Finite Group Databasebeta

← C37×#36736 #22657989

Subgroups — C37×#36736 #22657989

Order 9472.

1782 conjugacy classes of subgroups.

The subgroup lattice has 1454 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic
2C37×#2848C211yesmaximal, characteristic, complemented
3C37×#2748C211yesmaximal, characteristic, complemented
4C37×#2747C211yesmaximal, characteristic, complemented
5C37×#2740C211yesmaximal, characteristic, complemented
6C37×#2739C211yesmaximal, characteristic, complemented
7C37×#2738C211yesmaximal, characteristic, complemented
8C37×#2738C211yesmaximal, characteristic, complemented
9C37×#2735C211yesmaximal, characteristic, complemented
10C37×#2735C211yesmaximal, characteristic, complemented
11C37×#2704C211yesmaximal, characteristic, complemented
12C37×#2702C211yesmaximal, characteristic, complemented
13C37×#2697C211yesmaximal, characteristic
14C37×#2695C211yesmaximal, characteristic, complemented
15C37×#2694C211yesmaximal, characteristic, complemented
16C37×#2689C211yesmaximal, characteristic, complemented
17C37×#2687C211yesmaximal, characteristic, complemented
18C37×#2685C211yesmaximal, characteristic
19C37×#2667C211yesmaximal, characteristic, complemented
20C37×#2663C211yesmaximal, characteristic, complemented
21C37×#2597C211yesmaximal, characteristic, complemented
22C37×#2587C211yesmaximal, characteristic, complemented
23C37×#2587C211yesmaximal, characteristic, complemented
24C37×#2578C211yesmaximal, characteristic, complemented
25C37×#2479C211yesmaximal, characteristic, complemented
26C37×#2478C211yesmaximal, characteristic, complemented
27C37×#2475C211yesmaximal, characteristic, complemented
28C37×#2470C211yesmaximal, characteristic, complemented
29C37×#2335C211yesmaximal, characteristic, complemented
30C37×#2332C211yesmaximal, characteristic, complemented
31C37×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic, complemented
35C2×#125×C37C2211yescharacteristic, complemented
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×C22⋊Q8×C37C2211yescharacteristic
40C2×C22⋊Q8×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×#120×C37C2211yescharacteristic
43C2×#117×C37C2211yescharacteristic
44C2×#117×C37C2211yescharacteristic
45C37×#400C2211yescharacteristic, complemented
46C37×#400C2211yescharacteristic, complemented
47C37×#400C2211yescharacteristic, complemented
48C37×#400C2211yescharacteristic, complemented
49C37×#400C2211yescharacteristic, complemented
50C37×#400C2211yescharacteristic, complemented
51C37×#400C2211yescharacteristic, complemented
52C37×#399C2211yescharacteristic
53C37×#399C2211yescharacteristic
54C37×#399C2211yescharacteristic
55C37×#399C2211yescharacteristic, complemented
56C37×#399C2211yescharacteristic, complemented
57C37×#398C2211yescharacteristic, complemented
58C37×#398C2211yescharacteristic, complemented
59C37×#398C2211yescharacteristic, complemented
60C37×#398C2211yescharacteristic, complemented
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic
73C37×#397C2211yescharacteristic
74C37×#397C2211yescharacteristic
75C37×#397C2211yescharacteristic, complemented
76C37×#397C2211yescharacteristic, complemented
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic
79C37×#396C2211yescharacteristic
80C37×#396C2211yescharacteristic
81C37×#396C2211yescharacteristic
82C37×#396C2211yescharacteristic
83C37×#396C2211yescharacteristic
