Finite Group Databasebeta

← C37×#61612 #22682865

Subgroups — C37×#61612 #22682865

Order 9472.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C37×#3541C211yesmaximal, characteristic, complemented
2C37×#3486C211yesmaximal, characteristic, complemented
3C37×#3328C211yesmaximal, characteristic, complemented
4C37×#3327C211yesmaximal, characteristic, complemented
5C37×#3320C211yesmaximal, characteristic, complemented
6C37×#3316C211yesmaximal, characteristic, complemented
7C37×#3313C211yesmaximal, characteristic, complemented
8C37×#3312C211yesmaximal, characteristic, complemented
9C37×#3301C211yesmaximal, characteristic, complemented
10C37×#3299C211yesmaximal, characteristic, complemented
11D4×Q16×C37C211yesmaximal, characteristic, complemented
12C37×#3285C211yesmaximal, characteristic, complemented
13C37×#3277C211yesmaximal, characteristic, complemented
14C37×#3276C211yesmaximal, characteristic, complemented
15C37×#3270C211yesmaximal, characteristic, complemented
16C37×#3270C211yesmaximal, characteristic, complemented
17C37×#3270C211yesmaximal, characteristic, complemented
18C37×#3269C211yesmaximal, characteristic, complemented
19C37×#3225C211yesmaximal, characteristic, complemented
20C37×#3223C211yesmaximal, characteristic, complemented
21C37×#3202C211yesmaximal, characteristic, complemented
22C37×#3201C211yesmaximal, characteristic, complemented
23C37×#3196C211yesmaximal, characteristic, complemented
24C37×#3191C211yesmaximal, characteristic, complemented
25C37×#3127C211yesmaximal, characteristic, complemented
26C37×#3121C211yesmaximal, characteristic, complemented
27C37×#3013C211yesmaximal, characteristic, complemented
28C37×#3011C211yesmaximal, characteristic, complemented
29C37×#3004C211yesmaximal, characteristic, complemented
30C2×C37×#451C211yesmaximal, characteristic, complemented
31C37×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C37C2211yescharacteristic
33C23×Q8×C37C2211yescharacteristic
34C2×#137×C37C2211yescharacteristic
35C2×#137×C37C2211yescharacteristic
36C2×#137×C37C2211yescharacteristic, complemented
37C2×#137×C37C2211yescharacteristic, complemented
38C2×#135×C37C2211yescharacteristic, complemented
39C22×Q16×C37C2211yescharacteristic
40C22×Q16×C37C2211yescharacteristic
41C22×Q16×C37C2211yescharacteristic, complemented
42C37×#563—21no—
43C37×#562—21no—
44C37×#556C2211yescharacteristic
45C37×#554—21no—
46C37×#554C2211yescharacteristic
47C37×#553—21no—
48C37×#553C2211yescharacteristic
49C37×#552C2211yescharacteristic
50D4×Q8×C37—21no—
51D4×Q8×C37—21no—
52D4×Q8×C37C2211yescharacteristic
53D4×Q8×C37C2211yescharacteristic
54D4×Q8×C37C2211yescharacteristic
55D4×Q8×C37C2211yescharacteristic
56D4×Q8×C37C2211yescharacteristic
57C37×#548—21no—
58C37×#548—21no—
59C37×#548C2211yescharacteristic
60C37×#548C2211yescharacteristic
61C37×#548C2211yescharacteristic
62C37×#548C2211yescharacteristic
63C37×#548C2211yescharacteristic
64C37×#548C2211yescharacteristic
65C37×#547C2211yescharacteristic
66C37×#542—21no—
67C37×#542C2211yescharacteristic
68C37×#541C2211yescharacteristic
69C37×#539—21no—
70C37×#538—21no—
71C37×#538—21no—
72C37×#537C2211yescharacteristic
73C37×#536—21no—
74C37×#536—21no—
75C37×#536C2211yescharacteristic
76C37×#536C2211yescharacteristic
77C37×#536C2211yescharacteristic
78C37×#525—21no—
79C37×#525—21no—
80C37×#525C2211yescharacteristic
81C37×#525C2211yescharacteristic
82C37×#525C2211yescharacteristic
83C2×C22⋊Q8×C37C2211yescharacteristic
84C37×#519C2211yescharacteristic
85C37×#497C2211yescharacteristic, complemented
86C37×#497C2211yescharacteristic, complemented
87C37×#495C2211yescharacteristic, complemented
88C37×#494C2211yescharacteristic, complemented
89C37×#491C2211yescharacteristic, complemented
90C37×#489C2211yescharacteristic, complemented
91C37×#488C2211yescharacteristic, complemented
92C37×#487C2211yescharacteristic, complemented
93C37×#485C2211yescharacteristic
94C37×#485C2211yescharacteristic
95C37×#485C2211yescharacteristic
96C37×#485C2211yescharacteristic
97C37×#485C2211yescharacteristic, complemented
98C37×#485C2211yescharacteristic, complemented
99C37×#484C2211yescharacteristic
100C37×#484C2211yescharacteristic, complemented
101C37×#483C2211yescharacteristic, complemented
102C37×#482C2211yescharacteristic
103C37×#482C2211yescharacteristic
104C37×#481C2211yescharacteristic
105C37×#479C2211yescharacteristic, complemented
106C37×#479C2211yescharacteristic, complemented
107C37×#477C2211yescharacteristic, complemented
108C37×#475C2211yescharacteristic, complemented
109C37×#470C2211yescharacteristic
110C37×#470C2211yescharacteristic
111C37×#470C2211yescharacteristic, complemented
112C37×#470C2211yescharacteristic, complemented
113C37×#470C2211yescharacteristic, complemented
114C37×#468C2211yescharacteristic
115C37×#468C2211yescharacteristic
116C37×#468C2211yescharacteristic, complemented
117C37×#467C2211yescharacteristic
118C37×#467C2211yescharacteristic, complemented
119C37×#467C2211yescharacteristic, complemented
120C37×#467C2211yescharacteristic, complemented
121C37×#466C2211yescharacteristic
122C37×#465C2211yescharacteristic
123C37×#465C2211yescharacteristic
124C37×#465C2211yescharacteristic, complemented
125C37×#464C2211yescharacteristic, complemented
126C37×#464C2211yescharacteristic, complemented
127C37×#464C2211yescharacteristic, complemented
128C37×#464C2211yescharacteristic, complemented
129C37×#464C2211yescharacteristic, complemented
130C37×#463C2211yescharacteristic, complemented
131C37×#462C2211yescharacteristic, complemented
132C37×#462C2211yescharacteristic, complemented
133C37×#462C2211yescharacteristic, complemented
134C37×#462C2211yescharacteristic, complemented
135C37×#462C2211yescharacteristic, complemented
136C37×#461C2211yescharacteristic, complemented
137C37×#452C2211yescharacteristic
138C37×#452C2211yescharacteristic
139C37×#452C2211yescharacteristic
140C37×#452C2211yescharacteristic
141C37×#452C2211yescharacteristic, complemented
142C37×#452C2211yescharacteristic, complemented
143C37×#452C2211yescharacteristic, complemented
144C37×#452C2211yescharacteristic, complemented
145C37×#452C2211yescharacteristic, complemented
146C37×#451C2211yescharacteristic
147C37×#451C2211yescharacteristic
148C37×#451C2211yescharacteristic
149C37×#451C2211yescharacteristic
150C37×#451C2211yescharacteristic
151C37×#451C2211yescharacteristic
152C37×#451C2211yescharacteristic
153C37×#451C2211yescharacteristic
154C37×#451C2211yescharacteristic
