Finite Group Databasebeta

← C37×#61681 #22682934

Subgroups — C37×#61681 #22682934

Order 9472.

2036 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3551C211yesmaximal, characteristic, complemented
2C37×#3497C211yesmaximal, characteristic, complemented
3C37×#3327C211yesmaximal, characteristic, complemented
4C37×#3326C211yesmaximal, characteristic, complemented
5C37×#3320C211yesmaximal, characteristic, complemented
6C37×#3317C211yesmaximal, characteristic, complemented
7C37×#3312C211yesmaximal, characteristic, complemented
8C37×#3309C211yesmaximal, characteristic, complemented
9C37×#3301C211yesmaximal, characteristic, complemented
10C37×#3300C211yesmaximal, characteristic, complemented
11C37×#3285C211yesmaximal, characteristic, complemented
12C37×#3282C211yesmaximal, characteristic, complemented
13C37×#3277C211yesmaximal, characteristic, complemented
14C37×#3275C211yesmaximal, characteristic, complemented
15C37×#3271C211yesmaximal, characteristic, complemented
16C37×#3270C211yesmaximal, characteristic, complemented
17C37×#3268C211yesmaximal, characteristic, complemented
18C37×#3266C211yesmaximal, characteristic, complemented
19C37×#3219C211yesmaximal, characteristic, complemented
20C37×#3212C211yesmaximal, characteristic, complemented
21C37×#3204C211yesmaximal, characteristic, complemented
22C37×#3203C211yesmaximal, characteristic, complemented
23C37×#3201C211yesmaximal, characteristic, complemented
24C37×#3198C211yesmaximal, characteristic, complemented
25C37×#3117C211yesmaximal, characteristic, complemented
26C37×#3108C211yesmaximal, characteristic, complemented
27C37×#3013C211yesmaximal, characteristic, complemented
28C37×#3013C211yesmaximal, characteristic, complemented
29C37×#3011C211yesmaximal, characteristic, complemented
30C37×#3010C211yesmaximal, characteristic, complemented
31C37×#2981C211yesmaximal, characteristic, complemented
32C2×2−1+4×C37C2211yescharacteristic
33C2×2−1+4×C37C2211yescharacteristic, complemented
34C2×#137×C37C2211yescharacteristic
35C2×#137×C37C2211yescharacteristic
36C2×#137×C37C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
38C2×#135×C37C2211yescharacteristic
39C2×#135×C37C2211yescharacteristic
40C22×Q16×C37C2211yescharacteristic, complemented
41C22×SD16×C37C2211yescharacteristic
42C37×#563—21no—
43C37×#560—21no—
44C37×#555—21no—
45C37×#553C2211yescharacteristic
46C37×#553C2211yescharacteristic
47C37×#552C2211yescharacteristic
48C37×#552C2211yescharacteristic
49C37×#551—21no—
50C37×#550—21no—
51C37×#550C2211yescharacteristic
52C37×#550C2211yescharacteristic, complemented
53D4×Q8×C37—21no—
54D4×Q8×C37C2211yescharacteristic
55D4×Q8×C37C2211yescharacteristic, complemented
56C37×#548—21no—
57C37×#548—21no—
58C37×#548C2211yescharacteristic
59C37×#548C2211yescharacteristic
60C37×#548C2211yescharacteristic
61C37×#548C2211yescharacteristic
62C37×#548C2211yescharacteristic, complemented
63C37×#548C2211yescharacteristic, complemented
64C37×#546C2211yescharacteristic
65C37×#546C2211yescharacteristic
66C37×#540—21no—
67C37×#540—21no—
68C37×#538—21no—
69C37×#538—21no—
70C37×#537—21no—
71C37×#537—21no—
72C37×#537C2211yescharacteristic
73C37×#537C2211yescharacteristic
74C37×#537C2211yescharacteristic
75C37×#537C2211yescharacteristic, complemented
76C37×#536C2211yescharacteristic
77C37×#535C2211yescharacteristic
78C37×#532—21no—
79C37×#532—21no—
80C37×#532C2211yescharacteristic
81C37×#532C2211yescharacteristic, complemented
82C37×#529C2211yescharacteristic
83C37×#529C2211yescharacteristic
84C2×C4×Q8×C37C2211yescharacteristic, complemented
85C37×#497C2211yescharacteristic
86C37×#496C2211yescharacteristic
87C37×#495C2211yescharacteristic
88C37×#495C2211yescharacteristic
89C37×#491C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#488C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic
94C37×#485C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#483C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic
100C37×#482C2211yescharacteristic, complemented
101C37×#481C2211yescharacteristic
102C37×#481C2211yescharacteristic, complemented
103C37×#480C2211yescharacteristic
104C37×#480C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#479C2211yescharacteristic, complemented
107C37×#479C2211yescharacteristic, complemented
108C37×#479C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic
110C37×#470C2211yescharacteristic, complemented
111C37×#469C2211yescharacteristic
112C37×#469C2211yescharacteristic
113C37×#468C2211yescharacteristic
114C37×#468C2211yescharacteristic
115C37×#468C2211yescharacteristic
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic
118C37×#467C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic
120C37×#466C2211yescharacteristic
121C37×#465C2211yescharacteristic
122C37×#465C2211yescharacteristic
123C37×#465C2211yescharacteristic
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic
126C37×#464C2211yescharacteristic
127C37×#464C2211yescharacteristic
128C37×#464C2211yescharacteristic
129C37×#464C2211yescharacteristic, complemented
130C37×#464C2211yescharacteristic, complemented
131C37×#463C2211yescharacteristic
132C37×#463C2211yescharacteristic
133C37×#462C2211yescharacteristic, complemented
134C37×#461C2211yescharacteristic
135C37×#460C2211yescharacteristic, complemented
136C37×#459C2211yescharacteristic
137C37×#452C2211yescharacteristic
138C37×#452C2211yescharacteristic
139C37×#452C2211yescharacteristic
140C37×#452C2211yescharacteristic
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#452C2211yescharacteristic, complemented
145C37×#452C2211yescharacteristic, complemented
146C37×#452C2211yescharacteristic, complemented
147C37×#451C2211yescharacteristic
148C37×#451C2211yescharacteristic
149C37×#451C2211yescharacteristic, complemented
150C37×#451C2211yescharacteristic, complemented
151C37×#451C2211yescharacteristic, complemented
152C37×#451C2211yescharacteristic, complemented
153C37×#451C2211yescharacteristic, complemented
154C37×#450C2211yescharacteristic
155C37×#449C2211yescharacteristic
156C37×#449C2211yescharacteristic
157C37×#449C2211yescharacteristic
158C37×#449C2211yescharacteristic
159C37×#449C2211yescharacteristic
160C37×#449C2211yescharacteristic
161C37×#449C2211yescharacteristic
162C37×#449C2211yescharacteristic
163C37×#449C2211yescharacteristic
164C37×#449C2211yescharacteristic
165C37×#448C2211yescharacteristic
166C37×#448C2211yescharacteristic