84C37×#396C2211yescharacteristic, complemented
85C37×#395C2211yescharacteristic, complemented
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic
92C37×#393C2211yescharacteristic, complemented
93C37×#391C2211yescharacteristic, complemented
94C37×#391C2211yescharacteristic, complemented
95C37×#390C2211yescharacteristic
96C37×#390C2211yescharacteristic
97C37×#390C2211yescharacteristic
98C37×#389C2211yescharacteristic, complemented
99C37×#389C2211yescharacteristic, complemented
100C37×#389C2211yescharacteristic, complemented
101C37×#389C2211yescharacteristic, complemented
102C37×#389C2211yescharacteristic, 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, complemented
125C37×#388C2211yescharacteristic, complemented
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#388C2211yescharacteristic, complemented
129C37×#387C2211yescharacteristic, complemented
130C37×#387C2211yescharacteristic, complemented
131C37×#387C2211yescharacteristic, complemented
132C37×#387C2211yescharacteristic, complemented
133C37×#387C2211yescharacteristic, complemented
134C37×#387C2211yescharacteristic, complemented
135C37×#387C2211yescharacteristic, complemented
136C37×#387C2211yescharacteristic, complemented
137C37×#387C2211yescharacteristic, complemented
138C37×#387C2211yescharacteristic, complemented
139C37×#387C2211yescharacteristic, complemented
140C37×#387C2211yescharacteristic, complemented
141C37×#387C2211yescharacteristic, complemented
142C37×#387C2211yescharacteristic, complemented
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
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×#381C2211yescharacteristic
163C37×#381C2211yescharacteristic
164C37×#381C2211yescharacteristic
165C37×#381C2211yescharacteristic
166C37×#380C2211yescharacteristic
167C37×#380C2211yescharacteristic
168C37×#380C2211yescharacteristic
169C37×#380C2211yescharacteristic
170C37×#380C2211yescharacteristic
171C37×#380C2211yescharacteristic
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic, complemented
174C37×#379C2211yescharacteristic
175C37×#379C2211yescharacteristic
176C37×#379C2211yescharacteristic
177C37×#379C2211yescharacteristic
178C37×#379C2211yescharacteristic
179C4×C4⋊C4×C37C2211yescharacteristic, complemented
180C4×C4⋊C4×C37C2211yescharacteristic, complemented
181C4×C4⋊C4×C37C2211yescharacteristic, complemented
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C4×C22⋊C4×C37C2211yescharacteristic
186C4×C22⋊C4×C37C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C23×C4×C37—24no—
193C23×C4×C37—42no—
194C23×C4×C37—42no—
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202#126×C37—42no—
203#126×C37—42no—
204#125×C37—42no—
205#123×C37—24no—
206#123×C37—42no—
207#123×C37—42no—
208C22⋊Q8×C37—24no—
209C22⋊Q8×C37—42no—
210C22⋊Q8×C37—42no—
211#120×C37—42no—
212#117×C37—42no—
213#117×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊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×C37C2311yescharacteristic
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
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—22no—
360C24×C37—41no—
361C24×C37—41no—
362C24×C37—41no—
363C24×C37—41no—
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C2×Q8×C37—22no—
369C2×Q8×C37—41no—
370C2×Q8×C37—41no—
371C2×D4×C37—22no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—41no—
375C2×D4×C37—41no—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
