Finite Group Databasebeta

← #30573658

Subgroups — #30573658

Order 15616.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460337C211yesmaximal, characteristic, complemented
2#21459898C211yesmaximal, characteristic, complemented
3#21458907C211yesmaximal, characteristic, complemented
4#21458902C211yesmaximal, characteristic, complemented
5#21458637C211yesmaximal, characteristic, complemented
6#21458628C211yesmaximal, characteristic, complemented
7#21457901C211yesmaximal, characteristic, complemented
8#21457896C211yesmaximal, characteristic, complemented
9#21457817C211yesmaximal, characteristic, complemented
10#21457811C211yesmaximal, characteristic, complemented
11#21457635C211yesmaximal, characteristic, complemented
12#21457628C211yesmaximal, characteristic, complemented
13#21457555C211yesmaximal, characteristic, complemented
14#21457554C211yesmaximal, characteristic, complemented
15#21457359C211yesmaximal, characteristic, complemented
16#21457353C211yesmaximal, characteristic, complemented
17#21457309C211yesmaximal, characteristic, complemented
18#21457308C211yesmaximal, characteristic, complemented
19#21457280C211yesmaximal, characteristic, complemented
20#21457277C211yesmaximal, characteristic, complemented
21#21457127C211yesmaximal, characteristic, complemented
22#21456913C211yesmaximal, characteristic, complemented
23#21456910C211yesmaximal, characteristic, complemented
24#21456804C211yesmaximal, characteristic, complemented
25#21456081C211yesmaximal, characteristic, complemented
26#21456080C211yesmaximal, characteristic, complemented
27#21455940C211yesmaximal, characteristic, complemented
28#21455355C211yesmaximal, characteristic, complemented
29#464×D61C211yesmaximal, characteristic, complemented
30#21454956C211yesmaximal, characteristic, complemented
31C61×#3045C211yesmaximal, characteristic, complemented
32C2×#14519804C2211yescharacteristic, complemented
33C2×#14519798C2211yescharacteristic, complemented
34C2×Q16×D61C2211yescharacteristic, complemented
35C2×SD16×D61C2211yescharacteristic
36#16840507—21no—
37#16840505—21no—
38#16840498C2211yescharacteristic
39#16840495—21no—
40#16840495C2211yescharacteristic, complemented
41#16840494C2211yescharacteristic
42Q8×Dic122C2211yescharacteristic, complemented
43#16840467—21no—
44#16840467C2211yescharacteristic, complemented
45#16840431C2211yescharacteristic, complemented
46#16840424C2211yescharacteristic, complemented
47#16840420C2211yescharacteristic
48#16840419C2211yescharacteristic
49#16840419C2211yescharacteristic, complemented
50#16840417—21no—
51#16840417C2211yescharacteristic, complemented
52#16840413—21no—
53#16840413C2211yescharacteristic, complemented
54#16840406C2211yescharacteristic
55#16840401—21no—
56#16840400C2211yescharacteristic
57#16840399—21no—
58#16840397C2211yescharacteristic
59D4×C22⋊D61C2211yescharacteristic
60#16840383—21no—
61#16840383C2211yescharacteristic
62#16840383C2211yescharacteristic, complemented
63#16840381C2211yescharacteristic
64#16840377—21no—
65#16840377C2211yescharacteristic, complemented
66#16840349—21no—
67#16840347—21no—
68#16840344—21no—
69#16840325C2211yescharacteristic
70#16840322—21no—
71#16840310C2211yescharacteristic
72#16840309—21no—
73#16840309C2211yescharacteristic, complemented
74#16840290—21no—
75#16840290C2211yescharacteristic
76#124×D61C2211yescharacteristic
77#16840244C2211yescharacteristic, complemented
78C4×Q8×D61C2211yescharacteristic, complemented
79#16840150C2211yescharacteristic
80#16840150C2211yescharacteristic, complemented
81#16840149C2211yescharacteristic
82#16840148C2211yescharacteristic, complemented
83#16840145C2211yescharacteristic, complemented
84#16840144C2211yescharacteristic, complemented
85#16840123C2211yescharacteristic, complemented
86#16840121C2211yescharacteristic, complemented
87#16840120C2211yescharacteristic, complemented
88#16840120C2211yescharacteristic, complemented
89#16840108C2211yescharacteristic
90#16840107C2211yescharacteristic
91#16840097C2211yescharacteristic, complemented
92#16840096C2211yescharacteristic, complemented
93#16840075C2211yescharacteristic
94#16840074C2211yescharacteristic
95#16840074C2211yescharacteristic, complemented
96#16840074C2211yescharacteristic, complemented
97#16840058C2211yescharacteristic, complemented
98#16840058C2211yescharacteristic, complemented
99#16840057C2211yescharacteristic, complemented
100#16840055C2211yescharacteristic, complemented
101#16840043C2211yescharacteristic, complemented
102#16840043C2211yescharacteristic, complemented
103#16840042C2211yescharacteristic, complemented
104#16840040C2211yescharacteristic, complemented
105#16840040C2211yescharacteristic, complemented
106#16840040C2211yescharacteristic, complemented
107#16840008C2211yescharacteristic
108#16840008C2211yescharacteristic, complemented
109#16840007C2211yescharacteristic
110#16840005C2211yescharacteristic, complemented
111#16840003C2211yescharacteristic, complemented
112#16840002C2211yescharacteristic, complemented
113#16839998C2211yescharacteristic
114#16839997C2211yescharacteristic, complemented
115#16839997C2211yescharacteristic, complemented
116#16839995C2211yescharacteristic
117#16839995C2211yescharacteristic, complemented
118#16839995C2211yescharacteristic, complemented
119#16839987C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic, complemented
121#16839985C2211yescharacteristic, complemented
122#16839985C2211yescharacteristic, complemented
123#16839984C2211yescharacteristic, complemented
124#16839983C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839982C2211yescharacteristic, complemented
127#16839982C2211yescharacteristic, complemented