167C37×#448C2211yescharacteristic
168C37×#448C2211yescharacteristic
169C37×#448C2211yescharacteristic
170C37×#448C2211yescharacteristic
171C37×#448C2211yescharacteristic, complemented
172C37×#447C2211yescharacteristic
173C37×#441C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#440C2211yescharacteristic
176C37×#440C2211yescharacteristic
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×Q16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic
180C4×SD16×C37C2211yescharacteristic
181C37×#436C2211yescharacteristic
182C37×#436C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic
184C37×#435C2211yescharacteristic
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C8×D4×C37C2211yescharacteristic
188C8×D4×C37C2211yescharacteristic, complemented
189C37×#432C2211yescharacteristic, complemented
190C37×#431C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic
192C37×#419C2211yescharacteristic, complemented
193C37×#417C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic
196C37×#416C2211yescharacteristic, complemented
197C2×#103×C37C2211yescharacteristic, complemented
198C2×#103×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#408C2211yescharacteristic, complemented
202C37×#408C2211yescharacteristic, complemented
2032−1+4×C37—42no—
2042−1+4×C37—42no—
2052−1+4×C37—42no—
2062−1+4×C37—42no—
207C2×#41×C37—21no—
208C2×#41×C37—21no—
209C2×#41×C37—21no—
210C2×#41×C37—21no—
211C2×#41×C37—21no—
212C2×#41×C37—21no—
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C2×#41×C37C2311yescharacteristic
216C2×#41×C37C2311yescharacteristic
217C2×#41×C37C2311yescharacteristic
218C2×#41×C37C2311yescharacteristic
219C2×#41×C37C2311yescharacteristic
220C2×#41×C37C2311yescharacteristic
221C2×#41×C37C2311yescharacteristic
222C2×#41×C37C2311yescharacteristic
223C22×Q8×C37—21no—
224C22×Q8×C37—21no—
225C22×Q8×C37C2311yescharacteristic
226C22×Q8×C37C2311yescharacteristic
227C22×Q8×C37C2311yescharacteristic
228C22×Q8×C37C2311yescharacteristic
229C22×Q8×C37C2311yescharacteristic
230C22×Q8×C37C2311yescharacteristic
231C22×D4×C37C2311yescharacteristic
232#137×C37—42no—
233#137×C37—42no—
234#137×C37—42no—
235AGL(1,ℤ/8)×C37—42no—
236#135×C37—42no—
237#135×C37—42no—
238C2×Q16×C37—42no—
239C2×Q16×C37C2311yescharacteristic
240C2×Q16×C37C2311yescharacteristic
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×Q16×C37C2311yescharacteristic
246C2×Q16×C37C2311yescharacteristic
247C2×SD16×C37—42no—
248C2×SD16×C37C2311yescharacteristic
249C2×SD16×C37C2311yescharacteristic
250C2×SD16×C37C2311yescharacteristic
251C2×SD16×C37C2311yescharacteristic
252C2×SD16×C37C2311yescharacteristic
253C2×SD16×C37C2311yescharacteristic
254C2×SD16×C37C2311yescharacteristic
255C2×SD16×C37C2311yescharacteristic
256C2×SD16×C37C2311yescharacteristic
257C2×SD16×C37C2311yescharacteristic
258C2×SD16×C37C2311yescharacteristic
259C2×SD16×C37C2311yescharacteristic
260C2×D8×C37C2311yescharacteristic
261C2×D8×C37C2311yescharacteristic
262C2×D8×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×M16×C37C2311yescharacteristic
265C2×M16×C37C2311yescharacteristic
266C2×M16×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C22×C8×C37C2311yescharacteristic
269C22×C8×C37C2311yescharacteristic
270C22×C8×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C4⋊Q8×C37—21no—
273C4⋊Q8×C37—21no—
274C4⋊Q8×C37—21no—
275C4⋊Q8×C37D411yescharacteristic
276C4⋊Q8×C37C2311yescharacteristic
277#127×C37—21no—
278#127×C37—21no—
279#127×C37—21no—
280#127×C37D411yescharacteristic
281#127×C37C2311yescharacteristic
282#126×C37—21no—
283#126×C37—21no—
284#126×C37—21no—
285#126×C37—21no—
286#126×C37—21no—
287#126×C37—21no—
288#125×C37—21no—
289#125×C37—21no—
290#125×C37C2311yescharacteristic
291#125×C37C2311yescharacteristic
292#124×C37—21no—
293#124×C37—21no—
294#124×C37—21no—
295#124×C37—21no—
296#124×C37—21no—
297#124×C37—21no—
298#124×C37—21no—
299#124×C37—21no—
300#124×C37D411yescharacteristic
301#124×C37D411yescharacteristic
302#124×C37C2311yescharacteristic
303#124×C37C2311yescharacteristic
304#124×C37C2311yescharacteristic
305#124×C37C2311yescharacteristic
306#123×C37—21no—
307#123×C37—21no—
308#123×C37—21no—
309#123×C37—21no—
310#123×C37—21no—
311#123×C37—21no—
312#123×C37—21no—
313#123×C37—21no—
314#123×C37—21no—
315#123×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37—21no—
320C22⋊Q8×C37—21no—
321C22⋊Q8×C37—21no—
322C22⋊Q8×C37—21no—
323C22⋊Q8×C37—21no—
324C22⋊Q8×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37—21no—
329C22⋊Q8×C37—21no—
330C22⋊Q8×C37C2311yescharacteristic
331C22⋊Q8×C37C2311yescharacteristic
332C22⋊Q8×C37C2311yescharacteristic
333C22⋊Q8×C37C2311yescharacteristic
334C22⋊Q8×C37C2311yescharacteristic
335C22⋊Q8×C37C2311yescharacteristic
336C22⋊Q8×C37C2311yescharacteristic
337C22⋊Q8×C37C2311yescharacteristic
338C22⋊Q8×C37C2311yescharacteristic
339C22⋊Q8×C37C2311yescharacteristic
340#121×C37—21no—
341#121×C37—21no—
342#121×C37—21no—
343#121×C37—21no—
344#121×C37—21no—
345#121×C37—21no—
346#121×C37—21no—
347#121×C37—21no—
348#121×C37—21no—
349#121×C37—21no—
350#121×C37—21no—
351#121×C37—21no—
352#121×C37—21no—
353#121×C37—21no—
354#121×C37—21no—
355#121×C37—21no—
356#121×C37—21no—
357#121×C37—21no—
358#121×C37—21no—
359#121×C37—21no—
360#121×C37—21no—
361#121×C37—21no—
362#121×C37—21no—
363#121×C37—21no—
364#121×C37—21no—
365#121×C37—21no—
366#121×C37—21no—
367#121×C37—21no—
368#121×C37D411yescharacteristic
369#121×C37D411yescharacteristic
370#121×C37D411yescharacteristic
371#121×C37D411yescharacteristic
372#121×C37C2311yescharacteristic
373#121×C37C2311yescharacteristic
374#121×C37C2311yescharacteristic
375#121×C37C2311yescharacteristic
376#121×C37C2311yescharacteristic
377#121×C37C2311yescharacteristic
378#121×C37C2311yescharacteristic
379#121×C37C2311yescharacteristic
380#121×C37C2311yescharacteristic
381#121×C37C2311yescharacteristic
382#120×C37—21no—
383#120×C37—21no—
384#120×C37—21no—
385#120×C37—21no—
386C4×Q8×C37—21no—
387C4×Q8×C37—21no—
388C4×Q8×C37C2311yescharacteristic
389C4×Q8×C37C2311yescharacteristic
390C4×Q8×C37C2311yescharacteristic
391C4×Q8×C37C2311yescharacteristic
392C4×Q8×C37C2311yescharacteristic
393C4×Q8×C37C2311yescharacteristic
394C4×D4×C37—21no—
395C4×D4×C37—21no—
396C4×D4×C37—21no—
397C4×D4×C37—21no—
398C4×D4×C37—21no—
399C4×D4×C37—21no—
400C4×D4×C37—21no—
401C4×D4×C37—21no—
402C4×D4×C37—21no—
403C4×D4×C37—21no—
