Finite Group Databasebeta

← #30565825

Subgroups — #30565825

Order 15616.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460067C211yesmaximal, characteristic, complemented
2#21459486C211yesmaximal, characteristic
3#21458042C211yesmaximal, characteristic, complemented
4#21458034C211yesmaximal, characteristic, complemented
5#21457952C211yesmaximal, characteristic, complemented
6#21457944C211yesmaximal, characteristic, complemented
7#21457847C211yesmaximal, characteristic, complemented
8#21457839C211yesmaximal, characteristic, complemented
9#21457713C211yesmaximal, characteristic, complemented
10#21457705C211yesmaximal, characteristic, complemented
11#21457514C211yesmaximal, characteristic, complemented
12#21457510C211yesmaximal, characteristic, complemented
13#21457488C211yesmaximal, characteristic, complemented
14#21457484C211yesmaximal, characteristic, complemented
15#21457388C211yesmaximal, characteristic, complemented
16#21457384C211yesmaximal, characteristic, complemented
17#21457328C211yesmaximal, characteristic, complemented
18#21457324C211yesmaximal, characteristic, complemented
19#21456891C211yesmaximal, characteristic, complemented
20#21456700C211yesmaximal, characteristic, complemented
21#21456698C211yesmaximal, characteristic, complemented
22#21456622C211yesmaximal, characteristic, complemented
23#21456573C211yesmaximal, characteristic, complemented
24#21456035C211yesmaximal, characteristic, complemented
25#21456027C211yesmaximal, characteristic, complemented
26#21455091C211yesmaximal, characteristic, complemented
27#21455091C211yesmaximal, characteristic, complemented
28#21455076C211yesmaximal, characteristic, complemented
29#452×D61C211yesmaximal, characteristic, complemented
30#21454865C211yesmaximal, characteristic, complemented
31C61×#3222C211yesmaximal, characteristic, complemented
32C2×#14519822C2211yescharacteristic
33C2×#41×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519806C2211yescharacteristic, complemented
37C2×#14519806C2211yescharacteristic, complemented
38C2×Q16×D61C2211yescharacteristic, complemented
39C2×SD16×D61C2211yescharacteristic, complemented
40C2×SD16×D61C2211yescharacteristic, complemented
41C2×SD16×D61C2211yescharacteristic, complemented
42#16840514—21no—
43#16840514—21no—
44#16840453C2211yescharacteristic, complemented
45#16840453C2211yescharacteristic, complemented
46#16840450C2211yescharacteristic, complemented
47#16840450C2211yescharacteristic, complemented
48#16840437—21no—
49#16840437—21no—
50#16840432C2211yescharacteristic
51#16840432C2211yescharacteristic
52Q8×D244C2211yescharacteristic, complemented
53Q8×D244C2211yescharacteristic, complemented
54#16840427C2211yescharacteristic, complemented
55#16840427C2211yescharacteristic, complemented
56#16840420C2211yescharacteristic
57#16840420C2211yescharacteristic
58#16840405C2211yescharacteristic
59#16840405C2211yescharacteristic
60#16840399—21no—
61#16840399—21no—
62#16840397C2211yescharacteristic
63#16840397C2211yescharacteristic
64#16840394—21no—
65#16840394—21no—
66#16840392—21no—
67#16840392—21no—
68#16840374C2211yescharacteristic, complemented
69#16840360—21no—
70#16840360—21no—
71#16840341—21no—
72#16840340C2211yescharacteristic
73#16840335C2211yescharacteristic, complemented
74#16840335C2211yescharacteristic, complemented
75#16840328—21no—
76#16840274C2211yescharacteristic
77#16840272—21no—
78C22⋊Q8×D61C2211yescharacteristic, complemented
79C22⋊Q8×D61C2211yescharacteristic, complemented
80C2×#14519748C2211yescharacteristic
81#121×D61—21no—
82#16840242C2211yescharacteristic
83#16840157C2211yescharacteristic, complemented
84#16840134C2211yescharacteristic, complemented
85#16840126C2211yescharacteristic, complemented
86#16840116C2211yescharacteristic, complemented
87#16840102C2211yescharacteristic, complemented
88#16840101C2211yescharacteristic, complemented
89#16840098C2211yescharacteristic, complemented
90#16840095C2211yescharacteristic, complemented
91#16840093C2211yescharacteristic, complemented
92#16840090C2211yescharacteristic, complemented
93#16840085C2211yescharacteristic, complemented
94#16840084C2211yescharacteristic, complemented
95#16840079C2211yescharacteristic, complemented
96#16840079C2211yescharacteristic, complemented
97#16840074C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840070C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840063C2211yescharacteristic, complemented
102#16840059C2211yescharacteristic, complemented
103#16840019C2211yescharacteristic, complemented
104#16840017C2211yescharacteristic, complemented
105#16840007C2211yescharacteristic, complemented
106#16840007C2211yescharacteristic, complemented
107#16840007C2211yescharacteristic, complemented
108#16840005C2211yescharacteristic, complemented
109#16840005C2211yescharacteristic, complemented
110#16840005C2211yescharacteristic, complemented
111#16840002C2211yescharacteristic, complemented
112#16840000C2211yescharacteristic, complemented
113#16839990C2211yescharacteristic, complemented
114#16839990C2211yescharacteristic, complemented
115#16839990C2211yescharacteristic, complemented
116#16839988C2211yescharacteristic, complemented
117#16839988C2211yescharacteristic, complemented
118#16839988C2211yescharacteristic, complemented
119#16839981C2211yescharacteristic, complemented
