Finite Group Databasebeta

← C37×#36795 #22658048

Subgroups — C37×#36795 #22658048

Order 9472.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#2852C211yesmaximal, characteristic, complemented
2C37×#2850C211yesmaximal, characteristic, complemented
3C37×#2808C211yesmaximal, characteristic, complemented
4C37×#2803C211yesmaximal, characteristic, complemented
5C37×#2803C211yesmaximal, characteristic, complemented
6C37×#2786C211yesmaximal, characteristic, complemented
7C37×#2781C211yesmaximal, characteristic, complemented
8C37×#2779C211yesmaximal, characteristic, complemented
9C37×#2778C211yesmaximal, characteristic, complemented
10C37×#2775C211yesmaximal, characteristic, complemented
11C37×#2759C211yesmaximal, characteristic, complemented
12C37×#2756C211yesmaximal, characteristic, complemented
13C37×#2756C211yesmaximal, characteristic, complemented
14C37×#2751C211yesmaximal, characteristic, complemented
15C37×#2733C211yesmaximal, characteristic, complemented
16C37×#2715C211yesmaximal, characteristic, complemented
17C37×#2714C211yesmaximal, characteristic, complemented
18C37×#2686C211yesmaximal, characteristic, complemented
19C37×#2622C211yesmaximal, characteristic, complemented
20C37×#2617C211yesmaximal, characteristic, complemented
21C37×#2510C211yesmaximal, characteristic, complemented
22C37×#2472C211yesmaximal, characteristic, complemented
23C37×#2444C211yesmaximal, characteristic, complemented
24C37×#2438C211yesmaximal, characteristic, complemented
25C37×#2430C211yesmaximal, characteristic, complemented
26C37×#2424C211yesmaximal, characteristic, complemented
27C37×#2411C211yesmaximal, characteristic, complemented
28C37×#2404C211yesmaximal, characteristic, complemented
29C37×#2322C211yesmaximal, characteristic, complemented
30C37×#2311C211yesmaximal, characteristic, complemented
31C2×C37×#388C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic, complemented
34C2×#124×C37C2211yescharacteristic
35C2×#124×C37C2211yescharacteristic, complemented
36C2×#123×C37C2211yescharacteristic
37C2×C22⋊Q8×C37C2211yescharacteristic
38C2×#121×C37C2211yescharacteristic
39C2×#121×C37C2211yescharacteristic
40C2×#121×C37C2211yescharacteristic
41C2×#120×C37C2211yescharacteristic
42C2×#120×C37C2211yescharacteristic
43C2×#120×C37C2211yescharacteristic
44C2×C4×D4×C37C2211yescharacteristic
45C2×#117×C37C2211yescharacteristic
46C22×C4⋊C4×C37C2211yescharacteristic
47C22×C22⋊C4×C37C2211yescharacteristic
48C22×C22⋊C4×C37C2211yescharacteristic
49C22×C22⋊C4×C37C2211yescharacteristic
50C22×C42×C37C2211yescharacteristic
51C37×#401C2211yescharacteristic, complemented
52C37×#400C2211yescharacteristic, complemented
53C37×#400C2211yescharacteristic, complemented
54C37×#400C2211yescharacteristic, complemented
55C37×#398C2211yescharacteristic, complemented
56C37×#398C2211yescharacteristic, complemented
57C37×#397C2211yescharacteristic
58C37×#397C2211yescharacteristic
59C37×#397C2211yescharacteristic
60C37×#397C2211yescharacteristic
61C37×#397C2211yescharacteristic
62C37×#397C2211yescharacteristic
63C37×#397C2211yescharacteristic
64C37×#397C2211yescharacteristic, complemented
65C37×#397C2211yescharacteristic, complemented
66C37×#397C2211yescharacteristic, complemented
67C37×#397C2211yescharacteristic, complemented
68C37×#396C2211yescharacteristic
69C37×#396C2211yescharacteristic
70C37×#396C2211yescharacteristic
71C37×#395C2211yescharacteristic, complemented
72C37×#395C2211yescharacteristic, complemented
73C37×#394C2211yescharacteristic
74C37×#394C2211yescharacteristic
75C37×#394C2211yescharacteristic
76C37×#394C2211yescharacteristic
77C37×#394C2211yescharacteristic
