Finite Group Databasebeta

← C37×#34447 #22655700

Subgroups — C37×#34447 #22655700

Order 9472.

2074 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C37×#542C211yesmaximal, characteristic
2C37×#2379C211yesmaximal, characteristic, complemented
3C37×#2378C211yesmaximal, characteristic, complemented
4C37×#2378C211yesmaximal, characteristic, complemented
5C37×#2376C211yesmaximal, characteristic, complemented
6C37×#2373C211yesmaximal, characteristic, complemented
7C37×#2373C211yesmaximal, characteristic, complemented
8C37×#2372C211yesmaximal, characteristic, complemented
9C37×#2372C211yesmaximal, characteristic, complemented
10C37×#2368C211yesmaximal, characteristic, complemented
11C37×#2367C211yesmaximal, characteristic, complemented
12C37×#2360C211yesmaximal, characteristic, complemented
13C37×#2359C211yesmaximal, characteristic, complemented
14C37×#2353C211yesmaximal, characteristic, complemented
15C37×#2352C211yesmaximal, characteristic, complemented
16C37×#2346C211yesmaximal, characteristic, complemented
17C37×#2343C211yesmaximal, characteristic, complemented
18C37×#2337C211yesmaximal, characteristic, complemented
19C37×#2335C211yesmaximal, characteristic, complemented
20C37×#2334C211yesmaximal, characteristic, complemented
21C37×#2333C211yesmaximal, characteristic
22C37×#2331C211yesmaximal, characteristic, complemented
23C37×#2329C211yesmaximal, characteristic, complemented
24C37×#2327C211yesmaximal, characteristic, complemented
25C37×#2325C211yesmaximal, characteristic
26C37×#2323C211yesmaximal, characteristic, complemented
27C37×#2322C211yesmaximal, characteristic, complemented
28C37×#2320C211yesmaximal, characteristic, complemented
29C4×#126×C37C211yesmaximal, characteristic, complemented
30C4×#124×C37C211yesmaximal, characteristic, complemented
31C37×#2295C211yesmaximal, characteristic, complemented
32C37×#542C4116yescomplemented
33C2×C4⋊Q8×C37C2211yescharacteristic
34C2×#126×C37C2211yescharacteristic
35C2×#126×C37C2211yescharacteristic
36C2×#124×C37C2211yescharacteristic
37C2×#124×C37C2211yescharacteristic
38C2×#124×C37C2211yescharacteristic
39C2×#123×C37C2211yescharacteristic
40C2×#123×C37C2211yescharacteristic
41C2×C22⋊Q8×C37C2211yescharacteristic
42C2×C22⋊Q8×C37C2211yescharacteristic
43C2×C22⋊Q8×C37C2211yescharacteristic
44C2×#121×C37C2211yescharacteristic
45C2×C4×Q8×C37C2211yescharacteristic
46C2×C4×Q8×C37C2211yescharacteristic
47C2×C4×Q8×C37C2211yescharacteristic
48C2×C4×D4×C37C2211yescharacteristic
49C2×C4×D4×C37C2211yescharacteristic
50C2×C4×D4×C37C2211yescharacteristic
51C2×#117×C37C2211yescharacteristic
52C2×#117×C37C2211yescharacteristic
53C22×C4⋊C4×C37C2211yescharacteristic
54C37×#391C2211yescharacteristic
55C37×#391C2211yescharacteristic
56C37×#391C2211yescharacteristic
57C37×#391C2211yescharacteristic
58C37×#391C2211yescharacteristic
59C37×#391C2211yescharacteristic
60C37×#391C2211yescharacteristic
61C37×#391C2211yescharacteristic
62C37×#391C2211yescharacteristic
63C37×#391C2211yescharacteristic
64C37×#390C2211yescharacteristic
65C37×#390C2211yescharacteristic
66C37×#389C2211yescharacteristic
67C37×#389C2211yescharacteristic
68C37×#389C2211yescharacteristic
69C37×#389C2211yescharacteristic
70C37×#389C2211yescharacteristic
71C37×#389C2211yescharacteristic
72C37×#389C2211yescharacteristic
73C37×#389C2211yescharacteristic
74C37×#389C2211yescharacteristic
75C37×#389C2211yescharacteristic
76C37×#388C2211yescharacteristic
77C37×#388C2211yescharacteristic
78C37×#388C2211yescharacteristic
79C37×#388C2211yescharacteristic
80C37×#388C2211yescharacteristic
81C37×#388C2211yescharacteristic
82C37×#388C2211yescharacteristic
83C37×#388C2211yescharacteristic
84C37×#388C2211yescharacteristic
85C37×#388C2211yescharacteristic
86C37×#388C2211yescharacteristic
87C37×#388C2211yescharacteristic
88C37×#388C2211yescharacteristic
89C37×#388C2211yescharacteristic
90C37×#388C2211yescharacteristic
91C37×#388C2211yescharacteristic
92C37×#388C2211yescharacteristic
93C37×#388C2211yescharacteristic
94C37×#388C2211yescharacteristic
95C37×#388C2211yescharacteristic