155C37×#451C2211yescharacteristic
156C37×#451C2211yescharacteristic
157C37×#451C2211yescharacteristic
158C37×#451C2211yescharacteristic
159C37×#451C2211yescharacteristic, complemented
160C37×#451C2211yescharacteristic, complemented
161C37×#451C2211yescharacteristic, complemented
162C37×#451C2211yescharacteristic, complemented
163C37×#451C2211yescharacteristic, complemented
164C37×#449C2211yescharacteristic
165C37×#449C2211yescharacteristic
166C37×#449C2211yescharacteristic, complemented
167C37×#448C2211yescharacteristic
168C37×#448C2211yescharacteristic
169C37×#448C2211yescharacteristic
170C37×#448C2211yescharacteristic
171C37×#448C2211yescharacteristic
172C37×#448C2211yescharacteristic, complemented
173C37×#441C2211yescharacteristic, complemented
174C37×#441C2211yescharacteristic, complemented
175C37×#441C2211yescharacteristic, complemented
176C37×#440C2211yescharacteristic, complemented
177C4×Q16×C37C2211yescharacteristic, complemented
178C4×Q16×C37C2211yescharacteristic, complemented
179C4×Q16×C37C2211yescharacteristic, complemented
180C4×SD16×C37C2211yescharacteristic, complemented
181C37×#436C2211yescharacteristic
182C37×#436C2211yescharacteristic
183C37×#435C2211yescharacteristic
184C37×#435C2211yescharacteristic
185C37×#435C2211yescharacteristic
186C37×#435C2211yescharacteristic
187C8×D4×C37C2211yescharacteristic
188C8×D4×C37C2211yescharacteristic
189C37×#433C2211yescharacteristic
190C37×#433C2211yescharacteristic
191C37×#419C2211yescharacteristic
192C37×#419C2211yescharacteristic
193C37×#419C2211yescharacteristic, complemented
194C37×#417C2211yescharacteristic, complemented
195C37×#416C2211yescharacteristic, complemented
196C2×#103×C37C2211yescharacteristic
197C2×#103×C37C2211yescharacteristic
198C2×#103×C37C2211yescharacteristic, complemented
199C37×#408C2211yescharacteristic
200C37×#408C2211yescharacteristic
201C37×#407C2211yescharacteristic
202C2×C22⋊C8×C37C2211yescharacteristic
2032−1+4×C37—42no—
2042−1+4×C37—42no—
205C2×#41×C37—21no—
206C2×#41×C37—21no—
207C2×#41×C37—21no—
208C2×#41×C37C2311yescharacteristic
209C2×#41×C37C2311yescharacteristic
210C2×#41×C37C2311yescharacteristic
211C2×#41×C37C2311yescharacteristic
212C2×#41×C37C2311yescharacteristic
213C2×#41×C37C2311yescharacteristic
214C22×Q8×C37—21no—
215C22×Q8×C37—21no—
216C22×Q8×C37—21no—
217C22×Q8×C37—21no—
218C22×Q8×C37—42no—
219C22×Q8×C37—42no—
220C22×Q8×C37C2311yescharacteristic
221C22×Q8×C37C2311yescharacteristic
222C22×Q8×C37C2311yescharacteristic
223C22×Q8×C37C2311yescharacteristic
224C22×Q8×C37C2311yescharacteristic
225C22×Q8×C37C2311yescharacteristic
226C22×Q8×C37C2311yescharacteristic
227C22×Q8×C37C2311yescharacteristic
228C22×Q8×C37C2311yescharacteristic
229C22×Q8×C37C2311yescharacteristic
230C23×C4×C37—21no—
231C23×C4×C37C2311yescharacteristic
232#137×C37—42no—
233#137×C37—42no—
234#137×C37—42no—
235#137×C37—42no—
236#135×C37—42no—
237C2×Q16×C37—42no—
238C2×Q16×C37—42no—
239C2×Q16×C37—42no—
240C2×Q16×C37C2311yescharacteristic
241C2×Q16×C37C2311yescharacteristic
242C2×Q16×C37C2311yescharacteristic
243C2×Q16×C37C2311yescharacteristic
244C2×Q16×C37C2311yescharacteristic
245C2×Q16×C37C2311yescharacteristic
246C2×Q16×C37C2311yescharacteristic
247C2×Q16×C37C2311yescharacteristic
248C2×Q16×C37C2311yescharacteristic
249C2×Q16×C37C2311yescharacteristic
250C2×Q16×C37C2311yescharacteristic
251C2×Q16×C37C2311yescharacteristic
252C2×Q16×C37C2311yescharacteristic
253C2×Q16×C37C2311yescharacteristic
254C2×Q16×C37C2311yescharacteristic
255C2×SD16×C37C2311yescharacteristic
256C2×SD16×C37C2311yescharacteristic
257C2×SD16×C37C2311yescharacteristic
258C2×SD16×C37C2311yescharacteristic
259C2×SD16×C37C2311yescharacteristic
260C2×SD16×C37C2311yescharacteristic
261C2×SD16×C37C2311yescharacteristic
262C2×SD16×C37C2311yescharacteristic
263C2×D8×C37C2311yescharacteristic
264C2×M16×C37C2311yescharacteristic
265C2×M16×C37C2311yescharacteristic
266C2×M16×C37C2311yescharacteristic
267C2×M16×C37C2311yescharacteristic
268C22×C8×C37C2311yescharacteristic
269C22×C8×C37C2311yescharacteristic
270C22×C8×C37C2311yescharacteristic
271C22×C8×C37C2311yescharacteristic
272C4⋊Q8×C37—21no—
273C4⋊Q8×C37—21no—
274C4⋊Q8×C37—21no—
275C4⋊Q8×C37—21no—
276C4⋊Q8×C37—21no—
277C4⋊Q8×C37—21no—
278C4⋊Q8×C37—21no—
279C4⋊Q8×C37C2311yescharacteristic
280C4⋊Q8×C37C2311yescharacteristic
281C4⋊Q8×C37C2311yescharacteristic
282C4⋊Q8×C37C2311yescharacteristic
283#126×C37—21no—
284#126×C37—21no—
285#126×C37—21no—
286#126×C37—21no—
287#126×C37—21no—
288#126×C37—21no—
289#126×C37—21no—
290#125×C37—21no—
291#125×C37—21no—
292#125×C37—21no—
293#125×C37—21no—
294#125×C37C2311yescharacteristic
295#124×C37—21no—
296#124×C37—21no—
297#124×C37—21no—
298#124×C37—21no—
299#124×C37—21no—
300#124×C37—21no—
301#124×C37—21no—
302#124×C37—21no—
303#124×C37—21no—
304#124×C37—21no—
305#124×C37C2311yescharacteristic
306#124×C37C2311yescharacteristic
307#124×C37C2311yescharacteristic
308#123×C37—21no—
309#123×C37—21no—
310#123×C37—21no—
311#123×C37—21no—
312#123×C37—21no—
313#123×C37—21no—
314#123×C37—21no—
315#123×C37—21no—
316#123×C37—21no—
317#123×C37—21no—
318#123×C37—21no—
319#123×C37—21no—
320#123×C37—21no—
321#123×C37D411yescharacteristic
322#123×C37D411yescharacteristic
323C22⋊Q8×C37—21no—
324C22⋊Q8×C37—21no—
325C22⋊Q8×C37—21no—
326C22⋊Q8×C37—21no—
327C22⋊Q8×C37—21no—
328C22⋊Q8×C37—21no—
329C22⋊Q8×C37—21no—
330C22⋊Q8×C37—21no—
331C22⋊Q8×C37—21no—
332C22⋊Q8×C37—21no—
333C22⋊Q8×C37—21no—
334C22⋊Q8×C37—21no—
335C22⋊Q8×C37—21no—
336C22⋊Q8×C37—21no—
337C22⋊Q8×C37—21no—
338C22⋊Q8×C37—21no—
339C22⋊Q8×C37—21no—
340C22⋊Q8×C37—21no—
341C22⋊Q8×C37—21no—
342C22⋊Q8×C37—21no—
343C22⋊Q8×C37—21no—
344C22⋊Q8×C37—21no—
345C22⋊Q8×C37—21no—
346C22⋊Q8×C37—21no—
347C22⋊Q8×C37D411yescharacteristic
348C22⋊Q8×C37D411yescharacteristic
349C22⋊Q8×C37C2311yescharacteristic
350C22⋊Q8×C37C2311yescharacteristic
351C22⋊Q8×C37C2311yescharacteristic
352C22⋊Q8×C37C2311yescharacteristic
353C22⋊Q8×C37C2311yescharacteristic
354C22⋊Q8×C37C2311yescharacteristic
355C22⋊Q8×C37C2311yescharacteristic
356C22⋊Q8×C37C2311yescharacteristic
357C22⋊Q8×C37C2311yescharacteristic
358C22⋊Q8×C37C2311yescharacteristic
359C22⋊Q8×C37C2311yescharacteristic
360C22⋊Q8×C37C2311yescharacteristic
361C22⋊Q8×C37C2311yescharacteristic
362C22⋊Q8×C37C2311yescharacteristic
363C22⋊Q8×C37C2311yescharacteristic
364#121×C37—21no—
365#121×C37—21no—
366#121×C37—21no—
367#121×C37—21no—
368#121×C37—21no—
369#121×C37—21no—
370#121×C37—21no—
371#121×C37—21no—
