Finite Group Databasebeta

← #30563030

Subgroups — #30563030

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459923C211yesmaximal, characteristic, complemented
2#21459886C211yesmaximal, characteristic, complemented
3#21458766C211yesmaximal, characteristic, complemented
4#21458500C211yesmaximal, characteristic, complemented
5#21458475C211yesmaximal, characteristic, complemented
6#21458384C211yesmaximal, characteristic, complemented
7#21458354C211yesmaximal, characteristic, complemented
8#21458324C211yesmaximal, characteristic, complemented
9#21457761C211yesmaximal, characteristic, complemented
10#21457750C211yesmaximal, characteristic, complemented
11#21457728C211yesmaximal, characteristic, complemented
12#21457713C211yesmaximal, characteristic, complemented
13#21457676C211yesmaximal, characteristic, complemented
14#21457661C211yesmaximal, characteristic, complemented
15#21457449C211yesmaximal, characteristic, complemented
16#21457373C211yesmaximal, characteristic, complemented
17#21457358C211yesmaximal, characteristic, complemented
18#21456499C211yesmaximal, characteristic, complemented
19#21456484C211yesmaximal, characteristic, complemented
20#21456386C211yesmaximal, characteristic, complemented
21#21456045C211yesmaximal, characteristic, complemented
22#21456030C211yesmaximal, characteristic, complemented
23#21456017C211yesmaximal, characteristic, complemented
24#21456002C211yesmaximal, characteristic, complemented
25#21455927C211yesmaximal, characteristic, complemented
26#21455925C211yesmaximal, characteristic, complemented
27#21454793C211yesmaximal, characteristic, complemented
28#21454661C211yesmaximal, characteristic, complemented
29#21454648C211yesmaximal, characteristic, complemented
30C4×#14519798C211yesmaximal, characteristic, complemented
31C61×#3401C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35#16840496—21no—
36#16840490C2211yescharacteristic, complemented
37#16840485C2211yescharacteristic
38#16840477C2211yescharacteristic, complemented
39#16840474—21no—
40#16840472C2211yescharacteristic
41#16840463—21no—
42#16840462C2211yescharacteristic
43#16840462C2211yescharacteristic
44#16840461—21no—
45#16840453C2211yescharacteristic
46#16840453C2211yescharacteristic
47#16840449—21no—
48#16840448—21no—
49#16840439—21no—
50#16840436—21no—
51#16840432C2211yescharacteristic
52#16840420C2211yescharacteristic
53#16840420C2211yescharacteristic, complemented
54#16840415C2211yescharacteristic
55#16840405C2211yescharacteristic
56#16840405C2211yescharacteristic
57#16840381C2211yescharacteristic
58#16840381C2211yescharacteristic
59#16840376—21no—
60#16840373C2211yescharacteristic
61#16840366C2211yescharacteristic, complemented
62#16840364—21no—
63#16840358—21no—
64#16840351—21no—
65#16840299C2211yescharacteristic
66#16840292—21no—
67#16840291C2211yescharacteristic
68#16840291C2211yescharacteristic, complemented
69#16840290—21no—
70#16840289—21no—
71#126×D61—21no—
72#16840244C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840238C2211yescharacteristic, complemented
75#16840234C2211yescharacteristic
76C4×#11758226C2211yescharacteristic
77C4×#11758224C2211yescharacteristic, complemented
78#16840171C2211yescharacteristic, complemented
79#16840171C2211yescharacteristic, complemented
80#16840164C2211yescharacteristic, complemented
81#16840116C2211yescharacteristic
82#16840116C2211yescharacteristic
83#16840116C2211yescharacteristic, complemented
84#16840116C2211yescharacteristic, complemented
85#16840112C2211yescharacteristic, complemented
86#16840108C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic
89#16840101C2211yescharacteristic, complemented
90#16840101C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic
92#16840091C2211yescharacteristic
93#16840085C2211yescharacteristic
94#16840085C2211yescharacteristic
95#16840085C2211yescharacteristic, complemented
96#16840084C2211yescharacteristic
97#16840079C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840070C2211yescharacteristic, complemented
100#16840070C2211yescharacteristic, complemented
101#16840069C2211yescharacteristic, complemented
