Finite Group Databasebeta

← C37×#61611 #22682864

Subgroups — C37×#61611 #22682864

Order 9472.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3542C211yesmaximal, characteristic, complemented
2C37×#3486C211yesmaximal, characteristic, complemented
3C37×#3329C211yesmaximal, characteristic, complemented
4C37×#3326C211yesmaximal, characteristic, complemented
5C37×#3321C211yesmaximal, characteristic, complemented
6C37×#3320C211yesmaximal, characteristic, complemented
7C37×#3312C211yesmaximal, characteristic, complemented
8C37×#3308C211yesmaximal, characteristic, complemented
9C37×#3300C211yesmaximal, characteristic, complemented
10C37×#3298C211yesmaximal, characteristic, complemented
11C37×#3282C211yesmaximal, characteristic, complemented
12D4×SD16×C37C211yesmaximal, characteristic, complemented
13C37×#3278C211yesmaximal, characteristic, complemented
14C37×#3275C211yesmaximal, characteristic, complemented
15C37×#3271C211yesmaximal, characteristic, complemented
16C37×#3266C211yesmaximal, characteristic, complemented
17C37×#3266C211yesmaximal, characteristic, complemented
18C37×#3265C211yesmaximal, characteristic, complemented
19C37×#3225C211yesmaximal, characteristic, complemented
20C37×#3221C211yesmaximal, characteristic, complemented
21C37×#3201C211yesmaximal, characteristic, complemented
22C37×#3200C211yesmaximal, characteristic, complemented
23C37×#3194C211yesmaximal, characteristic, complemented
24C37×#3191C211yesmaximal, characteristic, complemented
25C37×#3126C211yesmaximal, characteristic, complemented
26C37×#3121C211yesmaximal, characteristic, complemented
27C37×#3013C211yesmaximal, characteristic, complemented
28C37×#3010C211yesmaximal, characteristic, complemented
29C37×#3004C211yesmaximal, characteristic, complemented
30C2×C37×#448C211yesmaximal, characteristic, complemented
31C37×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C37C2211yescharacteristic, complemented
33C23×Q8×C37C2211yescharacteristic, complemented
34C2×#137×C37C2211yescharacteristic, complemented
35C2×#137×C37C2211yescharacteristic, complemented
36C2×#137×C37C2211yescharacteristic, complemented
37C2×AGL(1,ℤ/8)×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C22×SD16×C37C2211yescharacteristic
40C22×SD16×C37C2211yescharacteristic
41C22×SD16×C37C2211yescharacteristic, complemented
42C37×#562—21no—
43C37×#560—21no—
44C37×#555C2211yescharacteristic
45C37×#553C2211yescharacteristic
46C37×#552C2211yescharacteristic
47C37×#551—21no—
48C37×#550C2211yescharacteristic
49D4×Q8×C37—21no—
50D4×Q8×C37—21no—
51D4×Q8×C37C2211yescharacteristic
52D4×Q8×C37C2211yescharacteristic, complemented
53D4×Q8×C37C2211yescharacteristic, complemented
54D4×Q8×C37C2211yescharacteristic, complemented
55C37×#548—21no—
56C37×#548—21no—
57C37×#548C2211yescharacteristic
58C37×#548C2211yescharacteristic, complemented
59C37×#548C2211yescharacteristic, complemented
60C37×#548C2211yescharacteristic, complemented
61C37×#547C2211yescharacteristic
62C37×#546—21no—
63C37×#546C2211yescharacteristic
64C37×#546C2211yescharacteristic
65D42×C37C2211yescharacteristic
66C37×#542C2211yescharacteristic
67C37×#540—21no—
68C37×#540C2211yescharacteristic
69C37×#538—21no—
70C37×#537C2211yescharacteristic
71C37×#536—21no—
72C37×#536—21no—
73C37×#536C2211yescharacteristic, complemented
74C37×#536C2211yescharacteristic, complemented
75C37×#535—21no—
76C37×#535C2211yescharacteristic
77C37×#534—21no—
78C37×#525—21no—
79C37×#525—21no—
80C37×#525C2211yescharacteristic
81C37×#525C2211yescharacteristic
82C37×#525C2211yescharacteristic, complemented
83C2×#121×C37C2211yescharacteristic
84C37×#519C2211yescharacteristic, complemented
85C37×#497C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#492C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#487C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#485C2211yescharacteristic, complemented
95C37×#485C2211yescharacteristic, complemented
96C37×#485C2211yescharacteristic, complemented
97C37×#484C2211yescharacteristic, complemented
98C37×#483C2211yescharacteristic, complemented
99C37×#483C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic
101C37×#482C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic, complemented
103C37×#482C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#479C2211yescharacteristic, complemented
107C37×#477C2211yescharacteristic, complemented
108C37×#475C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic, complemented
110C37×#469C2211yescharacteristic
111C37×#469C2211yescharacteristic, complemented
112C37×#468C2211yescharacteristic
113C37×#468C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic, complemented
115C37×#468C2211yescharacteristic, complemented
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic, complemented
118C37×#467C2211yescharacteristic, complemented
119C37×#466C2211yescharacteristic
120C37×#465C2211yescharacteristic
121C37×#465C2211yescharacteristic, complemented
122C37×#465C2211yescharacteristic, complemented
123C37×#465C2211yescharacteristic, complemented
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#463C2211yescharacteristic, complemented
129C37×#463C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#462C2211yescharacteristic, complemented
132C37×#461C2211yescharacteristic, complemented
133C37×#461C2211yescharacteristic, complemented
134C37×#461C2211yescharacteristic, complemented
135C37×#460C2211yescharacteristic, complemented
136C37×#460C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic, complemented
138C37×#452C2211yescharacteristic, complemented
139C37×#452C2211yescharacteristic, complemented
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#451C2211yescharacteristic, complemented
143C37×#451C2211yescharacteristic, complemented
144C37×#451C2211yescharacteristic, complemented
145C37×#451C2211yescharacteristic, complemented
146C37×#451C2211yescharacteristic, complemented
147C37×#450C2211yescharacteristic
148C37×#450C2211yescharacteristic, complemented
149C37×#450C2211yescharacteristic, complemented
150C37×#449C2211yescharacteristic
151C37×#449C2211yescharacteristic, complemented
152C37×#449C2211yescharacteristic, complemented
153C37×#449C2211yescharacteristic, complemented
154C37×#449C2211yescharacteristic, complemented
155C37×#449C2211yescharacteristic, complemented
156C37×#449C2211yescharacteristic, complemented