404C4×D4×C37—21no—
405C4×D4×C37—21no—
406C4×D4×C37—21no—
407C4×D4×C37—21no—
408C4×D4×C37—21no—
409C4×D4×C37—21no—
410C4×D4×C37C2311yescharacteristic
411C4×D4×C37C2311yescharacteristic
412C4×D4×C37C2311yescharacteristic
413C4×D4×C37C2311yescharacteristic
414C4×D4×C37C2311yescharacteristic
415C4×D4×C37C2311yescharacteristic
416#117×C37—21no—
417#117×C37—21no—
418#117×C37—21no—
419#117×C37—21no—
420#117×C37C2311yescharacteristic
421#117×C37C2311yescharacteristic
422C2×C4⋊C4×C37—21no—
423C2×C4⋊C4×C37C2311yescharacteristic
424C2×C4⋊C4×C37C2311yescharacteristic
425C2×C4⋊C4×C37C2311yescharacteristic
426C2×C22⋊C4×C37—21no—
427C2×C22⋊C4×C37—21no—
428C2×C42×C37—21no—
429C2×C42×C37C2311yescharacteristic
430#107×C37C2311yescharacteristic
431#107×C37C2311yescharacteristic
432#107×C37C2311yescharacteristic
433#107×C37C2311yescharacteristic
434#106×C37C2311yescharacteristic
435#106×C37C2311yescharacteristic
436#106×C37C2311yescharacteristic
437#106×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440C4⋊C8×C37C2311yescharacteristic
441C4⋊C8×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×C37C2311yescharacteristic
456#103×C37C2311yescharacteristic
457#103×C37C2311yescharacteristic
458#103×C37C2311yescharacteristic
459#103×C37C2311yescharacteristic
460#103×C37C2311yescharacteristic
461#103×C37C2311yescharacteristic
462#102×C37C2311yescharacteristic
463#102×C37C2311yescharacteristic
464#102×C37C2311yescharacteristic
465#102×C37C2311yescharacteristic
466#102×C37C2311yescharacteristic
467#102×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472#102×C37C2311yescharacteristic
473#102×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478C22⋊C8×C37C2311yescharacteristic
479C22⋊C8×C37C2311yescharacteristic
480C22⋊C8×C37C2311yescharacteristic
481C22⋊C8×C37C2311yescharacteristic
482C22⋊C8×C37C2311yescharacteristic
483C22⋊C8×C37C2311yescharacteristic
484C22⋊C8×C37C2311yescharacteristic
485C22⋊C8×C37C2311yescharacteristic
486#97×C37C2311yescharacteristic
487#97×C37C2311yescharacteristic
488C4×C8×C37C2311yescharacteristic
489C4×C8×C37C2311yescharacteristic
490C24×C37—21no—
491#41×C37—22no—
492#41×C37—22no—
493#41×C37—22no—
494#41×C37—22no—
495#41×C37—41no—
496#41×C37—41no—
497#41×C37—41no—
498#41×C37—41no—
499#41×C37—41no—
500#41×C37—41no—
501#41×C37—41no—
502#41×C37—41no—
503#41×C37—41no—
504#41×C37—41no—
505#41×C37—41no—
506#41×C37—41no—
507#41×C37—44no—
508#41×C37—44no—
509#41×C37—44no—
510#41×C37—44no—
511#41×C37—41no—
512#41×C37—41no—
513#41×C37—41no—
514#41×C37—41no—
515#41×C37—44no—
516#41×C37—44no—
517C2×Q8×C37—22no—
518C2×Q8×C37—22no—
519C2×Q8×C37—21no—
520C2×Q8×C37—21no—
521C2×Q8×C37—21no—
522C2×Q8×C37—21no—
523C2×Q8×C37—21no—
524C2×Q8×C37—21no—
525C2×Q8×C37—22no—
526C2×Q8×C37—22no—
527C2×Q8×C37—22no—
528C2×Q8×C37—22no—
529C2×Q8×C37—41no—
530C2×Q8×C37—41no—
531C2×Q8×C37—41no—
532C2×Q8×C37—41no—
533C2×Q8×C37—41no—
534C2×Q8×C37—41no—
535C2×Q8×C37—44no—
536C2×Q8×C37—44no—
537C2×Q8×C37C2×D411yescharacteristic
538C2×Q8×C37C2×D411yescharacteristic
539C2×Q8×C37C2411yescharacteristic
540C2×Q8×C37C2411yescharacteristic
541C2×Q8×C37C2411yescharacteristic
542C2×Q8×C37C2411yescharacteristic
543C2×Q8×C37C2411yescharacteristic
544C2×Q8×C37C2411yescharacteristic
545C2×D4×C37—21no—
546C2×D4×C37—21no—
547C2×D4×C37—21no—
548C2×D4×C37—21no—
549C2×D4×C37—21no—
550C2×D4×C37—21no—
551C2×D4×C37—21no—
552C2×D4×C37—21no—
553C2×D4×C37—21no—
554C2×D4×C37—21no—
555C2×D4×C37—21no—
556C2×D4×C37—21no—
557C2×D4×C37—21no—
558C2×D4×C37—21no—
559C2×D4×C37—21no—
560C2×D4×C37—21no—
561C2×D4×C37—21no—
562C2×D4×C37—21no—
563C2×D4×C37—21no—
564C2×D4×C37—21no—
565C2×D4×C37—21no—
566C2×D4×C37—41no—
567C2×D4×C37—41no—
568C2×D4×C37C2×D411yescharacteristic
569C2×D4×C37C2×D411yescharacteristic
570C2×D4×C37C2×D411yescharacteristic
571C2×D4×C37C2×D411yescharacteristic
572C2×D4×C37C2×D411yescharacteristic
573C2×D4×C37C2×D411yescharacteristic
574C2×D4×C37C2×D411yescharacteristic
575C2×D4×C37C2×D411yescharacteristic
576C2×D4×C37C2×D411yescharacteristic
577C2×D4×C37C2×D411yescharacteristic
578C2×D4×C37C2411yescharacteristic
579C2×D4×C37C2411yescharacteristic
580C2×D4×C37C2411yescharacteristic
581C2×D4×C37C2411yescharacteristic
582C22×C4×C37—21no—
583C22×C4×C37—21no—
584C22×C4×C37—21no—
585C22×C4×C37—21no—
586C22×C4×C37—21no—
587C22×C4×C37—21no—
588C22×C4×C37—21no—
589C22×C4×C37—21no—
590C22×C4×C37—21no—
591C22×C4×C37—21no—
592C22×C4×C37—21no—
593C22×C4×C37—21no—
594C22×C4×C37—21no—
595C22×C4×C37—21no—
596C22×C4×C37—21no—
597C22×C4×C37—21no—
598C22×C4×C37—21no—
599C22×C4×C37—21no—
600C22×C4×C37—21no—
601C22×C4×C37C2×D411yescharacteristic
602C22×C4×C37C2×D411yescharacteristic
603C22×C4×C37C2411yescharacteristic
604C22×C4×C37C2411yescharacteristic
605C22×C4×C37C2411yescharacteristic
606C22×C4×C37C2411yescharacteristic
607C22×C4×C37C2411yescharacteristic
608Q16×C37—22no—
609Q16×C37—22no—
610Q16×C37—22no—
611Q16×C37—22no—
612Q16×C37—41no—
613Q16×C37—41no—
614Q16×C37—41no—
615Q16×C37—41no—
616SD16×C37—22no—
617SD16×C37—22no—
618SD16×C37—22no—
619SD16×C37—22no—
620SD16×C37—41no—
621SD16×C37—41no—
622SD16×C37—41no—
623SD16×C37—41no—
624SD16×C37—41no—
625SD16×C37—41no—
626SD16×C37—41no—
627SD16×C37—41no—
628D8×C37—41no—
629D8×C37—41no—
630D8×C37—41no—
631D8×C37—41no—
632M16×C37—41no—
633M16×C37—41no—
634M16×C37—41no—
635M16×C37—41no—
636C2×C8×C37—41no—
637C2×C8×C37—41no—
638C2×C8×C37—41no—
639C2×C8×C37—41no—
640C2×C8×C37C2411yescharacteristic
641C2×C8×C37C2411yescharacteristic
642C2×C8×C37C2411yescharacteristic
643C2×C8×C37C2411yescharacteristic
644C2×C8×C37C2411yescharacteristic
645C2×C8×C37C2411yescharacteristic
646C2×C8×C37C2411yescharacteristic
647C2×C8×C37C2411yescharacteristic
648C4⋊C4×C37—21no—
649C4⋊C4×C37—21no—
650C4⋊C4×C37—21no—
651C4⋊C4×C37—21no—
652C4⋊C4×C37—21no—
653C4⋊C4×C37—21no—
654C4⋊C4×C37—21no—
655C4⋊C4×C37—21no—
656C4⋊C4×C37—21no—
657C4⋊C4×C37—21no—
658C4⋊C4×C37—21no—
659C4⋊C4×C37—21no—
660C4⋊C4×C37—21no—
661C4⋊C4×C37—21no—
662C4⋊C4×C37—21no—
663C4⋊C4×C37—21no—
664C4⋊C4×C37—21no—
665C4⋊C4×C37—21no—
666C4⋊C4×C37—21no—
667C4⋊C4×C37—21no—
668C4⋊C4×C37—21no—
669C4⋊C4×C37—21no—
670C4⋊C4×C37—21no—
671C4⋊C4×C37—21no—
672C4⋊C4×C37—21no—
673C4⋊C4×C37C2×D411yescharacteristic
674C4⋊C4×C37C2×D411yescharacteristic
675C4⋊C4×C37C2×D411yescharacteristic
676C4⋊C4×C37C2×D411yescharacteristic
677C4⋊C4×C37C2411yescharacteristic
678C4⋊C4×C37C2411yescharacteristic
