic, complemented
122C37×#387C2211yescharacteristic, complemented
123C37×#387C2211yescharacteristic, complemented
124C37×#387C2211yescharacteristic, complemented
125C37×#387C2211yescharacteristic, complemented
126C37×#387C2211yescharacteristic, complemented
127C37×#387C2211yescharacteristic, complemented
128C37×#387C2211yescharacteristic, complemented
129C37×#387C2211yescharacteristic, complemented
130C37×#387C2211yescharacteristic, complemented
131C37×#386C2211yescharacteristic
132C37×#386C2211yescharacteristic
133C37×#386C2211yescharacteristic
134C37×#386C2211yescharacteristic
135C37×#386C2211yescharacteristic
136C37×#386C2211yescharacteristic
137C37×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#385C2211yescharacteristic
143C37×#385C2211yescharacteristic
144C37×#385C2211yescharacteristic
145C37×#385C2211yescharacteristic
146C37×#385C2211yescharacteristic
147C37×#385C2211yescharacteristic
148C37×#385C2211yescharacteristic
149C37×#385C2211yescharacteristic
150C37×#385C2211yescharacteristic
151C37×#385C2211yescharacteristic
152C37×#385C2211yescharacteristic
153C37×#385C2211yescharacteristic
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic, complemented
160C37×#385C2211yescharacteristic, complemented
161C37×#383C2211yescharacteristic, complemented
162C37×#383C2211yescharacteristic, complemented
163C37×#382C2211yescharacteristic, complemented
164C37×#382C2211yescharacteristic, complemented
165C37×#381C2211yescharacteristic
166C37×#381C2211yescharacteristic
167C37×#381C2211yescharacteristic
168C37×#381C2211yescharacteristic
169C37×#381C2211yescharacteristic
170C37×#381C2211yescharacteristic
171C37×#381C2211yescharacteristic, complemented
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#380C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C37×#380C2211yescharacteristic
181C37×#380C2211yescharacteristic
182C37×#380C2211yescharacteristic, complemented
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37C2311yescharacteristic
193C23×C4×C37C2311yescharacteristic
194C23×C4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203#126×C37—42no—
204#125×C37—42no—
205#123×C37—42no—
206#123×C37—42no—
207C22⋊Q8×C37—42no—
208C22⋊Q8×C37—42no—
209#120×C37—24no—
210C4×D4×C37—42no—
211C2×C4⋊C4×C37—42no—
212C2×C4⋊C4×C37C2311yescharacteristic
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×C4⋊C4×C37C2311yescharacteristic
248C2×C22⋊C4×C37—24no—
249C2×C22⋊C4×C37—24no—
250C2×C22⋊C4×C37—42no—
251C2×C22⋊C4×C37—42no—
252C2×C22⋊C4×C37—42no—
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×C42×C37—42no—
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×C37—22no—
358C24×C37—22no—
359C24×C37—41no—
360C24×C37—41no—
361C24×C37—41no—
362C24×C37—41no—
363C24×C37#4114yes—
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C2×Q8×C37—41no—
369C2×Q8×C37—41no—
370C2×Q8×C37—41no—
371C2×D4×C37—22no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—22no—
375C2×D4×C37—22no—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
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—22no—
389C22×C4×C37—22no—
390C22×C4×C37—22no—
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—41no—
399C22×C4×C37—41no—
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×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