372#121×C37—21no—
373#121×C37—21no—
374#121×C37—21no—
375#121×C37D411yescharacteristic
376#121×C37D411yescharacteristic
377#121×C37C2311yescharacteristic
378#121×C37C2311yescharacteristic
379#121×C37C2311yescharacteristic
380#121×C37C2311yescharacteristic
381#121×C37C2311yescharacteristic
382#120×C37—21no—
383#120×C37—21no—
384#120×C37D411yescharacteristic
385#120×C37D411yescharacteristic
386C4×Q8×C37—21no—
387C4×Q8×C37—21no—
388C4×Q8×C37—21no—
389C4×Q8×C37C2311yescharacteristic
390C4×Q8×C37C2311yescharacteristic
391C4×Q8×C37C2311yescharacteristic
392C4×Q8×C37C2311yescharacteristic
393C4×Q8×C37C2311yescharacteristic
394C4×Q8×C37C2311yescharacteristic
395C4×Q8×C37C2311yescharacteristic
396C4×D4×C37—21no—
397C4×D4×C37—21no—
398C4×D4×C37—21no—
399C4×D4×C37—21no—
400C4×D4×C37—21no—
401C4×D4×C37—21no—
402C4×D4×C37—21no—
403C4×D4×C37—21no—
404C4×D4×C37—21no—
405C4×D4×C37—21no—
406C4×D4×C37—21no—
407C4×D4×C37—21no—
408C4×D4×C37—21no—
409C4×D4×C37—21no—
410C4×D4×C37—21no—
411C4×D4×C37—21no—
412C4×D4×C37—21no—
413C4×D4×C37C2311yescharacteristic
414C4×D4×C37C2311yescharacteristic
415C4×D4×C37C2311yescharacteristic
416C4×D4×C37C2311yescharacteristic
417C4×D4×C37C2311yescharacteristic
418#117×C37—21no—
419#117×C37—21no—
420#117×C37—21no—
421#117×C37C2311yescharacteristic
422#117×C37C2311yescharacteristic
423#117×C37C2311yescharacteristic
424#117×C37C2311yescharacteristic
425C2×C4⋊C4×C37—21no—
426C2×C4⋊C4×C37—21no—
427C2×C4⋊C4×C37C2311yescharacteristic
428C2×C4⋊C4×C37C2311yescharacteristic
429C2×C22⋊C4×C37—21no—
430#107×C37C2311yescharacteristic
431#107×C37C2311yescharacteristic
432#107×C37C2311yescharacteristic
433#107×C37C2311yescharacteristic
434#106×C37C2311yescharacteristic
435#106×C37C2311yescharacteristic
436#106×C37C2311yescharacteristic
437#106×C37C2311yescharacteristic
438C4⋊C8×C37C2311yescharacteristic
439C4⋊C8×C37C2311yescharacteristic
440C4⋊C8×C37C2311yescharacteristic
441C4⋊C8×C37C2311yescharacteristic
442#103×C37C2311yescharacteristic
443#103×C37C2311yescharacteristic
444#103×C37C2311yescharacteristic
445#103×C37C2311yescharacteristic
446#103×C37C2311yescharacteristic
447#103×C37C2311yescharacteristic
448#103×C37C2311yescharacteristic
449#103×C37C2311yescharacteristic
450#103×C37C2311yescharacteristic
451#103×C37C2311yescharacteristic
452#103×C37C2311yescharacteristic
453#103×C37C2311yescharacteristic
454#103×C37C2311yescharacteristic
455#103×C37C2311yescharacteristic
456#103×C37C2311yescharacteristic
457#103×C37C2311yescharacteristic
458#103×C37C2311yescharacteristic
459#103×C37C2311yescharacteristic
460#103×C37C2311yescharacteristic
461#103×C37C2311yescharacteristic
462#103×C37C2311yescharacteristic
463#103×C37C2311yescharacteristic
464#103×C37C2311yescharacteristic
465#103×C37C2311yescharacteristic
466#103×C37C2311yescharacteristic
467#103×C37C2311yescharacteristic
468#102×C37C2311yescharacteristic
469#102×C37C2311yescharacteristic
470#102×C37C2311yescharacteristic
471#102×C37C2311yescharacteristic
472#102×C37C2311yescharacteristic
473#102×C37C2311yescharacteristic
474C22⋊C8×C37C2311yescharacteristic
475C22⋊C8×C37C2311yescharacteristic
476C22⋊C8×C37C2311yescharacteristic
477C22⋊C8×C37C2311yescharacteristic
478C22⋊C8×C37C2311yescharacteristic
479C22⋊C8×C37C2311yescharacteristic
480C22⋊C8×C37C2311yescharacteristic
481C22⋊C8×C37C2311yescharacteristic
482C22⋊C8×C37C2311yescharacteristic
483C22⋊C8×C37C2311yescharacteristic
484C22⋊C8×C37C2311yescharacteristic
485C22⋊C8×C37C2311yescharacteristic
486#97×C37C2311yescharacteristic
487#97×C37C2311yescharacteristic
488C4×C8×C37C2311yescharacteristic
489C4×C8×C37C2311yescharacteristic
490C24×C37C2×D411yescharacteristic
491#41×C37—22no—
492#41×C37—22no—
493#41×C37—41no—
494#41×C37—41no—
495#41×C37—41no—
496#41×C37—41no—
497#41×C37—41no—
498#41×C37—41no—
499#41×C37—44no—
500#41×C37—44no—
501#41×C37—41no—
502#41×C37—41no—
503#41×C37—41no—
504#41×C37—41no—
505#41×C37—44no—
506C2×Q8×C37—22no—
507C2×Q8×C37—22no—
508C2×Q8×C37—21no—
509C2×Q8×C37—21no—
510C2×Q8×C37—21no—
511C2×Q8×C37—21no—
512C2×Q8×C37—21no—
513C2×Q8×C37—21no—
514C2×Q8×C37—21no—
515C2×Q8×C37—21no—
516C2×Q8×C37—21no—
517C2×Q8×C37—21no—
518C2×Q8×C37—21no—
519C2×Q8×C37—22no—
520C2×Q8×C37—22no—
521C2×Q8×C37—22no—
522C2×Q8×C37—22no—
523C2×Q8×C37—22no—
524C2×Q8×C37—22no—
525C2×Q8×C37—41no—
526C2×Q8×C37—41no—
527C2×Q8×C37—41no—
528C2×Q8×C37—41no—
529C2×Q8×C37—41no—
530C2×Q8×C37—41no—
531C2×Q8×C37—41no—
532C2×Q8×C37—41no—
533C2×Q8×C37—44no—
534C2×Q8×C37—41no—
535C2×Q8×C37—41no—
536C2×Q8×C37—41no—
537C2×Q8×C37—41no—
538C2×Q8×C37—44no—
539C2×Q8×C37—44no—
540C2×Q8×C37—44no—
541C2×Q8×C37C2×D411yescharacteristic
542C2×Q8×C37C2411yescharacteristic
543C2×Q8×C37C2411yescharacteristic
544C2×Q8×C37C2411yescharacteristic
545C2×Q8×C37C2411yescharacteristic
546C2×Q8×C37C2411yescharacteristic
547C2×Q8×C37C2411yescharacteristic
548C2×Q8×C37C2411yescharacteristic
549C2×Q8×C37C2411yescharacteristic
550C2×D4×C37—21no—
551C2×D4×C37—21no—
552C2×D4×C37—21no—
553C2×D4×C37—21no—
554C2×D4×C37—21no—
555C2×D4×C37—21no—
556C2×D4×C37—21no—
557C2×D4×C37—21no—
558C2×D4×C37—21no—
559C2×D4×C37—21no—
560C2×D4×C37C2×D411yescharacteristic
561C2×D4×C37C2×D411yescharacteristic
562C2×D4×C37C2×D411yescharacteristic
563C2×D4×C37C2×D411yescharacteristic
564C2×D4×C37C2×D411yescharacteristic
565C2×D4×C37C2×D411yescharacteristic
566C2×D4×C37C2×D411yescharacteristic
567C2×D4×C37C2411yescharacteristic
568C2×D4×C37C2411yescharacteristic
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—21no—
583C22×C4×C37—21no—
584C22×C4×C37—21no—
585C22×C4×C37—21no—
586C22×C4×C37—21no—
587C22×C4×C37—41no—
588C22×C4×C37—41no—
589C22×C4×C37—44no—
590C22×C4×C37C2×D411yescharacteristic
591C22×C4×C37C2×D411yescharacteristic
592C22×C4×C37C2×D411yescharacteristic
593C22×C4×C37C2411yescharacteristic
594C22×C4×C37C2411yescharacteristic
595C22×C4×C37C2411yescharacteristic
596C22×C4×C37C2411yescharacteristic
597C22×C4×C37C2411yescharacteristic
598Q16×C37—22no—
599Q16×C37—22no—
600Q16×C37—22no—
601Q16×C37—22no—
602Q16×C37—22no—
603Q16×C37—22no—
604Q16×C37—41no—
605Q16×C37—41no—
606Q16×C37—41no—
607Q16×C37—41no—
608Q16×C37—41no—
609Q16×C37—41no—
610Q16×C37—41no—
611Q16×C37—41no—
612Q16×C37—41no—
613SD16×C37—22no—
614SD16×C37—22no—
615SD16×C37—41no—
616SD16×C37—41no—
617SD16×C37—41no—
618SD16×C37—41no—
619SD16×C37—41no—
620SD16×C37—41no—
621D8×C37—41no—
622M16×C37—41no—
623M16×C37—41no—
624M16×C37—41no—
625M16×C37—41no—
626C2×C8×C37—41no—
627C2×C8×C37—41no—
