Finite Group Databasebeta

← C37×#36889 #22658142

Subgroups — C37×#36889 #22658142

Order 9472.

1740 conjugacy classes of subgroups.

The subgroup lattice has 1500 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2853C211yesmaximal, characteristic, complemented
2C37×#2852C211yesmaximal, characteristic, complemented
3C37×#2808C211yesmaximal, characteristic, complemented
4C37×#2797C211yesmaximal, characteristic, complemented
5C37×#2795C211yesmaximal, characteristic, complemented
6C37×#2780C211yesmaximal, characteristic, complemented
7C37×#2775C211yesmaximal, characteristic, complemented
8C37×#2757C211yesmaximal, characteristic, complemented
9C37×#2753C211yesmaximal, characteristic, complemented
10C37×#2747C211yesmaximal, characteristic, complemented
11C37×#2740C211yesmaximal, characteristic, complemented
12C37×#2735C211yesmaximal, characteristic, complemented
13C37×#2721C211yesmaximal, characteristic, complemented
14C37×#2707C211yesmaximal, characteristic, complemented
15C37×#2686C211yesmaximal, characteristic, complemented
16C37×#2685C211yesmaximal, characteristic, complemented
17C37×#2684C211yesmaximal, characteristic, complemented
18C37×#2678C211yesmaximal, characteristic
19C37×#2636C211yesmaximal, characteristic, complemented
20C37×#2630C211yesmaximal, characteristic, complemented
21C37×#2531C211yesmaximal, characteristic, complemented
22C37×#2529C211yesmaximal, characteristic, complemented
23C37×#2517C211yesmaximal, characteristic, complemented
24C37×#2480C211yesmaximal, characteristic, complemented
25C37×#2469C211yesmaximal, characteristic, complemented
26C37×#2460C211yesmaximal, characteristic, complemented
27C37×#2458C211yesmaximal, characteristic, complemented
28C37×#2418C211yesmaximal, characteristic, complemented
29C37×#2326C211yesmaximal, characteristic, complemented
30C37×#2321C211yesmaximal, characteristic, complemented
31C4×#121×C37C211yesmaximal, characteristic, complemented
32C2×#126×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#125×C37C2211yescharacteristic, complemented
35C2×#124×C37C2211yescharacteristic
36C2×#123×C37C2211yescharacteristic
37C2×#123×C37C2211yescharacteristic
38C2×#121×C37C2211yescharacteristic
39C2×#120×C37C2211yescharacteristic
40C2×#120×C37C2211yescharacteristic
41C2×C4×Q8×C37C2211yescharacteristic, complemented
42C2×C4×D4×C37C2211yescharacteristic
43C2×C4×D4×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic, complemented
45C22×C22⋊C4×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic, complemented
47C37×#400C2211yescharacteristic, complemented
48C37×#400C2211yescharacteristic, complemented
49C37×#400C2211yescharacteristic, complemented
50C37×#399C2211yescharacteristic
51C37×#399C2211yescharacteristic
52C37×#399C2211yescharacteristic
53C37×#398C2211yescharacteristic, complemented
54C37×#398C2211yescharacteristic, complemented
55C37×#398C2211yescharacteristic, complemented
56C37×#398C2211yescharacteristic, complemented
57C37×#397C2211yescharacteristic
58C37×#397C2211yescharacteristic
59C37×#397C2211yescharacteristic
60C37×#397C2211yescharacteristic
61C37×#397C2211yescharacteristic
62C37×#397C2211yescharacteristic
63C37×#397C2211yescharacteristic
64C37×#397C2211yescharacteristic
65C37×#397C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic, complemented
68C37×#397C2211yescharacteristic, complemented
69C37×#396C2211yescharacteristic
70C37×#396C2211yescharacteristic
71C37×#396C2211yescharacteristic
72C37×#396C2211yescharacteristic
73C37×#396C2211yescharacteristic
74C37×#396C2211yescharacteristic, complemented
75C37×#396C2211yescharacteristic, complemented
76C37×#396C2211yescharacteristic, complemented
77C37×#395C2211yescharacteristic, complemented
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic, complemented
89C37×#394C2211yescharacteristic, complemented
90C37×#393C2211yescharacteristic
91C37×#393C2211yescharacteristic
92C37×#393C2211yescharacteristic, complemented
93C37×#392C2211yescharacteristic
94C37×#392C2211yescharacteristic
95C37×#391C2211yescharacteristic, complemented
96C37×#390C2211yescharacteristic
97C37×#390C2211yescharacteristic
98C37×#390C2211yescharacteristic
99C37×#390C2211yescharacteristic
100C37×#390C2211yescharacteristic
101C37×#390C2211yescharacteristic
102C37×#389C2211yescharacteristic, complemented
103C37×#389C2211yescharacteristic, complemented
104C37×#389C2211yescharacteristic, complemented
105C37×#388C2211yescharacteristic
