Finite Group Databasebeta

← C37×#36781 #22658034

Subgroups — C37×#36781 #22658034

Order 9472.

1690 conjugacy classes of subgroups.

The subgroup lattice has 1450 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×#2795C211yesmaximal, characteristic, complemented
4C37×#2793C211yesmaximal, characteristic, complemented
5C37×#2779C211yesmaximal, characteristic, complemented
6C37×#2767C211yesmaximal, characteristic, complemented
7C37×#2765C211yesmaximal, characteristic, complemented
8C37×#2761C211yesmaximal, characteristic, complemented
9C37×#2758C211yesmaximal, characteristic, complemented
10C37×#2757C211yesmaximal, characteristic, complemented
11C37×#2747C211yesmaximal, characteristic, complemented
12C37×#2745C211yesmaximal, characteristic, complemented
13C37×#2739C211yesmaximal, characteristic, complemented
14C37×#2737C211yesmaximal, characteristic, complemented
15C37×#2731C211yesmaximal, characteristic, complemented
16C37×#2716C211yesmaximal, characteristic, complemented
17C37×#2691C211yesmaximal, characteristic, complemented
18C37×#2686C211yesmaximal, characteristic, complemented
19C37×#2643C211yesmaximal, characteristic, complemented
20C37×#2639C211yesmaximal, characteristic, complemented
21C37×#2591C211yesmaximal, characteristic, complemented
22C37×#2579C211yesmaximal, characteristic, complemented
23C37×#2450C211yesmaximal, characteristic, complemented
24C37×#2450C211yesmaximal, characteristic, complemented
25C37×#2444C211yesmaximal, characteristic, complemented
26C37×#2444C211yesmaximal, characteristic, complemented
27C37×#2440C211yesmaximal, characteristic, complemented
28C37×#2416C211yesmaximal, characteristic
29C37×#2325C211yesmaximal, characteristic, complemented
30C37×#2318C211yesmaximal, characteristic, complemented
31C2×C37×#387C211yesmaximal, characteristic, complemented
32C2×C4⋊Q8×C37C2211yescharacteristic
33C2×#126×C37C2211yescharacteristic
34C2×#124×C37C2211yescharacteristic
35C2×C22⋊Q8×C37C2211yescharacteristic
36C2×C22⋊Q8×C37C2211yescharacteristic
37C2×#121×C37C2211yescharacteristic
38C2×#121×C37C2211yescharacteristic
39C2×#121×C37C2211yescharacteristic
40C2×#121×C37C2211yescharacteristic
41C2×C4×D4×C37C2211yescharacteristic
42C2×C4×D4×C37C2211yescharacteristic
43C2×C4×D4×C37C2211yescharacteristic
44C22×C4⋊C4×C37C2211yescharacteristic
45C22×C4⋊C4×C37C2211yescharacteristic
46C22×C42×C37C2211yescharacteristic
47C37×#401C2211yescharacteristic
48C37×#400C2211yescharacteristic
49C37×#400C2211yescharacteristic
50C37×#400C2211yescharacteristic
51C37×#400C2211yescharacteristic
52C37×#400C2211yescharacteristic
53C37×#400C2211yescharacteristic
54C37×#400C2211yescharacteristic
55C37×#400C2211yescharacteristic
56C37×#400C2211yescharacteristic
57C37×#400C2211yescharacteristic
58C37×#400C2211yescharacteristic
59C37×#398C2211yescharacteristic
60C37×#398C2211yescharacteristic
61C37×#398C2211yescharacteristic
62C37×#398C2211yescharacteristic
63C37×#398C2211yescharacteristic
64C37×#398C2211yescharacteristic
65C37×#397C2211yescharacteristic
66C37×#397C2211yescharacteristic
67C37×#397C2211yescharacteristic
68C37×#397C2211yescharacteristic
69C37×#397C2211yescharacteristic
70C37×#397C2211yescharacteristic
71C37×#397C2211yescharacteristic
72C37×#397C2211yescharacteristic
73C37×#397C2211yescharacteristic
74C37×#396C2211yescharacteristic
75C37×#396C2211yescharacteristic
76C37×#396C2211yescharacteristic
77C37×#396C2211yescharacteristic
78C37×#396C2211yescharacteristic
79C37×#396C2211yescharacteristic
80C37×#396C2211yescharacteristic
81C37×#395C2211yescharacteristic
82C37×#395C2211yescharacteristic
83C37×#394C2211yescharacteristic
84C37×#394C2211yescharacteristic
85C37×#394C2211yescharacteristic
86C37×#394C2211yescharacteristic
87C37×#394C2211yescharacteristic
88C37×#394C2211yescharacteristic
89C37×#394C2211yescharacteristic
90C37×#394C2211yescharacteristic
91C37×#393C2211yescharacteristic
92C37×#393C2211yescharacteristic
93C37×#393C2211yescharacteristic
94C37×#393C2211yescharacteristic
95C37×#391C2211yescharacteristic
96C37×#391C2211yescharacteristic
97C37×#391C2211yescharacteristic
98C37×#390C2211yescharacteristic
99C37×#390C2211yescharacteristic
100C37×#389C2211yescharacteristic
101C37×#389C2211yescharacteristic
102C37×#389C2211yescharacteristic
103C37×#388C2211yescharacteristic
104C37×#388C2211yescharacteristic
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×#387C2211yescharacteristic
121C37×#387C2211yescharacteristic
122C37×#387C2211yescharacteristic
123C37×#387C2211yescharacteristic
124C37×#387C2211yescharacteristic
125C37×#387C2211yescharacteristic
126C37×#387C2211yescharacteristic
127C37×#387C2211yescharacteristic
128C37×#387C2211yescharacteristic
129C37×#387C2211yescharacteristic
130C37×#387C2211yescharacteristic