628C2×C8×C37—41no—
629C2×C8×C37—41no—
630C2×C8×C37C2411yescharacteristic
631C2×C8×C37C2411yescharacteristic
632C2×C8×C37C2411yescharacteristic
633C2×C8×C37C2411yescharacteristic
634C2×C8×C37C2411yescharacteristic
635C2×C8×C37C2411yescharacteristic
636C2×C8×C37C2411yescharacteristic
637C2×C8×C37C2411yescharacteristic
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×C37—21no—
654C4⋊C4×C37—21no—
655C4⋊C4×C37—21no—
656C4⋊C4×C37—21no—
657C4⋊C4×C37—21no—
658C4⋊C4×C37—21no—
659C4⋊C4×C37—21no—
660C4⋊C4×C37—21no—
661C4⋊C4×C37—21no—
662C4⋊C4×C37—21no—
663C4⋊C4×C37—21no—
664C4⋊C4×C37—21no—
665C4⋊C4×C37—21no—
666C4⋊C4×C37—21no—
667C4⋊C4×C37—21no—
668C4⋊C4×C37—21no—
669C4⋊C4×C37—21no—
670C4⋊C4×C37—21no—
671C4⋊C4×C37C2×D411yescharacteristic
672C4⋊C4×C37C2×D411yescharacteristic
673C4⋊C4×C37C2×D411yescharacteristic
674C4⋊C4×C37C2×D411yescharacteristic
675C4⋊C4×C37C2×D411yescharacteristic
676C4⋊C4×C37C2×D411yescharacteristic
677C4⋊C4×C37C2411yescharacteristic
678C4⋊C4×C37C2411yescharacteristic
679C4⋊C4×C37C2411yescharacteristic
680C4⋊C4×C37C2411yescharacteristic
681C4⋊C4×C37C2411yescharacteristic
682C4⋊C4×C37C2411yescharacteristic
683C22⋊C4×C37—21no—
684C22⋊C4×C37—21no—
685C22⋊C4×C37—21no—
686C22⋊C4×C37—21no—
687C22⋊C4×C37—21no—
688C22⋊C4×C37—21no—
689C22⋊C4×C37—21no—
690C22⋊C4×C37—21no—
691C22⋊C4×C37—21no—
692C22⋊C4×C37—21no—
693C22⋊C4×C37—21no—
694C22⋊C4×C37—21no—
695C22⋊C4×C37—21no—
696C22⋊C4×C37—21no—
697C22⋊C4×C37—21no—
698C22⋊C4×C37—21no—
699C22⋊C4×C37—21no—
700C22⋊C4×C37—21no—
701C22⋊C4×C37—21no—
702C22⋊C4×C37—21no—
703C22⋊C4×C37—21no—
704C22⋊C4×C37—21no—
705C22⋊C4×C37—21no—
706C22⋊C4×C37—21no—
707C22⋊C4×C37—21no—
708C22⋊C4×C37—21no—
709C22⋊C4×C37—21no—
710C22⋊C4×C37—21no—
711C22⋊C4×C37—21no—
712C22⋊C4×C37—21no—
713C22⋊C4×C37C2×D411yescharacteristic
714C22⋊C4×C37C2×D411yescharacteristic
715C22⋊C4×C37C2×D411yescharacteristic
716C22⋊C4×C37C2×D411yescharacteristic
717C22⋊C4×C37C2×D411yescharacteristic
718C22⋊C4×C37C2×D411yescharacteristic
719C22⋊C4×C37C2×D411yescharacteristic
720C22⋊C4×C37C2×D411yescharacteristic
721C22⋊C4×C37C2×D411yescharacteristic
722C22⋊C4×C37C2×D411yescharacteristic
723C42×C37—21no—
724C42×C37—21no—
725C42×C37—21no—
726C42×C37—21no—
727C42×C37—21no—
728C42×C37—21no—
729C42×C37—21no—
730C42×C37—21no—
731C42×C37—21no—
732C42×C37—21no—
733C42×C37C2411yescharacteristic
734C42×C37C2411yescharacteristic
735C23×C37—22no—
736C23×C37—21no—
737C23×C37—21no—
738C23×C37—41no—
739C23×C37—41no—
740C23×C37C22×D411yescharacteristic
741C23×C37C22×D411yescharacteristic
742C23×C37C22×D411yescharacteristic
743C23×C37C22×D411yescharacteristic
744C23×C37C22×D411yescharacteristic
745Q8×C37—24no—
746Q8×C37—21no—
747Q8×C37—21no—
748Q8×C37—21no—
749Q8×C37—21no—
750Q8×C37—21no—
751Q8×C37—21no—
752Q8×C37—21no—
753Q8×C37—21no—
754Q8×C37—21no—
755Q8×C37—21no—
756Q8×C37—21no—
757Q8×C37—21no—
758Q8×C37—21no—
759Q8×C37—21no—
760Q8×C37—41no—
761Q8×C37—42no—
762Q8×C37—42no—
763Q8×C37—42no—
764Q8×C37—42no—
765Q8×C37—42no—
766Q8×C37—42no—
767Q8×C37—42no—
768Q8×C37—81no—
769Q8×C37—81no—
770Q8×C37—81no—
771Q8×C37H(5,𝔽2)12yes—
772Q8×C37H(5,𝔽2)12yes—
773D4×C37—22no—
774D4×C37—22no—
775D4×C37—21no—
776D4×C37—21no—
777D4×C37—21no—
778D4×C37—21no—
779D4×C37—41no—
780D4×C37—41no—
781D4×C37—41no—
782D4×C37—41no—
783D4×C37—41no—
784D4×C37—42no—
785D4×C37—42no—
786D4×C37—42no—
787D4×C37—42no—
788D4×C37—42no—
789D4×C37—42no—
790D4×C37—81no—
791D4×C37—81no—
792D4×C37—81no—
793D4×C37—81no—
794C2×C4×C37—24no—
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—21no—
814C2×C4×C37—21no—
815C2×C4×C37—21no—
816C2×C4×C37—21no—
817C2×C4×C37—21no—
818C2×C4×C37—21no—
819C2×C4×C37—41no—
820C2×C4×C37—41no—
821C2×C4×C37—41no—
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—42no—
829C2×C4×C37—42no—
830C2×C4×C37—42no—
831C2×C4×C37—42no—
832C2×C4×C37—81no—
833C2×C4×C37—81no—
834C2×C4×C37—81no—
835C2×C4×C37—81no—
836C2×C4×C37—81no—
837C2×C4×C37—81no—
838C2×C4×C37—81no—
839C2×C4×C37C22×D411yescharacteristic
840C2×C4×C37C22×D411yescharacteristic
841C2×C4×C37C22×D411yescharacteristic
842C2×C4×C37C22×D411yescharacteristic
843C2×C4×C37C22×D411yescharacteristic
844C2×C4×C37C22×D411yescharacteristic
845C2×C4×C37C22×D411yescharacteristic
846C2×C4×C37C22×D411yescharacteristic
847C2×C4×C37C22×D411yescharacteristic
848C2×C4×C37C2511yescharacteristic
849C8×C37—21no—
850C8×C37—21no—
851C8×C37—21no—
852C8×C37—21no—
853C8×C37—21no—
854C8×C37—21no—
855C8×C37—21no—
856C8×C37—21no—
857#61612C3711yesmaximal, characteristic, direct product factor, Sylow
858C22×C37—21no—
859C22×C37—21no—
860C22×C37—21no—
861C22×C37—21no—
862C22×C37—21no—
863C22×C37—21no—
864C22×C37—21no—
865C22×C37—21no—
866C22×C37—21no—
867C22×C37—21no—
868C22×C37—21no—
869C22×C37—21no—
870C22×C37—21no—
871C22×C37—21no—
872C22×C37—44no—
873C22×C37—41no—
874C22×C37—41no—
875C22×C37—41no—
876C22×C37—41no—
877C22×C37—41no—
878C22×C37—41no—
879C22×C37#57812yes—
880C22×C37C23×D411yescharacteristic
881C4×C37—21no—
882C4×C37—21no—
883C4×C37—22no—
884C4×C37—22no—
885C4×C37—21no—
886C4×C37—21no—
887C4×C37—21no—
888C4×C37—21no—
889C4×C37—21no—
890C4×C37—21no—
891C4×C37—21no—
892C4×C37—41no—
893C4×C37—41no—
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×C37C2×H(5,𝔽2)11yescharacteristic
905C4×C37C2×H(5,𝔽2)11yescharacteristic
906#3541C2×C3711yescharacteristic, complemented
907#3486C2×C3711yescharacteristic, complemented
908#3328C2×C3711yescharacteristic, complemented
909#3327C2×C3711yescharacteristic, complemented
910#3320C2×C3711yescharacteristic, complemented
911#3316C2×C3711yescharacteristic, complemented
912#3313C2×C3711yescharacteristic, complemented
913#3312C2×C3711yescharacteristic, complemented
914#3301C2×C3711yescharacteristic, complemented
915#3299C2×C3711yescharacteristic, complemented
916D4×Q16C2×C3711yescharacteristic, complemented
917#3285C2×C3711yescharacteristic, complemented
918#3277C2×C3711yescharacteristic, complemented
919#3276C2×C3711yescharacteristic, complemented
920#3270C2×C3711yescharacteristic, complemented
921#3270C2×C3711yescharacteristic, complemented
922#3270C2×C3711yescharacteristic, complemented
923#3269C2×C3711yescharacteristic, complemented
924#3225C2×C3711yescharacteristic, complemented
925#3223C2×C3711yescharacteristic, complemented
926#3202C2×C3711yescharacteristic, complemented
927#3201C2×C3711yescharacteristic, complemented
928#3196C2×C3711yescharacteristic, complemented
929#3191C2×C3711yescharacteristic, complemented
930#3127C2×C3711yescharacteristic, complemented