679C4⋊C4×C37C2411yescharacteristic
680C4⋊C4×C37C2411yescharacteristic
681C4⋊C4×C37C2411yescharacteristic
682C4⋊C4×C37C2411yescharacteristic
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37—21no—
688C22⋊C4×C37—21no—
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
692C22⋊C4×C37—21no—
693C22⋊C4×C37—21no—
694C22⋊C4×C37—21no—
695C22⋊C4×C37—21no—
696C22⋊C4×C37—21no—
697C22⋊C4×C37—21no—
698C22⋊C4×C37—21no—
699C22⋊C4×C37—21no—
700C22⋊C4×C37—21no—
701C22⋊C4×C37—21no—
702C22⋊C4×C37—21no—
703C22⋊C4×C37—21no—
704C22⋊C4×C37—21no—
705C22⋊C4×C37—21no—
706C22⋊C4×C37—21no—
707C22⋊C4×C37—21no—
708C22⋊C4×C37—21no—
709C22⋊C4×C37—21no—
710C22⋊C4×C37—21no—
711C22⋊C4×C37—21no—
712C22⋊C4×C37—21no—
713C22⋊C4×C37—21no—
714C22⋊C4×C37—21no—
715C22⋊C4×C37C2×D411yescharacteristic
716C22⋊C4×C37C2×D411yescharacteristic
717C22⋊C4×C37C2×D411yescharacteristic
718C22⋊C4×C37C2×D411yescharacteristic
719C22⋊C4×C37C2×D411yescharacteristic
720C22⋊C4×C37C2×D411yescharacteristic
721C22⋊C4×C37C2×D411yescharacteristic
722C22⋊C4×C37C2×D411yescharacteristic
723C42×C37—21no—
724C42×C37—21no—
725C42×C37—21no—
726C42×C37—21no—
727C42×C37—21no—
728C42×C37—21no—
729C42×C37—21no—
730C42×C37—21no—
731C42×C37C2×D411yescharacteristic
732C42×C37C2×D411yescharacteristic
733C42×C37C2411yescharacteristic
734C42×C37C2411yescharacteristic
735C23×C37—21no—
736C23×C37—21no—
737C23×C37—21no—
738C23×C37—21no—
739C23×C37—81no—
740C23×C37—81no—
741C23×C37—81no—
742C23×C37C22×D411yescharacteristic
743C23×C37C22×D411yescharacteristic
744C23×C37C22×D411yescharacteristic
745C23×C37C22×D411yescharacteristic
746C23×C37C22×D411yescharacteristic
747Q8×C37—24no—
748Q8×C37—21no—
749Q8×C37—21no—
750Q8×C37—21no—
751Q8×C37—21no—
752Q8×C37—21no—
753Q8×C37—21no—
754Q8×C37—21no—
755Q8×C37—21no—
756Q8×C37—21no—
757Q8×C37—21no—
758Q8×C37—41no—
759Q8×C37—41no—
760Q8×C37—42no—
761Q8×C37—42no—
762Q8×C37—42no—
763Q8×C37—42no—
764Q8×C37—81no—
765Q8×C37H(5,𝔽2)12yes—
766Q8×C37H(5,𝔽2)12yes—
767D4×C37—21no—
768D4×C37—21no—
769D4×C37—21no—
770D4×C37—21no—
771D4×C37—21no—
772D4×C37—21no—
773D4×C37—21no—
774D4×C37—21no—
775D4×C37—41no—
776D4×C37—41no—
777D4×C37—41no—
778D4×C37—41no—
779D4×C37—41no—
780D4×C37—41no—
781D4×C37—41no—
782D4×C37—41no—
783D4×C37—41no—
784D4×C37—41no—
785D4×C37—42no—
786D4×C37—42no—
787D4×C37—42no—
788D4×C37—42no—
789D4×C37—42no—
790D4×C37—42no—
791D4×C37—42no—
792D4×C37—81no—
793D4×C37—81no—
794D4×C37—81no—
795D4×C37—81no—
796D4×C37—81no—
797D4×C37—81no—
798D4×C37—81no—
799D4×C37—81no—
800D4×C37—81no—
801D4×C37—81no—
802D4×C37—81no—
803D4×C37—81no—
804D4×C37—81no—
805D4×C37—81no—
806C2×C4×C37—24no—
807C2×C4×C37—21no—
808C2×C4×C37—21no—
809C2×C4×C37—21no—
810C2×C4×C37—21no—
811C2×C4×C37—21no—
812C2×C4×C37—21no—
813C2×C4×C37—21no—
814C2×C4×C37—21no—
815C2×C4×C37—21no—
816C2×C4×C37—21no—
817C2×C4×C37—21no—
818C2×C4×C37—21no—
819C2×C4×C37—21no—
820C2×C4×C37—21no—
821C2×C4×C37—21no—
822C2×C4×C37—21no—
823C2×C4×C37—21no—
824C2×C4×C37—21no—
825C2×C4×C37—21no—
826C2×C4×C37—21no—
827C2×C4×C37—21no—
828C2×C4×C37—21no—
829C2×C4×C37—41no—
830C2×C4×C37—41no—
831C2×C4×C37—42no—
832C2×C4×C37—42no—
833C2×C4×C37—42no—
834C2×C4×C37—42no—
835C2×C4×C37—42no—
836C2×C4×C37—42no—
837C2×C4×C37—42no—
838C2×C4×C37—42no—
839C2×C4×C37—42no—
840C2×C4×C37—42no—
841C2×C4×C37—81no—
842C2×C4×C37—81no—
843C2×C4×C37—81no—
844C2×C4×C37—81no—
845C2×C4×C37—81no—
846C2×C4×C37—81no—
847C2×C4×C37—81no—
848C2×C4×C37—81no—
849C2×C4×C37C22×D411yescharacteristic
850C2×C4×C37C22×D411yescharacteristic
851C2×C4×C37C22×D411yescharacteristic
852C2×C4×C37C22×D411yescharacteristic
853C2×C4×C37C22×D411yescharacteristic
854C2×C4×C37C22×D411yescharacteristic
855C2×C4×C37C22×D411yescharacteristic
856C2×C4×C37C22×D411yescharacteristic
857C2×C4×C37C22×D411yescharacteristic
858C2×C4×C37C2511yescharacteristic
859C8×C37—21no—
860C8×C37—21no—
861C8×C37—21no—
862C8×C37—21no—
863C8×C37—21no—
864C8×C37—21no—
865C8×C37—21no—
866C8×C37—21no—
867#61681C3711yesmaximal, characteristic, direct product factor, Sylow
868C22×C37—21no—
869C22×C37—21no—
870C22×C37—21no—
871C22×C37—21no—
872C22×C37—21no—
873C22×C37—21no—
874C22×C37—21no—
875C22×C37—21no—
876C22×C37—21no—
877C22×C37—21no—
878C22×C37—21no—
879C22×C37—21no—
880C22×C37—21no—
881C22×C37—21no—
882C22×C37—21no—
883C22×C37—41no—
884C22×C37—41no—
885C22×C37—41no—
886C22×C37—41no—
887C22×C37—41no—
888C22×C37—41no—
889C22×C37—41no—
890C22×C37—41no—
891C22×C37—41no—
892C22×C37—41no—
893C22×C37—41no—
894C22×C37—41no—
895C22×C37—162no—
896C22×C37C23×D411yescharacteristic
897C4×C37—21no—
898C4×C37—21no—
899C4×C37—21no—
900C4×C37—21no—
901C4×C37—22no—
902C4×C37—22no—
903C4×C37—21no—
904C4×C37—21no—
905C4×C37—21no—
906C4×C37—21no—
907C4×C37—21no—
908C4×C37—41no—
909C4×C37—41no—
910C4×C37—41no—
911C4×C37—41no—
912C4×C37—41no—
913C4×C37—41no—
914C4×C37—41no—
915C4×C37—41no—
916C4×C37—41no—
917C4×C37—41no—
918C4×C37C2×H(5,𝔽2)11yescharacteristic
919C4×C37C2×H(5,𝔽2)11yescharacteristic
920#3551C2×C3711yescharacteristic, complemented
921#3497C2×C3711yescharacteristic, complemented
922#3327C2×C3711yescharacteristic, complemented
923#3326C2×C3711yescharacteristic, complemented
924#3320C2×C3711yescharacteristic, complemented
925#3317C2×C3711yescharacteristic, complemented
926#3312C2×C3711yescharacteristic, complemented
927#3309C2×C3711yescharacteristic, complemented
928#3301C2×C3711yescharacteristic, complemented
929#3300C2×C3711yescharacteristic, complemented
930#3285C2×C3711yescharacteristic, complemented
931#3282C2×C3711yescharacteristic, complemented
932#3277C2×C3711yescharacteristic, complemented
933#3275C2×C3711yescharacteristic, complemented
934#3271C2×C3711yescharacteristic, complemented
935#3270C2×C3711yescharacteristic, complemented
936#3268C2×C3711yescharacteristic, complemented
937#3266C2×C3711yescharacteristic, complemented
938#3219C2×C3711yescharacteristic, complemented
939#3212C2×C3711yescharacteristic, complemented
940#3204C2×C3711yescharacteristic, complemented
941#3203C2×C3711yescharacteristic, complemented
942#3201C2×C3711yescharacteristic, complemented
943#3198C2×C3711yescharacteristic, complemented
944#3117C2×C3711yescharacteristic, complemented
945#3108C2×C3711yescharacteristic, complemented
946#3013C2×C3711yescharacteristic, complemented
947#3013C2×C3711yescharacteristic, complemented
948#3011C2×C3711yescharacteristic, complemented
949#3010C2×C3711yescharacteristic, complemented
