Finite Group Databasebeta

← C37×#36734 #22657987

Subgroups — C37×#36734 #22657987

Order 9472.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2849C211yesmaximal, characteristic, complemented
2C37×#2847C211yesmaximal, characteristic, complemented
3C37×#2746C211yesmaximal, characteristic, complemented
4C37×#2746C211yesmaximal, characteristic, complemented
5C37×#2744C211yesmaximal, characteristic, complemented
6C37×#2743C211yesmaximal, characteristic, complemented
7C37×#2741C211yesmaximal, characteristic, complemented
8C37×#2722C211yesmaximal, characteristic, complemented
9C37×#2706C211yesmaximal, characteristic, complemented
10C37×#2705C211yesmaximal, characteristic, complemented
11C37×#2701C211yesmaximal, characteristic, complemented
12C37×#2699C211yesmaximal, characteristic, complemented
13C37×#2691C211yesmaximal, characteristic, complemented
14C37×#2685C211yesmaximal, characteristic, complemented
15C37×#2685C211yesmaximal, characteristic, complemented
16C37×#2678C211yesmaximal, characteristic, complemented
17C37×#2671C211yesmaximal, characteristic, complemented
18C37×#2668C211yesmaximal, characteristic, complemented
19C37×#2667C211yesmaximal, characteristic, complemented
20C37×#2661C211yesmaximal, characteristic, complemented
21C37×#2595C211yesmaximal, characteristic, complemented
22C37×#2576C211yesmaximal, characteristic, complemented
23C37×#2559C211yesmaximal, characteristic, complemented
24C37×#2559C211yesmaximal, characteristic, complemented
25C37×#2479C211yesmaximal, characteristic, complemented
26C37×#2476C211yesmaximal, characteristic, complemented
27C37×#2471C211yesmaximal, characteristic, complemented
28C37×#2470C211yesmaximal, characteristic, complemented
29C37×#2335C211yesmaximal, characteristic, complemented
30C37×#2333C211yesmaximal, characteristic, complemented
31C37×#2280C211yesmaximal, characteristic, complemented
32C24×C4×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#126×C37C2211yescharacteristic, complemented
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#123×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic, complemented
40C2×#121×C37C2211yescharacteristic
41C2×#121×C37C2211yescharacteristic
42C2×#121×C37C2211yescharacteristic
43C2×#121×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×#121×C37C2211yescharacteristic
46C2×#120×C37C2211yescharacteristic
47C2×#120×C37C2211yescharacteristic
48C2×#120×C37C2211yescharacteristic
49C2×#117×C37C2211yescharacteristic
50C2×#117×C37C2211yescharacteristic
51C37×#401C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#400C2211yescharacteristic, complemented
56C37×#399C2211yescharacteristic
57C37×#399C2211yescharacteristic
58C37×#399C2211yescharacteristic
59C37×#399C2211yescharacteristic, complemented
60C37×#399C2211yescharacteristic, complemented
61C37×#398C2211yescharacteristic, complemented
62C37×#398C2211yescharacteristic, complemented
63C37×#398C2211yescharacteristic, complemented
64C37×#398C2211yescharacteristic, complemented
65C37×#398C2211yescharacteristic, complemented
66C37×#398C2211yescharacteristic, complemented
67C37×#398C2211yescharacteristic, complemented
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic, complemented
72C37×#397C2211yescharacteristic, complemented
73C37×#397C2211yescharacteristic, complemented
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic, complemented
78C37×#396C2211yescharacteristic, complemented
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#394C2211yescharacteristic, complemented
92C37×#394C2211yescharacteristic, complemented
93C37×#394C2211yescharacteristic, complemented
94C37×#394C2211yescharacteristic, complemented
95C37×#392C2211yescharacteristic
96C37×#392C2211yescharacteristic
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic, complemented
99C37×#390C2211yescharacteristic
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#390C2211yescharacteristic
103C37×#390C2211yescharacteristic
104C37×#390C2211yescharacteristic
105C37×#390C2211yescharacteristic, complemented
106C37×#390C2211yescharacteristic, complemented
107C37×#389C2211yescharacteristic, complemented
108C37×#389C2211yescharacteristic, complemented
109C37×#389C2211yescharacteristic, complemented
110C37×#389C2211yescharacteristic, complemented
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic, complemented
119C37×#388C2211yescharacteristic, complemented
120C37×#388C2211yescharacteristic, complemented
121C37×#388C2211yescharacteristic, complemented
122C37×#388C2211yescharacteristic, complemented
123C37×#388C2211yescharacteristic, complemented
124C37×#388C2211yescharacteristic, complemented
125C37×#388C2211yescharacteristic, complemented
