Finite Group Databasebeta

← #30566906

Subgroups — #30566906

Order 15616.

2082 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460179C211yesmaximal, characteristic, complemented
2#21459587C211yesmaximal, characteristic, complemented
3#21457996C211yesmaximal, characteristic, complemented
4#21457994C211yesmaximal, characteristic, complemented
5#21457892C211yesmaximal, characteristic, complemented
6#21457890C211yesmaximal, characteristic, complemented
7#21457820C211yesmaximal, characteristic, complemented
8#21457818C211yesmaximal, characteristic, complemented
9#21457812C211yesmaximal, characteristic, complemented
10#21457810C211yesmaximal, characteristic, complemented
11#21457400C211yesmaximal, characteristic, complemented
12#21457363C211yesmaximal, characteristic, complemented
13#21457359C211yesmaximal, characteristic, complemented
14#21457327C211yesmaximal, characteristic, complemented
15#21457323C211yesmaximal, characteristic, complemented
16#21457313C211yesmaximal, characteristic, complemented
17#21457309C211yesmaximal, characteristic, complemented
18#21456861C211yesmaximal, characteristic, complemented
19#21456809C211yesmaximal, characteristic, complemented
20#21456720C211yesmaximal, characteristic, complemented
21#21456718C211yesmaximal, characteristic, complemented
22#21456674C211yesmaximal, characteristic, complemented
23#21456666C211yesmaximal, characteristic, complemented
24#21455994C211yesmaximal, characteristic, complemented
25#21455940C211yesmaximal, characteristic, complemented
26#21455133C211yesmaximal, characteristic, complemented
27#21455130C211yesmaximal, characteristic, complemented
28#21455102C211yesmaximal, characteristic, complemented
29#21455100C211yesmaximal, characteristic, complemented
30#21454887C211yesmaximal, characteristic, complemented
31C61×#3271C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519824C2211yescharacteristic, complemented
34C2×#14519807C2211yescharacteristic, complemented
35C2×#14519804C2211yescharacteristic
36C2×#14519801C2211yescharacteristic
37C2×#14519797C2211yescharacteristic, complemented
38C2×SD16×D61C2211yescharacteristic
39C2×SD16×D61C2211yescharacteristic
40#16840500—21no—
41#16840500—21no—
42#16840485C2211yescharacteristic
43#16840464C2211yescharacteristic
44#16840464C2211yescharacteristic
45#16840432—21no—
46#16840431C2211yescharacteristic, complemented
47#16840430—21no—
48#16840430C2211yescharacteristic, complemented
49Q8×C22⋊D61C2211yescharacteristic, complemented
50#16840425—21no—
51#16840425C2211yescharacteristic, complemented
52#16840424C2211yescharacteristic
53#16840421—21no—
54#16840421C2211yescharacteristic, complemented
55#16840420—21no—
56#16840420C2211yescharacteristic
57#16840416C2211yescharacteristic
58#16840407—21no—
59#16840400C2211yescharacteristic
60#16840400C2211yescharacteristic
61#16840397C2211yescharacteristic
62#16840377—21no—
63#16840349—21no—
64#16840349—21no—
65#16840342—21no—
66#16840342C2211yescharacteristic, complemented
67#16840341—21no—
68#16840341C2211yescharacteristic, complemented
69#16840340C2211yescharacteristic
70#16840340C2211yescharacteristic
71#16840328C2211yescharacteristic
72#16840328C2211yescharacteristic
73#16840325—21no—
74#16840311—21no—
75#16840311C2211yescharacteristic, complemented
76#16840310C2211yescharacteristic
77#16840309—21no—
78#16840309C2211yescharacteristic
79#16840299C2211yescharacteristic
80C4×Q8×D61C2211yescharacteristic, complemented
81#16840155C2211yescharacteristic
82#16840149C2211yescharacteristic
83#16840148C2211yescharacteristic
84#16840129C2211yescharacteristic, complemented
85#16840125C2211yescharacteristic, complemented
86#16840122C2211yescharacteristic, complemented
87#16840121C2211yescharacteristic, complemented
88#16840106C2211yescharacteristic, complemented
89#16840102C2211yescharacteristic, complemented
90#16840098C2211yescharacteristic, complemented
91#16840096C2211yescharacteristic, complemented
92#16840095C2211yescharacteristic, complemented
93#16840088C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840082C2211yescharacteristic
96#16840076C2211yescharacteristic, complemented
97#16840074C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840073C2211yescharacteristic, complemented
100#16840072C2211yescharacteristic, complemented
101#16840071C2211yescharacteristic, complemented
102#16840058C2211yescharacteristic, complemented
103#16840057C2211yescharacteristic, complemented
104#16840013C2211yescharacteristic, complemented
105#16840011C2211yescharacteristic, complemented
106#16840010C2211yescharacteristic
107#16840008C2211yescharacteristic
108#16840007C2211yescharacteristic
109#16840005C2211yescharacteristic
110#16840005C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic, complemented
113#16839998C2211yescharacteristic
114#16839997C2211yescharacteristic
115#16839996C2211yescharacteristic
116#16839995C2211yescharacteristic
117#16839989C2211yescharacteristic, complemented
118#16839987C2211yescharacteristic
119#16839986C2211yescharacteristic
120#16839984C2211yescharacteristic, complemented
121#16839978C2211yescharacteristic
122#16839974C2211yescharacteristic
123#16839965C2211yescharacteristic, complemented
124#16839965C2211yescharacteristic, complemented
125#16839959C2211yescharacteristic
126#16839955C2211yescharacteristic, complemented
127#16839955C2211yescharacteristic, complemented
128#16839924C2211yescharacteristic, complemented
129#16839923C2211yescharacteristic, complemented
130#16839923C2211yescharacteristic, complemented
131#16839921C2211yescharacteristic, complemented
132#16839921C2211yescharacteristic, complemented