102#16840069C2211yescharacteristic, complemented
103#16840063C2211yescharacteristic
104#16840063C2211yescharacteristic
105#16840062C2211yescharacteristic, complemented
106#16840062C2211yescharacteristic, complemented
107#16840057C2211yescharacteristic, complemented
108#16840053C2211yescharacteristic
109#16840048C2211yescharacteristic, complemented
110#16840042C2211yescharacteristic
111#16840017C2211yescharacteristic
112#16840012C2211yescharacteristic
113#16840005C2211yescharacteristic
114#16840005C2211yescharacteristic, complemented
115#16840000C2211yescharacteristic
116#16840000C2211yescharacteristic, complemented
117#16839995C2211yescharacteristic
118#16839995C2211yescharacteristic
119#16839988C2211yescharacteristic
120#16839988C2211yescharacteristic
121#16839988C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839981C2211yescharacteristic
124#16839981C2211yescharacteristic
125#16839974C2211yescharacteristic
126#16839974C2211yescharacteristic
127#16839969C2211yescharacteristic, complemented
128#16839954C2211yescharacteristic
129#16839923C2211yescharacteristic
130#16839921C2211yescharacteristic
131#16839921C2211yescharacteristic
132#16839921C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839911C2211yescharacteristic
135#16839906C2211yescharacteristic
136#16839906C2211yescharacteristic
137#16839906C2211yescharacteristic
138#16839904C2211yescharacteristic
139#16839899C2211yescharacteristic
140#16839894C2211yescharacteristic
141Q8×#92418C2211yescharacteristic, complemented
142#16839874C2211yescharacteristic
143#16839871C2211yescharacteristic
144#16839869C2211yescharacteristic, complemented
145#16839866C2211yescharacteristic, complemented
146#16839865C2211yescharacteristic
147#16839864C2211yescharacteristic
148#16839864C2211yescharacteristic
149#16839863C2211yescharacteristic, complemented
150#16839863C2211yescharacteristic, complemented
151#16839859C2211yescharacteristic
152Q16×Dic61C2211yescharacteristic, complemented
153C4×#11758202C2211yescharacteristic, complemented
154C4×#11758202C2211yescharacteristic, complemented
155#16839854C2211yescharacteristic, complemented
156C4×#11758190C2211yescharacteristic
157SD16×Dic61C2211yescharacteristic
158SD16×Dic61C2211yescharacteristic, complemented
159SD16×Dic61C2211yescharacteristic, complemented
160C4×#11758201C2211yescharacteristic
161#16839849C2211yescharacteristic
162C4×#11758200C2211yescharacteristic
163D8×Dic61C2211yescharacteristic
164C4×#11758199C2211yescharacteristic
165C4×#11758199C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839841C2211yescharacteristic
168#16839835C2211yescharacteristic
169#16839835C2211yescharacteristic, complemented
170#16839827C2211yescharacteristic
171#16839827C2211yescharacteristic
172#16839827C2211yescharacteristic, complemented
173#16839822C2211yescharacteristic
174#16839822C2211yescharacteristic, complemented
175#16839818C2211yescharacteristic, complemented
176#16839801C2211yescharacteristic
177#16839801C2211yescharacteristic, complemented
178#16839797C2211yescharacteristic, complemented
179#16839757C2211yescharacteristic
180#16839757C2211yescharacteristic
181#16839755C2211yescharacteristic
182#16839755C2211yescharacteristic, complemented
183#103×D61C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839719C2211yescharacteristic
186#16839719C2211yescharacteristic, complemented
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#559C2211yescharacteristic, complemented
189C61×#556C2211yescharacteristic
190C61×#497C2211yescharacteristic, complemented
191C61×#496C2211yescharacteristic
192C61×#495C2211yescharacteristic
193C61×#464C2211yescharacteristic
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic
196C61×#463C2211yescharacteristic
197C61×#461C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic, complemented
199C61×#446C2211yescharacteristic, complemented
200C61×#442C2211yescharacteristic
201C61×#441C2211yescharacteristic, complemented
202C4×SD16×C61C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758226C2311yescharacteristic
205C2×#11758224C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C2×Q8×D61C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519809—24no—