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#387C2211yescharacteristic, 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×#386C2211yescharacteristic
138C37×#386C2211yescharacteristic
139C37×#386C2211yescharacteristic
140C37×#386C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic, complemented
153C37×#386C2211yescharacteristic, complemented
154C37×#385C2211yescharacteristic
155C37×#385C2211yescharacteristic
156C37×#385C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic, complemented
159C37×#385C2211yescharacteristic, complemented
160C37×#385C2211yescharacteristic, complemented
161C37×#385C2211yescharacteristic, complemented
162C37×#385C2211yescharacteristic, complemented
163C37×#382C2211yescharacteristic, complemented
164C37×#381C2211yescharacteristic
165C37×#381C2211yescharacteristic
166C37×#381C2211yescharacteristic
167C37×#381C2211yescharacteristic
168C37×#381C2211yescharacteristic, complemented
169C37×#380C2211yescharacteristic
170C37×#380C2211yescharacteristic
171C37×#380C2211yescharacteristic
172C37×#380C2211yescharacteristic
173C37×#380C2211yescharacteristic
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#379C2211yescharacteristic
177C37×#379C2211yescharacteristic
178C37×#379C2211yescharacteristic
179C4×C4⋊C4×C37C2211yescharacteristic, complemented
180C4×C22⋊C4×C37C2211yescharacteristic
181C4×C22⋊C4×C37C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic, complemented
185C4×C22⋊C4×C37C2211yescharacteristic, complemented
186C4×C22⋊C4×C37C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×D4×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C23×C4×C37—24no—
201C23×C4×C37—42no—
202C23×C4×C37—42no—
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212#126×C37—42no—
213#126×C37—42no—
214#126×C37—42no—
215#123×C37—24no—
216#123×C37—42no—
217#123×C37—42no—
218#123×C37—42no—
219#121×C37—24no—
220#121×C37—42no—
221#121×C37—42no—
222#121×C37—42no—
223#121×C37—42no—
224#121×C37—42no—
225#120×C37—42no—
226#120×C37—42no—
227#120×C37—42no—
228#117×C37—42no—
229#117×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊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×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×C37C2311yescharacteristic
319C2×C42×C37C2311yescharacteristic
320C2×C42×C37C2311yescharacteristic
321C2×C42×C37C2311yescharacteristic
322C2×C42×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
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363C24×C37—22no—
364C24×C37—22no—
365C24×C37—22no—
366C24×C37—41no—
367C24×C37—41no—
368C24×C37—41no—
369C24×C37—41no—
370C24×C37C2411yescharacteristic
371C24×C37C2411yescharacteristic
372C24×C37C2411yescharacteristic
373C24×C37C2411yescharacteristic
374C24×C37C2411yescharacteristic
375C24×C37C2411yescharacteristic
376C2×D4×C37—22no—
377C2×D4×C37—22no—
378C2×D4×C37—22no—
379C2×D4×C37—22no—
380C2×D4×C37—22no—
381C2×D4×C37—22no—
382C2×D4×C37—22no—
383C2×D4×C37—22no—
384C2×D4×C37—22no—
385C2×D4×C37—22no—
386C2×D4×C37—41no—
387C2×D4×C37—41no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37—41no—
393C2×D4×C37—41no—
394C2×D4×C37—41no—
395C2×D4×C37—41no—
396C2×D4×C37—41no—
397C2×D4×C37—41no—
398C2×D4×C37—41no—
399C2×D4×C37—41no—
400C2×D4×C37—41no—
401C2×D4×C37—41no—
402C2×D4×C37—41no—
403C2×D4×C37—41no—
404C2×D4×C37—41no—
405C2×D4×C37—41no—
406C2×D4×C37—41no—
407C2×D4×C37—41no—
408C2×D4×C37—41no—
409C2×D4×C37—41no—
410C2×D4×C37—41no—
411C2×D4×C37—41no—
412C22×C4×C37—22no—
413C22×C4×C37—22no—
414C22×C4×C37—22no—
415C22×C4×C37—22no—
416C22×C4×C37—22no—
417C22×C4×C37—22no—
418C22×C4×C37—22no—
419C22×C4×C37—22no—
420C22×C4×C37—22no—
421C22×C4×C37—22no—
422C22×C4×C37—41no—
423C22×C4×C37—41no—
424C22×C4×C37—41no—
425C22×C4×C37—41no—
426C22×C4×C37—41no—
427C22×C4×C37—41no—
428C22×C4×C37—41no—
429C22×C4×C37—41no—
430C22×C4×C37—41no—
431C22×C4×C37—41no—
432C22×C4×C37—41no—
433C22×C4×C37—41no—
434C22×C4×C37—41no—
435C22×C4×C37—41no—
436C22×C4×C37—41no—
437C22×C4×C37—41no—
438C22×C4×C37—416no—
439C22×C4×C37#4114yes—
440C22×C4×C37C2411yescharacteristic
441C22×C4×C37C2411yescharacteristic
442C22×C4×C37C2411yescharacteristic
443C22×C4×C37C2411yescharacteristic
444C22×C4×C37C2411yescharacteristic
445C22×C4×C37C2411yescharacteristic
446C22×C4×C37C2411yescharacteristic
447C22×C4×C37C2411yescharacteristic
448C22×C4×C37C2411yescharacteristic
449C22×C4×C37C2411yescharacteristic
450C22×C4×C37C2411yescharacteristic
451C22×C4×C37C2411yescharacteristic
452C22×C4×C37C2411yescharacteristic
453C22×C4×C37C2411yescharacteristic
454C22×C4×C37C2411yescharacteristic
455C22×C4×C37C2411yescharacteristic
456C22×C4×C37C2411yescharacteristic
457C22×C4×C37C2411yescharacteristic
458C22×C4×C37C2411yescharacteristic
459C22×C4×C37C2411yescharacteristic
460C22×C4×C37C2411yescharacteristic
461C22×C4×C37C2411yescharacteristic