106C37×#388C2211yescharacteristic
107C37×#388C2211yescharacteristic
108C37×#388C2211yescharacteristic
109C37×#388C2211yescharacteristic
110C37×#388C2211yescharacteristic
111C37×#388C2211yescharacteristic
112C37×#388C2211yescharacteristic
113C37×#388C2211yescharacteristic
114C37×#388C2211yescharacteristic
115C37×#388C2211yescharacteristic
116C37×#388C2211yescharacteristic
117C37×#388C2211yescharacteristic
118C37×#388C2211yescharacteristic
119C37×#388C2211yescharacteristic
120C37×#388C2211yescharacteristic
121C37×#388C2211yescharacteristic
122C37×#388C2211yescharacteristic
123C37×#388C2211yescharacteristic
124C37×#388C2211yescharacteristic
125C37×#388C2211yescharacteristic
126C37×#388C2211yescharacteristic, complemented
127C37×#388C2211yescharacteristic, complemented
128C37×#388C2211yescharacteristic, complemented
129C37×#388C2211yescharacteristic, complemented
130C37×#388C2211yescharacteristic, complemented
131C37×#388C2211yescharacteristic, complemented
132C37×#388C2211yescharacteristic, 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×#387C2211yescharacteristic, complemented
144C37×#387C2211yescharacteristic, complemented
145C37×#387C2211yescharacteristic, complemented
146C37×#387C2211yescharacteristic, complemented
147C37×#387C2211yescharacteristic, complemented
148C37×#387C2211yescharacteristic, complemented
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#386C2211yescharacteristic
157C37×#386C2211yescharacteristic
158C37×#386C2211yescharacteristic, complemented
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic, complemented
164C37×#385C2211yescharacteristic, complemented
165C37×#385C2211yescharacteristic, complemented
166C37×#385C2211yescharacteristic, complemented
167C37×#385C2211yescharacteristic, complemented
168C37×#385C2211yescharacteristic, complemented
169C37×#384C2211yescharacteristic, complemented
170C37×#383C2211yescharacteristic, complemented
171C37×#382C2211yescharacteristic, complemented
172C37×#382C2211yescharacteristic, complemented
173C37×#381C2211yescharacteristic, complemented
174C37×#380C2211yescharacteristic
175C37×#380C2211yescharacteristic
176C37×#380C2211yescharacteristic, complemented
177C37×#380C2211yescharacteristic, complemented
178C37×#379C2211yescharacteristic
179C37×#379C2211yescharacteristic
180C37×#379C2211yescharacteristic
181C37×#379C2211yescharacteristic
182C4×C4⋊C4×C37C2211yescharacteristic, complemented
183C4×C22⋊C4×C37C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C4×C22⋊C4×C37C2211yescharacteristic, complemented
186C37×#376C2211yescharacteristic, complemented
187C25×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×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#124×C37—24no—
206#123×C37—42no—
207#123×C37—42no—
208#121×C37—24no—
209#120×C37—24no—
210#120×C37—42no—
211C4×Q8×C37—42no—
212C4×D4×C37—42no—
213C4×D4×C37—42no—
214C4×D4×C37—42no—
215C2×C4⋊C4×C37C2311yescharacteristic
216C2×C4⋊C4×C37C2311yescharacteristic
217C2×C4⋊C4×C37C2311yescharacteristic
218C2×C4⋊C4×C37C2311yescharacteristic
219C2×C4⋊C4×C37C2311yescharacteristic
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C22⋊C4×C37—42no—
248C2×C22⋊C4×C37C2311yescharacteristic
249C2×C22⋊C4×C37C2311yescharacteristic
250C2×C22⋊C4×C37C2311yescharacteristic
251C2×C22⋊C4×C37C2311yescharacteristic
252C2×C22⋊C4×C37C2311yescharacteristic
253C2×C22⋊C4×C37C2311yescharacteristic
254C2×C22⋊C4×C37C2311yescharacteristic
255C2×C22⋊C4×C37C2311yescharacteristic
256C2×C22⋊C4×C37C2311yescharacteristic
257C2×C22⋊C4×C37C2311yescharacteristic
258C2×C22⋊C4×C37C2311yescharacteristic
259C2×C22⋊C4×C37C2311yescharacteristic
260C2×C22⋊C4×C37C2311yescharacteristic
261C2×C22⋊C4×C37C2311yescharacteristic
262C2×C22⋊C4×C37C2311yescharacteristic
263C2×C22⋊C4×C37C2311yescharacteristic
264C2×C22⋊C4×C37C2311yescharacteristic
265C2×C22⋊C4×C37C2311yescharacteristic
266C2×C22⋊C4×C37C2311yescharacteristic
267C2×C22⋊C4×C37C2311yescharacteristic
268C2×C22⋊C4×C37C2311yescharacteristic
269C2×C22⋊C4×C37C2311yescharacteristic
270C2×C22⋊C4×C37C2311yescharacteristic
271C2×C22⋊C4×C37C2311yescharacteristic
272C2×C22⋊C4×C37C2311yescharacteristic
273C2×C22⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37C2311yescharacteristic
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C42×C37—42no—
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×C37C2311yescharacteristic
318#95×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357C24×C37—22no—