131C37×#387C2211yescharacteristic
132C37×#387C2211yescharacteristic
133C37×#387C2211yescharacteristic
134C37×#387C2211yescharacteristic
135C37×#387C2211yescharacteristic
136C37×#387C2211yescharacteristic
137C37×#387C2211yescharacteristic
138C37×#387C2211yescharacteristic
139C37×#387C2211yescharacteristic
140C37×#387C2211yescharacteristic
141C37×#386C2211yescharacteristic
142C37×#386C2211yescharacteristic
143C37×#386C2211yescharacteristic
144C37×#386C2211yescharacteristic
145C37×#386C2211yescharacteristic
146C37×#386C2211yescharacteristic
147C37×#386C2211yescharacteristic
148C37×#386C2211yescharacteristic
149C37×#386C2211yescharacteristic
150C37×#386C2211yescharacteristic
151C37×#386C2211yescharacteristic
152C37×#386C2211yescharacteristic
153C37×#386C2211yescharacteristic
154C37×#386C2211yescharacteristic
155C37×#386C2211yescharacteristic
156C37×#386C2211yescharacteristic
157C37×#385C2211yescharacteristic
158C37×#385C2211yescharacteristic
159C37×#385C2211yescharacteristic
160C37×#385C2211yescharacteristic
161C37×#385C2211yescharacteristic
162C37×#385C2211yescharacteristic
163C37×#385C2211yescharacteristic
164C37×#385C2211yescharacteristic
165C37×#385C2211yescharacteristic
166C37×#385C2211yescharacteristic
167C37×#385C2211yescharacteristic
168C37×#385C2211yescharacteristic
169C37×#384C2211yescharacteristic
170C37×#383C2211yescharacteristic
171C37×#383C2211yescharacteristic
172C37×#382C2211yescharacteristic
173C37×#382C2211yescharacteristic
174C37×#381C2211yescharacteristic
175C37×#381C2211yescharacteristic
176C37×#381C2211yescharacteristic
177C37×#380C2211yescharacteristic
178C37×#380C2211yescharacteristic
179C37×#380C2211yescharacteristic
180C37×#380C2211yescharacteristic
181C37×#380C2211yescharacteristic
182C4×C22⋊C4×C37C2211yescharacteristic
183C2×#95×C37C2211yescharacteristic
184C2×#95×C37C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C22×Q8×C37C2311yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×D4×C37C2311yescharacteristic
190C22×D4×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C22×D4×C37C2311yescharacteristic
195C23×C4×C37C2311yescharacteristic
196C23×C4×C37C2311yescharacteristic
197C23×C4×C37C2311yescharacteristic
198C23×C4×C37C2311yescharacteristic
199C23×C4×C37C2311yescharacteristic
200C23×C4×C37C2311yescharacteristic
201C23×C4×C37C2311yescharacteristic
202C23×C4×C37C2311yescharacteristic
203C23×C4×C37C2311yescharacteristic
204C23×C4×C37C2311yescharacteristic
205C4⋊Q8×C37—42no—
206#126×C37—42no—
207#124×C37—42no—
208C22⋊Q8×C37—42no—
209C22⋊Q8×C37—42no—
210#121×C37—24no—
211#121×C37—42no—
212#121×C37—42no—
213#121×C37—42no—
214C4×D4×C37—24no—
215C4×D4×C37—42no—
216C4×D4×C37—42no—
217C2×C4⋊C4×C37—24no—
218C2×C4⋊C4×C37—42no—
219C2×C4⋊C4×C37C2311yescharacteristic
220C2×C4⋊C4×C37C2311yescharacteristic
221C2×C4⋊C4×C37C2311yescharacteristic
222C2×C4⋊C4×C37C2311yescharacteristic
223C2×C4⋊C4×C37C2311yescharacteristic
224C2×C4⋊C4×C37C2311yescharacteristic
225C2×C4⋊C4×C37C2311yescharacteristic
226C2×C4⋊C4×C37C2311yescharacteristic
227C2×C4⋊C4×C37C2311yescharacteristic
228C2×C4⋊C4×C37C2311yescharacteristic
229C2×C4⋊C4×C37C2311yescharacteristic
230C2×C4⋊C4×C37C2311yescharacteristic
231C2×C4⋊C4×C37C2311yescharacteristic
232C2×C4⋊C4×C37C2311yescharacteristic
233C2×C4⋊C4×C37C2311yescharacteristic
234C2×C4⋊C4×C37C2311yescharacteristic
235C2×C4⋊C4×C37C2311yescharacteristic
236C2×C4⋊C4×C37C2311yescharacteristic
237C2×C4⋊C4×C37C2311yescharacteristic
238C2×C4⋊C4×C37C2311yescharacteristic
239C2×C4⋊C4×C37C2311yescharacteristic
240C2×C4⋊C4×C37C2311yescharacteristic
241C2×C4⋊C4×C37C2311yescharacteristic
242C2×C4⋊C4×C37C2311yescharacteristic
243C2×C4⋊C4×C37C2311yescharacteristic
244C2×C4⋊C4×C37C2311yescharacteristic
245C2×C4⋊C4×C37C2311yescharacteristic
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×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×C42×C37—42no—
292C2×C42×C37C2311yescharacteristic
293C2×C42×C37C2311yescharacteristic
294C2×C42×C37C2311yescharacteristic
295C2×C42×C37C2311yescharacteristic
296C2×C42×C37C2311yescharacteristic
297C2×C42×C37C2311yescharacteristic
298C2×C42×C37C2311yescharacteristic
299C2×C42×C37C2311yescharacteristic
300C2×C42×C37C2311yescharacteristic
301#95×C37C2311yescharacteristic
302#95×C37C2311yescharacteristic
303#95×C37C2311yescharacteristic
304#95×C37C2311yescharacteristic
305#95×C37C2311yescharacteristic
306#95×C37C2311yescharacteristic
307#95×C37C2311yescharacteristic
308#95×C37C2311yescharacteristic
309#95×C37C2311yescharacteristic
310#95×C37C2311yescharacteristic
311#95×C37C2311yescharacteristic
312#95×C37C2311yescharacteristic
313#95×C37C2311yescharacteristic
314#95×C37C2311yescharacteristic
315#95×C37C2311yescharacteristic
316#95×C37C2311yescharacteristic