96C37×#388C2211yescharacteristic
97C37×#388C2211yescharacteristic
98C37×#388C2211yescharacteristic
99C37×#388C2211yescharacteristic
100C37×#387C2211yescharacteristic
101C37×#387C2211yescharacteristic
102C37×#387C2211yescharacteristic
103C37×#387C2211yescharacteristic
104C37×#387C2211yescharacteristic
105C37×#387C2211yescharacteristic
106C37×#387C2211yescharacteristic
107C37×#387C2211yescharacteristic
108C37×#387C2211yescharacteristic
109C37×#387C2211yescharacteristic
110C37×#387C2211yescharacteristic
111C37×#387C2211yescharacteristic
112C37×#387C2211yescharacteristic
113C37×#387C2211yescharacteristic
114C37×#387C2211yescharacteristic
115C37×#387C2211yescharacteristic
116C37×#387C2211yescharacteristic
117C37×#387C2211yescharacteristic
118C37×#387C2211yescharacteristic
119C37×#387C2211yescharacteristic
120C37×#387C2211yescharacteristic
121C37×#387C2211yescharacteristic
122C37×#387C2211yescharacteristic
123C37×#387C2211yescharacteristic
124C37×#386C2211yescharacteristic
125C37×#386C2211yescharacteristic
126C37×#386C2211yescharacteristic
127C37×#386C2211yescharacteristic
128C37×#386C2211yescharacteristic
129C37×#386C2211yescharacteristic
130C37×#386C2211yescharacteristic
131C37×#386C2211yescharacteristic
132C37×#385C2211yescharacteristic
133C37×#385C2211yescharacteristic
134C37×#385C2211yescharacteristic
135C37×#385C2211yescharacteristic
136C37×#385C2211yescharacteristic
137C37×#385C2211yescharacteristic
138C37×#385C2211yescharacteristic
139C37×#385C2211yescharacteristic
140C37×#385C2211yescharacteristic
141C37×#385C2211yescharacteristic
142C37×#383C2211yescharacteristic
143C37×#383C2211yescharacteristic
144C37×#382C2211yescharacteristic
145C37×#382C2211yescharacteristic
146C37×#382C2211yescharacteristic
147C37×#382C2211yescharacteristic
148C37×#381C2211yescharacteristic
149C37×#381C2211yescharacteristic
150C37×#380C2211yescharacteristic
151C37×#380C2211yescharacteristic
152C37×#380C2211yescharacteristic
153C37×#380C2211yescharacteristic
154C4×C4⋊C4×C37C2211yescharacteristic
155C4×C4⋊C4×C37C2211yescharacteristic
156C4×C4⋊C4×C37C2211yescharacteristic
157C4×C4⋊C4×C37C2211yescharacteristic
158C4×C4⋊C4×C37C2211yescharacteristic
159C4×C4⋊C4×C37C2211yescharacteristic
160C4×C4⋊C4×C37C2211yescharacteristic
161C4×C4⋊C4×C37C2211yescharacteristic
162C4×C4⋊C4×C37C2211yescharacteristic
163C4×C4⋊C4×C37C2211yescharacteristic
164C4×C22⋊C4×C37C2211yescharacteristic
165C4×C22⋊C4×C37C2211yescharacteristic
166C4×C22⋊C4×C37C2211yescharacteristic
167C4×C22⋊C4×C37C2211yescharacteristic
168C4×C22⋊C4×C37C2211yescharacteristic
169C4×C22⋊C4×C37C2211yescharacteristic
170C4×C22⋊C4×C37C2211yescharacteristic
171C4×C22⋊C4×C37C2211yescharacteristic
172C4×C22⋊C4×C37C2211yescharacteristic
173C4×C22⋊C4×C37C2211yescharacteristic
174C4×C22⋊C4×C37C2211yescharacteristic
175C4×C22⋊C4×C37C2211yescharacteristic
176C4×C22⋊C4×C37C2211yescharacteristic
177C4×C22⋊C4×C37C2211yescharacteristic
178C4×C22⋊C4×C37C2211yescharacteristic
179C4×C22⋊C4×C37C2211yescharacteristic
180C37×#376C2211yescharacteristic
181C37×#376C2211yescharacteristic
182C37×#376C2211yescharacteristic
183C37×#376C2211yescharacteristic
184C37×#376C2211yescharacteristic
185C2×#95×C37C2211yescharacteristic
186C2×#95×C37C2211yescharacteristic
187C43×C37C2211yescharacteristic
188C22×Q8×C37C2311yescharacteristic
189C22×Q8×C37C2311yescharacteristic
190C22×Q8×C37C2311yescharacteristic
191C22×D4×C37C2311yescharacteristic
192C22×D4×C37C2311yescharacteristic
193C22×D4×C37C2311yescharacteristic
194C23×C4×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
203C4⋊Q8×C37C2×C418yescomplemented
204#126×C37C2×C418yescomplemented
205#126×C37C2×C418yescomplemented
206#124×C37C2×C418yescomplemented
207#124×C37C2×C418yescomplemented
208#124×C37C2×C418yescomplemented
209#123×C37C2×C418yescomplemented
210#123×C37C2×C418yescomplemented
211C22⋊Q8×C37C2×C418yescomplemented
212C22⋊Q8×C37C2×C418yescomplemented
213C22⋊Q8×C37C2×C418yescomplemented
214#121×C37C2×C418yes—
215C4×Q8×C37—42no—
216C4×Q8×C37—42no—
217C4×Q8×C37C2×C418yescomplemented
218C4×D4×C37—42no—
