Finite Group Databasebeta

← C37×#36745 #22657998

Subgroups — C37×#36745 #22657998

Order 9472.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#542C211yesmaximal, characteristic, complemented
2C2×C37×#538C211yesmaximal, characteristic, complemented
3C37×#2854C211yesmaximal, characteristic, complemented
4C37×#2850C211yesmaximal, characteristic, complemented
5C37×#2723C211yesmaximal, characteristic, complemented
6C37×#2716C211yesmaximal, characteristic, complemented
7C37×#2715C211yesmaximal, characteristic, complemented
8C37×#2712C211yesmaximal, characteristic, complemented
9C37×#2700C211yesmaximal, characteristic, complemented
10C37×#2698C211yesmaximal, characteristic, complemented
11C37×#2696C211yesmaximal, characteristic, complemented
12C37×#2691C211yesmaximal, characteristic, complemented
13C37×#2688C211yesmaximal, characteristic, complemented
14C37×#2686C211yesmaximal, characteristic, complemented
15C37×#2685C211yesmaximal, characteristic, complemented
16C37×#2684C211yesmaximal, characteristic, complemented
17C37×#2676C211yesmaximal, characteristic, complemented
18C37×#2674C211yesmaximal, characteristic, complemented
19C37×#2670C211yesmaximal, characteristic, complemented
20C37×#2668C211yesmaximal, characteristic, complemented
21C37×#2663C211yesmaximal, characteristic, complemented
22C37×#2661C211yesmaximal, characteristic, complemented
23C37×#2610C211yesmaximal, characteristic, complemented
24C37×#2604C211yesmaximal, characteristic, complemented
25C37×#2602C211yesmaximal, characteristic, complemented
26C37×#2601C211yesmaximal, characteristic, complemented
27C37×#2592C211yesmaximal, characteristic, complemented
28C37×#2561C211yesmaximal, characteristic, complemented
29C37×#2415C211yesmaximal, characteristic, complemented
30C37×#2411C211yesmaximal, characteristic, complemented
31C37×#2290C211yesmaximal, characteristic, complemented
32C37×#542—28no—
33C37×#538—28no—
34C2×C4⋊Q8×C37C2211yescharacteristic, complemented
35C2×#126×C37C2211yescharacteristic
36C2×#126×C37C2211yescharacteristic
37C2×#126×C37C2211yescharacteristic
38C2×#126×C37C2211yescharacteristic, complemented
39C2×#124×C37C2211yescharacteristic
40C2×#124×C37C2211yescharacteristic
41C2×#124×C37C2211yescharacteristic
42C2×#124×C37C2211yescharacteristic
43C2×#124×C37C2211yescharacteristic
44C2×#124×C37C2211yescharacteristic, complemented
45C2×#123×C37C2211yescharacteristic
46C2×#123×C37C2211yescharacteristic
47C2×#123×C37C2211yescharacteristic
48C2×#123×C37C2211yescharacteristic, complemented
49C2×C22⋊Q8×C37C2211yescharacteristic
50C2×C22⋊Q8×C37C2211yescharacteristic
51C2×C22⋊Q8×C37C2211yescharacteristic, complemented
52C2×C22⋊Q8×C37C2211yescharacteristic, complemented
53C2×C22⋊Q8×C37C2211yescharacteristic, complemented
54C2×#121×C37C2211yescharacteristic
55C2×#121×C37C2211yescharacteristic
56C2×#121×C37C2211yescharacteristic
57C2×#121×C37C2211yescharacteristic
58C2×#121×C37C2211yescharacteristic
59C2×#120×C37C2211yescharacteristic
60C2×#120×C37C2211yescharacteristic
61C2×#120×C37C2211yescharacteristic
62C2×C4×Q8×C37C2211yescharacteristic, complemented
63C2×C4×D4×C37C2211yescharacteristic
64C2×C4×D4×C37C2211yescharacteristic
65C2×#117×C37C2211yescharacteristic
66C2×#117×C37C2211yescharacteristic, complemented
67C22×C22⋊C4×C37C2211yescharacteristic
68C22×C42×C37C2211yescharacteristic, complemented
69C37×#400C2211yescharacteristic, complemented
70C37×#400C2211yescharacteristic, complemented
71C37×#399C2211yescharacteristic
72C37×#399C2211yescharacteristic
73C37×#398C2211yescharacteristic, complemented
74C37×#398C2211yescharacteristic, complemented
75C37×#397C2211yescharacteristic
76C37×#397C2211yescharacteristic
77C37×#397C2211yescharacteristic
78C37×#397C2211yescharacteristic
79C37×#397C2211yescharacteristic
80C37×#397C2211yescharacteristic
81C37×#397C2211yescharacteristic, complemented
82C37×#397C2211yescharacteristic, complemented
83C37×#397C2211yescharacteristic, complemented
84C37×#397C2211yescharacteristic, complemented
85C37×#396C2211yescharacteristic
86C37×#396C2211yescharacteristic
87C37×#396C2211yescharacteristic
88C37×#396C2211yescharacteristic, complemented
89C37×#395C2211yescharacteristic, complemented
90C37×#395C2211yescharacteristic, complemented
91C37×#395C2211yescharacteristic, complemented
92C37×#394C2211yescharacteristic
93C37×#394C2211yescharacteristic
94C37×#394C2211yescharacteristic
95C37×#394C2211yescharacteristic
96C37×#394C2211yescharacteristic
97C37×#394C2211yescharacteristic
98C37×#394C2211yescharacteristic
99C37×#394C2211yescharacteristic
100C37×#394C2211yescharacteristic
101C37×#394C2211yescharacteristic
102C37×#394C2211yescharacteristic
103C37×#394C2211yescharacteristic
104C37×#394C2211yescharacteristic, complemented
105C37×#393C2211yescharacteristic
106C37×#393C2211yescharacteristic
107C37×#393C2211yescharacteristic
108C37×#393C2211yescharacteristic
109C37×#393C2211yescharacteristic
110C37×#393C2211yescharacteristic, complemented
111C37×#393C2211yescharacteristic, complemented
112C37×#392C2211yescharacteristic
113C37×#392C2211yescharacteristic
114C37×#392C2211yescharacteristic
115C37×#392C2211yescharacteristic
116C37×#392C2211yescharacteristic, complemented
117C37×#391C2211yescharacteristic, complemented
118C37×#391C2211yescharacteristic, complemented
119C37×#391C2211yescharacteristic, complemented
120C37×#391C2211yescharacteristic, complemented
121C37×#390C2211yescharacteristic
122C37×#390C2211yescharacteristic
123C37×#390C2211yescharacteristic
124C37×#390C2211yescharacteristic
125C37×#390C2211yescharacteristic
126C37×#390C2211yescharacteristic