317#95×C37C2311yescharacteristic
318#95×C37C2311yescharacteristic
319#95×C37C2311yescharacteristic
320#95×C37C2311yescharacteristic
321#95×C37C2311yescharacteristic
322#95×C37C2311yescharacteristic
323#95×C37C2311yescharacteristic
324#95×C37C2311yescharacteristic
325#95×C37C2311yescharacteristic
326#95×C37C2311yescharacteristic
327#95×C37C2311yescharacteristic
328#95×C37C2311yescharacteristic
329#95×C37C2311yescharacteristic
330#95×C37C2311yescharacteristic
331#95×C37C2311yescharacteristic
332#95×C37C2311yescharacteristic
333#95×C37C2311yescharacteristic
334#95×C37C2311yescharacteristic
335#95×C37C2311yescharacteristic
336#95×C37C2311yescharacteristic
337#95×C37C2311yescharacteristic
338#95×C37C2311yescharacteristic
339#95×C37C2311yescharacteristic
340#95×C37C2311yescharacteristic
341#95×C37C2311yescharacteristic
342#95×C37C2311yescharacteristic
343#95×C37C2311yescharacteristic
344#95×C37C2311yescharacteristic
345#95×C37C2311yescharacteristic
346#95×C37C2311yescharacteristic
347#95×C37C2311yescharacteristic
348#95×C37C2311yescharacteristic
349#95×C37C2311yescharacteristic
350#95×C37C2311yescharacteristic
351#95×C37C2311yescharacteristic
352#95×C37C2311yescharacteristic
353#95×C37C2311yescharacteristic
354#95×C37C2311yescharacteristic
355#95×C37C2311yescharacteristic
356#95×C37C2311yescharacteristic
357C24×C37C2411yescharacteristic
358C24×C37C2411yescharacteristic
359C24×C37C2411yescharacteristic
360C24×C37C2411yescharacteristic
361C2×Q8×C37—22no—
362C2×Q8×C37—41no—
363C2×Q8×C37—41no—
364C2×Q8×C37—41no—
365C2×Q8×C37—41no—
366C2×Q8×C37—41no—
367C2×D4×C37—22no—
368C2×D4×C37—22no—
369C2×D4×C37—22no—
370C2×D4×C37—22no—
371C2×D4×C37—22no—
372C2×D4×C37—22no—
373C2×D4×C37—22no—
374C2×D4×C37—22no—
375C2×D4×C37—22no—
376C2×D4×C37—22no—
377C2×D4×C37—22no—
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—
385C22×C4×C37—22no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—22no—
389C22×C4×C37—22no—
390C22×C4×C37—22no—
391C22×C4×C37—22no—
392C22×C4×C37—22no—
393C22×C4×C37—41no—
394C22×C4×C37—41no—
395C22×C4×C37—41no—
396C22×C4×C37—41no—
397C22×C4×C37—41no—
398C22×C4×C37—41no—
399C22×C4×C37—41no—
400C22×C4×C37—41no—
401C22×C4×C37—41no—
402C22×C4×C37—41no—
403C22×C4×C37—41no—
404C22×C4×C37—41no—
405C22×C4×C37—41no—
406C22×C4×C37—41no—
407C22×C4×C37—41no—
408C22×C4×C37—41no—
409C22×C4×C37—41no—
410C22×C4×C37—41no—
411C22×C4×C37—41no—
412C22×C4×C37—41no—
413C22×C4×C37—41no—
414C22×C4×C37#4114yes—
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C22×C4×C37C2411yescharacteristic
441C22×C4×C37C2411yescharacteristic
442C4⋊C4×C37—22no—
443C4⋊C4×C37—22no—
444C4⋊C4×C37—22no—
445C4⋊C4×C37—22no—
446C4⋊C4×C37—22no—
447C4⋊C4×C37—22no—
448C4⋊C4×C37—22no—
449C4⋊C4×C37—22no—
450C4⋊C4×C37—22no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37—41no—
463C4⋊C4×C37—41no—
464C4⋊C4×C37—41no—
465C4⋊C4×C37—41no—
466C4⋊C4×C37—41no—
467C4⋊C4×C37—41no—
468C4⋊C4×C37—41no—
469C4⋊C4×C37—41no—
470C4⋊C4×C37—41no—
471C4⋊C4×C37—41no—
472C4⋊C4×C37—41no—
473C4⋊C4×C37—41no—
474C4⋊C4×C37—41no—
475C4⋊C4×C37—41no—
476C22⋊C4×C37—22no—
477C22⋊C4×C37—22no—
478C22⋊C4×C37—22no—
479C22⋊C4×C37—22no—
480C22⋊C4×C37—22no—
481C22⋊C4×C37—22no—
482C22⋊C4×C37—22no—
483C22⋊C4×C37—22no—
484C22⋊C4×C37—22no—
485C22⋊C4×C37—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—
514C42×C37—22no—
515C42×C37—22no—
516C42×C37—22no—
517C42×C37—41no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
523C23×C37—21no—
524C23×C37—21no—
525C23×C37—21no—
526C23×C37—21no—
527C23×C37—21no—
528C23×C37—21no—
529C23×C37—21no—
530C23×C37—21no—
531C23×C37—21no—
532C23×C37—21no—
533C23×C37—21no—
534C23×C37—21no—
535C23×C37—21no—
536C23×C37—21no—
537C23×C37—21no—
538C23×C37—21no—
539C23×C37—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×C37C2×#4112yes—
549C23×C37H(5,𝔽2)12yes—
550C23×C372−1+412yes—
551C23×C37C2511yescharacteristic
552Q8×C37—82no—
553Q8×C37—82no—
554D4×C37—44no—
555D4×C37—44no—
556D4×C37—44no—
557D4×C37—82no—
558D4×C37—82no—
559D4×C37—82no—
560C2×C4×C37—21no—
561C2×C4×C37—21no—
562C2×C4×C37—21no—
563C2×C4×C37—21no—
564C2×C4×C37—21no—
565C2×C4×C37—21no—
566C2×C4×C37—21no—
567C2×C4×C37—21no—
568C2×C4×C37—21no—
569C2×C4×C37—21no—
570C2×C4×C37—21no—
571C2×C4×C37—21no—
572C2×C4×C37—21no—
573C2×C4×C37—21no—
574C2×C4×C37—21no—
575C2×C4×C37—21no—
576C2×C4×C37—21no—
577C2×C4×C37—21no—
578C2×C4×C37—21no—
579C2×C4×C37—21no—
580C2×C4×C37—21no—
581C2×C4×C37—21no—
582C2×C4×C37—21no—
583C2×C4×C37—21no—
584C2×C4×C37—21no—
585C2×C4×C37—21no—
586C2×C4×C37—21no—
587C2×C4×C37—21no—
588C2×C4×C37—21no—
589C2×C4×C37—21no—
590C2×C4×C37—21no—
591C2×C4×C37—21no—
592C2×C4×C37—21no—
593C2×C4×C37—21no—
594C2×C4×C37—21no—
595C2×C4×C37—21no—
596C2×C4×C37—21no—
597C2×C4×C37—21no—