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—41no—
444C4⋊C4×C37—41no—
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—
469C4⋊C4×C37—41no—
470C4⋊C4×C37—41no—
471C4⋊C4×C37—41no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
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—22no—
485C22⋊C4×C37—22no—
486C22⋊C4×C37—22no—
487C22⋊C4×C37—22no—
488C22⋊C4×C37—22no—
489C22⋊C4×C37—22no—
490C22⋊C4×C37—22no—
491C22⋊C4×C37—22no—
492C22⋊C4×C37—22no—
493C22⋊C4×C37—22no—
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—
516C42×C37—22no—
517C42×C37—22no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
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×C37—21no—
533C23×C37—21no—
534C23×C37—21no—
535C23×C37—21no—
536C23×C37—21no—
537C23×C37—21no—
538C23×C37—21no—
539C23×C37—28no—
540C23×C37—21no—
541C23×C37—21no—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—44no—
548C23×C37—44no—
549C23×C37—82no—
550C23×C37—82no—
551C23×C37—82no—
552C23×C37—82no—
553C23×C37C2×#4112yes—
554C23×C37C2×#4112yes—
555C23×C37C2×#4112yes—
556C23×C37H(5,𝔽2)12yes—
557C23×C372−1+412yes—
558C23×C37C2511yescharacteristic
559Q8×C37—82no—
560D4×C37—44no—
561D4×C37—82no—
562D4×C37—82no—
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—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—44no—
644C2×C4×C37—44no—
645C2×C4×C37—44no—
646C2×C4×C37—44no—
647C2×C4×C37—82no—
648C2×C4×C37—82no—
649C2×C4×C37—82no—
650C2×C4×C37—82no—
651C2×C4×C37—82no—
652C2×C4×C37—82no—
653C2×C4×C37—82no—
654C2×C4×C37H(5,𝔽2)12yes—
655#36780C3711yesmaximal, characteristic, direct product factor, Sylow
656C22×C37—22no—
657C22×C37—22no—
658C22×C37—22no—
659C22×C37—22no—
660C22×C37—22no—
661C22×C37—22no—
662C22×C37—22no—
663C22×C37—22no—
664C22×C37—22no—
665C22×C37—22no—
666C22×C37—22no—
667C22×C37—22no—
668C22×C37—41no—
669C22×C37—41no—
670C22×C37—41no—
671C22×C37—41no—
672C22×C37—41no—
673C22×C37—41no—
674C22×C37—41no—
675C22×C37—41no—
676C22×C37—41no—
677C22×C37—41no—
678C22×C37—41no—
679C22×C37—41no—
680C22×C37—41no—
681C22×C37—41no—
682C22×C37—41no—
683C22×C37—88no—
684C22×C37#53914yes—
685C22×C37C22×#4111yescharacteristic
686C22×C37C2×H(5,𝔽2)11yescharacteristic
687C22×C37C2×H(5,𝔽2)11yescharacteristic
688C22×C37C2×2−1+411yescharacteristic
689C22×C37#58511yescharacteristic
690C22×C37#58511yescharacteristic
691C22×C37#58511yescharacteristic
692C4×C37—22no—
693C4×C37—41no—
694C4×C37—41no—
695C4×C37—41no—
696C4×C37—41no—
697C4×C37—41no—
698C4×C37—41no—
699C4×C37—41no—
700C4×C37—41no—
701C4×C37—41no—
702C4×C37—41no—
703C4×C37—41no—
704C4×C37—41no—
705C4×C37—41no—
706C4×C37—41no—
707C4×C37—41no—
708C4×C37—41no—
709C4×C37—41no—
710C4×C37—41no—
711C4×C37—41no—
712C4×C37—41no—
713C4×C37—41no—
714C4×C37—41no—
715C4×C37—41no—
716C4×C37—41no—
717C4×C37—41no—
718C4×C37—41no—
719#2852C2×C3711yescharacteristic, complemented
720#2851C2×C3711yescharacteristic, complemented
721#2786C2×C3711yescharacteristic, complemented
722#2782C2×C3711yescharacteristic, complemented
723#2770C2×C3711yescharacteristic, complemented
724#2770C2×C3711yescharacteristic, complemented
725#2747C2×C3711yescharacteristic, complemented
726#2746C2×C3711yescharacteristic, complemented
727#2745C2×C3711yescharacteristic, complemented