950#2981C2×C3711yescharacteristic, complemented
951C2×C37—41no—
952C2×C37—41no—
953C2×C37—41no—
954C2×C37—41no—
955C2×C37—41no—
956C2×C37—81no—
957C2×C37—81no—
958C2×C37—81no—
959C2×C37—81no—
960C2×C37#348411yescharacteristic
961C2×C37#358411yescharacteristic
962C2×C37#358611yescharacteristic
963C2×2−1+4C22×C3711yescharacteristic
964C2×2−1+4C22×C3711yescharacteristic, complemented
965C2×#137C22×C3711yescharacteristic
966C2×#137C22×C3711yescharacteristic
967C2×#137C22×C3711yescharacteristic, complemented
968C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
969C2×#135C22×C3711yescharacteristic
970C2×#135C22×C3711yescharacteristic
971C22×Q16C22×C3711yescharacteristic, complemented
972C22×SD16C22×C3711yescharacteristic
973#563—21no—
974#560—21no—
975#555—21no—
976#553C22×C3711yescharacteristic
977#553C22×C3711yescharacteristic
978#552C22×C3711yescharacteristic
979#552C22×C3711yescharacteristic
980#551—21no—
981#550—21no—
982#550C22×C3711yescharacteristic
983#550C22×C3711yescharacteristic, complemented
984D4×Q8—21no—
985D4×Q8C22×C3711yescharacteristic
986D4×Q8C22×C3711yescharacteristic, complemented
987#548—21no—
988#548—21no—
989#548C22×C3711yescharacteristic
990#548C22×C3711yescharacteristic
991#548C22×C3711yescharacteristic
992#548C22×C3711yescharacteristic
993#548C22×C3711yescharacteristic, complemented
994#548C22×C3711yescharacteristic, complemented
995#546C22×C3711yescharacteristic
996#546C22×C3711yescharacteristic
997#540—21no—
998#540—21no—
999#538—21no—
1000#538—21no—
1001#537—21no—
1002#537—21no—
1003#537C22×C3711yescharacteristic
1004#537C22×C3711yescharacteristic
1005#537C22×C3711yescharacteristic
1006#537C22×C3711yescharacteristic, complemented
1007#536C22×C3711yescharacteristic
1008#535C22×C3711yescharacteristic
1009#532—21no—
1010#532—21no—
1011#532C22×C3711yescharacteristic
1012#532C22×C3711yescharacteristic, complemented
1013#529C22×C3711yescharacteristic
1014#529C22×C3711yescharacteristic
1015C2×C4×Q8C22×C3711yescharacteristic, complemented
1016#497C22×C3711yescharacteristic
1017#496C22×C3711yescharacteristic
1018#495C22×C3711yescharacteristic
1019#495C22×C3711yescharacteristic
1020#491C22×C3711yescharacteristic, complemented
1021#490C22×C3711yescharacteristic, complemented
1022#488C22×C3711yescharacteristic, complemented
1023#488C22×C3711yescharacteristic, complemented
1024#485C22×C3711yescharacteristic
1025#485C22×C3711yescharacteristic, complemented
1026#484C22×C3711yescharacteristic, complemented
1027#484C22×C3711yescharacteristic, complemented
1028#483C22×C3711yescharacteristic, complemented
1029#483C22×C3711yescharacteristic, complemented
1030#482C22×C3711yescharacteristic
1031#482C22×C3711yescharacteristic, complemented
1032#481C22×C3711yescharacteristic
1033#481C22×C3711yescharacteristic, complemented
1034#480C22×C3711yescharacteristic
1035#480C22×C3711yescharacteristic, complemented
1036#479C22×C3711yescharacteristic, complemented
1037#479C22×C3711yescharacteristic, complemented
1038#479C22×C3711yescharacteristic, complemented
1039#479C22×C3711yescharacteristic, complemented
1040#470C22×C3711yescharacteristic
1041#470C22×C3711yescharacteristic, complemented
1042#469C22×C3711yescharacteristic
1043#469C22×C3711yescharacteristic
1044#468C22×C3711yescharacteristic
1045#468C22×C3711yescharacteristic
1046#468C22×C3711yescharacteristic
1047#468C22×C3711yescharacteristic, complemented
1048#467C22×C3711yescharacteristic
1049#467C22×C3711yescharacteristic, complemented
1050#466C22×C3711yescharacteristic
1051#466C22×C3711yescharacteristic
1052#465C22×C3711yescharacteristic
1053#465C22×C3711yescharacteristic
1054#465C22×C3711yescharacteristic
1055#465C22×C3711yescharacteristic, complemented
1056#464C22×C3711yescharacteristic
1057#464C22×C3711yescharacteristic
1058#464C22×C3711yescharacteristic
1059#464C22×C3711yescharacteristic
1060#464C22×C3711yescharacteristic, complemented
1061#464C22×C3711yescharacteristic, complemented
1062#463C22×C3711yescharacteristic
1063#463C22×C3711yescharacteristic
1064#462C22×C3711yescharacteristic, complemented
1065#461C22×C3711yescharacteristic
1066#460C22×C3711yescharacteristic, complemented
1067#459C22×C3711yescharacteristic
1068#452C22×C3711yescharacteristic
1069#452C22×C3711yescharacteristic
1070#452C22×C3711yescharacteristic
1071#452C22×C3711yescharacteristic
1072#452C22×C3711yescharacteristic, complemented
1073#452C22×C3711yescharacteristic, complemented
1074#452C22×C3711yescharacteristic, complemented
1075#452C22×C3711yescharacteristic, complemented
1076#452C22×C3711yescharacteristic, complemented
1077#452C22×C3711yescharacteristic, complemented
1078#451C22×C3711yescharacteristic
1079#451C22×C3711yescharacteristic
1080#451C22×C3711yescharacteristic, complemented
1081#451C22×C3711yescharacteristic, complemented
1082#451C22×C3711yescharacteristic, complemented
1083#451C22×C3711yescharacteristic, complemented
1084#451C22×C3711yescharacteristic, complemented
1085#450C22×C3711yescharacteristic
1086#449C22×C3711yescharacteristic
1087#449C22×C3711yescharacteristic
1088#449C22×C3711yescharacteristic
1089#449C22×C3711yescharacteristic
1090#449C22×C3711yescharacteristic
1091#449C22×C3711yescharacteristic
1092#449C22×C3711yescharacteristic
1093#449C22×C3711yescharacteristic
1094#449C22×C3711yescharacteristic
1095#449C22×C3711yescharacteristic
1096#448C22×C3711yescharacteristic
1097#448C22×C3711yescharacteristic
1098#448C22×C3711yescharacteristic
1099#448C22×C3711yescharacteristic
1100#448C22×C3711yescharacteristic
1101#448C22×C3711yescharacteristic
1102#448C22×C3711yescharacteristic, complemented
1103#447C22×C3711yescharacteristic
1104#441C22×C3711yescharacteristic, complemented
1105#441C22×C3711yescharacteristic, complemented
1106#440C22×C3711yescharacteristic
1107#440C22×C3711yescharacteristic
1108C4×Q16C22×C3711yescharacteristic, complemented
1109C4×Q16C22×C3711yescharacteristic, complemented
1110C4×SD16C22×C3711yescharacteristic
1111C4×SD16C22×C3711yescharacteristic
1112#436C22×C3711yescharacteristic
1113#436C22×C3711yescharacteristic, complemented
1114#435C22×C3711yescharacteristic
1115#435C22×C3711yescharacteristic
1116#435C22×C3711yescharacteristic, complemented
1117#435C22×C3711yescharacteristic, complemented
1118C8×D4C22×C3711yescharacteristic
1119C8×D4C22×C3711yescharacteristic, complemented
1120#432C22×C3711yescharacteristic, complemented
1121#431C22×C3711yescharacteristic, complemented
