Finite Group Databasebeta

← C37×#61141 #22682394

Subgroups — C37×#61141 #22682394

Order 9472.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3475C211yesmaximal, characteristic, complemented
2D4×#41×C37C211yesmaximal, characteristic, complemented
3C37×#3321C211yesmaximal, characteristic, complemented
4C37×#3320C211yesmaximal, characteristic, complemented
5C37×#3319C211yesmaximal, characteristic, complemented
6C37×#3318C211yesmaximal, characteristic, complemented
7C37×#3317C211yesmaximal, characteristic, complemented
8C37×#3316C211yesmaximal, characteristic, complemented
9C37×#3315C211yesmaximal, characteristic, complemented
10C37×#3314C211yesmaximal, characteristic, complemented
11C37×#3313C211yesmaximal, characteristic, complemented
12C37×#3312C211yesmaximal, characteristic, complemented
13C37×#3311C211yesmaximal, characteristic, complemented
14C37×#3310C211yesmaximal, characteristic, complemented
15C37×#3309C211yesmaximal, characteristic, complemented
16C37×#3308C211yesmaximal, characteristic, complemented
17C37×#3307C211yesmaximal, characteristic, complemented
18C37×#3306C211yesmaximal, characteristic, complemented
19C37×#3135C211yesmaximal, characteristic, complemented
20C37×#3091C211yesmaximal, characteristic, complemented
21C37×#3091C211yesmaximal, characteristic, complemented
22C37×#3076C211yesmaximal, characteristic, complemented
23C37×#3054C211yesmaximal, characteristic, complemented
24C37×#3050C211yesmaximal, characteristic, complemented
25C37×#3035C211yesmaximal, characteristic, complemented
26C37×#3002C211yesmaximal, characteristic, complemented
27C37×#3002C211yesmaximal, characteristic, complemented
28C37×#2943C211yesmaximal, characteristic, complemented
29C2×C37×#435C211yesmaximal, characteristic, complemented
30C37×#2896C211yesmaximal, characteristic, complemented
31C2×C37×#416C211yesmaximal, characteristic, complemented
32C22×#41×C37C2211yescharacteristic
33C22×#41×C37C2211yescharacteristic
34C2×#135×C37C2211yescharacteristic
35C2×#135×C37C2211yescharacteristic, complemented
36C2×#135×C37C2211yescharacteristic, complemented
37C22×M16×C37C2211yescharacteristic, complemented
38C23×C8×C37C2211yescharacteristic, complemented
39C37×#556C2211yescharacteristic, complemented
40C37×#555C2211yescharacteristic, complemented
41C37×#554C2211yescharacteristic, complemented
42C37×#553C2211yescharacteristic
43C37×#553C2211yescharacteristic, complemented
44C37×#552—21no—
45C37×#552C2211yescharacteristic
46C37×#552C2211yescharacteristic, complemented
47C37×#551—21no—
48C37×#551—21no—
49C37×#550C2211yescharacteristic
50D4×Q8×C37C2211yescharacteristic
51C37×#548C2211yescharacteristic
52C37×#548C2211yescharacteristic
53C37×#547—21no—
54C37×#547C2211yescharacteristic
55C37×#547C2211yescharacteristic, complemented
56C37×#546—21no—
57C37×#546—21no—
58C37×#546—21no—
59C37×#546C2211yescharacteristic
60C37×#546C2211yescharacteristic
61D42×C37—21no—
62D42×C37C2211yescharacteristic
63C37×#533C2211yescharacteristic, complemented
64C37×#532—21no—
65C37×#532C2211yescharacteristic
66C37×#529—21no—
67C37×#529—21no—
68C37×#529—21no—
69C37×#525—21no—
70C37×#525—21no—
71C37×#525C2211yescharacteristic
72C37×#525C2211yescharacteristic
73C37×#525C2211yescharacteristic, complemented
74C37×#525C2211yescharacteristic, complemented
75C4×#41×C37—21no—
76C4×#41×C37C2211yescharacteristic
77C4×#41×C37C2211yescharacteristic, complemented
78C2×C4×D4×C37—21no—
79C2×C4×D4×C37C2211yescharacteristic
80C2×#117×C37C2211yescharacteristic, complemented
81C2×#117×C37C2211yescharacteristic, complemented
82C37×#491C2211yescharacteristic, complemented
83C37×#491C2211yescharacteristic, complemented
84C37×#490C2211yescharacteristic, complemented
85C37×#490C2211yescharacteristic, complemented
86C37×#489C2211yescharacteristic, complemented
87C37×#489C2211yescharacteristic, complemented
88C37×#489C2211yescharacteristic, complemented
89C37×#489C2211yescharacteristic, complemented
90C37×#485C2211yescharacteristic, complemented
91C37×#485C2211yescharacteristic, complemented
92C37×#485C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic, complemented
94C37×#484C2211yescharacteristic, complemented
95C37×#484C2211yescharacteristic, complemented
96C37×#483C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic, complemented
99C37×#482C2211yescharacteristic, complemented
100C37×#482C2211yescharacteristic, complemented
101C37×#482C2211yescharacteristic, complemented
102C37×#481C2211yescharacteristic, complemented
103C37×#481C2211yescharacteristic, complemented
104C37×#480C2211yescharacteristic, complemented
105C37×#480C2211yescharacteristic, complemented
106C37×#479C2211yescharacteristic, complemented
107C37×#479C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#478C2211yescharacteristic, complemented
110C37×#477C2211yescharacteristic, complemented
111C37×#476C2211yescharacteristic, complemented
112C37×#475C2211yescharacteristic, complemented
113C37×#474C2211yescharacteristic, complemented
114C37×#470C2211yescharacteristic, complemented
115C37×#470C2211yescharacteristic, complemented
116C37×#469C2211yescharacteristic, complemented
117C37×#469C2211yescharacteristic, complemented
118C37×#468C2211yescharacteristic, complemented
119C37×#468C2211yescharacteristic, complemented
120C37×#468C2211yescharacteristic, complemented
121C37×#468C2211yescharacteristic, complemented
122C37×#467C2211yescharacteristic, complemented
123C37×#467C2211yescharacteristic, complemented
124C37×#466C2211yescharacteristic, complemented
125C37×#466C2211yescharacteristic, complemented
126C37×#465C2211yescharacteristic, complemented
127C37×#465C2211yescharacteristic, complemented
128C37×#465C2211yescharacteristic, complemented
129C37×#465C2211yescharacteristic, complemented
130C37×#464C2211yescharacteristic, complemented
131C37×#464C2211yescharacteristic, complemented
132C37×#463C2211yescharacteristic, complemented
133C37×#463C2211yescharacteristic, complemented
134C37×#462C2211yescharacteristic, complemented
135C37×#461C2211yescharacteristic, complemented
136C37×#460C2211yescharacteristic, complemented
137C37×#459C2211yescharacteristic, complemented
138C37×#452C2211yescharacteristic, complemented
139C37×#452C2211yescharacteristic, complemented
140C37×#452C2211yescharacteristic, complemented
141C37×#452C2211yescharacteristic, complemented
142C37×#451C2211yescharacteristic, complemented
143C37×#451C2211yescharacteristic, complemented
144C37×#450C2211yescharacteristic, complemented
145C37×#450C2211yescharacteristic, complemented
146C37×#449C2211yescharacteristic, complemented
147C37×#449C2211yescharacteristic, complemented
148C37×#449C2211yescharacteristic, complemented
149C37×#449C2211yescharacteristic, complemented
150C37×#448C2211yescharacteristic, complemented
151C37×#448C2211yescharacteristic, complemented
152C37×#447C2211yescharacteristic, complemented
153C37×#447C2211yescharacteristic, complemented