219C4×D4×C37—42no—
220C4×D4×C37C2×C418yescomplemented
221#117×C37—42no—
222#117×C37C2×C418yescomplemented
223C2×C4⋊C4×C37—42no—
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×C4⋊C4×C37C2311yescharacteristic
254C2×C4⋊C4×C37C2311yescharacteristic
255C2×C4⋊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×C42×C37C2311yescharacteristic
287C2×C42×C37C2311yescharacteristic
288C2×C42×C37C2311yescharacteristic
289C2×C42×C37C2311yescharacteristic
290C2×C42×C37C2311yescharacteristic
291C2×C42×C37C2311yescharacteristic
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
301C2×C42×C37C2311yescharacteristic
302C2×C42×C37C2311yescharacteristic
303C2×C42×C37C2311yescharacteristic
304C2×C42×C37C2311yescharacteristic
305C2×C42×C37C2311yescharacteristic
306C2×C42×C37C2311yescharacteristic
307C2×C42×C37C2311yescharacteristic
308C2×C42×C37C2311yescharacteristic
309C2×C42×C37C2311yescharacteristic
310C2×C42×C37C2311yescharacteristic
311C2×C42×C37C2311yescharacteristic
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
357#95×C37C2311yescharacteristic
358#95×C37C2311yescharacteristic
359#95×C37C2311yescharacteristic
360#95×C37C2311yescharacteristic
361#95×C37C2311yescharacteristic
362#95×C37C2311yescharacteristic
363#95×C37C2311yescharacteristic
364C24×C37C2411yescharacteristic
365C24×C37C2411yescharacteristic
366C24×C37C2411yescharacteristic
367C2×Q8×C37—41no—
368C2×Q8×C37—41no—
369C2×Q8×C37—41no—
370C2×Q8×C37—41no—
371C2×Q8×C37—41no—
372C2×Q8×C37—41no—
373C2×Q8×C37C22×C414yes—
374C2×Q8×C37C22×C414yes—
375C2×Q8×C37C22×C414yes—
376C2×D4×C37—41no—
377C2×D4×C37—41no—
378C2×D4×C37—41no—
379C2×D4×C37—41no—
380C2×D4×C37—41no—
381C2×D4×C37—41no—
382C2×D4×C37C22×C414yes—
383C2×D4×C37C22×C414yes—
384C2×D4×C37C22×C414yes—
385C22×C4×C37—22no—
386C22×C4×C37—22no—
387C22×C4×C37—22no—
388C22×C4×C37—41no—
389C22×C4×C37—41no—
390C22×C4×C37—41no—
391C22×C4×C37—41no—
392C22×C4×C37—41no—
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×C37C22×C414yes—
410C22×C4×C37C22×C414yes—
411C22×C4×C37C22×C414yes—
412C22×C4×C37C2411yescharacteristic
413C22×C4×C37C2411yescharacteristic
414C22×C4×C37C2411yescharacteristic
415C22×C4×C37C2411yescharacteristic
416C22×C4×C37C2411yescharacteristic
417C22×C4×C37C2411yescharacteristic
418C22×C4×C37C2411yescharacteristic
419C22×C4×C37C2411yescharacteristic
420C22×C4×C37C2411yescharacteristic
421C22×C4×C37C2411yescharacteristic
422C22×C4×C37C2411yescharacteristic
423C22×C4×C37C2411yescharacteristic
424C22×C4×C37C2411yescharacteristic
425C22×C4×C37C2411yescharacteristic
426C22×C4×C37C2411yescharacteristic
427C22×C4×C37C2411yescharacteristic
428C22×C4×C37C2411yescharacteristic
429C22×C4×C37C2411yescharacteristic
430C22×C4×C37C2411yescharacteristic
431C22×C4×C37C2411yescharacteristic
432C22×C4×C37C2411yescharacteristic
433C22×C4×C37C2411yescharacteristic
434C22×C4×C37C2411yescharacteristic
435C22×C4×C37C2411yescharacteristic
436C22×C4×C37C2411yescharacteristic
437C22×C4×C37C2411yescharacteristic
438C22×C4×C37C2411yescharacteristic
439C22×C4×C37C2411yescharacteristic
440C4⋊C4×C37—22no—
441C4⋊C4×C37—22no—
442C4⋊C4×C37—22no—
443C4⋊C4×C37—41no—
444C4⋊C4×C37—41no—
445C4⋊C4×C37—41no—
446C4⋊C4×C37—41no—
447C4⋊C4×C37—41no—
448C4⋊C4×C37—41no—
449C4⋊C4×C37—41no—
450C4⋊C4×C37—41no—
451C4⋊C4×C37—41no—
452C4⋊C4×C37—41no—
453C4⋊C4×C37—41no—
454C4⋊C4×C37—41no—
455C4⋊C4×C37—41no—
456C4⋊C4×C37—41no—
457C4⋊C4×C37—41no—
458C4⋊C4×C37—41no—
459C4⋊C4×C37—41no—
460C4⋊C4×C37—41no—
461C4⋊C4×C37—41no—
462C4⋊C4×C37C22×C414yes—
463C4⋊C4×C37C22×C414yes—
464C4⋊C4×C37C22×C414yes—
465C4⋊C4×C37C22×C414yes—
466C4⋊C4×C37C22×C414yes—
467C4⋊C4×C37C22×C414yes—
468C4⋊C4×C37C22×C414yes—
469C4⋊C4×C37C22×C414yes—
470C4⋊C4×C37C22×C414yes—
471C4⋊C4×C37C22×C414yes—
472C22⋊C4×C37—22no—
473C22⋊C4×C37—22no—
474C22⋊C4×C37—22no—
475C22⋊C4×C37—41no—
476C22⋊C4×C37—41no—
477C22⋊C4×C37—41no—
478C22⋊C4×C37—41no—
479C22⋊C4×C37—41no—
480C22⋊C4×C37—41no—
481C22⋊C4×C37—41no—
482C22⋊C4×C37—41no—
483C22⋊C4×C37—41no—
484C22⋊C4×C37—41no—
485C22⋊C4×C37—41no—
486C22⋊C4×C37—41no—
487C22⋊C4×C37—41no—
488C22⋊C4×C37—41no—