728#2744C2×C3711yescharacteristic, complemented
729#2744C2×C3711yescharacteristic, complemented
730#2743C2×C3711yescharacteristic, complemented
731#2738C2×C3711yescharacteristic, complemented
732#2737C2×C3711yescharacteristic, complemented
733#2723C2×C3711yescharacteristic, complemented
734#2695C2×C3711yescharacteristic, complemented
735#2694C2×C3711yescharacteristic, complemented
736#2690C2×C3711yescharacteristic, complemented
737#2627C2×C3711yescharacteristic, complemented
738#2623C2×C3711yescharacteristic, complemented
739#2505C2×C3711yescharacteristic, complemented
740#2493C2×C3711yescharacteristic, complemented
741#2483C2×C3711yescharacteristic, complemented
742#2450C2×C3711yescharacteristic, complemented
743#2437C2×C3711yescharacteristic, complemented
744#2419C2×C3711yescharacteristic, complemented
745#2412C2×C3711yescharacteristic
746#2412C2×C3711yescharacteristic
747#2321C2×C3711yescharacteristic
748#2315C2×C3711yescharacteristic, complemented
749C2×#388C2×C3711yescharacteristic, complemented
750C2×C37—24no—
751C2×C37—42no—
752C2×C37—42no—
753C2×C37—81no—
754C2×C37C2×#53911yescharacteristic
755C2×C37#349111yescharacteristic
756C2×C37#350511yescharacteristic
757C2×C37#353511yescharacteristic
758C2×C37#354211yescharacteristic
759C2×C37#354511yescharacteristic
760C2×C37#356411yescharacteristic
761C2×#126C22×C3711yescharacteristic, complemented
762C2×#125C22×C3711yescharacteristic, complemented
763C2×#123C22×C3711yescharacteristic
764C2×#123C22×C3711yescharacteristic
765C2×C22⋊Q8C22×C3711yescharacteristic
766C2×C22⋊Q8C22×C3711yescharacteristic
767C2×#120C22×C3711yescharacteristic
768C2×C4×D4C22×C3711yescharacteristic
769C22×C4⋊C4C22×C3711yescharacteristic
770C22×C22⋊C4C22×C3711yescharacteristic
771C22×C22⋊C4C22×C3711yescharacteristic
772C22×C22⋊C4C22×C3711yescharacteristic
773C22×C22⋊C4C22×C3711yescharacteristic
774C22×C22⋊C4C22×C3711yescharacteristic
775C22×C42C22×C3711yescharacteristic
776#401C22×C3711yescharacteristic, complemented
777#400C22×C3711yescharacteristic, complemented
778#400C22×C3711yescharacteristic, complemented
779#400C22×C3711yescharacteristic, complemented
780#400C22×C3711yescharacteristic, complemented
781#400C22×C3711yescharacteristic, complemented
782#400C22×C3711yescharacteristic, complemented
783#400C22×C3711yescharacteristic, complemented
784#400C22×C3711yescharacteristic, complemented
785#400C22×C3711yescharacteristic, complemented
786#400C22×C3711yescharacteristic, complemented
787#400C22×C3711yescharacteristic, complemented
788#400C22×C3711yescharacteristic, complemented
789#399C22×C3711yescharacteristic
790#399C22×C3711yescharacteristic, complemented
791#399C22×C3711yescharacteristic, complemented
792#398C22×C3711yescharacteristic, complemented
793#398C22×C3711yescharacteristic, complemented
794#398C22×C3711yescharacteristic, complemented
795#398C22×C3711yescharacteristic, complemented
796#398C22×C3711yescharacteristic, complemented
797#398C22×C3711yescharacteristic, complemented
798#398C22×C3711yescharacteristic, complemented
799#398C22×C3711yescharacteristic, complemented
800#398C22×C3711yescharacteristic, complemented
801#397C22×C3711yescharacteristic
802#397C22×C3711yescharacteristic
803#397C22×C3711yescharacteristic
804#397C22×C3711yescharacteristic
805#397C22×C3711yescharacteristic