127C37×#390C2211yescharacteristic, complemented
128C37×#389C2211yescharacteristic, complemented
129C37×#389C2211yescharacteristic, complemented
130C37×#389C2211yescharacteristic, complemented
131C37×#389C2211yescharacteristic, complemented
132C37×#389C2211yescharacteristic, complemented
133C37×#388C2211yescharacteristic
134C37×#388C2211yescharacteristic
135C37×#388C2211yescharacteristic
136C37×#388C2211yescharacteristic
137C37×#388C2211yescharacteristic
138C37×#388C2211yescharacteristic
139C37×#388C2211yescharacteristic
140C37×#388C2211yescharacteristic
141C37×#388C2211yescharacteristic
142C37×#388C2211yescharacteristic
143C37×#388C2211yescharacteristic
144C37×#388C2211yescharacteristic
145C37×#388C2211yescharacteristic
146C37×#388C2211yescharacteristic, complemented
147C37×#388C2211yescharacteristic, complemented
148C37×#388C2211yescharacteristic, complemented
149C37×#388C2211yescharacteristic, complemented
150C37×#388C2211yescharacteristic, complemented
151C37×#388C2211yescharacteristic, complemented
152C37×#388C2211yescharacteristic, complemented
153C37×#387C2211yescharacteristic, complemented
154C37×#387C2211yescharacteristic, complemented
155C37×#387C2211yescharacteristic, complemented
156C37×#387C2211yescharacteristic, complemented
157C37×#387C2211yescharacteristic, complemented
158C37×#387C2211yescharacteristic, complemented
159C37×#386C2211yescharacteristic
160C37×#386C2211yescharacteristic
161C37×#386C2211yescharacteristic
162C37×#386C2211yescharacteristic
163C37×#386C2211yescharacteristic
164C37×#386C2211yescharacteristic
165C37×#386C2211yescharacteristic
166C37×#386C2211yescharacteristic
167C37×#386C2211yescharacteristic, complemented
168C37×#386C2211yescharacteristic, complemented
169C37×#386C2211yescharacteristic, complemented
170C37×#386C2211yescharacteristic, complemented
171C37×#386C2211yescharacteristic, complemented
172C37×#385C2211yescharacteristic
173C37×#385C2211yescharacteristic, complemented
174C37×#385C2211yescharacteristic, complemented
175C37×#385C2211yescharacteristic, complemented
176C37×#385C2211yescharacteristic, complemented
177C37×#382C2211yescharacteristic, complemented
178C37×#381C2211yescharacteristic
179C37×#381C2211yescharacteristic
180C37×#380C2211yescharacteristic, complemented
181C37×#380C2211yescharacteristic, complemented
182C37×#379C2211yescharacteristic
183C37×#379C2211yescharacteristic
184C37×#379C2211yescharacteristic
185C4×C4⋊C4×C37C2211yescharacteristic, complemented
186C4×C22⋊C4×C37C2211yescharacteristic
187C4×C22⋊C4×C37C2211yescharacteristic, complemented
188C37×#376C2211yescharacteristic, complemented
189C25×C37C2311yescharacteristic
190C22×Q8×C37C2311yescharacteristic
191C22×Q8×C37C2311yescharacteristic
192C22×Q8×C37C2311yescharacteristic
193C22×Q8×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
205C22×D4×C37C2311yescharacteristic
206C23×C4×C37C2311yescharacteristic
207C23×C4×C37C2311yescharacteristic
208C23×C4×C37C2311yescharacteristic
209C23×C4×C37C2311yescharacteristic
210C23×C4×C37C2311yescharacteristic
211C23×C4×C37C2311yescharacteristic
212C23×C4×C37C2311yescharacteristic
213C4⋊Q8×C37—24no—
214#126×C37—24no—
215#126×C37—24no—
216#126×C37—24no—
217#126×C37—24no—
218#124×C37—24no—
219#124×C37—24no—
220#124×C37—24no—
221#124×C37—24no—
222#124×C37—24no—
223#124×C37—42no—
224#123×C37—24no—
225#123×C37—24no—
226#123×C37—24no—
227#123×C37—24no—
228C22⋊Q8×C37—24no—
229C22⋊Q8×C37—24no—
230C22⋊Q8×C37—24no—
231C22⋊Q8×C37—24no—
232C22⋊Q8×C37—42no—
233#121×C37—24no—
234#121×C37—24no—
235#121×C37—24no—
236#121×C37—24no—
237#121×C37—42no—
238#120×C37—24no—
239#120×C37—24no—
240#120×C37—42no—
241C4×Q8×C37—24no—
242C4×D4×C37—24no—
243C4×D4×C37D418yescomplemented
244#117×C37—24no—
245#117×C37—42no—
246C2×C4⋊C4×C37C2311yescharacteristic
247C2×C4⋊C4×C37C2311yescharacteristic
248C2×C4⋊C4×C37C2311yescharacteristic
249C2×C4⋊C4×C37C2311yescharacteristic
250C2×C4⋊C4×C37C2311yescharacteristic
251C2×C4⋊C4×C37C2311yescharacteristic
252C2×C4⋊C4×C37C2311yescharacteristic
253C2×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊C4×C37C2311yescharacteristic
256C2×C4⋊C4×C37C2311yescharacteristic
257C2×C4⋊C4×C37C2311yescharacteristic
258C2×C4⋊C4×C37C2311yescharacteristic
259C2×C4⋊C4×C37C2311yescharacteristic
260C2×C4⋊C4×C37C2311yescharacteristic
261C2×C4⋊C4×C37C2311yescharacteristic
262C2×C4⋊C4×C37C2311yescharacteristic
263C2×C4⋊C4×C37C2311yescharacteristic
264C2×C4⋊C4×C37C2311yescharacteristic
265C2×C4⋊C4×C37C2311yescharacteristic
266C2×C4⋊C4×C37C2311yescharacteristic
267C2×C4⋊C4×C37C2311yescharacteristic
268C2×C4⋊C4×C37C2311yescharacteristic
269C2×C4⋊C4×C37C2311yescharacteristic
270C2×C4⋊C4×C37C2311yescharacteristic
271C2×C4⋊C4×C37C2311yescharacteristic
272C2×C4⋊C4×C37C2311yescharacteristic
273C2×C4⋊C4×C37C2311yescharacteristic
274C2×C22⋊C4×C37—24no—
275C2×C22⋊C4×C37C2311yescharacteristic
276C2×C22⋊C4×C37C2311yescharacteristic
277C2×C22⋊C4×C37C2311yescharacteristic
278C2×C22⋊C4×C37C2311yescharacteristic
279C2×C22⋊C4×C37C2311yescharacteristic
280C2×C22⋊C4×C37C2311yescharacteristic
281C2×C22⋊C4×C37C2311yescharacteristic
282C2×C22⋊C4×C37C2311yescharacteristic
283C2×C22⋊C4×C37C2311yescharacteristic
284C2×C22⋊C4×C37C2311yescharacteristic
285C2×C22⋊C4×C37C2311yescharacteristic
286C2×C22⋊C4×C37C2311yescharacteristic
287C2×C22⋊C4×C37C2311yescharacteristic
288C2×C22⋊C4×C37C2311yescharacteristic
289C2×C22⋊C4×C37C2311yescharacteristic
290C2×C22⋊C4×C37C2311yescharacteristic
291C2×C22⋊C4×C37C2311yescharacteristic
292C2×C22⋊C4×C37C2311yescharacteristic
293C2×C22⋊C4×C37C2311yescharacteristic