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—41no—
391C22×C4×C37—41no—
392C22×C4×C37—41no—
393C22×C4×C37—41no—
394C22×C4×C37—41no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37—416no—
401C22×C4×C37#4114yes—
402C22×C4×C37C2411yescharacteristic
403C22×C4×C37C2411yescharacteristic
404C22×C4×C37C2411yescharacteristic
405C22×C4×C37C2411yescharacteristic
406C22×C4×C37C2411yescharacteristic
407C22×C4×C37C2411yescharacteristic
408C22×C4×C37C2411yescharacteristic
409C22×C4×C37C2411yescharacteristic
410C22×C4×C37C2411yescharacteristic
411C22×C4×C37C2411yescharacteristic
412C22×C4×C37C2411yescharacteristic
413C22×C4×C37C2411yescharacteristic
414C22×C4×C37C2411yescharacteristic
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C4⋊C4×C37—22no—
430C4⋊C4×C37—22no—
431C4⋊C4×C37—22no—
432C4⋊C4×C37—22no—
433C4⋊C4×C37—22no—
434C4⋊C4×C37—22no—
435C4⋊C4×C37—22no—
436C4⋊C4×C37—22no—
437C4⋊C4×C37—22no—
438C4⋊C4×C37—22no—
439C4⋊C4×C37—41no—
440C4⋊C4×C37—41no—
441C4⋊C4×C37—41no—
442C4⋊C4×C37—41no—
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—
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—41no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37—41no—
491C22⋊C4×C37—41no—
492C22⋊C4×C37—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—
513C42×C37—41no—
514C42×C37—41no—
515C42×C37—41no—
516C42×C37—41no—
517C42×C37—41no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
523C42×C37—41no—
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—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—44no—
550C23×C37—44no—
551C23×C37—44no—
552C23×C37—44no—
553C23×C37—44no—
554C23×C37—44no—
555C23×C37—44no—
556C23×C37C2×#4112yes—
557C23×C37H(5,𝔽2)12yes—
558C23×C372−1+412yes—
559C23×C37C2511yescharacteristic
560Q8×C37—82no—
561D4×C37—82no—
562D4×C37—82no—
563D4×C37—82no—
564C2×C4×C37—28no—
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—44no—
648C2×C4×C37—82no—
649C2×C4×C37C2×#4112yes—
650C2×C4×C37C2×#4112yes—
651C2×C4×C37H(5,𝔽2)12yes—
652#36736C3711yesmaximal, characteristic, direct product factor, Sylow
653C22×C37—22no—
654C22×C37—22no—
655C22×C37—22no—
656C22×C37—22no—
657C22×C37—22no—
658C22×C37—22no—
659C22×C37—22no—
660C22×C37—22no—
661C22×C37—22no—
662C22×C37—416no—
663C22×C37—41no—
664C22×C37—41no—
665C22×C37—41no—
666C22×C37—41no—
667C22×C37—41no—
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×C37C22×#4111yescharacteristic
683C22×C37C2×H(5,𝔽2)11yescharacteristic
684C22×C37C2×H(5,𝔽2)11yescharacteristic
685C22×C37C2×2−1+411yescharacteristic
686C22×C37#58511yescharacteristic
687C22×C37#58511yescharacteristic
688C22×C37#58511yescharacteristic
689C4×C37—22no—
690C4×C37—22no—
691C4×C37—22no—
692C4×C37—41no—
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—
716#2849C2×C3711yescharacteristic
717#2848C2×C3711yescharacteristic, complemented
718#2748C2×C3711yescharacteristic, complemented
719#2747C2×C3711yescharacteristic, complemented
720#2740C2×C3711yescharacteristic, complemented
721#2739C2×C3711yescharacteristic, complemented
722#2738C2×C3711yescharacteristic, complemented
723#2738C2×C3711yescharacteristic, complemented
724#2735C2×C3711yescharacteristic, complemented
725#2735C2×C3711yescharacteristic, complemented
726#2704C2×C3711yescharacteristic, complemented
727#2702C2×C3711yescharacteristic, complemented
728#2697C2×C3711yescharacteristic