462C22×C4×C37C2411yescharacteristic
463C22×C4×C37C2411yescharacteristic
464C22×C4×C37C2411yescharacteristic
465C4⋊C4×C37—22no—
466C4⋊C4×C37—22no—
467C4⋊C4×C37—22no—
468C4⋊C4×C37—22no—
469C4⋊C4×C37—22no—
470C4⋊C4×C37—22no—
471C4⋊C4×C37—41no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
476C4⋊C4×C37—41no—
477C4⋊C4×C37—41no—
478C4⋊C4×C37—41no—
479C4⋊C4×C37—41no—
480C4⋊C4×C37—41no—
481C4⋊C4×C37—41no—
482C4⋊C4×C37—41no—
483C4⋊C4×C37—41no—
484C4⋊C4×C37—41no—
485C4⋊C4×C37—41no—
486C4⋊C4×C37—41no—
487C4⋊C4×C37—41no—
488C4⋊C4×C37—41no—
489C4⋊C4×C37—41no—
490C4⋊C4×C37—41no—
491C4⋊C4×C37—41no—
492C4⋊C4×C37—41no—
493C4⋊C4×C37—41no—
494C4⋊C4×C37—41no—
495C22⋊C4×C37—22no—
496C22⋊C4×C37—22no—
497C22⋊C4×C37—22no—
498C22⋊C4×C37—22no—
499C22⋊C4×C37—22no—
500C22⋊C4×C37—22no—
501C22⋊C4×C37—22no—
502C22⋊C4×C37—22no—
503C22⋊C4×C37—22no—
504C22⋊C4×C37—22no—
505C22⋊C4×C37—22no—
506C22⋊C4×C37—22no—
507C22⋊C4×C37—22no—
508C22⋊C4×C37—22no—
509C22⋊C4×C37—22no—
510C22⋊C4×C37—22no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C22⋊C4×C37—41no—
522C22⋊C4×C37—41no—
523C22⋊C4×C37—41no—
524C22⋊C4×C37—41no—
525C22⋊C4×C37—41no—
526C22⋊C4×C37—41no—
527C22⋊C4×C37—41no—
528C22⋊C4×C37—41no—
529C22⋊C4×C37—41no—
530C22⋊C4×C37—41no—
531C22⋊C4×C37—41no—
532C22⋊C4×C37—41no—
533C22⋊C4×C37—41no—
534C22⋊C4×C37—41no—
535C22⋊C4×C37—41no—
536C22⋊C4×C37—41no—
537C22⋊C4×C37—41no—
538C22⋊C4×C37—41no—
539C22⋊C4×C37—41no—
540C22⋊C4×C37—41no—
541C22⋊C4×C37—41no—
542C22⋊C4×C37—41no—
543C22⋊C4×C37—41no—
544C22⋊C4×C37—41no—
545C22⋊C4×C37—41no—
546C22⋊C4×C37—41no—
547C22⋊C4×C37—41no—
548C22⋊C4×C37—41no—
549C42×C37—41no—
550C42×C37—41no—
551C42×C37—41no—
552C42×C37—41no—
553C42×C37—41no—
554C42×C37—41no—
555C42×C37—41no—
556C42×C37—41no—
557C42×C37—41no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—21no—
567C23×C37—21no—
568C23×C37—21no—
569C23×C37—21no—
570C23×C37—21no—
571C23×C37—21no—
572C23×C37—21no—
573C23×C37—21no—
574C23×C37—21no—
575C23×C37—21no—
576C23×C37—21no—
577C23×C37—21no—
578C23×C37—21no—
579C23×C37—21no—
580C23×C37—21no—
581C23×C37—21no—
582C23×C37—21no—
583C23×C37—21no—
584C23×C37—21no—
585C23×C37—21no—
586C23×C37—21no—
587C23×C37—21no—
588C23×C37—21no—
589C23×C37—21no—
590C23×C37—21no—
591C23×C37—21no—
592C23×C37—21no—
593C23×C37—21no—
594C23×C37—21no—
595C23×C37—21no—
596C23×C37—21no—
597C23×C37—44no—
598C23×C37—44no—
599C23×C37—44no—
600C23×C37—44no—
601C23×C37—44no—
602C23×C37—44no—
603C23×C37—44no—
604C23×C37C2×#4112yes—
605C23×C37H(5,𝔽2)12yes—
606C23×C37H(5,𝔽2)12yes—
607C23×C37C2511yescharacteristic
608D4×C37—82no—
609D4×C37—82no—
610D4×C37—82no—
611D4×C37—82no—
612D4×C37—82no—
613D4×C37—82no—
614D4×C37—82no—
615D4×C37—82no—
616D4×C37—82no—
617D4×C37—82no—
618D4×C37—82no—
619D4×C37—82no—
620C2×C4×C37—28no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—21no—
639C2×C4×C37—21no—
640C2×C4×C37—21no—
641C2×C4×C37—21no—
642C2×C4×C37—21no—
643C2×C4×C37—21no—
644C2×C4×C37—21no—
645C2×C4×C37—21no—
646C2×C4×C37—21no—
647C2×C4×C37—21no—
648C2×C4×C37—21no—
649C2×C4×C37—21no—
650C2×C4×C37—21no—
651C2×C4×C37—21no—
652C2×C4×C37—21no—
653C2×C4×C37—21no—
654C2×C4×C37—21no—
655C2×C4×C37—21no—
656C2×C4×C37—21no—
657C2×C4×C37—21no—
658C2×C4×C37—21no—
659C2×C4×C37—21no—
660C2×C4×C37—21no—
661C2×C4×C37—21no—
662C2×C4×C37—21no—
663C2×C4×C37—21no—
664C2×C4×C37—21no—
665C2×C4×C37—21no—
666C2×C4×C37—21no—
667C2×C4×C37—21no—
668C2×C4×C37—21no—
669C2×C4×C37—21no—
670C2×C4×C37—21no—
671C2×C4×C37—21no—
672C2×C4×C37—21no—
673C2×C4×C37—21no—
674C2×C4×C37—21no—
675C2×C4×C37—21no—
676C2×C4×C37—21no—
677C2×C4×C37—21no—
678C2×C4×C37—21no—
679C2×C4×C37—21no—
680C2×C4×C37—21no—
681C2×C4×C37—21no—
682C2×C4×C37—21no—
683C2×C4×C37—21no—
684C2×C4×C37—21no—
685C2×C4×C37—21no—
686C2×C4×C37—21no—
687C2×C4×C37—21no—
688C2×C4×C37—21no—
689C2×C4×C37—21no—
690C2×C4×C37—21no—
691C2×C4×C37—21no—
692C2×C4×C37—21no—
693C2×C4×C37—44no—
694C2×C4×C37—44no—
695C2×C4×C37—44no—
696C2×C4×C37—44no—
697C2×C4×C37—44no—
698C2×C4×C37—82no—
699C2×C4×C37—82no—
700C2×C4×C37—82no—
701C2×C4×C37C2×#4112yes—
702C2×C4×C37C2×#4112yes—
703C2×C4×C37H(5,𝔽2)12yes—
704#36734C3711yesmaximal, characteristic, direct product factor, Sylow
705C22×C37—22no—
706C22×C37—22no—
707C22×C37—22no—
708C22×C37—22no—
709C22×C37—22no—
710C22×C37—22no—
711C22×C37—22no—
712C22×C37—22no—
713C22×C37—22no—
714C22×C37—416no—
715C22×C37—41no—
716C22×C37—41no—
717C22×C37—41no—
718C22×C37—41no—
719C22×C37—41no—
720C22×C37—41no—
721C22×C37—41no—
722C22×C37—41no—
723C22×C37—41no—
724C22×C37—41no—
725C22×C37—41no—
726C22×C37—41no—
727C22×C37—41no—
728C22×C37—41no—
729C22×C37—41no—
730C22×C37—41no—
731C22×C37—41no—
732C22×C37—41no—
733C22×C37—41no—
734C22×C37—41no—
735C22×C37—41no—
736C22×C37—41no—
737C22×C37—41no—
738C22×C37—41no—