294C2×C22⋊C4×C37C2311yescharacteristic
295C2×C22⋊C4×C37C2311yescharacteristic
296C2×C22⋊C4×C37C2311yescharacteristic
297C2×C22⋊C4×C37C2311yescharacteristic
298C2×C22⋊C4×C37C2311yescharacteristic
299C2×C22⋊C4×C37C2311yescharacteristic
300C2×C22⋊C4×C37C2311yescharacteristic
301C2×C22⋊C4×C37C2311yescharacteristic
302C2×C22⋊C4×C37C2311yescharacteristic
303C2×C22⋊C4×C37C2311yescharacteristic
304C2×C22⋊C4×C37C2311yescharacteristic
305C2×C22⋊C4×C37C2311yescharacteristic
306C2×C22⋊C4×C37C2311yescharacteristic
307C2×C22⋊C4×C37C2311yescharacteristic
308C2×C22⋊C4×C37C2311yescharacteristic
309C2×C22⋊C4×C37C2311yescharacteristic
310C2×C22⋊C4×C37C2311yescharacteristic
311C2×C22⋊C4×C37C2311yescharacteristic
312C2×C22⋊C4×C37C2311yescharacteristic
313C2×C22⋊C4×C37C2311yescharacteristic
314C2×C22⋊C4×C37C2311yescharacteristic
315C2×C22⋊C4×C37C2311yescharacteristic
316C2×C22⋊C4×C37C2311yescharacteristic
317C2×C22⋊C4×C37C2311yescharacteristic
318C2×C22⋊C4×C37C2311yescharacteristic
319C2×C22⋊C4×C37C2311yescharacteristic
320C2×C22⋊C4×C37C2311yescharacteristic
321C2×C22⋊C4×C37C2311yescharacteristic
322C2×C22⋊C4×C37C2311yescharacteristic
323C2×C22⋊C4×C37C2311yescharacteristic
324C2×C22⋊C4×C37C2311yescharacteristic
325C2×C22⋊C4×C37C2311yescharacteristic
326C2×C22⋊C4×C37C2311yescharacteristic
327C2×C22⋊C4×C37C2311yescharacteristic
328C2×C22⋊C4×C37C2311yescharacteristic
329C2×C22⋊C4×C37C2311yescharacteristic
330C2×C22⋊C4×C37C2311yescharacteristic
331C2×C42×C37—42no—
332C2×C42×C37C2311yescharacteristic
333C2×C42×C37C2311yescharacteristic
334C2×C42×C37C2311yescharacteristic
335C2×C42×C37C2311yescharacteristic
336C2×C42×C37C2311yescharacteristic
337C2×C42×C37C2311yescharacteristic
338C2×C42×C37C2311yescharacteristic
339C2×C42×C37C2311yescharacteristic
340C2×C42×C37C2311yescharacteristic
341C2×C42×C37C2311yescharacteristic
342C2×C42×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
363#95×C37C2311yescharacteristic
364#95×C37C2311yescharacteristic
365#95×C37C2311yescharacteristic
366#95×C37C2311yescharacteristic
367#95×C37C2311yescharacteristic
368#95×C37C2311yescharacteristic
369#95×C37C2311yescharacteristic
370#95×C37C2311yescharacteristic
371#95×C37C2311yescharacteristic
372#95×C37C2311yescharacteristic
373#95×C37C2311yescharacteristic
374#95×C37C2311yescharacteristic
375#95×C37C2311yescharacteristic
376#95×C37C2311yescharacteristic
377#95×C37C2311yescharacteristic
378#95×C37C2311yescharacteristic
379C24×C37—22no—
380C24×C37—41no—
381C24×C37—41no—
382C24×C37—41no—
383C24×C37—41no—
384C24×C37—41no—
385C24×C37—41no—
386C24×C37C2411yescharacteristic
387C24×C37C2411yescharacteristic
388C24×C37C2411yescharacteristic
389C24×C37C2411yescharacteristic
390C24×C37C2411yescharacteristic
391C24×C37C2411yescharacteristic
392C2×Q8×C37—22no—
393C2×Q8×C37—22no—
394C2×Q8×C37—22no—
395C2×Q8×C37—22no—
396C2×Q8×C37—41no—
397C2×Q8×C37—41no—
398C2×Q8×C37—41no—
399C2×Q8×C37—41no—
400C2×Q8×C37—41no—
401C2×Q8×C37—41no—
402C2×Q8×C37—41no—
403C2×Q8×C37—41no—
404C2×D4×C37—22no—
405C2×D4×C37—22no—
406C2×D4×C37—22no—
407C2×D4×C37—22no—
408C2×D4×C37—22no—
409C2×D4×C37—22no—
410C2×D4×C37—22no—
411C2×D4×C37—22no—
412C2×D4×C37—22no—
413C2×D4×C37—41no—
414C2×D4×C37—41no—
415C2×D4×C37—41no—
416C2×D4×C37—41no—
417C2×D4×C37—41no—
418C2×D4×C37—41no—
419C2×D4×C37—41no—
420C2×D4×C37—41no—
421C2×D4×C37—41no—
422C2×D4×C37—41no—
423C2×D4×C37—41no—
424C2×D4×C37—41no—
425C2×D4×C37—41no—
426C2×D4×C37—41no—
427C2×D4×C37—41no—
428C2×D4×C37—41no—
429C2×D4×C37—41no—
430C2×D4×C37—41no—
431C2×D4×C37—41no—
432C2×D4×C37—41no—
433C2×D4×C37—41no—
434C2×D4×C37—41no—
435C2×D4×C37—41no—
436C2×D4×C37—41no—
437C2×D4×C37—41no—
438C2×D4×C37—41no—
439C2×D4×C37C2×D414yes—
440C22×C4×C37—22no—
441C22×C4×C37—22no—
442C22×C4×C37—22no—
443C22×C4×C37—22no—
444C22×C4×C37—41no—
445C22×C4×C37—41no—
446C22×C4×C37—41no—
447C22×C4×C37—41no—
448C22×C4×C37—41no—
449C22×C4×C37—41no—
450C22×C4×C37—41no—
451C22×C4×C37—41no—
452C22×C4×C37—41no—
453C22×C4×C37—41no—
454C22×C4×C37—41no—
455C22×C4×C37—41no—
456C22×C4×C37—41no—
457C22×C4×C37—41no—
458C22×C4×C37—41no—
459C22×C4×C37C2×D414yes—
460C22×C4×C37C2×D414yes—
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
471C22×C4×C37C2411yescharacteristic
472C22×C4×C37C2411yescharacteristic
473C22×C4×C37C2411yescharacteristic
474C22×C4×C37C2411yescharacteristic
475C22×C4×C37C2411yescharacteristic
476C22×C4×C37C2411yescharacteristic
477C22×C4×C37C2411yescharacteristic
478C22×C4×C37C2411yescharacteristic
479C22×C4×C37C2411yescharacteristic
480C22×C4×C37C2411yescharacteristic
481C22×C4×C37C2411yescharacteristic
482C22×C4×C37C2411yescharacteristic
483C22×C4×C37C2411yescharacteristic
484C22×C4×C37C2411yescharacteristic
485C22×C4×C37C2411yescharacteristic
486C4⋊C4×C37—22no—
487C4⋊C4×C37—22no—
488C4⋊C4×C37—22no—
489C4⋊C4×C37—22no—
490C4⋊C4×C37—22no—
491C4⋊C4×C37—22no—
492C4⋊C4×C37—22no—
493C4⋊C4×C37—22no—
494C4⋊C4×C37—22no—
495C4⋊C4×C37—22no—
496C4⋊C4×C37—22no—
497C4⋊C4×C37—22no—
498C4⋊C4×C37—22no—
499C4⋊C4×C37—22no—
500C4⋊C4×C37—22no—
501C4⋊C4×C37—22no—
502C4⋊C4×C37—41no—
503C4⋊C4×C37—41no—
504C4⋊C4×C37—41no—
505C4⋊C4×C37—41no—
506C4⋊C4×C37—41no—
507C4⋊C4×C37—41no—
508C4⋊C4×C37—41no—
509C4⋊C4×C37—41no—
510C4⋊C4×C37—41no—
511C4⋊C4×C37—41no—
512C4⋊C4×C37—41no—
513C4⋊C4×C37C2×D414yes—
514C22⋊C4×C37—22no—
515C22⋊C4×C37—22no—
516C22⋊C4×C37—22no—
517C22⋊C4×C37—22no—
518C22⋊C4×C37—22no—
519C22⋊C4×C37—22no—
520C22⋊C4×C37—22no—
521C22⋊C4×C37—22no—
522C22⋊C4×C37—22no—
523C22⋊C4×C37—22no—
524C22⋊C4×C37—22no—
525C22⋊C4×C37—22no—
526C22⋊C4×C37—22no—
527C22⋊C4×C37—22no—
528C22⋊C4×C37—22no—
529C22⋊C4×C37—22no—