931#3121C2×C3711yescharacteristic, complemented
932#3013C2×C3711yescharacteristic, complemented
933#3011C2×C3711yescharacteristic, complemented
934#3004C2×C3711yescharacteristic, complemented
935C2×#451C2×C3711yescharacteristic, complemented
936#2976C2×C3711yescharacteristic, complemented
937C2×C37—22no—
938C2×C37—41no—
939C2×C37—41no—
940C2×C37—41no—
941C2×C37—41no—
942C2×C37—81no—
943C2×C37—81no—
944C2×C37#348411yescharacteristic
945C2×C37C2×#57811yescharacteristic
946C2×C37#358611yescharacteristic
947C2×2−1+4C22×C3711yescharacteristic
948C23×Q8C22×C3711yescharacteristic
949C2×#137C22×C3711yescharacteristic
950C2×#137C22×C3711yescharacteristic
951C2×#137C22×C3711yescharacteristic, complemented
952C2×#137C22×C3711yescharacteristic, complemented
953C2×#135C22×C3711yescharacteristic, complemented
954C22×Q16C22×C3711yescharacteristic
955C22×Q16C22×C3711yescharacteristic
956C22×Q16C22×C3711yescharacteristic, complemented
957#563—21no—
958#562—21no—
959#556C22×C3711yescharacteristic
960#554—21no—
961#554C22×C3711yescharacteristic
962#553—21no—
963#553C22×C3711yescharacteristic
964#552C22×C3711yescharacteristic
965D4×Q8—21no—
966D4×Q8—21no—
967D4×Q8C22×C3711yescharacteristic
968D4×Q8C22×C3711yescharacteristic
969D4×Q8C22×C3711yescharacteristic
970D4×Q8C22×C3711yescharacteristic
971D4×Q8C22×C3711yescharacteristic
972#548—21no—
973#548—21no—
974#548C22×C3711yescharacteristic
975#548C22×C3711yescharacteristic
976#548C22×C3711yescharacteristic
977#548C22×C3711yescharacteristic
978#548C22×C3711yescharacteristic
979#548C22×C3711yescharacteristic
980#547C22×C3711yescharacteristic
981#542—21no—
982#542C22×C3711yescharacteristic
983#541C22×C3711yescharacteristic
984#539—21no—
985#538—21no—
986#538—21no—
987#537C22×C3711yescharacteristic
988#536—21no—
989#536—21no—
990#536C22×C3711yescharacteristic
991#536C22×C3711yescharacteristic
992#536C22×C3711yescharacteristic
993#525—21no—
994#525—21no—
995#525C22×C3711yescharacteristic
996#525C22×C3711yescharacteristic
997#525C22×C3711yescharacteristic
998C2×C22⋊Q8C22×C3711yescharacteristic
999#519C22×C3711yescharacteristic
1000#497C22×C3711yescharacteristic, complemented
1001#497C22×C3711yescharacteristic, complemented
1002#495C22×C3711yescharacteristic, complemented
1003#494C22×C3711yescharacteristic, complemented
1004#491C22×C3711yescharacteristic, complemented
1005#489C22×C3711yescharacteristic, complemented
1006#488C22×C3711yescharacteristic, complemented
1007#487C22×C3711yescharacteristic, complemented
1008#485C22×C3711yescharacteristic
1009#485C22×C3711yescharacteristic
1010#485C22×C3711yescharacteristic
1011#485C22×C3711yescharacteristic
1012#485C22×C3711yescharacteristic, complemented
1013#485C22×C3711yescharacteristic, complemented
1014#484C22×C3711yescharacteristic
1015#484C22×C3711yescharacteristic, complemented
1016#483C22×C3711yescharacteristic, complemented
1017#482C22×C3711yescharacteristic
1018#482C22×C3711yescharacteristic
1019#481C22×C3711yescharacteristic
1020#479C22×C3711yescharacteristic, complemented
1021#479C22×C3711yescharacteristic, complemented
1022#477C22×C3711yescharacteristic, complemented
1023#475C22×C3711yescharacteristic, complemented
1024#470C22×C3711yescharacteristic
1025#470C22×C3711yescharacteristic
1026#470C22×C3711yescharacteristic, complemented
1027#470C22×C3711yescharacteristic, complemented
1028#470C22×C3711yescharacteristic, complemented
1029#468C22×C3711yescharacteristic
1030#468C22×C3711yescharacteristic
1031#468C22×C3711yescharacteristic, complemented
1032#467C22×C3711yescharacteristic
1033#467C22×C3711yescharacteristic, complemented
1034#467C22×C3711yescharacteristic, complemented
1035#467C22×C3711yescharacteristic, complemented
1036#466C22×C3711yescharacteristic
1037#465C22×C3711yescharacteristic
1038#465C22×C3711yescharacteristic
1039#465C22×C3711yescharacteristic, complemented
1040#464C22×C3711yescharacteristic, complemented
1041#464C22×C3711yescharacteristic, complemented
1042#464C22×C3711yescharacteristic, complemented
1043#464C22×C3711yescharacteristic, complemented
1044#464C22×C3711yescharacteristic, complemented
1045#463C22×C3711yescharacteristic, complemented
1046#462C22×C3711yescharacteristic, complemented
1047#462C22×C3711yescharacteristic, complemented
1048#462C22×C3711yescharacteristic, complemented
1049#462C22×C3711yescharacteristic, complemented
1050#462C22×C3711yescharacteristic, complemented
1051#461C22×C3711yescharacteristic, complemented
1052#452C22×C3711yescharacteristic
1053#452C22×C3711yescharacteristic
1054#452C22×C3711yescharacteristic
1055#452C22×C3711yescharacteristic
1056#452C22×C3711yescharacteristic, complemented
1057#452C22×C3711yescharacteristic, complemented
1058#452C22×C3711yescharacteristic, complemented
1059#452C22×C3711yescharacteristic, complemented
1060#452C22×C3711yescharacteristic, complemented
1061#451C22×C3711yescharacteristic
1062#451C22×C3711yescharacteristic
1063#451C22×C3711yescharacteristic
1064#451C22×C3711yescharacteristic
1065#451C22×C3711yescharacteristic
1066#451C22×C3711yescharacteristic
1067#451C22×C3711yescharacteristic
1068#451C22×C3711yescharacteristic
1069#451C22×C3711yescharacteristic
1070#451C22×C3711yescharacteristic
1071#451C22×C3711yescharacteristic
1072#451C22×C3711yescharacteristic
1073#451C22×C3711yescharacteristic
1074#451C22×C3711yescharacteristic, complemented
1075#451C22×C3711yescharacteristic, complemented
1076#451C22×C3711yescharacteristic, complemented
1077#451C22×C3711yescharacteristic, complemented
1078#451C22×C3711yescharacteristic, complemented
1079#449C22×C3711yescharacteristic
1080#449C22×C3711yescharacteristic
1081#449C22×C3711yescharacteristic, complemented
1082#448C22×C3711yescharacteristic
1083#448C22×C3711yescharacteristic
1084#448C22×C3711yescharacteristic
1085#448C22×C3711yescharacteristic
1086#448C22×C3711yescharacteristic
1087#448C22×C3711yescharacteristic, complemented
1088#441C22×C3711yescharacteristic, complemented
1089#441C22×C3711yescharacteristic, complemented
1090#441C22×C3711yescharacteristic, complemented
1091#440C22×C3711yescharacteristic, complemented
1092C4×Q16C22×C3711yescharacteristic, complemented
1093C4×Q16C22×C3711yescharacteristic, complemented
1094C4×Q16C22×C3711yescharacteristic, complemented
1095C4×SD16C22×C3711yescharacteristic, complemented
1096#436C22×C3711yescharacteristic
1097#436C22×C3711yescharacteristic
1098#435C22×C3711yescharacteristic
1099#435C22×C3711yescharacteristic