157C37×#448C2211yescharacteristic
158C37×#448C2211yescharacteristic
159C37×#448C2211yescharacteristic
160C37×#448C2211yescharacteristic
161C37×#448C2211yescharacteristic
162C37×#448C2211yescharacteristic
163C37×#448C2211yescharacteristic, complemented
164C37×#448C2211yescharacteristic, complemented
165C37×#448C2211yescharacteristic, complemented
166C37×#448C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic, complemented
168C37×#448C2211yescharacteristic, complemented
169C37×#448C2211yescharacteristic, complemented
170C37×#448C2211yescharacteristic, complemented
171C37×#448C2211yescharacteristic, complemented
172C37×#447C2211yescharacteristic
173C37×#441C2211yescharacteristic, complemented
174C37×#440C2211yescharacteristic, complemented
175C37×#440C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×SD16×C37C2211yescharacteristic, complemented
179C4×SD16×C37C2211yescharacteristic, complemented
180C4×SD16×C37C2211yescharacteristic, complemented
181C37×#436C2211yescharacteristic, complemented
182C37×#436C2211yescharacteristic, complemented
183C37×#435C2211yescharacteristic
184C37×#435C2211yescharacteristic, complemented
185C37×#435C2211yescharacteristic, complemented
186C37×#435C2211yescharacteristic, complemented
187C8×D4×C37C2211yescharacteristic
188C8×D4×C37C2211yescharacteristic, complemented
189C37×#433C2211yescharacteristic, complemented
190C37×#433C2211yescharacteristic, complemented
191C37×#419C2211yescharacteristic, complemented
192C37×#419C2211yescharacteristic, complemented
193C37×#419C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C2×#103×C37C2211yescharacteristic, complemented
197C2×#103×C37C2211yescharacteristic, complemented
198C2×#103×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic, complemented
200C37×#408C2211yescharacteristic, complemented
201C37×#407C2211yescharacteristic, complemented
202C2×C22⋊C8×C37C2211yescharacteristic, complemented
2032−1+4×C37—42no—
2042−1+4×C37—42no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37—21no—
209C2×#41×C37C2311yescharacteristic
210C2×#41×C37C2311yescharacteristic
211C2×#41×C37C2311yescharacteristic
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C22×Q8×C37—21no—
216C22×Q8×C37—21no—
217C22×Q8×C37—21no—
218C22×Q8×C37—21no—
219C22×Q8×C37—42no—
220C22×Q8×C37—42no—
221C22×Q8×C37C2311yescharacteristic
222C22×Q8×C37C2311yescharacteristic
223C22×Q8×C37C2311yescharacteristic
224C22×Q8×C37C2311yescharacteristic
225C22×Q8×C37C2311yescharacteristic
226C22×Q8×C37C2311yescharacteristic
227C22×Q8×C37C2311yescharacteristic
228C22×Q8×C37C2311yescharacteristic
229C22×D4×C37—21no—
230C22×D4×C37—21no—
231C22×D4×C37C2311yescharacteristic
232C22×D4×C37C2311yescharacteristic
233C23×C4×C37—21no—
234C23×C4×C37C2311yescharacteristic
235#137×C37—42no—
236#137×C37—42no—
237#137×C37—42no—
238AGL(1,ℤ/8)×C37—42no—
239#135×C37—42no—
240C2×Q16×C37C2311yescharacteristic
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×SD16×C37—42no—
246C2×SD16×C37—42no—
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×SD16×C37C2311yescharacteristic
261C2×SD16×C37C2311yescharacteristic
262C2×SD16×C37C2311yescharacteristic
263C2×SD16×C37C2311yescharacteristic
264C2×D8×C37C2311yescharacteristic
265C2×D8×C37C2311yescharacteristic
266C2×D8×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C2×M16×C37C2311yescharacteristic
269C2×M16×C37C2311yescharacteristic
270C2×M16×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C22×C8×C37C2311yescharacteristic
273C22×C8×C37C2311yescharacteristic
274C22×C8×C37C2311yescharacteristic
275C4⋊Q8×C37—21no—
276C4⋊Q8×C37—21no—
277C4⋊Q8×C37—21no—
278C4⋊Q8×C37—21no—
279C4⋊Q8×C37—21no—
280C4⋊Q8×C37C2311yescharacteristic
281C4⋊Q8×C37C2311yescharacteristic
282C4⋊Q8×C37C2311yescharacteristic
283#127×C37—21no—
284#127×C37—21no—
285#127×C37C2311yescharacteristic
286#126×C37—21no—
287#126×C37—21no—
288#126×C37—21no—
289#125×C37—21no—
290#125×C37C2311yescharacteristic
291#124×C37—21no—
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×C37C2311yescharacteristic
301#124×C37C2311yescharacteristic
302#124×C37C2311yescharacteristic
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
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—
316#123×C37—21no—
317#123×C37—21no—
318#123×C37D411yescharacteristic
319#123×C37D411yescharacteristic
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×C37—21no—
331C22⋊Q8×C37—21no—
332C22⋊Q8×C37—21no—
333C22⋊Q8×C37—21no—
334C22⋊Q8×C37—21no—
335C22⋊Q8×C37—21no—
336C22⋊Q8×C37—21no—
337C22⋊Q8×C37D411yescharacteristic
338C22⋊Q8×C37D411yescharacteristic
339C22⋊Q8×C37C2311yescharacteristic
340C22⋊Q8×C37C2311yescharacteristic
341C22⋊Q8×C37C2311yescharacteristic
342C22⋊Q8×C37C2311yescharacteristic
343C22⋊Q8×C37C2311yescharacteristic
344C22⋊Q8×C37C2311yescharacteristic
345C22⋊Q8×C37C2311yescharacteristic
346C22⋊Q8×C37C2311yescharacteristic
347C22⋊Q8×C37C2311yescharacteristic
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×C37D411yescharacteristic
367#121×C37D411yescharacteristic
368#121×C37C2311yescharacteristic
369#121×C37C2311yescharacteristic
370#121×C37C2311yescharacteristic
371#121×C37C2311yescharacteristic
372#121×C37C2311yescharacteristic
373#121×C37C2311yescharacteristic
374#121×C37C2311yescharacteristic
375#121×C37C2311yescharacteristic
376#121×C37C2311yescharacteristic
377#121×C37C2311yescharacteristic
378#121×C37C2311yescharacteristic
379#120×C37—21no—
380#120×C37—21no—
381#120×C37—21no—
382#120×C37—21no—
383#120×C37—21no—
384#120×C37—21no—
385#120×C37—21no—
386#120×C37—21no—
387#120×C37D411yescharacteristic
388#120×C37D411yescharacteristic
389C4×Q8×C37—21no—
390C4×Q8×C37—21no—
391C4×Q8×C37C2311yescharacteristic
392C4×Q8×C37C2311yescharacteristic
393C4×Q8×C37C2311yescharacteristic
394C4×Q8×C37C2311yescharacteristic
395C4×Q8×C37C2311yescharacteristic
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
416C4×D4×C37C2311yescharacteristic
417#117×C37—21no—
418#117×C37—21no—
419#117×C37—21no—
420#117×C37—21no—
421#117×C37C2311yescharacteristic
422#117×C37C2311yescharacteristic
423#117×C37C2311yescharacteristic
424#117×C37C2311yescharacteristic
425C2×C4⋊C4×C37C2311yescharacteristic
426C2×C4⋊C4×C37C2311yescharacteristic
427C2×C22⋊C4×C37—21no—
428C2×C22⋊C4×C37—21no—
429C2×C22⋊C4×C37—21no—
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#103×C37C2311yescharacteristic
