Finite Group Databasebeta

← C37×#61972 #22683225

Subgroups — C37×#61972 #22683225

Order 9472.

1856 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3514C211yesmaximal, characteristic, complemented
2C37×#3482C211yesmaximal, characteristic, complemented
3C37×#3402C211yesmaximal, characteristic, complemented
4C37×#3401C211yesmaximal, characteristic, complemented
5C37×#3377C211yesmaximal, characteristic, complemented
6C37×#3371C211yesmaximal, characteristic, complemented
7C37×#3327C211yesmaximal, characteristic, complemented
8C37×#3323C211yesmaximal, characteristic, complemented
9C37×#3312C211yesmaximal, characteristic, complemented
10C37×#3310C211yesmaximal, characteristic, complemented
11C37×#3308C211yesmaximal, characteristic, complemented
12C37×#3306C211yesmaximal, characteristic, complemented
13C37×#3277C211yesmaximal, characteristic, complemented
14C37×#3275C211yesmaximal, characteristic, complemented
15C37×#3270C211yesmaximal, characteristic, complemented
16C37×#3270C211yesmaximal, characteristic, complemented
17C37×#3266C211yesmaximal, characteristic, complemented
18C37×#3265C211yesmaximal, characteristic, complemented
19C37×#3256C211yesmaximal, characteristic, complemented
20C37×#3252C211yesmaximal, characteristic, complemented
21C37×#3250C211yesmaximal, characteristic, complemented
22C37×#3219C211yesmaximal, characteristic, complemented
23C37×#3215C211yesmaximal, characteristic, complemented
24C37×#3211C211yesmaximal, characteristic, complemented
25C37×#3117C211yesmaximal, characteristic, complemented
26C37×#3111C211yesmaximal, characteristic, complemented
27C37×#3108C211yesmaximal, characteristic, complemented
28C37×#3040C211yesmaximal, characteristic, complemented
29C37×#3037C211yesmaximal, characteristic, complemented
30C2×C37×#464C211yesmaximal, characteristic, complemented
31C37×#2989C211yesmaximal, characteristic, complemented
32C2×#137×C37C2211yescharacteristic, complemented
33C2×#137×C37C2211yescharacteristic, complemented
34C2×#137×C37C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C37C2211yescharacteristic
36C22×Q16×C37C2211yescharacteristic, complemented
37C22×SD16×C37C2211yescharacteristic
38C37×#559C2211yescharacteristic
39C37×#557C2211yescharacteristic, complemented
40C37×#556—21no—
41C37×#556C2211yescharacteristic
42C37×#556C2211yescharacteristic, complemented
43C37×#555—21no—
44C37×#552—21no—
45C37×#552—21no—
46C37×#552C2211yescharacteristic
47C37×#552C2211yescharacteristic, complemented
48C37×#551—21no—
49C37×#551—21no—
50D4×Q8×C37C2211yescharacteristic
51D4×Q8×C37C2211yescharacteristic, complemented
52C37×#548C2211yescharacteristic
53C37×#548C2211yescharacteristic
54C37×#548C2211yescharacteristic
55C37×#548C2211yescharacteristic, complemented
56C37×#547—21no—
57C37×#547C2211yescharacteristic, complemented
58C37×#546—21no—
59C37×#546C2211yescharacteristic
60C37×#546C2211yescharacteristic
61D42×C37C2211yescharacteristic
62C37×#542—21no—
63C37×#538—21no—
64C37×#538—21no—
65C37×#533—21no—
66C37×#533C2211yescharacteristic, complemented
67C37×#532C2211yescharacteristic
68C37×#529—21no—
69C37×#529—21no—
70C37×#529C2211yescharacteristic
71C37×#529C2211yescharacteristic
72C37×#529C2211yescharacteristic
73C37×#529C2211yescharacteristic, complemented
74C37×#529C2211yescharacteristic, complemented
75C2×#124×C37C2211yescharacteristic
76C2×#124×C37C2211yescharacteristic
77C37×#518—21no—
78C4×#41×C37—21no—
79C4×#41×C37C2211yescharacteristic
80C4×#41×C37C2211yescharacteristic, complemented
81C2×C4×Q8×C37C2211yescharacteristic, complemented
82C2×C4×Q8×C37C2211yescharacteristic, complemented
83C37×#497C2211yescharacteristic
84C37×#497C2211yescharacteristic, complemented
85C37×#497C2211yescharacteristic, complemented
86C37×#496C2211yescharacteristic
87C37×#495C2211yescharacteristic
88C37×#495C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#490C2211yescharacteristic
91C37×#489C2211yescharacteristic
92C37×#489C2211yescharacteristic, complemented
93C37×#488C2211yescharacteristic
94C37×#488C2211yescharacteristic, complemented
95C37×#485C2211yescharacteristic, complemented
96C37×#484C2211yescharacteristic, complemented
97C37×#483C2211yescharacteristic, complemented
98C37×#482C2211yescharacteristic
99C37×#481C2211yescharacteristic
100C37×#480C2211yescharacteristic
101C37×#479C2211yescharacteristic, complemented
102C37×#479C2211yescharacteristic, complemented
103C37×#479C2211yescharacteristic, complemented
104C37×#479C2211yescharacteristic, complemented
105C37×#479C2211yescharacteristic, complemented
106C37×#478C2211yescharacteristic
107C37×#478C2211yescharacteristic, complemented
108C37×#478C2211yescharacteristic, complemented
109C37×#477C2211yescharacteristic, complemented
110C37×#476C2211yescharacteristic, complemented
111C37×#470C2211yescharacteristic, complemented
112C37×#470C2211yescharacteristic, complemented
113C37×#470C2211yescharacteristic, complemented
114C37×#469C2211yescharacteristic
115C37×#468C2211yescharacteristic
116C37×#468C2211yescharacteristic
117C37×#468C2211yescharacteristic
118C37×#468C2211yescharacteristic, complemented
119C37×#467C2211yescharacteristic, complemented
120C37×#466C2211yescharacteristic
121C37×#465C2211yescharacteristic
122C37×#465C2211yescharacteristic, complemented
123C37×#464C2211yescharacteristic
124C37×#464C2211yescharacteristic
125C37×#464C2211yescharacteristic
126C37×#464C2211yescharacteristic
127C37×#464C2211yescharacteristic
128C37×#464C2211yescharacteristic
129C37×#464C2211yescharacteristic, complemented
130C37×#464C2211yescharacteristic, complemented
131C37×#464C2211yescharacteristic, complemented
132C37×#464C2211yescharacteristic, complemented
133C37×#464C2211yescharacteristic, complemented
134C37×#464C2211yescharacteristic, complemented
135C37×#464C2211yescharacteristic, complemented
136C37×#464C2211yescharacteristic, complemented
137C37×#464C2211yescharacteristic, complemented
138C37×#464C2211yescharacteristic, complemented
139C37×#464C2211yescharacteristic, complemented
140C37×#463C2211yescharacteristic
141C37×#463C2211yescharacteristic
142C37×#463C2211yescharacteristic
143C37×#463C2211yescharacteristic, complemented
144C37×#463C2211yescharacteristic, complemented
145C37×#463C2211yescharacteristic, complemented
146C37×#463C2211yescharacteristic, complemented
147C37×#462C2211yescharacteristic, complemented
148C37×#462C2211yescharacteristic, complemented
149C37×#462C2211yescharacteristic, complemented
150C37×#461C2211yescharacteristic, complemented
151C37×#460C2211yescharacteristic
152C37×#460C2211yescharacteristic
153C37×#452C2211yescharacteristic, complemented
154C37×#452C2211yescharacteristic, complemented
155C37×#452C2211yescharacteristic, complemented