133#16839916C2211yescharacteristic, complemented
134#16839916C2211yescharacteristic, complemented
135#16839916C2211yescharacteristic, complemented
136#16839914C2211yescharacteristic
137#16839911C2211yescharacteristic
138#16839910C2211yescharacteristic
139#16839909C2211yescharacteristic
140#16839908C2211yescharacteristic
141#16839907C2211yescharacteristic
142#16839907C2211yescharacteristic, complemented
143#16839906C2211yescharacteristic
144#16839906C2211yescharacteristic, complemented
145#16839906C2211yescharacteristic, complemented
146#16839905C2211yescharacteristic, complemented
147#16839904C2211yescharacteristic
148#16839904C2211yescharacteristic, complemented
149#16839904C2211yescharacteristic, complemented
150#16839903C2211yescharacteristic
151#16839902C2211yescharacteristic
152#16839901C2211yescharacteristic
153#16839900C2211yescharacteristic, complemented
154#16839899C2211yescharacteristic
155#16839899C2211yescharacteristic
156#16839899C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839897C2211yescharacteristic
159#16839894C2211yescharacteristic
160#16839867C2211yescharacteristic, complemented
161#16839864C2211yescharacteristic
162#16839863C2211yescharacteristic, complemented
163#16839863C2211yescharacteristic, complemented
164#16839860C2211yescharacteristic
165#16839859C2211yescharacteristic, complemented
166#16839859C2211yescharacteristic, complemented
167#16839836C2211yescharacteristic, complemented
168#16839835C2211yescharacteristic
169#16839834C2211yescharacteristic, complemented
170#16839833C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic
172#16839831C2211yescharacteristic, complemented
173#16839830C2211yescharacteristic, complemented
174#16839818C2211yescharacteristic, complemented
175#16839817C2211yescharacteristic, complemented
176#16839769C2211yescharacteristic, complemented
177#16839769C2211yescharacteristic, complemented
178#16839764C2211yescharacteristic, complemented
179#16839763C2211yescharacteristic, complemented
180#16839757C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182C2×#14519702C2211yescharacteristic, complemented
183C2×#14519701C2211yescharacteristic, complemented
184#16839730C2211yescharacteristic, complemented
185#16839728C2211yescharacteristic, complemented
186#16839727C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188C2×#137×C61C2211yescharacteristic, complemented
189C2×#135×C61C2211yescharacteristic, complemented
190C61×#550C2211yescharacteristic
191C61×#548C2211yescharacteristic, complemented
192C61×#496C2211yescharacteristic
193C61×#469C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic
197C61×#452C2211yescharacteristic, complemented
198C61×#449C2211yescharacteristic, complemented
199C61×#449C2211yescharacteristic, complemented
200C61×#448C2211yescharacteristic, complemented
201C61×#441C2211yescharacteristic, complemented
202C61×#435C2211yescharacteristic, complemented
203#14519825—42no—
204#14519825—42no—
205#14519824—42no—
206#14519824—42no—
207C2×#11758226—21no—
208C2×#11758226C2311yescharacteristic
209C2×#11758226C2311yescharacteristic
210C2×#11758222—21no—
211C2×#11758222—21no—
212C2×#11758222—21no—
213C2×#11758222C2311yescharacteristic
214C2×#11758222C2311yescharacteristic
215C2×#11758222C2311yescharacteristic
216C2×#11758224—21no—
217C2×#11758224—21no—
218C2×#11758224—21no—
219C2×#11758224—21no—
220C2×#11758224C2311yescharacteristic
221C2×#11758224C2311yescharacteristic
222C22×Dic122—21no—
223C22×Dic122C2311yescharacteristic
224C2×Q8×D61—21no—
225C2×Q8×D61C2311yescharacteristic
226C2×Q8×D61C2311yescharacteristic
227C2×Q8×D61C2311yescharacteristic
228C2×D4×D61—21no—
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231#14519807—42no—
232#14519804—42no—
233#14519801—42no—
234#14519797—42no—
235C2×#11758202C2311yescharacteristic
236C2×#11758202C2311yescharacteristic
237C2×#11758190C2311yescharacteristic
238C2×#11758190C2311yescharacteristic
239C2×#11758200C2311yescharacteristic
240C2×#11758200C2311yescharacteristic
241C2×#11758200C2311yescharacteristic
242C2×#11758200C2311yescharacteristic
243C2×#11758201C2311yescharacteristic
244C2×#11758201C2311yescharacteristic
245C2×#11758201C2311yescharacteristic
246SD16×D61—42no—
247SD16×D61—42no—
248C2×D488C2311yescharacteristic
249C2×#11758199C2311yescharacteristic
250C2×#11758199C2311yescharacteristic
251C2×#11758199C2311yescharacteristic
252C2×#11758194C2311yescharacteristic
253C2×#11758189C2311yescharacteristic
254C2×#11758189C2311yescharacteristic
255C22×#92418C2311yescharacteristic
256C2×C8×D61C2311yescharacteristic
257C2×C8×D61C2311yescharacteristic
258#14519777C2311yescharacteristic
259#14519776—21no—
260#14519776D411yescharacteristic
261#14519775—21no—
262#14519775C2311yescharacteristic
263#14519773—21no—
264#14519773—21no—
265#14519773—21no—
266#14519773—21no—
267#14519773D411yescharacteristic
268#14519773C2311yescharacteristic
269#14519772—21no—
270#14519772—21no—
271#14519772—21no—
272#14519770—21no—
273#14519770—21no—
274#14519768C2311yescharacteristic
275#14519766C2311yescharacteristic
276#14519765—21no—
277#14519765—21no—
278#14519765C2311yescharacteristic
279#14519764—21no—
280#14519763—21no—
281#14519763—21no—
282#14519763—21no—
283#14519763—21no—
284#14519763D411yescharacteristic
285#14519763D411yescharacteristic
286#14519762—21no—
287#14519761—21no—
288#14519761—21no—
289#14519761—21no—
290#14519761—21no—
291#14519760—21no—
292#14519760—21no—
293#14519757—21no—
294#14519757—21no—
295#14519757C2311yescharacteristic
296#14519756—21no—
297#14519756—21no—
298#14519756—21no—
299#14519756C2311yescharacteristic
300#14519755—21no—
301#14519755—21no—