489C22⋊C4×C37—41no—
490C22⋊C4×C37C22×C414yes—
491C22⋊C4×C37C22×C414yes—
492C22⋊C4×C37C22×C414yes—
493C22⋊C4×C37C22×C414yes—
494C22⋊C4×C37C22×C414yes—
495C22⋊C4×C37C22×C414yes—
496C22⋊C4×C37C22×C414yes—
497C22⋊C4×C37C22×C414yes—
498C22⋊C4×C37C22×C414yes—
499C22⋊C4×C37C22×C414yes—
500C22⋊C4×C37C22×C414yes—
501C22⋊C4×C37C22×C414yes—
502C42×C37—22no—
503C42×C37—22no—
504C42×C37—22no—
505C42×C37—22no—
506C42×C37—22no—
507C42×C37—41no—
508C42×C37—41no—
509C42×C37—41no—
510C42×C37—41no—
511C42×C37—41no—
512C42×C37—41no—
513C42×C37—41no—
514C42×C37—41no—
515C42×C37—41no—
516C42×C37—41no—
517C42×C37—41no—
518C42×C37—41no—
519C42×C37—41no—
520C42×C37—41no—
521C42×C37—41no—
522C42×C37—41no—
523C42×C37—41no—
524C42×C37C22×C414yes—
525C42×C37C22×C414yes—
526C42×C37C22×C414yes—
527C42×C37C22×C414yes—
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×C37C23×C412yes—
547C23×C37C23×C412yes—
548C23×C37C23×C412yes—
549C23×C37C2511yescharacteristic
550Q8×C37—44no—
551Q8×C37—44no—
552Q8×C37—44no—
553D4×C37—44no—
554D4×C37—44no—
555D4×C37—44no—
556C2×C4×C37—21no—
557C2×C4×C37—21no—
558C2×C4×C37—21no—
559C2×C4×C37—21no—
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—44no—
627C2×C4×C37—44no—
628C2×C4×C37—44no—
629C2×C4×C37—82no—
630C2×C4×C37—82no—
631C2×C4×C37—82no—
632C2×C4×C37—82no—
633C2×C4×C37—82no—
634C2×C4×C37—82no—
635C2×C4×C37C23×C412yes—
636C2×C4×C37C23×C412yes—
637C2×C4×C37C23×C412yes—
638C2×C4×C37C23×C412yes—
639C2×C4×C37C23×C412yes—
640C2×C4×C37C23×C412yes—
641C2×C4×C37C23×C412yes—
642C2×C4×C37C23×C412yes—
643C2×C4×C37C23×C412yes—
644C2×C4×C37C23×C412yes—
645C2×C4×C37C23×C412yes—
646C2×C4×C37C23×C412yes—
647C2×C4×C37H(5,𝔽2)12yes—
648C2×C4×C372−1+412yes—
649#34447C3711yesmaximal, characteristic, direct product factor, Sylow
650C22×C37—22no—
651C22×C37—22no—
652C22×C37—22no—
653C22×C37—22no—
654C22×C37—22no—
655C22×C37—22no—
656C22×C37—22no—
657C22×C37—22no—
658C22×C37—22no—
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×C37C24×C411yescharacteristic
672C22×C37C2×H(5,𝔽2)11yescharacteristic
673C22×C37C2×2−1+411yescharacteristic
674C22×C37#58511yescharacteristic
675C22×C37#58511yescharacteristic
676C22×C37#58511yescharacteristic
677C22×C37#58511yescharacteristic
678C4×C37—22no—
679C4×C37—22no—
680C4×C37—22no—
681C4×C37—22no—
682C4×C37—22no—
683C4×C37—22no—
684C4×C37—22no—
685C4×C37—22no—
686C4×C37—22no—
687C4×C37—22no—
688C4×C37—22no—
689C4×C37—22no—
690C4×C37—22no—
691C4×C37—22no—
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—
706C2×#542C2×C3711yescharacteristic
707#2379C2×C3711yescharacteristic, complemented
708#2378C2×C3711yescharacteristic, complemented
709#2378C2×C3711yescharacteristic, complemented
710#2376C2×C3711yescharacteristic, complemented
711#2373C2×C3711yescharacteristic, complemented
712#2373C2×C3711yescharacteristic, complemented
713#2372C2×C3711yescharacteristic, complemented
714#2372C2×C3711yescharacteristic, complemented
715#2368C2×C3711yescharacteristic, complemented
716#2367C2×C3711yescharacteristic, complemented
717#2360C2×C3711yescharacteristic, complemented
718#2359C2×C3711yescharacteristic, complemented
719#2353C2×C3711yescharacteristic, complemented
720#2352C2×C3711yescharacteristic, complemented
721#2346C2×C3711yescharacteristic, complemented
722#2343C2×C3711yescharacteristic, complemented
723#2337C2×C3711yescharacteristic, complemented
724#2335C2×C3711yescharacteristic, complemented
725#2334C2×C3711yescharacteristic, complemented
726#2333C2×C3711yescharacteristic
727#2331C2×C3711yescharacteristic, complemented
728#2329C2×C3711yescharacteristic, complemented
729#2327C2×C3711yescharacteristic, complemented
730#2325C2×C3711yescharacteristic
731#2323C2×C3711yescharacteristic, complemented
732#2322C2×C3711yescharacteristic, complemented
733#2320C2×C3711yescharacteristic, complemented
734C4×#126C2×C3711yescharacteristic, complemented
735C4×#124C2×C3711yescharacteristic, complemented
736#2295C2×C3711yescharacteristic, complemented
737C2×C37—42no—
738C2×C37—42no—
739C2×C37—42no—
740C2×C37#342811yescharacteristic