739C22×C37—41no—
740C22×C37—41no—
741C22×C37—41no—
742C22×C37—41no—
743C22×C37—41no—
744C22×C37—41no—
745C22×C37—41no—
746C22×C37—41no—
747C22×C37—41no—
748C22×C37C22×#4111yescharacteristic
749C22×C37C2×H(5,𝔽2)11yescharacteristic
750C22×C37C2×H(5,𝔽2)11yescharacteristic
751C22×C37C2×H(5,𝔽2)11yescharacteristic
752C22×C37#58511yescharacteristic
753C22×C37#58511yescharacteristic
754C22×C37#58511yescharacteristic
755C4×C37—22no—
756C4×C37—22no—
757C4×C37—22no—
758C4×C37—41no—
759C4×C37—41no—
760C4×C37—41no—
761C4×C37—41no—
762C4×C37—41no—
763C4×C37—41no—
764C4×C37—41no—
765C4×C37—41no—
766C4×C37—41no—
767C4×C37—41no—
768C4×C37—41no—
769C4×C37—41no—
770C4×C37—41no—
771C4×C37—41no—
772C4×C37—41no—
773C4×C37—41no—
774C4×C37—41no—
775C4×C37—41no—
776C4×C37—41no—
777C4×C37—41no—
778C4×C37—41no—
779C4×C37—41no—
780#2849C2×C3711yescharacteristic, complemented
781#2847C2×C3711yescharacteristic, complemented
782#2746C2×C3711yescharacteristic, complemented
783#2746C2×C3711yescharacteristic, complemented
784#2744C2×C3711yescharacteristic, complemented
785#2743C2×C3711yescharacteristic, complemented
786#2741C2×C3711yescharacteristic, complemented
787#2722C2×C3711yescharacteristic, complemented
788#2706C2×C3711yescharacteristic, complemented
789#2705C2×C3711yescharacteristic, complemented
790#2701C2×C3711yescharacteristic, complemented
791#2699C2×C3711yescharacteristic, complemented
792#2691C2×C3711yescharacteristic, complemented
793#2685C2×C3711yescharacteristic, complemented
794#2685C2×C3711yescharacteristic, complemented
795#2678C2×C3711yescharacteristic, complemented
796#2671C2×C3711yescharacteristic, complemented
797#2668C2×C3711yescharacteristic, complemented
798#2667C2×C3711yescharacteristic, complemented
799#2661C2×C3711yescharacteristic, complemented
800#2595C2×C3711yescharacteristic, complemented
801#2576C2×C3711yescharacteristic, complemented
802#2559C2×C3711yescharacteristic, complemented
803#2559C2×C3711yescharacteristic, complemented
804#2479C2×C3711yescharacteristic, complemented
805#2476C2×C3711yescharacteristic, complemented
806#2471C2×C3711yescharacteristic, complemented
807#2470C2×C3711yescharacteristic, complemented
808#2335C2×C3711yescharacteristic, complemented
809#2333C2×C3711yescharacteristic, complemented
810#2280C2×C3711yescharacteristic, complemented
811C2×C37—42no—
812C2×C37—42no—
813C2×C37—42no—
814C2×C37—81no—
815C2×C37—81no—
816C2×C37—81no—
817C2×C37#345511yescharacteristic
818C2×C37#349011yescharacteristic
819C2×C37#349411yescharacteristic
820C2×C37#353311yescharacteristic
821C2×C37#353411yescharacteristic
822C2×C37#353911yescharacteristic
823C2×C37#354211yescharacteristic
824C24×C4C22×C3711yescharacteristic
825C2×#126C22×C3711yescharacteristic
826C2×#126C22×C3711yescharacteristic
827C2×#126C22×C3711yescharacteristic, complemented
828C2×#123C22×C3711yescharacteristic
829C2×#123C22×C3711yescharacteristic
830C2×#123C22×C3711yescharacteristic
831C2×#123C22×C3711yescharacteristic, complemented
832C2×#121C22×C3711yescharacteristic
833C2×#121C22×C3711yescharacteristic
834C2×#121C22×C3711yescharacteristic
835C2×#121C22×C3711yescharacteristic
836C2×#121C22×C3711yescharacteristic
837C2×#121C22×C3711yescharacteristic
838C2×#120C22×C3711yescharacteristic
839C2×#120C22×C3711yescharacteristic
840C2×#120C22×C3711yescharacteristic
841C2×#117C22×C3711yescharacteristic
842C2×#117C22×C3711yescharacteristic
843#401C22×C3711yescharacteristic, complemented
844#400C22×C3711yescharacteristic, complemented
845#400C22×C3711yescharacteristic, complemented
846#400C22×C3711yescharacteristic, complemented
847#400C22×C3711yescharacteristic, complemented
848#399C22×C3711yescharacteristic
849#399C22×C3711yescharacteristic
850#399C22×C3711yescharacteristic
851#399C22×C3711yescharacteristic, complemented
852#399C22×C3711yescharacteristic, complemented
853#398C22×C3711yescharacteristic, complemented
854#398C22×C3711yescharacteristic, complemented
855#398C22×C3711yescharacteristic, complemented
856#398C22×C3711yescharacteristic, complemented
857#398C22×C3711yescharacteristic, complemented
858#398C22×C3711yescharacteristic, complemented
859#398C22×C3711yescharacteristic, complemented
860#397C22×C3711yescharacteristic
861#397C22×C3711yescharacteristic
862#397C22×C3711yescharacteristic
863#397C22×C3711yescharacteristic, complemented
864#397C22×C3711yescharacteristic, complemented
865#397C22×C3711yescharacteristic, complemented
866#396C22×C3711yescharacteristic
867#396C22×C3711yescharacteristic
868#396C22×C3711yescharacteristic
869#396C22×C3711yescharacteristic, complemented
870#396C22×C3711yescharacteristic, complemented
871#394C22×C3711yescharacteristic
872#394C22×C3711yescharacteristic
873#394C22×C3711yescharacteristic