128#16839981C2211yescharacteristic, complemented
129#16839978C2211yescharacteristic, complemented
130#16839978C2211yescharacteristic, complemented
131#16839977C2211yescharacteristic, complemented
132#16839976C2211yescharacteristic, complemented
133#16839975C2211yescharacteristic, complemented
134#16839974C2211yescharacteristic, complemented
135#16839960C2211yescharacteristic
136#16839959C2211yescharacteristic, complemented
137#16839956C2211yescharacteristic
138#16839955C2211yescharacteristic, complemented
139#16839955C2211yescharacteristic, complemented
140#16839954C2211yescharacteristic, complemented
141#16839925C2211yescharacteristic, complemented
142#16839924C2211yescharacteristic, complemented
143#16839924C2211yescharacteristic, complemented
144#16839923C2211yescharacteristic, complemented
145#16839914C2211yescharacteristic, complemented
146#16839913C2211yescharacteristic, complemented
147#16839907C2211yescharacteristic
148#16839907C2211yescharacteristic, complemented
149#16839906C2211yescharacteristic
150#16839904C2211yescharacteristic, complemented
151#16839902C2211yescharacteristic, complemented
152#16839899C2211yescharacteristic, complemented
153#16839899C2211yescharacteristic, complemented
154#16839899C2211yescharacteristic, complemented
155#16839897C2211yescharacteristic
156#16839896C2211yescharacteristic, complemented
157#16839894C2211yescharacteristic
158#16839894C2211yescharacteristic, complemented
159#16839891C2211yescharacteristic, complemented
160#16839889C2211yescharacteristic, complemented
161#16839865C2211yescharacteristic, complemented
162#16839863C2211yescharacteristic, complemented
163#16839863C2211yescharacteristic, complemented
164#16839863C2211yescharacteristic, complemented
165#16839862C2211yescharacteristic, complemented
166#16839860C2211yescharacteristic, complemented
167#16839859C2211yescharacteristic, complemented
168#16839859C2211yescharacteristic, complemented
169Q16×Dic61C2211yescharacteristic, complemented
170C4×#11758202C2211yescharacteristic, complemented
171C4×#11758199C2211yescharacteristic, complemented
172#16839842C2211yescharacteristic, complemented
173#16839833C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic, complemented
175#16839831C2211yescharacteristic, complemented
176#16839831C2211yescharacteristic, complemented
177#16839827C2211yescharacteristic, complemented
178C8×C22⋊D61C2211yescharacteristic, complemented
179#16839823C2211yescharacteristic, complemented
180#16839822C2211yescharacteristic, complemented
181#16839818C2211yescharacteristic, complemented
182#16839787C2211yescharacteristic, complemented
183C4⋊C8×D61C2211yescharacteristic, complemented
184#16839760C2211yescharacteristic, complemented
185#103×D61C2211yescharacteristic, complemented
186#102×D61C2211yescharacteristic
187#102×D61C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#535C2211yescharacteristic
191C61×#520C2211yescharacteristic, complemented
192C61×#464C2211yescharacteristic, complemented
193C61×#464C2211yescharacteristic, complemented
194C61×#463C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#460C2211yescharacteristic, complemented
198C61×#459C2211yescharacteristic
199C61×#459C2211yescharacteristic, complemented
200C61×#424C2211yescharacteristic, complemented
201C61×#417C2211yescharacteristic, complemented
202C2×#102×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222—21no—
205C2×#11758222—21no—
206C2×#11758222—21no—
207C2×#11758224—21no—
208C2×#11758224C2311yescharacteristic
209C2×Q8×D61C2311yescharacteristic
210C2×Q8×D61C2311yescharacteristic
211C22×C22⋊D61—21no—
212C2×D4×D61—21no—
213C2×D4×D61C2311yescharacteristic
214C2×D4×D61C2311yescharacteristic
215#14519804—42no—
216#14519798—42no—
217C2×Dic244C2311yescharacteristic
218C2×#11758202C2311yescharacteristic
219C2×#11758202C2311yescharacteristic
220Q16×D61—42no—
221C2×#11758190C2311yescharacteristic
222C2×#11758190C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×#11758200C2311yescharacteristic
225C2×#11758200C2311yescharacteristic
226C2×#11758200C2311yescharacteristic
227C2×#11758201C2311yescharacteristic
228C2×#11758201C2311yescharacteristic
229SD16×D61—42no—
230C2×D488C2311yescharacteristic
231C2×#11758199C2311yescharacteristic
232C2×#11758199C2311yescharacteristic
233C2×#11758199C2311yescharacteristic
234C2×#11758199C2311yescharacteristic
235C2×#11758189C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777—21no—
240#14519777C2311yescharacteristic
241#14519777C2311yescharacteristic
242#14519776—21no—
243#14519776—21no—
244#14519776C2311yescharacteristic
245#14519776C2311yescharacteristic
246#14519773—21no—
247#14519773C2311yescharacteristic
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519772D411yescharacteristic
252#14519770—21no—
253#14519770—21no—
254#14519770D411yescharacteristic
255#14519767—21no—
256#14519767D411yescharacteristic
257#14519766C2311yescharacteristic
258#14519765—21no—
259#14519765C2311yescharacteristic
260#14519765C2311yescharacteristic
261#14519764—21no—
262#14519764—21no—
263#14519764—21no—
264#14519764—21no—
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519764C2311yescharacteristic
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763D411yescharacteristic
279#14519762—21no—
280#14519762D411yescharacteristic
281#14519761—21no—
282#14519761—21no—
283#14519760—21no—
284#14519760—21no—
285#14519760—21no—
286#14519760—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519759—21no—
293#14519759D411yescharacteristic
294#14519758—21no—
295#14519758—21no—
296#14519758—21no—
297#14519757—21no—
298#14519757C2311yescharacteristic
299#14519756—21no—
300#14519756—21no—
301#14519756—21no—
302#14519756—21no—