156C37×#451C2211yescharacteristic, complemented
157C37×#451C2211yescharacteristic, complemented
158C37×#451C2211yescharacteristic, complemented
159C37×#451C2211yescharacteristic, complemented
160C37×#451C2211yescharacteristic, complemented
161C37×#450C2211yescharacteristic
162C37×#450C2211yescharacteristic
163C37×#450C2211yescharacteristic
164C37×#449C2211yescharacteristic
165C37×#449C2211yescharacteristic, complemented
166C37×#449C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic
168C37×#448C2211yescharacteristic
169C37×#448C2211yescharacteristic, complemented
170C37×#447C2211yescharacteristic
171C37×#446C2211yescharacteristic, complemented
172C37×#446C2211yescharacteristic, complemented
173C37×#442C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#441C2211yescharacteristic, complemented
176C37×#441C2211yescharacteristic, complemented
177C37×#440C2211yescharacteristic
178C37×#440C2211yescharacteristic
179C37×#440C2211yescharacteristic, complemented
180C37×#440C2211yescharacteristic, complemented
181C4×Q16×C37C2211yescharacteristic, complemented
182C4×Q16×C37C2211yescharacteristic, complemented
183C4×SD16×C37C2211yescharacteristic, complemented
184C4×SD16×C37C2211yescharacteristic, complemented
185C37×#436C2211yescharacteristic, complemented
186C37×#436C2211yescharacteristic, complemented
187C37×#435C2211yescharacteristic
188C37×#435C2211yescharacteristic
189C37×#435C2211yescharacteristic, complemented
190C37×#435C2211yescharacteristic, complemented
191C37×#432C2211yescharacteristic, complemented
192C37×#432C2211yescharacteristic, complemented
193C37×#431C2211yescharacteristic, complemented
194C37×#423C2211yescharacteristic, complemented
195C37×#423C2211yescharacteristic, complemented
196C2×C4⋊C8×C37C2211yescharacteristic, complemented
197C37×#419C2211yescharacteristic, complemented
198C37×#418C2211yescharacteristic
199C37×#417C2211yescharacteristic, complemented
200C37×#417C2211yescharacteristic, complemented
201C2×#103×C37C2211yescharacteristic, complemented
202C2×#102×C37C2211yescharacteristic
203C2×#41×C37—21no—
204C2×#41×C37D411yescharacteristic
205C2×#41×C37C2311yescharacteristic
206C2×#41×C37C2311yescharacteristic
207C2×#41×C37C2311yescharacteristic
208C22×Q8×C37C2311yescharacteristic
209C22×Q8×C37C2311yescharacteristic
210C22×Q8×C37C2311yescharacteristic
211C22×Q8×C37C2311yescharacteristic
212C22×D4×C37—21no—
213C22×D4×C37C2311yescharacteristic
214C22×D4×C37C2311yescharacteristic
215#137×C37—42no—
216#137×C37—42no—
217#137×C37—42no—
218AGL(1,ℤ/8)×C37—42no—
219C2×Q16×C37—42no—
220C2×Q16×C37C2311yescharacteristic
221C2×Q16×C37C2311yescharacteristic
222C2×Q16×C37C2311yescharacteristic
223C2×Q16×C37C2311yescharacteristic
224C2×Q16×C37C2311yescharacteristic
225C2×Q16×C37C2311yescharacteristic
226C2×Q16×C37C2311yescharacteristic
227C2×Q16×C37C2311yescharacteristic
228C2×Q16×C37C2311yescharacteristic
229C2×SD16×C37—42no—
230C2×SD16×C37C2311yescharacteristic
231C2×SD16×C37C2311yescharacteristic
232C2×SD16×C37C2311yescharacteristic
233C2×SD16×C37C2311yescharacteristic
234C2×SD16×C37C2311yescharacteristic
235C2×SD16×C37C2311yescharacteristic
236C2×SD16×C37C2311yescharacteristic
237C2×SD16×C37C2311yescharacteristic
238C2×SD16×C37C2311yescharacteristic
239C2×SD16×C37C2311yescharacteristic
240C2×SD16×C37C2311yescharacteristic
241C2×SD16×C37C2311yescharacteristic
242C2×D8×C37C2311yescharacteristic
243C2×D8×C37C2311yescharacteristic
244C2×D8×C37C2311yescharacteristic
245C2×M16×C37C2311yescharacteristic
246C2×M16×C37C2311yescharacteristic
247C2×M16×C37C2311yescharacteristic
248C2×M16×C37C2311yescharacteristic
249C22×C8×C37C2311yescharacteristic
250C22×C8×C37C2311yescharacteristic
251C4⋊Q8×C37—21no—
252C4⋊Q8×C37—21no—
253C4⋊Q8×C37—21no—
254C4⋊Q8×C37C2311yescharacteristic
255C4⋊Q8×C37C2311yescharacteristic
256C4⋊Q8×C37C2311yescharacteristic
257#127×C37C2311yescharacteristic
258#126×C37—21no—
259#126×C37—21no—
260#126×C37—21no—
261#126×C37—21no—
262#126×C37—21no—
263#126×C37—21no—
264#126×C37—21no—
265#126×C37—21no—
266#126×C37—21no—
267#126×C37—21no—
268#126×C37—21no—
269#125×C37—21no—
270#125×C37—21no—
271#125×C37—21no—
272#125×C37—21no—
273#125×C37—21no—
274#125×C37C2311yescharacteristic
275#125×C37C2311yescharacteristic
276#125×C37C2311yescharacteristic
277#124×C37—21no—
278#124×C37—21no—
279#124×C37—21no—
280#124×C37—21no—
281#124×C37—21no—
282#124×C37—21no—
283#124×C37—21no—
284#124×C37—21no—
285#124×C37—21no—
286#124×C37C2311yescharacteristic
287#124×C37C2311yescharacteristic
288#124×C37C2311yescharacteristic
289#124×C37C2311yescharacteristic
290#124×C37C2311yescharacteristic
291#124×C37C2311yescharacteristic
292#124×C37C2311yescharacteristic
293#124×C37C2311yescharacteristic
294#124×C37C2311yescharacteristic
295#123×C37—21no—
296#123×C37—21no—
297#123×C37—21no—
298#123×C37—21no—
299#123×C37—21no—
300#123×C37—21no—
301#123×C37—21no—
302#123×C37—21no—
303#123×C37—21no—
304#123×C37—21no—
305#123×C37—21no—
306#123×C37—21no—
307#123×C37—21no—
308C22⋊Q8×C37—21no—
309C22⋊Q8×C37—21no—
310C22⋊Q8×C37—21no—
311C22⋊Q8×C37—21no—
312C22⋊Q8×C37—21no—
313C22⋊Q8×C37—21no—
314C22⋊Q8×C37—21no—
315C22⋊Q8×C37—21no—
316C22⋊Q8×C37—21no—
317C22⋊Q8×C37—21no—
318C22⋊Q8×C37—21no—
319C22⋊Q8×C37—21no—
320C22⋊Q8×C37C2311yescharacteristic
321C22⋊Q8×C37C2311yescharacteristic
322C22⋊Q8×C37C2311yescharacteristic
323C22⋊Q8×C37C2311yescharacteristic
324C22⋊Q8×C37C2311yescharacteristic
325C22⋊Q8×C37C2311yescharacteristic
326C22⋊Q8×C37C2311yescharacteristic
327#121×C37—21no—
328#121×C37—21no—
329#121×C37—21no—
330#121×C37—21no—
331#121×C37—21no—
332#121×C37—21no—
333#121×C37—21no—
334#121×C37—21no—
335#121×C37—21no—
336#121×C37C2311yescharacteristic
337#121×C37C2311yescharacteristic
338#121×C37C2311yescharacteristic
339#121×C37C2311yescharacteristic
340#121×C37C2311yescharacteristic
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×C37—21no—
349C4×Q8×C37—21no—
350C4×Q8×C37—21no—
351C4×Q8×C37D411yescharacteristic
352C4×Q8×C37C2311yescharacteristic
353C4×Q8×C37C2311yescharacteristic
354C4×Q8×C37C2311yescharacteristic
355C4×Q8×C37C2311yescharacteristic
356C4×Q8×C37C2311yescharacteristic
357C4×Q8×C37C2311yescharacteristic
358C4×Q8×C37C2311yescharacteristic
359C4×Q8×C37C2311yescharacteristic
360C4×Q8×C37C2311yescharacteristic
361C4×Q8×C37C2311yescharacteristic
362C4×Q8×C37C2311yescharacteristic
363C4×Q8×C37C2311yescharacteristic
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×C37—21no—
374C4×D4×C37—21no—
375C4×D4×C37—21no—
376C4×D4×C37—21no—
377C4×D4×C37—21no—
378C4×D4×C37—21no—
379C4×D4×C37—21no—
380C4×D4×C37D411yescharacteristic
381C4×D4×C37D411yescharacteristic
382C4×D4×C37D411yescharacteristic
383C4×D4×C37C2311yescharacteristic
384C4×D4×C37C2311yescharacteristic