120#16839981C2211yescharacteristic, complemented
121#16839973C2211yescharacteristic, complemented
122#16839969C2211yescharacteristic, complemented
123#16839968C2211yescharacteristic, complemented
124#16839964C2211yescharacteristic, complemented
125#16839959C2211yescharacteristic, complemented
126#16839959C2211yescharacteristic, complemented
127#16839927C2211yescharacteristic, complemented
128#16839926C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839925C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic, complemented
132#16839925C2211yescharacteristic, complemented
133#16839924C2211yescharacteristic, complemented
134#16839924C2211yescharacteristic, complemented
135#16839923C2211yescharacteristic, complemented
136#16839922C2211yescharacteristic
137#16839922C2211yescharacteristic
138#16839921C2211yescharacteristic, complemented
139#16839921C2211yescharacteristic, complemented
140#16839921C2211yescharacteristic, complemented
141#16839919C2211yescharacteristic, complemented
142#16839916C2211yescharacteristic, complemented
143#16839916C2211yescharacteristic, complemented
144#16839916C2211yescharacteristic, complemented
145#16839914C2211yescharacteristic, complemented
146#16839914C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic, complemented
148#16839913C2211yescharacteristic, complemented
149#16839913C2211yescharacteristic, complemented
150#16839911C2211yescharacteristic, complemented
151#16839911C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839899C2211yescharacteristic, complemented
154#16839899C2211yescharacteristic, complemented
155#16839899C2211yescharacteristic, complemented
156#16839899C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839899C2211yescharacteristic, complemented
159#16839870C2211yescharacteristic, complemented
160#16839867C2211yescharacteristic, complemented
161#16839864C2211yescharacteristic, complemented
162#16839860C2211yescharacteristic, complemented
163C4×Dic244C2211yescharacteristic, complemented
164C4×#11758202C2211yescharacteristic, complemented
165C4×#11758190C2211yescharacteristic, complemented
166C4×#11758201C2211yescharacteristic, complemented
167#16839841C2211yescharacteristic, complemented
168#16839839C2211yescharacteristic, complemented
169#16839835C2211yescharacteristic, complemented
170#16839835C2211yescharacteristic, complemented
171#16839832C2211yescharacteristic, complemented
172#16839832C2211yescharacteristic, complemented
173C8×D244C2211yescharacteristic, complemented
174#16839827C2211yescharacteristic, complemented
175#16839823C2211yescharacteristic, complemented
176#16839765C2211yescharacteristic, complemented
177#16839765C2211yescharacteristic, complemented
178#16839762C2211yescharacteristic, complemented
179#16839760C2211yescharacteristic, complemented
180#16839755C2211yescharacteristic, complemented
181#16839755C2211yescharacteristic, complemented
182#103×D61C2211yescharacteristic, complemented
183#102×D61C2211yescharacteristic, complemented
184#16839727C2211yescharacteristic, complemented
185#16839727C2211yescharacteristic, complemented
186#16839724C2211yescharacteristic, complemented
187C22⋊C8×D61C2211yescharacteristic, complemented
188C61×#541C2211yescharacteristic, complemented
189C61×#535C2211yescharacteristic
190C61×#497C2211yescharacteristic, complemented
191C61×#492C2211yescharacteristic, complemented
192C61×#490C2211yescharacteristic, complemented
193C61×#488C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#464C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#460C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#450C2211yescharacteristic, complemented
201C61×#450C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203#14519822—42no—
204#14519822—42no—
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758222C2311yescharacteristic
209C2×#11758224—21no—
210C2×#11758224—21no—
211C2×#11758224C2311yescharacteristic
212C2×#11758224C2311yescharacteristic
213C2×#11758224C2311yescharacteristic
214#41×D61—42no—
215#41×D61—42no—
216C2×Q8×D61C2311yescharacteristic
217C2×Q8×D61C2311yescharacteristic
218C2×Q8×D61C2311yescharacteristic
219C2×Q8×D61C2311yescharacteristic
220C2×Q8×D61C2311yescharacteristic
221C22×C22⋊D61—21no—
222C22×C22⋊D61—21no—
223C22×C22⋊D61—21no—
224C2×D4×D61—21no—
225C2×D4×D61—21no—
226C2×D4×D61—21no—
227C2×D4×D61—21no—
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C2×D4×D61C2311yescharacteristic
231C22×C4×D61—21no—
232C22×C4×D61C2311yescharacteristic
233#14519809—42no—
234#14519806—42no—
235#14519806—42no—
236#14519806—42no—
237C2×Dic244C2311yescharacteristic
238C2×Dic244C2311yescharacteristic
239C2×#11758202C2311yescharacteristic
240C2×#11758202C2311yescharacteristic
241C2×#11758202C2311yescharacteristic
242C2×#11758202C2311yescharacteristic
243Q16×D61—42no—
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic
246C2×#11758200C2311yescharacteristic
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758200C2311yescharacteristic
250C2×#11758200C2311yescharacteristic
251C2×#11758200C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic
254SD16×D61—42no—
255SD16×D61—42no—
256SD16×D61—42no—
257C2×#11758189C2311yescharacteristic
258C2×#11758189C2311yescharacteristic
259C2×#11758189C2311yescharacteristic
260C2×#11758189C2311yescharacteristic