530C22⋊C4×C37—22no—
531C22⋊C4×C37—22no—
532C22⋊C4×C37—22no—
533C22⋊C4×C37—22no—
534C22⋊C4×C37—22no—
535C22⋊C4×C37—22no—
536C22⋊C4×C37—22no—
537C22⋊C4×C37—22no—
538C22⋊C4×C37—22no—
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—
549C22⋊C4×C37—41no—
550C22⋊C4×C37—41no—
551C22⋊C4×C37—41no—
552C22⋊C4×C37—41no—
553C22⋊C4×C37—41no—
554C22⋊C4×C37—41no—
555C22⋊C4×C37—41no—
556C22⋊C4×C37—41no—
557C22⋊C4×C37—41no—
558C22⋊C4×C37—41no—
559C22⋊C4×C37—41no—
560C22⋊C4×C37—41no—
561C22⋊C4×C37—41no—
562C22⋊C4×C37—41no—
563C22⋊C4×C37—41no—
564C22⋊C4×C37—41no—
565C22⋊C4×C37—41no—
566C22⋊C4×C37—41no—
567C22⋊C4×C37—41no—
568C22⋊C4×C37C2×D414yes—
569C22⋊C4×C37C2×D414yes—
570C42×C37—22no—
571C42×C37—22no—
572C42×C37—22no—
573C42×C37—22no—
574C42×C37—22no—
575C42×C37—22no—
576C42×C37—41no—
577C42×C37—41no—
578C42×C37—41no—
579C42×C37—41no—
580C42×C37C2×D414yes—
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—21no—
598C23×C37—21no—
599C23×C37—21no—
600C23×C37—21no—
601C23×C37—21no—
602C23×C37—21no—
603C23×C37—21no—
604C23×C37—21no—
605C23×C37—21no—
606C23×C37—21no—
607C23×C37—21no—
608C23×C37—21no—
609C23×C37—21no—
610C23×C37—21no—
611C23×C37—21no—
612C23×C37—21no—
613C23×C37—21no—
614C23×C37—21no—
615C23×C37—21no—
616C23×C37—21no—
617C23×C37—21no—
618C23×C37—21no—
619C23×C37—21no—
620C23×C37—21no—
621C23×C37—44no—
622C23×C37—82no—
623C23×C37—82no—
624C23×C37—82no—
625C23×C37—82no—
626C23×C37—82no—
627C23×C37—82no—
628C23×C37C22×D412yes—
629C23×C37C22×D412yes—
630C23×C37C2511yescharacteristic
631Q8×C37—44no—
632Q8×C37—82no—
633Q8×C37—82no—
634Q8×C37—82no—
635D4×C37—44no—
636D4×C37—44no—
637D4×C37—82no—
638D4×C37—82no—
639D4×C37—82no—
640D4×C37—82no—
641D4×C37—82no—
642D4×C37—82no—
643D4×C37—82no—
644D4×C37—82no—
645D4×C37—82no—
646D4×C37—82no—
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—21no—
696C2×C4×C37—21no—
697C2×C4×C37—21no—
698C2×C4×C37—21no—
699C2×C4×C37—21no—
700C2×C4×C37—21no—
701C2×C4×C37—21no—
702C2×C4×C37—21no—
703C2×C4×C37—21no—
704C2×C4×C37—21no—
705C2×C4×C37—21no—
706C2×C4×C37—21no—
707C2×C4×C37—21no—
708C2×C4×C37—21no—
709C2×C4×C37—21no—
710C2×C4×C37—21no—
711C2×C4×C37—21no—
712C2×C4×C37—21no—
713C2×C4×C37—21no—
714C2×C4×C37—21no—
715C2×C4×C37—21no—
716C2×C4×C37—44no—
717C2×C4×C37—44no—
718C2×C4×C37—44no—
719C2×C4×C37—44no—
720C2×C4×C37—44no—
721C2×C4×C37—82no—
722C2×C4×C37—82no—
723C2×C4×C37C22×D412yes—
724C2×C4×C37C22×D412yes—
725C2×C4×C37C22×D412yes—
726C2×C4×C37C22×D412yes—
727C2×C4×C37C22×D412yes—
728C2×C4×C37H(5,𝔽2)12yes—
729#36745C3711yesmaximal, characteristic, direct product factor, Sylow
730C22×C37—22no—
731C22×C37—22no—
732C22×C37—22no—
733C22×C37—22no—
734C22×C37—22no—
735C22×C37—22no—
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—41no—
749C22×C37—41no—
750C22×C37—41no—
751C22×C37—41no—
752C22×C37—41no—
753C22×C37—41no—
754C22×C37—41no—
755C22×C37—41no—
756C22×C37—41no—
757C22×C37—41no—
758C22×C37—41no—
759C22×C37—41no—
760C22×C37—41no—
761C22×C37—41no—
762C22×C37—41no—
763C22×C37—41no—
764C22×C37—41no—
765C22×C37—41no—
766C22×C37—41no—
767C22×C37—41no—
768C22×C37—41no—
769C22×C37—41no—
770C22×C37—41no—
771C22×C37—41no—
772C22×C37—88no—
773C22×C37C23×D411yescharacteristic
774C22×C37C2×H(5,𝔽2)11yescharacteristic
775C22×C37#58511yescharacteristic
776C22×C37#58511yescharacteristic
777C22×C37#58511yescharacteristic
778C22×C37#58511yescharacteristic
779C22×C37#58511yescharacteristic
780C4×C37—22no—
781C4×C37—22no—
782C4×C37—22no—
783C4×C37—22no—
784C4×C37—22no—
785C4×C37—22no—
786C4×C37—41no—
787C4×C37—41no—
788C4×C37—41no—
789C4×C37—41no—
790C4×C37—41no—
791C4×C37—41no—
792C4×C37—41no—
793C4×C37—41no—
794C4×C37—41no—
795C4×C37—41no—
796C4×C37—41no—
797C4×C37—41no—
798C4×C37—41no—
799C4×C37—41no—
800C4×C37—41no—
801C4×C37—41no—
802C4×C37—41no—
803C4×C37—41no—
804C4×C37—41no—
805C2×#542C2×C3711yescharacteristic, complemented
806C2×#538C2×C3711yescharacteristic, complemented
807#2854C2×C3711yescharacteristic, complemented
808#2850C2×C3711yescharacteristic, complemented
809#2723C2×C3711yescharacteristic, complemented
810#2716C2×C3711yescharacteristic, complemented
811#2715C2×C3711yescharacteristic, complemented
812#2712C2×C3711yescharacteristic, complemented
813#2700C2×C3711yescharacteristic, complemented
814#2698C2×C3711yescharacteristic, complemented
815#2696C2×C3711yescharacteristic, complemented
816#2691C2×C3711yescharacteristic, complemented
817#2688C2×C3711yescharacteristic, complemented
818#2686C2×C3711yescharacteristic, complemented
819#2685C2×C3711yescharacteristic, complemented
820#2684C2×C3711yescharacteristic, complemented
821#2676C2×C3711yescharacteristic, complemented
822#2674C2×C3711yescharacteristic, complemented
823#2670C2×C3711yescharacteristic, complemented
824#2668C2×C3711yescharacteristic, complemented
825#2663C2×C3711yescharacteristic, complemented
826#2661C2×C3711yescharacteristic, complemented
827#2610C2×C3711yescharacteristic, complemented
828#2604C2×C3711yescharacteristic, complemented
829#2602C2×C3711yescharacteristic, complemented
830#2601C2×C3711yescharacteristic, complemented
831#2592C2×C3711yescharacteristic, complemented
832#2561C2×C3711yescharacteristic, complemented
833#2415C2×C3711yescharacteristic, complemented
834#2411C2×C3711yescharacteristic, complemented
835#2290C2×C3711yescharacteristic, complemented
836C2×C37—42no—
837C2×C37—42no—
838C2×C37—81no—
839C2×C37—81no—
840C2×C37—81no—
841C2×C37—81no—
842C2×C37#344911yescharacteristic
843C2×C37#349611yescharacteristic
844C2×C37#350011yescharacteristic
845C2×C37#353311yescharacteristic
846C2×C37#354011yescharacteristic