210#14519801—24no—
211#14519798—24no—
212C2×#11758202C2311yescharacteristic
213C2×#11758202C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758201C2311yescharacteristic
217C2×#11758199C2311yescharacteristic
218C2×#11758199C2311yescharacteristic
219C2×#11758189C2311yescharacteristic
220C2×#11758189C2311yescharacteristic
221C2×C8×D61C2311yescharacteristic
222C2×C8×D61C2311yescharacteristic
223C2×C8×D61C2311yescharacteristic
224C2×C8×D61C2311yescharacteristic
225#14519777C2311yescharacteristic
226#14519777C2311yescharacteristic
227#14519775—21no—
228#14519773—21no—
229#14519772—21no—
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772D411yescharacteristic
234#14519772D411yescharacteristic
235#14519771—21no—
236#14519771—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519768D411yescharacteristic
248#14519767—21no—
249#14519767—21no—
250#14519767—21no—
251#14519767—21no—
252#14519767—21no—
253#14519767—21no—
254#14519766D411yescharacteristic
255#14519765—21no—
256#14519763—21no—
257#14519763—21no—
258#14519763—21no—
259#14519763—21no—
260#14519763—21no—
261#14519763—21no—
262#14519762—21no—
263#14519762—21no—
264#14519762—21no—
265#14519762—21no—
266#14519762D411yescharacteristic
267#14519762D411yescharacteristic
268#14519761—21no—
269#14519761—21no—
270#14519760—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519758—21no—
277#14519758—21no—
278#14519755—21no—
279#14519755—21no—
280#14519754—21no—
281#14519754—21no—
282#14519754—21no—
283#14519754—21no—
284#14519753—21no—
285#14519753D411yescharacteristic
286#14519753C2311yescharacteristic
287#14519753C2311yescharacteristic
288#14519753C2311yescharacteristic
289#14519753C2311yescharacteristic
290#14519753C2311yescharacteristic
291#14519753C2311yescharacteristic
292#14519752—21no—
293#14519752D411yescharacteristic
294#14519751—21no—
295#14519750—21no—
296#14519750—21no—
297#14519750—21no—
298#14519750—21no—
299#14519750—21no—
300#14519750—21no—
301#14519749—21no—
302#14519749—21no—
303#14519749—21no—
304#14519749—21no—
305#14519748C2311yescharacteristic
306#14519748C2311yescharacteristic
307#14519748C2311yescharacteristic
308#14519748C2311yescharacteristic
309#14519748C2311yescharacteristic
310#14519748C2311yescharacteristic
311#14519747—21no—
312#14519747—21no—
313Q8×Dic61C2311yescharacteristic
314Q8×Dic61C2311yescharacteristic
315Q8×Dic61C2311yescharacteristic
316C4×Dic122—21no—
317C4×Dic122—21no—
318C4×Dic122C2311yescharacteristic
319C4×Dic122C2311yescharacteristic
320C4×Dic122C2311yescharacteristic
321#14519742—21no—
322#14519742—21no—
323#14519742C2311yescharacteristic
324C4×D244—21no—
325C4×D244—21no—
326C4×D244C2311yescharacteristic
327C4×D244C2311yescharacteristic
328C4×D244C2311yescharacteristic
329C4×D244C2311yescharacteristic
330C4×D244C2311yescharacteristic
331C4×D244C2311yescharacteristic
332D4×Dic61—21no—
333D4×Dic61C2311yescharacteristic
334D4×Dic61C2311yescharacteristic
335D4×Dic61C2311yescharacteristic
336#14519739—21no—
337#14519739—21no—
338#14519739C2311yescharacteristic
339C4×C22⋊D61—21no—
340C4×C22⋊D61—21no—
341C4×C22⋊D61—21no—
342C4×C22⋊D61—21no—
343C4×C22⋊D61—21no—
344#14519737—21no—
345#14519737—21no—
346#14519737—21no—
347#14519737—21no—
348#14519737—21no—
349#14519737—21no—
350#14519737—21no—
351#14519736—21no—
352#14519735—21no—
353#14519735—21no—
354#14519735C2311yescharacteristic
355#14519735C2311yescharacteristic
356#14519735C2311yescharacteristic
357#14519735C2311yescharacteristic
358#14519734—21no—
359#14519734—21no—
360#14519734—21no—
361#14519734—21no—
362#14519734C2311yescharacteristic
363#14519734C2311yescharacteristic
364#14519733—21no—
365#14519733—21no—
366#14519733—21no—
367#14519733—21no—
368C2×#11758196—21no—
369C4⋊C4×D61—21no—
370C4⋊C4×D61—21no—
371C4⋊C4×D61—21no—
372C4⋊C4×D61C2311yescharacteristic
373C4⋊C4×D61C2311yescharacteristic
374C2×#11758198—21no—
375C22⋊C4×D61—21no—
376C22⋊C4×D61—21no—
377C22⋊C4×D61—21no—
378C2×C4×Dic61—21no—
379C42×D61—21no—
380C42×D61C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519709C2311yescharacteristic