302#14519755—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753—21no—
307#14519753C2311yescharacteristic
308#14519753C2311yescharacteristic
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519752—21no—
312#14519752—21no—
313#14519752D411yescharacteristic
314#14519752C2311yescharacteristic
315#14519752C2311yescharacteristic
316#14519751—21no—
317#14519751—21no—
318#14519751—21no—
319#14519751C2311yescharacteristic
320#14519751C2311yescharacteristic
321#14519751C2311yescharacteristic
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519750—21no—
327#14519750—21no—
328#14519750—21no—
329#14519750D411yescharacteristic
330#14519750D411yescharacteristic
331#14519749—21no—
332#14519749—21no—
333#14519749—21no—
334#14519749—21no—
335#14519749—21no—
336#14519749—21no—
337#14519749—21no—
338#14519749—21no—
339#14519749—21no—
340#14519749—21no—
341#14519749—21no—
342#14519748—21no—
343#14519748—21no—
344#14519748—21no—
345#14519748—21no—
346#14519748D411yescharacteristic
347#14519748C2311yescharacteristic
348#14519748C2311yescharacteristic
349#14519748C2311yescharacteristic
350#14519748C2311yescharacteristic
351#14519748C2311yescharacteristic
352#14519747—21no—
353#14519747—21no—
354#14519745—21no—
355#14519745—21no—
356#14519745—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360Q8×Dic61C2311yescharacteristic
361C4×Dic122—21no—
362C4×Dic122—21no—
363C4×Dic122C2311yescharacteristic
364#14519742—21no—
365#14519742C2311yescharacteristic
366C4×D244—21no—
367C4×D244—21no—
368C4×D244C2311yescharacteristic
369C4×D244C2311yescharacteristic
370D4×Dic61—21no—
371D4×Dic61—21no—
372D4×Dic61—21no—
373D4×Dic61C2311yescharacteristic
374D4×Dic61C2311yescharacteristic
375C4×C22⋊D61—21no—
376C4×C22⋊D61—21no—
377C4×C22⋊D61C2311yescharacteristic
378C4×C22⋊D61C2311yescharacteristic
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519737—21no—
384#14519737—21no—
385#14519735C2311yescharacteristic
386#14519735C2311yescharacteristic
387#14519734—21no—
388C2×C4⋊Dic61C2311yescharacteristic
389C2×C4⋊Dic61C2311yescharacteristic
390C4⋊C4×D61—21no—
391C4⋊C4×D61C2311yescharacteristic
392C2×#11758198—21no—
393C2×#11758198—21no—
394C42×D61—21no—
395C42×D61C2311yescharacteristic
396#14519711C2311yescharacteristic
397#14519711C2311yescharacteristic
398#14519711C2311yescharacteristic
399#14519710C2311yescharacteristic
400#14519710C2311yescharacteristic
401#14519710C2311yescharacteristic
402#14519708C2311yescharacteristic
403C4⋊#92418C2311yescharacteristic
404#14519706C2311yescharacteristic
405#14519706C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519701C2311yescharacteristic
414#14519701C2311yescharacteristic
415#14519701C2311yescharacteristic
416#14519701C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519700C2311yescharacteristic
420#14519700C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432C22⋊#92418C2311yescharacteristic
433C22⋊#92418C2311yescharacteristic
434#14519689C2311yescharacteristic
435#14519689C2311yescharacteristic
436#14519689C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519688C2311yescharacteristic
443#14519687C2311yescharacteristic
444#14519687C2311yescharacteristic
445C2×#41×C61C2311yescharacteristic
446C2×#41×C61C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×Q8×C61C2311yescharacteristic
449#137×C61—42no—
450#135×C61—42no—
451C2×Q16×C61C2311yescharacteristic
452C2×Q16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C2×SD16×C61C2311yescharacteristic
458C2×D8×C61C2311yescharacteristic
459C2×D8×C61C2311yescharacteristic
460C2×M16×C61C2311yescharacteristic
461C22×C8×C61C2311yescharacteristic
462#127×C61—21no—
463#127×C61C2311yescharacteristic
464#124×C61—21no—
465#124×C61C2311yescharacteristic
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61C2311yescharacteristic
468#121×C61—21no—
469#121×C61—21no—
470#121×C61—21no—
471#121×C61C2311yescharacteristic
472#121×C61C2311yescharacteristic
473#121×C61C2311yescharacteristic
474C4×Q8×C61C2311yescharacteristic
475C4×Q8×C61C2311yescharacteristic
476C4×D4×C61—21no—
477C4×D4×C61—21no—
478C4×D4×C61C2311yescharacteristic
479#106×C61C2311yescharacteristic
480C4⋊C8×C61C2311yescharacteristic
481#103×C61C2311yescharacteristic
482#103×C61C2311yescharacteristic
483#103×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486#102×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488C22⋊C8×C61C2311yescharacteristic
489#97×C61C2311yescharacteristic
490C23×D61—21no—
491C23×D61—21no—
492#41×C61—22no—
493#41×C61—41no—
494#41×C61—41no—
495#41×C61—41no—
496#41×C61—41no—
497#41×C61—41no—
498C2×Q8×C61—21no—
499C2×Q8×C61—22no—
500C2×Q8×C61—41no—
501C2×Q8×C61C2411yescharacteristic
502C2×Q8×C61C2411yescharacteristic
503C2×Q8×C61C2411yescharacteristic
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61C2×D411yescharacteristic
513C2×D4×C61C2411yescharacteristic
514C2×D4×C61C2411yescharacteristic
515C2×D4×C61C2411yescharacteristic
516C22×C4×C61—21no—
517C22×C4×C61—21no—
518C22×C4×C61—21no—
519C22×C4×C61—21no—
520C22×C4×C61C2411yescharacteristic
521C22×C4×C61C2411yescharacteristic
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61C2×D411yescharacteristic
538C2×C22⋊D61C2×D411yescharacteristic
539C2×C22⋊D61C2×D411yescharacteristic
540C2×C22⋊D61C2×D411yescharacteristic
541C2×C22⋊D61C2×D411yescharacteristic
542C2×C22⋊D61C2×D411yescharacteristic
543C22×Dic61—21no—
544C22×Dic61—21no—
545C22×Dic61—21no—
546C22×Dic61—21no—
547C22×Dic61—21no—
548C22×Dic61—21no—
549C22×Dic61—21no—
550#11758226—22no—
551#11758226—41no—
552#11758226—41no—
553#11758226—41no—
554#11758226—44no—
555Q8×D61—22no—
556Q8×D61—22no—
557Q8×D61—22no—
558Q8×D61—22no—
559Q8×D61—41no—
560Q8×D61—41no—