261C2×C8×D61C2311yescharacteristic
262C2×C8×D61C2311yescharacteristic
263C2×C8×D61C2311yescharacteristic
264C2×C8×D61C2311yescharacteristic
265#14519777—21no—
266#14519777—21no—
267#14519777C2311yescharacteristic
268#14519776—21no—
269#14519776—21no—
270#14519776—21no—
271#14519776—21no—
272#14519773—21no—
273#14519773—21no—
274#14519772—21no—
275#14519772—21no—
276#14519771—21no—
277#14519771—21no—
278#14519770—21no—
279#14519770—21no—
280#14519769C2311yescharacteristic
281#14519768—21no—
282#14519768—21no—
283#14519767—21no—
284#14519767—21no—
285#14519767—21no—
286#14519767—21no—
287#14519763—21no—
288#14519763—21no—
289#14519763—21no—
290#14519763—21no—
291#14519762—21no—
292#14519762—21no—
293#14519762—21no—
294#14519762—21no—
295#14519762—21no—
296#14519762—21no—
297#14519761D411yescharacteristic
298#14519761D411yescharacteristic
299#14519759—21no—
300#14519759—21no—
301#14519759—21no—
302#14519759—21no—
303#14519757—21no—
304#14519757—21no—
305#14519757—21no—
306#14519757—21no—
307#14519757D411yescharacteristic
308#14519757D411yescharacteristic
309#14519757C2311yescharacteristic
310#14519757C2311yescharacteristic
311#14519757C2311yescharacteristic
312#14519757C2311yescharacteristic
313#14519756—21no—
314#14519756C2311yescharacteristic
315#14519756C2311yescharacteristic
316#14519755—21no—
317#14519755—21no—
318#14519755—21no—
319#14519755—21no—
320#14519755—21no—
321#14519755—21no—
322#14519754—21no—
323#14519754—21no—
324#14519754—21no—
325#14519754—21no—
326#14519753C2311yescharacteristic
327#14519753C2311yescharacteristic
328#14519753C2311yescharacteristic
329#14519753C2311yescharacteristic
330#14519753C2311yescharacteristic
331#14519753C2311yescharacteristic
332#14519752D411yescharacteristic
333#14519752D411yescharacteristic
334#14519751—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519749—21no—
340#14519749—21no—
341#14519749—21no—
342#14519749—21no—
343#14519749—21no—
344#14519749—21no—
345#14519748—21no—
346#14519748—21no—
347#14519748—21no—
348#14519748—21no—
349#14519748C2311yescharacteristic
350#14519748C2311yescharacteristic
351#14519748C2311yescharacteristic
352#14519748C2311yescharacteristic
353#14519748C2311yescharacteristic
354#14519748C2311yescharacteristic
355#14519747—21no—
356#14519747—21no—
357#14519747D411yescharacteristic
358#14519747D411yescharacteristic
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363C4×Dic122C2311yescharacteristic
364C4×Dic122C2311yescharacteristic
365C4×Dic122C2311yescharacteristic
366C4×Dic122C2311yescharacteristic
367C4×D244—21no—
368C4×D244—21no—
369C4×D244C2311yescharacteristic
370C4×D244C2311yescharacteristic
371C4×D244C2311yescharacteristic
372C4×D244C2311yescharacteristic
373C4×D244C2311yescharacteristic
374C4×D244C2311yescharacteristic
375D4×Dic61—21no—
376D4×Dic61—21no—
377#14519739—21no—
378#14519739—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519737—21no—
383#14519735—21no—
384#14519735—21no—
385#14519735—21no—
386#14519735C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519734—21no—
389#14519734—21no—
390C2×C4⋊Dic61C2311yescharacteristic
391C4⋊C4×D61—21no—
392C4⋊C4×D61—21no—
393C4⋊C4×D61—21no—
394C4⋊C4×D61C2311yescharacteristic
395C4⋊C4×D61C2311yescharacteristic
396C2×C22⋊Dic61—21no—
397C22⋊C4×D61—21no—
398C22⋊C4×D61—21no—
399C22⋊C4×D61—21no—
400C22⋊C4×D61—21no—
401#14519711C2311yescharacteristic
402#14519711C2311yescharacteristic
403#14519710C2311yescharacteristic
404#14519710C2311yescharacteristic
405#14519709C2311yescharacteristic
406#14519709C2311yescharacteristic
407#14519708C2311yescharacteristic
408#14519708C2311yescharacteristic
409C4⋊#92418C2311yescharacteristic
410C4⋊#92418C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519702C2311yescharacteristic
414#14519702C2311yescharacteristic
415#14519702C2311yescharacteristic
416#14519702C2311yescharacteristic
417#14519701C2311yescharacteristic
418#14519701C2311yescharacteristic
419#14519701C2311yescharacteristic
420#14519701C2311yescharacteristic
421#14519701C2311yescharacteristic
422#14519701C2311yescharacteristic
423#14519700C2311yescharacteristic
424#14519700C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519698C2311yescharacteristic
428#14519698C2311yescharacteristic
429#14519698C2311yescharacteristic
430#14519698C2311yescharacteristic
431#14519698C2311yescharacteristic
432#14519698C2311yescharacteristic
433#14519697C2311yescharacteristic
434#14519697C2311yescharacteristic
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519689C2311yescharacteristic
442#14519689C2311yescharacteristic
443#14519689C2311yescharacteristic
444#14519689C2311yescharacteristic
445#14519688C2311yescharacteristic
446C4×#92418C2311yescharacteristic
447C2×#41×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic
450C2×Q16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic
453C2×SD16×C61C2311yescharacteristic
454C2×SD16×C61C2311yescharacteristic
455C2×SD16×C61C2311yescharacteristic
456C2×SD16×C61C2311yescharacteristic
457C4⋊Q8×C61C2311yescharacteristic
458#127×C61C2311yescharacteristic
459#127×C61C2311yescharacteristic
460#126×C61—21no—
461#126×C61—21no—
462#125×C61—21no—
463#125×C61—21no—
464#125×C61C2311yescharacteristic
465#124×C61C2311yescharacteristic
466#124×C61C2311yescharacteristic
467C22⋊Q8×C61C2311yescharacteristic
468C22⋊Q8×C61C2311yescharacteristic