78C37×#394C2211yescharacteristic
79C37×#394C2211yescharacteristic
80C37×#394C2211yescharacteristic
81C37×#394C2211yescharacteristic
82C37×#394C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic, complemented
88C37×#394C2211yescharacteristic, complemented
89C37×#393C2211yescharacteristic
90C37×#393C2211yescharacteristic
91C37×#393C2211yescharacteristic
92C37×#393C2211yescharacteristic, complemented
93C37×#392C2211yescharacteristic
94C37×#392C2211yescharacteristic
95C37×#392C2211yescharacteristic
96C37×#392C2211yescharacteristic
97C37×#392C2211yescharacteristic
98C37×#392C2211yescharacteristic, complemented
99C37×#391C2211yescharacteristic, complemented
100C37×#391C2211yescharacteristic, complemented
101C37×#391C2211yescharacteristic, complemented
102C37×#391C2211yescharacteristic, complemented
103C37×#390C2211yescharacteristic
104C37×#390C2211yescharacteristic
105C37×#390C2211yescharacteristic
106C37×#390C2211yescharacteristic
107C37×#390C2211yescharacteristic, complemented
108C37×#390C2211yescharacteristic, complemented
109C37×#390C2211yescharacteristic, complemented
110C37×#389C2211yescharacteristic, complemented
111C37×#389C2211yescharacteristic, complemented
112C37×#389C2211yescharacteristic, complemented
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×#388C2211yescharacteristic, complemented
134C37×#388C2211yescharacteristic, complemented
135C37×#388C2211yescharacteristic, complemented
136C37×#388C2211yescharacteristic, complemented
137C37×#388C2211yescharacteristic, 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×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#386C2211yescharacteristic
157C37×#386C2211yescharacteristic
158C37×#386C2211yescharacteristic
159C37×#386C2211yescharacteristic
160C37×#386C2211yescharacteristic
161C37×#386C2211yescharacteristic
162C37×#386C2211yescharacteristic, complemented
163C37×#386C2211yescharacteristic, complemented
164C37×#386C2211yescharacteristic, complemented
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic
167C37×#385C2211yescharacteristic
168C37×#385C2211yescharacteristic
169C37×#385C2211yescharacteristic, complemented
170C37×#385C2211yescharacteristic, complemented
171C37×#385C2211yescharacteristic, complemented
172C37×#385C2211yescharacteristic, complemented
173C37×#383C2211yescharacteristic, complemented
174C37×#383C2211yescharacteristic, complemented
175C37×#382C2211yescharacteristic, complemented
176C37×#381C2211yescharacteristic
177C37×#381C2211yescharacteristic, complemented
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic, complemented
180C37×#380C2211yescharacteristic, complemented
181C37×#380C2211yescharacteristic, complemented
182C37×#380C2211yescharacteristic, complemented
183C37×#379C2211yescharacteristic
184C4×C22⋊C4×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C25×C37C2311yescharacteristic
188C2×#41×C37—24no—
189C2×#41×C37—42no—
190C2×#41×C37—42no—
191C22×Q8×C37C2311yescharacteristic
192C22×Q8×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C22×D4×C37C2311yescharacteristic
196C22×D4×C37C2311yescharacteristic
197C22×D4×C37C2311yescharacteristic
198C22×D4×C37C2311yescharacteristic
199C22×D4×C37C2311yescharacteristic
200C22×D4×C37C2311yescharacteristic
201C22×D4×C37C2311yescharacteristic
202C22×D4×C37C2311yescharacteristic
203C22×D4×C37C2311yescharacteristic
204C22×D4×C37C2311yescharacteristic
205C23×C4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C23×C4×C37C2311yescharacteristic
214#126×C37—42no—
215#124×C37—42no—
216#124×C37—42no—
217#123×C37—24no—
218C22⋊Q8×C37—42no—
219#121×C37—42no—
220#121×C37—42no—
221#121×C37—42no—