154C37×#442C2211yescharacteristic, complemented
155C37×#442C2211yescharacteristic, complemented
156C37×#441C2211yescharacteristic, complemented
157C37×#441C2211yescharacteristic, complemented
158C37×#440C2211yescharacteristic, complemented
159C37×#440C2211yescharacteristic, complemented
160C37×#440C2211yescharacteristic, complemented
161C37×#440C2211yescharacteristic, complemented
162C37×#435C2211yescharacteristic
163C37×#435C2211yescharacteristic
164C37×#435C2211yescharacteristic, complemented
165C37×#435C2211yescharacteristic, complemented
166C37×#435C2211yescharacteristic, complemented
167C37×#435C2211yescharacteristic, complemented
168C37×#435C2211yescharacteristic, complemented
169C37×#435C2211yescharacteristic, complemented
170C37×#427C2211yescharacteristic, complemented
171C37×#427C2211yescharacteristic, complemented
172C37×#427C2211yescharacteristic, complemented
173C2×C4⋊C8×C37C2211yescharacteristic, complemented
174C37×#419C2211yescharacteristic, complemented
175C37×#419C2211yescharacteristic, complemented
176C37×#418C2211yescharacteristic, complemented
177C37×#418C2211yescharacteristic, complemented
178C37×#417C2211yescharacteristic, complemented
179C37×#417C2211yescharacteristic, complemented
180C37×#417C2211yescharacteristic, complemented
181C37×#417C2211yescharacteristic, complemented
182C37×#416C2211yescharacteristic
183C37×#416C2211yescharacteristic
184C37×#416C2211yescharacteristic
185C37×#416C2211yescharacteristic, complemented
186C37×#416C2211yescharacteristic, complemented
187C37×#416C2211yescharacteristic, complemented
188C37×#416C2211yescharacteristic, complemented
189C37×#416C2211yescharacteristic, complemented
190C37×#416C2211yescharacteristic, complemented
191C37×#416C2211yescharacteristic, complemented
192C37×#416C2211yescharacteristic, complemented
193C37×#416C2211yescharacteristic, complemented
194C37×#416C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C2×#103×C37C2211yescharacteristic, complemented
197C2×#103×C37C2211yescharacteristic, complemented
198C2×#102×C37C2211yescharacteristic, complemented
199C2×#102×C37C2211yescharacteristic, complemented
200C2×C22⋊C8×C37C2211yescharacteristic, complemented
201C2×C22⋊C8×C37C2211yescharacteristic, complemented
202C2×#97×C37C2211yescharacteristic, complemented
203C2×#41×C37—21no—
204C2×#41×C37—21no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37—24no—
209C2×#41×C37—24no—
210C2×#41×C37—42no—
211C2×#41×C37—42no—
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C2×#41×C37C2311yescharacteristic
215C2×#41×C37C2311yescharacteristic
216C2×#41×C37C2311yescharacteristic
217C2×#41×C37C2311yescharacteristic
218C2×#41×C37C2311yescharacteristic
219C2×#41×C37C2311yescharacteristic
220C22×Q8×C37C2311yescharacteristic
221C22×Q8×C37C2311yescharacteristic
222C22×D4×C37—21no—
223C22×D4×C37—21no—
224C22×D4×C37—21no—
225C22×D4×C37D411yescharacteristic
226C22×D4×C37C2311yescharacteristic
227C22×D4×C37C2311yescharacteristic
228C23×C4×C37—21no—
229C23×C4×C37—21no—
230C23×C4×C37C2311yescharacteristic
231C23×C4×C37C2311yescharacteristic
232#135×C37—24no—
233#135×C37—42no—
234#135×C37—42no—
235C2×Q16×C37C2311yescharacteristic
236C2×Q16×C37C2311yescharacteristic
237C2×Q16×C37C2311yescharacteristic
238C2×SD16×C37C2311yescharacteristic
239C2×SD16×C37C2311yescharacteristic
240C2×SD16×C37C2311yescharacteristic
241C2×SD16×C37C2311yescharacteristic
242C2×SD16×C37C2311yescharacteristic
243C2×SD16×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×D8×C37C2311yescharacteristic
246C2×D8×C37C2311yescharacteristic
247C2×M16×C37—42no—
248C2×M16×C37C2311yescharacteristic
249C2×M16×C37C2311yescharacteristic
250C2×M16×C37C2311yescharacteristic
251C2×M16×C37C2311yescharacteristic
252C22×C8×C37—42no—
253C22×C8×C37C2311yescharacteristic
254C22×C8×C37C2311yescharacteristic
255C22×C8×C37C2311yescharacteristic
256C22×C8×C37C2311yescharacteristic
257C22×C8×C37C2311yescharacteristic
258C22×C8×C37C2311yescharacteristic
259C22×C8×C37C2311yescharacteristic
260C22×C8×C37C2311yescharacteristic
261C4⋊Q8×C37—21no—
262C4⋊Q8×C37C2311yescharacteristic
263C4⋊Q8×C37C2311yescharacteristic
264C4⋊Q8×C37C2311yescharacteristic
265#127×C37—21no—
266#127×C37C2311yescharacteristic
267#126×C37—21no—
268#126×C37—21no—
269#126×C37—21no—
270#126×C37—21no—
271#126×C37—21no—
272#126×C37—21no—
273#125×C37—21no—
274#125×C37—21no—
275#125×C37—21no—
276#125×C37C2311yescharacteristic
277#125×C37C2311yescharacteristic
278#124×C37—21no—
279#124×C37—21no—
280#124×C37—21no—
281#124×C37—21no—
282#124×C37—21no—
283#124×C37C2311yescharacteristic
284#124×C37C2311yescharacteristic
285#123×C37—21no—
286#123×C37—21no—
287#123×C37—21no—
288#123×C37—21no—
289#123×C37—21no—
290#123×C37—21no—
291#123×C37—21no—
292#123×C37—21no—
293#123×C37—21no—
294#123×C37—21no—
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299C22⋊Q8×C37—21no—
300C22⋊Q8×C37—21no—
301C22⋊Q8×C37—21no—
302C22⋊Q8×C37—21no—
303C22⋊Q8×C37—21no—
304C22⋊Q8×C37—21no—
305C22⋊Q8×C37—21no—
306C22⋊Q8×C37—21no—
307C22⋊Q8×C37—21no—
308C22⋊Q8×C37C2311yescharacteristic
309C22⋊Q8×C37C2311yescharacteristic
310C22⋊Q8×C37C2311yescharacteristic
311C22⋊Q8×C37C2311yescharacteristic
312C22⋊Q8×C37C2311yescharacteristic
313C22⋊Q8×C37C2311yescharacteristic
314C22⋊Q8×C37C2311yescharacteristic
315C22⋊Q8×C37C2311yescharacteristic
316#121×C37—21no—
317#121×C37—21no—
318#121×C37—21no—
319#121×C37—21no—
320#121×C37—21no—
321#121×C37—21no—
322#121×C37—21no—
323#121×C37—21no—
324#121×C37—21no—
325#121×C37—21no—
326#121×C37—21no—
327#121×C37—21no—
328#121×C37—21no—
329#121×C37C2311yescharacteristic
330#121×C37C2311yescharacteristic
331#121×C37C2311yescharacteristic
332#121×C37C2311yescharacteristic
333#121×C37C2311yescharacteristic
334#121×C37C2311yescharacteristic
335#121×C37C2311yescharacteristic
336#121×C37C2311yescharacteristic
337#120×C37—21no—
338#120×C37—21no—
339#120×C37—21no—
340#120×C37—21no—
341#120×C37—21no—
342#120×C37—21no—
343#120×C37—21no—
344#120×C37—21no—
345C4×Q8×C37—21no—
346C4×Q8×C37—21no—
347C4×Q8×C37—21no—
348C4×Q8×C37C2311yescharacteristic
349C4×Q8×C37C2311yescharacteristic
350C4×Q8×C37C2311yescharacteristic
351C4×Q8×C37C2311yescharacteristic
352C4×D4×C37—21no—
353C4×D4×C37—21no—
354C4×D4×C37—21no—
355C4×D4×C37—21no—
356C4×D4×C37—21no—
357C4×D4×C37—21no—
358C4×D4×C37—21no—
359C4×D4×C37—21no—
360C4×D4×C37—21no—
361C4×D4×C37—21no—
362C4×D4×C37—21no—
363C4×D4×C37—21no—
364C4×D4×C37—21no—
365C4×D4×C37—21no—
366C4×D4×C37—21no—
367C4×D4×C37—21no—
368C4×D4×C37—21no—
369C4×D4×C37—21no—
370C4×D4×C37—21no—
371C4×D4×C37—21no—
372C4×D4×C37—21no—
373C4×D4×C37D411yescharacteristic
374C4×D4×C37D411yescharacteristic
375C4×D4×C37D411yescharacteristic
376C4×D4×C37D411yescharacteristic
377C4×D4×C37C2311yescharacteristic
378C4×D4×C37C2311yescharacteristic
379C4×D4×C37C2311yescharacteristic
380C4×D4×C37C2311yescharacteristic
381C4×D4×C37C2311yescharacteristic
382C4×D4×C37C2311yescharacteristic