303#14519756—21no—
304#14519756C2311yescharacteristic
305#14519756C2311yescharacteristic
306#14519755—21no—
307#14519755—21no—
308#14519755—21no—
309#14519755—21no—
310#14519755D411yescharacteristic
311#14519754—21no—
312#14519754—21no—
313#14519753C2311yescharacteristic
314#14519752—21no—
315#14519752C2311yescharacteristic
316#14519751—21no—
317#14519751C2311yescharacteristic
318#14519751C2311yescharacteristic
319#14519750—21no—
320#14519750—21no—
321#14519750D411yescharacteristic
322#14519749—21no—
323#14519749—21no—
324#14519749—21no—
325#14519749—21no—
326#14519749—21no—
327#14519748—21no—
328#14519748—21no—
329#14519748—21no—
330#14519748—21no—
331#14519748—21no—
332#14519748C2311yescharacteristic
333#14519748C2311yescharacteristic
334#14519748C2311yescharacteristic
335#14519748C2311yescharacteristic
336#14519748C2311yescharacteristic
337#14519746—21no—
338#14519746—21no—
339#14519745—21no—
340#14519745—21no—
341#14519745—21no—
342#14519745—21no—
343#14519745—21no—
344#14519745—21no—
345Q8×Dic61C2311yescharacteristic
346Q8×Dic61C2311yescharacteristic
347Q8×Dic61C2311yescharacteristic
348C4×Dic122—21no—
349C4×Dic122—21no—
350C4×Dic122C2311yescharacteristic
351C4×Dic122C2311yescharacteristic
352C4×Dic122C2311yescharacteristic
353#14519742—21no—
354#14519742C2311yescharacteristic
355C4×D244—21no—
356C4×D244—21no—
357C4×D244C2311yescharacteristic
358C4×D244C2311yescharacteristic
359C4×D244C2311yescharacteristic
360D4×Dic61—21no—
361D4×Dic61—21no—
362D4×Dic61C2311yescharacteristic
363D4×Dic61C2311yescharacteristic
364D4×Dic61C2311yescharacteristic
365#14519739—21no—
366#14519739C2311yescharacteristic
367C4×C22⋊D61—21no—
368C4×C22⋊D61—21no—
369C4×C22⋊D61—21no—
370C4×C22⋊D61—21no—
371C4×C22⋊D61—21no—
372C4×C22⋊D61—21no—
373C4×C22⋊D61C2311yescharacteristic
374C4×C22⋊D61C2311yescharacteristic
375#14519737—21no—
376#14519737—21no—
377#14519734—21no—
378#14519734C2311yescharacteristic
379C4⋊C4×D61—21no—
380C4⋊C4×D61—21no—
381C4⋊C4×D61C2311yescharacteristic
382C4⋊C4×D61C2311yescharacteristic
383C2×C22⋊Dic61—21no—
384C2×#11758198—21no—
385C22⋊C4×D61—21no—
386C22⋊C4×D61—21no—
387C42×D61—21no—
388C42×D61C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519711C2311yescharacteristic
392#14519711C2311yescharacteristic
393#14519710C2311yescharacteristic
394#14519710C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427C22⋊#92418C2311yescharacteristic
428C22⋊#92418C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519689C2311yescharacteristic
432#14519689C2311yescharacteristic
433#14519688C2311yescharacteristic
434#14519687C2311yescharacteristic
435#14519687C2311yescharacteristic
436#14519687C2311yescharacteristic
437C4×#92418C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×#41×C61C2311yescharacteristic
441C22×D4×C61C2311yescharacteristic
442AGL(1,ℤ/8)×C61—42no—
443#135×C61—42no—
444C2×Q16×C61C2311yescharacteristic
445C2×SD16×C61C2311yescharacteristic
446C2×SD16×C61C2311yescharacteristic
447C2×SD16×C61C2311yescharacteristic
448C2×SD16×C61C2311yescharacteristic
449C2×D8×C61C2311yescharacteristic
450C2×D8×C61C2311yescharacteristic
451C2×D8×C61C2311yescharacteristic
452C2×M16×C61C2311yescharacteristic
453C22×C8×C61C2311yescharacteristic
454#127×C61C2311yescharacteristic
455#127×C61C2311yescharacteristic
456#124×C61C2311yescharacteristic
457#124×C61C2311yescharacteristic
458#121×C61—21no—
459#121×C61—21no—
460#120×C61—21no—
461#120×C61—21no—
462C4×Q8×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×D4×C61—21no—
465C4×D4×C61—21no—
466C4×D4×C61C2311yescharacteristic
467C4×D4×C61C2311yescharacteristic
468#117×C61—21no—
469#117×C61C2311yescharacteristic
470C2×C4⋊C4×C61—21no—
471C2×C4⋊C4×C61C2311yescharacteristic
472C4⋊C8×C61C2311yescharacteristic
473C4⋊C8×C61C2311yescharacteristic
474C4⋊C8×C61C2311yescharacteristic
475C4⋊C8×C61C2311yescharacteristic
476#103×C61C2311yescharacteristic
477#103×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484C24×C61—21no—
485C23×D61—21no—
486C23×D61—21no—
487#41×C61—22no—
488#41×C61—41no—
489#41×C61—41no—
490#41×C61—41no—
491C2×Q8×C61C2411yescharacteristic
492C2×Q8×C61C2411yescharacteristic
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61—21no—
496C2×D4×C61—21no—
497C2×D4×C61—21no—
498C2×D4×C61—21no—
499C2×D4×C61—21no—
500C2×D4×C61—41no—
501C2×D4×C61—41no—
502C2×D4×C61C2411yescharacteristic
503C2×D4×C61C2411yescharacteristic
504C2×D4×C61C2411yescharacteristic
505C2×D4×C61C2411yescharacteristic
506C22×C4×C61—21no—
507C22×C4×C61—21no—
508C22×C4×C61—21no—
509C22×C4×C61—21no—
510C22×C4×C61—21no—
511C22×C4×C61C2411yescharacteristic
512C2×C22⋊D61—21no—
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—82no—
527C2×C22⋊D61C2×D411yescharacteristic
528C2×C22⋊D61C2×D411yescharacteristic
529C22×Dic61—21no—
530C22×Dic61—21no—
531C22×Dic61—21no—
532C22×Dic61—21no—
533#11758226—22no—
534#11758226—41no—
535Q8×D61—22no—
536Q8×D61—41no—
537Q8×D61—41no—
538Q8×D61—41no—
539#11758224—41no—
540#11758224—41no—
541#11758224—82no—
542D4×D61—41no—
543D4×D61—41no—
544D4×D61—41no—
545D4×D61—41no—
546D4×D61—82no—
547#11758222—82no—
548#11758222—82no—
549#11758222—82no—
550C2×D244—21no—
551C2×D244—21no—
552C2×D244C2×D411yescharacteristic
553C2×D244C2411yescharacteristic
554C2×D244C2411yescharacteristic
555C2×C4×D61—21no—
556C2×C4×D61—21no—
557C2×C4×D61—21no—
558C2×C4×D61—21no—
559C2×C4×D61—21no—
560C2×C4×D61—21no—
561C2×C4×D61—21no—
562C2×C4×D61—21no—
563C2×C4×D61C2×D411yescharacteristic
564C2×C4×D61C2×D411yescharacteristic
565C2×C4×D61C2411yescharacteristic
566C2×C4×D61C2411yescharacteristic
567C2×Dic122—21no—
568C2×Dic122—21no—
569C2×Dic122—21no—
570C2×Dic122—21no—
571C2×Dic122—21no—
572C2×Dic122—21no—