358C24×C37—41no—
359C24×C37—41no—
360C24×C37—41no—
361C24×C37—41no—
362C24×C37—41no—
363C24×C37—41no—
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C24×C37C2411yescharacteristic
368C24×C37C2411yescharacteristic
369C2×Q8×C37—22no—
370C2×Q8×C37—41no—
371C2×Q8×C37—41no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—22no—
375C2×D4×C37—22no—
376C2×D4×C37—22no—
377C2×D4×C37—41no—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
380C2×D4×C37—41no—
381C2×D4×C37—41no—
382C2×D4×C37—41no—
383C2×D4×C37—41no—
384C2×D4×C37—41no—
385C2×D4×C37—41no—
386C2×D4×C37—41no—
387C2×D4×C37—41no—
388C2×D4×C37—41no—
389C2×D4×C37—41no—
390C2×D4×C37—41no—
391C2×D4×C37—41no—
392C2×D4×C37#4114yes—
393C22×C4×C37—22no—
394C22×C4×C37—22no—
395C22×C4×C37—22no—
396C22×C4×C37—22no—
397C22×C4×C37—22no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37—41no—
410C22×C4×C37—41no—
411C22×C4×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
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C4⋊C4×C37—22no—
438C4⋊C4×C37—22no—
439C4⋊C4×C37—22no—
440C4⋊C4×C37—22no—
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—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—41no—
483C22⋊C4×C37—41no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37—41no—
491C22⋊C4×C37—41no—
492C22⋊C4×C37—41no—
493C22⋊C4×C37—41no—
494C22⋊C4×C37—41no—
495C22⋊C4×C37—41no—
496C22⋊C4×C37—41no—
497C22⋊C4×C37—41no—
498C22⋊C4×C37—41no—
499C22⋊C4×C37—41no—
500C22⋊C4×C37—41no—
501C22⋊C4×C37—41no—
502C22⋊C4×C37—41no—
503C22⋊C4×C37—41no—
504C22⋊C4×C37—41no—
505C22⋊C4×C37—41no—
506C22⋊C4×C37—41no—
507C22⋊C4×C37—41no—
508C22⋊C4×C37—41no—
509C22⋊C4×C37—41no—
510C22⋊C4×C37—41no—
511C22⋊C4×C37—41no—
512C22⋊C4×C37—41no—
513C22⋊C4×C37—41no—
514C22⋊C4×C37—41no—
515C22⋊C4×C37—41no—
516C22⋊C4×C37—41no—
517C22⋊C4×C37—41no—
518C22⋊C4×C37—41no—
519C22⋊C4×C37—41no—
520C22⋊C4×C37—41no—
521C42×C37—22no—
522C42×C37—22no—
523C42×C37—22no—
524C42×C37—22no—
525C42×C37—22no—
526C42×C37—41no—
527C42×C37—41no—
528C42×C37—41no—
529C42×C37—41no—
530C42×C37—41no—
531C42×C37—41no—
532C42×C37—41no—
533C23×C37—21no—
534C23×C37—21no—
535C23×C37—21no—
536C23×C37—21no—
537C23×C37—21no—
538C23×C37—21no—
539C23×C37—21no—
540C23×C37—21no—
541C23×C37—21no—
542C23×C37—21no—
543C23×C37—21no—
544C23×C37—21no—
545C23×C37—21no—
546C23×C37—21no—
547C23×C37—21no—
548C23×C37—21no—
549C23×C37—21no—
550C23×C37—21no—
551C23×C37—21no—
552C23×C37—21no—
553C23×C37—21no—
554C23×C37—21no—
555C23×C37—21no—
556C23×C37—21no—
557C23×C37—21no—
558C23×C37—21no—
559C23×C37—21no—
560C23×C37—21no—
561C23×C37—21no—
562C23×C37—21no—
563C23×C37—21no—
564C23×C37—21no—
565C23×C37—21no—
566C23×C37—44no—
567C23×C37—82no—
568C23×C37—82no—
569C23×C37—82no—
570C23×C37—82no—
571C23×C37—82no—
572C23×C37—82no—
573C23×C37C2×#4112yes—
574C23×C37C2×#4112yes—
575C23×C37C2511yescharacteristic
576Q8×C37—44no—
577D4×C37—44no—
578D4×C37—44no—
579D4×C37—44no—
580D4×C37—82no—
581D4×C37—82no—
582D4×C37—82no—
583D4×C37—82no—
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—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—44no—
660C2×C4×C37—44no—
661C2×C4×C37—44no—
662C2×C4×C37—82no—
663C2×C4×C37—82no—
664C2×C4×C37—82no—
665C2×C4×C37C2×#4112yes—
666C2×C4×C37H(5,𝔽2)12yes—
667C2×C4×C37H(5,𝔽2)12yes—
668#36889C3711yesmaximal, characteristic, direct product factor, Sylow
669C22×C37—22no—
670C22×C37—22no—
671C22×C37—22no—
672C22×C37—22no—
673C22×C37—22no—
674C22×C37—22no—
675C22×C37—41no—
676C22×C37—41no—
677C22×C37—41no—
678C22×C37—41no—
679C22×C37—41no—
680C22×C37—41no—
681C22×C37—41no—
682C22×C37—41no—
683C22×C37—41no—
684C22×C37—41no—
685C22×C37—41no—
686C22×C37—41no—
687C22×C37—41no—
688C22×C37—41no—
689C22×C37—41no—
690C22×C37—41no—
691C22×C37—41no—
692C22×C37—41no—
693C22×C37—41no—
694C22×C37—41no—
695C22×C37—41no—
696C22×C37—41no—
697C22×C37—41no—
698C22×C37—41no—
699C22×C37—41no—
700C22×C37—41no—
701C22×C37—41no—
702C22×C37—41no—
703C22×C37—41no—
704C22×C37—88no—
705C22×C37C22×#4111yescharacteristic
706C22×C37C2×H(5,𝔽2)11yescharacteristic
707C22×C37C2×H(5,𝔽2)11yescharacteristic
708C22×C37#58511yescharacteristic
709C22×C37#58511yescharacteristic
710C22×C37#58511yescharacteristic
711C22×C37#58511yescharacteristic
712C4×C37—22no—
713C4×C37—22no—
714C4×C37—22no—
715C4×C37—41no—
716C4×C37—41no—
717C4×C37—41no—
718C4×C37—41no—
719C4×C37—41no—
720C4×C37—41no—
721C4×C37—41no—
722C4×C37—41no—
723C4×C37—41no—