222#120×C37—42no—
223#120×C37—42no—
224#120×C37—42no—
225C4×D4×C37—42no—
226#117×C37—42no—
227C2×C4⋊C4×C37—42no—
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C22⋊C4×C37—24no—
253C2×C22⋊C4×C37—42no—
254C2×C22⋊C4×C37—42no—
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×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×C42×C37—42no—
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
312C2×C42×C37C2311yescharacteristic
313C2×C42×C37C2311yescharacteristic
314C2×C42×C37C2311yescharacteristic
315C2×C42×C37C2311yescharacteristic
316C2×C42×C37C2311yescharacteristic
317C2×C42×C37C2311yescharacteristic
318C2×C42×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
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
376#41×C37—416no—
377C2×Q8×C37—22no—
378C2×Q8×C37—22no—
379C2×Q8×C37—41no—
380C2×Q8×C37—41no—
381C2×Q8×C37—41no—
382C2×Q8×C37—41no—
383C2×D4×C37—22no—
384C2×D4×C37—22no—
385C2×D4×C37—22no—
386C2×D4×C37—22no—
387C2×D4×C37—22no—
388C2×D4×C37—22no—
389C2×D4×C37—22no—
390C2×D4×C37—22no—
391C2×D4×C37—22no—
392C2×D4×C37—22no—
393C2×D4×C37—22no—
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—
412C2×D4×C37—41no—
413C2×D4×C37—41no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C2×D4×C37—41no—
418C2×D4×C37—41no—
419C22×C4×C37—22no—
420C22×C4×C37—22no—
421C22×C4×C37—22no—
422C22×C4×C37—22no—
423C22×C4×C37—22no—
424C22×C4×C37—22no—
425C22×C4×C37—22no—
426C22×C4×C37—22no—
427C22×C4×C37—22no—
428C22×C4×C37—22no—
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—41no—
439C22×C4×C37—41no—
440C22×C4×C37—41no—
441C22×C4×C37—41no—
442C22×C4×C37—41no—
443C22×C4×C37—41no—
444C22×C4×C37—41no—
445C22×C4×C37#4114yes—
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
465C22×C4×C37C2411yescharacteristic
466C22×C4×C37C2411yescharacteristic
467C22×C4×C37C2411yescharacteristic
468C22×C4×C37C2411yescharacteristic
469C22×C4×C37C2411yescharacteristic
470C22×C4×C37C2411yescharacteristic
471C4⋊C4×C37—22no—
472C4⋊C4×C37—22no—
473C4⋊C4×C37—22no—
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—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—
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—22no—
550C42×C37—22no—
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—82no—
601C23×C37—82no—
602C23×C37—82no—
603C23×C37—82no—
604C23×C37C2×#4112yes—
605C23×C37H(5,𝔽2)12yes—
606C23×C37H(5,𝔽2)12yes—
607C23×C37C2511yescharacteristic
608Q8×C37—44no—
609Q8×C37—82no—
610D4×C37—44no—
611D4×C37—44no—
612D4×C37—44no—
613D4×C37—44no—
614D4×C37—82no—
615D4×C37—82no—
616D4×C37—82no—
617D4×C37—82no—
618D4×C37—82no—
619D4×C37—82no—
620D4×C37—82no—
621D4×C37—82no—
622C2×C4×C37—28no—
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—21no—
694C2×C4×C37—21no—
695C2×C4×C37—44no—
696C2×C4×C37—44no—
697C2×C4×C37—44no—
698C2×C4×C37—44no—
699C2×C4×C37—44no—
700C2×C4×C37—82no—
701C2×C4×C37—82no—
702C2×C4×C37—82no—
703C2×C4×C37C2×#4112yes—
704C2×C4×C37C2×#4112yes—
705C2×C4×C37H(5,𝔽2)12yes—
706#36795C3711yesmaximal, characteristic, direct product factor, Sylow
707C22×C37—22no—
708C22×C37—22no—
709C22×C37—22no—
710C22×C37—22no—
711C22×C37—22no—
712C22×C37—22no—
713C22×C37—41no—
714C22×C37—41no—
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×C37—88no—
749C22×C37#53814yes—
750C22×C37C22×#4111yescharacteristic
751C22×C37C2×H(5,𝔽2)11yescharacteristic
752C22×C37C2×H(5,𝔽2)11yescharacteristic
753C22×C37C2×H(5,𝔽2)11yescharacteristic
754C22×C37#58511yescharacteristic
755C22×C37#58511yescharacteristic
756C22×C37#58511yescharacteristic
757C4×C37—22no—
758C4×C37—22no—
759C4×C37—22no—
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—