383C4×D4×C37C2311yescharacteristic
384C4×D4×C37C2311yescharacteristic
385#117×C37—21no—
386#117×C37—21no—
387#117×C37—21no—
388#117×C37—21no—
389#117×C37—21no—
390#117×C37—21no—
391#117×C37—21no—
392#117×C37—21no—
393#117×C37—21no—
394#117×C37C2311yescharacteristic
395#117×C37C2311yescharacteristic
396#117×C37C2311yescharacteristic
397#117×C37C2311yescharacteristic
398#117×C37C2311yescharacteristic
399#117×C37C2311yescharacteristic
400#117×C37C2311yescharacteristic
401#117×C37C2311yescharacteristic
402C2×C4⋊C4×C37—21no—
403C2×C4⋊C4×C37D411yescharacteristic
404C2×C4⋊C4×C37C2311yescharacteristic
405C2×C4⋊C4×C37C2311yescharacteristic
406C2×C4⋊C4×C37C2311yescharacteristic
407C2×C4⋊C4×C37C2311yescharacteristic
408C2×C22⋊C4×C37—21no—
409C2×C22⋊C4×C37—21no—
410C2×C22⋊C4×C37—21no—
411C2×C22⋊C4×C37—21no—
412C2×C22⋊C4×C37D411yescharacteristic
413C2×C22⋊C4×C37D411yescharacteristic
414C2×C42×C37—21no—
415C2×C42×C37—21no—
416C2×C42×C37—21no—
417C2×C42×C37—21no—
418C2×C42×C37C2311yescharacteristic
419#107×C37C2311yescharacteristic
420#107×C37C2311yescharacteristic
421#107×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#106×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430#106×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435#103×C37C2311yescharacteristic
436#103×C37C2311yescharacteristic
437#103×C37C2311yescharacteristic
438#103×C37C2311yescharacteristic
439#103×C37C2311yescharacteristic
440#103×C37C2311yescharacteristic
441#103×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#102×C37C2311yescharacteristic
456#102×C37C2311yescharacteristic
457#102×C37C2311yescharacteristic
458#102×C37C2311yescharacteristic
459#102×C37C2311yescharacteristic
460#102×C37C2311yescharacteristic
461#102×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
474#102×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
483#97×C37C2311yescharacteristic
484#97×C37C2311yescharacteristic
485#97×C37C2311yescharacteristic
486#97×C37C2311yescharacteristic
487C24×C37—21no—
488C24×C37—21no—
489C24×C37C2×D411yescharacteristic
490C24×C37C2×D411yescharacteristic
491#41×C37—22no—
492#41×C37—22no—
493#41×C37—22no—
494#41×C37—22no—
495#41×C37—22no—
496#41×C37—22no—
497#41×C37—22no—
498#41×C37—22no—
499#41×C37—22no—
500#41×C37—22no—
501#41×C37—22no—
502#41×C37—44no—
503#41×C37—44no—
504#41×C37—41no—
505#41×C37—41no—
506#41×C37—41no—
507#41×C37—41no—
508#41×C37—44no—
509#41×C37—44no—
510#41×C37—44no—
511#41×C37#4114yescomplemented
512C2×Q8×C37—21no—
513C2×Q8×C37—21no—
514C2×Q8×C37—21no—
515C2×Q8×C37—21no—
516C2×Q8×C37—22no—
517C2×Q8×C37—22no—
518C2×Q8×C37—41no—
519C2×Q8×C37—41no—
520C2×Q8×C37C2411yescharacteristic
521C2×Q8×C37C2411yescharacteristic
522C2×Q8×C37C2411yescharacteristic
523C2×Q8×C37C2411yescharacteristic
524C2×D4×C37—21no—
525C2×D4×C37—22no—
526C2×D4×C37—22no—
527C2×D4×C37—21no—
528C2×D4×C37—21no—
529C2×D4×C37—21no—
530C2×D4×C37—21no—
531C2×D4×C37—21no—
532C2×D4×C37—21no—
533C2×D4×C37—21no—
534C2×D4×C37—21no—
535C2×D4×C37—21no—
536C2×D4×C37—21no—
537C2×D4×C37—21no—
538C2×D4×C37—21no—
539C2×D4×C37—21no—
540C2×D4×C37—21no—
541C2×D4×C37—21no—
542C2×D4×C37—21no—
543C2×D4×C37—21no—
544C2×D4×C37—21no—
545C2×D4×C37—21no—
546C2×D4×C37—41no—
547C2×D4×C37—41no—
548C2×D4×C37—42no—
549C2×D4×C37—44no—
550C2×D4×C37—44no—
551C2×D4×C37—44no—
552C2×D4×C37C2×D411yescharacteristic
553C2×D4×C37C2×D411yescharacteristic
554C2×D4×C37C2×D411yescharacteristic
555C2×D4×C37C2×D411yescharacteristic
556C2×D4×C37C2411yescharacteristic
557C2×D4×C37C2411yescharacteristic
558C2×D4×C37C2411yescharacteristic
559C2×D4×C37C2411yescharacteristic
560C22×C4×C37—21no—
561C22×C4×C37—22no—
562C22×C4×C37—22no—
563C22×C4×C37—22no—
564C22×C4×C37—22no—
565C22×C4×C37—21no—
566C22×C4×C37—21no—
567C22×C4×C37—21no—
568C22×C4×C37—21no—
569C22×C4×C37—21no—
570C22×C4×C37—21no—
571C22×C4×C37—21no—
572C22×C4×C37—21no—
573C22×C4×C37—21no—
574C22×C4×C37—21no—
575C22×C4×C37—21no—
576C22×C4×C37—21no—
577C22×C4×C37—21no—
578C22×C4×C37—21no—
579C22×C4×C37—21no—
580C22×C4×C37—21no—
581C22×C4×C37—21no—
582C22×C4×C37—44no—
583C22×C4×C37—44no—
584C22×C4×C37C2×D411yescharacteristic
585C22×C4×C37C2×D411yescharacteristic
586C22×C4×C37C2×D411yescharacteristic
587C22×C4×C37C2×D411yescharacteristic
588C22×C4×C37C2×D411yescharacteristic
589C22×C4×C37C2×D411yescharacteristic
590C22×C4×C37C2×D411yescharacteristic
591C22×C4×C37C2×D411yescharacteristic
592C22×C4×C37C2411yescharacteristic
593C22×C4×C37C2411yescharacteristic
594C22×C4×C37C2411yescharacteristic
595C22×C4×C37C2411yescharacteristic
596C22×C4×C37C2411yescharacteristic
597Q16×C37—22no—
598Q16×C37—41no—
599Q16×C37—41no—
600SD16×C37—22no—
601SD16×C37—22no—
602SD16×C37—41no—
603SD16×C37—41no—
604SD16×C37—41no—
605SD16×C37—41no—
606D8×C37—22no—
607D8×C37—41no—
608D8×C37—41no—
609M16×C37—41no—
610M16×C37—41no—
611M16×C37—41no—
612M16×C37—41no—
613C2×C8×C37—22no—
614C2×C8×C37—22no—
615C2×C8×C37—22no—
616C2×C8×C37—22no—
617C2×C8×C37—41no—
618C2×C8×C37—41no—
619C2×C8×C37—41no—
620C2×C8×C37—41no—
621C2×C8×C37C2411yescharacteristic
622C2×C8×C37C2411yescharacteristic
623C2×C8×C37C2411yescharacteristic
624C2×C8×C37C2411yescharacteristic
625C2×C8×C37C2411yescharacteristic
626C2×C8×C37C2411yescharacteristic
627C2×C8×C37C2411yescharacteristic
628C2×C8×C37C2411yescharacteristic
629C4⋊C4×C37—21no—
630C4⋊C4×C37—21no—
631C4⋊C4×C37—21no—
632C4⋊C4×C37—21no—
633C4⋊C4×C37—21no—
634C4⋊C4×C37—21no—
635C4⋊C4×C37—21no—
636C4⋊C4×C37—21no—
637C4⋊C4×C37—21no—
638C4⋊C4×C37—21no—
639C4⋊C4×C37—21no—
640C4⋊C4×C37—21no—
641C4⋊C4×C37—21no—
642C4⋊C4×C37—21no—
643C4⋊C4×C37—21no—
644C4⋊C4×C37—21no—
645C4⋊C4×C37—21no—
646C4⋊C4×C37—21no—
647C4⋊C4×C37—21no—
648C4⋊C4×C37—21no—
649C4⋊C4×C37—21no—
650C4⋊C4×C37—21no—
651C4⋊C4×C37—21no—
652C4⋊C4×C37—21no—
653C4⋊C4×C37C2×D411yescharacteristic
654C4⋊C4×C37C2×D411yescharacteristic
655C4⋊C4×C37C2×D411yescharacteristic
656C4⋊C4×C37C2×D411yescharacteristic
657C4⋊C4×C37C2411yescharacteristic
658C4⋊C4×C37C2411yescharacteristic
659C4⋊C4×C37C2411yescharacteristic
660C4⋊C4×C37C2411yescharacteristic
661C4⋊C4×C37C2411yescharacteristic
662C4⋊C4×C37C2411yescharacteristic
663C4⋊C4×C37C2411yescharacteristic
664C4⋊C4×C37C2411yescharacteristic
665C22⋊C4×C37—21no—
666C22⋊C4×C37—21no—
667C22⋊C4×C37—21no—
668C22⋊C4×C37—21no—
669C22⋊C4×C37—21no—
670C22⋊C4×C37—21no—
671C22⋊C4×C37—21no—
672C22⋊C4×C37—21no—
673C22⋊C4×C37—21no—
674C22⋊C4×C37—21no—
675C22⋊C4×C37—21no—
676C22⋊C4×C37—21no—
677C22⋊C4×C37—21no—
678C22⋊C4×C37—21no—
679C22⋊C4×C37—21no—
680C22⋊C4×C37—21no—
681C22⋊C4×C37—21no—
682C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
698C22⋊C4×C37C2×D411yescharacteristic
699C22⋊C4×C37C2×D411yescharacteristic
700C22⋊C4×C37C2×D411yescharacteristic
701C22⋊C4×C37C2×D411yescharacteristic
702C22⋊C4×C37C2×D411yescharacteristic
703C22⋊C4×C37C2×D411yescharacteristic
704C22⋊C4×C37C2×D411yescharacteristic
705C42×C37—21no—
706C42×C37—21no—
707C42×C37—21no—
708C42×C37—21no—
709C42×C37—21no—
710C42×C37—21no—