463#103×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—
491C24×C37—21no—
492C24×C37C2×D411yescharacteristic
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—44no—
502#41×C37—44no—
503#41×C37—41no—
504#41×C37—41no—
505#41×C37—41no—
506#41×C37—41no—
507#41×C37—44no—
508#41×C37—82no—
509C2×Q8×C37—22no—
510C2×Q8×C37—22no—
511C2×Q8×C37—21no—
512C2×Q8×C37—21no—
513C2×Q8×C37—21no—
514C2×Q8×C37—21no—
515C2×Q8×C37—21no—
516C2×Q8×C37—21no—
517C2×Q8×C37—21no—
518C2×Q8×C37—21no—
519C2×Q8×C37—21no—
520C2×Q8×C37—22no—
521C2×Q8×C37—22no—
522C2×Q8×C37—22no—
523C2×Q8×C37—22no—
524C2×Q8×C37—22no—
525C2×Q8×C37—22no—
526C2×Q8×C37—41no—
527C2×Q8×C37—41no—
528C2×Q8×C37—41no—
529C2×Q8×C37—41no—
530C2×Q8×C37—41no—
531C2×Q8×C37—41no—
532C2×Q8×C37—41no—
533C2×Q8×C37—41no—
534C2×Q8×C37—44no—
535C2×Q8×C37—44no—
536C2×Q8×C37—44no—
537C2×Q8×C37—44no—
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—41no—
566C2×D4×C37—41no—
567C2×D4×C37—41no—
568C2×D4×C37—41no—
569C2×D4×C37—82no—
570C2×D4×C37—82no—
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—41no—
601C22×C4×C37—41no—
602C22×C4×C37—44no—
603C22×C4×C37C2×D411yescharacteristic
604C22×C4×C37C2×D411yescharacteristic
605C22×C4×C37C2×D411yescharacteristic
606C22×C4×C37C2411yescharacteristic
607C22×C4×C37C2411yescharacteristic
608C22×C4×C37C2411yescharacteristic
609C22×C4×C37C2411yescharacteristic
610C22×C4×C37C2411yescharacteristic
611Q16×C37—22no—
612Q16×C37—22no—
613Q16×C37—41no—
614Q16×C37—41no—
615Q16×C37—41no—
616SD16×C37—22no—
617SD16×C37—22no—
618SD16×C37—22no—
619SD16×C37—22no—
620SD16×C37—22no—
621SD16×C37—22no—
622SD16×C37—41no—
623SD16×C37—41no—
624SD16×C37—41no—
625SD16×C37—41no—
626SD16×C37—41no—
627SD16×C37—41no—
628SD16×C37—41no—
629SD16×C37—41no—
630SD16×C37—41no—
631SD16×C37—41no—
632D8×C37—41no—
633D8×C37—41no—
634D8×C37—41no—
635M16×C37—41no—
636M16×C37—41no—
637M16×C37—41no—
638M16×C37—41no—
639C2×C8×C37—41no—
640C2×C8×C37—41no—
641C2×C8×C37—41no—
642C2×C8×C37—41no—
643C2×C8×C37C2411yescharacteristic
644C2×C8×C37C2411yescharacteristic
645C2×C8×C37C2411yescharacteristic
646C2×C8×C37C2411yescharacteristic
647C2×C8×C37C2411yescharacteristic
648C2×C8×C37C2411yescharacteristic
649C2×C8×C37C2411yescharacteristic
650C2×C8×C37C2411yescharacteristic
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×C37—21no—
674C4⋊C4×C37C2×D411yescharacteristic
675C4⋊C4×C37C2×D411yescharacteristic
676C4⋊C4×C37C2×D411yescharacteristic
677C4⋊C4×C37C2×D411yescharacteristic
678C4⋊C4×C37C2×D411yescharacteristic
679C4⋊C4×C37C2×D411yescharacteristic
680C4⋊C4×C37C2411yescharacteristic
681C4⋊C4×C37C2411yescharacteristic
682C4⋊C4×C37C2411yescharacteristic
683C4⋊C4×C37C2411yescharacteristic
684C4⋊C4×C37C2411yescharacteristic
685C4⋊C4×C37C2411yescharacteristic
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×C37—21no—
716C22⋊C4×C37—21no—
717C22⋊C4×C37—21no—
718C22⋊C4×C37C2×D411yescharacteristic
719C22⋊C4×C37C2×D411yescharacteristic
720C22⋊C4×C37C2×D411yescharacteristic
721C22⋊C4×C37C2×D411yescharacteristic
722C22⋊C4×C37C2×D411yescharacteristic
723C22⋊C4×C37C2×D411yescharacteristic
724C22⋊C4×C37C2×D411yescharacteristic
725C22⋊C4×C37C2×D411yescharacteristic
726C22⋊C4×C37C2×D411yescharacteristic
727C22⋊C4×C37C2×D411yescharacteristic
728C42×C37—21no—
729C42×C37—21no—
730C42×C37—21no—
731C42×C37—21no—
732C42×C37—21no—
733C42×C37—21no—
734C42×C37—21no—
735C42×C37—21no—
736C42×C37C2411yescharacteristic
737C42×C37C2411yescharacteristic
738C23×C37—22no—
739C23×C37—21no—
740C23×C37—21no—
741C23×C37—21no—
742C23×C37—21no—
743C23×C37—41no—
744C23×C37—41no—
745C23×C37—42no—
746C23×C37—81no—
747C23×C37—81no—
748C23×C37—81no—
749C23×C37—81no—
750C23×C37—81no—
751C23×C37C22×D411yescharacteristic
752C23×C37C22×D411yescharacteristic
753C23×C37C22×D411yescharacteristic
754C23×C37C22×D411yescharacteristic
755C23×C37C22×D411yescharacteristic
756Q8×C37—24no—
757Q8×C37—21no—
758Q8×C37—21no—
759Q8×C37—21no—
760Q8×C37—21no—
761Q8×C37—21no—
762Q8×C37—21no—
763Q8×C37—21no—
764Q8×C37—21no—
765Q8×C37—21no—
766Q8×C37—21no—
767Q8×C37—41no—
768Q8×C37—42no—
769Q8×C37—42no—
770Q8×C37—42no—
771Q8×C37—42no—
772Q8×C37—42no—
773Q8×C37—42no—
774Q8×C37—42no—
775Q8×C37—81no—
776Q8×C37H(5,𝔽2)12yes—
777Q8×C37H(5,𝔽2)12yes—
778D4×C37—22no—
779D4×C37—22no—
780D4×C37—21no—
781D4×C37—21no—
782D4×C37—21no—
783D4×C37—21no—
784D4×C37—21no—
785D4×C37—21no—
786D4×C37—21no—
787D4×C37—21no—
788D4×C37—41no—
789D4×C37—41no—
790D4×C37—41no—
791D4×C37—41no—
792D4×C37—41no—
793D4×C37—42no—
794D4×C37—42no—
795D4×C37—42no—
796D4×C37—42no—
797D4×C37—42no—
798D4×C37—42no—
799D4×C37—81no—
800D4×C37—81no—
801D4×C37—81no—
802D4×C37—81no—
803D4×C37—81no—
804D4×C37—81no—
805D4×C37—81no—
806D4×C37—81no—
807D4×C37—81no—
808D4×C37—81no—
809D4×C37—81no—
810D4×C37—81no—
811D4×C37—81no—
812D4×C37—81no—
813C2×C4×C37—24no—
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—21no—
830C2×C4×C37—21no—
831C2×C4×C37—21no—
832C2×C4×C37—21no—
833C2×C4×C37—21no—
834C2×C4×C37—21no—
835C2×C4×C37—21no—
836C2×C4×C37—41no—
837C2×C4×C37—41no—
838C2×C4×C37—41no—
839C2×C4×C37—42no—
840C2×C4×C37—42no—
841C2×C4×C37—42no—
842C2×C4×C37—42no—
843C2×C4×C37—42no—
844C2×C4×C37—42no—
845C2×C4×C37—42no—
846C2×C4×C37—42no—
847C2×C4×C37—42no—
848C2×C4×C37—42no—
849C2×C4×C37—42no—
850C2×C4×C37—81no—
851C2×C4×C37—81no—
852C2×C4×C37—81no—
853C2×C4×C37—81no—
854C2×C4×C37—81no—
855C2×C4×C37—81no—
856C2×C4×C37C22×D411yescharacteristic
857C2×C4×C37C22×D411yescharacteristic
858C2×C4×C37C22×D411yescharacteristic
859C2×C4×C37C22×D411yescharacteristic
860C2×C4×C37C22×D411yescharacteristic
861C2×C4×C37C22×D411yescharacteristic
862C2×C4×C37C22×D411yescharacteristic
863C2×C4×C37C22×D411yescharacteristic
864C2×C4×C37C22×D411yescharacteristic
865C2×C4×C37C2511yescharacteristic
866C8×C37—21no—
867C8×C37—21no—
868C8×C37—21no—
869C8×C37—21no—
870C8×C37—21no—
871C8×C37—21no—
872C8×C37—21no—
873C8×C37—21no—
874#61611C3711yesmaximal, characteristic, direct product factor, Sylow
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—21no—
884C22×C37—21no—
885C22×C37—21no—
886C22×C37—21no—
887C22×C37—21no—
888C22×C37—21no—
889C22×C37—44no—
890C22×C37—41no—
891C22×C37—41no—
892C22×C37—41no—
893C22×C37—41no—
894C22×C37—41no—
895C22×C37—41no—
896C22×C37—41no—
897C22×C37—41no—
898C22×C37—41no—
899C22×C37—41no—
900C22×C37—41no—
901C22×C37—41no—
902C22×C37—162no—
903C22×C37—162no—
904C22×C37#57712yes—