390#14519709C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396C4⋊#92418C2311yescharacteristic
397C4⋊#92418C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519701C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519701C2311yescharacteristic
406#14519701C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519698C2311yescharacteristic
420#14519698C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519697C2311yescharacteristic
425#14519689C2311yescharacteristic
426#14519689C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519689C2311yescharacteristic
430#14519689C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C4×#92418C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×Q16×C61C2311yescharacteristic
439C2×Q16×C61C2311yescharacteristic
440C2×SD16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×SD16×C61C2311yescharacteristic
445C2×D8×C61C2311yescharacteristic
446C2×D8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448#127×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61C2311yescharacteristic
453#124×C61C2311yescharacteristic
454#124×C61C2311yescharacteristic
455#124×C61C2311yescharacteristic
456#123×C61—21no—
457#123×C61—21no—
458C22⋊Q8×C61—21no—
459C4×Q8×C61C2311yescharacteristic
460C4×Q8×C61C2311yescharacteristic
461C4×Q8×C61C2311yescharacteristic
462C4×Q8×C61C2311yescharacteristic
463C4×D4×C61—21no—
464C4×D4×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61—21no—
468#106×C61C2311yescharacteristic
469C4⋊C8×C61C2311yescharacteristic
470C4⋊C8×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#97×C61C2311yescharacteristic
479#97×C61C2311yescharacteristic
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61C2×D411yescharacteristic
483C2×Q8×C61C2411yescharacteristic
484C2×Q8×C61C2411yescharacteristic
485C2×Q8×C61C2411yescharacteristic
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C22×Dic61—21no—
504C22×Dic61—21no—
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508#11758226—22no—
509#11758226—22no—
510#11758226—41no—
511#11758226—41no—
512Q8×D61—22no—
513Q8×D61—41no—
514#11758224—22no—
515#11758224—22no—
516#11758224—41no—
517#11758224—41no—
518D4×D61—22no—
519D4×D61—41no—
520C2×D244—21no—
521C2×D244—21no—
522C2×D244C2×D411yescharacteristic
523C2×D244C2×D411yescharacteristic
524C2×D244C2×D411yescharacteristic
525C2×D244C2411yescharacteristic
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61—21no—
535C2×C4×D61C2×D411yescharacteristic
536C2×C4×D61C2×D411yescharacteristic
537C2×C4×D61C2411yescharacteristic
538C2×C4×D61C2411yescharacteristic
539C2×C4×D61C2411yescharacteristic
540C2×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—21no—
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545Q16×C61—41no—
546SD16×C61—22no—
547SD16×C61—41no—
548SD16×C61—41no—
549SD16×C61—41no—
550SD16×C61—41no—
551D8×C61—22no—
552D8×C61—41no—
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C4⋊C4×C61—21no—
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61—21no—
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C4⋊C4×C61C2411yescharacteristic
566C4⋊C4×C61C2411yescharacteristic
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61—21no—
572C22⋊C4×C61—21no—
573C22⋊C4×C61—21no—
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C42×C61—21no—
579C42×C61—21no—
580C42×C61—21no—
581C42×C61C2411yescharacteristic
582C42×C61C2411yescharacteristic
583C42×C61C2411yescharacteristic
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593#11758202—22no—
594#11758202—22no—
595#11758201—22no—
596#11758200—22no—
597#11758199—22no—
598#11758199—22no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198—21no—
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616#11758198C2×D411yescharacteristic
617#11758198C2×D411yescharacteristic
618#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622#11758198C2×D411yescharacteristic
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2×D411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
632C4⋊Dic61C2411yescharacteristic
633C4⋊Dic61C2411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652#11758196—21no—