847C2×C37#356611yescharacteristic
848C2×C37#356811yescharacteristic
849#542—28no—
850#538—28no—
851C2×C4⋊Q8C22×C3711yescharacteristic, complemented
852C2×#126C22×C3711yescharacteristic
853C2×#126C22×C3711yescharacteristic
854C2×#126C22×C3711yescharacteristic
855C2×#126C22×C3711yescharacteristic, complemented
856C2×#124C22×C3711yescharacteristic
857C2×#124C22×C3711yescharacteristic
858C2×#124C22×C3711yescharacteristic
859C2×#124C22×C3711yescharacteristic
860C2×#124C22×C3711yescharacteristic
861C2×#124C22×C3711yescharacteristic, complemented
862C2×#123C22×C3711yescharacteristic
863C2×#123C22×C3711yescharacteristic
864C2×#123C22×C3711yescharacteristic
865C2×#123C22×C3711yescharacteristic, complemented
866C2×C22⋊Q8C22×C3711yescharacteristic
867C2×C22⋊Q8C22×C3711yescharacteristic
868C2×C22⋊Q8C22×C3711yescharacteristic, complemented
869C2×C22⋊Q8C22×C3711yescharacteristic, complemented
870C2×C22⋊Q8C22×C3711yescharacteristic, complemented
871C2×#121C22×C3711yescharacteristic
872C2×#121C22×C3711yescharacteristic
873C2×#121C22×C3711yescharacteristic
874C2×#121C22×C3711yescharacteristic
875C2×#121C22×C3711yescharacteristic
876C2×#120C22×C3711yescharacteristic
877C2×#120C22×C3711yescharacteristic
878C2×#120C22×C3711yescharacteristic
879C2×C4×Q8C22×C3711yescharacteristic, complemented
880C2×C4×D4C22×C3711yescharacteristic
881C2×C4×D4C22×C3711yescharacteristic
882C2×#117C22×C3711yescharacteristic
883C2×#117C22×C3711yescharacteristic, complemented
884C22×C22⋊C4C22×C3711yescharacteristic
885C22×C42C22×C3711yescharacteristic, complemented
886#400C22×C3711yescharacteristic, complemented
887#400C22×C3711yescharacteristic, complemented
888#399C22×C3711yescharacteristic
889#399C22×C3711yescharacteristic
890#398C22×C3711yescharacteristic, complemented
891#398C22×C3711yescharacteristic, complemented
892#397C22×C3711yescharacteristic
893#397C22×C3711yescharacteristic
894#397C22×C3711yescharacteristic
895#397C22×C3711yescharacteristic
896#397C22×C3711yescharacteristic
897#397C22×C3711yescharacteristic
898#397C22×C3711yescharacteristic, complemented
899#397C22×C3711yescharacteristic, complemented
900#397C22×C3711yescharacteristic, complemented
901#397C22×C3711yescharacteristic, complemented
902#396C22×C3711yescharacteristic
903#396C22×C3711yescharacteristic
904#396C22×C3711yescharacteristic
905#396C22×C3711yescharacteristic, complemented
906#395C22×C3711yescharacteristic, complemented
907#395C22×C3711yescharacteristic, complemented
908#395C22×C3711yescharacteristic, complemented
909#394C22×C3711yescharacteristic
910#394C22×C3711yescharacteristic
911#394C22×C3711yescharacteristic
912#394C22×C3711yescharacteristic
913#394C22×C3711yescharacteristic
914#394C22×C3711yescharacteristic
915#394C22×C3711yescharacteristic
916#394C22×C3711yescharacteristic
917#394C22×C3711yescharacteristic
918#394C22×C3711yescharacteristic
919#394C22×C3711yescharacteristic
920#394C22×C3711yescharacteristic
921#394C22×C3711yescharacteristic, complemented
922#393C22×C3711yescharacteristic
923#393C22×C3711yescharacteristic
924#393C22×C3711yescharacteristic
925#393C22×C3711yescharacteristic
926#393C22×C3711yescharacteristic
927#393C22×C3711yescharacteristic, complemented
928#393C22×C3711yescharacteristic, complemented
929#392C22×C3711yescharacteristic
930#392C22×C3711yescharacteristic
931#392C22×C3711yescharacteristic
932#392C22×C3711yescharacteristic
933#392C22×C3711yescharacteristic, complemented
934#391C22×C3711yescharacteristic, complemented
935#391C22×C3711yescharacteristic, complemented
936#391C22×C3711yescharacteristic, complemented
937#391C22×C3711yescharacteristic, complemented
938#390C22×C3711yescharacteristic
939#390C22×C3711yescharacteristic
940#390C22×C3711yescharacteristic
941#390C22×C3711yescharacteristic
942#390C22×C3711yescharacteristic
943#390C22×C3711yescharacteristic
944#390C22×C3711yescharacteristic, complemented
945#389C22×C3711yescharacteristic, complemented
946#389C22×C3711yescharacteristic, complemented
947#389C22×C3711yescharacteristic, complemented
948#389C22×C3711yescharacteristic, complemented
949#389C22×C3711yescharacteristic, complemented
950#388C22×C3711yescharacteristic
951#388C22×C3711yescharacteristic
952#388C22×C3711yescharacteristic
953#388C22×C3711yescharacteristic
954#388C22×C3711yescharacteristic
955#388C22×C3711yescharacteristic
956#388C22×C3711yescharacteristic
957#388C22×C3711yescharacteristic
958#388C22×C3711yescharacteristic
959#388C22×C3711yescharacteristic
960#388C22×C3711yescharacteristic
961#388C22×C3711yescharacteristic
962#388C22×C3711yescharacteristic
963#388C22×C3711yescharacteristic, complemented
964#388C22×C3711yescharacteristic, complemented
965#388C22×C3711yescharacteristic, complemented
966#388C22×C3711yescharacteristic, complemented
967#388C22×C3711yescharacteristic, complemented
968#388C22×C3711yescharacteristic, complemented
969#388C22×C3711yescharacteristic, complemented
970#387C22×C3711yescharacteristic, complemented
971#387C22×C3711yescharacteristic, complemented
972#387C22×C3711yescharacteristic, complemented
973#387C22×C3711yescharacteristic, complemented
974#387C22×C3711yescharacteristic, complemented
975#387C22×C3711yescharacteristic, complemented
976#386C22×C3711yescharacteristic
977#386C22×C3711yescharacteristic
978#386C22×C3711yescharacteristic
979#386C22×C3711yescharacteristic
980#386C22×C3711yescharacteristic
981#386C22×C3711yescharacteristic
982#386C22×C3711yescharacteristic
983#386C22×C3711yescharacteristic
984#386C22×C3711yescharacteristic, complemented
985#386C22×C3711yescharacteristic, complemented