385C4×D4×C37C2311yescharacteristic
386C4×D4×C37C2311yescharacteristic
387C4×D4×C37C2311yescharacteristic
388C4×D4×C37C2311yescharacteristic
389C4×D4×C37C2311yescharacteristic
390C4×D4×C37C2311yescharacteristic
391#117×C37—21no—
392#117×C37—21no—
393#117×C37—21no—
394#117×C37—21no—
395#117×C37—21no—
396#117×C37—21no—
397#117×C37—21no—
398#117×C37—21no—
399#117×C37—21no—
400#117×C37—21no—
401#117×C37—21no—
402#117×C37D411yescharacteristic
403#117×C37D411yescharacteristic
404#117×C37D411yescharacteristic
405#117×C37C2311yescharacteristic
406C2×C4⋊C4×C37—21no—
407C2×C4⋊C4×C37—21no—
408C2×C4⋊C4×C37C2311yescharacteristic
409C2×C4⋊C4×C37C2311yescharacteristic
410C2×C22⋊C4×C37—21no—
411C2×C22⋊C4×C37—21no—
412C2×C22⋊C4×C37—21no—
413C2×C22⋊C4×C37—21no—
414C2×C22⋊C4×C37—21no—
415C2×C22⋊C4×C37—21no—
416C2×C42×C37—21no—
417C2×C42×C37—21no—
418C2×C42×C37—21no—
419C2×C42×C37C2311yescharacteristic
420C2×C42×C37C2311yescharacteristic
421C2×C42×C37C2311yescharacteristic
422#107×C37C2311yescharacteristic
423#107×C37C2311yescharacteristic
424#107×C37C2311yescharacteristic
425#107×C37C2311yescharacteristic
426#106×C37C2311yescharacteristic
427#106×C37C2311yescharacteristic
428#106×C37C2311yescharacteristic
429#106×C37C2311yescharacteristic
430C4⋊C8×C37C2311yescharacteristic
431C4⋊C8×C37C2311yescharacteristic
432C4⋊C8×C37C2311yescharacteristic
433C4⋊C8×C37C2311yescharacteristic
434C4⋊C8×C37C2311yescharacteristic
435C4⋊C8×C37C2311yescharacteristic
436C4⋊C8×C37C2311yescharacteristic
437C4⋊C8×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×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#103×C37C2311yescharacteristic
456#103×C37C2311yescharacteristic
457#103×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
472C22⋊C8×C37C2311yescharacteristic
473C22⋊C8×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478#97×C37C2311yescharacteristic
479#97×C37C2311yescharacteristic
480#97×C37C2311yescharacteristic
481#97×C37C2311yescharacteristic
482C4×C8×C37C2311yescharacteristic
483C4×C8×C37C2311yescharacteristic
484C24×C37—21no—
485C24×C37—21no—
486#41×C37—22no—
487#41×C37—42no—
488#41×C37—41no—
489#41×C37—41no—
490#41×C37—41no—
491#41×C37—41no—
492#41×C37—41no—
493#41×C37—44no—
494C2×Q8×C37—21no—
495C2×Q8×C37—21no—
496C2×Q8×C37—21no—
497C2×Q8×C37—21no—
498C2×Q8×C37—21no—
499C2×Q8×C37—22no—
500C2×Q8×C37—22no—
501C2×Q8×C37—41no—
502C2×Q8×C37—41no—
503C2×Q8×C37—41no—
504C2×Q8×C37—41no—
505C2×Q8×C37—41no—
506C2×Q8×C37—41no—
507C2×Q8×C37C2×D411yescharacteristic
508C2×Q8×C37C2411yescharacteristic
509C2×Q8×C37C2411yescharacteristic
510C2×Q8×C37C2411yescharacteristic
511C2×Q8×C37C2411yescharacteristic
512C2×Q8×C37C2411yescharacteristic
513C2×Q8×C37C2411yescharacteristic
514C2×D4×C37—21no—
515C2×D4×C37—21no—
516C2×D4×C37—21no—
517C2×D4×C37—21no—
518C2×D4×C37—21no—
519C2×D4×C37—21no—
520C2×D4×C37—21no—
521C2×D4×C37—21no—
522C2×D4×C37—21no—
523C2×D4×C37—21no—
524C2×D4×C37—21no—
525C2×D4×C37—21no—
526C2×D4×C37—41no—
527C2×D4×C37—41no—
528C2×D4×C37—41no—
529C2×D4×C37—41no—
530C2×D4×C37—44no—
531C2×D4×C37C2×D411yescharacteristic
532C2×D4×C37C2×D411yescharacteristic
533C2×D4×C37C2×D411yescharacteristic
534C2×D4×C37C2411yescharacteristic
535C2×D4×C37C2411yescharacteristic
536C2×D4×C37C2411yescharacteristic
537C2×D4×C37C2411yescharacteristic
538C22×C4×C37—21no—
539C22×C4×C37—21no—
540C22×C4×C37—21no—
541C22×C4×C37—21no—
542C22×C4×C37—21no—
543C22×C4×C37—21no—
544C22×C4×C37—21no—
545C22×C4×C37—21no—
546C22×C4×C37—21no—
547C22×C4×C37—21no—
548C22×C4×C37—21no—
549C22×C4×C37—21no—
550C22×C4×C37—21no—
551C22×C4×C37—21no—
552C22×C4×C37C2×D411yescharacteristic
553C22×C4×C37C2×D411yescharacteristic
554C22×C4×C37C2×D411yescharacteristic
555C22×C4×C37C2×D411yescharacteristic
556C22×C4×C37C2×D411yescharacteristic
557C22×C4×C37C2×D411yescharacteristic
558C22×C4×C37C2411yescharacteristic
559C22×C4×C37C2411yescharacteristic
560C22×C4×C37C2411yescharacteristic
561Q16×C37—22no—
562Q16×C37—22no—
563Q16×C37—22no—
564Q16×C37—41no—
565Q16×C37—41no—
566Q16×C37—41no—
567Q16×C37—41no—
568Q16×C37—41no—
569Q16×C37—41no—
570SD16×C37—22no—
571SD16×C37—22no—
572SD16×C37—22no—
573SD16×C37—41no—
574SD16×C37—41no—
575SD16×C37—41no—
576SD16×C37—41no—
577SD16×C37—41no—
578SD16×C37—41no—
579SD16×C37—41no—
580SD16×C37—41no—
581SD16×C37—41no—
582D8×C37—41no—
583D8×C37—41no—
584D8×C37—41no—
585M16×C37—41no—
586M16×C37—41no—
587M16×C37—41no—
588M16×C37—41no—
589C2×C8×C37—41no—
590C2×C8×C37—41no—
591C2×C8×C37C2411yescharacteristic
592C2×C8×C37C2411yescharacteristic
593C2×C8×C37C2411yescharacteristic
594C2×C8×C37C2411yescharacteristic
595C2×C8×C37C2411yescharacteristic
596C2×C8×C37C2411yescharacteristic
597C2×C8×C37C2411yescharacteristic
598C2×C8×C37C2411yescharacteristic
599C4⋊C4×C37—21no—
600C4⋊C4×C37—21no—
601C4⋊C4×C37—21no—
602C4⋊C4×C37—21no—
603C4⋊C4×C37—21no—
604C4⋊C4×C37—21no—
605C4⋊C4×C37—21no—
606C4⋊C4×C37—21no—
607C4⋊C4×C37—21no—
608C4⋊C4×C37—21no—
609C4⋊C4×C37—21no—
610C4⋊C4×C37—21no—
611C4⋊C4×C37—21no—
612C4⋊C4×C37—21no—
613C4⋊C4×C37—21no—
614C4⋊C4×C37—21no—
615C4⋊C4×C37—21no—
616C4⋊C4×C37—21no—
617C4⋊C4×C37—21no—
618C4⋊C4×C37—21no—
619C4⋊C4×C37—21no—
620C4⋊C4×C37—21no—
621C4⋊C4×C37—21no—
622C4⋊C4×C37—21no—
623C4⋊C4×C37—21no—
624C4⋊C4×C37—21no—
625C4⋊C4×C37—21no—
626C4⋊C4×C37—21no—
627C4⋊C4×C37—21no—
628C4⋊C4×C37—21no—
629C4⋊C4×C37—21no—
630C4⋊C4×C37C2×D411yescharacteristic
631C4⋊C4×C37C2×D411yescharacteristic
632C4⋊C4×C37C2×D411yescharacteristic
633C4⋊C4×C37C2×D411yescharacteristic
634C4⋊C4×C37C2×D411yescharacteristic
635C4⋊C4×C37C2×D411yescharacteristic
636C4⋊C4×C37C2411yescharacteristic
637C4⋊C4×C37C2411yescharacteristic
638C4⋊C4×C37C2411yescharacteristic
639C4⋊C4×C37C2411yescharacteristic
640C4⋊C4×C37C2411yescharacteristic
641C4⋊C4×C37C2411yescharacteristic
642C22⋊C4×C37—21no—
643C22⋊C4×C37—21no—
644C22⋊C4×C37—21no—
645C22⋊C4×C37—21no—
646C22⋊C4×C37—21no—
647C22⋊C4×C37—21no—
648C22⋊C4×C37—21no—
649C22⋊C4×C37—21no—
650C22⋊C4×C37—21no—
651C22⋊C4×C37—21no—
652C22⋊C4×C37—21no—
653C22⋊C4×C37—21no—
654C22⋊C4×C37—21no—
655C22⋊C4×C37—21no—
656C22⋊C4×C37—21no—
657C22⋊C4×C37—21no—
658C22⋊C4×C37—21no—
659C22⋊C4×C37—21no—
660C22⋊C4×C37—21no—
661C22⋊C4×C37—21no—
662C22⋊C4×C37—21no—
663C22⋊C4×C37—21no—
664C22⋊C4×C37—21no—
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×C37C2×D411yescharacteristic
679C22⋊C4×C37C2×D411yescharacteristic
680C22⋊C4×C37C2×D411yescharacteristic
681C22⋊C4×C37C2×D411yescharacteristic
682C22⋊C4×C37C2×D411yescharacteristic
683C22⋊C4×C37C2×D411yescharacteristic
684C42×C37—21no—
685C42×C37—21no—
686C42×C37—21no—
687C42×C37—21no—
688C42×C37—21no—
689C42×C37—21no—
690C42×C37—21no—
691C42×C37—21no—
692C42×C37—21no—
693C42×C37—21no—
694C42×C37—21no—
695C42×C37—21no—
696C42×C37C2×D411yescharacteristic