1100#435C22×C3711yescharacteristic
1101#435C22×C3711yescharacteristic
1102C8×D4C22×C3711yescharacteristic
1103C8×D4C22×C3711yescharacteristic
1104#433C22×C3711yescharacteristic
1105#433C22×C3711yescharacteristic
1106#419C22×C3711yescharacteristic
1107#419C22×C3711yescharacteristic
1108#419C22×C3711yescharacteristic, complemented
1109#417C22×C3711yescharacteristic, complemented
1110#416C22×C3711yescharacteristic, complemented
1111C2×#103C22×C3711yescharacteristic
1112C2×#103C22×C3711yescharacteristic
1113C2×#103C22×C3711yescharacteristic, complemented
1114#408C22×C3711yescharacteristic
1115#408C22×C3711yescharacteristic
1116#407C22×C3711yescharacteristic
1117C2×C22⋊C8C22×C3711yescharacteristic
1118C37#6161211yescharacteristic, direct product factor, Sylow
11192−1+4—42no—
11202−1+4—42no—
1121C2×#41—21no—
1122C2×#41—21no—
1123C2×#41—21no—
1124C2×#41C23×C3711yescharacteristic
1125C2×#41C23×C3711yescharacteristic
1126C2×#41C23×C3711yescharacteristic
1127C2×#41C23×C3711yescharacteristic
1128C2×#41C23×C3711yescharacteristic
1129C2×#41C23×C3711yescharacteristic
1130C22×Q8—21no—
1131C22×Q8—21no—
1132C22×Q8—21no—
1133C22×Q8—21no—
1134C22×Q8—42no—
1135C22×Q8—42no—
1136C22×Q8C23×C3711yescharacteristic
1137C22×Q8C23×C3711yescharacteristic
1138C22×Q8C23×C3711yescharacteristic
1139C22×Q8C23×C3711yescharacteristic
1140C22×Q8C23×C3711yescharacteristic
1141C22×Q8C23×C3711yescharacteristic
1142C22×Q8C23×C3711yescharacteristic
1143C22×Q8C23×C3711yescharacteristic
1144C22×Q8C23×C3711yescharacteristic
1145C22×Q8C23×C3711yescharacteristic
1146C23×C4—21no—
1147C23×C4C23×C3711yescharacteristic
1148#137—42no—
1149#137—42no—
1150#137—42no—
1151#137—42no—
1152#135—42no—
1153C2×Q16—42no—
1154C2×Q16—42no—
1155C2×Q16—42no—
1156C2×Q16C23×C3711yescharacteristic
1157C2×Q16C23×C3711yescharacteristic
1158C2×Q16C23×C3711yescharacteristic
1159C2×Q16C23×C3711yescharacteristic
1160C2×Q16C23×C3711yescharacteristic
1161C2×Q16C23×C3711yescharacteristic
1162C2×Q16C23×C3711yescharacteristic
1163C2×Q16C23×C3711yescharacteristic
1164C2×Q16C23×C3711yescharacteristic
1165C2×Q16C23×C3711yescharacteristic
1166C2×Q16C23×C3711yescharacteristic
1167C2×Q16C23×C3711yescharacteristic
1168C2×Q16C23×C3711yescharacteristic
1169C2×Q16C23×C3711yescharacteristic
1170C2×Q16C23×C3711yescharacteristic
1171C2×SD16C23×C3711yescharacteristic
1172C2×SD16C23×C3711yescharacteristic
1173C2×SD16C23×C3711yescharacteristic
1174C2×SD16C23×C3711yescharacteristic
1175C2×SD16C23×C3711yescharacteristic
1176C2×SD16C23×C3711yescharacteristic
1177C2×SD16C23×C3711yescharacteristic
1178C2×SD16C23×C3711yescharacteristic
1179C2×D8C23×C3711yescharacteristic
1180C2×M16C23×C3711yescharacteristic
1181C2×M16C23×C3711yescharacteristic
1182C2×M16C23×C3711yescharacteristic
1183C2×M16C23×C3711yescharacteristic
1184C22×C8C23×C3711yescharacteristic
1185C22×C8C23×C3711yescharacteristic
1186C22×C8C23×C3711yescharacteristic
1187C22×C8C23×C3711yescharacteristic
1188C4⋊Q8—21no—
1189C4⋊Q8—21no—
1190C4⋊Q8—21no—
1191C4⋊Q8—21no—
1192C4⋊Q8—21no—
1193C4⋊Q8—21no—
1194C4⋊Q8—21no—
1195C4⋊Q8C23×C3711yescharacteristic
1196C4⋊Q8C23×C3711yescharacteristic
1197C4⋊Q8C23×C3711yescharacteristic
1198C4⋊Q8C23×C3711yescharacteristic
1199#126—21no—
1200#126—21no—
1201#126—21no—
1202#126—21no—
1203#126—21no—
1204#126—21no—
1205#126—21no—
1206#125—21no—
1207#125—21no—
1208#125—21no—
1209#125—21no—
1210#125C23×C3711yescharacteristic
1211#124—21no—
1212#124—21no—
1213#124—21no—
1214#124—21no—
1215#124—21no—
1216#124—21no—
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124C23×C3711yescharacteristic
1222#124C23×C3711yescharacteristic
1223#124C23×C3711yescharacteristic
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123D4×C3711yescharacteristic
1238#123D4×C3711yescharacteristic
1239C22⋊Q8—21no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—21no—
1243C22⋊Q8—21no—
1244C22⋊Q8—21no—
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8D4×C3711yescharacteristic
1264C22⋊Q8D4×C3711yescharacteristic
1265C22⋊Q8C23×C3711yescharacteristic
1266C22⋊Q8C23×C3711yescharacteristic
1267C22⋊Q8C23×C3711yescharacteristic
1268C22⋊Q8C23×C3711yescharacteristic
1269C22⋊Q8C23×C3711yescharacteristic
1270C22⋊Q8C23×C3711yescharacteristic
1271C22⋊Q8C23×C3711yescharacteristic
1272C22⋊Q8C23×C3711yescharacteristic
1273C22⋊Q8C23×C3711yescharacteristic
1274C22⋊Q8C23×C3711yescharacteristic
1275C22⋊Q8C23×C3711yescharacteristic
1276C22⋊Q8C23×C3711yescharacteristic
1277C22⋊Q8C23×C3711yescharacteristic
1278C22⋊Q8C23×C3711yescharacteristic
1279C22⋊Q8C23×C3711yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121D4×C3711yescharacteristic
1292#121D4×C3711yescharacteristic
1293#121C23×C3711yescharacteristic
1294#121C23×C3711yescharacteristic
1295#121C23×C3711yescharacteristic
1296#121C23×C3711yescharacteristic
1297#121C23×C3711yescharacteristic
1298#120—21no—
1299#120—21no—
1300#120D4×C3711yescharacteristic
1301#120D4×C3711yescharacteristic
1302C4×Q8—21no—
1303C4×Q8—21no—
1304C4×Q8—21no—
1305C4×Q8C23×C3711yescharacteristic
1306C4×Q8C23×C3711yescharacteristic
1307C4×Q8C23×C3711yescharacteristic
1308C4×Q8C23×C3711yescharacteristic
1309C4×Q8C23×C3711yescharacteristic
1310C4×Q8C23×C3711yescharacteristic
1311C4×Q8C23×C3711yescharacteristic
1312C4×D4—21no—
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—21no—
1316C4×D4—21no—
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4C23×C3711yescharacteristic
1330C4×D4C23×C3711yescharacteristic
1331C4×D4C23×C3711yescharacteristic
1332C4×D4C23×C3711yescharacteristic
1333C4×D4C23×C3711yescharacteristic
1334#117—21no—
1335#117—21no—
1336#117—21no—
1337#117C23×C3711yescharacteristic
1338#117C23×C3711yescharacteristic
1339#117C23×C3711yescharacteristic
1340#117C23×C3711yescharacteristic
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4C23×C3711yescharacteristic
1344C2×C4⋊C4C23×C3711yescharacteristic
1345C2×C22⋊C4—21no—
1346#107C23×C3711yescharacteristic
1347#107C23×C3711yescharacteristic
1348#107C23×C3711yescharacteristic
1349#107C23×C3711yescharacteristic
1350#106C23×C3711yescharacteristic
1351#106C23×C3711yescharacteristic
1352#106C23×C3711yescharacteristic
1353#106C23×C3711yescharacteristic
1354C4⋊C8C23×C3711yescharacteristic
1355C4⋊C8C23×C3711yescharacteristic
1356C4⋊C8C23×C3711yescharacteristic
1357C4⋊C8C23×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#103C23×C3711yescharacteristic
1376#103C23×C3711yescharacteristic
1377#103C23×C3711yescharacteristic
1378#103C23×C3711yescharacteristic