806#397C22×C3711yescharacteristic
807#397C22×C3711yescharacteristic
808#397C22×C3711yescharacteristic
809#397C22×C3711yescharacteristic, complemented
810#397C22×C3711yescharacteristic, complemented
811#397C22×C3711yescharacteristic, complemented
812#397C22×C3711yescharacteristic, complemented
813#396C22×C3711yescharacteristic
814#396C22×C3711yescharacteristic
815#396C22×C3711yescharacteristic, complemented
816#395C22×C3711yescharacteristic, complemented
817#395C22×C3711yescharacteristic, complemented
818#394C22×C3711yescharacteristic
819#394C22×C3711yescharacteristic
820#394C22×C3711yescharacteristic
821#394C22×C3711yescharacteristic
822#393C22×C3711yescharacteristic
823#393C22×C3711yescharacteristic, complemented
824#391C22×C3711yescharacteristic, complemented
825#390C22×C3711yescharacteristic
826#390C22×C3711yescharacteristic
827#389C22×C3711yescharacteristic, complemented
828#389C22×C3711yescharacteristic, complemented
829#389C22×C3711yescharacteristic, complemented
830#388C22×C3711yescharacteristic
831#388C22×C3711yescharacteristic
832#388C22×C3711yescharacteristic
833#388C22×C3711yescharacteristic
834#388C22×C3711yescharacteristic
835#388C22×C3711yescharacteristic
836#388C22×C3711yescharacteristic
837#388C22×C3711yescharacteristic
838#388C22×C3711yescharacteristic
839#388C22×C3711yescharacteristic
840#388C22×C3711yescharacteristic
841#388C22×C3711yescharacteristic
842#388C22×C3711yescharacteristic, complemented
843#388C22×C3711yescharacteristic, complemented
844#388C22×C3711yescharacteristic, complemented
845#387C22×C3711yescharacteristic, complemented
846#387C22×C3711yescharacteristic, complemented
847#387C22×C3711yescharacteristic, complemented
848#387C22×C3711yescharacteristic, complemented
849#387C22×C3711yescharacteristic, complemented
850#387C22×C3711yescharacteristic, complemented
851#387C22×C3711yescharacteristic, complemented
852#387C22×C3711yescharacteristic, complemented
853#387C22×C3711yescharacteristic, complemented
854#387C22×C3711yescharacteristic, complemented
855#387C22×C3711yescharacteristic, complemented
856#387C22×C3711yescharacteristic, complemented
857#387C22×C3711yescharacteristic, complemented
858#387C22×C3711yescharacteristic, complemented
859#387C22×C3711yescharacteristic, complemented
860#386C22×C3711yescharacteristic
861#386C22×C3711yescharacteristic
862#386C22×C3711yescharacteristic
863#386C22×C3711yescharacteristic
864#386C22×C3711yescharacteristic
865#386C22×C3711yescharacteristic
866#386C22×C3711yescharacteristic
867#386C22×C3711yescharacteristic
868#386C22×C3711yescharacteristic
869#385C22×C3711yescharacteristic
870#385C22×C3711yescharacteristic
871#385C22×C3711yescharacteristic
872#385C22×C3711yescharacteristic
873#385C22×C3711yescharacteristic
874#385C22×C3711yescharacteristic
875#385C22×C3711yescharacteristic
876#385C22×C3711yescharacteristic
877#385C22×C3711yescharacteristic
878#385C22×C3711yescharacteristic
879#385C22×C3711yescharacteristic
880#385C22×C3711yescharacteristic
881#385C22×C3711yescharacteristic
882#385C22×C3711yescharacteristic
883#385C22×C3711yescharacteristic
884#385C22×C3711yescharacteristic
885#385C22×C3711yescharacteristic
886#385C22×C3711yescharacteristic
887#385C22×C3711yescharacteristic
888#385C22×C3711yescharacteristic, complemented