697C42×C37C2×D411yescharacteristic
698C42×C37C2×D411yescharacteristic
699C42×C37C2×D411yescharacteristic
700C42×C37C2×D411yescharacteristic
701C42×C37C2×D411yescharacteristic
702C42×C37C2411yescharacteristic
703C42×C37C2411yescharacteristic
704C42×C37C2411yescharacteristic
705C42×C37C2411yescharacteristic
706C23×C37—21no—
707C23×C37—21no—
708C23×C37—21no—
709C23×C37—21no—
710C23×C37—42no—
711C23×C37—42no—
712C23×C37—81no—
713C23×C37—81no—
714C23×C37—81no—
715C23×C37—81no—
716C23×C37C22×D411yescharacteristic
717C23×C37C22×D411yescharacteristic
718C23×C37C22×D411yescharacteristic
719Q8×C37—21no—
720Q8×C37—21no—
721Q8×C37—21no—
722Q8×C37—21no—
723Q8×C37—21no—
724Q8×C37—21no—
725Q8×C37—21no—
726Q8×C37—21no—
727Q8×C37—21no—
728Q8×C37—21no—
729Q8×C37—21no—
730Q8×C37—41no—
731Q8×C37—42no—
732Q8×C37—42no—
733Q8×C37—42no—
734Q8×C37—81no—
735Q8×C37—81no—
736Q8×C37H(5,𝔽2)12yes—
737D4×C37—22no—
738D4×C37—22no—
739D4×C37—21no—
740D4×C37—21no—
741D4×C37—21no—
742D4×C37—21no—
743D4×C37—21no—
744D4×C37—21no—
745D4×C37—21no—
746D4×C37—21no—
747D4×C37—41no—
748D4×C37—42no—
749D4×C37—42no—
750D4×C37—42no—
751D4×C37—42no—
752D4×C37—42no—
753D4×C37—42no—
754D4×C37—81no—
755D4×C37—81no—
756D4×C37—81no—
757D4×C37—81no—
758D4×C37—81no—
759D4×C37—81no—
760C2×C4×C37—22no—
761C2×C4×C37—21no—
762C2×C4×C37—21no—
763C2×C4×C37—21no—
764C2×C4×C37—21no—
765C2×C4×C37—21no—
766C2×C4×C37—21no—
767C2×C4×C37—21no—
768C2×C4×C37—21no—
769C2×C4×C37—21no—
770C2×C4×C37—21no—
771C2×C4×C37—21no—
772C2×C4×C37—21no—
773C2×C4×C37—21no—
774C2×C4×C37—21no—
775C2×C4×C37—21no—
776C2×C4×C37—21no—
777C2×C4×C37—21no—
778C2×C4×C37—21no—
779C2×C4×C37—41no—
780C2×C4×C37—41no—
781C2×C4×C37—41no—
782C2×C4×C37—41no—
783C2×C4×C37—41no—
784C2×C4×C37—42no—
785C2×C4×C37—42no—
786C2×C4×C37—42no—
787C2×C4×C37—42no—
788C2×C4×C37—42no—
789C2×C4×C37—42no—
790C2×C4×C37—42no—
791C2×C4×C37—42no—
792C2×C4×C37—81no—
793C2×C4×C37—81no—
794C2×C4×C37—81no—
795C2×C4×C37—81no—
796C2×C4×C37—81no—
797C2×C4×C37—81no—
798C2×C4×C37C22×D411yescharacteristic
799C2×C4×C37C22×D411yescharacteristic
800C2×C4×C37C22×D411yescharacteristic
801C2×C4×C37C22×D411yescharacteristic
802C2×C4×C37C22×D411yescharacteristic
803C2×C4×C37C22×D411yescharacteristic
804C2×C4×C37C22×D411yescharacteristic
805C2×C4×C37C22×D411yescharacteristic
806C2×C4×C37C22×D411yescharacteristic
807C2×C4×C37C22×D411yescharacteristic
808C2×C4×C37C22×D411yescharacteristic
809C2×C4×C37C2511yescharacteristic
810C8×C37—21no—
811C8×C37—21no—
812C8×C37—21no—
813C8×C37—21no—
814C8×C37—21no—
815C8×C37—21no—
816C8×C37—21no—
817C8×C37—21no—
818#61972C3711yesmaximal, characteristic, direct product factor, Sylow
819C22×C37—21no—
820C22×C37—21no—
821C22×C37—21no—
822C22×C37—21no—
823C22×C37—21no—
824C22×C37—21no—
825C22×C37—21no—
826C22×C37—21no—
827C22×C37—41no—
828C22×C37—41no—
829C22×C37—41no—
830C22×C37—41no—
831C22×C37—41no—
832C22×C37—41no—
833C22×C37—41no—
834C22×C37—41no—
835C22×C37—41no—
836C22×C37—41no—
837C22×C37—41no—
838C22×C37—41no—
839C22×C37—162no—
840C22×C37—162no—
841C22×C37#57512yes—
842C22×C37C23×D411yescharacteristic
843C4×C37—21no—
844C4×C37—21no—
845C4×C37—21no—
846C4×C37—21no—
847C4×C37—21no—
848C4×C37—21no—
849C4×C37—21no—
850C4×C37—22no—
851C4×C37—21no—
852C4×C37—21no—
853C4×C37—21no—
854C4×C37—21no—
855C4×C37—41no—
856C4×C37—41no—
857C4×C37—41no—
858C4×C37—41no—
859C4×C37—41no—
860C4×C37—41no—
861C4×C37—41no—
862C4×C37—41no—
863C4×C37—41no—
864C4×C37—41no—
865C4×C37—41no—
866C4×C37C2×H(5,𝔽2)11yescharacteristic
867C4×C37#58511yescharacteristic
868#3514C2×C3711yescharacteristic, complemented
869#3482C2×C3711yescharacteristic, complemented
870#3402C2×C3711yescharacteristic, complemented
871#3401C2×C3711yescharacteristic, complemented
872#3377C2×C3711yescharacteristic, complemented
873#3371C2×C3711yescharacteristic, complemented
874#3327C2×C3711yescharacteristic, complemented
875#3323C2×C3711yescharacteristic, complemented
876#3312C2×C3711yescharacteristic, complemented
877#3310C2×C3711yescharacteristic, complemented
878#3308C2×C3711yescharacteristic, complemented
879#3306C2×C3711yescharacteristic, complemented
880#3277C2×C3711yescharacteristic, complemented
881#3275C2×C3711yescharacteristic, complemented
882#3270C2×C3711yescharacteristic, complemented
883#3270C2×C3711yescharacteristic, complemented
884#3266C2×C3711yescharacteristic, complemented
885#3265C2×C3711yescharacteristic, complemented
886#3256C2×C3711yescharacteristic, complemented
887#3252C2×C3711yescharacteristic, complemented
888#3250C2×C3711yescharacteristic, complemented
889#3219C2×C3711yescharacteristic, complemented
890#3215C2×C3711yescharacteristic, complemented
891#3211C2×C3711yescharacteristic, complemented
892#3117C2×C3711yescharacteristic, complemented
893#3111C2×C3711yescharacteristic, complemented
894#3108C2×C3711yescharacteristic, complemented
895#3040C2×C3711yescharacteristic, complemented
896#3037C2×C3711yescharacteristic, complemented
897C2×#464C2×C3711yescharacteristic, complemented
898#2989C2×C3711yescharacteristic, complemented
899C2×C37—22no—
900C2×C37—41no—
901C2×C37—41no—
902C2×C37—81no—
903C2×C37—81no—
904C2×C37—81no—
905C2×C37—81no—
906C2×C37#348811yescharacteristic
907C2×C37C2×#57511yescharacteristic
908C2×C37#358611yescharacteristic
909C2×#137C22×C3711yescharacteristic, complemented
910C2×#137C22×C3711yescharacteristic, complemented
911C2×#137C22×C3711yescharacteristic, complemented
912C2×AGL(1,ℤ/8)C22×C3711yescharacteristic
913C22×Q16C22×C3711yescharacteristic, complemented
914C22×SD16C22×C3711yescharacteristic
915#559C22×C3711yescharacteristic
916#557C22×C3711yescharacteristic, complemented
917#556—21no—
918#556C22×C3711yescharacteristic
919#556C22×C3711yescharacteristic, complemented
920#555—21no—
921#552—21no—
922#552—21no—
923#552C22×C3711yescharacteristic
924#552C22×C3711yescharacteristic, complemented
925#551—21no—
926#551—21no—
927D4×Q8C22×C3711yescharacteristic
928D4×Q8C22×C3711yescharacteristic, complemented
929#548C22×C3711yescharacteristic
930#548C22×C3711yescharacteristic
931#548C22×C3711yescharacteristic
932#548C22×C3711yescharacteristic, complemented
933#547—21no—
934#547C22×C3711yescharacteristic, complemented
935#546—21no—
936#546C22×C3711yescharacteristic
937#546C22×C3711yescharacteristic
938D42C22×C3711yescharacteristic
939#542—21no—
940#538—21no—
941#538—21no—
942#533—21no—
943#533C22×C3711yescharacteristic, complemented
944#532C22×C3711yescharacteristic
945#529—21no—
946#529—21no—
947#529C22×C3711yescharacteristic
948#529C22×C3711yescharacteristic
949#529C22×C3711yescharacteristic
950#529C22×C3711yescharacteristic, complemented
951#529C22×C3711yescharacteristic, complemented
952C2×#124C22×C3711yescharacteristic
953C2×#124C22×C3711yescharacteristic