1122#419C22×C3711yescharacteristic
1123#419C22×C3711yescharacteristic, complemented
1124#417C22×C3711yescharacteristic, complemented
1125#417C22×C3711yescharacteristic, complemented
1126#416C22×C3711yescharacteristic
1127#416C22×C3711yescharacteristic, complemented
1128C2×#103C22×C3711yescharacteristic, complemented
1129C2×#103C22×C3711yescharacteristic, complemented
1130#408C22×C3711yescharacteristic
1131#408C22×C3711yescharacteristic
1132#408C22×C3711yescharacteristic, complemented
1133#408C22×C3711yescharacteristic, complemented
1134C37#6168111yescharacteristic, direct product factor, Sylow
11352−1+4—42no—
11362−1+4—42no—
11372−1+4—42no—
11382−1+4—42no—
1139C2×#41—21no—
1140C2×#41—21no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—21no—
1145C2×#41C23×C3711yescharacteristic
1146C2×#41C23×C3711yescharacteristic
1147C2×#41C23×C3711yescharacteristic
1148C2×#41C23×C3711yescharacteristic
1149C2×#41C23×C3711yescharacteristic
1150C2×#41C23×C3711yescharacteristic
1151C2×#41C23×C3711yescharacteristic
1152C2×#41C23×C3711yescharacteristic
1153C2×#41C23×C3711yescharacteristic
1154C2×#41C23×C3711yescharacteristic
1155C22×Q8—21no—
1156C22×Q8—21no—
1157C22×Q8C23×C3711yescharacteristic
1158C22×Q8C23×C3711yescharacteristic
1159C22×Q8C23×C3711yescharacteristic
1160C22×Q8C23×C3711yescharacteristic
1161C22×Q8C23×C3711yescharacteristic
1162C22×Q8C23×C3711yescharacteristic
1163C22×D4C23×C3711yescharacteristic
1164#137—42no—
1165#137—42no—
1166#137—42no—
1167AGL(1,ℤ/8)—42no—
1168#135—42no—
1169#135—42no—
1170C2×Q16—42no—
1171C2×Q16C23×C3711yescharacteristic
1172C2×Q16C23×C3711yescharacteristic
1173C2×Q16C23×C3711yescharacteristic
1174C2×Q16C23×C3711yescharacteristic
1175C2×Q16C23×C3711yescharacteristic
1176C2×Q16C23×C3711yescharacteristic
1177C2×Q16C23×C3711yescharacteristic
1178C2×Q16C23×C3711yescharacteristic
1179C2×SD16—42no—
1180C2×SD16C23×C3711yescharacteristic
1181C2×SD16C23×C3711yescharacteristic
1182C2×SD16C23×C3711yescharacteristic
1183C2×SD16C23×C3711yescharacteristic
1184C2×SD16C23×C3711yescharacteristic
1185C2×SD16C23×C3711yescharacteristic
1186C2×SD16C23×C3711yescharacteristic
1187C2×SD16C23×C3711yescharacteristic
1188C2×SD16C23×C3711yescharacteristic
1189C2×SD16C23×C3711yescharacteristic
1190C2×SD16C23×C3711yescharacteristic
1191C2×SD16C23×C3711yescharacteristic
1192C2×D8C23×C3711yescharacteristic
1193C2×D8C23×C3711yescharacteristic
1194C2×D8C23×C3711yescharacteristic
1195C2×D8C23×C3711yescharacteristic
1196C2×M16C23×C3711yescharacteristic
1197C2×M16C23×C3711yescharacteristic
1198C2×M16C23×C3711yescharacteristic
1199C2×M16C23×C3711yescharacteristic
1200C22×C8C23×C3711yescharacteristic
1201C22×C8C23×C3711yescharacteristic
1202C22×C8C23×C3711yescharacteristic
1203C22×C8C23×C3711yescharacteristic
1204C4⋊Q8—21no—
1205C4⋊Q8—21no—
1206C4⋊Q8—21no—
1207C4⋊Q8D4×C3711yescharacteristic
1208C4⋊Q8C23×C3711yescharacteristic
1209#127—21no—
1210#127—21no—
1211#127—21no—
1212#127D4×C3711yescharacteristic
1213#127C23×C3711yescharacteristic
1214#126—21no—
1215#126—21no—
1216#126—21no—
1217#126—21no—
1218#126—21no—
1219#126—21no—
1220#125—21no—
1221#125—21no—
1222#125C23×C3711yescharacteristic
1223#125C23×C3711yescharacteristic
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—21no—
1232#124D4×C3711yescharacteristic
1233#124D4×C3711yescharacteristic
1234#124C23×C3711yescharacteristic
1235#124C23×C3711yescharacteristic
1236#124C23×C3711yescharacteristic
1237#124C23×C3711yescharacteristic
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8C23×C3711yescharacteristic
1263C22⋊Q8C23×C3711yescharacteristic
1264C22⋊Q8C23×C3711yescharacteristic
1265C22⋊Q8C23×C3711yescharacteristic
1266C22⋊Q8C23×C3711yescharacteristic
1267C22⋊Q8C23×C3711yescharacteristic
1268C22⋊Q8C23×C3711yescharacteristic
1269C22⋊Q8C23×C3711yescharacteristic
1270C22⋊Q8C23×C3711yescharacteristic
1271C22⋊Q8C23×C3711yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—21no—
1275#121—21no—
1276#121—21no—
1277#121—21no—
1278#121—21no—
1279#121—21no—
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121D4×C3711yescharacteristic
1301#121D4×C3711yescharacteristic
1302#121D4×C3711yescharacteristic
1303#121D4×C3711yescharacteristic
1304#121C23×C3711yescharacteristic
1305#121C23×C3711yescharacteristic
1306#121C23×C3711yescharacteristic
1307#121C23×C3711yescharacteristic
1308#121C23×C3711yescharacteristic
1309#121C23×C3711yescharacteristic
1310#121C23×C3711yescharacteristic
1311#121C23×C3711yescharacteristic
1312#121C23×C3711yescharacteristic
1313#121C23×C3711yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318C4×Q8—21no—
1319C4×Q8—21no—
1320C4×Q8C23×C3711yescharacteristic
1321C4×Q8C23×C3711yescharacteristic
1322C4×Q8C23×C3711yescharacteristic
1323C4×Q8C23×C3711yescharacteristic
1324C4×Q8C23×C3711yescharacteristic
1325C4×Q8C23×C3711yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—21no—
1335C4×D4—21no—
1336C4×D4—21no—
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4C23×C3711yescharacteristic
1343C4×D4C23×C3711yescharacteristic
1344C4×D4C23×C3711yescharacteristic
1345C4×D4C23×C3711yescharacteristic
1346C4×D4C23×C3711yescharacteristic
1347C4×D4C23×C3711yescharacteristic
1348#117—21no—
1349#117—21no—
1350#117—21no—
1351#117—21no—
1352#117C23×C3711yescharacteristic
1353#117C23×C3711yescharacteristic
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4C23×C3711yescharacteristic
1356C2×C4⋊C4C23×C3711yescharacteristic
1357C2×C4⋊C4C23×C3711yescharacteristic
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C42—21no—
1361C2×C42C23×C3711yescharacteristic
1362#107C23×C3711yescharacteristic
1363#107C23×C3711yescharacteristic
1364#107C23×C3711yescharacteristic
1365#107C23×C3711yescharacteristic
1366#106C23×C3711yescharacteristic
1367#106C23×C3711yescharacteristic
1368#106C23×C3711yescharacteristic
1369#106C23×C3711yescharacteristic
1370C4⋊C8C23×C3711yescharacteristic
1371C4⋊C8C23×C3711yescharacteristic
1372C4⋊C8C23×C3711yescharacteristic
1373C4⋊C8C23×C3711yescharacteristic
1374#103C23×C3711yescharacteristic
1375#103C23×C3711yescharacteristic
1376#103C23×C3711yescharacteristic
1377#103C23×C3711yescharacteristic
1378#103C23×C3711yescharacteristic
1379#103C23×C3711yescharacteristic
1380#103C23×C3711yescharacteristic
1381#103C23×C3711yescharacteristic
1382#103C23×C3711yescharacteristic
1383#103C23×C3711yescharacteristic
1384#103C23×C3711yescharacteristic