561Q8×D61—44no—
562#11758224—22no—
563#11758224—41no—
564#11758224—41no—
565#11758224—41no—
566#11758224—44no—
567#11758224—44no—
568#11758224—82no—
569#11758224—82no—
570D4×D61—41no—
571D4×D61—41no—
572D4×D61—41no—
573D4×D61—41no—
574D4×D61—82no—
575#11758222—22no—
576#11758222—41no—
577#11758222—44no—
578#11758222—41no—
579#11758222—41no—
580#11758222—41no—
581#11758222—41no—
582#11758222—44no—
583#11758222—44no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—21no—
587C2×D244—21no—
588C2×D244C2×D411yescharacteristic
589C2×D244C2×D411yescharacteristic
590C2×D244C2×D411yescharacteristic
591C2×D244C2411yescharacteristic
592C2×D244C2411yescharacteristic
593C2×C4×D61—21no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—21no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2411yescharacteristic
604C2×C4×D61C2411yescharacteristic
605C2×C4×D61C2411yescharacteristic
606C2×Dic122—21no—
607C2×Dic122—22no—
608C2×Dic122—21no—
609C2×Dic122—21no—
610C2×Dic122—21no—
611C2×Dic122—21no—
612C2×Dic122—41no—
613C2×Dic122—44no—
614C2×Dic122C2×D411yescharacteristic
615C2×Dic122C2×D411yescharacteristic
616C2×Dic122C2411yescharacteristic
617C2×Dic122C2411yescharacteristic
618Q16×C61—22no—
619Q16×C61—41no—
620SD16×C61—22no—
621SD16×C61—22no—
622SD16×C61—41no—
623SD16×C61—41no—
624SD16×C61—41no—
625D8×C61—41no—
626D8×C61—41no—
627M16×C61—41no—
628C2×C8×C61—41no—
629C2×C8×C61C2411yescharacteristic
630C2×C8×C61C2411yescharacteristic
631C2×C8×C61C2411yescharacteristic
632C2×C8×C61C2411yescharacteristic
633C4⋊C4×C61—21no—
634C4⋊C4×C61—21no—
635C4⋊C4×C61—21no—
636C4⋊C4×C61C2×D411yescharacteristic
637C4⋊C4×C61C2411yescharacteristic
638C4⋊C4×C61C2411yescharacteristic
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61—21no—
642C22⋊C4×C61—21no—
643C22⋊C4×C61—21no—
644C22⋊C4×C61—21no—
645C22⋊C4×C61C2×D411yescharacteristic
646C22⋊C4×C61C2×D411yescharacteristic
647C42×C61—21no—
648C42×C61—21no—
649C42×C61C2411yescharacteristic
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61—21no—
654C22⋊Dic61—21no—
655C22⋊Dic61—21no—
656C22⋊Dic61—21no—
657C22⋊Dic61—21no—
658C22⋊Dic61C2×D411yescharacteristic
659C22⋊Dic61C2×D411yescharacteristic
660#11758202—22no—
661#11758202—41no—
662#11758201—22no—
663#11758201—41no—
664#11758201—41no—
665#11758200—22no—
666#11758200—22no—
667#11758200—41no—
668#11758200—41no—
669#11758199—41no—
670#11758199—41no—
671#11758199—41no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198C2×D411yescharacteristic
690#11758198C2×D411yescharacteristic
691#11758198C2×D411yescharacteristic
692#11758198C2×D411yescharacteristic
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61—21no—
698C4⋊Dic61—21no—
699C4⋊Dic61C2×D411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702C4⋊Dic61C2411yescharacteristic
703C4⋊Dic61C2411yescharacteristic
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196—21no—
711#11758196—21no—
712#11758196—21no—
713#11758196—21no—
714#11758196—21no—
715#11758196C2×D411yescharacteristic
716#11758196C2×D411yescharacteristic
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C4×Dic61C2×D411yescharacteristic
723C4×Dic61C2×D411yescharacteristic
724C4×Dic61C2411yescharacteristic
725#11758194—41no—
726C2×#92418—41no—
727C2×#92418C2411yescharacteristic
728C2×#92418C2411yescharacteristic
729C2×#92418C2411yescharacteristic
730C2×#92418C2411yescharacteristic
731D488—41no—
732#11758190—22no—
733#11758190—41no—
734#11758189—41no—
735#11758189—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61C22×D411yescharacteristic
742C23×C61C22×D411yescharacteristic
743C22×D61—21no—
744C22×D61—21no—
745C22×D61—81no—
746C22×D61—81no—
747C22×D61—81no—
748C22×D61—81no—
749C22×D61—81no—
750C22×D61—81no—
751C22×D61C22×D411yescharacteristic
752C22×D61C22×D411yescharacteristic
753C22×D61C22×D411yescharacteristic
754Q8×C61—21no—
755Q8×C61—21no—
756Q8×C61—21no—
757Q8×C61—21no—
758Q8×C61—21no—
759Q8×C61—42no—
760Q8×C61H(5,𝔽2)12yes—
761D4×C61—21no—
762D4×C61—21no—
763D4×C61—21no—
764D4×C61—21no—
765D4×C61—21no—
766D4×C61—21no—
767D4×C61—41no—
768D4×C61—42no—
769D4×C61—42no—
770D4×C61—81no—
771D4×C61—81no—
772D4×C61—81no—
773D4×C61—81no—
774D4×C61—81no—
775D4×C61—81no—
776C2×C4×C61—21no—
777C2×C4×C61—21no—
778C2×C4×C61—21no—
779C2×C4×C61—21no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—42no—
786C2×C4×C61—42no—
787C2×C4×C61—81no—
788C2×C4×C61—81no—
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C22×D411yescharacteristic
792C2×C4×C61C22×D411yescharacteristic
793C2×C4×C61C2511yescharacteristic
794C22⋊D61—41no—
795C22⋊D61—41no—
796C22⋊D61—41no—
797C22⋊D61—41no—
798C22⋊D61—41no—
799C22⋊D61—41no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—42no—
804C22⋊D61—81no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C22⋊D61—81no—
810C22⋊D61—81no—
811C22⋊D61—81no—
812C22⋊D61—81no—
813C22⋊D61—81no—
814C22⋊D61—81no—
815C2×Dic61—21no—
816C2×Dic61—21no—
817C2×Dic61—21no—
818C2×Dic61—21no—
819C2×Dic61—21no—
820C2×Dic61—21no—
821C2×Dic61—42no—
822C2×Dic61—42no—
823C2×Dic61—42no—
824C2×Dic61—81no—
825C2×Dic61—81no—
826C2×Dic61—81no—
827C2×Dic61—81no—
828C2×Dic61C22×D411yescharacteristic
829C2×Dic61C22×D411yescharacteristic
830C2×Dic61C22×D411yescharacteristic
831C2×Dic61C22×D411yescharacteristic
832C2×Dic61C22×D411yescharacteristic
833D244—21no—
834D244—21no—
835D244—21no—
836D244—21no—
837D244—41no—
838D244—41no—
839D244—41no—
840D244—42no—
841D244—42no—
842D244—81no—
843D244—81no—
844C4×D61—24no—
845C4×D61—21no—
846C4×D61—21no—
847C4×D61—21no—
848C4×D61—21no—
849C4×D61—21no—
850C4×D61—21no—
851C4×D61—41no—
852C4×D61—41no—
853C4×D61—42no—
854C4×D61—42no—
855C4×D61—42no—
856C4×D61—42no—