905C22×C37C23×D411yescharacteristic
906C4×C37—21no—
907C4×C37—21no—
908C4×C37—22no—
909C4×C37—22no—
910C4×C37—21no—
911C4×C37—21no—
912C4×C37—21no—
913C4×C37—21no—
914C4×C37—21no—
915C4×C37—21no—
916C4×C37—21no—
917C4×C37—41no—
918C4×C37—41no—
919C4×C37—41no—
920C4×C37—41no—
921C4×C37—41no—
922C4×C37—41no—
923C4×C37—41no—
924C4×C37—41no—
925C4×C37—41no—
926C4×C37—41no—
927C4×C37C2×H(5,𝔽2)11yescharacteristic
928C4×C37C2×H(5,𝔽2)11yescharacteristic
929#3542C2×C3711yescharacteristic, complemented
930#3486C2×C3711yescharacteristic, complemented
931#3329C2×C3711yescharacteristic, complemented
932#3326C2×C3711yescharacteristic, complemented
933#3321C2×C3711yescharacteristic, complemented
934#3320C2×C3711yescharacteristic, complemented
935#3312C2×C3711yescharacteristic, complemented
936#3308C2×C3711yescharacteristic, complemented
937#3300C2×C3711yescharacteristic, complemented
938#3298C2×C3711yescharacteristic, complemented
939#3282C2×C3711yescharacteristic, complemented
940D4×SD16C2×C3711yescharacteristic, complemented
941#3278C2×C3711yescharacteristic, complemented
942#3275C2×C3711yescharacteristic, complemented
943#3271C2×C3711yescharacteristic, complemented
944#3266C2×C3711yescharacteristic, complemented
945#3266C2×C3711yescharacteristic, complemented
946#3265C2×C3711yescharacteristic, complemented
947#3225C2×C3711yescharacteristic, complemented
948#3221C2×C3711yescharacteristic, complemented
949#3201C2×C3711yescharacteristic, complemented
950#3200C2×C3711yescharacteristic, complemented
951#3194C2×C3711yescharacteristic, complemented
952#3191C2×C3711yescharacteristic, complemented
953#3126C2×C3711yescharacteristic, complemented
954#3121C2×C3711yescharacteristic, complemented
955#3013C2×C3711yescharacteristic, complemented
956#3010C2×C3711yescharacteristic, complemented
957#3004C2×C3711yescharacteristic, complemented
958C2×#448C2×C3711yescharacteristic, complemented
959#2976C2×C3711yescharacteristic, complemented
960C2×C37—22no—
961C2×C37—41no—
962C2×C37—41no—
963C2×C37—41no—
964C2×C37—41no—
965C2×C37—81no—
966C2×C37—81no—
967C2×C37—81no—
968C2×C37—81no—
969C2×C37#348411yescharacteristic
970C2×C37C2×#57711yescharacteristic
971C2×C37#358611yescharacteristic
972C2×2−1+4C22×C3711yescharacteristic, complemented
973C23×Q8C22×C3711yescharacteristic, complemented
974C2×#137C22×C3711yescharacteristic, complemented
975C2×#137C22×C3711yescharacteristic, complemented
976C2×#137C22×C3711yescharacteristic, complemented
977C2×AGL(1,ℤ/8)C22×C3711yescharacteristic, complemented
978C2×#135C22×C3711yescharacteristic, complemented
979C22×SD16C22×C3711yescharacteristic
980C22×SD16C22×C3711yescharacteristic
981C22×SD16C22×C3711yescharacteristic, complemented
982#562—21no—
983#560—21no—
984#555C22×C3711yescharacteristic
985#553C22×C3711yescharacteristic
986#552C22×C3711yescharacteristic
987#551—21no—
988#550C22×C3711yescharacteristic
989D4×Q8—21no—
990D4×Q8—21no—
991D4×Q8C22×C3711yescharacteristic
992D4×Q8C22×C3711yescharacteristic, complemented
993D4×Q8C22×C3711yescharacteristic, complemented
994D4×Q8C22×C3711yescharacteristic, complemented
995#548—21no—
996#548—21no—
997#548C22×C3711yescharacteristic
998#548C22×C3711yescharacteristic, complemented
999#548C22×C3711yescharacteristic, complemented
1000#548C22×C3711yescharacteristic, complemented
1001#547C22×C3711yescharacteristic
1002#546—21no—
1003#546C22×C3711yescharacteristic
1004#546C22×C3711yescharacteristic
1005D42C22×C3711yescharacteristic
1006#542C22×C3711yescharacteristic
1007#540—21no—
1008#540C22×C3711yescharacteristic
1009#538—21no—
1010#537C22×C3711yescharacteristic
1011#536—21no—
1012#536—21no—
1013#536C22×C3711yescharacteristic, complemented
1014#536C22×C3711yescharacteristic, complemented
1015#535—21no—
1016#535C22×C3711yescharacteristic
1017#534—21no—
1018#525—21no—
1019#525—21no—
1020#525C22×C3711yescharacteristic
1021#525C22×C3711yescharacteristic
1022#525C22×C3711yescharacteristic, complemented
1023C2×#121C22×C3711yescharacteristic
1024#519C22×C3711yescharacteristic, complemented
1025#497C22×C3711yescharacteristic, complemented
1026#496C22×C3711yescharacteristic, complemented
1027#495C22×C3711yescharacteristic, complemented
1028#492C22×C3711yescharacteristic, complemented
1029#491C22×C3711yescharacteristic, complemented
1030#489C22×C3711yescharacteristic, complemented
1031#488C22×C3711yescharacteristic, complemented
1032#487C22×C3711yescharacteristic, complemented
1033#485C22×C3711yescharacteristic, complemented
1034#485C22×C3711yescharacteristic, complemented
1035#485C22×C3711yescharacteristic, complemented
1036#485C22×C3711yescharacteristic, complemented
1037#484C22×C3711yescharacteristic, complemented
1038#483C22×C3711yescharacteristic, complemented
1039#483C22×C3711yescharacteristic, complemented
1040#482C22×C3711yescharacteristic
1041#482C22×C3711yescharacteristic, complemented
1042#482C22×C3711yescharacteristic, complemented
1043#482C22×C3711yescharacteristic, complemented
1044#480C22×C3711yescharacteristic, complemented
1045#479C22×C3711yescharacteristic, complemented
1046#479C22×C3711yescharacteristic, complemented
1047#477C22×C3711yescharacteristic, complemented
1048#475C22×C3711yescharacteristic, complemented
1049#470C22×C3711yescharacteristic, complemented
1050#469C22×C3711yescharacteristic
1051#469C22×C3711yescharacteristic, complemented
1052#468C22×C3711yescharacteristic
1053#468C22×C3711yescharacteristic, complemented
1054#468C22×C3711yescharacteristic, complemented
1055#468C22×C3711yescharacteristic, complemented
1056#468C22×C3711yescharacteristic, complemented
1057#467C22×C3711yescharacteristic, complemented
1058#467C22×C3711yescharacteristic, complemented
1059#466C22×C3711yescharacteristic
1060#465C22×C3711yescharacteristic
1061#465C22×C3711yescharacteristic, complemented
1062#465C22×C3711yescharacteristic, complemented
1063#465C22×C3711yescharacteristic, complemented
1064#465C22×C3711yescharacteristic, complemented
1065#464C22×C3711yescharacteristic, complemented
1066#464C22×C3711yescharacteristic, complemented
1067#464C22×C3711yescharacteristic, complemented
1068#463C22×C3711yescharacteristic, complemented
1069#463C22×C3711yescharacteristic, complemented
1070#463C22×C3711yescharacteristic, complemented
1071#462C22×C3711yescharacteristic, complemented
1072#461C22×C3711yescharacteristic, complemented
1073#461C22×C3711yescharacteristic, complemented