711C42×C37—21no—
712C42×C37—21no—
713C42×C37—21no—
714C42×C37—21no—
715C42×C37—21no—
716C42×C37—21no—
717C42×C37C2×D411yescharacteristic
718C42×C37C2×D411yescharacteristic
719C42×C37C2411yescharacteristic
720C42×C37C2411yescharacteristic
721C23×C37—22no—
722C23×C37—22no—
723C23×C37—21no—
724C23×C37—22no—
725C23×C37—21no—
726C23×C37—21no—
727C23×C37—21no—
728C23×C37—41no—
729C23×C37—41no—
730C23×C37—41no—
731C23×C37—42no—
732C23×C37—42no—
733C23×C37—42no—
734C23×C37—42no—
735C23×C37—81no—
736C23×C37—81no—
737C23×C37C22×D411yescharacteristic
738C23×C37C22×D411yescharacteristic
739C23×C37C22×D411yescharacteristic
740C23×C37C22×D411yescharacteristic
741C23×C37C22×D411yescharacteristic
742Q8×C37—21no—
743Q8×C37—21no—
744Q8×C37—21no—
745Q8×C37—21no—
746Q8×C37—21no—
747Q8×C37—21no—
748Q8×C37—21no—
749Q8×C37—42no—
750Q8×C37—42no—
751Q8×C37—42no—
752Q8×C37—81no—
753Q8×C37C2×#4112yes—
754D4×C37—24no—
755D4×C37—22no—
756D4×C37—22no—
757D4×C37—21no—
758D4×C37—21no—
759D4×C37—21no—
760D4×C37—21no—
761D4×C37—21no—
762D4×C37—21no—
763D4×C37—21no—
764D4×C37—41no—
765D4×C37—41no—
766D4×C37—42no—
767D4×C37—42no—
768D4×C37—42no—
769D4×C37—42no—
770D4×C37—42no—
771D4×C37—42no—
772D4×C37—42no—
773D4×C37—42no—
774D4×C37—42no—
775D4×C37—42no—
776D4×C37—42no—
777D4×C37—42no—
778D4×C37—42no—
779D4×C37—42no—
780D4×C37—81no—
781D4×C37—81no—
782D4×C37—81no—
783D4×C37—81no—
784D4×C37—81no—
785D4×C37C2×#4112yes—
786C2×C4×C37—22no—
787C2×C4×C37—22no—
788C2×C4×C37—21no—
789C2×C4×C37—22no—
790C2×C4×C37—22no—
791C2×C4×C37—22no—
792C2×C4×C37—22no—
793C2×C4×C37—24no—
794C2×C4×C37—21no—
795C2×C4×C37—21no—
796C2×C4×C37—21no—
797C2×C4×C37—21no—
798C2×C4×C37—21no—
799C2×C4×C37—21no—
800C2×C4×C37—21no—
801C2×C4×C37—21no—
802C2×C4×C37—21no—
803C2×C4×C37—21no—
804C2×C4×C37—21no—
805C2×C4×C37—21no—
806C2×C4×C37—21no—
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—41no—
814C2×C4×C37—41no—
815C2×C4×C37—42no—
816C2×C4×C37—42no—
817C2×C4×C37—42no—
818C2×C4×C37—42no—
819C2×C4×C37—42no—
820C2×C4×C37—42no—
821C2×C4×C37—42no—
822C2×C4×C37—42no—
823C2×C4×C37—42no—
824C2×C4×C37—42no—
825C2×C4×C37—42no—
826C2×C4×C37—42no—
827C2×C4×C37—42no—
828C2×C4×C37—81no—
829C2×C4×C37—81no—
830C2×C4×C37—81no—
831C2×C4×C37—81no—
832C2×C4×C37C22×D411yescharacteristic
833C2×C4×C37C22×D411yescharacteristic
834C2×C4×C37C22×D411yescharacteristic
835C2×C4×C37C22×D411yescharacteristic
836C2×C4×C37C22×D411yescharacteristic
837C2×C4×C37C22×D411yescharacteristic
838C2×C4×C37C22×D411yescharacteristic
839C2×C4×C37C22×D411yescharacteristic
840C2×C4×C37C22×D411yescharacteristic
841C2×C4×C37C2×#4112yes—
842C2×C4×C37H(5,𝔽2)12yes—
843C2×C4×C37C2511yescharacteristic
844C8×C37—21no—
845C8×C37—21no—
846C8×C37—21no—
847C8×C37—21no—
848C8×C37—21no—
849C8×C37—21no—
850C8×C37—21no—
851C8×C37—21no—
852#61141C3711yesmaximal, characteristic, direct product factor, Sylow
853C22×C37—21no—
854C22×C37—21no—
855C22×C37—21no—
856C22×C37—21no—
857C22×C37—21no—
858C22×C37—21no—
859C22×C37—21no—
860C22×C37—21no—
861C22×C37—21no—
862C22×C37—21no—
863C22×C37—22no—
864C22×C37—21no—
865C22×C37—21no—
866C22×C37—21no—
867C22×C37—44no—
868C22×C37—41no—
869C22×C37—41no—
870C22×C37—41no—
871C22×C37—41no—
872C22×C37—41no—
873C22×C37—41no—
874C22×C37—41no—
875C22×C37—41no—
876C22×C37—41no—
877C22×C37—41no—
878C22×C37—41no—
879C22×C37—82no—
880C22×C37—84no—
881C22×C37—84no—
882C22×C37#54612yes—
883C22×C37#57512yes—
884C22×C37C23×D411yescharacteristic
885C4×C37—21no—
886C4×C37—21no—
887C4×C37—21no—
888C4×C37—21no—
889C4×C37—21no—
890C4×C37—21no—
891C4×C37—22no—
892C4×C37—21no—
893C4×C37—21no—
894C4×C37—41no—
895C4×C37—41no—
896C4×C37—41no—
897C4×C37—41no—
898C4×C37—41no—
899C4×C37—41no—
900C4×C37—41no—
901C4×C37—41no—
902C4×C37—41no—
903C4×C37—41no—
904C4×C37—41no—
905C4×C37#54612yes—
906C4×C37C22×#4111yescharacteristic
907C4×C37C2×H(5,𝔽2)11yescharacteristic
908#3475C2×C3711yescharacteristic, complemented
909D4×#41C2×C3711yescharacteristic, complemented
910#3321C2×C3711yescharacteristic, complemented
911#3320C2×C3711yescharacteristic, complemented
912#3319C2×C3711yescharacteristic, complemented
913#3318C2×C3711yescharacteristic, complemented
914#3317C2×C3711yescharacteristic, complemented
915#3316C2×C3711yescharacteristic, complemented
916#3315C2×C3711yescharacteristic, complemented
917#3314C2×C3711yescharacteristic, complemented
918#3313C2×C3711yescharacteristic, complemented
919#3312C2×C3711yescharacteristic, complemented
920#3311C2×C3711yescharacteristic, complemented
921#3310C2×C3711yescharacteristic, complemented
922#3309C2×C3711yescharacteristic, complemented
923#3308C2×C3711yescharacteristic, complemented
924#3307C2×C3711yescharacteristic, complemented
925#3306C2×C3711yescharacteristic, complemented
926#3135C2×C3711yescharacteristic, complemented
927#3091C2×C3711yescharacteristic, complemented
928#3091C2×C3711yescharacteristic, complemented
929#3076C2×C3711yescharacteristic, complemented
930#3054C2×C3711yescharacteristic, complemented
931#3050C2×C3711yescharacteristic, complemented
932#3035C2×C3711yescharacteristic, complemented
933#3002C2×C3711yescharacteristic, complemented
934#3002C2×C3711yescharacteristic, complemented
935#2943C2×C3711yescharacteristic, complemented
936C2×#435C2×C3711yescharacteristic, complemented
937#2896C2×C3711yescharacteristic, complemented
938C2×#416C2×C3711yescharacteristic, complemented
939C2×C37—22no—
940C2×C37—22no—
941C2×C37—41no—
942C2×C37—41no—
943C2×C37—41no—
944C2×C37—42no—
945C2×C37—81no—
946C2×C37—81no—
947C2×C37—81no—
948C2×C37C2×#54611yescharacteristic
949C2×C37C2×#57511yescharacteristic
950C2×C37#358411yescharacteristic
951C22×#41C22×C3711yescharacteristic
952C22×#41C22×C3711yescharacteristic
953C2×#135C22×C3711yescharacteristic
954C2×#135C22×C3711yescharacteristic, complemented
955C2×#135C22×C3711yescharacteristic, complemented
956C22×M16C22×C3711yescharacteristic, complemented
957C23×C8C22×C3711yescharacteristic, complemented
958#556C22×C3711yescharacteristic, complemented
959#555C22×C3711yescharacteristic, complemented
960#554C22×C3711yescharacteristic, complemented
961#553C22×C3711yescharacteristic
962#553C22×C3711yescharacteristic, complemented
963#552—21no—
964#552C22×C3711yescharacteristic
965#552C22×C3711yescharacteristic, complemented
966#551—21no—
967#551—21no—
968#550C22×C3711yescharacteristic
969D4×Q8C22×C3711yescharacteristic
970#548C22×C3711yescharacteristic
971#548C22×C3711yescharacteristic
972#547—21no—
973#547C22×C3711yescharacteristic
974#547C22×C3711yescharacteristic, complemented
975#546—21no—
976#546—21no—
977#546—21no—
978#546C22×C3711yescharacteristic
979#546C22×C3711yescharacteristic
980D42—21no—
981D42C22×C3711yescharacteristic
982#533C22×C3711yescharacteristic, complemented
983#532—21no—
984#532C22×C3711yescharacteristic
985#529—21no—
986#529—21no—
987#529—21no—
988#525—21no—
989#525—21no—
990#525C22×C3711yescharacteristic
991#525C22×C3711yescharacteristic