573C2×Dic122C2×D411yescharacteristic
574C2×Dic122C2411yescharacteristic
575C2×Dic122C2411yescharacteristic
576Q16×C61—22no—
577SD16×C61—22no—
578SD16×C61—22no—
579SD16×C61—22no—
580SD16×C61—41no—
581D8×C61—41no—
582D8×C61—41no—
583D8×C61—41no—
584M16×C61—41no—
585C2×C8×C61—41no—
586C2×C8×C61C2411yescharacteristic
587C2×C8×C61C2411yescharacteristic
588C2×C8×C61C2411yescharacteristic
589C2×C8×C61C2411yescharacteristic
590C4⋊C4×C61—21no—
591C4⋊C4×C61—21no—
592C4⋊C4×C61—21no—
593C4⋊C4×C61C2×D411yescharacteristic
594C4⋊C4×C61C2×D411yescharacteristic
595C4⋊C4×C61C2411yescharacteristic
596C4⋊C4×C61C2411yescharacteristic
597C22⋊C4×C61—21no—
598C22⋊C4×C61—21no—
599C22⋊C4×C61—21no—
600C22⋊C4×C61—21no—
601C22⋊C4×C61—21no—
602C22⋊C4×C61—21no—
603C22⋊C4×C61C2×D411yescharacteristic
604C22⋊C4×C61C2×D411yescharacteristic
605C42×C61—21no—
606C42×C61—21no—
607C42×C61C2411yescharacteristic
608C42×C61C2411yescharacteristic
609C22⋊Dic61—21no—
610C22⋊Dic61—21no—
611C22⋊Dic61—21no—
612C22⋊Dic61—21no—
613C22⋊Dic61—21no—
614C22⋊Dic61—21no—
615C22⋊Dic61—21no—
616C22⋊Dic61—21no—
617C22⋊Dic61—21no—
618C22⋊Dic61—21no—
619C22⋊Dic61—21no—
620C22⋊Dic61—21no—
621C22⋊Dic61—21no—
622C22⋊Dic61—21no—
623C22⋊Dic61—21no—
624C22⋊Dic61—21no—
625C22⋊Dic61C2×D411yescharacteristic
626C22⋊Dic61C2×D411yescharacteristic
627#11758202—22no—
628#11758202—41no—
629#11758201—22no—
630#11758201—41no—
631#11758200—41no—
632#11758200—41no—
633#11758200—41no—
634#11758200—41no—
635#11758199—41no—
636#11758199—41no—
637#11758199—41no—
638#11758199—41no—
639#11758198—21no—
640#11758198—21no—
641#11758198—21no—
642#11758198—21no—
643#11758198—21no—
644#11758198—21no—
645#11758198—21no—
646#11758198—21no—
647#11758198—21no—
648#11758198—21no—
649#11758198—21no—
650#11758198—21no—
651#11758198—21no—
652#11758198—21no—
653#11758198C2×D411yescharacteristic
654#11758198C2×D411yescharacteristic
655#11758198C2×D411yescharacteristic
656#11758198C2×D411yescharacteristic
657#11758198C2×D411yescharacteristic
658#11758198C2×D411yescharacteristic
659C4⋊Dic61—21no—
660C4⋊Dic61—21no—
661C4⋊Dic61—21no—
662C4⋊Dic61—21no—
663C4⋊Dic61—21no—
664C4⋊Dic61—21no—
665C4⋊Dic61C2×D411yescharacteristic
666C4⋊Dic61C2×D411yescharacteristic
667C4⋊Dic61C2411yescharacteristic
668C4⋊Dic61C2411yescharacteristic
669C4⋊Dic61C2411yescharacteristic
670C4⋊Dic61C2411yescharacteristic
671#11758196—21no—
672#11758196—21no—
673#11758196—21no—
674#11758196—21no—
675#11758196—21no—
676#11758196—21no—
677#11758196—21no—
678#11758196—21no—
679#11758196—21no—
680#11758196—21no—
681#11758196C2×D411yescharacteristic
682#11758196C2×D411yescharacteristic
683#11758196C2×D411yescharacteristic
684#11758196C2×D411yescharacteristic
685#11758196C2×D411yescharacteristic
686#11758196C2×D411yescharacteristic
687C4×Dic61—21no—
688C4×Dic61—21no—
689C4×Dic61—21no—
690C4×Dic61—21no—
691C4×Dic61—21no—
692C4×Dic61—21no—
693C4×Dic61C2×D411yescharacteristic
694C4×Dic61C2×D411yescharacteristic
695C4×Dic61C2411yescharacteristic
696C4×Dic61C2411yescharacteristic
697C2×#92418C2411yescharacteristic
698C2×#92418C2411yescharacteristic
699C2×#92418C2411yescharacteristic
700C2×#92418C2411yescharacteristic
701Dic244—41no—
702D488—41no—
703#11758190—41no—
704#11758190—41no—
705#11758189—41no—
706C8×D61—41no—
707C8×D61—41no—
708C8×D61—41no—
709C23×C61—21no—
710C23×C61—21no—
711C23×C61—21no—
712C23×C61—21no—
713C23×C61—81no—
714C23×C61—81no—
715C23×C61—81no—
716C23×C61C22×D411yescharacteristic
717C22×D61—21no—
718C22×D61—21no—
719C22×D61—42no—
720C22×D61—81no—
721C22×D61—81no—
722C22×D61—81no—
723C22×D61—81no—
724C22×D61—81no—
725C22×D61C22×D411yescharacteristic
726C22×D61C22×D411yescharacteristic
727Q8×C61—21no—
728Q8×C61—21no—
729Q8×C61—21no—
730Q8×C61H(5,𝔽2)12yes—
731D4×C61—21no—
732D4×C61—21no—
733D4×C61—21no—
734D4×C61—21no—
735D4×C61—21no—
736D4×C61—21no—
737D4×C61—21no—
738D4×C61—21no—
739D4×C61—42no—
740D4×C61—81no—
741D4×C61—81no—
742D4×C61—81no—
743D4×C61—81no—
744D4×C61—81no—
745D4×C61—81no—
746C2×C4×C61—21no—
747C2×C4×C61—21no—
748C2×C4×C61—21no—
749C2×C4×C61—21no—
750C2×C4×C61—21no—
751C2×C4×C61—21no—
752C2×C4×C61—42no—
753C2×C4×C61—81no—
754C2×C4×C61—81no—
755C2×C4×C61—81no—
756C2×C4×C61—81no—
757C2×C4×C61C22×D411yescharacteristic
758C2×C4×C61C22×D411yescharacteristic
759C2×C4×C61C22×D411yescharacteristic
760C2×C4×C61C22×D411yescharacteristic
761C2×C4×C61C22×D411yescharacteristic
762C2×C4×C61C2511yescharacteristic
763C22⋊D61—22no—
764C22⋊D61—41no—
765C22⋊D61—42no—
766C22⋊D61—42no—
767C22⋊D61—42no—
768C22⋊D61—42no—
769C22⋊D61—81no—
770C22⋊D61—81no—
771C22⋊D61—81no—
772C22⋊D61—81no—
773C22⋊D61—81no—
774C22⋊D61—81no—
775C22⋊D61—81no—
776C22⋊D61—81no—
777C22⋊D61—81no—
778C22⋊D61—81no—
779C2×Dic61—21no—
780C2×Dic61—21no—
781C2×Dic61—21no—
782C2×Dic61—21no—
783C2×Dic61—21no—
784C2×Dic61—21no—
785C2×Dic61—81no—
786C2×Dic61—81no—
787C2×Dic61—81no—
788C2×Dic61—81no—
789C2×Dic61C22×D411yescharacteristic
790C2×Dic61C22×D411yescharacteristic
791C2×Dic61C22×D411yescharacteristic
792C2×Dic61C22×D411yescharacteristic
793C2×Dic61C22×D411yescharacteristic
794C2×Dic61C22×D411yescharacteristic
795D244—22no—
796D244—21no—
797D244—21no—
798D244—21no—
799D244—21no—
800D244—42no—
801D244—42no—
802C4×D61—22no—
803C4×D61—21no—
804C4×D61—21no—
805C4×D61—21no—
806C4×D61—21no—
807C4×D61—41no—
808C4×D61—42no—
809C4×D61—42no—
810C4×D61—42no—
811C4×D61—81no—
812C4×D61—81no—
813C4×D61—81no—
814C4×D61—81no—
815C4×D61—81no—
816Dic122—21no—
817Dic122—21no—
818Dic122—21no—
819Dic122—21no—
820Dic122—41no—
821Dic122—42no—
822Dic122—81no—
823Dic122—81no—
824Dic122—81no—
825Dic122—81no—
826Dic122—81no—
827C8×C61—21no—
828C8×C61—21no—
829C8×C61—21no—
830C8×C61—21no—
831#92418—21no—
832#92418—21no—