469#121×C61—21no—
470#121×C61—21no—
471#120×C61—21no—
472#120×C61—21no—
473C4×Q8×C61C2311yescharacteristic
474C4×Q8×C61C2311yescharacteristic
475#117×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic
477C4⋊C8×C61C2311yescharacteristic
478#103×C61C2311yescharacteristic
479#103×C61C2311yescharacteristic
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic
485#102×C61C2311yescharacteristic
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic
489C4×C8×C61C2311yescharacteristic
490C24×C61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61C2×D411yescharacteristic
495#41×C61—41no—
496#41×C61—41no—
497C2×Q8×C61C2411yescharacteristic
498C2×Q8×C61C2411yescharacteristic
499C2×Q8×C61C2411yescharacteristic
500C2×D4×C61—21no—
501C2×D4×C61—21no—
502C2×D4×C61—21no—
503C2×D4×C61—21no—
504C2×D4×C61—21no—
505C2×D4×C61—21no—
506C2×D4×C61—41no—
507C2×D4×C61—41no—
508C2×D4×C61C2411yescharacteristic
509C2×D4×C61C2411yescharacteristic
510C2×D4×C61C2411yescharacteristic
511C22×C4×C61—21no—
512C22×C4×C61C2411yescharacteristic
513C2×C22⋊D61—21no—
514C2×C22⋊D61—21no—
515C2×C22⋊D61—21no—
516C2×C22⋊D61—21no—
517C2×C22⋊D61—21no—
518C2×C22⋊D61—21no—
519C2×C22⋊D61—21no—
520C2×C22⋊D61—21no—
521C2×C22⋊D61—21no—
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—44no—
527C2×C22⋊D61—44no—
528C2×C22⋊D61—82no—
529C2×C22⋊D61C2×D411yescharacteristic
530C2×C22⋊D61C2×D411yescharacteristic
531C22×Dic61—21no—
532C22×Dic61—21no—
533C22×Dic61—21no—
534C22×Dic61—21no—
535C22×Dic61C2×D411yescharacteristic
536#11758226—22no—
537#11758226—41no—
538Q8×D61—22no—
539Q8×D61—41no—
540Q8×D61—41no—
541Q8×D61—41no—
542Q8×D61—41no—
543Q8×D61—41no—
544Q8×D61—41no—
545Q8×D61—41no—
546Q8×D61—41no—
547Q8×D61—41no—
548#11758224—22no—
549#11758224—22no—
550#11758224—22no—
551#11758224—41no—
552#11758224—41no—
553#11758224—41no—
554#11758224—44no—
555#11758224—44no—
556D4×D61—22no—
557D4×D61—22no—
558D4×D61—22no—
559D4×D61—41no—
560D4×D61—41no—
561D4×D61—41no—
562D4×D61—44no—
563D4×D61—44no—
564D4×D61—82no—
565D4×D61—82no—
566#11758222—22no—
567#11758222—22no—
568#11758222—41no—
569#11758222—41no—
570#11758222—44no—
571C2×D244—21no—
572C2×D244C2×D411yescharacteristic
573C2×D244C2×D411yescharacteristic
574C2×D244C2×D411yescharacteristic
575C2×D244C2×D411yescharacteristic
576C2×D244C2×D411yescharacteristic
577C2×D244C2411yescharacteristic
578C2×C4×D61—21no—
579C2×C4×D61—21no—
580C2×C4×D61—21no—
581C2×C4×D61—21no—
582C2×C4×D61—21no—
583C2×C4×D61—21no—
584C2×C4×D61—21no—
585C2×C4×D61—21no—
586C2×C4×D61—21no—
587C2×C4×D61—21no—
588C2×C4×D61—21no—
589C2×C4×D61—41no—
590C2×C4×D61—41no—
591C2×C4×D61—44no—
592C2×C4×D61C2×D411yescharacteristic
593C2×C4×D61C2×D411yescharacteristic
594C2×C4×D61C2411yescharacteristic
595C2×C4×D61C2411yescharacteristic
596C2×C4×D61C2411yescharacteristic
597C2×C4×D61C2411yescharacteristic
598C2×Dic122—21no—
599C2×Dic122—21no—
600C2×Dic122—21no—
601C2×Dic122—21no—
602C2×Dic122—21no—
603C2×Dic122C2×D411yescharacteristic
604C2×Dic122C2411yescharacteristic
605C2×Dic122C2411yescharacteristic
606C2×Dic122C2411yescharacteristic
607Q16×C61—41no—
608Q16×C61—41no—
609SD16×C61—41no—
610SD16×C61—41no—
611SD16×C61—41no—
612SD16×C61—41no—
613SD16×C61—41no—
614SD16×C61—41no—
615C2×C8×C61C2411yescharacteristic
616C2×C8×C61C2411yescharacteristic
617C2×C8×C61C2411yescharacteristic
618C2×C8×C61C2411yescharacteristic
619C4⋊C4×C61—21no—
620C4⋊C4×C61—21no—
621C4⋊C4×C61—21no—
622C4⋊C4×C61—21no—
623C4⋊C4×C61—21no—
624C4⋊C4×C61—21no—
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61C2×D411yescharacteristic
628C4⋊C4×C61C2×D411yescharacteristic
629C4⋊C4×C61C2411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C22⋊C4×C61—21no—
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61C2×D411yescharacteristic
638C22⋊C4×C61C2×D411yescharacteristic
639C42×C61—21no—
640C42×C61—21no—
641C42×C61C2411yescharacteristic
642C42×C61C2411yescharacteristic
643C22⋊Dic61—21no—
644C22⋊Dic61—21no—
645C22⋊Dic61—21no—
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651#11758202—22no—
652#11758202—22no—
653#11758202—41no—
654#11758202—41no—
655#11758201—22no—
656#11758201—22no—
657#11758200—41no—
658#11758200—41no—
659#11758200—41no—
660#11758200—41no—
661#11758200—41no—
662#11758200—41no—
663#11758198—21no—
664#11758198—21no—
665#11758198—21no—
666#11758198—21no—
667#11758198—21no—
668#11758198—21no—
669#11758198—21no—
670#11758198—21no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198C2×D411yescharacteristic
678#11758198C2×D411yescharacteristic
679#11758198C2×D411yescharacteristic
680#11758198C2×D411yescharacteristic
681#11758198C2×D411yescharacteristic
682#11758198C2×D411yescharacteristic
683#11758198C2×D411yescharacteristic
684#11758198C2×D411yescharacteristic
685C4⋊Dic61—21no—
686C4⋊Dic61—21no—
687C4⋊Dic61—21no—
688C4⋊Dic61—21no—
689C4⋊Dic61—21no—
690C4⋊Dic61—21no—
691C4⋊Dic61—21no—
692C4⋊Dic61C2×D411yescharacteristic
693C4⋊Dic61C2×D411yescharacteristic
694C4⋊Dic61C2×D411yescharacteristic
695C4⋊Dic61C2×D411yescharacteristic
696C4⋊Dic61C2411yescharacteristic
697C4⋊Dic61C2411yescharacteristic
698C4⋊Dic61C2411yescharacteristic
699C4⋊Dic61C2411yescharacteristic
700#11758196—21no—
701#11758196—21no—
702#11758196—21no—
703#11758196—21no—
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#11758196—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61—21no—