741C2×C37C4×H(5,𝔽2)11yescharacteristic
742C2×C37C4×2−1+411yescharacteristic
743C2×C37#354511yescharacteristic
744C2×C37#354711yescharacteristic
745C2×C37#356411yescharacteristic
746C2×C37#356611yescharacteristic
747#542C4×C37116yescomplemented
748C2×C4⋊Q8C22×C3711yescharacteristic
749C2×#126C22×C3711yescharacteristic
750C2×#126C22×C3711yescharacteristic
751C2×#124C22×C3711yescharacteristic
752C2×#124C22×C3711yescharacteristic
753C2×#124C22×C3711yescharacteristic
754C2×#123C22×C3711yescharacteristic
755C2×#123C22×C3711yescharacteristic
756C2×C22⋊Q8C22×C3711yescharacteristic
757C2×C22⋊Q8C22×C3711yescharacteristic
758C2×C22⋊Q8C22×C3711yescharacteristic
759C2×#121C22×C3711yescharacteristic
760C2×C4×Q8C22×C3711yescharacteristic
761C2×C4×Q8C22×C3711yescharacteristic
762C2×C4×Q8C22×C3711yescharacteristic
763C2×C4×D4C22×C3711yescharacteristic
764C2×C4×D4C22×C3711yescharacteristic
765C2×C4×D4C22×C3711yescharacteristic
766C2×#117C22×C3711yescharacteristic
767C2×#117C22×C3711yescharacteristic
768C22×C4⋊C4C22×C3711yescharacteristic
769#391C22×C3711yescharacteristic
770#391C22×C3711yescharacteristic
771#391C22×C3711yescharacteristic
772#391C22×C3711yescharacteristic
773#391C22×C3711yescharacteristic
774#391C22×C3711yescharacteristic
775#391C22×C3711yescharacteristic
776#391C22×C3711yescharacteristic
777#391C22×C3711yescharacteristic
778#391C22×C3711yescharacteristic
779#390C22×C3711yescharacteristic
780#390C22×C3711yescharacteristic
781#389C22×C3711yescharacteristic
782#389C22×C3711yescharacteristic
783#389C22×C3711yescharacteristic
784#389C22×C3711yescharacteristic
785#389C22×C3711yescharacteristic
786#389C22×C3711yescharacteristic
787#389C22×C3711yescharacteristic
788#389C22×C3711yescharacteristic
789#389C22×C3711yescharacteristic
790#389C22×C3711yescharacteristic
791#388C22×C3711yescharacteristic
792#388C22×C3711yescharacteristic
793#388C22×C3711yescharacteristic
794#388C22×C3711yescharacteristic
795#388C22×C3711yescharacteristic
796#388C22×C3711yescharacteristic
797#388C22×C3711yescharacteristic
798#388C22×C3711yescharacteristic
799#388C22×C3711yescharacteristic
800#388C22×C3711yescharacteristic
801#388C22×C3711yescharacteristic
802#388C22×C3711yescharacteristic
803#388C22×C3711yescharacteristic
804#388C22×C3711yescharacteristic
805#388C22×C3711yescharacteristic
806#388C22×C3711yescharacteristic
807#388C22×C3711yescharacteristic
808#388C22×C3711yescharacteristic
809#388C22×C3711yescharacteristic
810#388C22×C3711yescharacteristic
811#388C22×C3711yescharacteristic
812#388C22×C3711yescharacteristic
813#388C22×C3711yescharacteristic
814#388C22×C3711yescharacteristic
815#387C22×C3711yescharacteristic
816#387C22×C3711yescharacteristic
817#387C22×C3711yescharacteristic
818#387C22×C3711yescharacteristic
819#387C22×C3711yescharacteristic
820#387C22×C3711yescharacteristic
821#387C22×C3711yescharacteristic
822#387C22×C3711yescharacteristic
823#387C22×C3711yescharacteristic
824#387C22×C3711yescharacteristic
825#387C22×C3711yescharacteristic
826#387C22×C3711yescharacteristic
827#387C22×C3711yescharacteristic
828#387C22×C3711yescharacteristic
829#387C22×C3711yescharacteristic
830#387C22×C3711yescharacteristic
831#387C22×C3711yescharacteristic
832#387C22×C3711yescharacteristic
833#387C22×C3711yescharacteristic
834#387C22×C3711yescharacteristic
835#387C22×C3711yescharacteristic
836#387C22×C3711yescharacteristic
837#387C22×C3711yescharacteristic
838#387C22×C3711yescharacteristic
839#386C22×C3711yescharacteristic
840#386C22×C3711yescharacteristic
841#386C22×C3711yescharacteristic
842#386C22×C3711yescharacteristic
843#386C22×C3711yescharacteristic
844#386C22×C3711yescharacteristic
845#386C22×C3711yescharacteristic
846#386C22×C3711yescharacteristic
847#385C22×C3711yescharacteristic
848#385C22×C3711yescharacteristic
849#385C22×C3711yescharacteristic
850#385C22×C3711yescharacteristic
851#385C22×C3711yescharacteristic
852#385C22×C3711yescharacteristic
853#385C22×C3711yescharacteristic
854#385C22×C3711yescharacteristic
855#385C22×C3711yescharacteristic
856#385C22×C3711yescharacteristic