833#92418—21no—
834#92418—21no—
835#62022—611nomaximal, Sylow
836C22×C61—21no—
837C22×C61—21no—
838C22×C61—21no—
839C22×C61—41no—
840C22×C61—41no—
841C22×C61—41no—
842C22×C61—41no—
843C22×C61—41no—
844C22×C61—41no—
845C22×C61—41no—
846C22×C61—41no—
847C22×C61—41no—
848C22×C61—41no—
849C22×C61—41no—
850C22×C61—41no—
851C22×C61—162no—
852C22×C61C23×D411yescharacteristic
853C2×D61—21no—
854C2×D61—21no—
855C2×D61—21no—
856C2×D61—21no—
857C2×D61—21no—
858C2×D61—41no—
859C2×D61—41no—
860C2×D61—41no—
861C2×D61—41no—
862C2×D61—41no—
863C2×D61—41no—
864C2×D61—162no—
865C2×D61—162no—
866C2×D61#57612yes—
867C4×C61—21no—
868C4×C61—21no—
869C4×C61—22no—
870C4×C61—21no—
871C4×C61—21no—
872C4×C61—21no—
873C4×C61—41no—
874C4×C61—41no—
875C4×C61—41no—
876C4×C61C2×H(5,𝔽2)11yescharacteristic
877C4×C61#58511yescharacteristic
878Dic61—21no—
879Dic61—21no—
880Dic61—21no—
881Dic61—21no—
882Dic61—21no—
883Dic61—21no—
884Dic61—41no—
885Dic61—41no—
886Dic61—41no—
887Dic61—41no—
888Dic61—41no—
889Dic61—41no—
890#3558—611no—
891#3522—611no—
892#3403—611no—
893#3403—611no—
894#3375—611no—
895#3375—611no—
896#3314—611no—
897#3314—611no—
898#3308—611no—
899#3308—611no—
900#3294—611no—
901#3294—611no—
902#3285—611no—
903#3285—611no—
904#3268—611no—
905#3268—611no—
906#3265—611no—
907#3265—611no—
908#3262—611no—
909#3262—611no—
910#3245—611no—
911#3224—611no—
912#3224—611no—
913#3213—611no—
914#3124—611no—
915#3124—611no—
916#3112—611no—
917#3045—611no—
918#3045D6111yescharacteristic, complemented
919C2×#464—611no—
920#2992—611no—
921C2×C61—41no—
922C2×C61—81no—
923C2×C61—81no—
924C2×C61—81no—
925C2×C61—81no—
926C2×C61#348811yescharacteristic
927C2×C61C2×#57611yescharacteristic
928C2×C61#358611yescharacteristic
929D61—22no—
930D61—41no—
931D61—81no—
932D61—81no—
933C2×AGL(1,ℤ/8)—611no—
934C2×AGL(1,ℤ/8)C2×D6111yescharacteristic, complemented
935C2×#135—611no—
936C2×#135C2×D6111yescharacteristic, complemented
937C22×Q16—611no—
938C22×SD16—611no—
939#562—1221no—
940H(3,𝔽4)—1221no—
941#559—611no—
942#559—611no—
943#559—611no—
944#559—1221no—
945Q82—611no—
946#554—611no—
947#554—1221no—
948#550—611no—
949#548—611no—
950#548—611no—
951#548—611no—
952#548—611no—
953#547—611no—
954#547—611no—
955#547—1221no—
956#547—1221no—
957#546—611no—
958#546—611no—
959#546—1221no—
960#546—1221no—
961D42—611no—
962D42—611no—
963#542—611no—
964#542—611no—
965#542—611no—
966#542—611no—
967#542—1221no—
968#542—1221no—
969#538—1221no—
970#538—1221no—
971#538—1221no—
972#535—611no—
973#535C2×D6111yescharacteristic
974#534—1221no—
975#532—611no—
976#532—611no—
977#532—1221no—
978#529—611no—
979#529—1221no—
980C2×#124—611no—
981#520—611no—
982#520C2×D6111yescharacteristic, complemented
983C2×C4×Q8—611no—
984#496—611no—
985#496—611no—
986#496—611no—
987#496—611no—
988#495—611no—
989#495—611no—
990#489—611no—
991#489—611no—
992#489—611no—
993#489—611no—
994#486—611no—
995#486—611no—
996#484—611no—
997#484—611no—
998#480—611no—
999#480—611no—
1000#480—611no—
1001#480—611no—
1002#477—611no—
1003#477—611no—
1004#477—611no—
1005#477—611no—
1006#474—611no—
1007#474—611no—
1008#474—611no—
1009#474—611no—
1010#474—611no—
1011#474—611no—
1012#468—611no—
1013#468—611no—
1014#468—611no—
1015#468—611no—
1016#467—611no—
1017#467—611no—
1018#466—611no—
1019#466—611no—
1020#466—611no—
1021#466—611no—
1022#466—611no—
1023#466—611no—
1024#464—611no—
1025#464—611no—
1026#464—611no—
1027#464—611no—
1028#464—611no—
1029#464—611no—
1030#464—611no—
1031#464—611no—
1032#464—611no—
1033#464—611no—
1034#464C2×D6111yescharacteristic, complemented
1035#464C2×D6111yescharacteristic, complemented
1036#463—611no—
1037#463—611no—
1038#463—611no—
1039#463—611no—
1040#463—611no—
1041#463—611no—
1042#463C2×D6111yescharacteristic, complemented
1043#463C2×D6111yescharacteristic, complemented
1044#460—611no—
1045#460—611no—
1046#460C2×D6111yescharacteristic
1047#460C2×D6111yescharacteristic, complemented
1048#459—611no—
1049#459—611no—
1050#459—611no—
1051#459—611no—
1052#459C2×D6111yescharacteristic
1053#459C2×D6111yescharacteristic, complemented
1054#452—611no—
1055#452—611no—
1056#452—611no—
1057#452—611no—
1058#450—611no—
1059#450—611no—
1060#449—611no—
1061#449—611no—
1062#449—611no—
1063#449—611no—
1064#448—611no—
1065#448—611no—
1066#448—611no—
1067#448—611no—
1068#447—611no—
1069#447—611no—
1070#447—611no—
1071#447—611no—
1072#446—611no—
1073#446—611no—
1074#440—611no—
1075#440—611no—
1076#440—611no—
1077#440—611no—
1078#440—611no—
1079#440—611no—
1080#440—611no—
1081#440—611no—
1082C4×Q16—611no—
1083C4×Q16—611no—
1084C4×D8—611no—
1085C4×D8—611no—
1086#435—611no—
1087#435—611no—
1088#435—611no—
1089#435—611no—
1090C8×D4—611no—
1091C8×D4—611no—
1092#433—611no—
1093#433—611no—
1094#432—611no—
1095#424—611no—
1096#424C2×D6111yescharacteristic, complemented
1097C2×C4⋊C8—611no—
1098#417—611no—
1099#417C2×D6111yescharacteristic, complemented
1100C2×#103—611no—
1101C2×#102—611no—
1102C2×#102—611no—
1103C2×#102C2×D6111yescharacteristic, complemented
1104C61#6202211yescharacteristic, complemented, Sylow
1105C2×#41—611no—
1106C2×#41—611no—
1107C2×#41—1221no—
1108C2×#41—1221no—
1109C2×#41—1221no—
1110C2×#41—1221no—
1111C2×#41C22×D6111yescharacteristic
1112C2×#41C22×D6111yescharacteristic
1113C22×Q8—611no—
1114C22×Q8—611no—
1115C22×D4—611no—
1116C22×D4—611no—
1117C22×D4—1221no—
1118C22×D4—1221no—
1119C22×D4C22×D6111yescharacteristic
1120AGL(1,ℤ/8)—42no—
1121AGL(1,ℤ/8)—2442no—
1122#135—42no—
1123#135—2442no—
1124C2×Q16—611no—
1125C2×Q16—611no—
1126C2×Q16—611no—
1127C2×Q16—2442no—
1128C2×Q16C22×D6111yescharacteristic
1129C2×SD16—611no—
1130C2×SD16—611no—
1131C2×SD16—611no—
1132C2×SD16—611no—
1133C2×SD16—611no—
1134C2×SD16—611no—