874#394C22×C3711yescharacteristic
875#394C22×C3711yescharacteristic
876#394C22×C3711yescharacteristic
877#394C22×C3711yescharacteristic
878#394C22×C3711yescharacteristic
879#394C22×C3711yescharacteristic
880#394C22×C3711yescharacteristic
881#394C22×C3711yescharacteristic
882#394C22×C3711yescharacteristic
883#394C22×C3711yescharacteristic, complemented
884#394C22×C3711yescharacteristic, complemented
885#394C22×C3711yescharacteristic, complemented
886#394C22×C3711yescharacteristic, complemented
887#392C22×C3711yescharacteristic
888#392C22×C3711yescharacteristic
889#392C22×C3711yescharacteristic
890#392C22×C3711yescharacteristic, complemented
891#390C22×C3711yescharacteristic
892#390C22×C3711yescharacteristic
893#390C22×C3711yescharacteristic
894#390C22×C3711yescharacteristic
895#390C22×C3711yescharacteristic
896#390C22×C3711yescharacteristic
897#390C22×C3711yescharacteristic, complemented
898#390C22×C3711yescharacteristic, complemented
899#389C22×C3711yescharacteristic, complemented
900#389C22×C3711yescharacteristic, complemented
901#389C22×C3711yescharacteristic, complemented
902#389C22×C3711yescharacteristic, complemented
903#388C22×C3711yescharacteristic
904#388C22×C3711yescharacteristic
905#388C22×C3711yescharacteristic
906#388C22×C3711yescharacteristic
907#388C22×C3711yescharacteristic
908#388C22×C3711yescharacteristic
909#388C22×C3711yescharacteristic
910#388C22×C3711yescharacteristic, complemented
911#388C22×C3711yescharacteristic, complemented
912#388C22×C3711yescharacteristic, complemented
913#388C22×C3711yescharacteristic, complemented
914#388C22×C3711yescharacteristic, complemented
915#388C22×C3711yescharacteristic, complemented
916#388C22×C3711yescharacteristic, complemented
917#388C22×C3711yescharacteristic, complemented
918#388C22×C3711yescharacteristic, complemented
919#388C22×C3711yescharacteristic, complemented
920#387C22×C3711yescharacteristic, complemented
921#387C22×C3711yescharacteristic, complemented
922#387C22×C3711yescharacteristic, complemented
923#387C22×C3711yescharacteristic, complemented
924#387C22×C3711yescharacteristic, complemented
925#387C22×C3711yescharacteristic, complemented
926#387C22×C3711yescharacteristic, complemented
927#387C22×C3711yescharacteristic, complemented
928#387C22×C3711yescharacteristic, complemented
929#386C22×C3711yescharacteristic
930#386C22×C3711yescharacteristic
931#386C22×C3711yescharacteristic
932#386C22×C3711yescharacteristic
933#386C22×C3711yescharacteristic
934#386C22×C3711yescharacteristic
935#386C22×C3711yescharacteristic
936#386C22×C3711yescharacteristic
937#386C22×C3711yescharacteristic
938#386C22×C3711yescharacteristic
939#386C22×C3711yescharacteristic
940#386C22×C3711yescharacteristic
941#386C22×C3711yescharacteristic
942#386C22×C3711yescharacteristic
943#386C22×C3711yescharacteristic
944#386C22×C3711yescharacteristic, complemented
945#386C22×C3711yescharacteristic, complemented
946#385C22×C3711yescharacteristic
947#385C22×C3711yescharacteristic
948#385C22×C3711yescharacteristic
949#385C22×C3711yescharacteristic
950#385C22×C3711yescharacteristic, complemented
951#385C22×C3711yescharacteristic, complemented
952#385C22×C3711yescharacteristic, complemented
953#385C22×C3711yescharacteristic, complemented
954#385C22×C3711yescharacteristic, complemented
955#382C22×C3711yescharacteristic, complemented
956#381C22×C3711yescharacteristic
957#381C22×C3711yescharacteristic
958#381C22×C3711yescharacteristic
959#381C22×C3711yescharacteristic
960#381C22×C3711yescharacteristic, complemented
961#380C22×C3711yescharacteristic
962#380C22×C3711yescharacteristic
963#380C22×C3711yescharacteristic
964#380C22×C3711yescharacteristic
965#380C22×C3711yescharacteristic
966#380C22×C3711yescharacteristic
967#380C22×C3711yescharacteristic
968#379C22×C3711yescharacteristic
969#379C22×C3711yescharacteristic
970#379C22×C3711yescharacteristic
971C4×C4⋊C4C22×C3711yescharacteristic, complemented
972C4×C22⋊C4C22×C3711yescharacteristic
973C4×C22⋊C4C22×C3711yescharacteristic
974C4×C22⋊C4C22×C3711yescharacteristic
975C4×C22⋊C4C22×C3711yescharacteristic
976C4×C22⋊C4C22×C3711yescharacteristic, complemented
977C4×C22⋊C4C22×C3711yescharacteristic, complemented
978C4×C22⋊C4C22×C3711yescharacteristic, complemented
979C37#3673411yescharacteristic, direct product factor, Sylow
980C25C23×C3711yescharacteristic
981C22×D4C23×C3711yescharacteristic
982C22×D4C23×C3711yescharacteristic
983C22×D4C23×C3711yescharacteristic
984C22×D4C23×C3711yescharacteristic
985C22×D4C23×C3711yescharacteristic
986C22×D4C23×C3711yescharacteristic
987C22×D4C23×C3711yescharacteristic
988C22×D4C23×C3711yescharacteristic
989C22×D4C23×C3711yescharacteristic
990C22×D4C23×C3711yescharacteristic
991C22×D4C23×C3711yescharacteristic