598C2×C4×C37—21no—
599C2×C4×C37—21no—
600C2×C4×C37—21no—
601C2×C4×C37—21no—
602C2×C4×C37—21no—
603C2×C4×C37—21no—
604C2×C4×C37—21no—
605C2×C4×C37—21no—
606C2×C4×C37—21no—
607C2×C4×C37—21no—
608C2×C4×C37—21no—
609C2×C4×C37—21no—
610C2×C4×C37—21no—
611C2×C4×C37—21no—
612C2×C4×C37—21no—
613C2×C4×C37—21no—
614C2×C4×C37—21no—
615C2×C4×C37—21no—
616C2×C4×C37—21no—
617C2×C4×C37—21no—
618C2×C4×C37—21no—
619C2×C4×C37—21no—
620C2×C4×C37—21no—
621C2×C4×C37—21no—
622C2×C4×C37—21no—
623C2×C4×C37—21no—
624C2×C4×C37—21no—
625C2×C4×C37—21no—
626C2×C4×C37—21no—
627C2×C4×C37—21no—
628C2×C4×C37—21no—
629C2×C4×C37—21no—
630C2×C4×C37—21no—
631C2×C4×C37—21no—
632C2×C4×C37—21no—
633C2×C4×C37—21no—
634C2×C4×C37—21no—
635C2×C4×C37—21no—
636C2×C4×C37—21no—
637C2×C4×C37—21no—
638C2×C4×C37—44no—
639C2×C4×C37—44no—
640C2×C4×C37—44no—
641C2×C4×C37—44no—
642C2×C4×C37—44no—
643C2×C4×C37—82no—
644C2×C4×C37—82no—
645C2×C4×C37—82no—
646C2×C4×C37—82no—
647C2×C4×C37—82no—
648C2×C4×C37C2×#4112yes—
649C2×C4×C37C2×#4112yes—
650C2×C4×C37H(5,𝔽2)12yes—
651#36781C3711yesmaximal, characteristic, direct product factor, Sylow
652C22×C37—22no—
653C22×C37—22no—
654C22×C37—22no—
655C22×C37—22no—
656C22×C37—22no—
657C22×C37—22no—
658C22×C37—41no—
659C22×C37—41no—
660C22×C37—41no—
661C22×C37—41no—
662C22×C37—41no—
663C22×C37—41no—
664C22×C37—41no—
665C22×C37—41no—
666C22×C37—41no—
667C22×C37—41no—
668C22×C37—41no—
669C22×C37—41no—
670C22×C37—41no—
671C22×C37—41no—
672C22×C37—41no—
673C22×C37—41no—
674C22×C37—41no—
675C22×C37—41no—
676C22×C37—41no—
677C22×C37—41no—
678C22×C37—41no—
679C22×C37#54214yes—
680C22×C37C22×#4111yescharacteristic
681C22×C37C2×H(5,𝔽2)11yescharacteristic
682C22×C37C2×H(5,𝔽2)11yescharacteristic
683C22×C37C2×2−1+411yescharacteristic
684C22×C37#58511yescharacteristic
685C22×C37#58511yescharacteristic
686C22×C37#58511yescharacteristic
687C4×C37—22no—
688C4×C37—22no—
689C4×C37—22no—
690C4×C37—41no—
691C4×C37—41no—
692C4×C37—41no—
693C4×C37—41no—
694C4×C37—41no—
695C4×C37—41no—
696C4×C37—41no—
697C4×C37—41no—
698C4×C37—41no—
699C4×C37—41no—
700C4×C37—41no—
701C4×C37—41no—
702C4×C37—41no—
703C4×C37—41no—
704C4×C37—41no—
705C4×C37—41no—
706C4×C37—41no—
707C4×C37—41no—
708C4×C37—41no—
709C4×C37—41no—
710C4×C37—41no—
711C4×C37—41no—
712C4×C37—41no—
713C4×C37—41no—
714#2852C2×C3711yescharacteristic, complemented
715#2850C2×C3711yescharacteristic, complemented
716#2795C2×C3711yescharacteristic, complemented
717#2793C2×C3711yescharacteristic, complemented
718#2779C2×C3711yescharacteristic, complemented
719#2767C2×C3711yescharacteristic, complemented
720#2765C2×C3711yescharacteristic, complemented
721#2761C2×C3711yescharacteristic, complemented
722#2758C2×C3711yescharacteristic, complemented
723#2757C2×C3711yescharacteristic, complemented
724#2747C2×C3711yescharacteristic, complemented
725#2745C2×C3711yescharacteristic, complemented
726#2739C2×C3711yescharacteristic, complemented
727#2737C2×C3711yescharacteristic, complemented
728#2731C2×C3711yescharacteristic, complemented
729#2716C2×C3711yescharacteristic, complemented
730#2691C2×C3711yescharacteristic, complemented
731#2686C2×C3711yescharacteristic, complemented
732#2643C2×C3711yescharacteristic, complemented
733#2639C2×C3711yescharacteristic, complemented
734#2591C2×C3711yescharacteristic, complemented
735#2579C2×C3711yescharacteristic, complemented
736#2450C2×C3711yescharacteristic, complemented
737#2450C2×C3711yescharacteristic, complemented
738#2444C2×C3711yescharacteristic, complemented
739#2444C2×C3711yescharacteristic, complemented
740#2440C2×C3711yescharacteristic, complemented
741#2416C2×C3711yescharacteristic
742#2325C2×C3711yescharacteristic, complemented
743#2318C2×C3711yescharacteristic, complemented
744C2×#387C2×C3711yescharacteristic, complemented
745C2×C37—24no—
746C2×C37—81no—
747C2×C37—81no—
748C2×C37—81no—
749C2×C37C2×#54211yescharacteristic
750C2×C37#349311yescharacteristic
751C2×C37#350511yescharacteristic
752C2×C37#353411yescharacteristic
753C2×C37#354111yescharacteristic
754C2×C37#355311yescharacteristic
755C2×C37#356011yescharacteristic
756C2×C4⋊Q8C22×C3711yescharacteristic
757C2×#126C22×C3711yescharacteristic
758C2×#124C22×C3711yescharacteristic
759C2×C22⋊Q8C22×C3711yescharacteristic
760C2×C22⋊Q8C22×C3711yescharacteristic
761C2×#121C22×C3711yescharacteristic
762C2×#121C22×C3711yescharacteristic
763C2×#121C22×C3711yescharacteristic
764C2×#121C22×C3711yescharacteristic
765C2×C4×D4C22×C3711yescharacteristic
766C2×C4×D4C22×C3711yescharacteristic
767C2×C4×D4C22×C3711yescharacteristic
768C22×C4⋊C4C22×C3711yescharacteristic
769C22×C4⋊C4C22×C3711yescharacteristic
770C22×C42C22×C3711yescharacteristic
771#401C22×C3711yescharacteristic
772#400C22×C3711yescharacteristic
773#400C22×C3711yescharacteristic