780C4×C37—41no—
781C4×C37—41no—
782#2852C2×C3711yescharacteristic, complemented
783#2850C2×C3711yescharacteristic, complemented
784#2808C2×C3711yescharacteristic, complemented
785#2803C2×C3711yescharacteristic, complemented
786#2803C2×C3711yescharacteristic, complemented
787#2786C2×C3711yescharacteristic, complemented
788#2781C2×C3711yescharacteristic, complemented
789#2779C2×C3711yescharacteristic, complemented
790#2778C2×C3711yescharacteristic, complemented
791#2775C2×C3711yescharacteristic, complemented
792#2759C2×C3711yescharacteristic, complemented
793#2756C2×C3711yescharacteristic, complemented
794#2756C2×C3711yescharacteristic, complemented
795#2751C2×C3711yescharacteristic, complemented
796#2733C2×C3711yescharacteristic, complemented
797#2715C2×C3711yescharacteristic, complemented
798#2714C2×C3711yescharacteristic, complemented
799#2686C2×C3711yescharacteristic, complemented
800#2622C2×C3711yescharacteristic, complemented
801#2617C2×C3711yescharacteristic, complemented
802#2510C2×C3711yescharacteristic, complemented
803#2472C2×C3711yescharacteristic, complemented
804#2444C2×C3711yescharacteristic, complemented
805#2438C2×C3711yescharacteristic, complemented
806#2430C2×C3711yescharacteristic, complemented
807#2424C2×C3711yescharacteristic, complemented
808#2411C2×C3711yescharacteristic, complemented
809#2404C2×C3711yescharacteristic, complemented
810#2322C2×C3711yescharacteristic, complemented
811#2311C2×C3711yescharacteristic, complemented
812C2×#388C2×C3711yescharacteristic, complemented
813C2×C37—24no—
814C2×C37—81no—
815C2×C37—81no—
816C2×C37—81no—
817C2×C37—81no—
818C2×C37—81no—
819C2×C37C2×#53811yescharacteristic
820C2×C37#349311yescharacteristic
821C2×C37#350611yescharacteristic
822C2×C37#353411yescharacteristic
823C2×C37#354211yescharacteristic
824C2×C37#354511yescharacteristic
825C2×C37#356011yescharacteristic
826C22×#41C22×C3711yescharacteristic
827C2×#126C22×C3711yescharacteristic, complemented
828C2×#124C22×C3711yescharacteristic
829C2×#124C22×C3711yescharacteristic, complemented
830C2×#123C22×C3711yescharacteristic
831C2×C22⋊Q8C22×C3711yescharacteristic
832C2×#121C22×C3711yescharacteristic
833C2×#121C22×C3711yescharacteristic
834C2×#121C22×C3711yescharacteristic
835C2×#120C22×C3711yescharacteristic
836C2×#120C22×C3711yescharacteristic
837C2×#120C22×C3711yescharacteristic
838C2×C4×D4C22×C3711yescharacteristic
839C2×#117C22×C3711yescharacteristic
840C22×C4⋊C4C22×C3711yescharacteristic
841C22×C22⋊C4C22×C3711yescharacteristic
842C22×C22⋊C4C22×C3711yescharacteristic
843C22×C22⋊C4C22×C3711yescharacteristic
844C22×C42C22×C3711yescharacteristic
845#401C22×C3711yescharacteristic, complemented
846#400C22×C3711yescharacteristic, complemented
847#400C22×C3711yescharacteristic, complemented
848#400C22×C3711yescharacteristic, complemented
849#398C22×C3711yescharacteristic, complemented
850#398C22×C3711yescharacteristic, complemented
851#397C22×C3711yescharacteristic
852#397C22×C3711yescharacteristic
853#397C22×C3711yescharacteristic
854#397C22×C3711yescharacteristic
855#397C22×C3711yescharacteristic
856#397C22×C3711yescharacteristic
857#397C22×C3711yescharacteristic
858#397C22×C3711yescharacteristic, complemented
859#397C22×C3711yescharacteristic, complemented
860#397C22×C3711yescharacteristic, complemented
861#397C22×C3711yescharacteristic, complemented
862#396C22×C3711yescharacteristic
863#396C22×C3711yescharacteristic
864#396C22×C3711yescharacteristic
865#395C22×C3711yescharacteristic, complemented
866#395C22×C3711yescharacteristic, complemented
867#394C22×C3711yescharacteristic
868#394C22×C3711yescharacteristic