724C4×C37—41no—
725C4×C37—41no—
726C4×C37—41no—
727C4×C37—41no—
728C4×C37—41no—
729C4×C37—41no—
730C4×C37—41no—
731C4×C37—41no—
732C4×C37—41no—
733C4×C37—41no—
734C4×C37—41no—
735C4×C37—41no—
736C4×C37—41no—
737C4×C37—41no—
738#2853C2×C3711yescharacteristic, complemented
739#2852C2×C3711yescharacteristic, complemented
740#2808C2×C3711yescharacteristic, complemented
741#2797C2×C3711yescharacteristic, complemented
742#2795C2×C3711yescharacteristic, complemented
743#2780C2×C3711yescharacteristic, complemented
744#2775C2×C3711yescharacteristic, complemented
745#2757C2×C3711yescharacteristic, complemented
746#2753C2×C3711yescharacteristic, complemented
747#2747C2×C3711yescharacteristic, complemented
748#2740C2×C3711yescharacteristic, complemented
749#2735C2×C3711yescharacteristic, complemented
750#2721C2×C3711yescharacteristic, complemented
751#2707C2×C3711yescharacteristic, complemented
752#2686C2×C3711yescharacteristic, complemented
753#2685C2×C3711yescharacteristic, complemented
754#2684C2×C3711yescharacteristic, complemented
755#2678C2×C3711yescharacteristic
756#2636C2×C3711yescharacteristic, complemented
757#2630C2×C3711yescharacteristic, complemented
758#2531C2×C3711yescharacteristic, complemented
759#2529C2×C3711yescharacteristic, complemented
760#2517C2×C3711yescharacteristic, complemented
761#2480C2×C3711yescharacteristic, complemented
762#2469C2×C3711yescharacteristic, complemented
763#2460C2×C3711yescharacteristic, complemented
764#2458C2×C3711yescharacteristic, complemented
765#2418C2×C3711yescharacteristic, complemented
766#2326C2×C3711yescharacteristic, complemented
767#2321C2×C3711yescharacteristic, complemented
768C4×#121C2×C3711yescharacteristic, complemented
769C2×C37—42no—
770C2×C37—42no—
771C2×C37—81no—
772C2×C37—81no—
773C2×C37—81no—
774C2×C37#345911yescharacteristic
775C2×C37#351311yescharacteristic
776C2×C37#352111yescharacteristic
777C2×C37#354011yescharacteristic
778C2×C37#354211yescharacteristic
779C2×C37#355111yescharacteristic
780C2×C37#356611yescharacteristic
781C2×#126C22×C3711yescharacteristic
782C2×#126C22×C3711yescharacteristic
783C2×#125C22×C3711yescharacteristic, complemented
784C2×#124C22×C3711yescharacteristic
785C2×#123C22×C3711yescharacteristic
786C2×#123C22×C3711yescharacteristic
787C2×#121C22×C3711yescharacteristic
788C2×#120C22×C3711yescharacteristic
789C2×#120C22×C3711yescharacteristic
790C2×C4×Q8C22×C3711yescharacteristic, complemented
791C2×C4×D4C22×C3711yescharacteristic
792C2×C4×D4C22×C3711yescharacteristic
793C2×C4×D4C22×C3711yescharacteristic, complemented
794C22×C22⋊C4C22×C3711yescharacteristic
795C22×C42C22×C3711yescharacteristic, complemented
796#400C22×C3711yescharacteristic, complemented
797#400C22×C3711yescharacteristic, complemented
798#400C22×C3711yescharacteristic, complemented
799#399C22×C3711yescharacteristic
800#399C22×C3711yescharacteristic
801#399C22×C3711yescharacteristic
802#398C22×C3711yescharacteristic, complemented
803#398C22×C3711yescharacteristic, complemented
804#398C22×C3711yescharacteristic, complemented
805#398C22×C3711yescharacteristic, complemented
806#397C22×C3711yescharacteristic
807#397C22×C3711yescharacteristic
808#397C22×C3711yescharacteristic
809#397C22×C3711yescharacteristic
810#397C22×C3711yescharacteristic
811#397C22×C3711yescharacteristic
812#397C22×C3711yescharacteristic
813#397C22×C3711yescharacteristic
814#397C22×C3711yescharacteristic
815#397C22×C3711yescharacteristic
816#397C22×C3711yescharacteristic, complemented
817#397C22×C3711yescharacteristic, complemented
818#396C22×C3711yescharacteristic
819#396C22×C3711yescharacteristic
820#396C22×C3711yescharacteristic
821#396C22×C3711yescharacteristic
822#396C22×C3711yescharacteristic
823#396C22×C3711yescharacteristic, complemented
824#396C22×C3711yescharacteristic, complemented
825#396C22×C3711yescharacteristic, complemented
826#395C22×C3711yescharacteristic, complemented
827#394C22×C3711yescharacteristic
828#394C22×C3711yescharacteristic
829#394C22×C3711yescharacteristic
830#394C22×C3711yescharacteristic
831#394C22×C3711yescharacteristic
832#394C22×C3711yescharacteristic
833#394C22×C3711yescharacteristic
834#394C22×C3711yescharacteristic
835#394C22×C3711yescharacteristic
836#394C22×C3711yescharacteristic
837#394C22×C3711yescharacteristic, complemented
838#394C22×C3711yescharacteristic, complemented
839#393C22×C3711yescharacteristic
840#393C22×C3711yescharacteristic