774#400C22×C3711yescharacteristic
775#400C22×C3711yescharacteristic
776#400C22×C3711yescharacteristic
777#400C22×C3711yescharacteristic
778#400C22×C3711yescharacteristic
779#400C22×C3711yescharacteristic
780#400C22×C3711yescharacteristic
781#400C22×C3711yescharacteristic
782#400C22×C3711yescharacteristic
783#398C22×C3711yescharacteristic
784#398C22×C3711yescharacteristic
785#398C22×C3711yescharacteristic
786#398C22×C3711yescharacteristic
787#398C22×C3711yescharacteristic
788#398C22×C3711yescharacteristic
789#397C22×C3711yescharacteristic
790#397C22×C3711yescharacteristic
791#397C22×C3711yescharacteristic
792#397C22×C3711yescharacteristic
793#397C22×C3711yescharacteristic
794#397C22×C3711yescharacteristic
795#397C22×C3711yescharacteristic
796#397C22×C3711yescharacteristic
797#397C22×C3711yescharacteristic
798#396C22×C3711yescharacteristic
799#396C22×C3711yescharacteristic
800#396C22×C3711yescharacteristic
801#396C22×C3711yescharacteristic
802#396C22×C3711yescharacteristic
803#396C22×C3711yescharacteristic
804#396C22×C3711yescharacteristic
805#395C22×C3711yescharacteristic
806#395C22×C3711yescharacteristic
807#394C22×C3711yescharacteristic
808#394C22×C3711yescharacteristic
809#394C22×C3711yescharacteristic
810#394C22×C3711yescharacteristic
811#394C22×C3711yescharacteristic
812#394C22×C3711yescharacteristic
813#394C22×C3711yescharacteristic
814#394C22×C3711yescharacteristic
815#393C22×C3711yescharacteristic
816#393C22×C3711yescharacteristic
817#393C22×C3711yescharacteristic
818#393C22×C3711yescharacteristic
819#391C22×C3711yescharacteristic
820#391C22×C3711yescharacteristic
821#391C22×C3711yescharacteristic
822#390C22×C3711yescharacteristic
823#390C22×C3711yescharacteristic
824#389C22×C3711yescharacteristic
825#389C22×C3711yescharacteristic
826#389C22×C3711yescharacteristic
827#388C22×C3711yescharacteristic
828#388C22×C3711yescharacteristic
829#388C22×C3711yescharacteristic
830#388C22×C3711yescharacteristic
831#388C22×C3711yescharacteristic
832#388C22×C3711yescharacteristic
833#388C22×C3711yescharacteristic
834#388C22×C3711yescharacteristic
835#388C22×C3711yescharacteristic
836#388C22×C3711yescharacteristic
837#388C22×C3711yescharacteristic
838#388C22×C3711yescharacteristic
839#388C22×C3711yescharacteristic
840#388C22×C3711yescharacteristic
841#388C22×C3711yescharacteristic
842#388C22×C3711yescharacteristic
843#388C22×C3711yescharacteristic
844#387C22×C3711yescharacteristic
845#387C22×C3711yescharacteristic
846#387C22×C3711yescharacteristic
847#387C22×C3711yescharacteristic
848#387C22×C3711yescharacteristic
849#387C22×C3711yescharacteristic
850#387C22×C3711yescharacteristic
851#387C22×C3711yescharacteristic
852#387C22×C3711yescharacteristic
853#387C22×C3711yescharacteristic
854#387C22×C3711yescharacteristic
855#387C22×C3711yescharacteristic
856#387C22×C3711yescharacteristic
857#387C22×C3711yescharacteristic
858#387C22×C3711yescharacteristic
859#387C22×C3711yescharacteristic
860#387C22×C3711yescharacteristic
861#387C22×C3711yescharacteristic
862#387C22×C3711yescharacteristic
863#387C22×C3711yescharacteristic
864#387C22×C3711yescharacteristic
865#386C22×C3711yescharacteristic
866#386C22×C3711yescharacteristic
867#386C22×C3711yescharacteristic
868#386C22×C3711yescharacteristic
869#386C22×C3711yescharacteristic
870#386C22×C3711yescharacteristic
871#386C22×C3711yescharacteristic
872#386C22×C3711yescharacteristic
873#386C22×C3711yescharacteristic
874#386C22×C3711yescharacteristic
875#386C22×C3711yescharacteristic
876#386C22×C3711yescharacteristic
877#386C22×C3711yescharacteristic
878#386C22×C3711yescharacteristic
879#386C22×C3711yescharacteristic
880#386C22×C3711yescharacteristic
881#385C22×C3711yescharacteristic
882#385C22×C3711yescharacteristic
883#385C22×C3711yescharacteristic
884#385C22×C3711yescharacteristic
885#385C22×C3711yescharacteristic
886#385C22×C3711yescharacteristic
887#385C22×C3711yescharacteristic
888#385C22×C3711yescharacteristic
889#385C22×C3711yescharacteristic
890#385C22×C3711yescharacteristic
891#385C22×C3711yescharacteristic
892#385C22×C3711yescharacteristic
893#384C22×C3711yescharacteristic
894#383C22×C3711yescharacteristic
895#383C22×C3711yescharacteristic
896#382C22×C3711yescharacteristic
897#382C22×C3711yescharacteristic
898#381C22×C3711yescharacteristic
899#381C22×C3711yescharacteristic
900#381C22×C3711yescharacteristic
901#380C22×C3711yescharacteristic
902#380C22×C3711yescharacteristic
903#380C22×C3711yescharacteristic
904#380C22×C3711yescharacteristic
905#380C22×C3711yescharacteristic
906C4×C22⋊C4C22×C3711yescharacteristic
907C2×#95C22×C3711yescharacteristic
908C2×#95C22×C3711yescharacteristic
909C2×#95C22×C3711yescharacteristic
910C2×#95C22×C3711yescharacteristic