869#394C22×C3711yescharacteristic
870#394C22×C3711yescharacteristic
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, complemented
882#394C22×C3711yescharacteristic, complemented
883#393C22×C3711yescharacteristic
884#393C22×C3711yescharacteristic
885#393C22×C3711yescharacteristic
886#393C22×C3711yescharacteristic, complemented
887#392C22×C3711yescharacteristic
888#392C22×C3711yescharacteristic
889#392C22×C3711yescharacteristic
890#392C22×C3711yescharacteristic
891#392C22×C3711yescharacteristic
892#392C22×C3711yescharacteristic, complemented
893#391C22×C3711yescharacteristic, complemented
894#391C22×C3711yescharacteristic, complemented
895#391C22×C3711yescharacteristic, complemented
896#391C22×C3711yescharacteristic, complemented
897#390C22×C3711yescharacteristic
898#390C22×C3711yescharacteristic
899#390C22×C3711yescharacteristic
900#390C22×C3711yescharacteristic
901#390C22×C3711yescharacteristic, complemented
902#390C22×C3711yescharacteristic, complemented
903#390C22×C3711yescharacteristic, complemented
904#389C22×C3711yescharacteristic, complemented
905#389C22×C3711yescharacteristic, complemented
906#389C22×C3711yescharacteristic, complemented
907#388C22×C3711yescharacteristic
908#388C22×C3711yescharacteristic
909#388C22×C3711yescharacteristic
910#388C22×C3711yescharacteristic
911#388C22×C3711yescharacteristic
912#388C22×C3711yescharacteristic
913#388C22×C3711yescharacteristic
914#388C22×C3711yescharacteristic
915#388C22×C3711yescharacteristic
916#388C22×C3711yescharacteristic
917#388C22×C3711yescharacteristic
918#388C22×C3711yescharacteristic
919#388C22×C3711yescharacteristic
920#388C22×C3711yescharacteristic, complemented
921#388C22×C3711yescharacteristic, complemented
922#388C22×C3711yescharacteristic, complemented
923#388C22×C3711yescharacteristic, complemented
924#388C22×C3711yescharacteristic, complemented
925#388C22×C3711yescharacteristic, complemented
926#388C22×C3711yescharacteristic, complemented
927#388C22×C3711yescharacteristic, complemented
928#388C22×C3711yescharacteristic, complemented
929#388C22×C3711yescharacteristic, complemented
930#388C22×C3711yescharacteristic, complemented
931#388C22×C3711yescharacteristic, complemented
932#387C22×C3711yescharacteristic, complemented
933#387C22×C3711yescharacteristic, complemented
934#387C22×C3711yescharacteristic, complemented
935#387C22×C3711yescharacteristic, complemented
936#387C22×C3711yescharacteristic, complemented
937#387C22×C3711yescharacteristic, complemented
938#387C22×C3711yescharacteristic, complemented
939#387C22×C3711yescharacteristic, complemented
940#387C22×C3711yescharacteristic, complemented
941#386C22×C3711yescharacteristic
942#386C22×C3711yescharacteristic
943#386C22×C3711yescharacteristic
944#386C22×C3711yescharacteristic
945#386C22×C3711yescharacteristic
946#386C22×C3711yescharacteristic
947#386C22×C3711yescharacteristic
948#386C22×C3711yescharacteristic
949#386C22×C3711yescharacteristic
950#386C22×C3711yescharacteristic
951#386C22×C3711yescharacteristic
952#386C22×C3711yescharacteristic
953#386C22×C3711yescharacteristic
954#386C22×C3711yescharacteristic
955#386C22×C3711yescharacteristic
956#386C22×C3711yescharacteristic, complemented
957#386C22×C3711yescharacteristic, complemented
958#386C22×C3711yescharacteristic, complemented
959#385C22×C3711yescharacteristic
960#385C22×C3711yescharacteristic
961#385C22×C3711yescharacteristic
962#385C22×C3711yescharacteristic
963#385C22×C3711yescharacteristic, complemented
964#385C22×C3711yescharacteristic, complemented
965#385C22×C3711yescharacteristic, complemented
966#385C22×C3711yescharacteristic, complemented