1135C2×SD16—611no—
1136C2×SD16—611no—
1137C2×SD16—2442no—
1138C2×SD16C22×D6111yescharacteristic
1139C2×SD16C22×D6111yescharacteristic
1140C2×SD16C22×D6111yescharacteristic
1141C2×SD16C22×D6111yescharacteristic
1142C2×D8—611no—
1143C2×D8—611no—
1144C2×D8—611no—
1145C2×D8—611no—
1146C2×D8—611no—
1147C2×D8C22×D6111yescharacteristic
1148C2×D8C22×D6111yescharacteristic
1149C2×D8C22×D6111yescharacteristic
1150C2×M16—611no—
1151C2×M16C22×D6111yescharacteristic
1152C22×C8—611no—
1153C22×C8—611no—
1154C22×C8—611no—
1155C22×C8C22×D6111yescharacteristic
1156C4⋊Q8—611no—
1157C4⋊Q8—611no—
1158C4⋊Q8—611no—
1159C4⋊Q8—611no—
1160C4⋊Q8—1221no—
1161C4⋊Q8—1221no—
1162C4⋊Q8—1221no—
1163#127—611no—
1164#127—611no—
1165#127—1221no—
1166#127C22×D6111yescharacteristic
1167#127C22×D6111yescharacteristic
1168#126—611no—
1169#126—611no—
1170#126—1221no—
1171#126—1221no—
1172#126—1221no—
1173#126—1221no—
1174#125—611no—
1175#125—1221no—
1176#124—611no—
1177#124—611no—
1178#124—611no—
1179#124—611no—
1180#124—611no—
1181#124—611no—
1182#124—611no—
1183#124—1221no—
1184#124—1221no—
1185#124—1221no—
1186#124—1221no—
1187#124—1221no—
1188#124—1221no—
1189#124—1221no—
1190#124—1221no—
1191#124—1221no—
1192#124—1221no—
1193#124—1221no—
1194#124—1221no—
1195#124—1221no—
1196#124—1221no—
1197#124—1221no—
1198#124C22×D6111yescharacteristic
1199#124C22×D6111yescharacteristic
1200#123—611no—
1201#123—611no—
1202#123—1221no—
1203#123—1221no—
1204#123—1221no—
1205#123—1221no—
1206#123—1221no—
1207#123—1221no—
1208#123—1221no—
1209#123—1221no—
1210#123—1221no—
1211#123—1221no—
1212#123—1221no—
1213#123—1221no—
1214#123—1221no—
1215#123—1221no—
1216#123—1221no—
1217#123—1221no—
1218C22⋊Q8—611no—
1219C22⋊Q8—611no—
1220C22⋊Q8—611no—
1221C22⋊Q8—611no—
1222C22⋊Q8—611no—
1223C22⋊Q8—1221no—
1224C22⋊Q8—1221no—
1225C22⋊Q8—1221no—
1226C22⋊Q8—1221no—
1227C22⋊Q8—1221no—
1228C22⋊Q8—1221no—
1229C22⋊Q8—1221no—
1230C22⋊Q8—1221no—
1231C22⋊Q8—1221no—
1232C22⋊Q8—1221no—
1233C22⋊Q8—1221no—
1234C22⋊Q8—1221no—
1235#121—21no—
1236#121—21no—
1237#121—611no—
1238#121—611no—
1239#121—611no—
1240#121—611no—
1241#121—611no—
1242#121—611no—
1243#121—611no—
1244#121—611no—
1245#121—611no—
1246#121—1221no—
1247#121—1221no—
1248#121—1221no—
1249#121—1221no—
1250#121—1221no—
1251#121—1221no—
1252#121—1221no—
1253#121—1221no—
1254#121—1221no—
1255#121—1221no—
1256#121—1221no—
1257#121—1221no—
1258#121—1221no—
1259#121—1221no—
1260#120—21no—
1261#120—21no—
1262#120—1221no—
1263#120—1221no—
1264#120—1221no—
1265#120—1221no—
1266#120—1221no—
1267#120—1221no—
1268#120—1221no—
1269#120—1221no—
1270C4×Q8—611no—
1271C4×Q8—611no—
1272C4×Q8—611no—
1273C4×Q8—611no—
1274C4×Q8—611no—
1275C4×Q8—611no—
1276C4×Q8—611no—
1277C4×Q8—1221no—
1278C4×Q8—1221no—
1279C4×Q8—1221no—
1280C4×Q8C22×D6111yescharacteristic
1281C4×Q8C22×D6111yescharacteristic
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—611no—
1285C4×D4—611no—
1286C4×D4—611no—
1287C4×D4—611no—
1288C4×D4—611no—
1289C4×D4—611no—
1290C4×D4—611no—
1291C4×D4—611no—
1292C4×D4—611no—
1293C4×D4—1221no—
1294C4×D4—1221no—
1295C4×D4—1221no—
1296C4×D4—1221no—
1297C4×D4—1221no—
1298C4×D4—1221no—
1299C4×D4—1221no—
1300C4×D4—1221no—
1301C4×D4—1221no—
1302C4×D4—1221no—
1303C4×D4—1221no—
1304C4×D4—1221no—
1305C4×D4—1221no—
1306C4×D4C22×D6111yescharacteristic
1307C4×D4C22×D6111yescharacteristic
1308#117—21no—
1309#117—611no—
1310#117—1221no—
1311#117C22×D6111yescharacteristic
1312C2×C4⋊C4—21no—
1313C2×C4⋊C4—611no—
1314C2×C4⋊C4—611no—
1315C2×C4⋊C4—1221no—
1316C2×C4⋊C4—1221no—
1317C2×C4⋊C4C22×D6111yescharacteristic
1318C2×C22⋊C4—1221no—
1319C2×C22⋊C4—1221no—
1320C2×C22⋊C4—1221no—
1321C2×C22⋊C4—1221no—
1322C2×C42—611no—
1323C2×C42—1221no—
1324#107—611no—
1325#107—611no—
1326#107—611no—
1327#107—611no—
1328#107—611no—
1329#107—611no—
1330#107—611no—
1331#107—611no—
1332C4⋊C8—611no—
1333C4⋊C8—611no—
1334C4⋊C8—611no—
1335C4⋊C8—611no—
1336C4⋊C8—611no—
1337C4⋊C8—611no—
1338C4⋊C8C22×D6111yescharacteristic
1339C4⋊C8C22×D6111yescharacteristic
1340C4⋊C8C22×D6111yescharacteristic
1341C4⋊C8C22×D6111yescharacteristic
1342#103—611no—
1343#103—611no—
1344#103—611no—
1345#103—611no—
1346#103—611no—
1347#103—611no—
1348#103—611no—
1349#103—611no—
1350#103—611no—
1351#103—611no—
1352#103C22×D6111yescharacteristic
1353#103C22×D6111yescharacteristic
1354#102—611no—
1355#102—611no—
1356#102—611no—
1357#102—611no—
1358#102—611no—
1359#102—611no—
1360#102—611no—
1361#102—611no—
1362#102—611no—
1363#102—611no—
1364#102—611no—
1365#102—611no—
1366#102—611no—
1367#102—611no—
1368#102C22×D6111yescharacteristic
1369#102C22×D6111yescharacteristic
1370#102C22×D6111yescharacteristic
1371#102C22×D6111yescharacteristic
1372#102C22×D6111yescharacteristic
1373#102C22×D6111yescharacteristic
1374C22⋊C8—611no—
1375C22⋊C8—611no—
1376C22⋊C8—611no—
1377C22⋊C8—611no—
1378C22⋊C8—611no—
1379C22⋊C8—611no—
1380#97—611no—
1381#97—611no—
1382#97—611no—
1383#97—611no—
1384C4×C8—611no—
1385C4×C8—611no—
1386C24—21no—
1387C24—1221no—
1388C24—1221no—
1389#41—22no—
1390#41—41no—
1391#41—41no—
1392#41—41no—
1393#41—1222no—
1394#41—4882no—
1395#41—4882no—
1396#41—4882no—
1397#41—4882no—
1398#41—2441no—
1399#41—2441no—
1400#41—2441no—
1401C2×Q8—611no—
1402C2×Q8—611no—
1403C2×Q8—611no—
1404C2×Q8—1221no—
1405C2×Q8—1221no—
1406C2×Q8—1221no—
1407C2×Q8—1221no—
1408C2×Q8—1221no—
1409C2×Q8—1221no—
1410C2×Q8—1222no—
1411C2×Q8—2441no—
1412C2×Q8—2441no—
1413C2×Q8—2441no—
1414C2×Q8C23×D6111yescharacteristic
1415C2×Q8C23×D6111yescharacteristic
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—611no—
1426C2×D4—611no—
1427C2×D4—611no—
1428C2×D4—611no—
1429C2×D4—611no—
1430C2×D4—1221no—
1431C2×D4—1221no—
1432C2×D4—1221no—
1433C2×D4—1221no—