954#518—21no—
955C4×#41—21no—
956C4×#41C22×C3711yescharacteristic
957C4×#41C22×C3711yescharacteristic, complemented
958C2×C4×Q8C22×C3711yescharacteristic, complemented
959C2×C4×Q8C22×C3711yescharacteristic, complemented
960#497C22×C3711yescharacteristic
961#497C22×C3711yescharacteristic, complemented
962#497C22×C3711yescharacteristic, complemented
963#496C22×C3711yescharacteristic
964#495C22×C3711yescharacteristic
965#495C22×C3711yescharacteristic, complemented
966#491C22×C3711yescharacteristic, complemented
967#490C22×C3711yescharacteristic
968#489C22×C3711yescharacteristic
969#489C22×C3711yescharacteristic, complemented
970#488C22×C3711yescharacteristic
971#488C22×C3711yescharacteristic, complemented
972#485C22×C3711yescharacteristic, complemented
973#484C22×C3711yescharacteristic, complemented
974#483C22×C3711yescharacteristic, complemented
975#482C22×C3711yescharacteristic
976#481C22×C3711yescharacteristic
977#480C22×C3711yescharacteristic
978#479C22×C3711yescharacteristic, complemented
979#479C22×C3711yescharacteristic, complemented
980#479C22×C3711yescharacteristic, complemented
981#479C22×C3711yescharacteristic, complemented
982#479C22×C3711yescharacteristic, complemented
983#478C22×C3711yescharacteristic
984#478C22×C3711yescharacteristic, complemented
985#478C22×C3711yescharacteristic, complemented
986#477C22×C3711yescharacteristic, complemented
987#476C22×C3711yescharacteristic, complemented
988#470C22×C3711yescharacteristic, complemented
989#470C22×C3711yescharacteristic, complemented
990#470C22×C3711yescharacteristic, complemented
991#469C22×C3711yescharacteristic
992#468C22×C3711yescharacteristic
993#468C22×C3711yescharacteristic
994#468C22×C3711yescharacteristic
995#468C22×C3711yescharacteristic, complemented
996#467C22×C3711yescharacteristic, complemented
997#466C22×C3711yescharacteristic
998#465C22×C3711yescharacteristic
999#465C22×C3711yescharacteristic, complemented
1000#464C22×C3711yescharacteristic
1001#464C22×C3711yescharacteristic
1002#464C22×C3711yescharacteristic
1003#464C22×C3711yescharacteristic
1004#464C22×C3711yescharacteristic
1005#464C22×C3711yescharacteristic
1006#464C22×C3711yescharacteristic, complemented
1007#464C22×C3711yescharacteristic, complemented
1008#464C22×C3711yescharacteristic, complemented
1009#464C22×C3711yescharacteristic, complemented
1010#464C22×C3711yescharacteristic, complemented
1011#464C22×C3711yescharacteristic, complemented
1012#464C22×C3711yescharacteristic, complemented
1013#464C22×C3711yescharacteristic, complemented
1014#464C22×C3711yescharacteristic, complemented
1015#464C22×C3711yescharacteristic, complemented
1016#464C22×C3711yescharacteristic, complemented
1017#463C22×C3711yescharacteristic
1018#463C22×C3711yescharacteristic
1019#463C22×C3711yescharacteristic
1020#463C22×C3711yescharacteristic, complemented
1021#463C22×C3711yescharacteristic, complemented
1022#463C22×C3711yescharacteristic, complemented
1023#463C22×C3711yescharacteristic, complemented
1024#462C22×C3711yescharacteristic, complemented
1025#462C22×C3711yescharacteristic, complemented
1026#462C22×C3711yescharacteristic, complemented
1027#461C22×C3711yescharacteristic, complemented
1028#460C22×C3711yescharacteristic
1029#460C22×C3711yescharacteristic
1030#452C22×C3711yescharacteristic, complemented
1031#452C22×C3711yescharacteristic, complemented
1032#452C22×C3711yescharacteristic, complemented
1033#451C22×C3711yescharacteristic, complemented
1034#451C22×C3711yescharacteristic, complemented
1035#451C22×C3711yescharacteristic, complemented
1036#451C22×C3711yescharacteristic, complemented
1037#451C22×C3711yescharacteristic, complemented
1038#450C22×C3711yescharacteristic
1039#450C22×C3711yescharacteristic
1040#450C22×C3711yescharacteristic
1041#449C22×C3711yescharacteristic
1042#449C22×C3711yescharacteristic, complemented
1043#449C22×C3711yescharacteristic, complemented
1044#448C22×C3711yescharacteristic
1045#448C22×C3711yescharacteristic
1046#448C22×C3711yescharacteristic, complemented
1047#447C22×C3711yescharacteristic
1048#446C22×C3711yescharacteristic, complemented
1049#446C22×C3711yescharacteristic, complemented
1050#442C22×C3711yescharacteristic, complemented
1051#441C22×C3711yescharacteristic, complemented
1052#441C22×C3711yescharacteristic, complemented
1053#441C22×C3711yescharacteristic, complemented
1054#440C22×C3711yescharacteristic
1055#440C22×C3711yescharacteristic
1056#440C22×C3711yescharacteristic, complemented
1057#440C22×C3711yescharacteristic, complemented
1058C4×Q16C22×C3711yescharacteristic, complemented
1059C4×Q16C22×C3711yescharacteristic, complemented
1060C4×SD16C22×C3711yescharacteristic, complemented
1061C4×SD16C22×C3711yescharacteristic, complemented
1062#436C22×C3711yescharacteristic, complemented
1063#436C22×C3711yescharacteristic, complemented
1064#435C22×C3711yescharacteristic
1065#435C22×C3711yescharacteristic
1066#435C22×C3711yescharacteristic, complemented
1067#435C22×C3711yescharacteristic, complemented
1068#432C22×C3711yescharacteristic, complemented
1069#432C22×C3711yescharacteristic, complemented
1070#431C22×C3711yescharacteristic, complemented
1071#423C22×C3711yescharacteristic, complemented
1072#423C22×C3711yescharacteristic, complemented
1073C2×C4⋊C8C22×C3711yescharacteristic, complemented
1074#419C22×C3711yescharacteristic, complemented
1075#418C22×C3711yescharacteristic
1076#417C22×C3711yescharacteristic, complemented
1077#417C22×C3711yescharacteristic, complemented
1078C2×#103C22×C3711yescharacteristic, complemented
1079C2×#102C22×C3711yescharacteristic
1080C37#6197211yescharacteristic, direct product factor, Sylow
1081C2×#41—21no—
1082C2×#41D4×C3711yescharacteristic
1083C2×#41C23×C3711yescharacteristic
1084C2×#41C23×C3711yescharacteristic
1085C2×#41C23×C3711yescharacteristic
1086C22×Q8C23×C3711yescharacteristic
1087C22×Q8C23×C3711yescharacteristic
1088C22×Q8C23×C3711yescharacteristic
1089C22×Q8C23×C3711yescharacteristic
1090C22×D4—21no—
1091C22×D4C23×C3711yescharacteristic
1092C22×D4C23×C3711yescharacteristic
1093#137—42no—
1094#137—42no—
1095#137—42no—
1096AGL(1,ℤ/8)—42no—
1097C2×Q16—42no—
1098C2×Q16C23×C3711yescharacteristic
1099C2×Q16C23×C3711yescharacteristic
1100C2×Q16C23×C3711yescharacteristic
1101C2×Q16C23×C3711yescharacteristic
1102C2×Q16C23×C3711yescharacteristic
1103C2×Q16C23×C3711yescharacteristic
1104C2×Q16C23×C3711yescharacteristic
1105C2×Q16C23×C3711yescharacteristic
1106C2×Q16C23×C3711yescharacteristic
1107C2×SD16—42no—
1108C2×SD16C23×C3711yescharacteristic
1109C2×SD16C23×C3711yescharacteristic
1110C2×SD16C23×C3711yescharacteristic
1111C2×SD16C23×C3711yescharacteristic
1112C2×SD16C23×C3711yescharacteristic
1113C2×SD16C23×C3711yescharacteristic
1114C2×SD16C23×C3711yescharacteristic