841#393C22×C3711yescharacteristic, complemented
842#392C22×C3711yescharacteristic
843#392C22×C3711yescharacteristic
844#391C22×C3711yescharacteristic, complemented
845#390C22×C3711yescharacteristic
846#390C22×C3711yescharacteristic
847#390C22×C3711yescharacteristic
848#390C22×C3711yescharacteristic
849#390C22×C3711yescharacteristic
850#390C22×C3711yescharacteristic
851#389C22×C3711yescharacteristic, complemented
852#389C22×C3711yescharacteristic, complemented
853#389C22×C3711yescharacteristic, complemented
854#388C22×C3711yescharacteristic
855#388C22×C3711yescharacteristic
856#388C22×C3711yescharacteristic
857#388C22×C3711yescharacteristic
858#388C22×C3711yescharacteristic
859#388C22×C3711yescharacteristic
860#388C22×C3711yescharacteristic
861#388C22×C3711yescharacteristic
862#388C22×C3711yescharacteristic
863#388C22×C3711yescharacteristic
864#388C22×C3711yescharacteristic
865#388C22×C3711yescharacteristic
866#388C22×C3711yescharacteristic
867#388C22×C3711yescharacteristic
868#388C22×C3711yescharacteristic
869#388C22×C3711yescharacteristic
870#388C22×C3711yescharacteristic
871#388C22×C3711yescharacteristic
872#388C22×C3711yescharacteristic
873#388C22×C3711yescharacteristic
874#388C22×C3711yescharacteristic
875#388C22×C3711yescharacteristic, complemented
876#388C22×C3711yescharacteristic, complemented
877#388C22×C3711yescharacteristic, complemented
878#388C22×C3711yescharacteristic, complemented
879#388C22×C3711yescharacteristic, complemented
880#388C22×C3711yescharacteristic, complemented
881#388C22×C3711yescharacteristic, complemented
882#387C22×C3711yescharacteristic, complemented
883#387C22×C3711yescharacteristic, complemented
884#387C22×C3711yescharacteristic, complemented
885#387C22×C3711yescharacteristic, complemented
886#387C22×C3711yescharacteristic, complemented
887#387C22×C3711yescharacteristic, complemented
888#387C22×C3711yescharacteristic, complemented
889#387C22×C3711yescharacteristic, complemented
890#387C22×C3711yescharacteristic, complemented
891#387C22×C3711yescharacteristic, complemented
892#387C22×C3711yescharacteristic, complemented
893#387C22×C3711yescharacteristic, complemented
894#387C22×C3711yescharacteristic, complemented
895#387C22×C3711yescharacteristic, complemented
896#387C22×C3711yescharacteristic, complemented
897#387C22×C3711yescharacteristic, complemented
898#386C22×C3711yescharacteristic
899#386C22×C3711yescharacteristic
900#386C22×C3711yescharacteristic
901#386C22×C3711yescharacteristic
902#386C22×C3711yescharacteristic
903#386C22×C3711yescharacteristic
904#386C22×C3711yescharacteristic
905#386C22×C3711yescharacteristic
906#386C22×C3711yescharacteristic
907#386C22×C3711yescharacteristic, complemented
908#385C22×C3711yescharacteristic
909#385C22×C3711yescharacteristic
910#385C22×C3711yescharacteristic
911#385C22×C3711yescharacteristic
912#385C22×C3711yescharacteristic, complemented
913#385C22×C3711yescharacteristic, complemented
914#385C22×C3711yescharacteristic, complemented
915#385C22×C3711yescharacteristic, complemented
916#385C22×C3711yescharacteristic, complemented
917#385C22×C3711yescharacteristic, complemented
918#384C22×C3711yescharacteristic, complemented
919#383C22×C3711yescharacteristic, complemented
920#382C22×C3711yescharacteristic, complemented
921#382C22×C3711yescharacteristic, complemented
922#381C22×C3711yescharacteristic, complemented
923#380C22×C3711yescharacteristic
924#380C22×C3711yescharacteristic
925#380C22×C3711yescharacteristic, complemented
926#380C22×C3711yescharacteristic, complemented
927#379C22×C3711yescharacteristic
928#379C22×C3711yescharacteristic
929#379C22×C3711yescharacteristic
930#379C22×C3711yescharacteristic
931C4×C4⋊C4C22×C3711yescharacteristic, complemented
932C4×C22⋊C4C22×C3711yescharacteristic
933C4×C22⋊C4C22×C3711yescharacteristic
934C4×C22⋊C4C22×C3711yescharacteristic, complemented
935#376C22×C3711yescharacteristic, complemented
936C37#3688911yescharacteristic, direct product factor, Sylow
937C25C23×C3711yescharacteristic
938C22×Q8C23×C3711yescharacteristic
939C22×D4C23×C3711yescharacteristic
940C22×D4C23×C3711yescharacteristic
941C22×D4C23×C3711yescharacteristic
942C22×D4C23×C3711yescharacteristic
943C22×D4C23×C3711yescharacteristic
944C22×D4C23×C3711yescharacteristic
945C22×D4C23×C3711yescharacteristic
946C23×C4C23×C3711yescharacteristic
947C23×C4C23×C3711yescharacteristic
948C23×C4C23×C3711yescharacteristic
949C23×C4C23×C3711yescharacteristic