992C22×D4C23×C3711yescharacteristic
993C23×C4—24no—
994C23×C4—42no—
995C23×C4—42no—
996C23×C4C23×C3711yescharacteristic
997C23×C4C23×C3711yescharacteristic
998C23×C4C23×C3711yescharacteristic
999C23×C4C23×C3711yescharacteristic
1000C23×C4C23×C3711yescharacteristic
1001C23×C4C23×C3711yescharacteristic
1002C23×C4C23×C3711yescharacteristic
1003C23×C4C23×C3711yescharacteristic
1004C23×C4C23×C3711yescharacteristic
1005#126—42no—
1006#126—42no—
1007#126—42no—
1008#123—24no—
1009#123—42no—
1010#123—42no—
1011#123—42no—
1012#121—24no—
1013#121—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#121—42no—
1018#120—42no—
1019#120—42no—
1020#120—42no—
1021#117—42no—
1022#117—42no—
1023C2×C4⋊C4C23×C3711yescharacteristic
1024C2×C4⋊C4C23×C3711yescharacteristic
1025C2×C4⋊C4C23×C3711yescharacteristic
1026C2×C4⋊C4C23×C3711yescharacteristic
1027C2×C4⋊C4C23×C3711yescharacteristic
1028C2×C4⋊C4C23×C3711yescharacteristic
1029C2×C4⋊C4C23×C3711yescharacteristic
1030C2×C4⋊C4C23×C3711yescharacteristic
1031C2×C4⋊C4C23×C3711yescharacteristic
1032C2×C4⋊C4C23×C3711yescharacteristic
1033C2×C4⋊C4C23×C3711yescharacteristic
1034C2×C4⋊C4C23×C3711yescharacteristic
1035C2×C4⋊C4C23×C3711yescharacteristic
1036C2×C4⋊C4C23×C3711yescharacteristic
1037C2×C4⋊C4C23×C3711yescharacteristic
1038C2×C4⋊C4C23×C3711yescharacteristic
1039C2×C4⋊C4C23×C3711yescharacteristic
1040C2×C4⋊C4C23×C3711yescharacteristic
1041C2×C4⋊C4C23×C3711yescharacteristic
1042C2×C4⋊C4C23×C3711yescharacteristic
1043C2×C4⋊C4C23×C3711yescharacteristic
1044C2×C4⋊C4C23×C3711yescharacteristic
1045C2×C4⋊C4C23×C3711yescharacteristic
1046C2×C4⋊C4C23×C3711yescharacteristic
1047C2×C4⋊C4C23×C3711yescharacteristic
1048C2×C4⋊C4C23×C3711yescharacteristic
1049C2×C4⋊C4C23×C3711yescharacteristic
1050C2×C4⋊C4C23×C3711yescharacteristic
1051C2×C4⋊C4C23×C3711yescharacteristic
1052C2×C4⋊C4C23×C3711yescharacteristic
1053C2×C22⋊C4C23×C3711yescharacteristic
1054C2×C22⋊C4C23×C3711yescharacteristic
1055C2×C22⋊C4C23×C3711yescharacteristic
1056C2×C22⋊C4C23×C3711yescharacteristic
1057C2×C22⋊C4C23×C3711yescharacteristic
1058C2×C22⋊C4C23×C3711yescharacteristic
1059C2×C22⋊C4C23×C3711yescharacteristic
1060C2×C22⋊C4C23×C3711yescharacteristic
1061C2×C22⋊C4C23×C3711yescharacteristic
1062C2×C22⋊C4C23×C3711yescharacteristic
1063C2×C22⋊C4C23×C3711yescharacteristic
1064C2×C22⋊C4C23×C3711yescharacteristic
1065C2×C22⋊C4C23×C3711yescharacteristic
1066C2×C22⋊C4C23×C3711yescharacteristic
1067C2×C22⋊C4C23×C3711yescharacteristic
1068C2×C22⋊C4C23×C3711yescharacteristic
1069C2×C22⋊C4C23×C3711yescharacteristic
1070C2×C22⋊C4C23×C3711yescharacteristic
1071C2×C22⋊C4C23×C3711yescharacteristic
1072C2×C22⋊C4C23×C3711yescharacteristic
1073C2×C22⋊C4C23×C3711yescharacteristic
1074C2×C22⋊C4C23×C3711yescharacteristic
1075C2×C22⋊C4C23×C3711yescharacteristic
1076C2×C22⋊C4C23×C3711yescharacteristic
1077C2×C22⋊C4C23×C3711yescharacteristic
1078C2×C22⋊C4C23×C3711yescharacteristic
1079C2×C22⋊C4C23×C3711yescharacteristic
1080C2×C22⋊C4C23×C3711yescharacteristic
1081C2×C22⋊C4C23×C3711yescharacteristic
1082C2×C22⋊C4C23×C3711yescharacteristic
1083C2×C22⋊C4C23×C3711yescharacteristic
1084C2×C22⋊C4C23×C3711yescharacteristic
1085C2×C22⋊C4C23×C3711yescharacteristic
1086C2×C22⋊C4C23×C3711yescharacteristic
1087C2×C22⋊C4C23×C3711yescharacteristic
1088C2×C22⋊C4C23×C3711yescharacteristic
1089C2×C22⋊C4C23×C3711yescharacteristic
1090C2×C22⋊C4C23×C3711yescharacteristic
1091C2×C22⋊C4C23×C3711yescharacteristic
1092C2×C22⋊C4C23×C3711yescharacteristic
1093C2×C22⋊C4C23×C3711yescharacteristic
1094C2×C22⋊C4C23×C3711yescharacteristic
1095C2×C22⋊C4C23×C3711yescharacteristic
1096C2×C22⋊C4C23×C3711yescharacteristic
1097C2×C22⋊C4C23×C3711yescharacteristic
1098C2×C22⋊C4C23×C3711yescharacteristic
1099C2×C22⋊C4C23×C3711yescharacteristic
1100C2×C22⋊C4C23×C3711yescharacteristic
1101C2×C22⋊C4C23×C3711yescharacteristic
1102C2×C22⋊C4C23×C3711yescharacteristic
1103C2×C22⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C42C23×C3711yescharacteristic
1108C2×C42C23×C3711yescharacteristic
1109C2×C42C23×C3711yescharacteristic
1110C2×C42C23×C3711yescharacteristic
1111C2×C42C23×C3711yescharacteristic
1112C2×C42C23×C3711yescharacteristic
1113C2×C42C23×C3711yescharacteristic
1114C2×C42C23×C3711yescharacteristic
1115C2×C42C23×C3711yescharacteristic
1116#95C23×C3711yescharacteristic
1117#95C23×C3711yescharacteristic
1118#95C23×C3711yescharacteristic
1119#95C23×C3711yescharacteristic
1120#95C23×C3711yescharacteristic
1121#95C23×C3711yescharacteristic
1122#95C23×C3711yescharacteristic
1123#95C23×C3711yescharacteristic
1124#95C23×C3711yescharacteristic
1125#95C23×C3711yescharacteristic
1126#95C23×C3711yescharacteristic
1127#95C23×C3711yescharacteristic
1128#95C23×C3711yescharacteristic
1129#95C23×C3711yescharacteristic