857C4×D61—42no—
858C4×D61—42no—
859C4×D61—81no—
860Dic122—24no—
861Dic122—21no—
862Dic122—21no—
863Dic122—21no—
864Dic122—41no—
865Dic122—41no—
866Dic122—42no—
867Dic122—42no—
868Dic122—42no—
869Dic122—42no—
870Dic122H(5,𝔽2)12yes—
871C8×C61—21no—
872C8×C61—21no—
873C8×C61—21no—
874C8×C61—21no—
875#92418—21no—
876#92418—21no—
877#92418—21no—
878#92418—21no—
879#61671—611nomaximal, Sylow
880C22×C61—21no—
881C22×C61—21no—
882C22×C61—21no—
883C22×C61—21no—
884C22×C61—21no—
885C22×C61—21no—
886C22×C61—41no—
887C22×C61—41no—
888C22×C61—41no—
889C22×C61—41no—
890C22×C61—41no—
891C22×C61—41no—
892C22×C61—41no—
893C22×C61—41no—
894C22×C61—41no—
895C22×C61C23×D411yescharacteristic
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—21no—
902C2×D61—21no—
903C2×D61—21no—
904C2×D61—21no—
905C2×D61—41no—
906C2×D61—41no—
907C2×D61—41no—
908C2×D61—41no—
909C2×D61—41no—
910C2×D61—41no—
911C2×D61—162no—
912C2×D61—162no—
913C4×C61—21no—
914C4×C61—21no—
915C4×C61—22no—
916C4×C61—21no—
917C4×C61—21no—
918C4×C61—41no—
919C4×C61—41no—
920C4×C61—41no—
921C4×C61—41no—
922C4×C61C2×H(5,𝔽2)11yescharacteristic
923C4×C61C2×H(5,𝔽2)11yescharacteristic
924Dic61—21no—
925Dic61—21no—
926Dic61—21no—
927Dic61—22no—
928Dic61—21no—
929Dic61—21no—
930Dic61—41no—
931Dic61—41no—
932Dic61—41no—
933Dic61—41no—
934Dic61—41no—
935#3546—611no—
936#3497—611no—
937#3320—611no—
938#3320—611no—
939#3313—611no—
940#3313—611no—
941#3309—611no—
942#3309—611no—
943#3308—611no—
944#3308—611no—
945#3271—611no—
946#3271D6111yescharacteristic, complemented
947#3268—611no—
948#3268—611no—
949#3266—611no—
950#3266—611no—
951#3265—611no—
952#3265—611no—
953#3219—611no—
954#3214—611no—
955#3203—611no—
956#3203—611no—
957#3198—611no—
958#3198—611no—
959#3117—611no—
960#3112—611no—
961#3013—611no—
962#3013—611no—
963#3010—611no—
964#3010—611no—
965#2980—611no—
966C2×C61—41no—
967C2×C61—41no—
968C2×C61—81no—
969C2×C61—81no—
970C2×C61—81no—
971C2×C61#348411yescharacteristic
972C2×C61#358511yescharacteristic
973C2×C61#358611yescharacteristic
974D61—41no—
975D61—41no—
976D61—41no—
977D61—81no—
978D61—81no—
979C2×2−1+4—611no—
980C2×2−1+4—611no—
981C2×#137—611no—
982C2×#137C2×D6111yescharacteristic, complemented
983C2×AGL(1,ℤ/8)—611no—
984C2×AGL(1,ℤ/8)—611no—
985C2×#135—611no—
986C2×#135C2×D6111yescharacteristic, complemented
987C22×SD16—611no—
988C22×SD16—611no—
989#560—1221no—
990#560—1221no—
991#556—611no—
992#553—611no—
993#553—611no—
994#550—611no—
995#550—611no—
996#550—1221no—
997#550—1221no—
998#550C2×D6111yescharacteristic
999D4×Q8—611no—
1000D4×Q8—611no—
1001D4×Q8—1221no—
1002#548—611no—
1003#548—611no—
1004#548—611no—
1005#548—1221no—
1006#548—1221no—
1007#548C2×D6111yescharacteristic, complemented
1008#547—611no—
1009#546—611no—
1010#546—611no—
1011#546—1221no—
1012D42—611no—
1013#542—1221no—
1014#538—1221no—
1015#538—1221no—
1016#537—611no—
1017#537—611no—
1018#537—611no—
1019#537—611no—
1020#537—1221no—
1021#537—1221no—
1022#535—611no—
1023#535—611no—
1024#535—1221no—
1025#532—611no—
1026#532—611no—
1027#532—611no—
1028#532—1221no—
1029#532—1221no—
1030#529—611no—
1031C2×C4×Q8—611no—
1032#497—611no—
1033#496—611no—
1034#496—611no—
1035#496C2×D6111yescharacteristic
1036#491—611no—
1037#490—611no—
1038#489—611no—
1039#489—611no—
1040#485—611no—
1041#485—611no—
1042#484—611no—
1043#484—611no—
1044#484—611no—
1045#482—611no—
1046#482—611no—
1047#481—611no—
1048#480—611no—
1049#480—611no—
1050#480—611no—
1051#480—611no—
1052#479—611no—
1053#479—611no—
1054#477—611no—
1055#477—611no—
1056#469—611no—
1057#469C2×D6111yescharacteristic, complemented
1058#468—611no—
1059#468—611no—
1060#468—611no—
1061#468—611no—
1062#468—611no—
1063#468—611no—
1064#467—611no—
1065#467—611no—
1066#466—611no—
1067#466—611no—
1068#466—611no—
1069#466—611no—
1070#465—611no—
1071#465C2×D6111yescharacteristic, complemented
1072#464—611no—
1073#464—611no—
1074#464—611no—
1075#464C2×D6111yescharacteristic, complemented
1076#463—611no—
1077#463—611no—
1078#461—611no—
1079#461—611no—
1080#460—611no—
1081#460C2×D6111yescharacteristic
1082#459—611no—
1083#459—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452C2×D6111yescharacteristic, complemented
1090#451—611no—
1091#451—611no—
1092#451—611no—
1093#450—611no—
1094#450—611no—
1095#449—611no—
1096#449—611no—
1097#449—611no—
1098#449—611no—
1099#449—611no—
1100#449—611no—
1101#449—611no—
1102#449—611no—
1103#449—611no—
1104#449—611no—
1105#449—611no—
1106#449—611no—
1107#449C2×D6111yescharacteristic, complemented
1108#449C2×D6111yescharacteristic, complemented
1109#448—611no—
1110#448—611no—
1111#448—611no—
1112#448—611no—
1113#448—611no—
1114#448—611no—
1115#448—611no—
1116#448—611no—
1117#448C2×D6111yescharacteristic, complemented
1118#447—611no—
1119#447—611no—
1120#441—611no—
1121#441C2×D6111yescharacteristic, complemented
1122#440—611no—
1123#440—611no—
1124#440—611no—
1125#440—611no—
1126#440—611no—
1127#440—611no—
1128#435—611no—
1129#435—611no—
1130#435—611no—
1131#435—611no—
1132#435—611no—
1133#435—611no—
1134#435—611no—
1135#435C2×D6111yescharacteristic, complemented
1136#432—611no—
1137#432—611no—
1138#419—611no—
1139#419—611no—
1140#417—611no—
1141#417—611no—
1142#416—611no—
1143#416—611no—
1144C2×#103—611no—
1145C2×#103—611no—
1146#408—611no—
1147#408—611no—
1148#408—611no—
1149#408—611no—
1150C61#6167111yescharacteristic, complemented, Sylow
11512−1+4—2442no—
11522−1+4—2442no—
11532−1+4—2442no—
11542−1+4—2442no—
1155C2×#41—611no—
1156C2×#41—611no—
1157C2×#41—611no—
1158C2×#41—611no—
1159C2×#41—611no—
1160C2×#41—611no—
1161C2×#41—611no—
1162C2×#41—1221no—
1163C2×#41—1221no—
1164C2×#41—1221no—
1165C2×#41—1221no—