729#2695C2×C3711yescharacteristic, complemented
730#2694C2×C3711yescharacteristic, complemented
731#2689C2×C3711yescharacteristic, complemented
732#2687C2×C3711yescharacteristic, complemented
733#2685C2×C3711yescharacteristic
734#2667C2×C3711yescharacteristic, complemented
735#2663C2×C3711yescharacteristic, complemented
736#2597C2×C3711yescharacteristic, complemented
737#2587C2×C3711yescharacteristic, complemented
738#2587C2×C3711yescharacteristic, complemented
739#2578C2×C3711yescharacteristic, complemented
740#2479C2×C3711yescharacteristic, complemented
741#2478C2×C3711yescharacteristic, complemented
742#2475C2×C3711yescharacteristic, complemented
743#2470C2×C3711yescharacteristic, complemented
744#2335C2×C3711yescharacteristic, complemented
745#2332C2×C3711yescharacteristic, complemented
746#2280C2×C3711yescharacteristic, complemented
747C2×C37—42no—
748C2×C37—42no—
749C2×C37—42no—
750C2×C37—81no—
751C2×C37#345511yescharacteristic
752C2×C37#349011yescharacteristic
753C2×C37#349511yescharacteristic
754C2×C37#353311yescharacteristic
755C2×C37#353511yescharacteristic
756C2×C37#353911yescharacteristic
757C2×C37#354111yescharacteristic
758C24×C4C22×C3711yescharacteristic
759C2×#126C22×C3711yescharacteristic
760C2×#126C22×C3711yescharacteristic, complemented
761C2×#125C22×C3711yescharacteristic, complemented
762C2×#123C22×C3711yescharacteristic
763C2×#123C22×C3711yescharacteristic
764C2×#123C22×C3711yescharacteristic
765C2×C22⋊Q8C22×C3711yescharacteristic
766C2×C22⋊Q8C22×C3711yescharacteristic
767C2×C22⋊Q8C22×C3711yescharacteristic
768C2×#120C22×C3711yescharacteristic
769C2×#117C22×C3711yescharacteristic
770C2×#117C22×C3711yescharacteristic
771#400C22×C3711yescharacteristic, complemented
772#400C22×C3711yescharacteristic, complemented
773#400C22×C3711yescharacteristic, complemented
774#400C22×C3711yescharacteristic, complemented
775#400C22×C3711yescharacteristic, complemented
776#400C22×C3711yescharacteristic, complemented
777#400C22×C3711yescharacteristic, complemented
778#399C22×C3711yescharacteristic
779#399C22×C3711yescharacteristic
780#399C22×C3711yescharacteristic
781#399C22×C3711yescharacteristic, complemented
782#399C22×C3711yescharacteristic, complemented
783#398C22×C3711yescharacteristic, complemented
784#398C22×C3711yescharacteristic, complemented
785#398C22×C3711yescharacteristic, complemented
786#398C22×C3711yescharacteristic, complemented
787#398C22×C3711yescharacteristic, complemented
788#398C22×C3711yescharacteristic, complemented
789#398C22×C3711yescharacteristic, complemented
790#398C22×C3711yescharacteristic, complemented
791#398C22×C3711yescharacteristic, complemented
792#398C22×C3711yescharacteristic, complemented
793#397C22×C3711yescharacteristic
794#397C22×C3711yescharacteristic
795#397C22×C3711yescharacteristic
796#397C22×C3711yescharacteristic
797#397C22×C3711yescharacteristic
798#397C22×C3711yescharacteristic
799#397C22×C3711yescharacteristic
800#397C22×C3711yescharacteristic
801#397C22×C3711yescharacteristic, complemented
802#397C22×C3711yescharacteristic, complemented
803#396C22×C3711yescharacteristic
804#396C22×C3711yescharacteristic
805#396C22×C3711yescharacteristic
806#396C22×C3711yescharacteristic
807#396C22×C3711yescharacteristic
808#396C22×C3711yescharacteristic
809#396C22×C3711yescharacteristic
810#396C22×C3711yescharacteristic, complemented
811#395C22×C3711yescharacteristic, complemented