1379#103C23×C3711yescharacteristic
1380#103C23×C3711yescharacteristic
1381#103C23×C3711yescharacteristic
1382#103C23×C3711yescharacteristic
1383#103C23×C3711yescharacteristic
1384#102C23×C3711yescharacteristic
1385#102C23×C3711yescharacteristic
1386#102C23×C3711yescharacteristic
1387#102C23×C3711yescharacteristic
1388#102C23×C3711yescharacteristic
1389#102C23×C3711yescharacteristic
1390C22⋊C8C23×C3711yescharacteristic
1391C22⋊C8C23×C3711yescharacteristic
1392C22⋊C8C23×C3711yescharacteristic
1393C22⋊C8C23×C3711yescharacteristic
1394C22⋊C8C23×C3711yescharacteristic
1395C22⋊C8C23×C3711yescharacteristic
1396C22⋊C8C23×C3711yescharacteristic
1397C22⋊C8C23×C3711yescharacteristic
1398C22⋊C8C23×C3711yescharacteristic
1399C22⋊C8C23×C3711yescharacteristic
1400C22⋊C8C23×C3711yescharacteristic
1401C22⋊C8C23×C3711yescharacteristic
1402#97C23×C3711yescharacteristic
1403#97C23×C3711yescharacteristic
1404C4×C8C23×C3711yescharacteristic
1405C4×C8C23×C3711yescharacteristic
1406C24C2×D4×C3711yescharacteristic
1407#41—22no—
1408#41—22no—
1409#41—41no—
1410#41—41no—
1411#41—41no—
1412#41—41no—
1413#41—41no—
1414#41—41no—
1415#41—44no—
1416#41—44no—
1417#41—41no—
1418#41—41no—
1419#41—41no—
1420#41—41no—
1421#41—44no—
1422C2×Q8—22no—
1423C2×Q8—22no—
1424C2×Q8—21no—
1425C2×Q8—21no—
1426C2×Q8—21no—
1427C2×Q8—21no—
1428C2×Q8—21no—
1429C2×Q8—21no—
1430C2×Q8—21no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—22no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—22no—
1439C2×Q8—22no—
1440C2×Q8—22no—
1441C2×Q8—41no—
1442C2×Q8—41no—
1443C2×Q8—41no—
1444C2×Q8—41no—
1445C2×Q8—41no—
1446C2×Q8—41no—
1447C2×Q8—41no—
1448C2×Q8—41no—
1449C2×Q8—44no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—44no—
1455C2×Q8—44no—
1456C2×Q8—44no—
1457C2×Q8C2×D4×C3711yescharacteristic
1458C2×Q8C24×C3711yescharacteristic
1459C2×Q8C24×C3711yescharacteristic
1460C2×Q8C24×C3711yescharacteristic
1461C2×Q8C24×C3711yescharacteristic
1462C2×Q8C24×C3711yescharacteristic
1463C2×Q8C24×C3711yescharacteristic
1464C2×Q8C24×C3711yescharacteristic
1465C2×Q8C24×C3711yescharacteristic
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—21no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4C2×D4×C3711yescharacteristic
1477C2×D4C2×D4×C3711yescharacteristic
1478C2×D4C2×D4×C3711yescharacteristic
1479C2×D4C2×D4×C3711yescharacteristic
1480C2×D4C2×D4×C3711yescharacteristic
1481C2×D4C2×D4×C3711yescharacteristic
1482C2×D4C2×D4×C3711yescharacteristic
1483C2×D4C24×C3711yescharacteristic
1484C2×D4C24×C3711yescharacteristic
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—21no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—44no—
1506C22×C4C2×D4×C3711yescharacteristic
1507C22×C4C2×D4×C3711yescharacteristic
1508C22×C4C2×D4×C3711yescharacteristic
1509C22×C4C24×C3711yescharacteristic
1510C22×C4C24×C3711yescharacteristic
1511C22×C4C24×C3711yescharacteristic
1512C22×C4C24×C3711yescharacteristic
1513C22×C4C24×C3711yescharacteristic
1514Q16—22no—
1515Q16—22no—
1516Q16—22no—
1517Q16—22no—
1518Q16—22no—
1519Q16—22no—
1520Q16—41no—
1521Q16—41no—
1522Q16—41no—
1523Q16—41no—
1524Q16—41no—
1525Q16—41no—
1526Q16—41no—
1527Q16—41no—
1528Q16—41no—
1529SD16—22no—
1530SD16—22no—
1531SD16—41no—
1532SD16—41no—
1533SD16—41no—
1534SD16—41no—
1535SD16—41no—
1536SD16—41no—
1537D8—41no—
1538M16—41no—
1539M16—41no—
1540M16—41no—
1541M16—41no—
1542C2×C8—41no—
1543C2×C8—41no—
1544C2×C8—41no—
1545C2×C8—41no—
1546C2×C8C24×C3711yescharacteristic
1547C2×C8C24×C3711yescharacteristic
1548C2×C8C24×C3711yescharacteristic
1549C2×C8C24×C3711yescharacteristic
1550C2×C8C24×C3711yescharacteristic
1551C2×C8C24×C3711yescharacteristic
1552C2×C8C24×C3711yescharacteristic
1553C2×C8C24×C3711yescharacteristic
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⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4C2×D4×C3711yescharacteristic
1588C4⋊C4C2×D4×C3711yescharacteristic
1589C4⋊C4C2×D4×C3711yescharacteristic
1590C4⋊C4C2×D4×C3711yescharacteristic
1591C4⋊C4C2×D4×C3711yescharacteristic
1592C4⋊C4C2×D4×C3711yescharacteristic
1593C4⋊C4C24×C3711yescharacteristic
1594C4⋊C4C24×C3711yescharacteristic
1595C4⋊C4C24×C3711yescharacteristic
1596C4⋊C4C24×C3711yescharacteristic
1597C4⋊C4C24×C3711yescharacteristic
1598C4⋊C4C24×C3711yescharacteristic
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⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4C2×D4×C3711yescharacteristic
1630C22⋊C4C2×D4×C3711yescharacteristic
1631C22⋊C4C2×D4×C3711yescharacteristic
1632C22⋊C4C2×D4×C3711yescharacteristic
1633C22⋊C4C2×D4×C3711yescharacteristic
1634C22⋊C4C2×D4×C3711yescharacteristic
1635C22⋊C4C2×D4×C3711yescharacteristic
1636C22⋊C4C2×D4×C3711yescharacteristic
1637C22⋊C4C2×D4×C3711yescharacteristic
1638C22⋊C4C2×D4×C3711yescharacteristic
1639C42—21no—
1640C42—21no—
1641C42—21no—
1642C42—21no—
1643C42—21no—
1644C42—21no—
1645C42—21no—
1646C42—21no—
1647C42—21no—
1648C42—21no—
1649C42C24×C3711yescharacteristic
1650C42C24×C3711yescharacteristic
1651C23—22no—
1652C23—21no—
1653C23—21no—
1654C23—41no—
1655C23—41no—
1656C23C22×D4×C3711yescharacteristic
1657C23C22×D4×C3711yescharacteristic
1658C23C22×D4×C3711yescharacteristic
1659C23C22×D4×C3711yescharacteristic
1660C23C22×D4×C3711yescharacteristic
1661Q8—24no—
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—21no—
1673Q8—21no—
1674Q8—21no—
1675Q8—21no—
1676Q8—41no—
1677Q8—42no—
1678Q8—42no—
1679Q8—42no—
1680Q8—42no—
1681Q8—42no—
1682Q8—42no—
1683Q8—42no—
1684Q8—81no—
1685Q8—81no—
1686Q8—81no—
1687Q8H(5,𝔽2)×C3712yes—
1688Q8H(5,𝔽2)×C3712yes—
1689D4—22no—
1690D4—22no—
1691D4—21no—
1692D4—21no—
1693D4—21no—
1694D4—21no—
1695D4—41no—
1696D4—41no—
1697D4—41no—
1698D4—41no—
1699D4—41no—
1700D4—42no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—42no—
1705D4—42no—
1706D4—81no—
1707D4—81no—
1708D4—81no—
1709D4—81no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
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—21no—
1734C2×C4—21no—
1735C2×C4—41no—
1736C2×C4—41no—
1737C2×C4—41no—
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×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
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×C4C22×D4×C3711yescharacteristic
1762C2×C4C22×D4×C3711yescharacteristic
1763C2×C4C22×D4×C3711yescharacteristic
1764C2×C4C25×C3711yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C8—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—21no—
1786C22—21no—
1787C22—44no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22C37×#57812yes—