1130#95C23×C3711yescharacteristic
1131#95C23×C3711yescharacteristic
1132#95C23×C3711yescharacteristic
1133#95C23×C3711yescharacteristic
1134#95C23×C3711yescharacteristic
1135#95C23×C3711yescharacteristic
1136#95C23×C3711yescharacteristic
1137#95C23×C3711yescharacteristic
1138#95C23×C3711yescharacteristic
1139#95C23×C3711yescharacteristic
1140#95C23×C3711yescharacteristic
1141#95C23×C3711yescharacteristic
1142#95C23×C3711yescharacteristic
1143#95C23×C3711yescharacteristic
1144#95C23×C3711yescharacteristic
1145#95C23×C3711yescharacteristic
1146#95C23×C3711yescharacteristic
1147#95C23×C3711yescharacteristic
1148#95C23×C3711yescharacteristic
1149#95C23×C3711yescharacteristic
1150#95C23×C3711yescharacteristic
1151#95C23×C3711yescharacteristic
1152#95C23×C3711yescharacteristic
1153#95C23×C3711yescharacteristic
1154#95C23×C3711yescharacteristic
1155#95C23×C3711yescharacteristic
1156C24—22no—
1157C24—22no—
1158C24—22no—
1159C24—41no—
1160C24—41no—
1161C24—41no—
1162C24—41no—
1163C24C24×C3711yescharacteristic
1164C24C24×C3711yescharacteristic
1165C24C24×C3711yescharacteristic
1166C24C24×C3711yescharacteristic
1167C24C24×C3711yescharacteristic
1168C24C24×C3711yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—22no—
1173C2×D4—22no—
1174C2×D4—22no—
1175C2×D4—22no—
1176C2×D4—22no—
1177C2×D4—22no—
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—41no—
1197C2×D4—41no—
1198C2×D4—41no—
1199C2×D4—41no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C22×C4—22no—
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—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—416no—
1232C22×C4#41×C3714yes—
1233C22×C4C24×C3711yescharacteristic
1234C22×C4C24×C3711yescharacteristic
1235C22×C4C24×C3711yescharacteristic
1236C22×C4C24×C3711yescharacteristic
1237C22×C4C24×C3711yescharacteristic
1238C22×C4C24×C3711yescharacteristic
1239C22×C4C24×C3711yescharacteristic
1240C22×C4C24×C3711yescharacteristic
1241C22×C4C24×C3711yescharacteristic
1242C22×C4C24×C3711yescharacteristic
1243C22×C4C24×C3711yescharacteristic
1244C22×C4C24×C3711yescharacteristic
1245C22×C4C24×C3711yescharacteristic
1246C22×C4C24×C3711yescharacteristic
1247C22×C4C24×C3711yescharacteristic
1248C22×C4C24×C3711yescharacteristic
1249C22×C4C24×C3711yescharacteristic
1250C22×C4C24×C3711yescharacteristic
1251C22×C4C24×C3711yescharacteristic
1252C22×C4C24×C3711yescharacteristic
1253C22×C4C24×C3711yescharacteristic
1254C22×C4C24×C3711yescharacteristic
1255C22×C4C24×C3711yescharacteristic
1256C22×C4C24×C3711yescharacteristic
1257C22×C4C24×C3711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—44no—
1391C23—44no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—44no—
1396C23—44no—
1397C23C2×#41×C3712yes—
1398C23H(5,𝔽2)×C3712yes—
1399C23H(5,𝔽2)×C3712yes—
1400C23C25×C3711yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—82no—
1405D4—82no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413C2×C4—28no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—82no—
1492C2×C4—82no—
1493C2×C4—82no—
1494C2×C4C2×#41×C3712yes—
1495C2×C4C2×#41×C3712yes—
1496C2×C4H(5,𝔽2)×C3712yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—22no—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—416no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22C22×#41×C3711yescharacteristic
1541C22C2×H(5,𝔽2)×C3711yescharacteristic
1542C22C2×H(5,𝔽2)×C3711yescharacteristic
1543C22C2×H(5,𝔽2)×C3711yescharacteristic
1544C22C37×#58511yescharacteristic
1545C22C37×#58511yescharacteristic
1546C22C37×#58511yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—22no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C2—42no—
1573C2—42no—
1574C2—42no—
1575C2—81no—
1576C2—81no—
1577C2—81no—
1578C2C37×#345511yescharacteristic
1579C2C37×#349011yescharacteristic
1580C2C37×#349411yescharacteristic
1581C2C37×#353311yescharacteristic
1582C2C37×#353411yescharacteristic
1583C2C37×#353911yescharacteristic
1584C2C37×#354211yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2849C2semidirect
2. C37×#2847C2semidirect
3. C37×#2746C2semidirect
4. C37×#2746C2semidirect
5. C37×#2744C2semidirect
6. C37×#2743C2semidirect
7. C37×#2741C2semidirect
8. C37×#2722C2semidirect
9. C37×#2706C2semidirect
10. C37×#2705C2semidirect
11. C37×#2701C2semidirect
12. C37×#2699C2semidirect
13. C37×#2691C2semidirect
14. C37×#2685C2semidirect
15. C37×#2685C2semidirect
16. C37×#2678C2semidirect
17. C37×#2671C2semidirect
18. C37×#2668C2semidirect
19. C37×#2667C2semidirect
20. C37×#2661C2semidirect
21. C37×#2595C2semidirect
22. C37×#2576C2semidirect
23. C37×#2559C2semidirect
24. C37×#2559C2semidirect
25. C37×#2479C2semidirect
26. C37×#2476C2semidirect
27. C37×#2471C2semidirect
28. C37×#2470C2semidirect
29. C37×#2335C2semidirect