911C37#3678111yescharacteristic, direct product factor, Sylow
912C22×Q8C23×C3711yescharacteristic
913C22×Q8C23×C3711yescharacteristic
914C22×D4C23×C3711yescharacteristic
915C22×D4C23×C3711yescharacteristic
916C22×D4C23×C3711yescharacteristic
917C22×D4C23×C3711yescharacteristic
918C22×D4C23×C3711yescharacteristic
919C22×D4C23×C3711yescharacteristic
920C23×C4C23×C3711yescharacteristic
921C23×C4C23×C3711yescharacteristic
922C23×C4C23×C3711yescharacteristic
923C23×C4C23×C3711yescharacteristic
924C23×C4C23×C3711yescharacteristic
925C23×C4C23×C3711yescharacteristic
926C23×C4C23×C3711yescharacteristic
927C23×C4C23×C3711yescharacteristic
928C23×C4C23×C3711yescharacteristic
929C23×C4C23×C3711yescharacteristic
930C4⋊Q8—42no—
931#126—42no—
932#124—42no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935#121—24no—
936#121—42no—
937#121—42no—
938#121—42no—
939C4×D4—24no—
940C4×D4—42no—
941C4×D4—42no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—42no—
944C2×C4⋊C4C23×C3711yescharacteristic
945C2×C4⋊C4C23×C3711yescharacteristic
946C2×C4⋊C4C23×C3711yescharacteristic
947C2×C4⋊C4C23×C3711yescharacteristic
948C2×C4⋊C4C23×C3711yescharacteristic
949C2×C4⋊C4C23×C3711yescharacteristic
950C2×C4⋊C4C23×C3711yescharacteristic
951C2×C4⋊C4C23×C3711yescharacteristic
952C2×C4⋊C4C23×C3711yescharacteristic
953C2×C4⋊C4C23×C3711yescharacteristic
954C2×C4⋊C4C23×C3711yescharacteristic
955C2×C4⋊C4C23×C3711yescharacteristic
956C2×C4⋊C4C23×C3711yescharacteristic
957C2×C4⋊C4C23×C3711yescharacteristic
958C2×C4⋊C4C23×C3711yescharacteristic
959C2×C4⋊C4C23×C3711yescharacteristic
960C2×C4⋊C4C23×C3711yescharacteristic
961C2×C4⋊C4C23×C3711yescharacteristic
962C2×C4⋊C4C23×C3711yescharacteristic
963C2×C4⋊C4C23×C3711yescharacteristic
964C2×C4⋊C4C23×C3711yescharacteristic
965C2×C4⋊C4C23×C3711yescharacteristic
966C2×C4⋊C4C23×C3711yescharacteristic
967C2×C4⋊C4C23×C3711yescharacteristic
968C2×C4⋊C4C23×C3711yescharacteristic
969C2×C4⋊C4C23×C3711yescharacteristic
970C2×C4⋊C4C23×C3711yescharacteristic
971C2×C4⋊C4C23×C3711yescharacteristic
972C2×C4⋊C4C23×C3711yescharacteristic
973C2×C4⋊C4C23×C3711yescharacteristic
974C2×C4⋊C4C23×C3711yescharacteristic
975C2×C4⋊C4C23×C3711yescharacteristic
976C2×C4⋊C4C23×C3711yescharacteristic
977C2×C4⋊C4C23×C3711yescharacteristic
978C2×C22⋊C4C23×C3711yescharacteristic
979C2×C22⋊C4C23×C3711yescharacteristic
980C2×C22⋊C4C23×C3711yescharacteristic
981C2×C22⋊C4C23×C3711yescharacteristic
982C2×C22⋊C4C23×C3711yescharacteristic
983C2×C22⋊C4C23×C3711yescharacteristic
984C2×C22⋊C4C23×C3711yescharacteristic
985C2×C22⋊C4C23×C3711yescharacteristic
986C2×C22⋊C4C23×C3711yescharacteristic
987C2×C22⋊C4C23×C3711yescharacteristic
988C2×C22⋊C4C23×C3711yescharacteristic
989C2×C22⋊C4C23×C3711yescharacteristic
990C2×C22⋊C4C23×C3711yescharacteristic
991C2×C22⋊C4C23×C3711yescharacteristic
992C2×C22⋊C4C23×C3711yescharacteristic
993C2×C22⋊C4C23×C3711yescharacteristic
994C2×C22⋊C4C23×C3711yescharacteristic
995C2×C22⋊C4C23×C3711yescharacteristic
996C2×C22⋊C4C23×C3711yescharacteristic
997C2×C22⋊C4C23×C3711yescharacteristic
998C2×C22⋊C4C23×C3711yescharacteristic
999C2×C22⋊C4C23×C3711yescharacteristic
1000C2×C22⋊C4C23×C3711yescharacteristic
1001C2×C22⋊C4C23×C3711yescharacteristic
1002C2×C22⋊C4C23×C3711yescharacteristic
1003C2×C22⋊C4C23×C3711yescharacteristic
1004C2×C22⋊C4C23×C3711yescharacteristic
1005C2×C22⋊C4C23×C3711yescharacteristic
1006C2×C22⋊C4C23×C3711yescharacteristic
1007C2×C22⋊C4C23×C3711yescharacteristic
1008C2×C22⋊C4C23×C3711yescharacteristic
1009C2×C22⋊C4C23×C3711yescharacteristic
1010C2×C22⋊C4C23×C3711yescharacteristic
1011C2×C22⋊C4C23×C3711yescharacteristic
1012C2×C22⋊C4C23×C3711yescharacteristic
1013C2×C22⋊C4C23×C3711yescharacteristic
1014C2×C22⋊C4C23×C3711yescharacteristic
1015C2×C22⋊C4C23×C3711yescharacteristic
1016C2×C42—42no—
1017C2×C42C23×C3711yescharacteristic
1018C2×C42C23×C3711yescharacteristic
1019C2×C42C23×C3711yescharacteristic
1020C2×C42C23×C3711yescharacteristic
1021C2×C42C23×C3711yescharacteristic
1022C2×C42C23×C3711yescharacteristic
1023C2×C42C23×C3711yescharacteristic
1024C2×C42C23×C3711yescharacteristic
1025C2×C42C23×C3711yescharacteristic
1026#95C23×C3711yescharacteristic
1027#95C23×C3711yescharacteristic
1028#95C23×C3711yescharacteristic
1029#95C23×C3711yescharacteristic
1030#95C23×C3711yescharacteristic
1031#95C23×C3711yescharacteristic
1032#95C23×C3711yescharacteristic
1033#95C23×C3711yescharacteristic
1034#95C23×C3711yescharacteristic
1035#95C23×C3711yescharacteristic
1036#95C23×C3711yescharacteristic
1037#95C23×C3711yescharacteristic
1038#95C23×C3711yescharacteristic
1039#95C23×C3711yescharacteristic
1040#95C23×C3711yescharacteristic
1041#95C23×C3711yescharacteristic
1042#95C23×C3711yescharacteristic
1043#95C23×C3711yescharacteristic