720C4×Dic61—21no—
721C4×Dic61—21no—
722C2×#92418C2411yescharacteristic
723C2×#92418C2411yescharacteristic
724C2×#92418C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726Dic244—22no—
727Dic244—22no—
728#11758190—22no—
729#11758190—22no—
730#11758189—41no—
731#11758189—41no—
732#11758189—41no—
733#11758189—41no—
734C8×D61—41no—
735C8×D61—41no—
736C8×D61—41no—
737C8×D61—41no—
738C23×C61—21no—
739C23×C61—21no—
740C23×C61—21no—
741C23×C61—42no—
742C23×C61—81no—
743C23×C61—81no—
744C23×C61C22×D411yescharacteristic
745C22×D61—21no—
746C22×D61—22no—
747C22×D61—41no—
748C22×D61—41no—
749C22×D61—42no—
750C22×D61—42no—
751C22×D61—42no—
752C22×D61—42no—
753C22×D61—81no—
754C22×D61—81no—
755C22×D61—81no—
756C22×D61—81no—
757C22×D61—81no—
758C22×D61C22×D411yescharacteristic
759C22×D61C22×D411yescharacteristic
760C22×D61C22×D411yescharacteristic
761C22×D61C22×D411yescharacteristic
762Q8×C61—21no—
763Q8×C61—21no—
764Q8×C61—21no—
765Q8×C61—21no—
766Q8×C61—21no—
767Q8×C61—21no—
768D4×C61—21no—
769D4×C61—21no—
770D4×C61—21no—
771D4×C61—21no—
772D4×C61—21no—
773D4×C61—21no—
774D4×C61—42no—
775D4×C61—42no—
776D4×C61—81no—
777D4×C61—81no—
778D4×C61—81no—
779D4×C61—81no—
780C2×C4×C61—21no—
781C2×C4×C61—21no—
782C2×C4×C61—21no—
783C2×C4×C61—21no—
784C2×C4×C61—21no—
785C2×C4×C61—21no—
786C2×C4×C61—21no—
787C2×C4×C61—42no—
788C2×C4×C61C22×D411yescharacteristic
789C2×C4×C61C22×D411yescharacteristic
790C2×C4×C61C22×D411yescharacteristic
791C2×C4×C61C22×D411yescharacteristic
792C2×C4×C61C22×D411yescharacteristic
793C2×C4×C61C2511yescharacteristic
794C22⋊D61—24no—
795C22⋊D61—41no—
796C22⋊D61—41no—
797C22⋊D61—42no—
798C22⋊D61—42no—
799C22⋊D61—42no—
800C22⋊D61—42no—
801C22⋊D61—42no—
802C22⋊D61—42no—
803C22⋊D61—42no—
804C22⋊D61—42no—
805C22⋊D61—81no—
806C22⋊D61—81no—
807C22⋊D61—81no—
808C22⋊D61—81no—
809C2×Dic61—21no—
810C2×Dic61—21no—
811C2×Dic61—21no—
812C2×Dic61—21no—
813C2×Dic61—21no—
814C2×Dic61—21no—
815C2×Dic61—21no—
816C2×Dic61—41no—
817C2×Dic61—42no—
818C2×Dic61—42no—
819C2×Dic61—42no—
820C2×Dic61—81no—
821C2×Dic61C22×D411yescharacteristic
822C2×Dic61C22×D411yescharacteristic
823C2×Dic61C22×D411yescharacteristic
824C2×Dic61C22×D411yescharacteristic
825D244—22no—
826D244—22no—
827D244—21no—
828D244—41no—
829D244—41no—
830D244—41no—
831D244—42no—
832D244H(5,𝔽2)12yes—
833C4×D61—24no—
834C4×D61—21no—
835C4×D61—21no—
836C4×D61—21no—
837C4×D61—21no—
838C4×D61—21no—
839C4×D61—21no—
840C4×D61—21no—
841C4×D61—21no—
842C4×D61—41no—
843C4×D61—41no—
844C4×D61—42no—
845C4×D61—42no—
846C4×D61—42no—
847C4×D61—42no—
848C4×D61—81no—
849C4×D61—81no—
850C4×D61—81no—
851C4×D61—81no—
852C4×D61—81no—
853C4×D61—81no—
854Dic122—21no—
855Dic122—21no—
856Dic122—21no—
857Dic122—21no—
858Dic122—21no—
859Dic122—41no—
860Dic122—42no—
861Dic122—81no—
862Dic122—81no—
863Dic122—81no—
864Dic122—81no—
865Dic122H(5,𝔽2)12yes—
866C8×C61—21no—
867C8×C61—21no—
868C8×C61—21no—
869C8×C61—21no—
870#92418—21no—
871#92418—21no—
872#92418—21no—
873#92418—21no—
874#61618—611nomaximal, Sylow
875C22×C61—21no—
876C22×C61—21no—
877C22×C61—21no—
878C22×C61—41no—
879C22×C61—41no—
880C22×C61—41no—
881C22×C61—41no—
882C22×C61—41no—
883C22×C61—41no—
884C22×C61—41no—
885C22×C61—41no—
886C22×C61—41no—
887C22×C61—162no—
888C22×C61C23×D411yescharacteristic
889C2×D61—21no—
890C2×D61—21no—
891C2×D61—21no—
892C2×D61—21no—
893C2×D61—21no—
894C2×D61—21no—
895C2×D61—22no—
896C2×D61—21no—
897C2×D61—21no—
898C2×D61—21no—
899C2×D61—21no—
900C2×D61—21no—
901C2×D61—41no—
902C2×D61—41no—
903C2×D61—82no—
904C2×D61—84no—
905C2×D61—162no—
906C2×D61—162no—
907C2×D61#57712yes—
908C4×C61—21no—
909C4×C61—21no—
910C4×C61—21no—
911C4×C61—21no—
912C4×C61—21no—
913C4×C61—41no—
914C4×C61—41no—
915C4×C61—41no—
916C4×C61—41no—
917C4×C61—41no—
918C4×C61C2×H(5,𝔽2)11yescharacteristic
919C4×C61C2×H(5,𝔽2)11yescharacteristic
920Dic61—22no—
921Dic61—21no—
922Dic61—21no—
923Dic61—21no—
924Dic61—21no—
925Dic61—41no—
926Dic61—41no—
927Dic61—41no—
928Dic61—41no—
929Dic61—41no—
930Dic61—41no—
931#3538—611no—
932#3488—611no—
933#3323—611no—
934#3323—611no—
935#3317—611no—
936#3317—611no—
937#3310—611no—
938#3310—611no—
939#3300—611no—
940#3300—611no—
941D4×SD16—611no—
942D4×SD16—611no—
943#3278—611no—
944#3278—611no—
945#3270—611no—
946#3270—611no—
947#3266—611no—
948#3266—611no—
949#3222—611no—
950#3222D6111yescharacteristic, complemented
951#3201—611no—
952#3201—611no—
953#3193—611no—
954#3187—611no—
955#3120—611no—
956#3120—611no—
957#3009—611no—
958#3009—611no—
959#3007—611no—
960C2×#452—611no—
961#2976—611no—
962C2×C61—41no—
963C2×C61—81no—
964C2×C61—81no—
965C2×C61—81no—
966C2×C61#348411yescharacteristic
967C2×C61C2×#57711yescharacteristic
968C2×C61#358611yescharacteristic
969D61—22no—
970D61—41no—
971D61—41no—
972D61—41no—
973D61—42no—
974C2×H(5,𝔽2)—611no—
975C22×#41—611no—
976C2×#137—611no—
977C2×#137—611no—
978C2×#137—611no—
979C2×#137—611no—
980C22×Q16—611no—
981C22×SD16—611no—
982C22×SD16—611no—
983C22×SD16—611no—
984#563—1221no—
985#563—1221no—
986#552—611no—
987#552—611no—
988#552—611no—
989#552—611no—
990#551—1221no—
991#551—1221no—
992#550—611no—
993#550—611no—
994D4×Q8—611no—
995D4×Q8—611no—
996D4×Q8—611no—
997D4×Q8—611no—
998#548—611no—
999#548—611no—
1000#546—611no—
1001#546—611no—
1002#546—1221no—
1003#546—1221no—
1004D42—611no—