950C23×C4C23×C3711yescharacteristic
951C23×C4C23×C3711yescharacteristic
952#126—42no—
953#126—42no—
954#125—42no—
955#124—24no—
956#123—42no—
957#123—42no—
958#121—24no—
959#120—24no—
960#120—42no—
961C4×Q8—42no—
962C4×D4—42no—
963C4×D4—42no—
964C4×D4—42no—
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×C4⋊C4C23×C3711yescharacteristic
982C2×C4⋊C4C23×C3711yescharacteristic
983C2×C4⋊C4C23×C3711yescharacteristic
984C2×C4⋊C4C23×C3711yescharacteristic
985C2×C4⋊C4C23×C3711yescharacteristic
986C2×C4⋊C4C23×C3711yescharacteristic
987C2×C4⋊C4C23×C3711yescharacteristic
988C2×C4⋊C4C23×C3711yescharacteristic
989C2×C4⋊C4C23×C3711yescharacteristic
990C2×C4⋊C4C23×C3711yescharacteristic
991C2×C4⋊C4C23×C3711yescharacteristic
992C2×C4⋊C4C23×C3711yescharacteristic
993C2×C4⋊C4C23×C3711yescharacteristic
994C2×C4⋊C4C23×C3711yescharacteristic
995C2×C4⋊C4C23×C3711yescharacteristic
996C2×C4⋊C4C23×C3711yescharacteristic
997C2×C22⋊C4—42no—
998C2×C22⋊C4C23×C3711yescharacteristic
999C2×C22⋊C4C23×C3711yescharacteristic
1000C2×C22⋊C4C23×C3711yescharacteristic
1001C2×C22⋊C4C23×C3711yescharacteristic
1002C2×C22⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4C23×C3711yescharacteristic
1004C2×C22⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C22⋊C4C23×C3711yescharacteristic
1017C2×C22⋊C4C23×C3711yescharacteristic
1018C2×C22⋊C4C23×C3711yescharacteristic
1019C2×C22⋊C4C23×C3711yescharacteristic
1020C2×C22⋊C4C23×C3711yescharacteristic
1021C2×C22⋊C4C23×C3711yescharacteristic
1022C2×C22⋊C4C23×C3711yescharacteristic
1023C2×C22⋊C4C23×C3711yescharacteristic
1024C2×C22⋊C4C23×C3711yescharacteristic
1025C2×C22⋊C4C23×C3711yescharacteristic
1026C2×C22⋊C4C23×C3711yescharacteristic
1027C2×C22⋊C4C23×C3711yescharacteristic
1028C2×C22⋊C4C23×C3711yescharacteristic
1029C2×C22⋊C4C23×C3711yescharacteristic
1030C2×C22⋊C4C23×C3711yescharacteristic
1031C2×C22⋊C4C23×C3711yescharacteristic
1032C2×C22⋊C4C23×C3711yescharacteristic
1033C2×C22⋊C4C23×C3711yescharacteristic
1034C2×C22⋊C4C23×C3711yescharacteristic
1035C2×C22⋊C4C23×C3711yescharacteristic
1036C2×C22⋊C4C23×C3711yescharacteristic
1037C2×C22⋊C4C23×C3711yescharacteristic
1038C2×C22⋊C4C23×C3711yescharacteristic
1039C2×C22⋊C4C23×C3711yescharacteristic
1040C2×C22⋊C4C23×C3711yescharacteristic
1041C2×C22⋊C4C23×C3711yescharacteristic
1042C2×C22⋊C4C23×C3711yescharacteristic
1043C2×C22⋊C4C23×C3711yescharacteristic
1044C2×C22⋊C4C23×C3711yescharacteristic
1045C2×C22⋊C4C23×C3711yescharacteristic
1046C2×C22⋊C4C23×C3711yescharacteristic
1047C2×C22⋊C4C23×C3711yescharacteristic
1048C2×C22⋊C4C23×C3711yescharacteristic
1049C2×C22⋊C4C23×C3711yescharacteristic
1050C2×C42—42no—
1051C2×C42C23×C3711yescharacteristic
1052C2×C42C23×C3711yescharacteristic
1053C2×C42C23×C3711yescharacteristic
1054C2×C42C23×C3711yescharacteristic
1055C2×C42C23×C3711yescharacteristic
1056C2×C42C23×C3711yescharacteristic
1057C2×C42C23×C3711yescharacteristic
1058C2×C42C23×C3711yescharacteristic
1059C2×C42C23×C3711yescharacteristic
1060C2×C42C23×C3711yescharacteristic
1061C2×C42C23×C3711yescharacteristic
1062C2×C42C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082#95C23×C3711yescharacteristic
1083#95C23×C3711yescharacteristic
1084#95C23×C3711yescharacteristic
1085#95C23×C3711yescharacteristic
1086#95C23×C3711yescharacteristic
1087#95C23×C3711yescharacteristic
1088#95C23×C3711yescharacteristic
1089#95C23×C3711yescharacteristic
1090#95C23×C3711yescharacteristic
1091#95C23×C3711yescharacteristic
1092#95C23×C3711yescharacteristic
1093#95C23×C3711yescharacteristic
1094#95C23×C3711yescharacteristic
1095#95C23×C3711yescharacteristic
1096#95C23×C3711yescharacteristic
1097#95C23×C3711yescharacteristic
1098#95C23×C3711yescharacteristic
1099#95C23×C3711yescharacteristic
1100#95C23×C3711yescharacteristic
1101#95C23×C3711yescharacteristic
1102#95C23×C3711yescharacteristic
1103#95C23×C3711yescharacteristic
1104#95C23×C3711yescharacteristic
1105#95C23×C3711yescharacteristic
1106#95C23×C3711yescharacteristic
1107C24—22no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24—41no—
1113C24—41no—
1114C24C24×C3711yescharacteristic
1115C24C24×C3711yescharacteristic
1116C24C24×C3711yescharacteristic
1117C24C24×C3711yescharacteristic
1118C24C24×C3711yescharacteristic
1119C2×Q8—22no—
1120C2×Q8—41no—
1121C2×Q8—41no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4#41×C3714yes—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—41no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4C24×C3711yescharacteristic