986#386C22×C3711yescharacteristic, complemented
987#386C22×C3711yescharacteristic, complemented
988#386C22×C3711yescharacteristic, complemented
989#385C22×C3711yescharacteristic
990#385C22×C3711yescharacteristic, complemented
991#385C22×C3711yescharacteristic, complemented
992#385C22×C3711yescharacteristic, complemented
993#385C22×C3711yescharacteristic, complemented
994#382C22×C3711yescharacteristic, complemented
995#381C22×C3711yescharacteristic
996#381C22×C3711yescharacteristic
997#380C22×C3711yescharacteristic, complemented
998#380C22×C3711yescharacteristic, complemented
999#379C22×C3711yescharacteristic
1000#379C22×C3711yescharacteristic
1001#379C22×C3711yescharacteristic
1002C4×C4⋊C4C22×C3711yescharacteristic, complemented
1003C4×C22⋊C4C22×C3711yescharacteristic
1004C4×C22⋊C4C22×C3711yescharacteristic, complemented
1005#376C22×C3711yescharacteristic, complemented
1006C37#3674511yescharacteristic, direct product factor, Sylow
1007C25C23×C3711yescharacteristic
1008C22×Q8C23×C3711yescharacteristic
1009C22×Q8C23×C3711yescharacteristic
1010C22×Q8C23×C3711yescharacteristic
1011C22×Q8C23×C3711yescharacteristic
1012C22×D4C23×C3711yescharacteristic
1013C22×D4C23×C3711yescharacteristic
1014C22×D4C23×C3711yescharacteristic
1015C22×D4C23×C3711yescharacteristic
1016C22×D4C23×C3711yescharacteristic
1017C22×D4C23×C3711yescharacteristic
1018C22×D4C23×C3711yescharacteristic
1019C22×D4C23×C3711yescharacteristic
1020C22×D4C23×C3711yescharacteristic
1021C22×D4C23×C3711yescharacteristic
1022C22×D4C23×C3711yescharacteristic
1023C22×D4C23×C3711yescharacteristic
1024C23×C4C23×C3711yescharacteristic
1025C23×C4C23×C3711yescharacteristic
1026C23×C4C23×C3711yescharacteristic
1027C23×C4C23×C3711yescharacteristic
1028C23×C4C23×C3711yescharacteristic
1029C23×C4C23×C3711yescharacteristic
1030C23×C4C23×C3711yescharacteristic
1031C4⋊Q8—24no—
1032#126—24no—
1033#126—24no—
1034#126—24no—
1035#126—24no—
1036#124—24no—
1037#124—24no—
1038#124—24no—
1039#124—24no—
1040#124—24no—
1041#124—42no—
1042#123—24no—
1043#123—24no—
1044#123—24no—
1045#123—24no—
1046C22⋊Q8—24no—
1047C22⋊Q8—24no—
1048C22⋊Q8—24no—
1049C22⋊Q8—24no—
1050C22⋊Q8—42no—
1051#121—24no—
1052#121—24no—
1053#121—24no—
1054#121—24no—
1055#121—42no—
1056#120—24no—
1057#120—24no—
1058#120—42no—
1059C4×Q8—24no—
1060C4×D4—24no—
1061C4×D4D4×C3718yescomplemented
1062#117—24no—
1063#117—42no—
1064C2×C4⋊C4C23×C3711yescharacteristic
1065C2×C4⋊C4C23×C3711yescharacteristic
1066C2×C4⋊C4C23×C3711yescharacteristic
1067C2×C4⋊C4C23×C3711yescharacteristic
1068C2×C4⋊C4C23×C3711yescharacteristic
1069C2×C4⋊C4C23×C3711yescharacteristic
1070C2×C4⋊C4C23×C3711yescharacteristic
1071C2×C4⋊C4C23×C3711yescharacteristic
1072C2×C4⋊C4C23×C3711yescharacteristic
1073C2×C4⋊C4C23×C3711yescharacteristic
1074C2×C4⋊C4C23×C3711yescharacteristic
1075C2×C4⋊C4C23×C3711yescharacteristic
1076C2×C4⋊C4C23×C3711yescharacteristic
1077C2×C4⋊C4C23×C3711yescharacteristic
1078C2×C4⋊C4C23×C3711yescharacteristic
1079C2×C4⋊C4C23×C3711yescharacteristic
1080C2×C4⋊C4C23×C3711yescharacteristic
1081C2×C4⋊C4C23×C3711yescharacteristic
1082C2×C4⋊C4C23×C3711yescharacteristic
1083C2×C4⋊C4C23×C3711yescharacteristic
1084C2×C4⋊C4C23×C3711yescharacteristic
1085C2×C4⋊C4C23×C3711yescharacteristic
1086C2×C4⋊C4C23×C3711yescharacteristic
1087C2×C4⋊C4C23×C3711yescharacteristic
1088C2×C4⋊C4C23×C3711yescharacteristic
1089C2×C4⋊C4C23×C3711yescharacteristic
1090C2×C4⋊C4C23×C3711yescharacteristic
1091C2×C4⋊C4C23×C3711yescharacteristic
1092C2×C22⋊C4—24no—
1093C2×C22⋊C4C23×C3711yescharacteristic
1094C2×C22⋊C4C23×C3711yescharacteristic
1095C2×C22⋊C4C23×C3711yescharacteristic
1096C2×C22⋊C4C23×C3711yescharacteristic
1097C2×C22⋊C4C23×C3711yescharacteristic
1098C2×C22⋊C4C23×C3711yescharacteristic
1099C2×C22⋊C4C23×C3711yescharacteristic
1100C2×C22⋊C4C23×C3711yescharacteristic
1101C2×C22⋊C4C23×C3711yescharacteristic
1102C2×C22⋊C4C23×C3711yescharacteristic
1103C2×C22⋊C4C23×C3711yescharacteristic
1104C2×C22⋊C4C23×C3711yescharacteristic
1105C2×C22⋊C4C23×C3711yescharacteristic
1106C2×C22⋊C4C23×C3711yescharacteristic
1107C2×C22⋊C4C23×C3711yescharacteristic
1108C2×C22⋊C4C23×C3711yescharacteristic
1109C2×C22⋊C4C23×C3711yescharacteristic
1110C2×C22⋊C4C23×C3711yescharacteristic
1111C2×C22⋊C4C23×C3711yescharacteristic
1112C2×C22⋊C4C23×C3711yescharacteristic
1113C2×C22⋊C4C23×C3711yescharacteristic
1114C2×C22⋊C4C23×C3711yescharacteristic
1115C2×C22⋊C4C23×C3711yescharacteristic
1116C2×C22⋊C4C23×C3711yescharacteristic
1117C2×C22⋊C4C23×C3711yescharacteristic
1118C2×C22⋊C4C23×C3711yescharacteristic
1119C2×C22⋊C4C23×C3711yescharacteristic
1120C2×C22⋊C4C23×C3711yescharacteristic
1121C2×C22⋊C4C23×C3711yescharacteristic
1122C2×C22⋊C4C23×C3711yescharacteristic
1123C2×C22⋊C4C23×C3711yescharacteristic
1124C2×C22⋊C4C23×C3711yescharacteristic
1125C2×C22⋊C4C23×C3711yescharacteristic
1126C2×C22⋊C4C23×C3711yescharacteristic
1127C2×C22⋊C4C23×C3711yescharacteristic
1128C2×C22⋊C4C23×C3711yescharacteristic
1129C2×C22⋊C4C23×C3711yescharacteristic
1130C2×C22⋊C4C23×C3711yescharacteristic
1131C2×C22⋊C4C23×C3711yescharacteristic
1132C2×C22⋊C4C23×C3711yescharacteristic
1133C2×C22⋊C4C23×C3711yescharacteristic
1134C2×C22⋊C4C23×C3711yescharacteristic
1135C2×C22⋊C4C23×C3711yescharacteristic
1136C2×C22⋊C4C23×C3711yescharacteristic
1137C2×C22⋊C4C23×C3711yescharacteristic
1138C2×C22⋊C4C23×C3711yescharacteristic
1139C2×C22⋊C4C23×C3711yescharacteristic
1140C2×C22⋊C4C23×C3711yescharacteristic
1141C2×C22⋊C4C23×C3711yescharacteristic
1142C2×C22⋊C4C23×C3711yescharacteristic
1143C2×C22⋊C4C23×C3711yescharacteristic
1144C2×C22⋊C4C23×C3711yescharacteristic