812#394C22×C3711yescharacteristic
813#394C22×C3711yescharacteristic
814#394C22×C3711yescharacteristic
815#394C22×C3711yescharacteristic
816#394C22×C3711yescharacteristic
817#394C22×C3711yescharacteristic
818#393C22×C3711yescharacteristic, complemented
819#391C22×C3711yescharacteristic, complemented
820#391C22×C3711yescharacteristic, complemented
821#390C22×C3711yescharacteristic
822#390C22×C3711yescharacteristic
823#390C22×C3711yescharacteristic
824#389C22×C3711yescharacteristic, complemented
825#389C22×C3711yescharacteristic, complemented
826#389C22×C3711yescharacteristic, complemented
827#389C22×C3711yescharacteristic, complemented
828#389C22×C3711yescharacteristic, complemented
829#389C22×C3711yescharacteristic, complemented
830#389C22×C3711yescharacteristic, complemented
831#389C22×C3711yescharacteristic, complemented
832#389C22×C3711yescharacteristic, complemented
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
843#388C22×C3711yescharacteristic
844#388C22×C3711yescharacteristic
845#388C22×C3711yescharacteristic
846#388C22×C3711yescharacteristic
847#388C22×C3711yescharacteristic
848#388C22×C3711yescharacteristic
849#388C22×C3711yescharacteristic
850#388C22×C3711yescharacteristic, complemented
851#388C22×C3711yescharacteristic, complemented
852#388C22×C3711yescharacteristic, complemented
853#388C22×C3711yescharacteristic, complemented
854#388C22×C3711yescharacteristic, complemented
855#387C22×C3711yescharacteristic, complemented
856#387C22×C3711yescharacteristic, complemented
857#387C22×C3711yescharacteristic, complemented
858#387C22×C3711yescharacteristic, complemented
859#387C22×C3711yescharacteristic, complemented
860#387C22×C3711yescharacteristic, complemented
861#387C22×C3711yescharacteristic, complemented
862#387C22×C3711yescharacteristic, complemented
863#387C22×C3711yescharacteristic, complemented
864#387C22×C3711yescharacteristic, complemented
865#387C22×C3711yescharacteristic, complemented
866#387C22×C3711yescharacteristic, complemented
867#387C22×C3711yescharacteristic, complemented
868#387C22×C3711yescharacteristic, complemented
869#386C22×C3711yescharacteristic
870#386C22×C3711yescharacteristic
871#386C22×C3711yescharacteristic
872#386C22×C3711yescharacteristic
873#386C22×C3711yescharacteristic
874#386C22×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, complemented
886#385C22×C3711yescharacteristic, complemented
887#383C22×C3711yescharacteristic, complemented
888#381C22×C3711yescharacteristic
889#381C22×C3711yescharacteristic
890#381C22×C3711yescharacteristic
891#381C22×C3711yescharacteristic
892#380C22×C3711yescharacteristic
893#380C22×C3711yescharacteristic
894#380C22×C3711yescharacteristic
895#380C22×C3711yescharacteristic
896#380C22×C3711yescharacteristic
897#380C22×C3711yescharacteristic
898#380C22×C3711yescharacteristic
899#380C22×C3711yescharacteristic, complemented
900#379C22×C3711yescharacteristic
901#379C22×C3711yescharacteristic
902#379C22×C3711yescharacteristic
903#379C22×C3711yescharacteristic
904#379C22×C3711yescharacteristic
905C4×C4⋊C4C22×C3711yescharacteristic, complemented
906C4×C4⋊C4C22×C3711yescharacteristic, complemented
907C4×C4⋊C4C22×C3711yescharacteristic, complemented
908C4×C22⋊C4C22×C3711yescharacteristic
909C4×C22⋊C4C22×C3711yescharacteristic
910C4×C22⋊C4C22×C3711yescharacteristic
911C4×C22⋊C4C22×C3711yescharacteristic