1162C22×C4C24×C3711yescharacteristic
1163C22×C4C24×C3711yescharacteristic
1164C22×C4C24×C3711yescharacteristic
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C22×C4C24×C3711yescharacteristic
1168C22×C4C24×C3711yescharacteristic
1169C22×C4C24×C3711yescharacteristic
1170C22×C4C24×C3711yescharacteristic
1171C22×C4C24×C3711yescharacteristic
1172C22×C4C24×C3711yescharacteristic
1173C22×C4C24×C3711yescharacteristic
1174C22×C4C24×C3711yescharacteristic
1175C22×C4C24×C3711yescharacteristic
1176C22×C4C24×C3711yescharacteristic
1177C22×C4C24×C3711yescharacteristic
1178C22×C4C24×C3711yescharacteristic
1179C22×C4C24×C3711yescharacteristic
1180C22×C4C24×C3711yescharacteristic
1181C22×C4C24×C3711yescharacteristic
1182C22×C4C24×C3711yescharacteristic
1183C22×C4C24×C3711yescharacteristic
1184C22×C4C24×C3711yescharacteristic
1185C22×C4C24×C3711yescharacteristic
1186C22×C4C24×C3711yescharacteristic
1187C4⋊C4—22no—
1188C4⋊C4—22no—
1189C4⋊C4—22no—
1190C4⋊C4—22no—
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C4⋊C4—41no—
1202C4⋊C4—41no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C4⋊C4—41no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C22⋊C4—41no—
1240C22⋊C4—41no—
1241C22⋊C4—41no—
1242C22⋊C4—41no—
1243C22⋊C4—41no—
1244C22⋊C4—41no—
1245C22⋊C4—41no—
1246C22⋊C4—41no—
1247C22⋊C4—41no—
1248C22⋊C4—41no—
1249C22⋊C4—41no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C42—22no—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—22no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C23—21no—
1284C23—21no—
1285C23—21no—
1286C23—21no—
1287C23—21no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—21no—
1304C23—21no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—21no—
1313C23—21no—
1314C23—21no—
1315C23—21no—
1316C23—44no—
1317C23—82no—
1318C23—82no—
1319C23—82no—
1320C23—82no—
1321C23—82no—
1322C23—82no—
1323C23C2×#41×C3712yes—
1324C23C2×#41×C3712yes—
1325C23C25×C3711yescharacteristic
1326Q8—44no—
1327D4—44no—
1328D4—44no—
1329D4—44no—
1330D4—82no—
1331D4—82no—
1332D4—82no—
1333D4—82no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—82no—
1413C2×C4—82no—
1414C2×C4—82no—
1415C2×C4C2×#41×C3712yes—
1416C2×C4H(5,𝔽2)×C3712yes—
1417C2×C4H(5,𝔽2)×C3712yes—
1418C22—22no—
1419C22—22no—
1420C22—22no—
1421C22—22no—
1422C22—22no—
1423C22—22no—
1424C22—41no—
1425C22—41no—
1426C22—41no—
1427C22—41no—
1428C22—41no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—41no—
1441C22—41no—
1442C22—41no—
1443C22—41no—
1444C22—41no—
1445C22—41no—
1446C22—41no—
1447C22—41no—
1448C22—41no—
1449C22—41no—
1450C22—41no—
1451C22—41no—
1452C22—41no—
1453C22—88no—
1454C22C22×#41×C3711yescharacteristic
1455C22C2×H(5,𝔽2)×C3711yescharacteristic
1456C22C2×H(5,𝔽2)×C3711yescharacteristic
1457C22C37×#58511yescharacteristic
1458C22C37×#58511yescharacteristic
1459C22C37×#58511yescharacteristic
1460C22C37×#58511yescharacteristic
1461C4—22no—
1462C4—22no—
1463C4—22no—
1464C4—41no—
1465C4—41no—
1466C4—41no—
1467C4—41no—
1468C4—41no—
1469C4—41no—
1470C4—41no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C2—42no—
1488C2—42no—
1489C2—81no—
1490C2—81no—
1491C2—81no—
1492C2C37×#345911yescharacteristic
1493C2C37×#351311yescharacteristic
1494C2C37×#352111yescharacteristic
1495C2C37×#354011yescharacteristic
1496C2C37×#354211yescharacteristic
1497C2C37×#355111yescharacteristic
1498C2C37×#356611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2678C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#2853C2semidirect
2. C37×#2852C2semidirect
3. C37×#2808C2semidirect
4. C37×#2797C2semidirect
5. C37×#2795C2semidirect
6. C37×#2780C2semidirect
7. C37×#2775C2semidirect
8. C37×#2757C2semidirect
9. C37×#2753C2semidirect
10. C37×#2747C2semidirect
11. C37×#2740C2semidirect
12. C37×#2735C2semidirect
13. C37×#2721C2semidirect
14. C37×#2707C2semidirect
15. C37×#2686C2semidirect
16. C37×#2685C2semidirect
17. C37×#2684C2semidirect
19. C37×#2636C2semidirect
20. C37×#2630C2semidirect
21. C37×#2531C2semidirect
22. C37×#2529C2semidirect
23. C37×#2517C2semidirect
24. C37×#2480C2semidirect
25. C37×#2469C2semidirect
26. C37×#2460C2semidirect
27. C37×#2458C2semidirect
28. C37×#2418C2semidirect
29. C37×#2326C2semidirect
30. C37×#2321C2semidirect
31. C4×#121×C37C2semidirect
34. C2×#125×C37C22semidirect
41. C2×C4×Q8×C37C22semidirect
44. C2×C4×D4×C37C22semidirect
46. C22×C42×C37C22semidirect
47. C37×#400C22semidirect