1005D42—611no—
1006D42—1221no—
1007D42—1221no—
1008#544—1221no—
1009#544—1221no—
1010#541—611no—
1011#541C2×D6111yescharacteristic, complemented
1012#539—1221no—
1013#539—1221no—
1014#537—611no—
1015#537—1221no—
1016#536—611no—
1017#536—611no—
1018#535—1221no—
1019#535C2×D6111yescharacteristic
1020#525—611no—
1021#525—1221no—
1022C2×C22⋊Q8—611no—
1023C2×C22⋊Q8—611no—
1024C2×#121—611no—
1025C2×#121—1221no—
1026#520—611no—
1027#497—611no—
1028#497C2×D6111yescharacteristic, complemented
1029#492—611no—
1030#492C2×D6111yescharacteristic, complemented
1031#490—611no—
1032#490C2×D6111yescharacteristic, complemented
1033#488—611no—
1034#488C2×D6111yescharacteristic, complemented
1035#485—611no—
1036#485—611no—
1037#484—611no—
1038#484—611no—
1039#483—611no—
1040#483—611no—
1041#482—611no—
1042#482—611no—
1043#481—611no—
1044#481—611no—
1045#480—611no—
1046#480—611no—
1047#479—611no—
1048#479—611no—
1049#478—611no—
1050#478—611no—
1051#470—611no—
1052#470—611no—
1053#468—611no—
1054#468—611no—
1055#468—611no—
1056#468—611no—
1057#468—611no—
1058#468—611no—
1059#467—611no—
1060#467—611no—
1061#465—611no—
1062#465—611no—
1063#465—611no—
1064#465—611no—
1065#465—611no—
1066#465—611no—
1067#464—611no—
1068#464—611no—
1069#464C2×D6111yescharacteristic, complemented
1070#464C2×D6111yescharacteristic, complemented
1071#462—611no—
1072#462—611no—
1073#461—611no—
1074#461—611no—
1075#460—611no—
1076#460—611no—
1077#460C2×D6111yescharacteristic, complemented
1078#460C2×D6111yescharacteristic, complemented
1079#452—611no—
1080#452—611no—
1081#452—611no—
1082#452—611no—
1083#452—611no—
1084#452—611no—
1085#452—611no—
1086#452—611no—
1087#452—611no—
1088#452—611no—
1089#452—611no—
1090#452—611no—
1091#452—611no—
1092#452—611no—
1093#452C2×D6111yescharacteristic, complemented
1094#452C2×D6111yescharacteristic, complemented
1095#451—611no—
1096#451—611no—
1097#451—611no—
1098#451—611no—
1099#450—611no—
1100#450—611no—
1101#450—611no—
1102#450—611no—
1103#450—611no—
1104#450—611no—
1105#450—611no—
1106#450—611no—
1107#450C2×D6111yescharacteristic, complemented
1108#450C2×D6111yescharacteristic, complemented
1109#448—611no—
1110#448—611no—
1111#448—611no—
1112#448—611no—
1113#448—611no—
1114#448—611no—
1115#441—611no—
1116#441—611no—
1117#440—611no—
1118#440—611no—
1119C4×Q16—611no—
1120C4×Q16—611no—
1121C4×SD16—611no—
1122C4×SD16—611no—
1123#436—611no—
1124#436—611no—
1125#435—611no—
1126#435—611no—
1127#435—611no—
1128#435—611no—
1129C8×D4—611no—
1130C8×D4—611no—
1131#433—611no—
1132#433C2×D6111yescharacteristic, complemented
1133#418—611no—
1134#418—611no—
1135#417—611no—
1136#417—611no—
1137#416—611no—
1138#416—611no—
1139C2×#103—611no—
1140C2×#102—611no—
1141#408—611no—
1142#408—611no—
1143#407—611no—
1144C2×C22⋊C8—611no—
1145C61#6161811yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2442no—
1147H(5,𝔽2)—2442no—
1148C2×#41—611no—
1149C2×#41—611no—
1150C2×#41—611no—
1151C2×#41—611no—
1152C2×#41—611no—
1153C2×#41—611no—
1154C2×#41—1221no—
1155C2×#41—1221no—
1156C2×#41—1221no—
1157C2×#41—2442no—
1158C2×#41—2442no—
1159C2×#41C22×D6111yescharacteristic
1160C22×Q8—611no—
1161C22×Q8—611no—
1162C22×Q8—611no—
1163C22×Q8—611no—
1164C22×Q8—611no—
1165C22×D4—611no—
1166C22×D4—611no—
1167C22×D4—611no—
1168C22×D4—1221no—
1169C22×D4—1221no—
1170C22×D4—1221no—
1171C22×D4—1221no—
1172C22×D4—1221no—
1173C22×D4—1221no—
1174C22×D4—1221no—
1175C22×D4C22×D6111yescharacteristic
1176C23×C4—611no—
1177C23×C4—1221no—
1178#137—2442no—
1179#137—2442no—
1180#137—2442no—
1181#137—2442no—
1182C2×Q16—611no—
1183C2×Q16—611no—
1184C2×Q16—611no—
1185C2×Q16—611no—
1186C2×Q16—611no—
1187C2×Q16—611no—
1188C2×Q16—2442no—
1189C2×Q16C22×D6111yescharacteristic
1190C2×Q16C22×D6111yescharacteristic
1191C2×SD16—611no—
1192C2×SD16—611no—
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—2442no—
1202C2×SD16—2442no—
1203C2×SD16—2442no—
1204C2×SD16C22×D6111yescharacteristic
1205C2×SD16C22×D6111yescharacteristic
1206C2×SD16C22×D6111yescharacteristic
1207C2×SD16C22×D6111yescharacteristic
1208C2×SD16C22×D6111yescharacteristic
1209C2×SD16C22×D6111yescharacteristic
1210C2×M16—611no—
1211C2×M16—611no—
1212C2×M16—611no—
1213C2×M16—611no—
1214C22×C8—611no—
1215C22×C8—611no—
1216C22×C8—611no—
1217C22×C8—611no—
1218C4⋊Q8—611no—
1219C4⋊Q8—1221no—
1220C4⋊Q8—1221no—
1221C4⋊Q8—1221no—
1222C4⋊Q8—1221no—
1223C4⋊Q8—1221no—
1224C4⋊Q8—1221no—
1225C4⋊Q8C22×D6111yescharacteristic
1226#127—1221no—
1227#127—1221no—
1228#127C22×D6111yescharacteristic
1229#127C22×D6111yescharacteristic
1230#126—21no—
1231#126—21no—
1232#126—1221no—
1233#126—1221no—
1234#126—1221no—
1235#126—1221no—
1236#126—1221no—
1237#126—1221no—
1238#125—21no—
1239#125—21no—
1240#125—611no—
1241#125—1221no—
1242#125—1221no—
1243#125—1221no—
1244#125—1221no—
1245#125—1221no—
1246#125—1221no—
1247#125C22×D6111yescharacteristic
1248#124—1221no—
1249#124—1221no—
1250#124—1221no—
1251#124—1221no—
1252#124C22×D6111yescharacteristic
1253#124C22×D6111yescharacteristic
1254#123—611no—
1255#123—611no—
1256#123—1221no—
1257#123—1221no—
1258#123—1221no—
1259#123—1221no—
1260#123—1221no—
1261#123—1221no—
1262#123—1221no—
1263#123—1221no—
1264#123—1221no—
1265#123—1221no—
1266C22⋊Q8—611no—
1267C22⋊Q8—611no—
1268C22⋊Q8—611no—
1269C22⋊Q8—611no—
1270C22⋊Q8—611no—
1271C22⋊Q8—611no—
1272C22⋊Q8—611no—