1044#95C23×C3711yescharacteristic
1045#95C23×C3711yescharacteristic
1046#95C23×C3711yescharacteristic
1047#95C23×C3711yescharacteristic
1048#95C23×C3711yescharacteristic
1049#95C23×C3711yescharacteristic
1050#95C23×C3711yescharacteristic
1051#95C23×C3711yescharacteristic
1052#95C23×C3711yescharacteristic
1053#95C23×C3711yescharacteristic
1054#95C23×C3711yescharacteristic
1055#95C23×C3711yescharacteristic
1056#95C23×C3711yescharacteristic
1057#95C23×C3711yescharacteristic
1058#95C23×C3711yescharacteristic
1059#95C23×C3711yescharacteristic
1060#95C23×C3711yescharacteristic
1061#95C23×C3711yescharacteristic
1062#95C23×C3711yescharacteristic
1063#95C23×C3711yescharacteristic
1064#95C23×C3711yescharacteristic
1065#95C23×C3711yescharacteristic
1066#95C23×C3711yescharacteristic
1067#95C23×C3711yescharacteristic
1068#95C23×C3711yescharacteristic
1069#95C23×C3711yescharacteristic
1070#95C23×C3711yescharacteristic
1071#95C23×C3711yescharacteristic
1072#95C23×C3711yescharacteristic
1073#95C23×C3711yescharacteristic
1074#95C23×C3711yescharacteristic
1075#95C23×C3711yescharacteristic
1076#95C23×C3711yescharacteristic
1077#95C23×C3711yescharacteristic
1078#95C23×C3711yescharacteristic
1079#95C23×C3711yescharacteristic
1080#95C23×C3711yescharacteristic
1081#95C23×C3711yescharacteristic
1082C24C24×C3711yescharacteristic
1083C24C24×C3711yescharacteristic
1084C24C24×C3711yescharacteristic
1085C24C24×C3711yescharacteristic
1086C2×Q8—22no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8—41no—
1090C2×Q8—41no—
1091C2×Q8—41no—
1092C2×D4—22no—
1093C2×D4—22no—
1094C2×D4—22no—
1095C2×D4—22no—
1096C2×D4—22no—
1097C2×D4—22no—
1098C2×D4—22no—
1099C2×D4—22no—
1100C2×D4—22no—
1101C2×D4—22no—
1102C2×D4—22no—
1103C2×D4—41no—
1104C2×D4—41no—
1105C2×D4—41no—
1106C2×D4—41no—
1107C2×D4—41no—
1108C2×D4—41no—
1109C2×D4—41no—
1110C22×C4—22no—
1111C22×C4—22no—
1112C22×C4—22no—
1113C22×C4—22no—
1114C22×C4—22no—
1115C22×C4—22no—
1116C22×C4—22no—
1117C22×C4—22no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4—41no—
1126C22×C4—41no—
1127C22×C4—41no—
1128C22×C4—41no—
1129C22×C4—41no—
1130C22×C4—41no—
1131C22×C4—41no—
1132C22×C4—41no—
1133C22×C4—41no—
1134C22×C4—41no—
1135C22×C4—41no—
1136C22×C4—41no—
1137C22×C4—41no—
1138C22×C4—41no—
1139C22×C4#41×C3714yes—
1140C22×C4C24×C3711yescharacteristic
1141C22×C4C24×C3711yescharacteristic
1142C22×C4C24×C3711yescharacteristic
1143C22×C4C24×C3711yescharacteristic
1144C22×C4C24×C3711yescharacteristic
1145C22×C4C24×C3711yescharacteristic
1146C22×C4C24×C3711yescharacteristic
1147C22×C4C24×C3711yescharacteristic
1148C22×C4C24×C3711yescharacteristic
1149C22×C4C24×C3711yescharacteristic
1150C22×C4C24×C3711yescharacteristic
1151C22×C4C24×C3711yescharacteristic
1152C22×C4C24×C3711yescharacteristic
1153C22×C4C24×C3711yescharacteristic
1154C22×C4C24×C3711yescharacteristic
1155C22×C4C24×C3711yescharacteristic
1156C22×C4C24×C3711yescharacteristic
1157C22×C4C24×C3711yescharacteristic
1158C22×C4C24×C3711yescharacteristic
1159C22×C4C24×C3711yescharacteristic
1160C22×C4C24×C3711yescharacteristic
1161C22×C4C24×C3711yescharacteristic
1162C22×C4C24×C3711yescharacteristic
1163C22×C4C24×C3711yescharacteristic
1164C22×C4C24×C3711yescharacteristic
1165C22×C4C24×C3711yescharacteristic
1166C22×C4C24×C3711yescharacteristic
1167C4⋊C4—22no—
1168C4⋊C4—22no—
1169C4⋊C4—22no—
1170C4⋊C4—22no—
1171C4⋊C4—22no—
1172C4⋊C4—22no—
1173C4⋊C4—22no—
1174C4⋊C4—22no—
1175C4⋊C4—22no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4—41no—
1179C4⋊C4—41no—
1180C4⋊C4—41no—
1181C4⋊C4—41no—
1182C4⋊C4—41no—
1183C4⋊C4—41no—
1184C4⋊C4—41no—
1185C4⋊C4—41no—
1186C4⋊C4—41no—
1187C4⋊C4—41no—
1188C4⋊C4—41no—
1189C4⋊C4—41no—
1190C4⋊C4—41no—
1191C4⋊C4—41no—
1192C4⋊C4—41no—
1193C4⋊C4—41no—
1194C4⋊C4—41no—
1195C4⋊C4—41no—
1196C4⋊C4—41no—
1197C4⋊C4—41no—
1198C4⋊C4—41no—
1199C4⋊C4—41no—
1200C4⋊C4—41no—
1201C22⋊C4—22no—
1202C22⋊C4—22no—
1203C22⋊C4—22no—
1204C22⋊C4—22no—
1205C22⋊C4—22no—
1206C22⋊C4—22no—
1207C22⋊C4—22no—
1208C22⋊C4—22no—
1209C22⋊C4—22no—
1210C22⋊C4—41no—
1211C22⋊C4—41no—
1212C22⋊C4—41no—
1213C22⋊C4—41no—
1214C22⋊C4—41no—
1215C22⋊C4—41no—
1216C22⋊C4—41no—
1217C22⋊C4—41no—
1218C22⋊C4—41no—
1219C22⋊C4—41no—
1220C22⋊C4—41no—
1221C22⋊C4—41no—
1222C22⋊C4—41no—
1223C22⋊C4—41no—
1224C22⋊C4—41no—
1225C22⋊C4—41no—
1226C22⋊C4—41no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—41no—
1234C22⋊C4—41no—
1235C22⋊C4—41no—
1236C22⋊C4—41no—
1237C22⋊C4—41no—
1238C22⋊C4—41no—
1239C42—22no—
1240C42—22no—
1241C42—22no—
1242C42—41no—
1243C42—41no—
1244C42—41no—
1245C42—41no—
1246C42—41no—
1247C42—41no—
1248C23—21no—
1249C23—21no—
1250C23—21no—
1251C23—21no—
1252C23—21no—
1253C23—21no—
1254C23—21no—
1255C23—21no—
1256C23—21no—
1257C23—21no—
1258C23—21no—
1259C23—21no—