1166C2×#41—1221no—
1167C2×#41—1221no—
1168C2×#41—1221no—
1169C2×#41—1221no—
1170C2×#41C22×D6111yescharacteristic
1171C2×#41C22×D6111yescharacteristic
1172C2×#41C22×D6111yescharacteristic
1173C22×Q8—611no—
1174C22×Q8—611no—
1175C22×Q8—611no—
1176C22×Q8—611no—
1177C22×Q8—1221no—
1178C22×Q8—1221no—
1179C22×Q8C22×D6111yescharacteristic
1180C22×D4—611no—
1181C22×D4—611no—
1182C22×D4—1221no—
1183#137—42no—
1184#137—2442no—
1185AGL(1,ℤ/8)—2442no—
1186AGL(1,ℤ/8)—2442no—
1187#135—42no—
1188#135—2442no—
1189C2×Q16—611no—
1190C2×Q16—611no—
1191C2×Q16C22×D6111yescharacteristic
1192C2×Q16C22×D6111yescharacteristic
1193C2×SD16—611no—
1194C2×SD16—611no—
1195C2×SD16—611no—
1196C2×SD16—611no—
1197C2×SD16—611no—
1198C2×SD16—611no—
1199C2×SD16—611no—
1200C2×SD16—611no—
1201C2×SD16—611no—
1202C2×SD16—2442no—
1203C2×SD16—2442no—
1204C2×SD16C22×D6111yescharacteristic
1205C2×SD16C22×D6111yescharacteristic
1206C2×SD16C22×D6111yescharacteristic
1207C2×SD16C22×D6111yescharacteristic
1208C2×SD16C22×D6111yescharacteristic
1209C2×D8—611no—
1210C2×D8—611no—
1211C2×D8—611no—
1212C2×D8—611no—
1213C2×D8C22×D6111yescharacteristic
1214C2×D8C22×D6111yescharacteristic
1215C2×M16—611no—
1216C2×M16—611no—
1217C2×M16—611no—
1218C2×M16C22×D6111yescharacteristic
1219C22×C8—611no—
1220C22×C8—611no—
1221C22×C8—611no—
1222C22×C8C22×D6111yescharacteristic
1223C4⋊Q8—611no—
1224C4⋊Q8—611no—
1225C4⋊Q8—611no—
1226C4⋊Q8—1221no—
1227C4⋊Q8—1221no—
1228#127—21no—
1229#127—611no—
1230#127—611no—
1231#127—1221no—
1232#127—1221no—
1233#127—1221no—
1234#127—1221no—
1235#127C22×D6111yescharacteristic
1236#126—1221no—
1237#126—1221no—
1238#126—1221no—
1239#126—1221no—
1240#126—1221no—
1241#125—611no—
1242#124—21no—
1243#124—611no—
1244#124—611no—
1245#124—611no—
1246#124—611no—
1247#124—1221no—
1248#124—1221no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124—1221no—
1253#124—1221no—
1254#124C22×D6111yescharacteristic
1255#123—1221no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262C22⋊Q8—21no—
1263C22⋊Q8—611no—
1264C22⋊Q8—611no—
1265C22⋊Q8—611no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—1221no—
1270C22⋊Q8—1221no—
1271C22⋊Q8—1221no—
1272C22⋊Q8—1221no—
1273C22⋊Q8—1221no—
1274C22⋊Q8—1221no—
1275C22⋊Q8—1221no—
1276C22⋊Q8—1221no—
1277C22⋊Q8—1221no—
1278C22⋊Q8—1221no—
1279C22⋊Q8—1221no—
1280C22⋊Q8—1221no—
1281C22⋊Q8C22×D6111yescharacteristic
1282#121—21no—
1283#121—21no—
1284#121—21no—
1285#121—611no—
1286#121—611no—
1287#121—611no—
1288#121—611no—
1289#121—611no—
1290#121—611no—
1291#121—611no—
1292#121—611no—
1293#121—611no—
1294#121—611no—
1295#121—611no—
1296#121—611no—
1297#121—611no—
1298#121—611no—
1299#121—1221no—
1300#121—1221no—
1301#121—1221no—
1302#121—1221no—
1303#121—1221no—
1304#121—1221no—
1305#121—1221no—
1306#121—1221no—
1307#121—1221no—
1308#121—1221no—
1309#121—1221no—
1310#121—1221no—
1311#121—1221no—
1312#121—1221no—
1313#121—1221no—
1314#121—1221no—
1315#121—1221no—
1316#121—1221no—
1317#121—1221no—
1318#121—1221no—
1319#121—1221no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121C22×D6111yescharacteristic
1327#121C22×D6111yescharacteristic
1328#121C22×D6111yescharacteristic
1329#120—1221no—
1330#120—1221no—
1331#120—1221no—
1332#120—1221no—
1333#120—1221no—
1334#120—1221no—
1335#120—1221no—
1336#120—1221no—
1337C4×Q8—611no—
1338C4×Q8—611no—
1339C4×Q8—611no—
1340C4×Q8—1221no—
1341C4×Q8—1221no—
1342C4×Q8—1221no—
1343C4×Q8C22×D6111yescharacteristic
1344C4×Q8C22×D6111yescharacteristic
1345C4×D4—21no—
1346C4×D4—21no—
1347C4×D4—611no—
1348C4×D4—611no—
1349C4×D4—611no—
1350C4×D4—611no—
1351C4×D4—611no—
1352C4×D4—611no—
1353C4×D4—1221no—
1354C4×D4—1221no—
1355C4×D4—1221no—
1356C4×D4—1221no—
1357C4×D4—1221no—
1358C4×D4—1221no—
1359C4×D4—1221no—
1360C4×D4—1221no—
1361C4×D4—1221no—
1362C4×D4—1221no—
1363C4×D4—1221no—
1364C4×D4—1221no—
1365C4×D4—1221no—
1366C4×D4C22×D6111yescharacteristic
1367#117—611no—
1368#117—611no—
1369#117—1221no—
1370C2×C4⋊C4—611no—
1371C2×C4⋊C4—611no—
1372C2×C4⋊C4—611no—
1373C2×C4⋊C4—1221no—
1374C2×C22⋊C4—1221no—
1375C2×C22⋊C4—1221no—
1376C2×C42—611no—
1377C2×C42—1221no—
1378#107—611no—
1379#107—611no—
1380#107—611no—
1381#107—611no—
1382#107—611no—
1383#107—611no—
1384#106—611no—
1385#106C22×D6111yescharacteristic
1386C4⋊C8—611no—
1387C4⋊C8—611no—
1388C4⋊C8—611no—
1389C4⋊C8C22×D6111yescharacteristic
1390#103—611no—
1391#103—611no—
1392#103—611no—
1393#103—611no—
1394#103—611no—
1395#103—611no—
1396#103—611no—
1397#103—611no—
1398#103—611no—
1399#103—611no—
1400#103—611no—
1401#103—611no—
1402#103—611no—
1403#103—611no—
1404#103—611no—
1405#103C22×D6111yescharacteristic
1406#103C22×D6111yescharacteristic
1407#103C22×D6111yescharacteristic
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102—611no—
1412#102—611no—
1413#102—611no—
1414#102—611no—
1415#102—611no—
1416#102—611no—
1417#102—611no—
1418#102—611no—
1419#102C22×D6111yescharacteristic
1420#102C22×D6111yescharacteristic
1421#102C22×D6111yescharacteristic
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8—611no—
1428C22⋊C8—611no—
1429C22⋊C8—611no—
1430C22⋊C8—611no—
1431C22⋊C8—611no—
1432C22⋊C8C22×D6111yescharacteristic
1433C22⋊C8C22×D6111yescharacteristic
1434#97—611no—
1435#97—611no—
1436#97—611no—
1437#97C22×D6111yescharacteristic
1438C24—1221no—
1439C24—1221no—
1440#41—22no—
1441#41—41no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—1222no—
1447#41—1222no—
1448#41—1222no—
1449#41—4882no—
1450#41—4882no—
1451#41—2441no—
1452#41—2441no—
1453#41—2441no—
1454#41—2441no—
1455#41—2441no—
1456#41—2444no—
1457#41—2444no—
1458#41—2444no—
1459#41—2441no—
1460#41—2441no—
1461#41—2441no—
1462#41—2444no—
1463#41—2441no—