1434C2×D4—1221no—
1435C2×D4—1221no—
1436C2×D4—1221no—
1437C2×D4—1221no—
1438C2×D4—1221no—
1439C2×D4—1221no—
1440C2×D4—1221no—
1441C2×D4—1221no—
1442C2×D4—1221no—
1443C2×D4—1221no—
1444C2×D4—1221no—
1445C2×D4—1221no—
1446C2×D4—4882no—
1447C2×D4—4882no—
1448C2×D4—2441no—
1449C2×D4—2441no—
1450C2×D4—2441no—
1451C2×D4—2441no—
1452C2×D4C23×D6111yescharacteristic
1453C2×D4C23×D6111yescharacteristic
1454C2×D4C23×D6111yescharacteristic
1455C2×D4C23×D6111yescharacteristic
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—21no—
1459C22×C4—21no—
1460C22×C4—21no—
1461C22×C4—611no—
1462C22×C4—611no—
1463C22×C4—611no—
1464C22×C4—611no—
1465C22×C4—1221no—
1466C22×C4—1221no—
1467C22×C4—1221no—
1468C22×C4—1221no—
1469C22×C4—1221no—
1470C22×C4—1221no—
1471C22×C4—1221no—
1472C22×C4—1221no—
1473C22×C4—1221no—
1474C22×C4—1221no—
1475C22×C4—1221no—
1476C22×C4—1221no—
1477C22×C4C23×D6111yescharacteristic
1478Q16—22no—
1479Q16—1222no—
1480Q16—2441no—
1481Q16—2441no—
1482SD16—22no—
1483SD16—22no—
1484SD16—22no—
1485SD16—41no—
1486SD16—1222no—
1487SD16—2441no—
1488SD16—2441no—
1489SD16—2441no—
1490SD16—2441no—
1491SD16—2441no—
1492SD16—2441no—
1493SD16—2441no—
1494D8—41no—
1495D8—41no—
1496D8—41no—
1497D8—2441no—
1498D8—2441no—
1499D8—2441no—
1500D8—2441no—
1501D8—2441no—
1502M16—41no—
1503M16—2441no—
1504C2×C8—41no—
1505C2×C8—611no—
1506C2×C8—611no—
1507C2×C8—611no—
1508C2×C8—611no—
1509C2×C8—2441no—
1510C2×C8—2441no—
1511C2×C8—2441no—
1512C2×C8C23×D6111yescharacteristic
1513C2×C8C23×D6111yescharacteristic
1514C2×C8C23×D6111yescharacteristic
1515C2×C8C23×D6111yescharacteristic
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—611no—
1520C4⋊C4—611no—
1521C4⋊C4—611no—
1522C4⋊C4—611no—
1523C4⋊C4—611no—
1524C4⋊C4—611no—
1525C4⋊C4—611no—
1526C4⋊C4—611no—
1527C4⋊C4—611no—
1528C4⋊C4—611no—
1529C4⋊C4—611no—
1530C4⋊C4—611no—
1531C4⋊C4—1221no—
1532C4⋊C4—1221no—
1533C4⋊C4—1221no—
1534C4⋊C4—1221no—
1535C4⋊C4—1221no—
1536C4⋊C4—1221no—
1537C4⋊C4—1221no—
1538C4⋊C4—1221no—
1539C4⋊C4—1221no—
1540C4⋊C4—1221no—
1541C4⋊C4—1221no—
1542C4⋊C4—1221no—
1543C4⋊C4—1221no—
1544C4⋊C4—1221no—
1545C4⋊C4—1221no—
1546C4⋊C4—1221no—
1547C4⋊C4D4×D6111yescharacteristic
1548C4⋊C4D4×D6111yescharacteristic
1549C4⋊C4C23×D6111yescharacteristic
1550C4⋊C4C23×D6111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—611no—
1558C22⋊C4—611no—
1559C22⋊C4—611no—
1560C22⋊C4—611no—
1561C22⋊C4—611no—
1562C22⋊C4—611no—
1563C22⋊C4—611no—
1564C22⋊C4—611no—
1565C22⋊C4—1221no—
1566C22⋊C4—1221no—
1567C22⋊C4—1221no—
1568C22⋊C4—1221no—
1569C22⋊C4—1221no—
1570C22⋊C4—1221no—
1571C22⋊C4—1221no—
1572C22⋊C4—1221no—
1573C22⋊C4—1221no—
1574C22⋊C4—1221no—
1575C22⋊C4—1221no—
1576C22⋊C4—1221no—
1577C22⋊C4—1221no—
1578C22⋊C4—1221no—
1579C22⋊C4—1221no—
1580C22⋊C4—1221no—
1581C22⋊C4—1221no—
1582C22⋊C4—1221no—
1583C22⋊C4—1221no—
1584C22⋊C4—1221no—
1585C22⋊C4—1221no—
1586C22⋊C4—1221no—
1587C22⋊C4—1221no—
1588C22⋊C4—1221no—
1589C22⋊C4—1221no—
1590C22⋊C4—1221no—
1591C22⋊C4—1221no—
1592C22⋊C4—1221no—
1593C22⋊C4—1221no—
1594C22⋊C4—1221no—
1595C22⋊C4D4×D6111yescharacteristic
1596C22⋊C4D4×D6111yescharacteristic
1597C42—21no—
1598C42—21no—
1599C42—611no—
1600C42—611no—
1601C42—611no—
1602C42—611no—
1603C42—1221no—
1604C42—1221no—
1605C42—1221no—
1606C42—1221no—
1607C42—1221no—
1608C42—1221no—
1609C42C23×D6111yescharacteristic
1610C42C23×D6111yescharacteristic
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—81no—
1616C23—81no—
1617C23—81no—
1618C23—611no—
1619C23—611no—
1620C23—1221no—
1621C23—1221no—
1622C23—4881no—
1623C23—4881no—
1624C23—4881no—
1625C23—4881no—
1626C23—4881no—
1627C23—2442no—
1628C23C2×D4×D6111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—1221no—
1633Q8—1221no—
1634Q8—1221no—
1635Q8—1221no—
1636Q8—4881no—
1637Q8—4881no—
1638Q8—4881no—
1639Q8—4881no—
1640Q8—4881no—
1641Q8—2441no—
1642Q8—2442no—
1643Q8#1451982212yes—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—42no—
1653D4—81no—
1654D4—81no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—1222no—
1660D4—1222no—
1661D4—1221no—
1662D4—1221no—
1663D4—1221no—
1664D4—1221no—
1665D4—4881no—
1666D4—4881no—
1667D4—4881no—
1668D4—4881no—
1669D4—4881no—
1670D4—4881no—
1671D4—4881no—
1672D4—4881no—
1673D4—4881no—
1674D4—4881no—
1675D4—2442no—
1676D4—2442no—
1677D4—2441no—
1678D4—2442no—
1679D4—2442no—
1680D4—2442no—
1681D4—2442no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—611no—
1694C2×C4—611no—
1695C2×C4—611no—
1696C2×C4—611no—
1697C2×C4—611no—
1698C2×C4—611no—
1699C2×C4—1222no—
1700C2×C4—1221no—
1701C2×C4—1221no—
1702C2×C4—1221no—
1703C2×C4—1221no—
1704C2×C4—1221no—
1705C2×C4—1221no—
1706C2×C4—1221no—
1707C2×C4—1221no—
1708C2×C4—1221no—
1709C2×C4—1221no—
1710C2×C4—4881no—
1711C2×C4—4881no—
1712C2×C4—4881no—
1713C2×C4—4881no—
1714C2×C4—4881no—
1715C2×C4—4881no—
1716C2×C4—4881no—
1717C2×C4—4881no—
1718C2×C4—4881no—
1719C2×C4—2441no—
1720C2×C4—2442no—
1721C2×C4—2442no—
1722C2×C4—2442no—
1723C2×C4C2×D4×D6111yescharacteristic
1724C2×C4C2×D4×D6111yescharacteristic
1725C2×C4C2×D4×D6111yescharacteristic
1726C2×C4C2×D4×D6111yescharacteristic
1727C2×C4C2×D4×D6111yescharacteristic
1728C2×C4C24×D6111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—1221no—
1734C8—1221no—
1735C8—1221no—
1736C8—1221no—
1737C22—21no—
1738C22—21no—
1739C22—21no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—162no—
1753C22—612no—
1754C22—1221no—
1755C22—1221no—
1756C22—1221no—
1757C22—1221no—
1758C22—1221no—
1759C22—9762no—
1760C22—9762no—
1761C22—2441no—
1762C22—2441no—
1763C22—2441no—
1764C22—2441no—
1765C22—2441no—
1766C22—2441no—
1767C22C22×D4×D6111yescharacteristic
1768C4—21no—
1769C4—22no—
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—41no—