857#383C22×C3711yescharacteristic
858#383C22×C3711yescharacteristic
859#382C22×C3711yescharacteristic
860#382C22×C3711yescharacteristic
861#382C22×C3711yescharacteristic
862#382C22×C3711yescharacteristic
863#381C22×C3711yescharacteristic
864#381C22×C3711yescharacteristic
865#380C22×C3711yescharacteristic
866#380C22×C3711yescharacteristic
867#380C22×C3711yescharacteristic
868#380C22×C3711yescharacteristic
869C4×C4⋊C4C22×C3711yescharacteristic
870C4×C4⋊C4C22×C3711yescharacteristic
871C4×C4⋊C4C22×C3711yescharacteristic
872C4×C4⋊C4C22×C3711yescharacteristic
873C4×C4⋊C4C22×C3711yescharacteristic
874C4×C4⋊C4C22×C3711yescharacteristic
875C4×C4⋊C4C22×C3711yescharacteristic
876C4×C4⋊C4C22×C3711yescharacteristic
877C4×C4⋊C4C22×C3711yescharacteristic
878C4×C4⋊C4C22×C3711yescharacteristic
879C4×C22⋊C4C22×C3711yescharacteristic
880C4×C22⋊C4C22×C3711yescharacteristic
881C4×C22⋊C4C22×C3711yescharacteristic
882C4×C22⋊C4C22×C3711yescharacteristic
883C4×C22⋊C4C22×C3711yescharacteristic
884C4×C22⋊C4C22×C3711yescharacteristic
885C4×C22⋊C4C22×C3711yescharacteristic
886C4×C22⋊C4C22×C3711yescharacteristic
887C4×C22⋊C4C22×C3711yescharacteristic
888C4×C22⋊C4C22×C3711yescharacteristic
889C4×C22⋊C4C22×C3711yescharacteristic
890C4×C22⋊C4C22×C3711yescharacteristic
891C4×C22⋊C4C22×C3711yescharacteristic
892C4×C22⋊C4C22×C3711yescharacteristic
893C4×C22⋊C4C22×C3711yescharacteristic
894C4×C22⋊C4C22×C3711yescharacteristic
895#376C22×C3711yescharacteristic
896#376C22×C3711yescharacteristic
897#376C22×C3711yescharacteristic
898#376C22×C3711yescharacteristic
899#376C22×C3711yescharacteristic
900C2×#95C22×C3711yescharacteristic
901C2×#95C22×C3711yescharacteristic
902C43C22×C3711yescharacteristic
903C37#3444711yescharacteristic, direct product factor, Sylow
904C22×Q8C23×C3711yescharacteristic
905C22×Q8C23×C3711yescharacteristic
906C22×Q8C23×C3711yescharacteristic
907C22×D4C23×C3711yescharacteristic
908C22×D4C23×C3711yescharacteristic
909C22×D4C23×C3711yescharacteristic
910C23×C4C23×C3711yescharacteristic
911C23×C4C23×C3711yescharacteristic
912C23×C4C23×C3711yescharacteristic
913C23×C4C23×C3711yescharacteristic
914C23×C4C23×C3711yescharacteristic
915C23×C4C23×C3711yescharacteristic
916C23×C4C23×C3711yescharacteristic
917C23×C4C23×C3711yescharacteristic
918C23×C4C23×C3711yescharacteristic
919C4⋊Q8C2×C4×C3718yescomplemented
920#126C2×C4×C3718yescomplemented
921#126C2×C4×C3718yescomplemented
922#124C2×C4×C3718yescomplemented
923#124C2×C4×C3718yescomplemented
924#124C2×C4×C3718yescomplemented
925#123C2×C4×C3718yescomplemented
926#123C2×C4×C3718yescomplemented
927C22⋊Q8C2×C4×C3718yescomplemented
928C22⋊Q8C2×C4×C3718yescomplemented
929C22⋊Q8C2×C4×C3718yescomplemented
930#121C2×C4×C3718yes—
931C4×Q8—42no—
932C4×Q8—42no—
933C4×Q8C2×C4×C3718yescomplemented
934C4×D4—42no—
935C4×D4—42no—
936C4×D4C2×C4×C3718yescomplemented
937#117—42no—
938#117C2×C4×C3718yescomplemented
939C2×C4⋊C4—42no—
940C2×C4⋊C4C23×C3711yescharacteristic
941C2×C4⋊C4C23×C3711yescharacteristic
942C2×C4⋊C4C23×C3711yescharacteristic
943C2×C4⋊C4C23×C3711yescharacteristic
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×C22⋊C4C23×C3711yescharacteristic
973C2×C22⋊C4C23×C3711yescharacteristic
974C2×C22⋊C4C23×C3711yescharacteristic
975C2×C22⋊C4C23×C3711yescharacteristic
976C2×C22⋊C4C23×C3711yescharacteristic
977C2×C22⋊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×C42C23×C3711yescharacteristic
1003C2×C42C23×C3711yescharacteristic
1004C2×C42C23×C3711yescharacteristic
1005C2×C42C23×C3711yescharacteristic
1006C2×C42C23×C3711yescharacteristic
1007C2×C42C23×C3711yescharacteristic
1008C2×C42C23×C3711yescharacteristic
1009C2×C42C23×C3711yescharacteristic
1010C2×C42C23×C3711yescharacteristic
1011C2×C42C23×C3711yescharacteristic
1012C2×C42C23×C3711yescharacteristic
1013C2×C42C23×C3711yescharacteristic
1014C2×C42C23×C3711yescharacteristic
1015C2×C42C23×C3711yescharacteristic
1016C2×C42C23×C3711yescharacteristic
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
1026C2×C42C23×C3711yescharacteristic
1027C2×C42C23×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