1074#461C22×C3711yescharacteristic, complemented
1075#460C22×C3711yescharacteristic, complemented
1076#460C22×C3711yescharacteristic, complemented
1077#452C22×C3711yescharacteristic, complemented
1078#452C22×C3711yescharacteristic, complemented
1079#452C22×C3711yescharacteristic, complemented
1080#452C22×C3711yescharacteristic, complemented
1081#452C22×C3711yescharacteristic, complemented
1082#451C22×C3711yescharacteristic, complemented
1083#451C22×C3711yescharacteristic, complemented
1084#451C22×C3711yescharacteristic, complemented
1085#451C22×C3711yescharacteristic, complemented
1086#451C22×C3711yescharacteristic, complemented
1087#450C22×C3711yescharacteristic
1088#450C22×C3711yescharacteristic, complemented
1089#450C22×C3711yescharacteristic, complemented
1090#449C22×C3711yescharacteristic
1091#449C22×C3711yescharacteristic, complemented
1092#449C22×C3711yescharacteristic, complemented
1093#449C22×C3711yescharacteristic, complemented
1094#449C22×C3711yescharacteristic, complemented
1095#449C22×C3711yescharacteristic, complemented
1096#449C22×C3711yescharacteristic, complemented
1097#448C22×C3711yescharacteristic
1098#448C22×C3711yescharacteristic
1099#448C22×C3711yescharacteristic
1100#448C22×C3711yescharacteristic
1101#448C22×C3711yescharacteristic
1102#448C22×C3711yescharacteristic
1103#448C22×C3711yescharacteristic, complemented
1104#448C22×C3711yescharacteristic, complemented
1105#448C22×C3711yescharacteristic, complemented
1106#448C22×C3711yescharacteristic, complemented
1107#448C22×C3711yescharacteristic, complemented
1108#448C22×C3711yescharacteristic, complemented
1109#448C22×C3711yescharacteristic, complemented
1110#448C22×C3711yescharacteristic, complemented
1111#448C22×C3711yescharacteristic, complemented
1112#447C22×C3711yescharacteristic
1113#441C22×C3711yescharacteristic, complemented
1114#440C22×C3711yescharacteristic, complemented
1115#440C22×C3711yescharacteristic, complemented
1116#440C22×C3711yescharacteristic, complemented
1117C4×Q16C22×C3711yescharacteristic, complemented
1118C4×SD16C22×C3711yescharacteristic, complemented
1119C4×SD16C22×C3711yescharacteristic, complemented
1120C4×SD16C22×C3711yescharacteristic, complemented
1121#436C22×C3711yescharacteristic, complemented
1122#436C22×C3711yescharacteristic, complemented
1123#435C22×C3711yescharacteristic
1124#435C22×C3711yescharacteristic, complemented
1125#435C22×C3711yescharacteristic, complemented
1126#435C22×C3711yescharacteristic, complemented
1127C8×D4C22×C3711yescharacteristic
1128C8×D4C22×C3711yescharacteristic, complemented
1129#433C22×C3711yescharacteristic, complemented
1130#433C22×C3711yescharacteristic, complemented
1131#419C22×C3711yescharacteristic, complemented
1132#419C22×C3711yescharacteristic, complemented
1133#419C22×C3711yescharacteristic, complemented
1134#417C22×C3711yescharacteristic, complemented
1135#416C22×C3711yescharacteristic, complemented
1136C2×#103C22×C3711yescharacteristic, complemented
1137C2×#103C22×C3711yescharacteristic, complemented
1138C2×#103C22×C3711yescharacteristic, complemented
1139#408C22×C3711yescharacteristic, complemented
1140#408C22×C3711yescharacteristic, complemented
1141#407C22×C3711yescharacteristic, complemented
1142C2×C22⋊C8C22×C3711yescharacteristic, complemented
1143C37#6161111yescharacteristic, direct product factor, Sylow
11442−1+4—42no—
11452−1+4—42no—
1146C2×#41—21no—
1147C2×#41—21no—
1148C2×#41—21no—
1149C2×#41—21no—
1150C2×#41C23×C3711yescharacteristic
1151C2×#41C23×C3711yescharacteristic
1152C2×#41C23×C3711yescharacteristic
1153C2×#41C23×C3711yescharacteristic
1154C2×#41C23×C3711yescharacteristic
1155C2×#41C23×C3711yescharacteristic
1156C22×Q8—21no—
1157C22×Q8—21no—
1158C22×Q8—21no—
1159C22×Q8—21no—
1160C22×Q8—42no—
1161C22×Q8—42no—
1162C22×Q8C23×C3711yescharacteristic
1163C22×Q8C23×C3711yescharacteristic
1164C22×Q8C23×C3711yescharacteristic
1165C22×Q8C23×C3711yescharacteristic
1166C22×Q8C23×C3711yescharacteristic
1167C22×Q8C23×C3711yescharacteristic
1168C22×Q8C23×C3711yescharacteristic
1169C22×Q8C23×C3711yescharacteristic
1170C22×D4—21no—
1171C22×D4—21no—
1172C22×D4C23×C3711yescharacteristic
1173C22×D4C23×C3711yescharacteristic
1174C23×C4—21no—
1175C23×C4C23×C3711yescharacteristic
1176#137—42no—
1177#137—42no—
1178#137—42no—
1179AGL(1,ℤ/8)—42no—
1180#135—42no—
1181C2×Q16C23×C3711yescharacteristic
1182C2×Q16C23×C3711yescharacteristic
1183C2×Q16C23×C3711yescharacteristic
1184C2×Q16C23×C3711yescharacteristic
1185C2×Q16C23×C3711yescharacteristic
1186C2×SD16—42no—
1187C2×SD16—42no—
1188C2×SD16—42no—
1189C2×SD16C23×C3711yescharacteristic
1190C2×SD16C23×C3711yescharacteristic
1191C2×SD16C23×C3711yescharacteristic
1192C2×SD16C23×C3711yescharacteristic
1193C2×SD16C23×C3711yescharacteristic
1194C2×SD16C23×C3711yescharacteristic
1195C2×SD16C23×C3711yescharacteristic
1196C2×SD16C23×C3711yescharacteristic
1197C2×SD16C23×C3711yescharacteristic
1198C2×SD16C23×C3711yescharacteristic
1199C2×SD16C23×C3711yescharacteristic
1200C2×SD16C23×C3711yescharacteristic
1201C2×SD16C23×C3711yescharacteristic
1202C2×SD16C23×C3711yescharacteristic
1203C2×SD16C23×C3711yescharacteristic
1204C2×SD16C23×C3711yescharacteristic
1205C2×D8C23×C3711yescharacteristic
1206C2×D8C23×C3711yescharacteristic
1207C2×D8C23×C3711yescharacteristic
1208C2×M16C23×C3711yescharacteristic
1209C2×M16C23×C3711yescharacteristic
1210C2×M16C23×C3711yescharacteristic
1211C2×M16C23×C3711yescharacteristic
1212C22×C8C23×C3711yescharacteristic
1213C22×C8C23×C3711yescharacteristic
1214C22×C8C23×C3711yescharacteristic
1215C22×C8C23×C3711yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—21no—
1218C4⋊Q8—21no—
1219C4⋊Q8—21no—
1220C4⋊Q8—21no—
1221C4⋊Q8C23×C3711yescharacteristic
1222C4⋊Q8C23×C3711yescharacteristic
1223C4⋊Q8C23×C3711yescharacteristic
1224#127—21no—
1225#127—21no—
1226#127C23×C3711yescharacteristic
1227#126—21no—
1228#126—21no—
1229#126—21no—
1230#125—21no—
1231#125C23×C3711yescharacteristic
1232#124—21no—
1233#124—21no—
1234#124—21no—
1235#124—21no—
1236#124—21no—
1237#124—21no—
1238#124—21no—
1239#124—21no—
1240#124—21no—
1241#124C23×C3711yescharacteristic
1242#124C23×C3711yescharacteristic
1243#124C23×C3711yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—21no—
1251#123—21no—
1252#123—21no—
1253#123—21no—
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—21no—