1115C2×SD16C23×C3711yescharacteristic
1116C2×SD16C23×C3711yescharacteristic
1117C2×SD16C23×C3711yescharacteristic
1118C2×SD16C23×C3711yescharacteristic
1119C2×SD16C23×C3711yescharacteristic
1120C2×D8C23×C3711yescharacteristic
1121C2×D8C23×C3711yescharacteristic
1122C2×D8C23×C3711yescharacteristic
1123C2×M16C23×C3711yescharacteristic
1124C2×M16C23×C3711yescharacteristic
1125C2×M16C23×C3711yescharacteristic
1126C2×M16C23×C3711yescharacteristic
1127C22×C8C23×C3711yescharacteristic
1128C22×C8C23×C3711yescharacteristic
1129C4⋊Q8—21no—
1130C4⋊Q8—21no—
1131C4⋊Q8—21no—
1132C4⋊Q8C23×C3711yescharacteristic
1133C4⋊Q8C23×C3711yescharacteristic
1134C4⋊Q8C23×C3711yescharacteristic
1135#127C23×C3711yescharacteristic
1136#126—21no—
1137#126—21no—
1138#126—21no—
1139#126—21no—
1140#126—21no—
1141#126—21no—
1142#126—21no—
1143#126—21no—
1144#126—21no—
1145#126—21no—
1146#126—21no—
1147#125—21no—
1148#125—21no—
1149#125—21no—
1150#125—21no—
1151#125—21no—
1152#125C23×C3711yescharacteristic
1153#125C23×C3711yescharacteristic
1154#125C23×C3711yescharacteristic
1155#124—21no—
1156#124—21no—
1157#124—21no—
1158#124—21no—
1159#124—21no—
1160#124—21no—
1161#124—21no—
1162#124—21no—
1163#124—21no—
1164#124C23×C3711yescharacteristic
1165#124C23×C3711yescharacteristic
1166#124C23×C3711yescharacteristic
1167#124C23×C3711yescharacteristic
1168#124C23×C3711yescharacteristic
1169#124C23×C3711yescharacteristic
1170#124C23×C3711yescharacteristic
1171#124C23×C3711yescharacteristic
1172#124C23×C3711yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—21no—
1176#123—21no—
1177#123—21no—
1178#123—21no—
1179#123—21no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—21no—
1184#123—21no—
1185#123—21no—
1186C22⋊Q8—21no—
1187C22⋊Q8—21no—
1188C22⋊Q8—21no—
1189C22⋊Q8—21no—
1190C22⋊Q8—21no—
1191C22⋊Q8—21no—
1192C22⋊Q8—21no—
1193C22⋊Q8—21no—
1194C22⋊Q8—21no—
1195C22⋊Q8—21no—
1196C22⋊Q8—21no—
1197C22⋊Q8—21no—
1198C22⋊Q8C23×C3711yescharacteristic
1199C22⋊Q8C23×C3711yescharacteristic
1200C22⋊Q8C23×C3711yescharacteristic
1201C22⋊Q8C23×C3711yescharacteristic
1202C22⋊Q8C23×C3711yescharacteristic
1203C22⋊Q8C23×C3711yescharacteristic
1204C22⋊Q8C23×C3711yescharacteristic
1205#121—21no—
1206#121—21no—
1207#121—21no—
1208#121—21no—
1209#121—21no—
1210#121—21no—
1211#121—21no—
1212#121—21no—
1213#121—21no—
1214#121C23×C3711yescharacteristic
1215#121C23×C3711yescharacteristic
1216#121C23×C3711yescharacteristic
1217#121C23×C3711yescharacteristic
1218#121C23×C3711yescharacteristic
1219#120—21no—
1220#120—21no—
1221#120—21no—
1222#120—21no—
1223C4×Q8—21no—
1224C4×Q8—21no—
1225C4×Q8—21no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—21no—
1229C4×Q8D4×C3711yescharacteristic
1230C4×Q8C23×C3711yescharacteristic
1231C4×Q8C23×C3711yescharacteristic
1232C4×Q8C23×C3711yescharacteristic
1233C4×Q8C23×C3711yescharacteristic
1234C4×Q8C23×C3711yescharacteristic
1235C4×Q8C23×C3711yescharacteristic
1236C4×Q8C23×C3711yescharacteristic
1237C4×Q8C23×C3711yescharacteristic
1238C4×Q8C23×C3711yescharacteristic
1239C4×Q8C23×C3711yescharacteristic
1240C4×Q8C23×C3711yescharacteristic
1241C4×Q8C23×C3711yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—21no—
1245C4×D4—21no—
1246C4×D4—21no—
1247C4×D4—21no—
1248C4×D4—21no—
1249C4×D4—21no—
1250C4×D4—21no—
1251C4×D4—21no—
1252C4×D4—21no—
1253C4×D4—21no—
1254C4×D4—21no—
1255C4×D4—21no—
1256C4×D4—21no—
1257C4×D4—21no—
1258C4×D4D4×C3711yescharacteristic
1259C4×D4D4×C3711yescharacteristic
1260C4×D4D4×C3711yescharacteristic
1261C4×D4C23×C3711yescharacteristic
1262C4×D4C23×C3711yescharacteristic
1263C4×D4C23×C3711yescharacteristic
1264C4×D4C23×C3711yescharacteristic
1265C4×D4C23×C3711yescharacteristic
1266C4×D4C23×C3711yescharacteristic
1267C4×D4C23×C3711yescharacteristic
1268C4×D4C23×C3711yescharacteristic
1269#117—21no—
1270#117—21no—
1271#117—21no—
1272#117—21no—
1273#117—21no—
1274#117—21no—
1275#117—21no—
1276#117—21no—
1277#117—21no—
1278#117—21no—
1279#117—21no—
1280#117D4×C3711yescharacteristic
1281#117D4×C3711yescharacteristic
1282#117D4×C3711yescharacteristic
1283#117C23×C3711yescharacteristic
1284C2×C4⋊C4—21no—
1285C2×C4⋊C4—21no—
1286C2×C4⋊C4C23×C3711yescharacteristic
1287C2×C4⋊C4C23×C3711yescharacteristic
1288C2×C22⋊C4—21no—
1289C2×C22⋊C4—21no—
1290C2×C22⋊C4—21no—
1291C2×C22⋊C4—21no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C42—21no—
1295C2×C42—21no—
1296C2×C42—21no—
1297C2×C42C23×C3711yescharacteristic
1298C2×C42C23×C3711yescharacteristic
1299C2×C42C23×C3711yescharacteristic
1300#107C23×C3711yescharacteristic
1301#107C23×C3711yescharacteristic
1302#107C23×C3711yescharacteristic
1303#107C23×C3711yescharacteristic
1304#106C23×C3711yescharacteristic
1305#106C23×C3711yescharacteristic
1306#106C23×C3711yescharacteristic
1307#106C23×C3711yescharacteristic
1308C4⋊C8C23×C3711yescharacteristic
1309C4⋊C8C23×C3711yescharacteristic
1310C4⋊C8C23×C3711yescharacteristic
1311C4⋊C8C23×C3711yescharacteristic
1312C4⋊C8C23×C3711yescharacteristic
1313C4⋊C8C23×C3711yescharacteristic
1314C4⋊C8C23×C3711yescharacteristic
1315C4⋊C8C23×C3711yescharacteristic
1316C4⋊C8C23×C3711yescharacteristic
1317C4⋊C8C23×C3711yescharacteristic
1318#103C23×C3711yescharacteristic
1319#103C23×C3711yescharacteristic
1320#103C23×C3711yescharacteristic
1321#103C23×C3711yescharacteristic
1322#103C23×C3711yescharacteristic
1323#103C23×C3711yescharacteristic
1324#103C23×C3711yescharacteristic
1325#103C23×C3711yescharacteristic
1326#103C23×C3711yescharacteristic
1327#103C23×C3711yescharacteristic
1328#103C23×C3711yescharacteristic
1329#103C23×C3711yescharacteristic
1330#103C23×C3711yescharacteristic
1331#103C23×C3711yescharacteristic
1332#103C23×C3711yescharacteristic
1333#103C23×C3711yescharacteristic
1334#103C23×C3711yescharacteristic
1335#103C23×C3711yescharacteristic
1336#102C23×C3711yescharacteristic
1337#102C23×C3711yescharacteristic
1338#102C23×C3711yescharacteristic
1339#102C23×C3711yescharacteristic
1340#102C23×C3711yescharacteristic
1341#102C23×C3711yescharacteristic
1342#102C23×C3711yescharacteristic
1343#102C23×C3711yescharacteristic
1344#102C23×C3711yescharacteristic
1345#102C23×C3711yescharacteristic
1346#102C23×C3711yescharacteristic
1347#102C23×C3711yescharacteristic
1348#102C23×C3711yescharacteristic
1349#102C23×C3711yescharacteristic
1350C22⋊C8C23×C3711yescharacteristic
1351C22⋊C8C23×C3711yescharacteristic
1352C22⋊C8C23×C3711yescharacteristic
1353C22⋊C8C23×C3711yescharacteristic
1354C22⋊C8C23×C3711yescharacteristic
1355C22⋊C8C23×C3711yescharacteristic
1356#97C23×C3711yescharacteristic
1357#97C23×C3711yescharacteristic
1358#97C23×C3711yescharacteristic
1359#97C23×C3711yescharacteristic
1360C4×C8C23×C3711yescharacteristic
1361C4×C8C23×C3711yescharacteristic