967#383C22×C3711yescharacteristic, complemented
968#383C22×C3711yescharacteristic, complemented
969#382C22×C3711yescharacteristic, complemented
970#381C22×C3711yescharacteristic
971#381C22×C3711yescharacteristic, complemented
972#380C22×C3711yescharacteristic
973#380C22×C3711yescharacteristic, complemented
974#380C22×C3711yescharacteristic, complemented
975#380C22×C3711yescharacteristic, complemented
976#380C22×C3711yescharacteristic, complemented
977#379C22×C3711yescharacteristic
978C4×C22⋊C4C22×C3711yescharacteristic
979C2×#95C22×C3711yescharacteristic
980C2×#95C22×C3711yescharacteristic
981C37#3679511yescharacteristic, direct product factor, Sylow
982C25C23×C3711yescharacteristic
983C2×#41—24no—
984C2×#41—42no—
985C2×#41—42no—
986C22×Q8C23×C3711yescharacteristic
987C22×Q8C23×C3711yescharacteristic
988C22×D4C23×C3711yescharacteristic
989C22×D4C23×C3711yescharacteristic
990C22×D4C23×C3711yescharacteristic
991C22×D4C23×C3711yescharacteristic
992C22×D4C23×C3711yescharacteristic
993C22×D4C23×C3711yescharacteristic
994C22×D4C23×C3711yescharacteristic
995C22×D4C23×C3711yescharacteristic
996C22×D4C23×C3711yescharacteristic
997C22×D4C23×C3711yescharacteristic
998C22×D4C23×C3711yescharacteristic
999C22×D4C23×C3711yescharacteristic
1000C23×C4C23×C3711yescharacteristic
1001C23×C4C23×C3711yescharacteristic
1002C23×C4C23×C3711yescharacteristic
1003C23×C4C23×C3711yescharacteristic
1004C23×C4C23×C3711yescharacteristic
1005C23×C4C23×C3711yescharacteristic
1006C23×C4C23×C3711yescharacteristic
1007C23×C4C23×C3711yescharacteristic
1008C23×C4C23×C3711yescharacteristic
1009#126—42no—
1010#124—42no—
1011#124—42no—
1012#123—24no—
1013C22⋊Q8—42no—
1014#121—42no—
1015#121—42no—
1016#121—42no—
1017#120—42no—
1018#120—42no—
1019#120—42no—
1020C4×D4—42no—
1021#117—42no—
1022C2×C4⋊C4—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×C22⋊C4—24no—
1048C2×C22⋊C4—42no—
1049C2×C22⋊C4—42no—
1050C2×C22⋊C4C23×C3711yescharacteristic
1051C2×C22⋊C4C23×C3711yescharacteristic
1052C2×C22⋊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×C42—42no—
1105C2×C42C23×C3711yescharacteristic
1106C2×C42C23×C3711yescharacteristic
1107C2×C42C23×C3711yescharacteristic
1108C2×C42C23×C3711yescharacteristic
1109C2×C42C23×C3711yescharacteristic
1110C2×C42C23×C3711yescharacteristic
1111C2×C42C23×C3711yescharacteristic
1112C2×C42C23×C3711yescharacteristic
1113C2×C42C23×C3711yescharacteristic
1114#95C23×C3711yescharacteristic
1115#95C23×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
1156#95C23×C3711yescharacteristic
1157#95C23×C3711yescharacteristic
1158C24—22no—
1159C24—22no—
1160C24—22no—
1161C24—41no—
1162C24—41no—
1163C24—41no—
1164C24—41no—
1165C24C24×C3711yescharacteristic
1166C24C24×C3711yescharacteristic
1167C24C24×C3711yescharacteristic
1168C24C24×C3711yescharacteristic
1169C24C24×C3711yescharacteristic
1170C24C24×C3711yescharacteristic
1171#41—416no—
1172C2×Q8—22no—
1173C2×Q8—22no—
1174C2×Q8—41no—
1175C2×Q8—41no—
1176C2×Q8—41no—
1177C2×Q8—41no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—22no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—22no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
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—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4#41×C3714yes—
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
1258C22×C4C24×C3711yescharacteristic
1259C22×C4C24×C3711yescharacteristic
1260C22×C4C24×C3711yescharacteristic
1261C22×C4C24×C3711yescharacteristic
1262C22×C4C24×C3711yescharacteristic
1263C22×C4C24×C3711yescharacteristic
1264C22×C4C24×C3711yescharacteristic
1265C22×C4C24×C3711yescharacteristic