1258#123—21no—
1259#123D4×C3711yescharacteristic
1260#123D4×C3711yescharacteristic
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8—21no—
1267C22⋊Q8—21no—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—21no—
1271C22⋊Q8—21no—
1272C22⋊Q8—21no—
1273C22⋊Q8—21no—
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8D4×C3711yescharacteristic
1279C22⋊Q8D4×C3711yescharacteristic
1280C22⋊Q8C23×C3711yescharacteristic
1281C22⋊Q8C23×C3711yescharacteristic
1282C22⋊Q8C23×C3711yescharacteristic
1283C22⋊Q8C23×C3711yescharacteristic
1284C22⋊Q8C23×C3711yescharacteristic
1285C22⋊Q8C23×C3711yescharacteristic
1286C22⋊Q8C23×C3711yescharacteristic
1287C22⋊Q8C23×C3711yescharacteristic
1288C22⋊Q8C23×C3711yescharacteristic
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#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121D4×C3711yescharacteristic
1308#121D4×C3711yescharacteristic
1309#121C23×C3711yescharacteristic
1310#121C23×C3711yescharacteristic
1311#121C23×C3711yescharacteristic
1312#121C23×C3711yescharacteristic
1313#121C23×C3711yescharacteristic
1314#121C23×C3711yescharacteristic
1315#121C23×C3711yescharacteristic
1316#121C23×C3711yescharacteristic
1317#121C23×C3711yescharacteristic
1318#121C23×C3711yescharacteristic
1319#121C23×C3711yescharacteristic
1320#120—21no—
1321#120—21no—
1322#120—21no—
1323#120—21no—
1324#120—21no—
1325#120—21no—
1326#120—21no—
1327#120—21no—
1328#120D4×C3711yescharacteristic
1329#120D4×C3711yescharacteristic
1330C4×Q8—21no—
1331C4×Q8—21no—
1332C4×Q8C23×C3711yescharacteristic
1333C4×Q8C23×C3711yescharacteristic
1334C4×Q8C23×C3711yescharacteristic
1335C4×Q8C23×C3711yescharacteristic
1336C4×Q8C23×C3711yescharacteristic
1337C4×D4—21no—
1338C4×D4—21no—
1339C4×D4—21no—
1340C4×D4—21no—
1341C4×D4—21no—
1342C4×D4—21no—
1343C4×D4—21no—
1344C4×D4—21no—
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—21no—
1348C4×D4—21no—
1349C4×D4—21no—
1350C4×D4—21no—
1351C4×D4C23×C3711yescharacteristic
1352C4×D4C23×C3711yescharacteristic
1353C4×D4C23×C3711yescharacteristic
1354C4×D4C23×C3711yescharacteristic
1355C4×D4C23×C3711yescharacteristic
1356C4×D4C23×C3711yescharacteristic
1357C4×D4C23×C3711yescharacteristic
1358#117—21no—
1359#117—21no—
1360#117—21no—
1361#117—21no—
1362#117C23×C3711yescharacteristic
1363#117C23×C3711yescharacteristic
1364#117C23×C3711yescharacteristic
1365#117C23×C3711yescharacteristic
1366C2×C4⋊C4C23×C3711yescharacteristic
1367C2×C4⋊C4C23×C3711yescharacteristic
1368C2×C22⋊C4—21no—
1369C2×C22⋊C4—21no—
1370C2×C22⋊C4—21no—
1371#107C23×C3711yescharacteristic
1372#107C23×C3711yescharacteristic
1373#107C23×C3711yescharacteristic
1374#107C23×C3711yescharacteristic
1375#106C23×C3711yescharacteristic
1376#106C23×C3711yescharacteristic
1377#106C23×C3711yescharacteristic
1378#106C23×C3711yescharacteristic
1379C4⋊C8C23×C3711yescharacteristic
1380C4⋊C8C23×C3711yescharacteristic
1381C4⋊C8C23×C3711yescharacteristic
1382C4⋊C8C23×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#103C23×C3711yescharacteristic
1395#103C23×C3711yescharacteristic
1396#103C23×C3711yescharacteristic
1397#103C23×C3711yescharacteristic
1398#103C23×C3711yescharacteristic
1399#103C23×C3711yescharacteristic
1400#103C23×C3711yescharacteristic
1401#103C23×C3711yescharacteristic
1402#103C23×C3711yescharacteristic
1403#103C23×C3711yescharacteristic
1404#103C23×C3711yescharacteristic
1405#102C23×C3711yescharacteristic
1406#102C23×C3711yescharacteristic
1407#102C23×C3711yescharacteristic
1408#102C23×C3711yescharacteristic
1409#102C23×C3711yescharacteristic
1410#102C23×C3711yescharacteristic
1411#102C23×C3711yescharacteristic
1412#102C23×C3711yescharacteristic
1413#102C23×C3711yescharacteristic
1414#102C23×C3711yescharacteristic
1415C22⋊C8C23×C3711yescharacteristic
1416C22⋊C8C23×C3711yescharacteristic
1417C22⋊C8C23×C3711yescharacteristic
1418C22⋊C8C23×C3711yescharacteristic
1419C22⋊C8C23×C3711yescharacteristic
1420C22⋊C8C23×C3711yescharacteristic
1421C22⋊C8C23×C3711yescharacteristic
1422C22⋊C8C23×C3711yescharacteristic
1423C22⋊C8C23×C3711yescharacteristic
1424C22⋊C8C23×C3711yescharacteristic
1425C22⋊C8C23×C3711yescharacteristic
1426C22⋊C8C23×C3711yescharacteristic
1427#97C23×C3711yescharacteristic
1428#97C23×C3711yescharacteristic
1429C4×C8C23×C3711yescharacteristic
1430C4×C8C23×C3711yescharacteristic
1431C24—21no—
1432C24—21no—
1433C24C2×D4×C3711yescharacteristic
1434#41—22no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—44no—
1443#41—44no—
1444#41—41no—
1445#41—41no—
1446#41—41no—
1447#41—41no—
1448#41—44no—
1449#41—82no—
1450C2×Q8—22no—
1451C2×Q8—22no—
1452C2×Q8—21no—
1453C2×Q8—21no—
1454C2×Q8—21no—
1455C2×Q8—21no—
1456C2×Q8—21no—
1457C2×Q8—21no—
1458C2×Q8—21no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—22no—
1464C2×Q8—22no—
1465C2×Q8—22no—
1466C2×Q8—22no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—41no—
1471C2×Q8—41no—
1472C2×Q8—41no—
1473C2×Q8—41no—
1474C2×Q8—41no—
1475C2×Q8—44no—
1476C2×Q8—44no—
1477C2×Q8—44no—
1478C2×Q8—44no—
1479C2×Q8C2×D4×C3711yescharacteristic
1480C2×Q8C24×C3711yescharacteristic
1481C2×Q8C24×C3711yescharacteristic
1482C2×Q8C24×C3711yescharacteristic
1483C2×Q8C24×C3711yescharacteristic
1484C2×Q8C24×C3711yescharacteristic
1485C2×Q8C24×C3711yescharacteristic
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—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—41no—
1507C2×D4—41no—
1508C2×D4—41no—
1509C2×D4—41no—
1510C2×D4—82no—
1511C2×D4—82no—
1512C2×D4C2×D4×C3711yescharacteristic
1513C2×D4C2×D4×C3711yescharacteristic
1514C2×D4C2×D4×C3711yescharacteristic
1515C2×D4C2×D4×C3711yescharacteristic
1516C2×D4C2×D4×C3711yescharacteristic
1517C2×D4C2×D4×C3711yescharacteristic
1518C2×D4C2×D4×C3711yescharacteristic
1519C2×D4C24×C3711yescharacteristic
1520C2×D4C24×C3711yescharacteristic
1521C2×D4C24×C3711yescharacteristic
1522C2×D4C24×C3711yescharacteristic
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×C4—21no—
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—41no—
1542C22×C4—41no—
1543C22×C4—44no—
1544C22×C4C2×D4×C3711yescharacteristic
1545C22×C4C2×D4×C3711yescharacteristic
1546C22×C4C2×D4×C3711yescharacteristic
1547C22×C4C24×C3711yescharacteristic
1548C22×C4C24×C3711yescharacteristic
1549C22×C4C24×C3711yescharacteristic
1550C22×C4C24×C3711yescharacteristic
1551C22×C4C24×C3711yescharacteristic
1552Q16—22no—
1553Q16—22no—
1554Q16—41no—
1555Q16—41no—