1145C2×C22⋊C4C23×C3711yescharacteristic
1146C2×C22⋊C4C23×C3711yescharacteristic
1147C2×C22⋊C4C23×C3711yescharacteristic
1148C2×C22⋊C4C23×C3711yescharacteristic
1149C2×C42—42no—
1150C2×C42C23×C3711yescharacteristic
1151C2×C42C23×C3711yescharacteristic
1152C2×C42C23×C3711yescharacteristic
1153C2×C42C23×C3711yescharacteristic
1154C2×C42C23×C3711yescharacteristic
1155C2×C42C23×C3711yescharacteristic
1156C2×C42C23×C3711yescharacteristic
1157C2×C42C23×C3711yescharacteristic
1158C2×C42C23×C3711yescharacteristic
1159C2×C42C23×C3711yescharacteristic
1160C2×C42C23×C3711yescharacteristic
1161#95C23×C3711yescharacteristic
1162#95C23×C3711yescharacteristic
1163#95C23×C3711yescharacteristic
1164#95C23×C3711yescharacteristic
1165#95C23×C3711yescharacteristic
1166#95C23×C3711yescharacteristic
1167#95C23×C3711yescharacteristic
1168#95C23×C3711yescharacteristic
1169#95C23×C3711yescharacteristic
1170#95C23×C3711yescharacteristic
1171#95C23×C3711yescharacteristic
1172#95C23×C3711yescharacteristic
1173#95C23×C3711yescharacteristic
1174#95C23×C3711yescharacteristic
1175#95C23×C3711yescharacteristic
1176#95C23×C3711yescharacteristic
1177#95C23×C3711yescharacteristic
1178#95C23×C3711yescharacteristic
1179#95C23×C3711yescharacteristic
1180#95C23×C3711yescharacteristic
1181#95C23×C3711yescharacteristic
1182#95C23×C3711yescharacteristic
1183#95C23×C3711yescharacteristic
1184#95C23×C3711yescharacteristic
1185#95C23×C3711yescharacteristic
1186#95C23×C3711yescharacteristic
1187#95C23×C3711yescharacteristic
1188#95C23×C3711yescharacteristic
1189#95C23×C3711yescharacteristic
1190#95C23×C3711yescharacteristic
1191#95C23×C3711yescharacteristic
1192#95C23×C3711yescharacteristic
1193#95C23×C3711yescharacteristic
1194#95C23×C3711yescharacteristic
1195#95C23×C3711yescharacteristic
1196#95C23×C3711yescharacteristic
1197C24—22no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—41no—
1202C24—41no—
1203C24—41no—
1204C24C24×C3711yescharacteristic
1205C24C24×C3711yescharacteristic
1206C24C24×C3711yescharacteristic
1207C24C24×C3711yescharacteristic
1208C24C24×C3711yescharacteristic
1209C24C24×C3711yescharacteristic
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—41no—
1215C2×Q8—41no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—41no—
1219C2×Q8—41no—
1220C2×Q8—41no—
1221C2×Q8—41no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—41no—
1239C2×D4—41no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—41no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4C2×D4×C3714yes—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4C2×D4×C3714yes—
1278C22×C4C2×D4×C3714yes—
1279C22×C4C24×C3711yescharacteristic
1280C22×C4C24×C3711yescharacteristic
1281C22×C4C24×C3711yescharacteristic
1282C22×C4C24×C3711yescharacteristic
1283C22×C4C24×C3711yescharacteristic
1284C22×C4C24×C3711yescharacteristic
1285C22×C4C24×C3711yescharacteristic
1286C22×C4C24×C3711yescharacteristic
1287C22×C4C24×C3711yescharacteristic
1288C22×C4C24×C3711yescharacteristic
1289C22×C4C24×C3711yescharacteristic
1290C22×C4C24×C3711yescharacteristic
1291C22×C4C24×C3711yescharacteristic
1292C22×C4C24×C3711yescharacteristic
1293C22×C4C24×C3711yescharacteristic
1294C22×C4C24×C3711yescharacteristic
1295C22×C4C24×C3711yescharacteristic
1296C22×C4C24×C3711yescharacteristic
1297C22×C4C24×C3711yescharacteristic
1298C22×C4C24×C3711yescharacteristic
1299C22×C4C24×C3711yescharacteristic
1300C22×C4C24×C3711yescharacteristic
1301C22×C4C24×C3711yescharacteristic
1302C22×C4C24×C3711yescharacteristic
1303C22×C4C24×C3711yescharacteristic
1304C4⋊C4—22no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4C2×D4×C3714yes—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4C2×D4×C3714yes—
1387C22⋊C4C2×D4×C3714yes—
1388C42—22no—
1389C42—22no—
1390C42—22no—
1391C42—22no—
1392C42—22no—
1393C42—22no—
1394C42—41no—
1395C42—41no—
1396C42—41no—
1397C42—41no—
1398C42C2×D4×C3714yes—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—44no—
1440C23—82no—
1441C23—82no—
1442C23—82no—
1443C23—82no—
1444C23—82no—
1445C23—82no—
1446C23C22×D4×C3712yes—
1447C23C22×D4×C3712yes—
1448C23C25×C3711yescharacteristic
1449Q8—44no—
1450Q8—82no—
1451Q8—82no—
1452Q8—82no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459D4—82no—
1460D4—82no—
1461D4—82no—
1462D4—82no—
1463D4—82no—
1464D4—82no—
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—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—82no—
1540C2×C4—82no—
1541C2×C4C22×D4×C3712yes—
1542C2×C4C22×D4×C3712yes—
1543C2×C4C22×D4×C3712yes—
1544C2×C4C22×D4×C3712yes—
1545C2×C4C22×D4×C3712yes—
1546C2×C4H(5,𝔽2)×C3712yes—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—88no—
1590C22C23×D4×C3711yescharacteristic
1591C22C2×H(5,𝔽2)×C3711yescharacteristic
1592C22C37×#58511yescharacteristic
1593C22C37×#58511yescharacteristic
1594C22C37×#58511yescharacteristic
1595C22C37×#58511yescharacteristic
1596C22C37×#58511yescharacteristic
1597C4—22no—
1598C4—22no—
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—22no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C2—42no—
1623C2—42no—
1624C2—81no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2C37×#344911yescharacteristic
1629C2C37×#349611yescharacteristic
1630C2C37×#350011yescharacteristic
1631C2C37×#353311yescharacteristic
1632C2C37×#354011yescharacteristic
1633C2C37×#356611yescharacteristic
1634C2C37×#356811yescharacteristic
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. C2×C37×#542C2semidirect
2. C2×C37×#538C2semidirect
3. C37×#2854C2semidirect
4. C37×#2850C2semidirect
5. C37×#2723C2semidirect