1464#41—2441no—
1465#41—2441no—
1466#41—2444no—
1467#41—2444no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—611no—
1472C2×Q8—611no—
1473C2×Q8—611no—
1474C2×Q8—611no—
1475C2×Q8—1221no—
1476C2×Q8—1221no—
1477C2×Q8—1221no—
1478C2×Q8—1222no—
1479C2×Q8—1222no—
1480C2×Q8—1222no—
1481C2×Q8—1221no—
1482C2×Q8—1221no—
1483C2×Q8—1222no—
1484C2×Q8—1222no—
1485C2×Q8—2441no—
1486C2×Q8—2444no—
1487C2×Q8—2441no—
1488C2×Q8—2441no—
1489C2×Q8—2444no—
1490C2×Q8C23×D6111yescharacteristic
1491C2×Q8C23×D6111yescharacteristic
1492C2×Q8C23×D6111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—611no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—611no—
1507C2×D4—611no—
1508C2×D4—611no—
1509C2×D4—611no—
1510C2×D4—611no—
1511C2×D4—611no—
1512C2×D4—1221no—
1513C2×D4—1221no—
1514C2×D4—1221no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—4882no—
1532C2×D4—2441no—
1533C2×D4—2441no—
1534C2×D4—2441no—
1535C2×D4—2441no—
1536C2×D4D4×D6111yescharacteristic
1537C2×D4C23×D6111yescharacteristic
1538C2×D4C23×D6111yescharacteristic
1539C2×D4C23×D6111yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—611no—
1545C22×C4—611no—
1546C22×C4—611no—
1547C22×C4—611no—
1548C22×C4—611no—
1549C22×C4—1221no—
1550C22×C4—1221no—
1551C22×C4—1221no—
1552C22×C4—1221no—
1553C22×C4—1221no—
1554C22×C4—1221no—
1555C22×C4—1221no—
1556C22×C4—1221no—
1557C22×C4—1221no—
1558C22×C4—1221no—
1559C22×C4—1221no—
1560C22×C4—1221no—
1561C22×C4—1221no—
1562C22×C4—1221no—
1563C22×C4—1221no—
1564C22×C4C23×D6111yescharacteristic
1565C22×C4C23×D6111yescharacteristic
1566Q16—22no—
1567Q16—41no—
1568Q16—1222no—
1569Q16—2441no—
1570SD16—22no—
1571SD16—22no—
1572SD16—41no—
1573SD16—41no—
1574SD16—41no—
1575SD16—1222no—
1576SD16—1222no—
1577SD16—1222no—
1578SD16—1222no—
1579SD16—2441no—
1580SD16—2441no—
1581SD16—2441no—
1582SD16—2441no—
1583SD16—2441no—
1584D8—41no—
1585D8—41no—
1586D8—2441no—
1587D8—2441no—
1588D8—2441no—
1589D8—2441no—
1590M16—41no—
1591M16—2441no—
1592M16—2441no—
1593M16—2441no—
1594C2×C8—41no—
1595C2×C8—611no—
1596C2×C8—611no—
1597C2×C8—611no—
1598C2×C8—611no—
1599C2×C8—2441no—
1600C2×C8—2441no—
1601C2×C8—2441no—
1602C2×C8C23×D6111yescharacteristic
1603C2×C8C23×D6111yescharacteristic
1604C2×C8C23×D6111yescharacteristic
1605C2×C8C23×D6111yescharacteristic
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—611no—
1610C4⋊C4—611no—
1611C4⋊C4—611no—
1612C4⋊C4—611no—
1613C4⋊C4—611no—
1614C4⋊C4—611no—
1615C4⋊C4—611no—
1616C4⋊C4—1221no—
1617C4⋊C4—1221no—
1618C4⋊C4—1221no—
1619C4⋊C4—1221no—
1620C4⋊C4—1221no—
1621C4⋊C4—1221no—
1622C4⋊C4—1221no—
1623C4⋊C4—1221no—
1624C4⋊C4—1221no—
1625C4⋊C4—1221no—
1626C4⋊C4—1221no—
1627C4⋊C4—1221no—
1628C4⋊C4—1221no—
1629C4⋊C4—1221no—
1630C4⋊C4—1221no—
1631C4⋊C4—1221no—
1632C4⋊C4—1221no—
1633C4⋊C4D4×D6111yescharacteristic
1634C4⋊C4C23×D6111yescharacteristic
1635C4⋊C4C23×D6111yescharacteristic
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—611no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—611no—
1648C22⋊C4—1221no—
1649C22⋊C4—1221no—
1650C22⋊C4—1221no—
1651C22⋊C4—1221no—
1652C22⋊C4—1221no—
1653C22⋊C4—1221no—
1654C22⋊C4—1221no—
1655C22⋊C4—1221no—
1656C22⋊C4—1221no—
1657C22⋊C4—1221no—
1658C22⋊C4—1221no—
1659C22⋊C4—1221no—
1660C22⋊C4—1221no—
1661C22⋊C4—1221no—
1662C22⋊C4—1221no—
1663C22⋊C4—1221no—
1664C22⋊C4—1221no—
1665C22⋊C4—1221no—
1666C22⋊C4—1221no—
1667C22⋊C4—1221no—
1668C22⋊C4—1221no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4D4×D6111yescharacteristic
1674C22⋊C4D4×D6111yescharacteristic
1675C42—21no—
1676C42—21no—
1677C42—611no—
1678C42—611no—
1679C42—611no—
1680C42—1221no—
1681C42—1221no—
1682C42—1221no—
1683C42—1221no—
1684C42—1221no—
1685C42C23×D6111yescharacteristic
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—611no—
1690C23—611no—
1691C23—611no—
1692C23—1221no—
1693C23—1221no—
1694C23—4881no—
1695C23—4881no—
1696C23—4881no—
1697C23—4881no—
1698C23—4881no—
1699C23—4881no—
1700C23C2×D4×D6111yescharacteristic
1701C23C2×D4×D6111yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—21no—
1707Q8—42no—
1708Q8—612no—
1709Q8—1224no—
1710Q8—1221no—
1711Q8—1221no—
1712Q8—1221no—
1713Q8—2441no—
1714Q8—2441no—
1715Q8—2442no—
1716Q8—2442no—
1717Q8—2442no—
1718Q8—2442no—
1719Q8#1451982212yes—
1720D4—21no—
1721D4—21no—
1722D4—21no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—41no—
1727D4—42no—
1728D4—42no—
1729D4—81no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—1221no—
1736D4—1221no—
1737D4—1221no—
1738D4—1221no—
1739D4—4881no—
1740D4—4881no—
1741D4—4881no—
1742D4—4881no—
1743D4—4881no—
1744D4—4881no—
1745D4—4881no—
1746D4—4881no—
1747D4—4881no—
1748D4—4881no—
1749D4—4881no—
1750D4—4881no—
1751D4—4881no—
1752D4—2441no—
1753D4—2441no—
1754D4—2441no—
1755D4—2442no—
1756D4—2442no—
1757D4—2441no—
1758D4—2441no—
1759D4—2441no—
1760D4—2441no—
1761D4—2441no—
1762D4—2441no—
1763D4—2442no—
1764D4—2442no—
1765D4—2442no—
1766D4—2442no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—81no—
1779C2×C4—81no—
1780C2×C4—611no—
1781C2×C4—611no—
1782C2×C4—611no—
1783C2×C4—611no—
1784C2×C4—611no—
1785C2×C4—1224no—
1786C2×C4—1221no—
1787C2×C4—1221no—
1788C2×C4—1221no—
1789C2×C4—1221no—
1790C2×C4—1221no—
1791C2×C4—1221no—
1792C2×C4—1221no—
1793C2×C4—1221no—
1794C2×C4—1221no—
1795C2×C4—1221no—
1796C2×C4—1221no—
1797C2×C4—1221no—
1798C2×C4—4881no—
1799C2×C4—4881no—
1800C2×C4—4881no—
1801C2×C4—4881no—
1802C2×C4—4881no—
1803C2×C4—2441no—
1804C2×C4—2441no—
1805C2×C4—2442no—
1806C2×C4—2442no—
1807C2×C4—2442no—
1808C2×C4—2442no—
1809C2×C4—2442no—
1810C2×C4—2442no—
1811C2×C4—2442no—
1812C2×C4—2442no—
1813C2×C4—2442no—
1814C2×C4C2×D4×D6111yescharacteristic
1815C2×C4C2×D4×D6111yescharacteristic