1266C4⋊C4—22no—
1267C4⋊C4—22no—
1268C4⋊C4—22no—
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—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
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—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C42—22no—
1345C42—22no—
1346C42—41no—
1347C42—41no—
1348C42—41no—
1349C42—41no—
1350C42—41no—
1351C42—41no—
1352C42—41no—
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—21no—
1391C23—21no—
1392C23—44no—
1393C23—44no—
1394C23—44no—
1395C23—82no—
1396C23—82no—
1397C23—82no—
1398C23—82no—
1399C23C2×#41×C3712yes—
1400C23H(5,𝔽2)×C3712yes—
1401C23H(5,𝔽2)×C3712yes—
1402C23C25×C3711yescharacteristic
1403Q8—44no—
1404Q8—82no—
1405D4—44no—
1406D4—44no—
1407D4—44no—
1408D4—44no—
1409D4—82no—
1410D4—82no—
1411D4—82no—
1412D4—82no—
1413D4—82no—
1414D4—82no—
1415D4—82no—
1416D4—82no—
1417C2×C4—28no—
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—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4C2×#41×C3712yes—
1499C2×C4C2×#41×C3712yes—
1500C2×C4H(5,𝔽2)×C3712yes—
1501C22—22no—
1502C22—22no—
1503C22—22no—
1504C22—22no—
1505C22—22no—
1506C22—22no—
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—
1540C22—41no—
1541C22—41no—
1542C22—88no—
1543C22C37×#53814yes—
1544C22C22×#41×C3711yescharacteristic
1545C22C2×H(5,𝔽2)×C3711yescharacteristic
1546C22C2×H(5,𝔽2)×C3711yescharacteristic
1547C22C2×H(5,𝔽2)×C3711yescharacteristic
1548C22C37×#58511yescharacteristic
1549C22C37×#58511yescharacteristic
1550C22C37×#58511yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—22no—
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—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C2—24no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—81no—
1581C2—81no—
1582C2C2×C37×#53811yescharacteristic
1583C2C37×#349311yescharacteristic
1584C2C37×#350611yescharacteristic
1585C2C37×#353411yescharacteristic
1586C2C37×#354211yescharacteristic
1587C2C37×#354511yescharacteristic
1588C2C37×#356011yescharacteristic
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×#2852C2semidirect
2. C37×#2850C2semidirect
3. C37×#2808C2semidirect
4. C37×#2803C2semidirect
5. C37×#2803C2semidirect
6. C37×#2786C2semidirect
7. C37×#2781C2semidirect
8. C37×#2779C2semidirect
9. C37×#2778C2semidirect
10. C37×#2775C2semidirect
11. C37×#2759C2semidirect
12. C37×#2756C2semidirect
13. C37×#2756C2semidirect
14. C37×#2751C2semidirect
15. C37×#2733C2semidirect
16. C37×#2715C2semidirect
17. C37×#2714C2semidirect
18. C37×#2686C2semidirect
19. C37×#2622C2semidirect
20. C37×#2617C2semidirect
21. C37×#2510C2semidirect
22. C37×#2472C2semidirect
23. C37×#2444C2semidirect
24. C37×#2438C2semidirect
25. C37×#2430C2semidirect
26. C37×#2424C2semidirect
27. C37×#2411C2semidirect
28. C37×#2404C2semidirect
29. C37×#2322C2semidirect
30. C37×#2311C2semidirect
31. C2×C37×#388C2semidirect
33. C2×#126×C37C22semidirect
35. C2×#124×C37C22semidirect
51. C37×#401C22semidirect
52. C37×#400C22semidirect
53. C37×#400C22semidirect
54. C37×#400C22semidirect
55. C37×#398C22semidirect
56. C37×#398C22semidirect
64. C37×#397C22semidirect
65. C37×#397C22semidirect
66. C37×#397C22semidirect
67. C37×#397C22semidirect
71. C37×#395C22semidirect
72. C37×#395C22semidirect
87. C37×#394C22semidirect
88. C37×#394C22semidirect
92. C37×#393C22semidirect
98. C37×#392C22semidirect
99. C37×#391C22semidirect
100. C37×#391C22semidirect
101. C37×#391C22semidirect
102. C37×#391C22semidirect
107. C37×#390C22semidirect
108. C37×#390C22semidirect
109. C37×#390C22semidirect
110. C37×#389C22semidirect
111. C37×#389C22semidirect
112. 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×#388C22semidirect