6. C37×#2716C2semidirect
7. C37×#2715C2semidirect
8. C37×#2712C2semidirect
9. C37×#2700C2semidirect
10. C37×#2698C2semidirect
11. C37×#2696C2semidirect
12. C37×#2691C2semidirect
13. C37×#2688C2semidirect
14. C37×#2686C2semidirect
15. C37×#2685C2semidirect
16. C37×#2684C2semidirect
17. C37×#2676C2semidirect
18. C37×#2674C2semidirect
19. C37×#2670C2semidirect
20. C37×#2668C2semidirect
21. C37×#2663C2semidirect
22. C37×#2661C2semidirect
23. C37×#2610C2semidirect
24. C37×#2604C2semidirect
25. C37×#2602C2semidirect
26. C37×#2601C2semidirect
27. C37×#2592C2semidirect
28. C37×#2561C2semidirect
29. C37×#2415C2semidirect
30. C37×#2411C2semidirect
31. C37×#2290C2semidirect
34. C2×C4⋊Q8×C37C22semidirect
38. C2×#126×C37C22semidirect
44. C2×#124×C37C22semidirect
48. C2×#123×C37C22semidirect
51. C2×C22⋊Q8×C37C22semidirect
52. C2×C22⋊Q8×C37C22semidirect
53. C2×C22⋊Q8×C37C22semidirect
62. C2×C4×Q8×C37C22semidirect
66. C2×#117×C37C22semidirect
68. C22×C42×C37C22semidirect
69. C37×#400C22semidirect
70. C37×#400C22semidirect
73. C37×#398C22semidirect
74. C37×#398C22semidirect
81. C37×#397C22semidirect
82. C37×#397C22semidirect
83. C37×#397C22semidirect
84. C37×#397C22semidirect
88. C37×#396C22semidirect
89. C37×#395C22semidirect
90. C37×#395C22semidirect
91. C37×#395C22semidirect
104. C37×#394C22semidirect
110. C37×#393C22semidirect
111. C37×#393C22semidirect
116. C37×#392C22semidirect
117. C37×#391C22semidirect
118. C37×#391C22semidirect
119. C37×#391C22semidirect
120. C37×#391C22semidirect
127. C37×#390C22semidirect
128. C37×#389C22semidirect
129. C37×#389C22semidirect
130. C37×#389C22semidirect
131. C37×#389C22semidirect
132. C37×#389C22semidirect
146. C37×#388C22semidirect
147. C37×#388C22semidirect
148. C37×#388C22semidirect
149. C37×#388C22semidirect
150. C37×#388C22semidirect
151. C37×#388C22semidirect
152. C37×#388C22semidirect
153. C37×#387C22semidirect
154. C37×#387C22semidirect
155. C37×#387C22semidirect
156. C37×#387C22semidirect
157. C37×#387C22semidirect
158. C37×#387C22semidirect
167. C37×#386C22semidirect
168. C37×#386C22semidirect
169. C37×#386C22semidirect
170. C37×#386C22semidirect
171. C37×#386C22semidirect
173. C37×#385C22semidirect
174. C37×#385C22semidirect
175. C37×#385C22semidirect
176. C37×#385C22semidirect
177. C37×#382C22semidirect
180. C37×#380C22semidirect
181. C37×#380C22semidirect
185. C4×C4⋊C4×C37C22semidirect
187. C4×C22⋊C4×C37C22semidirect
188. C37×#376C22semidirect
243. C4×D4×C37D4semidirect
729. #36745C37direct (N × H)
805. C2×#542C2×C37semidirect
806. C2×#538C2×C37semidirect
807. #2854C2×C37semidirect
808. #2850C2×C37semidirect
809. #2723C2×C37semidirect
810. #2716C2×C37semidirect
811. #2715C2×C37semidirect
812. #2712C2×C37semidirect
813. #2700C2×C37semidirect
814. #2698C2×C37semidirect
815. #2696C2×C37semidirect
816. #2691C2×C37semidirect
817. #2688C2×C37semidirect
818. #2686C2×C37semidirect
819. #2685C2×C37semidirect
820. #2684C2×C37semidirect
821. #2676C2×C37semidirect
822. #2674C2×C37semidirect
823. #2670C2×C37semidirect
824. #2668C2×C37semidirect
825. #2663C2×C37semidirect
826. #2661C2×C37semidirect
827. #2610C2×C37semidirect
828. #2604C2×C37semidirect
829. #2602C2×C37semidirect
830. #2601C2×C37semidirect
831. #2592C2×C37semidirect
832. #2561C2×C37semidirect
833. #2415C2×C37semidirect
834. #2411C2×C37semidirect
835. #2290C2×C37semidirect
851. C2×C4⋊Q8C22×C37semidirect
855. C2×#126C22×C37semidirect
861. C2×#124C22×C37semidirect
865. C2×#123C22×C37semidirect
868. C2×C22⋊Q8C22×C37semidirect
869. C2×C22⋊Q8C22×C37semidirect
870. C2×C22⋊Q8C22×C37semidirect
879. C2×C4×Q8C22×C37semidirect
883. C2×#117C22×C37semidirect
885. C22×C42C22×C37semidirect
886. #400C22×C37semidirect
887. #400C22×C37semidirect
890. #398C22×C37semidirect
891. #398C22×C37semidirect
898. #397C22×C37semidirect
899. #397C22×C37semidirect
900. #397C22×C37semidirect
901. #397C22×C37semidirect
905. #396C22×C37semidirect
906. #395C22×C37semidirect
907. #395C22×C37semidirect
908. #395C22×C37semidirect
921. #394C22×C37semidirect
927. #393C22×C37semidirect
928. #393C22×C37semidirect
933. #392C22×C37semidirect
934. #391C22×C37semidirect
935. #391C22×C37semidirect
936. #391C22×C37semidirect
937. #391C22×C37semidirect
944. #390C22×C37semidirect
945. #389C22×C37semidirect
946. #389C22×C37semidirect
947. #389C22×C37semidirect
948. #389C22×C37semidirect
949. #389C22×C37semidirect
963. #388C22×C37semidirect
964. #388C22×C37semidirect
965. #388C22×C37semidirect
966. #388C22×C37semidirect
967. #388C22×C37semidirect
968. #388C22×C37semidirect
969. #388C22×C37semidirect
970. #387C22×C37semidirect
971. #387C22×C37semidirect
972. #387C22×C37semidirect
973. #387C22×C37semidirect
974. #387C22×C37semidirect
975. #387C22×C37semidirect
984. #386C22×C37semidirect
985. #386C22×C37semidirect
986. #386C22×C37semidirect
987. #386C22×C37semidirect
988. #386C22×C37semidirect
990. #385C22×C37semidirect
991. #385C22×C37semidirect
992. #385C22×C37semidirect
993. #385C22×C37semidirect
994. #382C22×C37semidirect
997. #380C22×C37semidirect
998. #380C22×C37semidirect
1002. C4×C4⋊C4C22×C37semidirect
1004. C4×C22⋊C4C22×C37semidirect
1005. #376C22×C37semidirect
1006. C37#36745direct (N × H)
1061. C4×D4D4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5422
C2×C37×#5382
C37×#28542
C37×#28502
C37×#27232
C37×#27162
C37×#27152
C37×#27122
C37×#27002
C37×#26982
C37×#26962
C37×#26912
C37×#26882
C37×#26862
C37×#26852
C37×#26842
C37×#26762
C37×#26742
C37×#26702
C37×#26682
C37×#26632
C37×#26612
C37×#26102
C37×#26042
C37×#26022
C37×#26012
C37×#25922
C37×#25612
C37×#24152
C37×#24112
C37×#22902
#3674537