1260C23—21no—
1261C23—21no—
1262C23—21no—
1263C23—21no—
1264C23—21no—
1265C23—21no—
1266C23—21no—
1267C23—21no—
1268C23—21no—
1269C23—21no—
1270C23—21no—
1271C23—21no—
1272C23—21no—
1273C23C2×#41×C3712yes—
1274C23H(5,𝔽2)×C3712yes—
1275C232−1+4×C3712yes—
1276C23C25×C3711yescharacteristic
1277Q8—82no—
1278Q8—82no—
1279D4—44no—
1280D4—44no—
1281D4—44no—
1282D4—82no—
1283D4—82no—
1284D4—82no—
1285C2×C4—21no—
1286C2×C4—21no—
1287C2×C4—21no—
1288C2×C4—21no—
1289C2×C4—21no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—21no—
1294C2×C4—21no—
1295C2×C4—21no—
1296C2×C4—21no—
1297C2×C4—21no—
1298C2×C4—21no—
1299C2×C4—21no—
1300C2×C4—21no—
1301C2×C4—21no—
1302C2×C4—21no—
1303C2×C4—21no—
1304C2×C4—21no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—21no—
1308C2×C4—21no—
1309C2×C4—21no—
1310C2×C4—21no—
1311C2×C4—21no—
1312C2×C4—21no—
1313C2×C4—21no—
1314C2×C4—21no—
1315C2×C4—21no—
1316C2×C4—21no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—21no—
1323C2×C4—21no—
1324C2×C4—21no—
1325C2×C4—21no—
1326C2×C4—21no—
1327C2×C4—21no—
1328C2×C4—21no—
1329C2×C4—21no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—44no—
1364C2×C4—44no—
1365C2×C4—44no—
1366C2×C4—44no—
1367C2×C4—44no—
1368C2×C4—82no—
1369C2×C4—82no—
1370C2×C4—82no—
1371C2×C4—82no—
1372C2×C4—82no—
1373C2×C4C2×#41×C3712yes—
1374C2×C4C2×#41×C3712yes—
1375C2×C4H(5,𝔽2)×C3712yes—
1376C22—22no—
1377C22—22no—
1378C22—22no—
1379C22—22no—
1380C22—22no—
1381C22—22no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22—41no—
1387C22—41no—
1388C22—41no—
1389C22—41no—
1390C22—41no—
1391C22—41no—
1392C22—41no—
1393C22—41no—
1394C22—41no—
1395C22—41no—
1396C22—41no—
1397C22—41no—
1398C22—41no—
1399C22—41no—
1400C22—41no—
1401C22—41no—
1402C22—41no—
1403C22C37×#54214yes—
1404C22C22×#41×C3711yescharacteristic
1405C22C2×H(5,𝔽2)×C3711yescharacteristic
1406C22C2×H(5,𝔽2)×C3711yescharacteristic
1407C22C2×2−1+4×C3711yescharacteristic
1408C22C37×#58511yescharacteristic
1409C22C37×#58511yescharacteristic
1410C22C37×#58511yescharacteristic
1411C4—22no—
1412C4—22no—
1413C4—22no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C4—41no—
1422C4—41no—
1423C4—41no—
1424C4—41no—
1425C4—41no—
1426C4—41no—
1427C4—41no—
1428C4—41no—
1429C4—41no—
1430C4—41no—
1431C4—41no—
1432C4—41no—
1433C4—41no—
1434C4—41no—
1435C4—41no—
1436C4—41no—
1437C4—41no—
1438C2—24no—
1439C2—81no—
1440C2—81no—
1441C2—81no—
1442C2C2×C37×#54211yescharacteristic
1443C2C37×#349311yescharacteristic
1444C2C37×#350511yescharacteristic
1445C2C37×#353411yescharacteristic
1446C2C37×#354111yescharacteristic
1447C2C37×#355311yescharacteristic
1448C2C37×#356011yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutator, Frattini, cosocleC23C25×C37
prime radicalC37×#2416C2
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×#2795C2semidirect
4. C37×#2793C2semidirect
5. C37×#2779C2semidirect
6. C37×#2767C2semidirect
7. C37×#2765C2semidirect
8. C37×#2761C2semidirect
9. C37×#2758C2semidirect
10. C37×#2757C2semidirect
11. C37×#2747C2semidirect
12. C37×#2745C2semidirect
13. C37×#2739C2semidirect
14. C37×#2737C2semidirect
15. C37×#2731C2semidirect
16. C37×#2716C2semidirect
17. C37×#2691C2semidirect
18. C37×#2686C2semidirect
19. C37×#2643C2semidirect
20. C37×#2639C2semidirect
21. C37×#2591C2semidirect
22. C37×#2579C2semidirect
23. C37×#2450C2semidirect
24. C37×#2450C2semidirect
25. C37×#2444C2semidirect
26. C37×#2444C2semidirect
27. C37×#2440C2semidirect
29. C37×#2325C2semidirect
30. C37×#2318C2semidirect
31. C2×C37×#387C2semidirect
651. #36781C37direct (N × H)
714. #2852C2×C37semidirect
715. #2850C2×C37semidirect
716. #2795C2×C37semidirect
717. #2793C2×C37semidirect
718. #2779C2×C37semidirect
719. #2767C2×C37semidirect
720. #2765C2×C37semidirect
721. #2761C2×C37semidirect
722. #2758C2×C37semidirect
723. #2757C2×C37semidirect
724. #2747C2×C37semidirect
725. #2745C2×C37semidirect
726. #2739C2×C37semidirect
727. #2737C2×C37semidirect
728. #2731C2×C37semidirect
729. #2716C2×C37semidirect
730. #2691C2×C37semidirect
731. #2686C2×C37semidirect
732. #2643C2×C37semidirect
733. #2639C2×C37semidirect
734. #2591C2×C37semidirect
735. #2579C2×C37semidirect
736. #2450C2×C37semidirect
737. #2450C2×C37semidirect
738. #2444C2×C37semidirect
739. #2444C2×C37semidirect
740. #2440C2×C37semidirect
742. #2325C2×C37semidirect
743. #2318C2×C37semidirect
744. C2×#387C2×C37semidirect
911. C37#36781direct (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×#27952
C37×#27932
C37×#27792
C37×#27672
C37×#27652
C37×#27612
C37×#27582
C37×#27572
C37×#27472
C37×#27452
C37×#27392
C37×#27372
C37×#27312
C37×#27162
C37×#26912
C37×#26862
C37×#26432
C37×#26392
C37×#25912
C37×#25792
C37×#24502
C37×#24442
C37×#24402
C37×#24162
C37×#23252
C37×#23182
C2×C37×#3872
#3678137