1795C22C23×D4×C3711yescharacteristic
1796C4—22no—
1797C4—22no—
1798C4—21no—
1799C4—21no—
1800C4—21no—
1801C4—21no—
1802C4—21no—
1803C4—21no—
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4C2×H(5,𝔽2)×C3711yescharacteristic
1820C4C2×H(5,𝔽2)×C3711yescharacteristic
1821C2—22no—
1822C2—41no—
1823C2—41no—
1824C2—41no—
1825C2—41no—
1826C2—81no—
1827C2—81no—
1828C2C37×#348411yescharacteristic
1829C2C2×C37×#57811yescharacteristic
1830C2C37×#358611yescharacteristic
subgroupG/H
center, socleC22×C37C23×D4
commutator, Frattini, cosocleC2×C4C25×C37
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C37 ◁ C37×#525 ◁ G

Complements

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

NH ≅ G/Ntype
1. C37×#3541C2semidirect
2. C37×#3486C2semidirect
3. C37×#3328C2semidirect
4. C37×#3327C2semidirect
5. C37×#3320C2semidirect
6. C37×#3316C2semidirect
7. C37×#3313C2semidirect
8. C37×#3312C2semidirect
9. C37×#3301C2semidirect
10. C37×#3299C2semidirect
11. D4×Q16×C37C2semidirect
12. C37×#3285C2semidirect
13. C37×#3277C2semidirect
14. C37×#3276C2semidirect
15. C37×#3270C2semidirect
16. C37×#3270C2semidirect
17. C37×#3270C2semidirect
18. C37×#3269C2semidirect
19. C37×#3225C2semidirect
20. C37×#3223C2semidirect
21. C37×#3202C2semidirect
22. C37×#3201C2semidirect
23. C37×#3196C2semidirect
24. C37×#3191C2semidirect
25. C37×#3127C2semidirect
26. C37×#3121C2semidirect
27. C37×#3013C2semidirect
28. C37×#3011C2semidirect
29. C37×#3004C2semidirect
30. C2×C37×#451C2semidirect
31. C37×#2976C2semidirect
36. C2×#137×C37C22semidirect
37. C2×#137×C37C22semidirect
38. C2×#135×C37C22semidirect
41. C22×Q16×C37C22semidirect
85. C37×#497C22semidirect
86. C37×#497C22semidirect
87. C37×#495C22semidirect
88. C37×#494C22semidirect
89. C37×#491C22semidirect
90. C37×#489C22semidirect
91. C37×#488C22semidirect
92. C37×#487C22semidirect
97. C37×#485C22semidirect
98. C37×#485C22semidirect
100. C37×#484C22semidirect
101. C37×#483C22semidirect
105. C37×#479C22semidirect
106. C37×#479C22semidirect
107. C37×#477C22semidirect
108. C37×#475C22semidirect
111. C37×#470C22semidirect
112. C37×#470C22semidirect
113. C37×#470C22semidirect
116. C37×#468C22semidirect
118. C37×#467C22semidirect
119. C37×#467C22semidirect
120. C37×#467C22semidirect
124. C37×#465C22semidirect
125. C37×#464C22semidirect
126. C37×#464C22semidirect
127. C37×#464C22semidirect
128. C37×#464C22semidirect
129. C37×#464C22semidirect
130. C37×#463C22semidirect
131. C37×#462C22semidirect
132. C37×#462C22semidirect
133. C37×#462C22semidirect
134. C37×#462C22semidirect
135. C37×#462C22semidirect
136. C37×#461C22semidirect
141. C37×#452C22semidirect
142. C37×#452C22semidirect
143. C37×#452C22semidirect
144. C37×#452C22semidirect
145. C37×#452C22semidirect
159. C37×#451C22semidirect
160. C37×#451C22semidirect
161. C37×#451C22semidirect
162. C37×#451C22semidirect
163. C37×#451C22semidirect
166. C37×#449C22semidirect
172. C37×#448C22semidirect
173. C37×#441C22semidirect
174. C37×#441C22semidirect
175. C37×#441C22semidirect
176. C37×#440C22semidirect
177. C4×Q16×C37C22semidirect
178. C4×Q16×C37C22semidirect
179. C4×Q16×C37C22semidirect
180. C4×SD16×C37C22semidirect
193. C37×#419C22semidirect
194. C37×#417C22semidirect
195. C37×#416C22semidirect
198. C2×#103×C37C22semidirect
857. #61612C37direct (N × H)
906. #3541C2×C37semidirect
907. #3486C2×C37semidirect
908. #3328C2×C37semidirect
909. #3327C2×C37semidirect
910. #3320C2×C37semidirect
911. #3316C2×C37semidirect
912. #3313C2×C37semidirect
913. #3312C2×C37semidirect
914. #3301C2×C37semidirect
915. #3299C2×C37semidirect
916. D4×Q16C2×C37semidirect
917. #3285C2×C37semidirect
918. #3277C2×C37semidirect
919. #3276C2×C37semidirect
920. #3270C2×C37semidirect
921. #3270C2×C37semidirect
922. #3270C2×C37semidirect
923. #3269C2×C37semidirect
924. #3225C2×C37semidirect
925. #3223C2×C37semidirect
926. #3202C2×C37semidirect
927. #3201C2×C37semidirect
928. #3196C2×C37semidirect
929. #3191C2×C37semidirect
930. #3127C2×C37semidirect
931. #3121C2×C37semidirect
932. #3013C2×C37semidirect
933. #3011C2×C37semidirect
934. #3004C2×C37semidirect
935. C2×#451C2×C37semidirect
936. #2976C2×C37semidirect
951. C2×#137C22×C37semidirect
952. C2×#137C22×C37semidirect
953. C2×#135C22×C37semidirect
956. C22×Q16C22×C37semidirect
1000. #497C22×C37semidirect
1001. #497C22×C37semidirect
1002. #495C22×C37semidirect
1003. #494C22×C37semidirect
1004. #491C22×C37semidirect
1005. #489C22×C37semidirect
1006. #488C22×C37semidirect
1007. #487C22×C37semidirect
1012. #485C22×C37semidirect
1013. #485C22×C37semidirect
1015. #484C22×C37semidirect
1016. #483C22×C37semidirect
1020. #479C22×C37semidirect
1021. #479C22×C37semidirect
1022. #477C22×C37semidirect
1023. #475C22×C37semidirect
1026. #470C22×C37semidirect
1027. #470C22×C37semidirect
1028. #470C22×C37semidirect
1031. #468C22×C37semidirect
1033. #467C22×C37semidirect
1034. #467C22×C37semidirect
1035. #467C22×C37semidirect
1039. #465C22×C37semidirect
1040. #464C22×C37semidirect
1041. #464C22×C37semidirect
1042. #464C22×C37semidirect
1043. #464C22×C37semidirect
1044. #464C22×C37semidirect
1045. #463C22×C37semidirect
1046. #462C22×C37semidirect
1047. #462C22×C37semidirect
1048. #462C22×C37semidirect
1049. #462C22×C37semidirect
1050. #462C22×C37semidirect
1051. #461C22×C37semidirect
1056. #452C22×C37semidirect
1057. #452C22×C37semidirect
1058. #452C22×C37semidirect
1059. #452C22×C37semidirect
1060. #452C22×C37semidirect
1074. #451C22×C37semidirect
1075. #451C22×C37semidirect
1076. #451C22×C37semidirect
1077. #451C22×C37semidirect
1078. #451C22×C37semidirect
1081. #449C22×C37semidirect
1087. #448C22×C37semidirect
1088. #441C22×C37semidirect
1089. #441C22×C37semidirect
1090. #441C22×C37semidirect
1091. #440C22×C37semidirect
1092. C4×Q16C22×C37semidirect
1093. C4×Q16C22×C37semidirect
1094. C4×Q16C22×C37semidirect
1095. C4×SD16C22×C37semidirect
1108. #419C22×C37semidirect
1109. #417C22×C37semidirect
1110. #416C22×C37semidirect
1113. C2×#103C22×C37semidirect
1118. C37#61612direct (N × H)

Maximal subgroups

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

subgroupindex
C37×#35412
C37×#34862
C37×#33282
C37×#33272
C37×#33202
C37×#33162
C37×#33132
C37×#33122
C37×#33012
C37×#32992
D4×Q16×C372
C37×#32852
C37×#32772
C37×#32762
C37×#32702
C37×#32692
C37×#32252
C37×#32232
C37×#32022
C37×#32012
C37×#31962
C37×#31912
C37×#31272
C37×#31212
C37×#30132
C37×#30112
C37×#30042
C2×C37×#4512
C37×#29762
#6161237