1385#103C23×C3711yescharacteristic
1386#103C23×C3711yescharacteristic
1387#103C23×C3711yescharacteristic
1388#103C23×C3711yescharacteristic
1389#103C23×C3711yescharacteristic
1390#103C23×C3711yescharacteristic
1391#103C23×C3711yescharacteristic
1392#103C23×C3711yescharacteristic
1393#103C23×C3711yescharacteristic
1394#102C23×C3711yescharacteristic
1395#102C23×C3711yescharacteristic
1396#102C23×C3711yescharacteristic
1397#102C23×C3711yescharacteristic
1398#102C23×C3711yescharacteristic
1399#102C23×C3711yescharacteristic
1400#102C23×C3711yescharacteristic
1401#102C23×C3711yescharacteristic
1402#102C23×C3711yescharacteristic
1403#102C23×C3711yescharacteristic
1404#102C23×C3711yescharacteristic
1405#102C23×C3711yescharacteristic
1406C22⋊C8C23×C3711yescharacteristic
1407C22⋊C8C23×C3711yescharacteristic
1408C22⋊C8C23×C3711yescharacteristic
1409C22⋊C8C23×C3711yescharacteristic
1410C22⋊C8C23×C3711yescharacteristic
1411C22⋊C8C23×C3711yescharacteristic
1412C22⋊C8C23×C3711yescharacteristic
1413C22⋊C8C23×C3711yescharacteristic
1414C22⋊C8C23×C3711yescharacteristic
1415C22⋊C8C23×C3711yescharacteristic
1416C22⋊C8C23×C3711yescharacteristic
1417C22⋊C8C23×C3711yescharacteristic
1418#97C23×C3711yescharacteristic
1419#97C23×C3711yescharacteristic
1420C4×C8C23×C3711yescharacteristic
1421C4×C8C23×C3711yescharacteristic
1422C24—21no—
1423#41—22no—
1424#41—22no—
1425#41—22no—
1426#41—22no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—41no—
1432#41—41no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—44no—
1440#41—44no—
1441#41—44no—
1442#41—44no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—44no—
1448#41—44no—
1449C2×Q8—22no—
1450C2×Q8—22no—
1451C2×Q8—21no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—22no—
1458C2×Q8—22no—
1459C2×Q8—22no—
1460C2×Q8—22no—
1461C2×Q8—41no—
1462C2×Q8—41no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—41no—
1466C2×Q8—41no—
1467C2×Q8—44no—
1468C2×Q8—44no—
1469C2×Q8C2×D4×C3711yescharacteristic
1470C2×Q8C2×D4×C3711yescharacteristic
1471C2×Q8C24×C3711yescharacteristic
1472C2×Q8C24×C3711yescharacteristic
1473C2×Q8C24×C3711yescharacteristic
1474C2×Q8C24×C3711yescharacteristic
1475C2×Q8C24×C3711yescharacteristic
1476C2×Q8C24×C3711yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—21no—
1491C2×D4—21no—
1492C2×D4—21no—
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—41no—
1499C2×D4—41no—
1500C2×D4C2×D4×C3711yescharacteristic
1501C2×D4C2×D4×C3711yescharacteristic
1502C2×D4C2×D4×C3711yescharacteristic
1503C2×D4C2×D4×C3711yescharacteristic
1504C2×D4C2×D4×C3711yescharacteristic
1505C2×D4C2×D4×C3711yescharacteristic
1506C2×D4C2×D4×C3711yescharacteristic
1507C2×D4C2×D4×C3711yescharacteristic
1508C2×D4C2×D4×C3711yescharacteristic
1509C2×D4C2×D4×C3711yescharacteristic
1510C2×D4C24×C3711yescharacteristic
1511C2×D4C24×C3711yescharacteristic
1512C2×D4C24×C3711yescharacteristic
1513C2×D4C24×C3711yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4C2×D4×C3711yescharacteristic
1534C22×C4C2×D4×C3711yescharacteristic
1535C22×C4C24×C3711yescharacteristic
1536C22×C4C24×C3711yescharacteristic
1537C22×C4C24×C3711yescharacteristic
1538C22×C4C24×C3711yescharacteristic
1539C22×C4C24×C3711yescharacteristic
1540Q16—22no—
1541Q16—22no—
1542Q16—22no—
1543Q16—22no—
1544Q16—41no—
1545Q16—41no—
1546Q16—41no—
1547Q16—41no—
1548SD16—22no—
1549SD16—22no—
1550SD16—22no—
1551SD16—22no—
1552SD16—41no—
1553SD16—41no—
1554SD16—41no—
1555SD16—41no—
1556SD16—41no—
1557SD16—41no—
1558SD16—41no—
1559SD16—41no—
1560D8—41no—
1561D8—41no—
1562D8—41no—
1563D8—41no—
1564M16—41no—
1565M16—41no—
1566M16—41no—
1567M16—41no—
1568C2×C8—41no—
1569C2×C8—41no—
1570C2×C8—41no—
1571C2×C8—41no—
1572C2×C8C24×C3711yescharacteristic
1573C2×C8C24×C3711yescharacteristic
1574C2×C8C24×C3711yescharacteristic
1575C2×C8C24×C3711yescharacteristic
1576C2×C8C24×C3711yescharacteristic
1577C2×C8C24×C3711yescharacteristic
1578C2×C8C24×C3711yescharacteristic
1579C2×C8C24×C3711yescharacteristic
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—21no—
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4C2×D4×C3711yescharacteristic
1606C4⋊C4C2×D4×C3711yescharacteristic
1607C4⋊C4C2×D4×C3711yescharacteristic
1608C4⋊C4C2×D4×C3711yescharacteristic
1609C4⋊C4C24×C3711yescharacteristic
1610C4⋊C4C24×C3711yescharacteristic
1611C4⋊C4C24×C3711yescharacteristic
1612C4⋊C4C24×C3711yescharacteristic
1613C4⋊C4C24×C3711yescharacteristic
1614C4⋊C4C24×C3711yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4C2×D4×C3711yescharacteristic
1648C22⋊C4C2×D4×C3711yescharacteristic
1649C22⋊C4C2×D4×C3711yescharacteristic
1650C22⋊C4C2×D4×C3711yescharacteristic
1651C22⋊C4C2×D4×C3711yescharacteristic
1652C22⋊C4C2×D4×C3711yescharacteristic
1653C22⋊C4C2×D4×C3711yescharacteristic
1654C22⋊C4C2×D4×C3711yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—21no—
1662C42—21no—
1663C42C2×D4×C3711yescharacteristic
1664C42C2×D4×C3711yescharacteristic
1665C42C24×C3711yescharacteristic
1666C42C24×C3711yescharacteristic
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—81no—
1672C23—81no—
1673C23—81no—
1674C23C22×D4×C3711yescharacteristic
1675C23C22×D4×C3711yescharacteristic
1676C23C22×D4×C3711yescharacteristic
1677C23C22×D4×C3711yescharacteristic
1678C23C22×D4×C3711yescharacteristic
1679Q8—24no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—41no—
1691Q8—41no—
1692Q8—42no—
1693Q8—42no—
1694Q8—42no—
1695Q8—42no—
1696Q8—81no—
1697Q8H(5,𝔽2)×C3712yes—
1698Q8H(5,𝔽2)×C3712yes—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—21no—
1707D4—41no—
1708D4—41no—
1709D4—41no—
1710D4—41no—
1711D4—41no—
1712D4—41no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—42no—
1718D4—42no—
1719D4—42no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—42no—
1724D4—81no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—81no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—41no—
1762C2×C4—41no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—42no—
1769C2×C4—42no—
1770C2×C4—42no—
1771C2×C4—42no—
1772C2×C4—42no—
1773C2×C4—81no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—81no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—81no—
1781C2×C4C22×D4×C3711yescharacteristic
1782C2×C4C22×D4×C3711yescharacteristic
1783C2×C4C22×D4×C3711yescharacteristic
1784C2×C4C22×D4×C3711yescharacteristic
1785C2×C4C22×D4×C3711yescharacteristic
1786C2×C4C22×D4×C3711yescharacteristic