1080C24C24×C3711yescharacteristic
1081C24C24×C3711yescharacteristic
1082C24C24×C3711yescharacteristic
1083C2×Q8—41no—
1084C2×Q8—41no—
1085C2×Q8—41no—
1086C2×Q8—41no—
1087C2×Q8—41no—
1088C2×Q8—41no—
1089C2×Q8C22×C4×C3714yes—
1090C2×Q8C22×C4×C3714yes—
1091C2×Q8C22×C4×C3714yes—
1092C2×D4—41no—
1093C2×D4—41no—
1094C2×D4—41no—
1095C2×D4—41no—
1096C2×D4—41no—
1097C2×D4—41no—
1098C2×D4C22×C4×C3714yes—
1099C2×D4C22×C4×C3714yes—
1100C2×D4C22×C4×C3714yes—
1101C22×C4—22no—
1102C22×C4—22no—
1103C22×C4—22no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—41no—
1116C22×C4—41no—
1117C22×C4—41no—
1118C22×C4—41no—
1119C22×C4—41no—
1120C22×C4—41no—
1121C22×C4—41no—
1122C22×C4—41no—
1123C22×C4—41no—
1124C22×C4—41no—
1125C22×C4C22×C4×C3714yes—
1126C22×C4C22×C4×C3714yes—
1127C22×C4C22×C4×C3714yes—
1128C22×C4C24×C3711yescharacteristic
1129C22×C4C24×C3711yescharacteristic
1130C22×C4C24×C3711yescharacteristic
1131C22×C4C24×C3711yescharacteristic
1132C22×C4C24×C3711yescharacteristic
1133C22×C4C24×C3711yescharacteristic
1134C22×C4C24×C3711yescharacteristic
1135C22×C4C24×C3711yescharacteristic
1136C22×C4C24×C3711yescharacteristic
1137C22×C4C24×C3711yescharacteristic
1138C22×C4C24×C3711yescharacteristic
1139C22×C4C24×C3711yescharacteristic
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
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—41no—
1160C4⋊C4—41no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C4⋊C4—41no—
1176C4⋊C4—41no—
1177C4⋊C4—41no—
1178C4⋊C4C22×C4×C3714yes—
1179C4⋊C4C22×C4×C3714yes—
1180C4⋊C4C22×C4×C3714yes—
1181C4⋊C4C22×C4×C3714yes—
1182C4⋊C4C22×C4×C3714yes—
1183C4⋊C4C22×C4×C3714yes—
1184C4⋊C4C22×C4×C3714yes—
1185C4⋊C4C22×C4×C3714yes—
1186C4⋊C4C22×C4×C3714yes—
1187C4⋊C4C22×C4×C3714yes—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—41no—
1192C22⋊C4—41no—
1193C22⋊C4—41no—
1194C22⋊C4—41no—
1195C22⋊C4—41no—
1196C22⋊C4—41no—
1197C22⋊C4—41no—
1198C22⋊C4—41no—
1199C22⋊C4—41no—
1200C22⋊C4—41no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4C22×C4×C3714yes—
1207C22⋊C4C22×C4×C3714yes—
1208C22⋊C4C22×C4×C3714yes—
1209C22⋊C4C22×C4×C3714yes—
1210C22⋊C4C22×C4×C3714yes—
1211C22⋊C4C22×C4×C3714yes—
1212C22⋊C4C22×C4×C3714yes—
1213C22⋊C4C22×C4×C3714yes—
1214C22⋊C4C22×C4×C3714yes—
1215C22⋊C4C22×C4×C3714yes—
1216C22⋊C4C22×C4×C3714yes—
1217C22⋊C4C22×C4×C3714yes—
1218C42—22no—
1219C42—22no—
1220C42—22no—
1221C42—22no—
1222C42—22no—
1223C42—41no—
1224C42—41no—
1225C42—41no—
1226C42—41no—
1227C42—41no—
1228C42—41no—
1229C42—41no—
1230C42—41no—
1231C42—41no—
1232C42—41no—
1233C42—41no—
1234C42—41no—
1235C42—41no—
1236C42—41no—
1237C42—41no—
1238C42—41no—
1239C42—41no—
1240C42C22×C4×C3714yes—
1241C42C22×C4×C3714yes—
1242C42C22×C4×C3714yes—
1243C42C22×C4×C3714yes—
1244C23—21no—
1245C23—21no—
1246C23—21no—
1247C23—21no—
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—
1262C23C23×C4×C3712yes—
1263C23C23×C4×C3712yes—
1264C23C23×C4×C3712yes—
1265C23C25×C3711yescharacteristic
1266Q8—44no—
1267Q8—44no—
1268Q8—44no—
1269D4—44no—
1270D4—44no—
1271D4—44no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—21no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—21no—
1279C2×C4—21no—
1280C2×C4—21no—
1281C2×C4—21no—
1282C2×C4—21no—
1283C2×C4—21no—
1284C2×C4—21no—
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—44no—
1343C2×C4—44no—
1344C2×C4—44no—
1345C2×C4—82no—
1346C2×C4—82no—
1347C2×C4—82no—
1348C2×C4—82no—
1349C2×C4—82no—
1350C2×C4—82no—
1351C2×C4C23×C4×C3712yes—
1352C2×C4C23×C4×C3712yes—
1353C2×C4C23×C4×C3712yes—
1354C2×C4C23×C4×C3712yes—
1355C2×C4C23×C4×C3712yes—
1356C2×C4C23×C4×C3712yes—
1357C2×C4C23×C4×C3712yes—
1358C2×C4C23×C4×C3712yes—
1359C2×C4C23×C4×C3712yes—
1360C2×C4C23×C4×C3712yes—
1361C2×C4C23×C4×C3712yes—
1362C2×C4C23×C4×C3712yes—
1363C2×C4H(5,𝔽2)×C3712yes—
1364C2×C42−1+4×C3712yes—
1365C22—22no—
1366C22—22no—
1367C22—22no—
1368C22—22no—
1369C22—22no—
1370C22—22no—
1371C22—22no—
1372C22—22no—
1373C22—22no—
1374C22—41no—
1375C22—41no—
1376C22—41no—
1377C22—41no—
1378C22—41no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—41no—