992#525C22×C3711yescharacteristic, complemented
993#525C22×C3711yescharacteristic, complemented
994C4×#41—21no—
995C4×#41C22×C3711yescharacteristic
996C4×#41C22×C3711yescharacteristic, complemented
997C2×C4×D4—21no—
998C2×C4×D4C22×C3711yescharacteristic
999C2×#117C22×C3711yescharacteristic, complemented
1000C2×#117C22×C3711yescharacteristic, complemented
1001#491C22×C3711yescharacteristic, complemented
1002#491C22×C3711yescharacteristic, complemented
1003#490C22×C3711yescharacteristic, complemented
1004#490C22×C3711yescharacteristic, complemented
1005#489C22×C3711yescharacteristic, complemented
1006#489C22×C3711yescharacteristic, complemented
1007#489C22×C3711yescharacteristic, complemented
1008#489C22×C3711yescharacteristic, complemented
1009#485C22×C3711yescharacteristic, complemented
1010#485C22×C3711yescharacteristic, complemented
1011#485C22×C3711yescharacteristic, complemented
1012#485C22×C3711yescharacteristic, complemented
1013#484C22×C3711yescharacteristic, complemented
1014#484C22×C3711yescharacteristic, complemented
1015#483C22×C3711yescharacteristic, complemented
1016#483C22×C3711yescharacteristic, complemented
1017#482C22×C3711yescharacteristic, complemented
1018#482C22×C3711yescharacteristic, complemented
1019#482C22×C3711yescharacteristic, complemented
1020#482C22×C3711yescharacteristic, complemented
1021#481C22×C3711yescharacteristic, complemented
1022#481C22×C3711yescharacteristic, complemented
1023#480C22×C3711yescharacteristic, complemented
1024#480C22×C3711yescharacteristic, complemented
1025#479C22×C3711yescharacteristic, complemented
1026#479C22×C3711yescharacteristic, complemented
1027#478C22×C3711yescharacteristic, complemented
1028#478C22×C3711yescharacteristic, complemented
1029#477C22×C3711yescharacteristic, complemented
1030#476C22×C3711yescharacteristic, complemented
1031#475C22×C3711yescharacteristic, complemented
1032#474C22×C3711yescharacteristic, complemented
1033#470C22×C3711yescharacteristic, complemented
1034#470C22×C3711yescharacteristic, complemented
1035#469C22×C3711yescharacteristic, complemented
1036#469C22×C3711yescharacteristic, complemented
1037#468C22×C3711yescharacteristic, complemented
1038#468C22×C3711yescharacteristic, complemented
1039#468C22×C3711yescharacteristic, complemented
1040#468C22×C3711yescharacteristic, complemented
1041#467C22×C3711yescharacteristic, complemented
1042#467C22×C3711yescharacteristic, complemented
1043#466C22×C3711yescharacteristic, complemented
1044#466C22×C3711yescharacteristic, complemented
1045#465C22×C3711yescharacteristic, complemented
1046#465C22×C3711yescharacteristic, complemented
1047#465C22×C3711yescharacteristic, complemented
1048#465C22×C3711yescharacteristic, complemented
1049#464C22×C3711yescharacteristic, complemented
1050#464C22×C3711yescharacteristic, complemented
1051#463C22×C3711yescharacteristic, complemented
1052#463C22×C3711yescharacteristic, complemented
1053#462C22×C3711yescharacteristic, complemented
1054#461C22×C3711yescharacteristic, complemented
1055#460C22×C3711yescharacteristic, complemented
1056#459C22×C3711yescharacteristic, complemented
1057#452C22×C3711yescharacteristic, complemented
1058#452C22×C3711yescharacteristic, complemented
1059#452C22×C3711yescharacteristic, complemented
1060#452C22×C3711yescharacteristic, complemented
1061#451C22×C3711yescharacteristic, complemented
1062#451C22×C3711yescharacteristic, complemented
1063#450C22×C3711yescharacteristic, complemented
1064#450C22×C3711yescharacteristic, complemented
1065#449C22×C3711yescharacteristic, complemented
1066#449C22×C3711yescharacteristic, complemented
1067#449C22×C3711yescharacteristic, complemented
1068#449C22×C3711yescharacteristic, complemented
1069#448C22×C3711yescharacteristic, complemented
1070#448C22×C3711yescharacteristic, complemented
1071#447C22×C3711yescharacteristic, complemented
1072#447C22×C3711yescharacteristic, complemented
1073#442C22×C3711yescharacteristic, complemented
1074#442C22×C3711yescharacteristic, complemented
1075#441C22×C3711yescharacteristic, complemented
1076#441C22×C3711yescharacteristic, complemented
1077#440C22×C3711yescharacteristic, complemented
1078#440C22×C3711yescharacteristic, complemented
1079#440C22×C3711yescharacteristic, complemented
1080#440C22×C3711yescharacteristic, complemented
1081#435C22×C3711yescharacteristic
1082#435C22×C3711yescharacteristic
1083#435C22×C3711yescharacteristic, complemented
1084#435C22×C3711yescharacteristic, complemented
1085#435C22×C3711yescharacteristic, complemented
1086#435C22×C3711yescharacteristic, complemented
1087#435C22×C3711yescharacteristic, complemented
1088#435C22×C3711yescharacteristic, complemented
1089#427C22×C3711yescharacteristic, complemented
1090#427C22×C3711yescharacteristic, complemented
1091#427C22×C3711yescharacteristic, complemented
1092C2×C4⋊C8C22×C3711yescharacteristic, complemented
1093#419C22×C3711yescharacteristic, complemented
1094#419C22×C3711yescharacteristic, complemented
1095#418C22×C3711yescharacteristic, complemented
1096#418C22×C3711yescharacteristic, complemented
1097#417C22×C3711yescharacteristic, complemented
1098#417C22×C3711yescharacteristic, complemented
1099#417C22×C3711yescharacteristic, complemented
1100#417C22×C3711yescharacteristic, complemented
1101#416C22×C3711yescharacteristic
1102#416C22×C3711yescharacteristic
1103#416C22×C3711yescharacteristic
1104#416C22×C3711yescharacteristic, complemented
1105#416C22×C3711yescharacteristic, complemented
1106#416C22×C3711yescharacteristic, complemented
1107#416C22×C3711yescharacteristic, complemented
1108#416C22×C3711yescharacteristic, complemented
1109#416C22×C3711yescharacteristic, complemented
1110#416C22×C3711yescharacteristic, complemented
1111#416C22×C3711yescharacteristic, complemented
1112#416C22×C3711yescharacteristic, complemented
1113#416C22×C3711yescharacteristic, complemented
1114#416C22×C3711yescharacteristic, complemented
1115C2×#103C22×C3711yescharacteristic, complemented
1116C2×#103C22×C3711yescharacteristic, complemented
1117C2×#102C22×C3711yescharacteristic, complemented
1118C2×#102C22×C3711yescharacteristic, complemented
1119C2×C22⋊C8C22×C3711yescharacteristic, complemented
1120C2×C22⋊C8C22×C3711yescharacteristic, complemented
1121C2×#97C22×C3711yescharacteristic, complemented
1122C37#6114111yescharacteristic, direct product factor, Sylow
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—21no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—24no—
1129C2×#41—24no—
1130C2×#41—42no—
1131C2×#41—42no—
1132C2×#41C23×C3711yescharacteristic
1133C2×#41C23×C3711yescharacteristic
1134C2×#41C23×C3711yescharacteristic
1135C2×#41C23×C3711yescharacteristic
1136C2×#41C23×C3711yescharacteristic
1137C2×#41C23×C3711yescharacteristic
1138C2×#41C23×C3711yescharacteristic
1139C2×#41C23×C3711yescharacteristic
1140C22×Q8C23×C3711yescharacteristic
1141C22×Q8C23×C3711yescharacteristic
1142C22×D4—21no—
1143C22×D4—21no—