889#385C22×C3711yescharacteristic, complemented
890#383C22×C3711yescharacteristic, complemented
891#383C22×C3711yescharacteristic, complemented
892#382C22×C3711yescharacteristic, complemented
893#382C22×C3711yescharacteristic, complemented
894#381C22×C3711yescharacteristic
895#381C22×C3711yescharacteristic
896#381C22×C3711yescharacteristic
897#381C22×C3711yescharacteristic
898#381C22×C3711yescharacteristic
899#381C22×C3711yescharacteristic
900#381C22×C3711yescharacteristic, complemented
901#380C22×C3711yescharacteristic
902#380C22×C3711yescharacteristic
903#380C22×C3711yescharacteristic
904#380C22×C3711yescharacteristic
905#380C22×C3711yescharacteristic
906#380C22×C3711yescharacteristic
907#380C22×C3711yescharacteristic
908#380C22×C3711yescharacteristic
909#380C22×C3711yescharacteristic
910#380C22×C3711yescharacteristic
911#380C22×C3711yescharacteristic, complemented
912#379C22×C3711yescharacteristic
913C4×C22⋊C4C22×C3711yescharacteristic
914C2×#95C22×C3711yescharacteristic
915C2×#95C22×C3711yescharacteristic
916C37#3678011yescharacteristic, direct product factor, Sylow
917C25C23×C3711yescharacteristic
918C22×Q8C23×C3711yescharacteristic
919C22×D4C23×C3711yescharacteristic
920C22×D4C23×C3711yescharacteristic
921C22×D4C23×C3711yescharacteristic
922C23×C4C23×C3711yescharacteristic
923C23×C4C23×C3711yescharacteristic
924C23×C4C23×C3711yescharacteristic
925C23×C4C23×C3711yescharacteristic
926C23×C4C23×C3711yescharacteristic
927C23×C4C23×C3711yescharacteristic
928C23×C4C23×C3711yescharacteristic
929C23×C4C23×C3711yescharacteristic
930C23×C4C23×C3711yescharacteristic
931C23×C4C23×C3711yescharacteristic
932C23×C4C23×C3711yescharacteristic
933#126—42no—
934#125—42no—
935#123—42no—
936#123—42no—
937C22⋊Q8—42no—
938C22⋊Q8—42no—
939#120—24no—
940C4×D4—42no—
941C2×C4⋊C4—42no—
942C2×C4⋊C4C23×C3711yescharacteristic
943C2×C4⋊C4C23×C3711yescharacteristic
944C2×C4⋊C4C23×C3711yescharacteristic
945C2×C4⋊C4C23×C3711yescharacteristic
946C2×C4⋊C4C23×C3711yescharacteristic
947C2×C4⋊C4C23×C3711yescharacteristic
948C2×C4⋊C4C23×C3711yescharacteristic
949C2×C4⋊C4C23×C3711yescharacteristic
950C2×C4⋊C4C23×C3711yescharacteristic
951C2×C4⋊C4C23×C3711yescharacteristic
952C2×C4⋊C4C23×C3711yescharacteristic
953C2×C4⋊C4C23×C3711yescharacteristic
954C2×C4⋊C4C23×C3711yescharacteristic
955C2×C4⋊C4C23×C3711yescharacteristic
956C2×C4⋊C4C23×C3711yescharacteristic
957C2×C4⋊C4C23×C3711yescharacteristic
958C2×C4⋊C4C23×C3711yescharacteristic
959C2×C4⋊C4C23×C3711yescharacteristic
960C2×C4⋊C4C23×C3711yescharacteristic
961C2×C4⋊C4C23×C3711yescharacteristic
962C2×C4⋊C4C23×C3711yescharacteristic
963C2×C4⋊C4C23×C3711yescharacteristic
964C2×C4⋊C4C23×C3711yescharacteristic
965C2×C4⋊C4C23×C3711yescharacteristic
966C2×C4⋊C4C23×C3711yescharacteristic
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×C22⋊C4—24no—
979C2×C22⋊C4—24no—
980C2×C22⋊C4—42no—
981C2×C22⋊C4—42no—
982C2×C22⋊C4—42no—
983C2×C22⋊C4C23×C3711yescharacteristic
984C2×C22⋊C4C23×C3711yescharacteristic
985C2×C22⋊C4C23×C3711yescharacteristic
986C2×C22⋊C4C23×C3711yescharacteristic
987C2×C22⋊C4C23×C3711yescharacteristic
988C2×C22⋊C4C23×C3711yescharacteristic
989C2×C22⋊C4C23×C3711yescharacteristic
990C2×C22⋊C4C23×C3711yescharacteristic
991C2×C22⋊C4C23×C3711yescharacteristic