1556Q16—41no—
1557SD16—22no—
1558SD16—22no—
1559SD16—22no—
1560SD16—22no—
1561SD16—22no—
1562SD16—22no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—41no—
1567SD16—41no—
1568SD16—41no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573D8—41no—
1574D8—41no—
1575D8—41no—
1576M16—41no—
1577M16—41no—
1578M16—41no—
1579M16—41no—
1580C2×C8—41no—
1581C2×C8—41no—
1582C2×C8—41no—
1583C2×C8—41no—
1584C2×C8C24×C3711yescharacteristic
1585C2×C8C24×C3711yescharacteristic
1586C2×C8C24×C3711yescharacteristic
1587C2×C8C24×C3711yescharacteristic
1588C2×C8C24×C3711yescharacteristic
1589C2×C8C24×C3711yescharacteristic
1590C2×C8C24×C3711yescharacteristic
1591C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—21no—
1613C4⋊C4—21no—
1614C4⋊C4—21no—
1615C4⋊C4C2×D4×C3711yescharacteristic
1616C4⋊C4C2×D4×C3711yescharacteristic
1617C4⋊C4C2×D4×C3711yescharacteristic
1618C4⋊C4C2×D4×C3711yescharacteristic
1619C4⋊C4C2×D4×C3711yescharacteristic
1620C4⋊C4C2×D4×C3711yescharacteristic
1621C4⋊C4C24×C3711yescharacteristic
1622C4⋊C4C24×C3711yescharacteristic
1623C4⋊C4C24×C3711yescharacteristic
1624C4⋊C4C24×C3711yescharacteristic
1625C4⋊C4C24×C3711yescharacteristic
1626C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4C2×D4×C3711yescharacteristic
1660C22⋊C4C2×D4×C3711yescharacteristic
1661C22⋊C4C2×D4×C3711yescharacteristic
1662C22⋊C4C2×D4×C3711yescharacteristic
1663C22⋊C4C2×D4×C3711yescharacteristic
1664C22⋊C4C2×D4×C3711yescharacteristic
1665C22⋊C4C2×D4×C3711yescharacteristic
1666C22⋊C4C2×D4×C3711yescharacteristic
1667C22⋊C4C2×D4×C3711yescharacteristic
1668C22⋊C4C2×D4×C3711yescharacteristic
1669C42—21no—
1670C42—21no—
1671C42—21no—
1672C42—21no—
1673C42—21no—
1674C42—21no—
1675C42—21no—
1676C42—21no—
1677C42C24×C3711yescharacteristic
1678C42C24×C3711yescharacteristic
1679C23—22no—
1680C23—21no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—41no—
1685C23—41no—
1686C23—42no—
1687C23—81no—
1688C23—81no—
1689C23—81no—
1690C23—81no—
1691C23—81no—
1692C23C22×D4×C3711yescharacteristic
1693C23C22×D4×C3711yescharacteristic
1694C23C22×D4×C3711yescharacteristic
1695C23C22×D4×C3711yescharacteristic
1696C23C22×D4×C3711yescharacteristic
1697Q8—24no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—41no—
1709Q8—42no—
1710Q8—42no—
1711Q8—42no—
1712Q8—42no—
1713Q8—42no—
1714Q8—42no—
1715Q8—42no—
1716Q8—81no—
1717Q8H(5,𝔽2)×C3712yes—
1718Q8H(5,𝔽2)×C3712yes—
1719D4—22no—
1720D4—22no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—42no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—81no—
1745D4—81no—
1746D4—81no—
1747D4—81no—
1748D4—81no—
1749D4—81no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—81no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—41no—
1778C2×C4—41no—
1779C2×C4—41no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—42no—
1784C2×C4—42no—
1785C2×C4—42no—
1786C2×C4—42no—
1787C2×C4—42no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—42no—
1791C2×C4—81no—
1792C2×C4—81no—
1793C2×C4—81no—
1794C2×C4—81no—
1795C2×C4—81no—
1796C2×C4—81no—
1797C2×C4C22×D4×C3711yescharacteristic
1798C2×C4C22×D4×C3711yescharacteristic
1799C2×C4C22×D4×C3711yescharacteristic
1800C2×C4C22×D4×C3711yescharacteristic
1801C2×C4C22×D4×C3711yescharacteristic
1802C2×C4C22×D4×C3711yescharacteristic
1803C2×C4C22×D4×C3711yescharacteristic
1804C2×C4C22×D4×C3711yescharacteristic
1805C2×C4C22×D4×C3711yescharacteristic
1806C2×C4C25×C3711yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—44no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—162no—
1844C22C37×#57712yes—
1845C22C23×D4×C3711yescharacteristic
1846C4—22no—
1847C4—22no—
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—41no—
1866C4—41no—
1867C4C2×H(5,𝔽2)×C3711yescharacteristic
1868C4C2×H(5,𝔽2)×C3711yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—41no—
1872C2—41no—
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—81no—
1878C2C37×#348411yescharacteristic
1879C2C2×C37×#57711yescharacteristic
1880C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3542C2semidirect
2. C37×#3486C2semidirect
3. C37×#3329C2semidirect
4. C37×#3326C2semidirect
5. C37×#3321C2semidirect
6. C37×#3320C2semidirect
7. C37×#3312C2semidirect
8. C37×#3308C2semidirect
9. C37×#3300C2semidirect
10. C37×#3298C2semidirect
11. C37×#3282C2semidirect
12. D4×SD16×C37C2semidirect
13. C37×#3278C2semidirect
14. C37×#3275C2semidirect
15. C37×#3271C2semidirect
16. C37×#3266C2semidirect
17. C37×#3266C2semidirect
18. C37×#3265C2semidirect
19. C37×#3225C2semidirect
20. C37×#3221C2semidirect
21. C37×#3201C2semidirect
22. C37×#3200C2semidirect
23. C37×#3194C2semidirect
24. C37×#3191C2semidirect
25. C37×#3126C2semidirect
26. C37×#3121C2semidirect
27. C37×#3013C2semidirect
28. C37×#3010C2semidirect
29. C37×#3004C2semidirect
30. C2×C37×#448C2semidirect
31. C37×#2976C2semidirect
32. C2×2−1+4×C37C22semidirect
33. C23×Q8×C37C22semidirect
34. C2×#137×C37C22semidirect
35. C2×#137×C37C22semidirect
36. C2×#137×C37C22semidirect
37. C2×AGL(1,ℤ/8)×C37C22semidirect
38. C2×#135×C37C22semidirect
41. C22×SD16×C37C22semidirect
52. D4×Q8×C37C22semidirect
53. D4×Q8×C37C22semidirect
54. D4×Q8×C37C22semidirect
58. C37×#548C22semidirect
59. C37×#548C22semidirect
60. C37×#548C22semidirect
73. C37×#536C22semidirect
74. C37×#536C22semidirect
82. C37×#525C22semidirect
84. C37×#519C22semidirect
85. C37×#497C22semidirect
86. C37×#496C22semidirect
87. C37×#495C22semidirect
88. C37×#492C22semidirect
89. C37×#491C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#487C22semidirect
93. C37×#485C22semidirect
94. C37×#485C22semidirect
95. C37×#485C22semidirect
96. C37×#485C22semidirect
97. C37×#484C22semidirect
98. C37×#483C22semidirect
99. C37×#483C22semidirect
101. C37×#482C22semidirect
102. C37×#482C22semidirect
103. C37×#482C22semidirect
104. C37×#480C22semidirect
105. C37×#479C22semidirect
106. C37×#479C22semidirect
107. C37×#477C22semidirect
108. C37×#475C22semidirect
109. C37×#470C22semidirect
111. C37×#469C22semidirect
113. C37×#468C22semidirect
114. C37×#468C22semidirect
115. C37×#468C22semidirect
116. C37×#468C22semidirect
117. C37×#467C22semidirect
118. C37×#467C22semidirect
121. C37×#465C22semidirect
122. C37×#465C22semidirect
123. C37×#465C22semidirect
124. C37×#465C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#463C22semidirect
129. C37×#463C22semidirect
130. C37×#463C22semidirect