1386C22C24×C4×C3711yescharacteristic
1387C22C2×H(5,𝔽2)×C3711yescharacteristic
1388C22C2×2−1+4×C3711yescharacteristic
1389C22C37×#58511yescharacteristic
1390C22C37×#58511yescharacteristic
1391C22C37×#58511yescharacteristic
1392C22C37×#58511yescharacteristic
1393C4—22no—
1394C4—22no—
1395C4—22no—
1396C4—22no—
1397C4—22no—
1398C4—22no—
1399C4—22no—
1400C4—22no—
1401C4—22no—
1402C4—22no—
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—22no—
1407C4—41no—
1408C4—41no—
1409C4—41no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—41no—
1414C4—41no—
1415C4—41no—
1416C4—41no—
1417C4—41no—
1418C4—41no—
1419C4—41no—
1420C4—41no—
1421C2—42no—
1422C2—42no—
1423C2—42no—
1424C2C37×#342811yescharacteristic
1425C2C4×H(5,𝔽2)×C3711yescharacteristic
1426C2C4×2−1+4×C3711yescharacteristic
1427C2C37×#354511yescharacteristic
1428C2C37×#354711yescharacteristic
1429C2C37×#356411yescharacteristic
1430C2C37×#356611yescharacteristic
subgroupG/H
center, socleC23×C37C25
commutatorC22C24×C4×C37
Frattini, cosocleC23C25×C37
prime radicalC2×#121×C37C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C37 ◁ G

Complements

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

NH ≅ G/Ntype
2. C37×#2379C2semidirect
3. C37×#2378C2semidirect
4. C37×#2378C2semidirect
5. C37×#2376C2semidirect
6. C37×#2373C2semidirect
7. C37×#2373C2semidirect
8. C37×#2372C2semidirect
9. C37×#2372C2semidirect
10. C37×#2368C2semidirect
11. C37×#2367C2semidirect
12. C37×#2360C2semidirect
13. C37×#2359C2semidirect
14. C37×#2353C2semidirect
15. C37×#2352C2semidirect
16. C37×#2346C2semidirect
17. C37×#2343C2semidirect
18. C37×#2337C2semidirect
19. C37×#2335C2semidirect
20. C37×#2334C2semidirect
22. C37×#2331C2semidirect
23. C37×#2329C2semidirect
24. C37×#2327C2semidirect
26. C37×#2323C2semidirect
27. C37×#2322C2semidirect
28. C37×#2320C2semidirect
29. C4×#126×C37C2semidirect
30. C4×#124×C37C2semidirect
31. C37×#2295C2semidirect
32. C37×#542C4semidirect
203. C4⋊Q8×C37C2×C4semidirect
204. #126×C37C2×C4semidirect
205. #126×C37C2×C4semidirect
206. #124×C37C2×C4semidirect
207. #124×C37C2×C4semidirect
208. #124×C37C2×C4semidirect
209. #123×C37C2×C4semidirect
210. #123×C37C2×C4semidirect
211. C22⋊Q8×C37C2×C4semidirect
212. C22⋊Q8×C37C2×C4semidirect
213. C22⋊Q8×C37C2×C4semidirect
217. C4×Q8×C37C2×C4semidirect
220. C4×D4×C37C2×C4semidirect
222. #117×C37C2×C4semidirect
649. #34447C37direct (N × H)
707. #2379C2×C37semidirect
708. #2378C2×C37semidirect
709. #2378C2×C37semidirect
710. #2376C2×C37semidirect
711. #2373C2×C37semidirect
712. #2373C2×C37semidirect
713. #2372C2×C37semidirect
714. #2372C2×C37semidirect
715. #2368C2×C37semidirect
716. #2367C2×C37semidirect
717. #2360C2×C37semidirect
718. #2359C2×C37semidirect
719. #2353C2×C37semidirect
720. #2352C2×C37semidirect
721. #2346C2×C37semidirect
722. #2343C2×C37semidirect
723. #2337C2×C37semidirect
724. #2335C2×C37semidirect
725. #2334C2×C37semidirect
727. #2331C2×C37semidirect
728. #2329C2×C37semidirect
729. #2327C2×C37semidirect
731. #2323C2×C37semidirect
732. #2322C2×C37semidirect
733. #2320C2×C37semidirect
734. C4×#126C2×C37semidirect
735. C4×#124C2×C37semidirect
736. #2295C2×C37semidirect
747. #542C4×C37semidirect
903. C37#34447direct (N × H)
919. C4⋊Q8C2×C4×C37semidirect
920. #126C2×C4×C37semidirect
921. #126C2×C4×C37semidirect
922. #124C2×C4×C37semidirect
923. #124C2×C4×C37semidirect
924. #124C2×C4×C37semidirect
925. #123C2×C4×C37semidirect
926. #123C2×C4×C37semidirect
927. C22⋊Q8C2×C4×C37semidirect
928. C22⋊Q8C2×C4×C37semidirect
929. C22⋊Q8C2×C4×C37semidirect
933. C4×Q8C2×C4×C37semidirect
936. C4×D4C2×C4×C37semidirect
938. #117C2×C4×C37semidirect

Maximal subgroups

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

subgroupindex
C2×C37×#5422
C37×#23792
C37×#23782
C37×#23762
C37×#23732
C37×#23722
C37×#23682
C37×#23672
C37×#23602
C37×#23592
C37×#23532
C37×#23522
C37×#23462
C37×#23432
C37×#23372
C37×#23352
C37×#23342
C37×#23332
C37×#23312
C37×#23292
C37×#23272
C37×#23252
C37×#23232
C37×#23222
C37×#23202
C4×#126×C372
C4×#124×C372
C37×#22952
#3444737