992C2×C22⋊C4C23×C3711yescharacteristic
993C2×C22⋊C4C23×C3711yescharacteristic
994C2×C22⋊C4C23×C3711yescharacteristic
995C2×C22⋊C4C23×C3711yescharacteristic
996C2×C22⋊C4C23×C3711yescharacteristic
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×C42—42no—
1024C2×C42C23×C3711yescharacteristic
1025C2×C42C23×C3711yescharacteristic
1026C2×C42C23×C3711yescharacteristic
1027C2×C42C23×C3711yescharacteristic
1028C2×C42C23×C3711yescharacteristic
1029C2×C42C23×C3711yescharacteristic
1030C2×C42C23×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
1056#95C23×C3711yescharacteristic
1057#95C23×C3711yescharacteristic
1058#95C23×C3711yescharacteristic
1059#95C23×C3711yescharacteristic
1060#95C23×C3711yescharacteristic
1061#95C23×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
1087C24—22no—
1088C24—22no—
1089C24—41no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24#41×C3714yes—
1094C24C24×C3711yescharacteristic
1095C24C24×C3711yescharacteristic
1096C24C24×C3711yescharacteristic
1097C24C24×C3711yescharacteristic
1098C2×Q8—41no—
1099C2×Q8—41no—
1100C2×Q8—41no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—22no—
1119C22×C4—22no—
1120C22×C4—22no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4—41no—
1140C22×C4—41no—
1141C22×C4—41no—
1142C22×C4—41no—
1143C22×C4C24×C3711yescharacteristic
1144C22×C4C24×C3711yescharacteristic
1145C22×C4C24×C3711yescharacteristic
1146C22×C4C24×C3711yescharacteristic
1147C22×C4C24×C3711yescharacteristic
1148C22×C4C24×C3711yescharacteristic
1149C22×C4C24×C3711yescharacteristic
1150C22×C4C24×C3711yescharacteristic
1151C22×C4C24×C3711yescharacteristic
1152C22×C4C24×C3711yescharacteristic
1153C22×C4C24×C3711yescharacteristic
1154C22×C4C24×C3711yescharacteristic
1155C22×C4C24×C3711yescharacteristic
1156C22×C4C24×C3711yescharacteristic
1157C22×C4C24×C3711yescharacteristic
1158C22×C4C24×C3711yescharacteristic
1159C22×C4C24×C3711yescharacteristic
1160C22×C4C24×C3711yescharacteristic
1161C22×C4C24×C3711yescharacteristic
1162C22×C4C24×C3711yescharacteristic
1163C22×C4C24×C3711yescharacteristic
1164C22×C4C24×C3711yescharacteristic
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
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—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—22no—
1211C22⋊C4—22no—
1212C22⋊C4—22no—
1213C22⋊C4—22no—
1214C22⋊C4—22no—
1215C22⋊C4—22no—
1216C22⋊C4—22no—
1217C22⋊C4—22no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
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—
1246C42—22no—
1247C42—22no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C42—41no—
1252C42—41no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—28no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—21no—
1277C23—44no—
1278C23—44no—
1279C23—82no—
1280C23—82no—
1281C23—82no—
1282C23—82no—
1283C23C2×#41×C3712yes—
1284C23C2×#41×C3712yes—
1285C23C2×#41×C3712yes—
1286C23H(5,𝔽2)×C3712yes—
1287C232−1+4×C3712yes—
1288C23C25×C3711yescharacteristic
1289Q8—82no—
1290D4—44no—
1291D4—82no—
1292D4—82no—
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—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
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—44no—
1374C2×C4—44no—
1375C2×C4—44no—
1376C2×C4—44no—
1377C2×C4—82no—
1378C2×C4—82no—