653#11758196—21no—
654#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61—21no—
666C4×Dic61—21no—
667C4×Dic61—21no—
668C4×Dic61—21no—
669C4×Dic61—21no—
670C4×Dic61—21no—
671C4×Dic61—21no—
672C4×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679#11758190#4114yes—
680#11758189—22no—
681#11758189—22no—
682C8×D61—22no—
683C8×D61—41no—
684C8×D61—41no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61—21no—
689C22×D61—21no—
690C22×D61—42no—
691C22×D61—81no—
692C22×D61—81no—
693C22×D61C22×D411yescharacteristic
694C22×D61C22×D411yescharacteristic
695C22×D61C22×D411yescharacteristic
696Q8×C61—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—21no—
700Q8×C61—21no—
701Q8×C61—21no—
702Q8×C61—41no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—21no—
706D4×C61—21no—
707D4×C61—21no—
708D4×C61—21no—
709D4×C61—81no—
710D4×C61—81no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C2511yescharacteristic
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—81no—
730C22⋊D61—81no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752D244—21no—
753D244—41no—
754D244—41no—
755D244—41no—
756D244—42no—
757D244—42no—
758D244C2×#4112yes—
759C4×D61—21no—
760C4×D61—21no—
761C4×D61—21no—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—21no—
765C4×D61—41no—
766C4×D61—41no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775C4×D61—81no—
776Dic122—21no—
777Dic122—42no—
778Dic122—81no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#61500—611nomaximal, Sylow
790C22×C61—41no—
791C22×C61—41no—
792C22×C61—41no—
793C22×C61—41no—
794C22×C61—41no—
795C22×C61—41no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61C23×D411yescharacteristic
800C2×D61—21no—
801C2×D61—21no—
802C2×D61—21no—
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—21no—
807C2×D61—21no—
808C2×D61—21no—
809C2×D61—22no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—21no—
818C4×C61—21no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61—41no—
824C4×C61C22×#4111yescharacteristic
825C4×C61#58511yescharacteristic
826Dic61—21no—
827Dic61—21no—
828Dic61—22no—
829Dic61—21no—
830Dic61—21no—
831Dic61—21no—
832Dic61—41no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401D6111yescharacteristic, complemented
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347—611no—
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—81no—
870C2×C61—81no—
871C2×C61—81no—
872C2×C61D4×#4111yescharacteristic
873C2×C61#358411yescharacteristic
874C2×C61#358411yescharacteristic
875D61—41no—
876D61—41no—
877D61—41no—
878D61—42no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—1221no—
883#559C2×D6111yescharacteristic, complemented
884#557—611no—
885#556—611no—
886#556C2×D6111yescharacteristic
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501—611no—
929#499—611no—
930#497C2×D6111yescharacteristic, complemented
931#496C2×D6111yescharacteristic
932#495C2×D6111yescharacteristic
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482—611no—
948#482—611no—
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476—611no—
961#475—611no—
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464C2×D6111yescharacteristic
978#464C2×D6111yescharacteristic, complemented
979#463—611no—
980#463—611no—
981#463C2×D6111yescharacteristic
982#463C2×D6111yescharacteristic
983#462—611no—
984#461C2×D6111yescharacteristic, complemented
985#460C2×D6111yescharacteristic, complemented
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448—611no—
998#447—611no—
999#446C2×D6111yescharacteristic, complemented
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442C2×D6111yescharacteristic
1004#441—611no—
1005#441—611no—
1006#441C2×D6111yescharacteristic, complemented
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16C2×D6111yescharacteristic, complemented
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16C22×D6111yescharacteristic
1063C2×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16C22×D6111yescharacteristic
1068C2×SD16C22×D6111yescharacteristic
1069C2×SD16C22×D6111yescharacteristic
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8C22×D6111yescharacteristic