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—42no—
1366#41—41no—
1367#41—41no—
1368#41—41no—
1369#41—41no—
1370#41—41no—
1371#41—44no—
1372C2×Q8—21no—
1373C2×Q8—21no—
1374C2×Q8—21no—
1375C2×Q8—21no—
1376C2×Q8—21no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—41no—
1382C2×Q8—41no—
1383C2×Q8—41no—
1384C2×Q8—41no—
1385C2×Q8C2×D4×C3711yescharacteristic
1386C2×Q8C24×C3711yescharacteristic
1387C2×Q8C24×C3711yescharacteristic
1388C2×Q8C24×C3711yescharacteristic
1389C2×Q8C24×C3711yescharacteristic
1390C2×Q8C24×C3711yescharacteristic
1391C2×Q8C24×C3711yescharacteristic
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—21no—
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—44no—
1409C2×D4C2×D4×C3711yescharacteristic
1410C2×D4C2×D4×C3711yescharacteristic
1411C2×D4C2×D4×C3711yescharacteristic
1412C2×D4C24×C3711yescharacteristic
1413C2×D4C24×C3711yescharacteristic
1414C2×D4C24×C3711yescharacteristic
1415C2×D4C24×C3711yescharacteristic
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4C2×D4×C3711yescharacteristic
1431C22×C4C2×D4×C3711yescharacteristic
1432C22×C4C2×D4×C3711yescharacteristic
1433C22×C4C2×D4×C3711yescharacteristic
1434C22×C4C2×D4×C3711yescharacteristic
1435C22×C4C2×D4×C3711yescharacteristic
1436C22×C4C24×C3711yescharacteristic
1437C22×C4C24×C3711yescharacteristic
1438C22×C4C24×C3711yescharacteristic
1439Q16—22no—
1440Q16—22no—
1441Q16—22no—
1442Q16—41no—
1443Q16—41no—
1444Q16—41no—
1445Q16—41no—
1446Q16—41no—
1447Q16—41no—
1448SD16—22no—
1449SD16—22no—
1450SD16—22no—
1451SD16—41no—
1452SD16—41no—
1453SD16—41no—
1454SD16—41no—
1455SD16—41no—
1456SD16—41no—
1457SD16—41no—
1458SD16—41no—
1459SD16—41no—
1460D8—41no—
1461D8—41no—
1462D8—41no—
1463M16—41no—
1464M16—41no—
1465M16—41no—
1466M16—41no—
1467C2×C8—41no—
1468C2×C8—41no—
1469C2×C8C24×C3711yescharacteristic
1470C2×C8C24×C3711yescharacteristic
1471C2×C8C24×C3711yescharacteristic
1472C2×C8C24×C3711yescharacteristic
1473C2×C8C24×C3711yescharacteristic
1474C2×C8C24×C3711yescharacteristic
1475C2×C8C24×C3711yescharacteristic
1476C2×C8C24×C3711yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—21no—
1485C4⋊C4—21no—
1486C4⋊C4—21no—
1487C4⋊C4—21no—
1488C4⋊C4—21no—
1489C4⋊C4—21no—
1490C4⋊C4—21no—
1491C4⋊C4—21no—
1492C4⋊C4—21no—
1493C4⋊C4—21no—
1494C4⋊C4—21no—
1495C4⋊C4—21no—
1496C4⋊C4—21no—
1497C4⋊C4—21no—
1498C4⋊C4—21no—
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4C2×D4×C3711yescharacteristic
1509C4⋊C4C2×D4×C3711yescharacteristic
1510C4⋊C4C2×D4×C3711yescharacteristic
1511C4⋊C4C2×D4×C3711yescharacteristic
1512C4⋊C4C2×D4×C3711yescharacteristic
1513C4⋊C4C2×D4×C3711yescharacteristic
1514C4⋊C4C24×C3711yescharacteristic
1515C4⋊C4C24×C3711yescharacteristic
1516C4⋊C4C24×C3711yescharacteristic
1517C4⋊C4C24×C3711yescharacteristic
1518C4⋊C4C24×C3711yescharacteristic
1519C4⋊C4C24×C3711yescharacteristic
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊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—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4C2×D4×C3711yescharacteristic
1557C22⋊C4C2×D4×C3711yescharacteristic
1558C22⋊C4C2×D4×C3711yescharacteristic
1559C22⋊C4C2×D4×C3711yescharacteristic
1560C22⋊C4C2×D4×C3711yescharacteristic
1561C22⋊C4C2×D4×C3711yescharacteristic
1562C42—21no—
1563C42—21no—
1564C42—21no—
1565C42—21no—
1566C42—21no—
1567C42—21no—
1568C42—21no—
1569C42—21no—
1570C42—21no—
1571C42—21no—
1572C42—21no—
1573C42—21no—
1574C42C2×D4×C3711yescharacteristic
1575C42C2×D4×C3711yescharacteristic
1576C42C2×D4×C3711yescharacteristic
1577C42C2×D4×C3711yescharacteristic
1578C42C2×D4×C3711yescharacteristic
1579C42C2×D4×C3711yescharacteristic
1580C42C24×C3711yescharacteristic
1581C42C24×C3711yescharacteristic
1582C42C24×C3711yescharacteristic
1583C42C24×C3711yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—81no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23C22×D4×C3711yescharacteristic
1595C23C22×D4×C3711yescharacteristic
1596C23C22×D4×C3711yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—21no—
1602Q8—21no—
1603Q8—21no—
1604Q8—21no—
1605Q8—21no—
1606Q8—21no—
1607Q8—21no—
1608Q8—41no—
1609Q8—42no—
1610Q8—42no—
1611Q8—42no—
1612Q8—81no—
1613Q8—81no—
1614Q8H(5,𝔽2)×C3712yes—
1615D4—22no—
1616D4—22no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—41no—
1626D4—42no—
1627D4—42no—
1628D4—42no—
1629D4—42no—
1630D4—42no—
1631D4—42no—
1632D4—81no—
1633D4—81no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—41no—
1658C2×C4—41no—
1659C2×C4—41no—
1660C2×C4—41no—
1661C2×C4—41no—
1662C2×C4—42no—
1663C2×C4—42no—
1664C2×C4—42no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—81no—
1671C2×C4—81no—
1672C2×C4—81no—
1673C2×C4—81no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4C22×D4×C3711yescharacteristic
1677C2×C4C22×D4×C3711yescharacteristic
1678C2×C4C22×D4×C3711yescharacteristic
1679C2×C4C22×D4×C3711yescharacteristic
1680C2×C4C22×D4×C3711yescharacteristic
1681C2×C4C22×D4×C3711yescharacteristic
1682C2×C4C22×D4×C3711yescharacteristic
1683C2×C4C22×D4×C3711yescharacteristic
1684C2×C4C22×D4×C3711yescharacteristic
1685C2×C4C22×D4×C3711yescharacteristic
1686C2×C4C22×D4×C3711yescharacteristic
1687C2×C4C25×C3711yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—21no—
1693C8—21no—
1694C8—21no—
1695C8—21no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—21no—
1702C22—21no—
1703C22—21no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—162no—
1717C22—162no—
1718C22C37×#57512yes—
1719C22C23×D4×C3711yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—22no—
1724C4—21no—
1725C4—21no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—21no—
1731C4—21no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4C2×H(5,𝔽2)×C3711yescharacteristic
1744C4C37×#58511yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—41no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—81no—
1752C2C37×#348811yescharacteristic
1753C2C2×C37×#57511yescharacteristic
1754C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C4×#41×C37 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3514C2semidirect
2. C37×#3482C2semidirect
3. C37×#3402C2semidirect
4. C37×#3401C2semidirect
5. C37×#3377C2semidirect
6. C37×#3371C2semidirect
7. C37×#3327C2semidirect
8. C37×#3323C2semidirect
9. C37×#3312C2semidirect
10. C37×#3310C2semidirect
11. C37×#3308C2semidirect
12. C37×#3306C2semidirect
13. C37×#3277C2semidirect
14. C37×#3275C2semidirect
15. C37×#3270C2semidirect
16. C37×#3270C2semidirect
17. C37×#3266C2semidirect
18. C37×#3265C2semidirect
19. C37×#3256C2semidirect
20. C37×#3252C2semidirect
21. C37×#3250C2semidirect
22. C37×#3219C2semidirect
23. C37×#3215C2semidirect
24. C37×#3211C2semidirect
25. C37×#3117C2semidirect
26. C37×#3111C2semidirect
27. C37×#3108C2semidirect