1144C22×D4—21no—
1145C22×D4D4×C3711yescharacteristic
1146C22×D4C23×C3711yescharacteristic
1147C22×D4C23×C3711yescharacteristic
1148C23×C4—21no—
1149C23×C4—21no—
1150C23×C4C23×C3711yescharacteristic
1151C23×C4C23×C3711yescharacteristic
1152#135—24no—
1153#135—42no—
1154#135—42no—
1155C2×Q16C23×C3711yescharacteristic
1156C2×Q16C23×C3711yescharacteristic
1157C2×Q16C23×C3711yescharacteristic
1158C2×SD16C23×C3711yescharacteristic
1159C2×SD16C23×C3711yescharacteristic
1160C2×SD16C23×C3711yescharacteristic
1161C2×SD16C23×C3711yescharacteristic
1162C2×SD16C23×C3711yescharacteristic
1163C2×SD16C23×C3711yescharacteristic
1164C2×D8C23×C3711yescharacteristic
1165C2×D8C23×C3711yescharacteristic
1166C2×D8C23×C3711yescharacteristic
1167C2×M16—42no—
1168C2×M16C23×C3711yescharacteristic
1169C2×M16C23×C3711yescharacteristic
1170C2×M16C23×C3711yescharacteristic
1171C2×M16C23×C3711yescharacteristic
1172C22×C8—42no—
1173C22×C8C23×C3711yescharacteristic
1174C22×C8C23×C3711yescharacteristic
1175C22×C8C23×C3711yescharacteristic
1176C22×C8C23×C3711yescharacteristic
1177C22×C8C23×C3711yescharacteristic
1178C22×C8C23×C3711yescharacteristic
1179C22×C8C23×C3711yescharacteristic
1180C22×C8C23×C3711yescharacteristic
1181C4⋊Q8—21no—
1182C4⋊Q8C23×C3711yescharacteristic
1183C4⋊Q8C23×C3711yescharacteristic
1184C4⋊Q8C23×C3711yescharacteristic
1185#127—21no—
1186#127C23×C3711yescharacteristic
1187#126—21no—
1188#126—21no—
1189#126—21no—
1190#126—21no—
1191#126—21no—
1192#126—21no—
1193#125—21no—
1194#125—21no—
1195#125—21no—
1196#125C23×C3711yescharacteristic
1197#125C23×C3711yescharacteristic
1198#124—21no—
1199#124—21no—
1200#124—21no—
1201#124—21no—
1202#124—21no—
1203#124C23×C3711yescharacteristic
1204#124C23×C3711yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8C23×C3711yescharacteristic
1229C22⋊Q8C23×C3711yescharacteristic
1230C22⋊Q8C23×C3711yescharacteristic
1231C22⋊Q8C23×C3711yescharacteristic
1232C22⋊Q8C23×C3711yescharacteristic
1233C22⋊Q8C23×C3711yescharacteristic
1234C22⋊Q8C23×C3711yescharacteristic
1235C22⋊Q8C23×C3711yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121C23×C3711yescharacteristic
1250#121C23×C3711yescharacteristic
1251#121C23×C3711yescharacteristic
1252#121C23×C3711yescharacteristic
1253#121C23×C3711yescharacteristic
1254#121C23×C3711yescharacteristic
1255#121C23×C3711yescharacteristic
1256#121C23×C3711yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—21no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—21no—
1268C4×Q8C23×C3711yescharacteristic
1269C4×Q8C23×C3711yescharacteristic
1270C4×Q8C23×C3711yescharacteristic
1271C4×Q8C23×C3711yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4D4×C3711yescharacteristic
1294C4×D4D4×C3711yescharacteristic
1295C4×D4D4×C3711yescharacteristic
1296C4×D4D4×C3711yescharacteristic
1297C4×D4C23×C3711yescharacteristic
1298C4×D4C23×C3711yescharacteristic
1299C4×D4C23×C3711yescharacteristic
1300C4×D4C23×C3711yescharacteristic
1301C4×D4C23×C3711yescharacteristic
1302C4×D4C23×C3711yescharacteristic
1303C4×D4C23×C3711yescharacteristic
1304C4×D4C23×C3711yescharacteristic
1305#117—21no—
1306#117—21no—
1307#117—21no—
1308#117—21no—
1309#117—21no—
1310#117—21no—
1311#117—21no—
1312#117—21no—
1313#117—21no—
1314#117C23×C3711yescharacteristic
1315#117C23×C3711yescharacteristic
1316#117C23×C3711yescharacteristic
1317#117C23×C3711yescharacteristic
1318#117C23×C3711yescharacteristic
1319#117C23×C3711yescharacteristic
1320#117C23×C3711yescharacteristic
1321#117C23×C3711yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4D4×C3711yescharacteristic
1324C2×C4⋊C4C23×C3711yescharacteristic
1325C2×C4⋊C4C23×C3711yescharacteristic
1326C2×C4⋊C4C23×C3711yescharacteristic
1327C2×C4⋊C4C23×C3711yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—21no—
1331C2×C22⋊C4—21no—
1332C2×C22⋊C4D4×C3711yescharacteristic
1333C2×C22⋊C4D4×C3711yescharacteristic
1334C2×C42—21no—
1335C2×C42—21no—
1336C2×C42—21no—
1337C2×C42—21no—
1338C2×C42C23×C3711yescharacteristic
1339#107C23×C3711yescharacteristic
1340#107C23×C3711yescharacteristic
1341#107C23×C3711yescharacteristic
1342#107C23×C3711yescharacteristic
1343#107C23×C3711yescharacteristic
1344#107C23×C3711yescharacteristic
1345#106C23×C3711yescharacteristic
1346#106C23×C3711yescharacteristic
1347#106C23×C3711yescharacteristic
1348#106C23×C3711yescharacteristic
1349#106C23×C3711yescharacteristic
1350#106C23×C3711yescharacteristic
1351C4⋊C8C23×C3711yescharacteristic
1352C4⋊C8C23×C3711yescharacteristic
1353C4⋊C8C23×C3711yescharacteristic
1354C4⋊C8C23×C3711yescharacteristic
1355#103C23×C3711yescharacteristic
1356#103C23×C3711yescharacteristic
1357#103C23×C3711yescharacteristic
1358#103C23×C3711yescharacteristic
1359#103C23×C3711yescharacteristic
1360#103C23×C3711yescharacteristic
1361#103C23×C3711yescharacteristic
1362#103C23×C3711yescharacteristic
1363#103C23×C3711yescharacteristic
1364#103C23×C3711yescharacteristic
1365#103C23×C3711yescharacteristic
1366#103C23×C3711yescharacteristic
1367#103C23×C3711yescharacteristic
1368#103C23×C3711yescharacteristic
1369#103C23×C3711yescharacteristic
1370#103C23×C3711yescharacteristic
1371#103C23×C3711yescharacteristic
1372#103C23×C3711yescharacteristic
1373#103C23×C3711yescharacteristic
1374#103C23×C3711yescharacteristic
1375#102C23×C3711yescharacteristic
1376#102C23×C3711yescharacteristic
1377#102C23×C3711yescharacteristic
1378#102C23×C3711yescharacteristic
1379#102C23×C3711yescharacteristic
1380#102C23×C3711yescharacteristic
1381#102C23×C3711yescharacteristic
1382#102C23×C3711yescharacteristic
1383#102C23×C3711yescharacteristic
1384#102C23×C3711yescharacteristic
1385#102C23×C3711yescharacteristic
1386#102C23×C3711yescharacteristic
1387#102C23×C3711yescharacteristic
1388#102C23×C3711yescharacteristic
1389#102C23×C3711yescharacteristic
1390#102C23×C3711yescharacteristic
1391#102C23×C3711yescharacteristic
1392#102C23×C3711yescharacteristic
1393#102C23×C3711yescharacteristic
1394#102C23×C3711yescharacteristic
1395C22⋊C8C23×C3711yescharacteristic
1396C22⋊C8C23×C3711yescharacteristic
1397C22⋊C8C23×C3711yescharacteristic
1398C22⋊C8C23×C3711yescharacteristic
1399C22⋊C8C23×C3711yescharacteristic
1400C22⋊C8C23×C3711yescharacteristic
1401C22⋊C8C23×C3711yescharacteristic
1402C22⋊C8C23×C3711yescharacteristic
1403#97C23×C3711yescharacteristic
1404#97C23×C3711yescharacteristic
1405#97C23×C3711yescharacteristic
1406#97C23×C3711yescharacteristic
1407C24—21no—
1408C24—21no—
1409C24C2×D4×C3711yescharacteristic
1410C24C2×D4×C3711yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—44no—
1423#41—44no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—44no—
1429#41—44no—
1430#41—44no—
1431#41#41×C3714yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—21no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—41no—
1439C2×Q8—41no—
1440C2×Q8C24×C3711yescharacteristic
1441C2×Q8C24×C3711yescharacteristic
1442C2×Q8C24×C3711yescharacteristic