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8—611no—
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—1221no—
1087#127C22×D6111yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—611no—
1091#126—611no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—1221no—
1118#124—1221no—
1119#124—1221no—
1120#124—1221no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124C22×D6111yescharacteristic
1125#124C22×D6111yescharacteristic
1126#124C22×D6111yescharacteristic
1127#124C22×D6111yescharacteristic
1128#123—21no—
1129#123—21no—
1130#123—611no—
1131#123—611no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—21no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—611no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161#121—611no—
1162#121—611no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—1221no—
1190C4×Q8—1221no—
1191C4×Q8—1221no—
1192C4×Q8—1221no—
1193C4×Q8C22×D6111yescharacteristic
1194C4×Q8C22×D6111yescharacteristic
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
1197C4×D4—21no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—611no—
1233#117—611no—
1234#117—611no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107—611no—
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
1273#106—611no—
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8C22×D6111yescharacteristic
1279C4⋊C8C22×D6111yescharacteristic
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103C22×D6111yescharacteristic
1295#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102—611no—
1308#102—611no—
1309#102—611no—
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8—611no—
1318C22⋊C8—611no—
1319#97—611no—
1320#97—611no—
1321#97C22×D6111yescharacteristic
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—611no—
1339C2×Q8—1221no—
1340C2×Q8—1221no—
1341C2×Q8—1221no—
1342C2×Q8—1222no—
1343C2×Q8—2441no—
1344C2×Q8D4×D6111yescharacteristic
1345C2×Q8C23×D6111yescharacteristic
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—611no—
1351C2×D4—611no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—1221no—
1355C2×D4—1221no—
1356C2×D4—1221no—
1357C2×D4—1222no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1221no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—2441no—
1367C2×D4C23×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—611no—
1377C22×C4—611no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392Q16—22no—
1393Q16—41no—
1394Q16—1222no—
1395Q16—1222no—
1396SD16—22no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—614no—
1402SD16—1222no—
1403SD16—1222no—
1404D8—22no—
1405D8—41no—
1406D8—1222no—
1407D8—1222no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—611no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—1222no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4D4×D6111yescharacteristic
1466C4⋊C4D4×D6111yescharacteristic
1467C4⋊C4D4×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—611no—
1488C22⋊C4—611no—
1489C22⋊C4—611no—
1490C22⋊C4—611no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—1221no—
1521C42—1221no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42C23×D6111yescharacteristic
1532C42C23×D6111yescharacteristic
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—611no—
1538C23—611no—
1539C23—611no—
1540C23—1221no—
1541C23—4881no—
1542C23—4881no—
1543C23—2442no—
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—41no—
1551Q8—612no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—4881no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—81no—
1563D4—81no—
1564D4—612no—
1565D4—1221no—
1566D4—4881no—
1567D4—4881no—
1568D4—4881no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—2441no—
1573D4—2441no—
1574D4—2441no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4—2442no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—611no—
1589C2×C4—611no—
1590C2×C4—611no—
1591C2×C4—611no—
1592C2×C4—611no—
1593C2×C4—1221no—
1594C2×C4—1221no—
1595C2×C4—1221no—
1596C2×C4—1221no—
1597C2×C4—1221no—
1598C2×C4—1221no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—4881no—
1607C2×C4—4881no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—2441no—