912C4×C22⋊C4C22×C3711yescharacteristic, complemented
913C37#3673611yescharacteristic, direct product factor, Sylow
914C25C23×C3711yescharacteristic
915C22×Q8C23×C3711yescharacteristic
916C22×D4C23×C3711yescharacteristic
917C22×D4C23×C3711yescharacteristic
918C22×D4C23×C3711yescharacteristic
919C23×C4—24no—
920C23×C4—42no—
921C23×C4—42no—
922C23×C4C23×C3711yescharacteristic
923C23×C4C23×C3711yescharacteristic
924C23×C4C23×C3711yescharacteristic
925C23×C4C23×C3711yescharacteristic
926C23×C4C23×C3711yescharacteristic
927C23×C4C23×C3711yescharacteristic
928C23×C4C23×C3711yescharacteristic
929#126—42no—
930#126—42no—
931#125—42no—
932#123—24no—
933#123—42no—
934#123—42no—
935C22⋊Q8—24no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938#120—42no—
939#117—42no—
940#117—42no—
941C2×C4⋊C4C23×C3711yescharacteristic
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×C4⋊C4C23×C3711yescharacteristic
979C2×C4⋊C4C23×C3711yescharacteristic
980C2×C4⋊C4C23×C3711yescharacteristic
981C2×C22⋊C4C23×C3711yescharacteristic
982C2×C22⋊C4C23×C3711yescharacteristic
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×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C42C23×C3711yescharacteristic
1026C2×C42C23×C3711yescharacteristic
1027C2×C42C23×C3711yescharacteristic
1028C2×C42C23×C3711yescharacteristic
1029C2×C42C23×C3711yescharacteristic
1030C2×C42C23×C3711yescharacteristic
1031C2×C42C23×C3711yescharacteristic
1032C2×C42C23×C3711yescharacteristic
1033C2×C42C23×C3711yescharacteristic
1034C2×C42C23×C3711yescharacteristic
1035C2×C42C23×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
1084C24—22no—
1085C24—22no—
1086C24—22no—
1087C24—41no—
1088C24—41no—
1089C24—41no—
1090C24—41no—
1091C24C24×C3711yescharacteristic
1092C24C24×C3711yescharacteristic
1093C24C24×C3711yescharacteristic
1094C24C24×C3711yescharacteristic
1095C2×Q8—22no—
1096C2×Q8—41no—
1097C2×Q8—41no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—41no—
1102C2×D4—41no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C22×C4—22no—
1108C22×C4—22no—
1109C22×C4—22no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—416no—
1128C22×C4#41×C3714yes—
1129C22×C4C24×C3711yescharacteristic
1130C22×C4C24×C3711yescharacteristic
1131C22×C4C24×C3711yescharacteristic
1132C22×C4C24×C3711yescharacteristic
1133C22×C4C24×C3711yescharacteristic
1134C22×C4C24×C3711yescharacteristic
1135C22×C4C24×C3711yescharacteristic
1136C22×C4C24×C3711yescharacteristic
1137C22×C4C24×C3711yescharacteristic
1138C22×C4C24×C3711yescharacteristic
1139C22×C4C24×C3711yescharacteristic
1140C22×C4C24×C3711yescharacteristic
1141C22×C4C24×C3711yescharacteristic
1142C22×C4C24×C3711yescharacteristic
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
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—22no—
1162C4⋊C4—22no—
1163C4⋊C4—22no—
1164C4⋊C4—22no—
1165C4⋊C4—22no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
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—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
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—
1240C42—41no—
1241C42—41no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C42—41no—
1249C42—41no—
1250C42—41no—
1251C23—21no—
1252C23—21no—
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—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23—21no—
1274C23—21no—
1275C23—21no—
1276C23—44no—
1277C23—44no—