134. C37×#388C22semidirect
135. C37×#388C22semidirect
136. C37×#388C22semidirect
137. C37×#388C22semidirect
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
162. C37×#386C22semidirect
163. C37×#386C22semidirect
164. C37×#386C22semidirect
169. C37×#385C22semidirect
170. C37×#385C22semidirect
171. C37×#385C22semidirect
172. C37×#385C22semidirect
173. C37×#383C22semidirect
174. C37×#383C22semidirect
175. C37×#382C22semidirect
177. C37×#381C22semidirect
179. C37×#380C22semidirect
180. C37×#380C22semidirect
181. C37×#380C22semidirect
182. C37×#380C22semidirect
706. #36795C37direct (N × H)
782. #2852C2×C37semidirect
783. #2850C2×C37semidirect
784. #2808C2×C37semidirect
785. #2803C2×C37semidirect
786. #2803C2×C37semidirect
787. #2786C2×C37semidirect
788. #2781C2×C37semidirect
789. #2779C2×C37semidirect
790. #2778C2×C37semidirect
791. #2775C2×C37semidirect
792. #2759C2×C37semidirect
793. #2756C2×C37semidirect
794. #2756C2×C37semidirect
795. #2751C2×C37semidirect
796. #2733C2×C37semidirect
797. #2715C2×C37semidirect
798. #2714C2×C37semidirect
799. #2686C2×C37semidirect
800. #2622C2×C37semidirect
801. #2617C2×C37semidirect
802. #2510C2×C37semidirect
803. #2472C2×C37semidirect
804. #2444C2×C37semidirect
805. #2438C2×C37semidirect
806. #2430C2×C37semidirect
807. #2424C2×C37semidirect
808. #2411C2×C37semidirect
809. #2404C2×C37semidirect
810. #2322C2×C37semidirect
811. #2311C2×C37semidirect
812. C2×#388C2×C37semidirect
827. C2×#126C22×C37semidirect
829. C2×#124C22×C37semidirect
845. #401C22×C37semidirect
846. #400C22×C37semidirect
847. #400C22×C37semidirect
848. #400C22×C37semidirect
849. #398C22×C37semidirect
850. #398C22×C37semidirect
858. #397C22×C37semidirect
859. #397C22×C37semidirect
860. #397C22×C37semidirect
861. #397C22×C37semidirect
865. #395C22×C37semidirect
866. #395C22×C37semidirect
881. #394C22×C37semidirect
882. #394C22×C37semidirect
886. #393C22×C37semidirect
892. #392C22×C37semidirect
893. #391C22×C37semidirect
894. #391C22×C37semidirect
895. #391C22×C37semidirect
896. #391C22×C37semidirect
901. #390C22×C37semidirect
902. #390C22×C37semidirect
903. #390C22×C37semidirect
904. #389C22×C37semidirect
905. #389C22×C37semidirect
906. #389C22×C37semidirect
920. #388C22×C37semidirect
921. #388C22×C37semidirect
922. #388C22×C37semidirect
923. #388C22×C37semidirect
924. #388C22×C37semidirect
925. #388C22×C37semidirect
926. #388C22×C37semidirect
927. #388C22×C37semidirect
928. #388C22×C37semidirect
929. #388C22×C37semidirect
930. #388C22×C37semidirect
931. #388C22×C37semidirect
932. #387C22×C37semidirect
933. #387C22×C37semidirect
934. #387C22×C37semidirect
935. #387C22×C37semidirect
936. #387C22×C37semidirect
937. #387C22×C37semidirect
938. #387C22×C37semidirect
939. #387C22×C37semidirect
940. #387C22×C37semidirect
956. #386C22×C37semidirect
957. #386C22×C37semidirect
958. #386C22×C37semidirect
963. #385C22×C37semidirect
964. #385C22×C37semidirect
965. #385C22×C37semidirect
966. #385C22×C37semidirect
967. #383C22×C37semidirect
968. #383C22×C37semidirect
969. #382C22×C37semidirect
971. #381C22×C37semidirect
973. #380C22×C37semidirect
974. #380C22×C37semidirect
975. #380C22×C37semidirect
976. #380C22×C37semidirect
981. C37#36795direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#28522
C37×#28502
C37×#28082
C37×#28032
C37×#27862
C37×#27812
C37×#27792
C37×#27782
C37×#27752
C37×#27592
C37×#27562
C37×#27512
C37×#27332
C37×#27152
C37×#27142
C37×#26862
C37×#26222
C37×#26172
C37×#25102
C37×#24722
C37×#24442
C37×#24382
C37×#24302
C37×#24242
C37×#24112
C37×#24042
C37×#23222
C37×#23112
C2×C37×#3882
#3679537