1616C2×C4—2441no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4C2×D4×D6111yescharacteristic
1623C2×C4C2×D4×D6111yescharacteristic
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—1221no—
1647C22—1221no—
1648C22—1221no—
1649C22—1222no—
1650C22—1221no—
1651C22—1221no—
1652C22—1221no—
1653C22—1221no—
1654C22—1221no—
1655C22—1221no—
1656C22—9762no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1222no—
1675C4—1221no—
1676C4—1221no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059711yescharacteristic
1685C2—81no—
1686C2—81no—
1687C2—81no—
1688C2—2441no—
1689C2—2441no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930911yescharacteristic
1693C2#2146059111yescharacteristic
1694C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3401C2
socleC22×C61C23×D4
hypercenter#3401D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #21459923C2semidirect
2. #21459886C2semidirect
3. #21458766C2semidirect
4. #21458500C2semidirect
5. #21458475C2semidirect
6. #21458384C2semidirect
7. #21458354C2semidirect
8. #21458324C2semidirect
9. #21457761C2semidirect
10. #21457750C2semidirect
11. #21457728C2semidirect
12. #21457713C2semidirect
13. #21457676C2semidirect
14. #21457661C2semidirect
15. #21457449C2semidirect
16. #21457373C2semidirect
17. #21457358C2semidirect
18. #21456499C2semidirect
19. #21456484C2semidirect
20. #21456386C2semidirect
21. #21456045C2semidirect
22. #21456030C2semidirect
23. #21456017C2semidirect
24. #21456002C2semidirect
25. #21455927C2semidirect
26. #21455925C2semidirect
27. #21454793C2semidirect
28. #21454661C2semidirect
29. #21454648C2semidirect
30. C4×#14519798C2semidirect
31. C61×#3401C2semidirect
36. #16840490C22semidirect
38. #16840477C22semidirect
53. #16840420C22semidirect
61. #16840366C22semidirect
68. #16840291C22semidirect
74. #16840238C22semidirect
77. C4×#11758224C22semidirect
78. #16840171C22semidirect
79. #16840171C22semidirect
80. #16840164C22semidirect
83. #16840116C22semidirect
84. #16840116C22semidirect
85. #16840112C22semidirect
86. #16840108C22semidirect
87. #16840102C22semidirect
89. #16840101C22semidirect
90. #16840101C22semidirect
95. #16840085C22semidirect
97. #16840079C22semidirect
98. #16840074C22semidirect
99. #16840070C22semidirect
100. #16840070C22semidirect
101. #16840069C22semidirect
102. #16840069C22semidirect
105. #16840062C22semidirect
106. #16840062C22semidirect
107. #16840057C22semidirect
109. #16840048C22semidirect
114. #16840005C22semidirect
116. #16840000C22semidirect
121. #16839988C22semidirect
122. #16839988C22semidirect
127. #16839969C22semidirect
132. #16839921C22semidirect
133. #16839916C22semidirect
141. Q8×#92418C22semidirect
144. #16839869C22semidirect
145. #16839866C22semidirect
149. #16839863C22semidirect
150. #16839863C22semidirect
152. Q16×Dic61C22semidirect
153. C4×#11758202C22semidirect
154. C4×#11758202C22semidirect
155. #16839854C22semidirect
158. SD16×Dic61C22semidirect
159. SD16×Dic61C22semidirect
169. #16839835C22semidirect
172. #16839827C22semidirect
174. #16839822C22semidirect
175. #16839818C22semidirect
177. #16839801C22semidirect
178. #16839797C22semidirect
182. #16839755C22semidirect
183. #103×D61C22semidirect
186. #16839719C22semidirect
187. C4×C8×D61C22semidirect
188. C61×#559C22semidirect
190. C61×#497C22semidirect
194. C61×#464C22semidirect
197. C61×#461C22semidirect
198. C61×#460C22semidirect
199. C61×#446C22semidirect
201. C61×#441C22semidirect
202. C4×SD16×C61C22semidirect
840. #3401D61semidirect
883. #559C2×D61semidirect
930. #497C2×D61semidirect
978. #464C2×D61semidirect
984. #461C2×D61semidirect
985. #460C2×D61semidirect
999. #446C2×D61semidirect
1006. #441C2×D61semidirect
1024. C4×SD16C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599232
#214598862
#214587662
#214585002
#214584752
#214583842
#214583542
#214583242
#214577612
#214577502
#214577282
#214577132
#214576762
#214576612
#214574492
#214573732
#214573582
#214564992
#214564842
#214563862
#214560452
#214560302
#214560172
#214560022
#214559272
#214559252
#214547932
#214546612
#214546482
C4×#145197982
C61×#34012
#6150061