1278C23—44no—
1279C23—44no—
1280C23—44no—
1281C23—44no—
1282C23—44no—
1283C23C2×#41×C3712yes—
1284C23H(5,𝔽2)×C3712yes—
1285C232−1+4×C3712yes—
1286C23C25×C3711yescharacteristic
1287Q8—82no—
1288D4—82no—
1289D4—82no—
1290D4—82no—
1291C2×C4—28no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—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—44no—
1371C2×C4—44no—
1372C2×C4—44no—
1373C2×C4—44no—
1374C2×C4—44no—
1375C2×C4—82no—
1376C2×C4C2×#41×C3712yes—
1377C2×C4C2×#41×C3712yes—
1378C2×C4H(5,𝔽2)×C3712yes—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—22no—
1383C22—22no—
1384C22—22no—
1385C22—22no—
1386C22—22no—
1387C22—22no—
1388C22—416no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22—41no—
1404C22—41no—
1405C22—41no—
1406C22—41no—
1407C22—41no—
1408C22C22×#41×C3711yescharacteristic
1409C22C2×H(5,𝔽2)×C3711yescharacteristic
1410C22C2×H(5,𝔽2)×C3711yescharacteristic
1411C22C2×2−1+4×C3711yescharacteristic
1412C22C37×#58511yescharacteristic
1413C22C37×#58511yescharacteristic
1414C22C37×#58511yescharacteristic
1415C4—22no—
1416C4—22no—
1417C4—22no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
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—
1442C2—42no—
1443C2—42no—
1444C2—42no—
1445C2—81no—
1446C2C37×#345511yescharacteristic
1447C2C37×#349011yescharacteristic
1448C2C37×#349511yescharacteristic
1449C2C37×#353311yescharacteristic
1450C2C37×#353511yescharacteristic
1451C2C37×#353911yescharacteristic
1452C2C37×#354111yescharacteristic
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
2. C37×#2848C2semidirect
3. C37×#2748C2semidirect
4. C37×#2747C2semidirect
5. C37×#2740C2semidirect
6. C37×#2739C2semidirect
7. C37×#2738C2semidirect
8. C37×#2738C2semidirect
9. C37×#2735C2semidirect
10. C37×#2735C2semidirect
11. C37×#2704C2semidirect
12. C37×#2702C2semidirect
14. C37×#2695C2semidirect
15. C37×#2694C2semidirect
16. C37×#2689C2semidirect
17. C37×#2687C2semidirect
19. C37×#2667C2semidirect
20. C37×#2663C2semidirect
21. C37×#2597C2semidirect
22. C37×#2587C2semidirect
23. C37×#2587C2semidirect
24. C37×#2578C2semidirect
25. C37×#2479C2semidirect
26. C37×#2478C2semidirect
27. C37×#2475C2semidirect
28. C37×#2470C2semidirect
29. C37×#2335C2semidirect
30. C37×#2332C2semidirect
31. C37×#2280C2semidirect
34. C2×#126×C37C22semidirect
35. C2×#125×C37C22semidirect
45. C37×#400C22semidirect
46. C37×#400C22semidirect
47. C37×#400C22semidirect
48. C37×#400C22semidirect
49. C37×#400C22semidirect
50. C37×#400C22semidirect
51. C37×#400C22semidirect
55. C37×#399C22semidirect
56. C37×#399C22semidirect
57. C37×#398C22semidirect
58. C37×#398C22semidirect
59. C37×#398C22semidirect
60. C37×#398C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
75. C37×#397C22semidirect
76. C37×#397C22semidirect
84. C37×#396C22semidirect
85. C37×#395C22semidirect
92. C37×#393C22semidirect
93. C37×#391C22semidirect
94. C37×#391C22semidirect
98. C37×#389C22semidirect
99. C37×#389C22semidirect
100. C37×#389C22semidirect
101. C37×#389C22semidirect
102. C37×#389C22semidirect
103. C37×#389C22semidirect
104. C37×#389C22semidirect
105. C37×#389C22semidirect
106. C37×#389C22semidirect
124. C37×#388C22semidirect
125. C37×#388C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#388C22semidirect
129. C37×#387C22semidirect
130. C37×#387C22semidirect
131. C37×#387C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