1816C2×C4C2×D4×D6111yescharacteristic
1817C2×C4C2×D4×D6111yescharacteristic
1818C2×C4C24×D6111yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—1221no—
1824C8—1221no—
1825C8—1221no—
1826C8—1221no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—1221no—
1843C22—1221no—
1844C22—1221no—
1845C22—1221no—
1846C22—1221no—
1847C22—1221no—
1848C22—1221no—
1849C22—1221no—
1850C22—1221no—
1851C22—9762no—
1852C22—9762no—
1853C22—2441no—
1854C22—2441no—
1855C22—2441no—
1856C22—2441no—
1857C22—2441no—
1858C22—2441no—
1859C22C22×D4×D6111yescharacteristic
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—22no—
1865C4—41no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—1221no—
1870C4—1221no—
1871C4—1221no—
1872C4—1221no—
1873C4—1221no—
1874C4—1222no—
1875C4—2441no—
1876C4—2441no—
1877C4—2441no—
1878C4—2441no—
1879C4—2441no—
1880C4H(5,𝔽2)×D6111yescharacteristic
1881C4C2×#1451982211yescharacteristic
1882C2—41no—
1883C2—41no—
1884C2—81no—
1885C2—81no—
1886C2—81no—
1887C2—4881no—
1888C2—4881no—
1889C2—2441no—
1890C2—2441no—
1891C2—2441no—
1892C2#2145944711yescharacteristic
1893C2#2146059611yescharacteristic
1894C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3271C2
socleC22×C61C23×D4
hypercenter#3271D61
hypocenterC61#61671
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #21460179C2semidirect
2. #21459587C2semidirect
3. #21457996C2semidirect
4. #21457994C2semidirect
5. #21457892C2semidirect
6. #21457890C2semidirect
7. #21457820C2semidirect
8. #21457818C2semidirect
9. #21457812C2semidirect
10. #21457810C2semidirect
11. #21457400C2semidirect
12. #21457363C2semidirect
13. #21457359C2semidirect
14. #21457327C2semidirect
15. #21457323C2semidirect
16. #21457313C2semidirect
17. #21457309C2semidirect
18. #21456861C2semidirect
19. #21456809C2semidirect
20. #21456720C2semidirect
21. #21456718C2semidirect
22. #21456674C2semidirect
23. #21456666C2semidirect
24. #21455994C2semidirect
25. #21455940C2semidirect
26. #21455133C2semidirect
27. #21455130C2semidirect
28. #21455102C2semidirect
29. #21455100C2semidirect
30. #21454887C2semidirect
31. C61×#3271C2semidirect
32. C2×#14519825C22semidirect
33. C2×#14519824C22semidirect
34. C2×#14519807C22semidirect
37. C2×#14519797C22semidirect
46. #16840431C22semidirect
48. #16840430C22semidirect
49. Q8×C22⋊D61C22semidirect
51. #16840425C22semidirect
54. #16840421C22semidirect
66. #16840342C22semidirect
68. #16840341C22semidirect
75. #16840311C22semidirect
80. C4×Q8×D61C22semidirect
84. #16840129C22semidirect
85. #16840125C22semidirect
86. #16840122C22semidirect
87. #16840121C22semidirect
88. #16840106C22semidirect
89. #16840102C22semidirect
90. #16840098C22semidirect
91. #16840096C22semidirect
92. #16840095C22semidirect
93. #16840088C22semidirect
94. #16840084C22semidirect
96. #16840076C22semidirect
97. #16840074C22semidirect
98. #16840074C22semidirect
99. #16840073C22semidirect
100. #16840072C22semidirect
101. #16840071C22semidirect
102. #16840058C22semidirect
103. #16840057C22semidirect
104. #16840013C22semidirect
105. #16840011C22semidirect
110. #16840005C22semidirect
111. #16840002C22semidirect
112. #16840000C22semidirect
117. #16839989C22semidirect
120. #16839984C22semidirect
123. #16839965C22semidirect
124. #16839965C22semidirect
126. #16839955C22semidirect
127. #16839955C22semidirect
128. #16839924C22semidirect
129. #16839923C22semidirect
130. #16839923C22semidirect
131. #16839921C22semidirect
132. #16839921C22semidirect
133. #16839916C22semidirect
134. #16839916C22semidirect
135. #16839916C22semidirect
142. #16839907C22semidirect
144. #16839906C22semidirect
145. #16839906C22semidirect
146. #16839905C22semidirect
148. #16839904C22semidirect
149. #16839904C22semidirect
153. #16839900C22semidirect
156. #16839899C22semidirect
157. #16839899C22semidirect
160. #16839867C22semidirect
162. #16839863C22semidirect
163. #16839863C22semidirect
165. #16839859C22semidirect
166. #16839859C22semidirect
167. #16839836C22semidirect
169. #16839834C22semidirect
170. #16839833C22semidirect
172. #16839831C22semidirect
173. #16839830C22semidirect
174. #16839818C22semidirect
175. #16839817C22semidirect
176. #16839769C22semidirect
177. #16839769C22semidirect
178. #16839764C22semidirect
179. #16839763C22semidirect
180. #16839757C22semidirect
181. #16839755C22semidirect
182. C2×#14519702C22semidirect
183. C2×#14519701C22semidirect
184. #16839730C22semidirect
185. #16839728C22semidirect
186. #16839727C22semidirect
187. #16839727C22semidirect
188. C2×#137×C61C22semidirect
189. C2×#135×C61C22semidirect
191. C61×#548C22semidirect
193. C61×#469C22semidirect
194. C61×#465C22semidirect
195. C61×#464C22semidirect
197. C61×#452C22semidirect
198. C61×#449C22semidirect
199. C61×#449C22semidirect
200. C61×#448C22semidirect
201. C61×#441C22semidirect
202. C61×#435C22semidirect
946. #3271D61semidirect
982. C2×#137C2×D61semidirect
986. C2×#135C2×D61semidirect
1007. #548C2×D61semidirect
1057. #469C2×D61semidirect
1071. #465C2×D61semidirect
1075. #464C2×D61semidirect
1089. #452C2×D61semidirect
1107. #449C2×D61semidirect
1108. #449C2×D61semidirect
1117. #448C2×D61semidirect
1121. #441C2×D61semidirect
1135. #435C2×D61semidirect
1150. C61#61671semidirect

Maximal subgroups

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

subgroupindex
#214601792
#214595872
#214579962
#214579942
#214578922
#214578902
#214578202
#214578182
#214578122
#214578102
#214574002
#214573632
#214573592
#214573272
#214573232
#214573132
#214573092
#214568612
#214568092
#214567202
#214567182
#214566742
#214566662
#214559942
#214559402
#214551332
#214551302
#214551022
#214551002
#214548872
C61×#32712
#6167161