1443C2×Q8C24×C3711yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4C2×D4×C3711yescharacteristic
1473C2×D4C2×D4×C3711yescharacteristic
1474C2×D4C2×D4×C3711yescharacteristic
1475C2×D4C2×D4×C3711yescharacteristic
1476C2×D4C24×C3711yescharacteristic
1477C2×D4C24×C3711yescharacteristic
1478C2×D4C24×C3711yescharacteristic
1479C2×D4C24×C3711yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4C2×D4×C3711yescharacteristic
1505C22×C4C2×D4×C3711yescharacteristic
1506C22×C4C2×D4×C3711yescharacteristic
1507C22×C4C2×D4×C3711yescharacteristic
1508C22×C4C2×D4×C3711yescharacteristic
1509C22×C4C2×D4×C3711yescharacteristic
1510C22×C4C2×D4×C3711yescharacteristic
1511C22×C4C2×D4×C3711yescharacteristic
1512C22×C4C24×C3711yescharacteristic
1513C22×C4C24×C3711yescharacteristic
1514C22×C4C24×C3711yescharacteristic
1515C22×C4C24×C3711yescharacteristic
1516C22×C4C24×C3711yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—41no—
1520SD16—22no—
1521SD16—22no—
1522SD16—41no—
1523SD16—41no—
1524SD16—41no—
1525SD16—41no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—22no—
1536C2×C8—22no—
1537C2×C8—41no—
1538C2×C8—41no—
1539C2×C8—41no—
1540C2×C8—41no—
1541C2×C8C24×C3711yescharacteristic
1542C2×C8C24×C3711yescharacteristic
1543C2×C8C24×C3711yescharacteristic
1544C2×C8C24×C3711yescharacteristic
1545C2×C8C24×C3711yescharacteristic
1546C2×C8C24×C3711yescharacteristic
1547C2×C8C24×C3711yescharacteristic
1548C2×C8C24×C3711yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4C2×D4×C3711yescharacteristic
1574C4⋊C4C2×D4×C3711yescharacteristic
1575C4⋊C4C2×D4×C3711yescharacteristic
1576C4⋊C4C2×D4×C3711yescharacteristic
1577C4⋊C4C24×C3711yescharacteristic
1578C4⋊C4C24×C3711yescharacteristic
1579C4⋊C4C24×C3711yescharacteristic
1580C4⋊C4C24×C3711yescharacteristic
1581C4⋊C4C24×C3711yescharacteristic
1582C4⋊C4C24×C3711yescharacteristic
1583C4⋊C4C24×C3711yescharacteristic
1584C4⋊C4C24×C3711yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4C2×D4×C3711yescharacteristic
1618C22⋊C4C2×D4×C3711yescharacteristic
1619C22⋊C4C2×D4×C3711yescharacteristic
1620C22⋊C4C2×D4×C3711yescharacteristic
1621C22⋊C4C2×D4×C3711yescharacteristic
1622C22⋊C4C2×D4×C3711yescharacteristic
1623C22⋊C4C2×D4×C3711yescharacteristic
1624C22⋊C4C2×D4×C3711yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42—21no—
1635C42—21no—
1636C42—21no—
1637C42C2×D4×C3711yescharacteristic
1638C42C2×D4×C3711yescharacteristic
1639C42C24×C3711yescharacteristic
1640C42C24×C3711yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—42no—
1655C23—81no—
1656C23—81no—
1657C23C22×D4×C3711yescharacteristic
1658C23C22×D4×C3711yescharacteristic
1659C23C22×D4×C3711yescharacteristic
1660C23C22×D4×C3711yescharacteristic
1661C23C22×D4×C3711yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—42no—
1670Q8—42no—
1671Q8—42no—
1672Q8—81no—
1673Q8C2×#41×C3712yes—
1674D4—24no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—41no—
1685D4—41no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4C2×#41×C3712yes—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4C22×D4×C3711yescharacteristic
1753C2×C4C22×D4×C3711yescharacteristic
1754C2×C4C22×D4×C3711yescharacteristic
1755C2×C4C22×D4×C3711yescharacteristic
1756C2×C4C22×D4×C3711yescharacteristic
1757C2×C4C22×D4×C3711yescharacteristic
1758C2×C4C22×D4×C3711yescharacteristic
1759C2×C4C22×D4×C3711yescharacteristic
1760C2×C4C22×D4×C3711yescharacteristic
1761C2×C4C2×#41×C3712yes—
1762C2×C4H(5,𝔽2)×C3712yes—
1763C2×C4C25×C3711yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—22no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—82no—
1799C22—84no—
1800C22—84no—
1801C22C37×#54612yes—
1802C22C37×#57512yes—
1803C22C23×D4×C3711yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—22no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—21no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4C37×#54612yes—
1825C4C22×#41×C3711yescharacteristic
1826C4C2×H(5,𝔽2)×C3711yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—81no—
1836C2C2×C37×#54611yescharacteristic
1837C2C2×C37×#57511yescharacteristic
1838C2C37×#358411yescharacteristic
subgroupG/H
centerC2×C4×C37C22×D4
commutator, Frattini, cosocleC2×C4C25×C37
socleC22×C37C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C37 ◁ C2×C4×D4×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3475C2semidirect
2. D4×#41×C37C2semidirect
3. C37×#3321C2semidirect
4. C37×#3320C2semidirect
5. C37×#3319C2semidirect
6. C37×#3318C2semidirect
7. C37×#3317C2semidirect
8. C37×#3316C2semidirect
9. C37×#3315C2semidirect
10. C37×#3314C2semidirect
11. C37×#3313C2semidirect
12. C37×#3312C2semidirect
13. C37×#3311C2semidirect
14. C37×#3310C2semidirect
15. C37×#3309C2semidirect
16. C37×#3308C2semidirect
17. C37×#3307C2semidirect
18. C37×#3306C2semidirect
19. C37×#3135C2semidirect
20. C37×#3091C2semidirect
21. C37×#3091C2semidirect
22. C37×#3076C2semidirect
23. C37×#3054C2semidirect
24. C37×#3050C2semidirect
25. C37×#3035C2semidirect
26. C37×#3002C2semidirect
27. C37×#3002C2semidirect
28. C37×#2943C2semidirect
29. C2×C37×#435C2semidirect
30. C37×#2896C2semidirect
31. C2×C37×#416C2semidirect
35. C2×#135×C37C22semidirect
36. C2×#135×C37C22semidirect
37. C22×M16×C37C22semidirect
38. C23×C8×C37C22semidirect
39. C37×#556C22semidirect
40. C37×#555C22semidirect
41. C37×#554C22semidirect
43. C37×#553C22semidirect
46. C37×#552C22semidirect
55. C37×#547C22semidirect
63. C37×#533C22semidirect
73. C37×#525C22semidirect
74. C37×#525C22semidirect
77. C4×#41×C37C22semidirect
80. C2×#117×C37C22semidirect
81. C2×#117×C37C22semidirect
82. C37×#491C22semidirect
83. C37×#491C22semidirect
84. C37×#490C22semidirect
85. C37×#490C22semidirect
86. C37×#489C22semidirect
87. C37×#489C22semidirect
88. C37×#489C22semidirect
89. C37×#489C22semidirect
90. C37×#485C22semidirect
91. C37×#485C22semidirect
92. C37×#485C22semidirect
93. C37×#485C22semidirect
94. C37×#484C22semidirect
95. C37×#484C22semidirect
96. C37×#483C22semidirect
97. C37×#483C22semidirect
98. C37×#482C22semidirect
99. C37×#482C22semidirect
100. C37×#482C22semidirect
101. C37×#482C22semidirect
102. C37×#481C22semidirect
103. C37×#481C22semidirect
104. C37×#480C22semidirect
105. C37×#480C22semidirect
106. C37×#479C22semidirect
107. C37×#479C22semidirect
108. C37×#478C22semidirect
109. C37×#478C22semidirect
110. C37×#477C22semidirect
111. C37×#476C22semidirect
112. C37×#475C22semidirect
113. C37×#474C22semidirect
114. C37×#470C22semidirect
115. C37×#470C22semidirect
116. C37×#469C22semidirect
117. C37×#469C22semidirect
118. C37×#468C22semidirect
119. C37×#468C22semidirect
120. C37×#468C22semidirect
121. C37×#468C22semidirect
122. C37×#467C22semidirect
123. C37×#467C22semidirect
124. C37×#466C22semidirect
125. C37×#466C22semidirect
126. C37×#465C22semidirect
127. C37×#465C22semidirect
128. C37×#465C22semidirect
129. C37×#465C22semidirect
130. C37×#464C22semidirect
131. C37×#464C22semidirect
132. C37×#463C22semidirect
133. C37×#463C22semidirect