135. C37×#387C22semidirect
136. C37×#387C22semidirect
137. C37×#387C22semidirect
138. C37×#387C22semidirect
139. C37×#387C22semidirect
140. C37×#387C22semidirect
141. C37×#387C22semidirect
142. C37×#387C22semidirect
159. C37×#385C22semidirect
160. C37×#385C22semidirect
161. C37×#383C22semidirect
173. C37×#380C22semidirect
179. C4×C4⋊C4×C37C22semidirect
180. C4×C4⋊C4×C37C22semidirect
181. C4×C4⋊C4×C37C22semidirect
186. C4×C22⋊C4×C37C22semidirect
652. #36736C37direct (N × H)
717. #2848C2×C37semidirect
718. #2748C2×C37semidirect
719. #2747C2×C37semidirect
720. #2740C2×C37semidirect
721. #2739C2×C37semidirect
722. #2738C2×C37semidirect
723. #2738C2×C37semidirect
724. #2735C2×C37semidirect
725. #2735C2×C37semidirect
726. #2704C2×C37semidirect
727. #2702C2×C37semidirect
729. #2695C2×C37semidirect
730. #2694C2×C37semidirect
731. #2689C2×C37semidirect
732. #2687C2×C37semidirect
734. #2667C2×C37semidirect
735. #2663C2×C37semidirect
736. #2597C2×C37semidirect
737. #2587C2×C37semidirect
738. #2587C2×C37semidirect
739. #2578C2×C37semidirect
740. #2479C2×C37semidirect
741. #2478C2×C37semidirect
742. #2475C2×C37semidirect
743. #2470C2×C37semidirect
744. #2335C2×C37semidirect
745. #2332C2×C37semidirect
746. #2280C2×C37semidirect
760. C2×#126C22×C37semidirect
761. C2×#125C22×C37semidirect
771. #400C22×C37semidirect
772. #400C22×C37semidirect
773. #400C22×C37semidirect
774. #400C22×C37semidirect
775. #400C22×C37semidirect
776. #400C22×C37semidirect
777. #400C22×C37semidirect
781. #399C22×C37semidirect
782. #399C22×C37semidirect
783. #398C22×C37semidirect
784. #398C22×C37semidirect
785. #398C22×C37semidirect
786. #398C22×C37semidirect
787. #398C22×C37semidirect
788. #398C22×C37semidirect
789. #398C22×C37semidirect
790. #398C22×C37semidirect
791. #398C22×C37semidirect
792. #398C22×C37semidirect
801. #397C22×C37semidirect
802. #397C22×C37semidirect
810. #396C22×C37semidirect
811. #395C22×C37semidirect
818. #393C22×C37semidirect
819. #391C22×C37semidirect
820. #391C22×C37semidirect
824. #389C22×C37semidirect
825. #389C22×C37semidirect
826. #389C22×C37semidirect
827. #389C22×C37semidirect
828. #389C22×C37semidirect
829. #389C22×C37semidirect
830. #389C22×C37semidirect
831. #389C22×C37semidirect
832. #389C22×C37semidirect
850. #388C22×C37semidirect
851. #388C22×C37semidirect
852. #388C22×C37semidirect
853. #388C22×C37semidirect
854. #388C22×C37semidirect
855. #387C22×C37semidirect
856. #387C22×C37semidirect
857. #387C22×C37semidirect
858. #387C22×C37semidirect
859. #387C22×C37semidirect
860. #387C22×C37semidirect
861. #387C22×C37semidirect
862. #387C22×C37semidirect
863. #387C22×C37semidirect
864. #387C22×C37semidirect
865. #387C22×C37semidirect
866. #387C22×C37semidirect
867. #387C22×C37semidirect
868. #387C22×C37semidirect
885. #385C22×C37semidirect
886. #385C22×C37semidirect
887. #383C22×C37semidirect
899. #380C22×C37semidirect
905. C4×C4⋊C4C22×C37semidirect
906. C4×C4⋊C4C22×C37semidirect
907. C4×C4⋊C4C22×C37semidirect
912. C4×C22⋊C4C22×C37semidirect
913. C37#36736direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28492
C37×#28482
C37×#27482
C37×#27472
C37×#27402
C37×#27392
C37×#27382
C37×#27352
C37×#27042
C37×#27022
C37×#26972
C37×#26952
C37×#26942
C37×#26892
C37×#26872
C37×#26852
C37×#26672
C37×#26632
C37×#25972
C37×#25872
C37×#25782
C37×#24792
C37×#24782
C37×#24752
C37×#24702
C37×#23352
C37×#23322
C37×#22802
#3673637