1379C2×C4—82no—
1380C2×C4—82no—
1381C2×C4—82no—
1382C2×C4—82no—
1383C2×C4—82no—
1384C2×C4H(5,𝔽2)×C3712yes—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—22no—
1389C22—22no—
1390C22—22no—
1391C22—22no—
1392C22—22no—
1393C22—22no—
1394C22—22no—
1395C22—22no—
1396C22—22no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22—41no—
1409C22—41no—
1410C22—41no—
1411C22—41no—
1412C22—88no—
1413C22C37×#53914yes—
1414C22C22×#41×C3711yescharacteristic
1415C22C2×H(5,𝔽2)×C3711yescharacteristic
1416C22C2×H(5,𝔽2)×C3711yescharacteristic
1417C22C2×2−1+4×C3711yescharacteristic
1418C22C37×#58511yescharacteristic
1419C22C37×#58511yescharacteristic
1420C22C37×#58511yescharacteristic
1421C4—22no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C4—41no—
1439C4—41no—
1440C4—41no—
1441C4—41no—
1442C4—41no—
1443C4—41no—
1444C4—41no—
1445C4—41no—
1446C4—41no—
1447C4—41no—
1448C2—24no—
1449C2—42no—
1450C2—42no—
1451C2—81no—
1452C2C2×C37×#53911yescharacteristic
1453C2C37×#349111yescharacteristic
1454C2C37×#350511yescharacteristic
1455C2C37×#353511yescharacteristic
1456C2C37×#354211yescharacteristic
1457C2C37×#354511yescharacteristic
1458C2C37×#356411yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC2×#120×C37C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2852C2semidirect
2. C37×#2851C2semidirect
3. C37×#2786C2semidirect
4. C37×#2782C2semidirect
5. C37×#2770C2semidirect
6. C37×#2770C2semidirect
7. C37×#2747C2semidirect
8. C37×#2746C2semidirect
9. C37×#2745C2semidirect
10. C37×#2744C2semidirect
11. C37×#2744C2semidirect
12. C37×#2743C2semidirect
13. C37×#2738C2semidirect
14. C37×#2737C2semidirect
15. C37×#2723C2semidirect
16. C37×#2695C2semidirect
17. C37×#2694C2semidirect
18. C37×#2690C2semidirect
19. C37×#2627C2semidirect
20. C37×#2623C2semidirect
21. C37×#2505C2semidirect
22. C37×#2493C2semidirect
23. C37×#2483C2semidirect
24. C37×#2450C2semidirect
25. C37×#2437C2semidirect
26. C37×#2419C2semidirect
30. C37×#2315C2semidirect
31. C2×C37×#388C2semidirect
32. C2×#126×C37C22semidirect
33. C2×#125×C37C22semidirect
47. C37×#401C22semidirect
48. C37×#400C22semidirect
49. C37×#400C22semidirect
50. C37×#400C22semidirect
51. C37×#400C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#400C22semidirect
56. C37×#400C22semidirect
57. C37×#400C22semidirect
58. C37×#400C22semidirect
59. C37×#400C22semidirect
61. C37×#399C22semidirect
62. C37×#399C22semidirect
63. C37×#398C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
67. C37×#398C22semidirect
68. C37×#398C22semidirect
69. C37×#398C22semidirect
70. C37×#398C22semidirect
71. C37×#398C22semidirect
80. C37×#397C22semidirect
81. C37×#397C22semidirect
82. C37×#397C22semidirect
83. C37×#397C22semidirect
86. C37×#396C22semidirect
87. C37×#395C22semidirect
88. C37×#395C22semidirect
94. C37×#393C22semidirect
95. C37×#391C22semidirect
98. C37×#389C22semidirect
99. C37×#389C22semidirect
100. C37×#389C22semidirect
113. C37×#388C22semidirect
114. C37×#388C22semidirect
115. C37×#388C22semidirect
116. C37×#387C22semidirect
117. C37×#387C22semidirect
118. C37×#387C22semidirect
119. C37×#387C22semidirect
120. C37×#387C22semidirect
121. C37×#387C22semidirect
122. C37×#387C22semidirect
123. C37×#387C22semidirect
124. C37×#387C22semidirect
125. C37×#387C22semidirect