134. C37×#462C22semidirect
135. C37×#461C22semidirect
136. C37×#460C22semidirect
137. C37×#459C22semidirect
138. C37×#452C22semidirect
139. C37×#452C22semidirect
140. C37×#452C22semidirect
141. C37×#452C22semidirect
142. C37×#451C22semidirect
143. C37×#451C22semidirect
144. C37×#450C22semidirect
145. C37×#450C22semidirect
146. C37×#449C22semidirect
147. C37×#449C22semidirect
148. C37×#449C22semidirect
149. C37×#449C22semidirect
150. C37×#448C22semidirect
151. C37×#448C22semidirect
152. C37×#447C22semidirect
153. C37×#447C22semidirect
154. C37×#442C22semidirect
155. C37×#442C22semidirect
156. C37×#441C22semidirect
157. C37×#441C22semidirect
158. C37×#440C22semidirect
159. C37×#440C22semidirect
160. C37×#440C22semidirect
161. C37×#440C22semidirect
164. C37×#435C22semidirect
165. C37×#435C22semidirect
166. C37×#435C22semidirect
167. C37×#435C22semidirect
168. C37×#435C22semidirect
169. C37×#435C22semidirect
170. C37×#427C22semidirect
171. C37×#427C22semidirect
172. C37×#427C22semidirect
173. C2×C4⋊C8×C37C22semidirect
174. C37×#419C22semidirect
175. C37×#419C22semidirect
176. C37×#418C22semidirect
177. C37×#418C22semidirect
178. C37×#417C22semidirect
179. C37×#417C22semidirect
180. C37×#417C22semidirect
181. C37×#417C22semidirect
185. C37×#416C22semidirect
186. C37×#416C22semidirect
187. C37×#416C22semidirect
188. C37×#416C22semidirect
189. C37×#416C22semidirect
190. C37×#416C22semidirect
191. C37×#416C22semidirect
192. C37×#416C22semidirect
193. C37×#416C22semidirect
194. C37×#416C22semidirect
195. C37×#416C22semidirect
196. C2×#103×C37C22semidirect
197. C2×#103×C37C22semidirect
198. C2×#102×C37C22semidirect
199. C2×#102×C37C22semidirect
200. C2×C22⋊C8×C37C22semidirect
201. C2×C22⋊C8×C37C22semidirect
202. C2×#97×C37C22semidirect
511. #41×C37#41semidirect
852. #61141C37direct (N × H)
908. #3475C2×C37semidirect
909. D4×#41C2×C37semidirect
910. #3321C2×C37semidirect
911. #3320C2×C37semidirect
912. #3319C2×C37semidirect
913. #3318C2×C37semidirect
914. #3317C2×C37semidirect
915. #3316C2×C37semidirect
916. #3315C2×C37semidirect
917. #3314C2×C37semidirect
918. #3313C2×C37semidirect
919. #3312C2×C37semidirect
920. #3311C2×C37semidirect
921. #3310C2×C37semidirect
922. #3309C2×C37semidirect
923. #3308C2×C37semidirect
924. #3307C2×C37semidirect
925. #3306C2×C37semidirect
926. #3135C2×C37semidirect
927. #3091C2×C37semidirect
928. #3091C2×C37semidirect
929. #3076C2×C37semidirect
930. #3054C2×C37semidirect
931. #3050C2×C37semidirect
932. #3035C2×C37semidirect
933. #3002C2×C37semidirect
934. #3002C2×C37semidirect
935. #2943C2×C37semidirect
936. C2×#435C2×C37semidirect
937. #2896C2×C37semidirect
938. C2×#416C2×C37semidirect
954. C2×#135C22×C37semidirect
955. C2×#135C22×C37semidirect
956. C22×M16C22×C37semidirect
957. C23×C8C22×C37semidirect
958. #556C22×C37semidirect
959. #555C22×C37semidirect
960. #554C22×C37semidirect
962. #553C22×C37semidirect
965. #552C22×C37semidirect
974. #547C22×C37semidirect
982. #533C22×C37semidirect
992. #525C22×C37semidirect
993. #525C22×C37semidirect
996. C4×#41C22×C37semidirect
999. C2×#117C22×C37semidirect
1000. C2×#117C22×C37semidirect
1001. #491C22×C37semidirect
1002. #491C22×C37semidirect
1003. #490C22×C37semidirect
1004. #490C22×C37semidirect
1005. #489C22×C37semidirect
1006. #489C22×C37semidirect
1007. #489C22×C37semidirect
1008. #489C22×C37semidirect
1009. #485C22×C37semidirect
1010. #485C22×C37semidirect
1011. #485C22×C37semidirect
1012. #485C22×C37semidirect
1013. #484C22×C37semidirect
1014. #484C22×C37semidirect
1015. #483C22×C37semidirect
1016. #483C22×C37semidirect
1017. #482C22×C37semidirect
1018. #482C22×C37semidirect
1019. #482C22×C37semidirect
1020. #482C22×C37semidirect
1021. #481C22×C37semidirect
1022. #481C22×C37semidirect
1023. #480C22×C37semidirect
1024. #480C22×C37semidirect
1025. #479C22×C37semidirect
1026. #479C22×C37semidirect
1027. #478C22×C37semidirect
1028. #478C22×C37semidirect
1029. #477C22×C37semidirect
1030. #476C22×C37semidirect
1031. #475C22×C37semidirect
1032. #474C22×C37semidirect
1033. #470C22×C37semidirect
1034. #470C22×C37semidirect
1035. #469C22×C37semidirect
1036. #469C22×C37semidirect
1037. #468C22×C37semidirect
1038. #468C22×C37semidirect
1039. #468C22×C37semidirect
1040. #468C22×C37semidirect
1041. #467C22×C37semidirect
1042. #467C22×C37semidirect
1043. #466C22×C37semidirect
1044. #466C22×C37semidirect
1045. #465C22×C37semidirect
1046. #465C22×C37semidirect
1047. #465C22×C37semidirect
1048. #465C22×C37semidirect
1049. #464C22×C37semidirect
1050. #464C22×C37semidirect
1051. #463C22×C37semidirect
1052. #463C22×C37semidirect
1053. #462C22×C37semidirect
1054. #461C22×C37semidirect
1055. #460C22×C37semidirect
1056. #459C22×C37semidirect
1057. #452C22×C37semidirect
1058. #452C22×C37semidirect
1059. #452C22×C37semidirect
1060. #452C22×C37semidirect
1061. #451C22×C37semidirect
1062. #451C22×C37semidirect
1063. #450C22×C37semidirect
1064. #450C22×C37semidirect
1065. #449C22×C37semidirect
1066. #449C22×C37semidirect
1067. #449C22×C37semidirect
1068. #449C22×C37semidirect
1069. #448C22×C37semidirect
1070. #448C22×C37semidirect
1071. #447C22×C37semidirect
1072. #447C22×C37semidirect
1073. #442C22×C37semidirect
1074. #442C22×C37semidirect
1075. #441C22×C37semidirect
1076. #441C22×C37semidirect
1077. #440C22×C37semidirect
1078. #440C22×C37semidirect
1079. #440C22×C37semidirect
1080. #440C22×C37semidirect
1083. #435C22×C37semidirect
1084. #435C22×C37semidirect
1085. #435C22×C37semidirect
1086. #435C22×C37semidirect
1087. #435C22×C37semidirect
1088. #435C22×C37semidirect
1089. #427C22×C37semidirect
1090. #427C22×C37semidirect
1091. #427C22×C37semidirect
1092. C2×C4⋊C8C22×C37semidirect
1093. #419C22×C37semidirect
1094. #419C22×C37semidirect
1095. #418C22×C37semidirect
1096. #418C22×C37semidirect
1097. #417C22×C37semidirect
1098. #417C22×C37semidirect
1099. #417C22×C37semidirect
1100. #417C22×C37semidirect
1104. #416C22×C37semidirect
1105. #416C22×C37semidirect
1106. #416C22×C37semidirect
1107. #416C22×C37semidirect
1108. #416C22×C37semidirect
1109. #416C22×C37semidirect
1110. #416C22×C37semidirect
1111. #416C22×C37semidirect
1112. #416C22×C37semidirect
1113. #416C22×C37semidirect
1114. #416C22×C37semidirect
1115. C2×#103C22×C37semidirect
1116. C2×#103C22×C37semidirect
1117. C2×#102C22×C37semidirect
1118. C2×#102C22×C37semidirect
1119. C2×C22⋊C8C22×C37semidirect
1120. C2×C22⋊C8C22×C37semidirect
1121. C2×#97C22×C37semidirect
1122. C37#61141direct (N × H)
1431. #41#41×C37semidirect

Maximal subgroups

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

subgroupindex
C37×#34752
D4×#41×C372
C37×#33212
C37×#33202
C37×#33192
C37×#33182
C37×#33172
C37×#33162
C37×#33152
C37×#33142
C37×#33132
C37×#33122
C37×#33112
C37×#33102
C37×#33092
C37×#33082
C37×#33072
C37×#33062
C37×#31352
C37×#30912
C37×#30762
C37×#30542
C37×#30502
C37×#30352
C37×#30022
C37×#29432
C2×C37×#4352
C37×#28962
C2×C37×#4162
#6114137