1787C2×C4C22×D4×C3711yescharacteristic
1788C2×C4C22×D4×C3711yescharacteristic
1789C2×C4C22×D4×C3711yescharacteristic
1790C2×C4C25×C3711yescharacteristic
1791C8—21no—
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—21no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—162no—
1827C22C23×D4×C3711yescharacteristic
1828C4—22no—
1829C4—22no—
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—41no—
1849C4C2×H(5,𝔽2)×C3711yescharacteristic
1850C4C2×H(5,𝔽2)×C3711yescharacteristic
1851C2—41no—
1852C2—41no—
1853C2—41no—
1854C2—41no—
1855C2—41no—
1856C2—81no—
1857C2—81no—
1858C2—81no—
1859C2—81no—
1860C2C37×#348411yescharacteristic
1861C2C37×#358411yescharacteristic
1862C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#532 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3551C2semidirect
2. C37×#3497C2semidirect
3. C37×#3327C2semidirect
4. C37×#3326C2semidirect
5. C37×#3320C2semidirect
6. C37×#3317C2semidirect
7. C37×#3312C2semidirect
8. C37×#3309C2semidirect
9. C37×#3301C2semidirect
10. C37×#3300C2semidirect
11. C37×#3285C2semidirect
12. C37×#3282C2semidirect
13. C37×#3277C2semidirect
14. C37×#3275C2semidirect
15. C37×#3271C2semidirect
16. C37×#3270C2semidirect
17. C37×#3268C2semidirect
18. C37×#3266C2semidirect
19. C37×#3219C2semidirect
20. C37×#3212C2semidirect
21. C37×#3204C2semidirect
22. C37×#3203C2semidirect
23. C37×#3201C2semidirect
24. C37×#3198C2semidirect
25. C37×#3117C2semidirect
26. C37×#3108C2semidirect
27. C37×#3013C2semidirect
28. C37×#3013C2semidirect
29. C37×#3011C2semidirect
30. C37×#3010C2semidirect
31. C37×#2981C2semidirect
33. C2×2−1+4×C37C22semidirect
36. C2×#137×C37C22semidirect
40. C22×Q16×C37C22semidirect
52. C37×#550C22semidirect
55. D4×Q8×C37C22semidirect
62. C37×#548C22semidirect
63. C37×#548C22semidirect
75. C37×#537C22semidirect
81. C37×#532C22semidirect
84. C2×C4×Q8×C37C22semidirect
89. C37×#491C22semidirect
90. C37×#490C22semidirect
91. C37×#488C22semidirect
92. C37×#488C22semidirect
94. C37×#485C22semidirect
95. C37×#484C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
98. C37×#483C22semidirect
100. C37×#482C22semidirect
102. C37×#481C22semidirect
104. C37×#480C22semidirect
105. C37×#479C22semidirect
106. C37×#479C22semidirect
107. C37×#479C22semidirect
108. C37×#479C22semidirect
110. C37×#470C22semidirect
116. C37×#468C22semidirect
118. C37×#467C22semidirect
124. C37×#465C22semidirect
129. C37×#464C22semidirect
130. C37×#464C22semidirect
133. C37×#462C22semidirect
135. C37×#460C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#452C22semidirect
145. C37×#452C22semidirect
146. C37×#452C22semidirect
149. C37×#451C22semidirect
150. C37×#451C22semidirect
151. C37×#451C22semidirect
152. C37×#451C22semidirect
153. C37×#451C22semidirect
171. C37×#448C22semidirect
173. C37×#441C22semidirect
174. C37×#441C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×Q16×C37C22semidirect
182. C37×#436C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
188. C8×D4×C37C22semidirect
189. C37×#432C22semidirect
190. C37×#431C22semidirect
192. C37×#419C22semidirect
193. C37×#417C22semidirect
194. C37×#417C22semidirect
196. C37×#416C22semidirect
197. C2×#103×C37C22semidirect
198. C2×#103×C37C22semidirect
201. C37×#408C22semidirect
202. C37×#408C22semidirect
867. #61681C37direct (N × H)
920. #3551C2×C37semidirect
921. #3497C2×C37semidirect
922. #3327C2×C37semidirect
923. #3326C2×C37semidirect
924. #3320C2×C37semidirect
925. #3317C2×C37semidirect
926. #3312C2×C37semidirect
927. #3309C2×C37semidirect
928. #3301C2×C37semidirect
929. #3300C2×C37semidirect
930. #3285C2×C37semidirect
931. #3282C2×C37semidirect
932. #3277C2×C37semidirect
933. #3275C2×C37semidirect
934. #3271C2×C37semidirect
935. #3270C2×C37semidirect
936. #3268C2×C37semidirect
937. #3266C2×C37semidirect
938. #3219C2×C37semidirect
939. #3212C2×C37semidirect
940. #3204C2×C37semidirect
941. #3203C2×C37semidirect
942. #3201C2×C37semidirect
943. #3198C2×C37semidirect
944. #3117C2×C37semidirect
945. #3108C2×C37semidirect
946. #3013C2×C37semidirect
947. #3013C2×C37semidirect
948. #3011C2×C37semidirect
949. #3010C2×C37semidirect
950. #2981C2×C37semidirect
964. C2×2−1+4C22×C37semidirect
967. C2×#137C22×C37semidirect
971. C22×Q16C22×C37semidirect
983. #550C22×C37semidirect
986. D4×Q8C22×C37semidirect
993. #548C22×C37semidirect
994. #548C22×C37semidirect
1006. #537C22×C37semidirect
1012. #532C22×C37semidirect
1015. C2×C4×Q8C22×C37semidirect
1020. #491C22×C37semidirect
1021. #490C22×C37semidirect
1022. #488C22×C37semidirect
1023. #488C22×C37semidirect
1025. #485C22×C37semidirect
1026. #484C22×C37semidirect
1027. #484C22×C37semidirect
1028. #483C22×C37semidirect
1029. #483C22×C37semidirect
1031. #482C22×C37semidirect
1033. #481C22×C37semidirect
1035. #480C22×C37semidirect
1036. #479C22×C37semidirect
1037. #479C22×C37semidirect
1038. #479C22×C37semidirect
1039. #479C22×C37semidirect
1041. #470C22×C37semidirect
1047. #468C22×C37semidirect
1049. #467C22×C37semidirect
1055. #465C22×C37semidirect
1060. #464C22×C37semidirect
1061. #464C22×C37semidirect
1064. #462C22×C37semidirect
1066. #460C22×C37semidirect
1072. #452C22×C37semidirect
1073. #452C22×C37semidirect
1074. #452C22×C37semidirect
1075. #452C22×C37semidirect
1076. #452C22×C37semidirect
1077. #452C22×C37semidirect
1080. #451C22×C37semidirect
1081. #451C22×C37semidirect
1082. #451C22×C37semidirect
1083. #451C22×C37semidirect
1084. #451C22×C37semidirect
1102. #448C22×C37semidirect
1104. #441C22×C37semidirect
1105. #441C22×C37semidirect
1108. C4×Q16C22×C37semidirect
1109. C4×Q16C22×C37semidirect
1113. #436C22×C37semidirect
1116. #435C22×C37semidirect
1117. #435C22×C37semidirect
1119. C8×D4C22×C37semidirect
1120. #432C22×C37semidirect
1121. #431C22×C37semidirect
1123. #419C22×C37semidirect
1124. #417C22×C37semidirect
1125. #417C22×C37semidirect
1127. #416C22×C37semidirect
1128. C2×#103C22×C37semidirect
1129. C2×#103C22×C37semidirect
1132. #408C22×C37semidirect
1133. #408C22×C37semidirect
1134. C37#61681direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35512
C37×#34972
C37×#33272
C37×#33262
C37×#33202
C37×#33172
C37×#33122
C37×#33092
C37×#33012
C37×#33002
C37×#32852
C37×#32822
C37×#32772
C37×#32752
C37×#32712
C37×#32702
C37×#32682
C37×#32662
C37×#32192
C37×#32122
C37×#32042
C37×#32032
C37×#32012
C37×#31982
C37×#31172
C37×#31082
C37×#30132
C37×#30112
C37×#30102
C37×#29812
#6168137