30. C37×#2333C2semidirect
31. C37×#2280C2semidirect
35. C2×#126×C37C22semidirect
39. C2×#123×C37C22semidirect
51. C37×#401C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#400C22semidirect
59. C37×#399C22semidirect
60. C37×#399C22semidirect
61. C37×#398C22semidirect
62. C37×#398C22semidirect
63. C37×#398C22semidirect
64. C37×#398C22semidirect
65. C37×#398C22semidirect
66. C37×#398C22semidirect
67. C37×#398C22semidirect
71. C37×#397C22semidirect
72. C37×#397C22semidirect
73. C37×#397C22semidirect
77. C37×#396C22semidirect
78. C37×#396C22semidirect
91. C37×#394C22semidirect
92. C37×#394C22semidirect
93. C37×#394C22semidirect
94. C37×#394C22semidirect
98. C37×#392C22semidirect
105. C37×#390C22semidirect
106. C37×#390C22semidirect
107. C37×#389C22semidirect
108. C37×#389C22semidirect
109. C37×#389C22semidirect
110. C37×#389C22semidirect
118. C37×#388C22semidirect
119. C37×#388C22semidirect
120. C37×#388C22semidirect
121. C37×#388C22semidirect
122. C37×#388C22semidirect
123. C37×#388C22semidirect
124. C37×#388C22semidirect
125. C37×#388C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#387C22semidirect
129. C37×#387C22semidirect
130. C37×#387C22semidirect
131. C37×#387C22semidirect
132. C37×#387C22semidirect
133. C37×#387C22semidirect
134. C37×#387C22semidirect
135. C37×#387C22semidirect
136. C37×#387C22semidirect
152. C37×#386C22semidirect
153. C37×#386C22semidirect
158. C37×#385C22semidirect
159. C37×#385C22semidirect
160. C37×#385C22semidirect
161. C37×#385C22semidirect
162. C37×#385C22semidirect
163. C37×#382C22semidirect
168. C37×#381C22semidirect
179. C4×C4⋊C4×C37C22semidirect
184. C4×C22⋊C4×C37C22semidirect
185. C4×C22⋊C4×C37C22semidirect
186. C4×C22⋊C4×C37C22semidirect
704. #36734C37direct (N × H)
780. #2849C2×C37semidirect
781. #2847C2×C37semidirect
782. #2746C2×C37semidirect
783. #2746C2×C37semidirect
784. #2744C2×C37semidirect
785. #2743C2×C37semidirect
786. #2741C2×C37semidirect
787. #2722C2×C37semidirect
788. #2706C2×C37semidirect
789. #2705C2×C37semidirect
790. #2701C2×C37semidirect
791. #2699C2×C37semidirect
792. #2691C2×C37semidirect
793. #2685C2×C37semidirect
794. #2685C2×C37semidirect
795. #2678C2×C37semidirect
796. #2671C2×C37semidirect
797. #2668C2×C37semidirect
798. #2667C2×C37semidirect
799. #2661C2×C37semidirect
800. #2595C2×C37semidirect
801. #2576C2×C37semidirect
802. #2559C2×C37semidirect
803. #2559C2×C37semidirect
804. #2479C2×C37semidirect
805. #2476C2×C37semidirect
806. #2471C2×C37semidirect
807. #2470C2×C37semidirect
808. #2335C2×C37semidirect
809. #2333C2×C37semidirect
810. #2280C2×C37semidirect
827. C2×#126C22×C37semidirect
831. C2×#123C22×C37semidirect
843. #401C22×C37semidirect
844. #400C22×C37semidirect
845. #400C22×C37semidirect
846. #400C22×C37semidirect
847. #400C22×C37semidirect
851. #399C22×C37semidirect
852. #399C22×C37semidirect
853. #398C22×C37semidirect
854. #398C22×C37semidirect
855. #398C22×C37semidirect
856. #398C22×C37semidirect
857. #398C22×C37semidirect
858. #398C22×C37semidirect
859. #398C22×C37semidirect
863. #397C22×C37semidirect
864. #397C22×C37semidirect
865. #397C22×C37semidirect
869. #396C22×C37semidirect
870. #396C22×C37semidirect
883. #394C22×C37semidirect
884. #394C22×C37semidirect
885. #394C22×C37semidirect
886. #394C22×C37semidirect
890. #392C22×C37semidirect
897. #390C22×C37semidirect
898. #390C22×C37semidirect
899. #389C22×C37semidirect
900. #389C22×C37semidirect
901. #389C22×C37semidirect
902. #389C22×C37semidirect
910. #388C22×C37semidirect
911. #388C22×C37semidirect
912. #388C22×C37semidirect
913. #388C22×C37semidirect
914. #388C22×C37semidirect
915. #388C22×C37semidirect
916. #388C22×C37semidirect
917. #388C22×C37semidirect
918. #388C22×C37semidirect
919. #388C22×C37semidirect
920. #387C22×C37semidirect
921. #387C22×C37semidirect
922. #387C22×C37semidirect
923. #387C22×C37semidirect
924. #387C22×C37semidirect
925. #387C22×C37semidirect
926. #387C22×C37semidirect
927. #387C22×C37semidirect
928. #387C22×C37semidirect
944. #386C22×C37semidirect
945. #386C22×C37semidirect
950. #385C22×C37semidirect
951. #385C22×C37semidirect
952. #385C22×C37semidirect
953. #385C22×C37semidirect
954. #385C22×C37semidirect
955. #382C22×C37semidirect
960. #381C22×C37semidirect
971. C4×C4⋊C4C22×C37semidirect
976. C4×C22⋊C4C22×C37semidirect
977. C4×C22⋊C4C22×C37semidirect
978. C4×C22⋊C4C22×C37semidirect
979. C37#36734direct (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×#28472
C37×#27462
C37×#27442
C37×#27432
C37×#27412
C37×#27222
C37×#27062
C37×#27052
C37×#27012
C37×#26992
C37×#26912
C37×#26852
C37×#26782
C37×#26712
C37×#26682
C37×#26672
C37×#26612
C37×#25952
C37×#25762
C37×#25592
C37×#24792
C37×#24762
C37×#24712
C37×#24702
C37×#23352
C37×#23332
C37×#22802
#3673437