48. C37×#400C22semidirect
49. C37×#400C22semidirect
53. C37×#398C22semidirect
54. C37×#398C22semidirect
55. C37×#398C22semidirect
56. C37×#398C22semidirect
67. C37×#397C22semidirect
68. C37×#397C22semidirect
74. C37×#396C22semidirect
75. C37×#396C22semidirect
76. C37×#396C22semidirect
77. C37×#395C22semidirect
88. C37×#394C22semidirect
89. C37×#394C22semidirect
92. C37×#393C22semidirect
95. C37×#391C22semidirect
102. C37×#389C22semidirect
103. C37×#389C22semidirect
104. C37×#389C22semidirect
126. C37×#388C22semidirect
127. C37×#388C22semidirect
128. C37×#388C22semidirect
129. C37×#388C22semidirect
130. C37×#388C22semidirect
131. C37×#388C22semidirect
132. C37×#388C22semidirect
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
143. C37×#387C22semidirect
144. C37×#387C22semidirect
145. C37×#387C22semidirect
146. C37×#387C22semidirect
147. C37×#387C22semidirect
148. C37×#387C22semidirect
158. C37×#386C22semidirect
163. C37×#385C22semidirect
164. C37×#385C22semidirect
165. C37×#385C22semidirect
166. C37×#385C22semidirect
167. C37×#385C22semidirect
168. C37×#385C22semidirect
169. C37×#384C22semidirect
170. C37×#383C22semidirect
171. C37×#382C22semidirect
172. C37×#382C22semidirect
173. C37×#381C22semidirect
176. C37×#380C22semidirect
177. C37×#380C22semidirect
182. C4×C4⋊C4×C37C22semidirect
185. C4×C22⋊C4×C37C22semidirect
186. C37×#376C22semidirect
668. #36889C37direct (N × H)
738. #2853C2×C37semidirect
739. #2852C2×C37semidirect
740. #2808C2×C37semidirect
741. #2797C2×C37semidirect
742. #2795C2×C37semidirect
743. #2780C2×C37semidirect
744. #2775C2×C37semidirect
745. #2757C2×C37semidirect
746. #2753C2×C37semidirect
747. #2747C2×C37semidirect
748. #2740C2×C37semidirect
749. #2735C2×C37semidirect
750. #2721C2×C37semidirect
751. #2707C2×C37semidirect
752. #2686C2×C37semidirect
753. #2685C2×C37semidirect
754. #2684C2×C37semidirect
756. #2636C2×C37semidirect
757. #2630C2×C37semidirect
758. #2531C2×C37semidirect
759. #2529C2×C37semidirect
760. #2517C2×C37semidirect
761. #2480C2×C37semidirect
762. #2469C2×C37semidirect
763. #2460C2×C37semidirect
764. #2458C2×C37semidirect
765. #2418C2×C37semidirect
766. #2326C2×C37semidirect
767. #2321C2×C37semidirect
768. C4×#121C2×C37semidirect
783. C2×#125C22×C37semidirect
790. C2×C4×Q8C22×C37semidirect
793. C2×C4×D4C22×C37semidirect
795. C22×C42C22×C37semidirect
796. #400C22×C37semidirect
797. #400C22×C37semidirect
798. #400C22×C37semidirect
802. #398C22×C37semidirect
803. #398C22×C37semidirect
804. #398C22×C37semidirect
805. #398C22×C37semidirect
816. #397C22×C37semidirect
817. #397C22×C37semidirect
823. #396C22×C37semidirect
824. #396C22×C37semidirect
825. #396C22×C37semidirect
826. #395C22×C37semidirect
837. #394C22×C37semidirect
838. #394C22×C37semidirect
841. #393C22×C37semidirect
844. #391C22×C37semidirect
851. #389C22×C37semidirect
852. #389C22×C37semidirect
853. #389C22×C37semidirect
875. #388C22×C37semidirect
876. #388C22×C37semidirect
877. #388C22×C37semidirect
878. #388C22×C37semidirect
879. #388C22×C37semidirect
880. #388C22×C37semidirect
881. #388C22×C37semidirect
882. #387C22×C37semidirect
883. #387C22×C37semidirect
884. #387C22×C37semidirect
885. #387C22×C37semidirect
886. #387C22×C37semidirect
887. #387C22×C37semidirect
888. #387C22×C37semidirect
889. #387C22×C37semidirect
890. #387C22×C37semidirect
891. #387C22×C37semidirect
892. #387C22×C37semidirect
893. #387C22×C37semidirect
894. #387C22×C37semidirect
895. #387C22×C37semidirect
896. #387C22×C37semidirect
897. #387C22×C37semidirect
907. #386C22×C37semidirect
912. #385C22×C37semidirect
913. #385C22×C37semidirect
914. #385C22×C37semidirect
915. #385C22×C37semidirect
916. #385C22×C37semidirect
917. #385C22×C37semidirect
918. #384C22×C37semidirect
919. #383C22×C37semidirect
920. #382C22×C37semidirect
921. #382C22×C37semidirect
922. #381C22×C37semidirect
925. #380C22×C37semidirect
926. #380C22×C37semidirect
931. C4×C4⋊C4C22×C37semidirect
934. C4×C22⋊C4C22×C37semidirect
935. #376C22×C37semidirect
936. C37#36889direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28532
C37×#28522
C37×#28082
C37×#27972
C37×#27952
C37×#27802
C37×#27752
C37×#27572
C37×#27532
C37×#27472
C37×#27402
C37×#27352
C37×#27212
C37×#27072
C37×#26862
C37×#26852
C37×#26842
C37×#26782
C37×#26362
C37×#26302
C37×#25312
C37×#25292
C37×#25172
C37×#24802
C37×#24692
C37×#24602
C37×#24582
C37×#24182
C37×#23262
C37×#23212
C4×#121×C372
#3688937