28. C37×#3040C2semidirect
29. C37×#3037C2semidirect
30. C2×C37×#464C2semidirect
31. C37×#2989C2semidirect
32. C2×#137×C37C22semidirect
33. C2×#137×C37C22semidirect
34. C2×#137×C37C22semidirect
36. C22×Q16×C37C22semidirect
39. C37×#557C22semidirect
42. C37×#556C22semidirect
47. C37×#552C22semidirect
51. D4×Q8×C37C22semidirect
55. C37×#548C22semidirect
57. C37×#547C22semidirect
66. C37×#533C22semidirect
73. C37×#529C22semidirect
74. C37×#529C22semidirect
80. C4×#41×C37C22semidirect
81. C2×C4×Q8×C37C22semidirect
82. C2×C4×Q8×C37C22semidirect
84. C37×#497C22semidirect
85. C37×#497C22semidirect
88. C37×#495C22semidirect
89. C37×#491C22semidirect
92. C37×#489C22semidirect
94. C37×#488C22semidirect
95. C37×#485C22semidirect
96. C37×#484C22semidirect
97. C37×#483C22semidirect
101. C37×#479C22semidirect
102. C37×#479C22semidirect
103. C37×#479C22semidirect
104. C37×#479C22semidirect
105. C37×#479C22semidirect
107. C37×#478C22semidirect
108. C37×#478C22semidirect
109. C37×#477C22semidirect
110. C37×#476C22semidirect
111. C37×#470C22semidirect
112. C37×#470C22semidirect
113. C37×#470C22semidirect
118. C37×#468C22semidirect
119. C37×#467C22semidirect
122. C37×#465C22semidirect
129. C37×#464C22semidirect
130. C37×#464C22semidirect
131. C37×#464C22semidirect
132. C37×#464C22semidirect
133. C37×#464C22semidirect
134. C37×#464C22semidirect
135. C37×#464C22semidirect
136. C37×#464C22semidirect
137. C37×#464C22semidirect
138. C37×#464C22semidirect
139. C37×#464C22semidirect
143. C37×#463C22semidirect
144. C37×#463C22semidirect
145. C37×#463C22semidirect
146. C37×#463C22semidirect
147. C37×#462C22semidirect
148. C37×#462C22semidirect
149. C37×#462C22semidirect
150. C37×#461C22semidirect
153. C37×#452C22semidirect
154. C37×#452C22semidirect
155. C37×#452C22semidirect
156. C37×#451C22semidirect
157. C37×#451C22semidirect
158. C37×#451C22semidirect
159. C37×#451C22semidirect
160. C37×#451C22semidirect
165. C37×#449C22semidirect
166. C37×#449C22semidirect
169. C37×#448C22semidirect
171. C37×#446C22semidirect
172. C37×#446C22semidirect
173. C37×#442C22semidirect
174. C37×#441C22semidirect
175. C37×#441C22semidirect
176. C37×#441C22semidirect
179. C37×#440C22semidirect
180. C37×#440C22semidirect
181. C4×Q16×C37C22semidirect
182. C4×Q16×C37C22semidirect
183. C4×SD16×C37C22semidirect
184. C4×SD16×C37C22semidirect
185. C37×#436C22semidirect
186. C37×#436C22semidirect
189. C37×#435C22semidirect
190. C37×#435C22semidirect
191. C37×#432C22semidirect
192. C37×#432C22semidirect
193. C37×#431C22semidirect
194. C37×#423C22semidirect
195. C37×#423C22semidirect
196. C2×C4⋊C8×C37C22semidirect
197. C37×#419C22semidirect
199. C37×#417C22semidirect
200. C37×#417C22semidirect
201. C2×#103×C37C22semidirect
818. #61972C37direct (N × H)
868. #3514C2×C37semidirect
869. #3482C2×C37semidirect
870. #3402C2×C37semidirect
871. #3401C2×C37semidirect
872. #3377C2×C37semidirect
873. #3371C2×C37semidirect
874. #3327C2×C37semidirect
875. #3323C2×C37semidirect
876. #3312C2×C37semidirect
877. #3310C2×C37semidirect
878. #3308C2×C37semidirect
879. #3306C2×C37semidirect
880. #3277C2×C37semidirect
881. #3275C2×C37semidirect
882. #3270C2×C37semidirect
883. #3270C2×C37semidirect
884. #3266C2×C37semidirect
885. #3265C2×C37semidirect
886. #3256C2×C37semidirect
887. #3252C2×C37semidirect
888. #3250C2×C37semidirect
889. #3219C2×C37semidirect
890. #3215C2×C37semidirect
891. #3211C2×C37semidirect
892. #3117C2×C37semidirect
893. #3111C2×C37semidirect
894. #3108C2×C37semidirect
895. #3040C2×C37semidirect
896. #3037C2×C37semidirect
897. C2×#464C2×C37semidirect
898. #2989C2×C37semidirect
909. C2×#137C22×C37semidirect
910. C2×#137C22×C37semidirect
911. C2×#137C22×C37semidirect
913. C22×Q16C22×C37semidirect
916. #557C22×C37semidirect
919. #556C22×C37semidirect
924. #552C22×C37semidirect
928. D4×Q8C22×C37semidirect
932. #548C22×C37semidirect
934. #547C22×C37semidirect
943. #533C22×C37semidirect
950. #529C22×C37semidirect
951. #529C22×C37semidirect
957. C4×#41C22×C37semidirect
958. C2×C4×Q8C22×C37semidirect
959. C2×C4×Q8C22×C37semidirect
961. #497C22×C37semidirect
962. #497C22×C37semidirect
965. #495C22×C37semidirect
966. #491C22×C37semidirect
969. #489C22×C37semidirect
971. #488C22×C37semidirect
972. #485C22×C37semidirect
973. #484C22×C37semidirect
974. #483C22×C37semidirect
978. #479C22×C37semidirect
979. #479C22×C37semidirect
980. #479C22×C37semidirect
981. #479C22×C37semidirect
982. #479C22×C37semidirect
984. #478C22×C37semidirect
985. #478C22×C37semidirect
986. #477C22×C37semidirect
987. #476C22×C37semidirect
988. #470C22×C37semidirect
989. #470C22×C37semidirect
990. #470C22×C37semidirect
995. #468C22×C37semidirect
996. #467C22×C37semidirect
999. #465C22×C37semidirect
1006. #464C22×C37semidirect
1007. #464C22×C37semidirect
1008. #464C22×C37semidirect
1009. #464C22×C37semidirect
1010. #464C22×C37semidirect
1011. #464C22×C37semidirect
1012. #464C22×C37semidirect
1013. #464C22×C37semidirect
1014. #464C22×C37semidirect
1015. #464C22×C37semidirect
1016. #464C22×C37semidirect
1020. #463C22×C37semidirect
1021. #463C22×C37semidirect
1022. #463C22×C37semidirect
1023. #463C22×C37semidirect
1024. #462C22×C37semidirect
1025. #462C22×C37semidirect
1026. #462C22×C37semidirect
1027. #461C22×C37semidirect
1030. #452C22×C37semidirect
1031. #452C22×C37semidirect
1032. #452C22×C37semidirect
1033. #451C22×C37semidirect
1034. #451C22×C37semidirect
1035. #451C22×C37semidirect
1036. #451C22×C37semidirect
1037. #451C22×C37semidirect
1042. #449C22×C37semidirect
1043. #449C22×C37semidirect
1046. #448C22×C37semidirect
1048. #446C22×C37semidirect
1049. #446C22×C37semidirect
1050. #442C22×C37semidirect
1051. #441C22×C37semidirect
1052. #441C22×C37semidirect
1053. #441C22×C37semidirect
1056. #440C22×C37semidirect
1057. #440C22×C37semidirect
1058. C4×Q16C22×C37semidirect
1059. C4×Q16C22×C37semidirect
1060. C4×SD16C22×C37semidirect
1061. C4×SD16C22×C37semidirect
1062. #436C22×C37semidirect
1063. #436C22×C37semidirect
1066. #435C22×C37semidirect
1067. #435C22×C37semidirect
1068. #432C22×C37semidirect
1069. #432C22×C37semidirect
1070. #431C22×C37semidirect
1071. #423C22×C37semidirect
1072. #423C22×C37semidirect
1073. C2×C4⋊C8C22×C37semidirect
1074. #419C22×C37semidirect
1076. #417C22×C37semidirect
1077. #417C22×C37semidirect
1078. C2×#103C22×C37semidirect
1080. C37#61972direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35142
C37×#34822
C37×#34022
C37×#34012
C37×#33772
C37×#33712
C37×#33272
C37×#33232
C37×#33122
C37×#33102
C37×#33082
C37×#33062
C37×#32772
C37×#32752
C37×#32702
C37×#32662
C37×#32652
C37×#32562
C37×#32522
C37×#32502
C37×#32192
C37×#32152
C37×#32112
C37×#31172
C37×#31112
C37×#31082
C37×#30402
C37×#30372
C2×C37×#4642
C37×#29892
#6197237