1273C22⋊Q8—611no—
1274C22⋊Q8—611no—
1275C22⋊Q8—611no—
1276C22⋊Q8—611no—
1277C22⋊Q8—611no—
1278C22⋊Q8—611no—
1279C22⋊Q8—611no—
1280C22⋊Q8—1221no—
1281C22⋊Q8—1221no—
1282C22⋊Q8—1221no—
1283C22⋊Q8—1221no—
1284C22⋊Q8—1221no—
1285C22⋊Q8—1221no—
1286C22⋊Q8—1221no—
1287C22⋊Q8—1221no—
1288C22⋊Q8—1221no—
1289C22⋊Q8—1221no—
1290C22⋊Q8—1221no—
1291C22⋊Q8—1221no—
1292C22⋊Q8—1221no—
1293C22⋊Q8—1221no—
1294C22⋊Q8—1221no—
1295C22⋊Q8C22×D6111yescharacteristic
1296C22⋊Q8C22×D6111yescharacteristic
1297#121—21no—
1298#121—21no—
1299#121—611no—
1300#121—611no—
1301#121—611no—
1302#121—611no—
1303#121—611no—
1304#121—611no—
1305#121—611no—
1306#121—611no—
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#120—21no—
1323#120—21no—
1324#120—611no—
1325#120—611no—
1326#120—1221no—
1327#120—1221no—
1328#120—1221no—
1329#120—1221no—
1330#120—1221no—
1331#120—1221no—
1332C4×Q8—611no—
1333C4×Q8—611no—
1334C4×Q8—611no—
1335C4×Q8—611no—
1336C4×Q8C22×D6111yescharacteristic
1337C4×Q8C22×D6111yescharacteristic
1338C4×D4—611no—
1339C4×D4—611no—
1340C4×D4—611no—
1341C4×D4—611no—
1342C4×D4—611no—
1343C4×D4—611no—
1344C4×D4—1221no—
1345C4×D4—1221no—
1346C4×D4—1221no—
1347C4×D4—1221no—
1348C4×D4—1221no—
1349C4×D4—1221no—
1350C4×D4—1221no—
1351C4×D4—1221no—
1352C4×D4—1221no—
1353C4×D4—1221no—
1354#117—611no—
1355#117—611no—
1356#117—1221no—
1357#117—1221no—
1358#117—1221no—
1359#117—1221no—
1360#117—1221no—
1361#117C22×D6111yescharacteristic
1362C2×C4⋊C4—611no—
1363C2×C4⋊C4—611no—
1364C2×C4⋊C4—611no—
1365C2×C4⋊C4—1221no—
1366C2×C4⋊C4—1221no—
1367C2×C4⋊C4—1221no—
1368C2×C22⋊C4—1221no—
1369C2×C22⋊C4—1221no—
1370C2×C22⋊C4—1221no—
1371C2×C22⋊C4—1221no—
1372C2×C22⋊C4—1221no—
1373#107—611no—
1374#107—611no—
1375#107—611no—
1376#107—611no—
1377#106—611no—
1378#106—611no—
1379#106—611no—
1380#106—611no—
1381C4⋊C8—611no—
1382C4⋊C8—611no—
1383C4⋊C8C22×D6111yescharacteristic
1384C4⋊C8C22×D6111yescharacteristic
1385#103—611no—
1386#103—611no—
1387#103—611no—
1388#103—611no—
1389#103—611no—
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#103C22×D6111yescharacteristic
1400#103C22×D6111yescharacteristic
1401#102—611no—
1402#102—611no—
1403#102—611no—
1404#102—611no—
1405#102—611no—
1406#102—611no—
1407#102—611no—
1408#102—611no—
1409#102—611no—
1410#102—611no—
1411#102C22×D6111yescharacteristic
1412#102C22×D6111yescharacteristic
1413#102C22×D6111yescharacteristic
1414#102C22×D6111yescharacteristic
1415#102C22×D6111yescharacteristic
1416#102C22×D6111yescharacteristic
1417C22⋊C8—611no—
1418C22⋊C8—611no—
1419C22⋊C8—611no—
1420C22⋊C8—611no—
1421C22⋊C8—611no—
1422C22⋊C8—611no—
1423C22⋊C8—611no—
1424C22⋊C8—611no—
1425C22⋊C8—611no—
1426C22⋊C8—611no—
1427C22⋊C8C22×D6111yescharacteristic
1428C22⋊C8C22×D6111yescharacteristic
1429#97—611no—
1430#97C22×D6111yescharacteristic
1431C4×C8—611no—
1432C4×C8C22×D6111yescharacteristic
1433C24—21no—
1434C24—611no—
1435C24—1221no—
1436C24—1221no—
1437C24—1221no—
1438#41—41no—
1439#41—41no—
1440#41—1222no—
1441#41—1222no—
1442#41—1222no—
1443#41—1222no—
1444#41—1222no—
1445#41—1222no—
1446#41—2441no—
1447#41—2441no—
1448#41—2444no—
1449#41—2441no—
1450#41—2441no—
1451#41—2441no—
1452#41—2444no—
1453#41—2441no—
1454#41—2444no—
1455C2×Q8—611no—
1456C2×Q8—611no—
1457C2×Q8—611no—
1458C2×Q8—611no—
1459C2×Q8—1221no—
1460C2×Q8—1221no—
1461C2×Q8—1221no—
1462C2×Q8—1221no—
1463C2×Q8—1221no—
1464C2×Q8—1222no—
1465C2×Q8—2441no—
1466C2×Q8—2441no—
1467C2×Q8—2441no—
1468C2×Q8—2441no—
1469C2×Q8—2441no—
1470C2×Q8—2441no—
1471C2×Q8—2441no—
1472C2×Q8—2441no—
1473C2×Q8—2441no—
1474C2×Q8C23×D6111yescharacteristic
1475C2×Q8C23×D6111yescharacteristic
1476C2×Q8C23×D6111yescharacteristic
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—41no—
1485C2×D4—611no—
1486C2×D4—611no—
1487C2×D4—611no—
1488C2×D4—611no—
1489C2×D4—611no—
1490C2×D4—611no—
1491C2×D4—611no—
1492C2×D4—611no—
1493C2×D4—1221no—
1494C2×D4—1221no—
1495C2×D4—1221no—
1496C2×D4—1221no—
1497C2×D4—1222no—
1498C2×D4—1222no—
1499C2×D4—1222no—
1500C2×D4—1221no—
1501C2×D4—1221no—
1502C2×D4—1221no—
1503C2×D4—1221no—
1504C2×D4—1221no—
1505C2×D4—1221no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1221no—
1509C2×D4—1221no—
1510C2×D4—4882no—
1511C2×D4—4882no—
1512C2×D4—4882no—
1513C2×D4—2441no—
1514C2×D4—2441no—
1515C2×D4—2441no—
1516C2×D4—2444no—
1517C2×D4—2444no—
1518C2×D4—2444no—
1519C2×D4—2444no—
1520C2×D4C23×D6111yescharacteristic
1521C2×D4C23×D6111yescharacteristic
1522C2×D4C23×D6111yescharacteristic
1523C22×C4—21no—
1524C22×C4—611no—
1525C22×C4—611no—
1526C22×C4—611no—
1527C22×C4—611no—
1528C22×C4—611no—
1529C22×C4—611no—
1530C22×C4—611no—
1531C22×C4—1221no—
1532C22×C4—1221no—
1533C22×C4—1221no—
1534C22×C4—1221no—
1535C22×C4—1221no—
1536C22×C4—1221no—
1537C22×C4—1221no—
1538C22×C4—1221no—
1539C22×C4—1221no—
1540C22×C4—1221no—
1541C22×C4—1221no—
1542C22×C4—1221no—
1543C22×C4—1221no—
1544C22×C4—1221no—
1545C22×C4—1221no—
1546C22×C4—2441no—
1547C22×C4—2441no—
1548C22×C4—2444no—
1549C22×C4C23×D6111yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—1222no—
1553Q16—1222no—
1554Q16—1222no—
1555Q16—1222no—
1556Q16—2441no—
1557Q16—2441no—
1558SD16—41no—
1559SD16—41no—
1560SD16—41no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—1222no—
1565SD16—1222no—
1566SD16—1222no—
1567SD16—1222no—
1568SD16—2441no—
1569SD16—2441no—
1570SD16—2441no—
1571SD16—2441no—