126. C37×#387C22semidirect
127. C37×#387C22semidirect
128. C37×#387C22semidirect
129. C37×#387C22semidirect
130. C37×#387C22semidirect
159. C37×#385C22semidirect
160. C37×#385C22semidirect
161. C37×#383C22semidirect
162. C37×#383C22semidirect
163. C37×#382C22semidirect
164. C37×#382C22semidirect
171. C37×#381C22semidirect
182. C37×#380C22semidirect
655. #36780C37direct (N × H)
719. #2852C2×C37semidirect
720. #2851C2×C37semidirect
721. #2786C2×C37semidirect
722. #2782C2×C37semidirect
723. #2770C2×C37semidirect
724. #2770C2×C37semidirect
725. #2747C2×C37semidirect
726. #2746C2×C37semidirect
727. #2745C2×C37semidirect
728. #2744C2×C37semidirect
729. #2744C2×C37semidirect
730. #2743C2×C37semidirect
731. #2738C2×C37semidirect
732. #2737C2×C37semidirect
733. #2723C2×C37semidirect
734. #2695C2×C37semidirect
735. #2694C2×C37semidirect
736. #2690C2×C37semidirect
737. #2627C2×C37semidirect
738. #2623C2×C37semidirect
739. #2505C2×C37semidirect
740. #2493C2×C37semidirect
741. #2483C2×C37semidirect
742. #2450C2×C37semidirect
743. #2437C2×C37semidirect
744. #2419C2×C37semidirect
748. #2315C2×C37semidirect
749. C2×#388C2×C37semidirect
761. C2×#126C22×C37semidirect
762. C2×#125C22×C37semidirect
776. #401C22×C37semidirect
777. #400C22×C37semidirect
778. #400C22×C37semidirect
779. #400C22×C37semidirect
780. #400C22×C37semidirect
781. #400C22×C37semidirect
782. #400C22×C37semidirect
783. #400C22×C37semidirect
784. #400C22×C37semidirect
785. #400C22×C37semidirect
786. #400C22×C37semidirect
787. #400C22×C37semidirect
788. #400C22×C37semidirect
790. #399C22×C37semidirect
791. #399C22×C37semidirect
792. #398C22×C37semidirect
793. #398C22×C37semidirect
794. #398C22×C37semidirect
795. #398C22×C37semidirect
796. #398C22×C37semidirect
797. #398C22×C37semidirect
798. #398C22×C37semidirect
799. #398C22×C37semidirect
800. #398C22×C37semidirect
809. #397C22×C37semidirect
810. #397C22×C37semidirect
811. #397C22×C37semidirect
812. #397C22×C37semidirect
815. #396C22×C37semidirect
816. #395C22×C37semidirect
817. #395C22×C37semidirect
823. #393C22×C37semidirect
824. #391C22×C37semidirect
827. #389C22×C37semidirect
828. #389C22×C37semidirect
829. #389C22×C37semidirect
842. #388C22×C37semidirect
843. #388C22×C37semidirect
844. #388C22×C37semidirect
845. #387C22×C37semidirect
846. #387C22×C37semidirect
847. #387C22×C37semidirect
848. #387C22×C37semidirect
849. #387C22×C37semidirect
850. #387C22×C37semidirect
851. #387C22×C37semidirect
852. #387C22×C37semidirect
853. #387C22×C37semidirect
854. #387C22×C37semidirect
855. #387C22×C37semidirect
856. #387C22×C37semidirect
857. #387C22×C37semidirect
858. #387C22×C37semidirect
859. #387C22×C37semidirect
888. #385C22×C37semidirect
889. #385C22×C37semidirect
890. #383C22×C37semidirect
891. #383C22×C37semidirect
892. #382C22×C37semidirect
893. #382C22×C37semidirect
900. #381C22×C37semidirect
911. #380C22×C37semidirect
916. C37#36780direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28522
C37×#28512
C37×#27862
C37×#27822
C37×#27702
C37×#27472
C37×#27462
C37×#27452
C37×#27442
C37×#27432
C37×#27382
C37×#27372
C37×#27232
C37×#26952
C37×#26942
C37×#26902
C37×#26272
C37×#26232
C37×#25052
C37×#24932
C37×#24832
C37×#24502
C37×#24372
C37×#24192
C37×#24122
C37×#23212
C37×#23152
C2×C37×#3882
#3678037