1775C4—41no—
1776C4—41no—
1777C4—1221no—
1778C4—1221no—
1779C4—1221no—
1780C4—1221no—
1781C4—1221no—
1782C4—1221no—
1783C4—2441no—
1784C4—2441no—
1785C4—2441no—
1786C4—2441no—
1787C4—2441no—
1788C4—2441no—
1789C4C2×#1451982211yescharacteristic
1790C4#1684059811yescharacteristic
1791C2—41no—
1792C2—81no—
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—1222no—
1797C2—4881no—
1798C2—4881no—
1799C2—2441no—
1800C2#2145948411yescharacteristic
1801C2#576×D6111yescharacteristic
1802C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3045C2
socleC22×C61C23×D4
hypercenter#3045D61
hypocenterC61#62022
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #21460337C2semidirect
2. #21459898C2semidirect
3. #21458907C2semidirect
4. #21458902C2semidirect
5. #21458637C2semidirect
6. #21458628C2semidirect
7. #21457901C2semidirect
8. #21457896C2semidirect
9. #21457817C2semidirect
10. #21457811C2semidirect
11. #21457635C2semidirect
12. #21457628C2semidirect
13. #21457555C2semidirect
14. #21457554C2semidirect
15. #21457359C2semidirect
16. #21457353C2semidirect
17. #21457309C2semidirect
18. #21457308C2semidirect
19. #21457280C2semidirect
20. #21457277C2semidirect
21. #21457127C2semidirect
22. #21456913C2semidirect
23. #21456910C2semidirect
24. #21456804C2semidirect
25. #21456081C2semidirect
26. #21456080C2semidirect
27. #21455940C2semidirect
28. #21455355C2semidirect
29. #464×D61C2semidirect
30. #21454956C2semidirect
31. C61×#3045C2semidirect
32. C2×#14519804C22semidirect
33. C2×#14519798C22semidirect
34. C2×Q16×D61C22semidirect
40. #16840495C22semidirect
42. Q8×Dic122C22semidirect
44. #16840467C22semidirect
45. #16840431C22semidirect
46. #16840424C22semidirect
49. #16840419C22semidirect
51. #16840417C22semidirect
53. #16840413C22semidirect
62. #16840383C22semidirect
65. #16840377C22semidirect
73. #16840309C22semidirect
77. #16840244C22semidirect
78. C4×Q8×D61C22semidirect
80. #16840150C22semidirect
82. #16840148C22semidirect
83. #16840145C22semidirect
84. #16840144C22semidirect
85. #16840123C22semidirect
86. #16840121C22semidirect
87. #16840120C22semidirect
88. #16840120C22semidirect
91. #16840097C22semidirect
92. #16840096C22semidirect
95. #16840074C22semidirect
96. #16840074C22semidirect
97. #16840058C22semidirect
98. #16840058C22semidirect
99. #16840057C22semidirect
100. #16840055C22semidirect
101. #16840043C22semidirect
102. #16840043C22semidirect
103. #16840042C22semidirect
104. #16840040C22semidirect
105. #16840040C22semidirect
106. #16840040C22semidirect
108. #16840008C22semidirect
110. #16840005C22semidirect
111. #16840003C22semidirect
112. #16840002C22semidirect
114. #16839997C22semidirect
115. #16839997C22semidirect
117. #16839995C22semidirect
118. #16839995C22semidirect
119. #16839987C22semidirect
120. #16839986C22semidirect
121. #16839985C22semidirect
122. #16839985C22semidirect
123. #16839984C22semidirect
124. #16839983C22semidirect
125. #16839982C22semidirect
126. #16839982C22semidirect
127. #16839982C22semidirect
128. #16839981C22semidirect
129. #16839978C22semidirect
130. #16839978C22semidirect
131. #16839977C22semidirect
132. #16839976C22semidirect
133. #16839975C22semidirect
134. #16839974C22semidirect
136. #16839959C22semidirect
138. #16839955C22semidirect
139. #16839955C22semidirect
140. #16839954C22semidirect
141. #16839925C22semidirect
142. #16839924C22semidirect
143. #16839924C22semidirect
144. #16839923C22semidirect
145. #16839914C22semidirect
146. #16839913C22semidirect
148. #16839907C22semidirect
150. #16839904C22semidirect
151. #16839902C22semidirect
152. #16839899C22semidirect
153. #16839899C22semidirect
154. #16839899C22semidirect
156. #16839896C22semidirect
158. #16839894C22semidirect
159. #16839891C22semidirect
160. #16839889C22semidirect
161. #16839865C22semidirect
162. #16839863C22semidirect
163. #16839863C22semidirect
164. #16839863C22semidirect
165. #16839862C22semidirect
166. #16839860C22semidirect
167. #16839859C22semidirect
168. #16839859C22semidirect
169. Q16×Dic61C22semidirect
170. C4×#11758202C22semidirect
171. C4×#11758199C22semidirect
172. #16839842C22semidirect
173. #16839833C22semidirect
174. #16839832C22semidirect
175. #16839831C22semidirect
176. #16839831C22semidirect
177. #16839827C22semidirect
178. C8×C22⋊D61C22semidirect
179. #16839823C22semidirect
180. #16839822C22semidirect
181. #16839818C22semidirect
182. #16839787C22semidirect
183. C4⋊C8×D61C22semidirect
184. #16839760C22semidirect
185. #103×D61C22semidirect
187. #102×D61C22semidirect
188. C2×AGL(1,ℤ/8)×C61C22semidirect
189. C2×#135×C61C22semidirect
191. C61×#520C22semidirect
192. C61×#464C22semidirect
193. C61×#464C22semidirect
194. C61×#463C22semidirect
195. C61×#463C22semidirect
197. C61×#460C22semidirect
199. C61×#459C22semidirect
200. C61×#424C22semidirect
201. C61×#417C22semidirect
202. C2×#102×C61C22semidirect
918. #3045D61semidirect
934. C2×AGL(1,ℤ/8)C2×D61semidirect
936. C2×#135C2×D61semidirect
982. #520C2×D61semidirect
1034. #464C2×D61semidirect
1035. #464C2×D61semidirect
1042. #463C2×D61semidirect
1043. #463C2×D61semidirect
1047. #460C2×D61semidirect
1053. #459C2×D61semidirect
1096. #424C2×D61semidirect
1099. #417C2×D61semidirect
1103. C2×#102C2×D61semidirect
1104. C61#62022semidirect

Maximal subgroups

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

subgroupindex
#214603372
#214598982
#214589072
#214589022
#214586372
#214586282
#214579012
#214578962
#214578172
#214578112
#214576352
#214576282
#214575552
#214575542
#214573592
#214573532
#214573092
#214573082
#214572802
#214572772
#214571272
#214569132
#214569102
#214568042
#214560812
#214560802
#214559402
#214553552
#464×D612
#214549562
C61×#30452
#6202261