131. C37×#462C22semidirect
132. C37×#461C22semidirect
133. C37×#461C22semidirect
134. C37×#461C22semidirect
135. C37×#460C22semidirect
136. C37×#460C22semidirect
137. C37×#452C22semidirect
138. C37×#452C22semidirect
139. C37×#452C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#451C22semidirect
143. C37×#451C22semidirect
144. C37×#451C22semidirect
145. C37×#451C22semidirect
146. C37×#451C22semidirect
148. C37×#450C22semidirect
149. C37×#450C22semidirect
151. C37×#449C22semidirect
152. C37×#449C22semidirect
153. C37×#449C22semidirect
154. C37×#449C22semidirect
155. C37×#449C22semidirect
156. C37×#449C22semidirect
163. C37×#448C22semidirect
164. C37×#448C22semidirect
165. C37×#448C22semidirect
166. C37×#448C22semidirect
167. C37×#448C22semidirect
168. C37×#448C22semidirect
169. C37×#448C22semidirect
170. C37×#448C22semidirect
171. C37×#448C22semidirect
173. C37×#441C22semidirect
174. C37×#440C22semidirect
175. C37×#440C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×SD16×C37C22semidirect
179. C4×SD16×C37C22semidirect
180. C4×SD16×C37C22semidirect
181. C37×#436C22semidirect
182. C37×#436C22semidirect
184. C37×#435C22semidirect
185. C37×#435C22semidirect
186. C37×#435C22semidirect
188. C8×D4×C37C22semidirect
189. C37×#433C22semidirect
190. C37×#433C22semidirect
191. C37×#419C22semidirect
192. C37×#419C22semidirect
193. C37×#419C22semidirect
194. C37×#417C22semidirect
195. C37×#416C22semidirect
196. C2×#103×C37C22semidirect
197. C2×#103×C37C22semidirect
198. C2×#103×C37C22semidirect
199. C37×#408C22semidirect
200. C37×#408C22semidirect
201. C37×#407C22semidirect
202. C2×C22⋊C8×C37C22semidirect
874. #61611C37direct (N × H)
929. #3542C2×C37semidirect
930. #3486C2×C37semidirect
931. #3329C2×C37semidirect
932. #3326C2×C37semidirect
933. #3321C2×C37semidirect
934. #3320C2×C37semidirect
935. #3312C2×C37semidirect
936. #3308C2×C37semidirect
937. #3300C2×C37semidirect
938. #3298C2×C37semidirect
939. #3282C2×C37semidirect
940. D4×SD16C2×C37semidirect
941. #3278C2×C37semidirect
942. #3275C2×C37semidirect
943. #3271C2×C37semidirect
944. #3266C2×C37semidirect
945. #3266C2×C37semidirect
946. #3265C2×C37semidirect
947. #3225C2×C37semidirect
948. #3221C2×C37semidirect
949. #3201C2×C37semidirect
950. #3200C2×C37semidirect
951. #3194C2×C37semidirect
952. #3191C2×C37semidirect
953. #3126C2×C37semidirect
954. #3121C2×C37semidirect
955. #3013C2×C37semidirect
956. #3010C2×C37semidirect
957. #3004C2×C37semidirect
958. C2×#448C2×C37semidirect
959. #2976C2×C37semidirect
972. C2×2−1+4C22×C37semidirect
973. C23×Q8C22×C37semidirect
974. C2×#137C22×C37semidirect
975. C2×#137C22×C37semidirect
976. C2×#137C22×C37semidirect
977. C2×AGL(1,ℤ/8)C22×C37semidirect
978. C2×#135C22×C37semidirect
981. C22×SD16C22×C37semidirect
992. D4×Q8C22×C37semidirect
993. D4×Q8C22×C37semidirect
994. D4×Q8C22×C37semidirect
998. #548C22×C37semidirect
999. #548C22×C37semidirect
1000. #548C22×C37semidirect
1013. #536C22×C37semidirect
1014. #536C22×C37semidirect
1022. #525C22×C37semidirect
1024. #519C22×C37semidirect
1025. #497C22×C37semidirect
1026. #496C22×C37semidirect
1027. #495C22×C37semidirect
1028. #492C22×C37semidirect
1029. #491C22×C37semidirect
1030. #489C22×C37semidirect
1031. #488C22×C37semidirect
1032. #487C22×C37semidirect
1033. #485C22×C37semidirect
1034. #485C22×C37semidirect
1035. #485C22×C37semidirect
1036. #485C22×C37semidirect
1037. #484C22×C37semidirect
1038. #483C22×C37semidirect
1039. #483C22×C37semidirect
1041. #482C22×C37semidirect
1042. #482C22×C37semidirect
1043. #482C22×C37semidirect
1044. #480C22×C37semidirect
1045. #479C22×C37semidirect
1046. #479C22×C37semidirect
1047. #477C22×C37semidirect
1048. #475C22×C37semidirect
1049. #470C22×C37semidirect
1051. #469C22×C37semidirect
1053. #468C22×C37semidirect
1054. #468C22×C37semidirect
1055. #468C22×C37semidirect
1056. #468C22×C37semidirect
1057. #467C22×C37semidirect
1058. #467C22×C37semidirect
1061. #465C22×C37semidirect
1062. #465C22×C37semidirect
1063. #465C22×C37semidirect
1064. #465C22×C37semidirect
1065. #464C22×C37semidirect
1066. #464C22×C37semidirect
1067. #464C22×C37semidirect
1068. #463C22×C37semidirect
1069. #463C22×C37semidirect
1070. #463C22×C37semidirect
1071. #462C22×C37semidirect
1072. #461C22×C37semidirect
1073. #461C22×C37semidirect
1074. #461C22×C37semidirect
1075. #460C22×C37semidirect
1076. #460C22×C37semidirect
1077. #452C22×C37semidirect
1078. #452C22×C37semidirect
1079. #452C22×C37semidirect
1080. #452C22×C37semidirect
1081. #452C22×C37semidirect
1082. #451C22×C37semidirect
1083. #451C22×C37semidirect
1084. #451C22×C37semidirect
1085. #451C22×C37semidirect
1086. #451C22×C37semidirect
1088. #450C22×C37semidirect
1089. #450C22×C37semidirect
1091. #449C22×C37semidirect
1092. #449C22×C37semidirect
1093. #449C22×C37semidirect
1094. #449C22×C37semidirect
1095. #449C22×C37semidirect
1096. #449C22×C37semidirect
1103. #448C22×C37semidirect
1104. #448C22×C37semidirect
1105. #448C22×C37semidirect
1106. #448C22×C37semidirect
1107. #448C22×C37semidirect
1108. #448C22×C37semidirect
1109. #448C22×C37semidirect
1110. #448C22×C37semidirect
1111. #448C22×C37semidirect
1113. #441C22×C37semidirect
1114. #440C22×C37semidirect
1115. #440C22×C37semidirect
1116. #440C22×C37semidirect
1117. C4×Q16C22×C37semidirect
1118. C4×SD16C22×C37semidirect
1119. C4×SD16C22×C37semidirect
1120. C4×SD16C22×C37semidirect
1121. #436C22×C37semidirect
1122. #436C22×C37semidirect
1124. #435C22×C37semidirect
1125. #435C22×C37semidirect
1126. #435C22×C37semidirect
1128. C8×D4C22×C37semidirect
1129. #433C22×C37semidirect
1130. #433C22×C37semidirect
1131. #419C22×C37semidirect
1132. #419C22×C37semidirect
1133. #419C22×C37semidirect
1134. #417C22×C37semidirect
1135. #416C22×C37semidirect
1136. C2×#103C22×C37semidirect
1137. C2×#103C22×C37semidirect
1138. C2×#103C22×C37semidirect
1139. #408C22×C37semidirect
1140. #408C22×C37semidirect
1141. #407C22×C37semidirect
1142. C2×C22⋊C8C22×C37semidirect
1143. C37#61611direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35422
C37×#34862
C37×#33292
C37×#33262
C37×#33212
C37×#33202
C37×#33122
C37×#33082
C37×#33002
C37×#32982
C37×#32822
D4×SD16×C372
C37×#32782
C37×#32752
C37×#32712
C37×#32662
C37×#32652
C37×#32252
C37×#32212
C37×#32012
C37×#32002
C37×#31942
C37×#31912
C37×#31262
C37×#31212
C37×#30132
C37×#30102
C37×#30042
C2×C37×#4482
C37×#29762
#6161137