1572SD16—2441no—
1573SD16—2441no—
1574M16—2441no—
1575M16—2441no—
1576M16—2441no—
1577M16—2441no—
1578C2×C8—611no—
1579C2×C8—611no—
1580C2×C8—611no—
1581C2×C8—611no—
1582C2×C8—2441no—
1583C2×C8—2441no—
1584C2×C8—2441no—
1585C2×C8—2441no—
1586C2×C8C23×D6111yescharacteristic
1587C2×C8C23×D6111yescharacteristic
1588C2×C8C23×D6111yescharacteristic
1589C2×C8C23×D6111yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—611no—
1599C4⋊C4—611no—
1600C4⋊C4—611no—
1601C4⋊C4—611no—
1602C4⋊C4—611no—
1603C4⋊C4—611no—
1604C4⋊C4—611no—
1605C4⋊C4—611no—
1606C4⋊C4—1221no—
1607C4⋊C4—1221no—
1608C4⋊C4—1221no—
1609C4⋊C4—1221no—
1610C4⋊C4—1221no—
1611C4⋊C4—1221no—
1612C4⋊C4—1221no—
1613C4⋊C4—1221no—
1614C4⋊C4—1221no—
1615C4⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1630C4⋊C4D4×D6111yescharacteristic
1631C4⋊C4C23×D6111yescharacteristic
1632C4⋊C4C23×D6111yescharacteristic
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—611no—
1640C22⋊C4—611no—
1641C22⋊C4—611no—
1642C22⋊C4—611no—
1643C22⋊C4—611no—
1644C22⋊C4—611no—
1645C22⋊C4—611no—
1646C22⋊C4—611no—
1647C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1670C22⋊C4D4×D6111yescharacteristic
1671C42—21no—
1672C42—21no—
1673C42—1221no—
1674C42—1221no—
1675C42—1221no—
1676C42—1221no—
1677C42—1221no—
1678C42—1221no—
1679C42C23×D6111yescharacteristic
1680C42C23×D6111yescharacteristic
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—42no—
1685C23—81no—
1686C23—81no—
1687C23—611no—
1688C23—611no—
1689C23—611no—
1690C23—611no—
1691C23—1222no—
1692C23—1221no—
1693C23—4881no—
1694C23—4881no—
1695C23—4881no—
1696C23—4881no—
1697C23—4881no—
1698C23—2441no—
1699C23—2441no—
1700C23—2442no—
1701C23—2442no—
1702C23—2442no—
1703C23—2442no—
1704C23C2×D4×D6111yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—612no—
1712Q8—1221no—
1713Q8—1221no—
1714Q8—1221no—
1715Q8—1221no—
1716Q8—1221no—
1717Q8—4881no—
1718Q8—4881no—
1719Q8—4881no—
1720Q8—4881no—
1721Q8—2441no—
1722Q8—2442no—
1723D4—21no—
1724D4—21no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—42no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—81no—
1735D4—612no—
1736D4—1222no—
1737D4—1222no—
1738D4—1224no—
1739D4—1221no—
1740D4—4881no—
1741D4—4881no—
1742D4—4881no—
1743D4—4881no—
1744D4—2441no—
1745D4—2441no—
1746D4—2441no—
1747D4—2442no—
1748D4—2441no—
1749D4—2441no—
1750D4—2442no—
1751D4—2442no—
1752D4—2442no—
1753D4—2442no—
1754D4—2442no—
1755D4—2442no—
1756D4—2442no—
1757D4—2442no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—611no—
1767C2×C4—611no—
1768C2×C4—611no—
1769C2×C4—611no—
1770C2×C4—1224no—
1771C2×C4—1221no—
1772C2×C4—1221no—
1773C2×C4—1221no—
1774C2×C4—1221no—
1775C2×C4—1221no—
1776C2×C4—1221no—
1777C2×C4—1221no—
1778C2×C4—1221no—
1779C2×C4—1221no—
1780C2×C4—1221no—
1781C2×C4—1221no—
1782C2×C4—1221no—
1783C2×C4—1221no—
1784C2×C4—1221no—
1785C2×C4—1221no—
1786C2×C4—4881no—
1787C2×C4—4881no—
1788C2×C4—4881no—
1789C2×C4—4881no—
1790C2×C4—4881no—
1791C2×C4—4881no—
1792C2×C4—4881no—
1793C2×C4—2441no—
1794C2×C4—2441no—
1795C2×C4—2442no—
1796C2×C4—2442no—
1797C2×C4—2442no—
1798C2×C4—2442no—
1799C2×C4—2441no—
1800C2×C4—2442no—
1801C2×C4—2442no—
1802C2×C4—2442no—
1803C2×C4C2×D4×D6111yescharacteristic
1804C2×C4C2×D4×D6111yescharacteristic
1805C2×C4C2×D4×D6111yescharacteristic
1806C2×C4C2×D4×D6111yescharacteristic
1807C2×C4C2×D4×D6111yescharacteristic
1808C2×C4C24×D6111yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1221no—
1814C8—1221no—
1815C8—1221no—
1816C8—1221no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—162no—
1830C22—612no—
1831C22—1221no—
1832C22—1221no—
1833C22—1221no—
1834C22—1221no—
1835C22—1221no—
1836C22—1221no—
1837C22—1221no—
1838C22—1221no—
1839C22—1221no—
1840C22—1221no—
1841C22—1221no—
1842C22—1222no—
1843C22—9762no—
1844C22—9762no—
1845C22—4882no—
1846C22—4884no—
1847C22—2441no—
1848C22—2441no—
1849C22C22×D4×D6111yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—1221no—
1861C4—1221no—
1862C4—1221no—
1863C4—1221no—
1864C4—1222no—
1865C4—2441no—
1866C4—2441no—
1867C4—2441no—
1868C4—2441no—
1869C4—2441no—
1870C4—2441no—
1871C4H(5,𝔽2)×D6111yescharacteristic
1872C4H(5,𝔽2)×D6111yescharacteristic
1873C2—41no—
1874C2—81no—
1875C2—81no—
1876C2—81no—
1877C2—1222no—
1878C2—2441no—
1879C2—2441no—
1880C2—2441no—
1881C2—2442no—
1882C2#2145945311yescharacteristic
1883C2#577×D6111yescharacteristic
1884C2#2146060111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3222C2
socleC22×C61C23×D4
prime radical#21459486C2
hypercenter#3222D61
hypocenterC61#61618
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3222

Complements

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

NH ≅ G/Ntype
1. #21460067C2semidirect
3. #21458042C2semidirect
4. #21458034C2semidirect
5. #21457952C2semidirect
6. #21457944C2semidirect
7. #21457847C2semidirect
8. #21457839C2semidirect
9. #21457713C2semidirect
10. #21457705C2semidirect
11. #21457514C2semidirect
12. #21457510C2semidirect
13. #21457488C2semidirect
14. #21457484C2semidirect
15. #21457388C2semidirect
16. #21457384C2semidirect
17. #21457328C2semidirect
18. #21457324C2semidirect
19. #21456891C2semidirect
20. #21456700C2semidirect
21. #21456698C2semidirect
22. #21456622C2semidirect
23. #21456573C2semidirect
24. #21456035C2semidirect
25. #21456027C2semidirect
26. #21455091C2semidirect
27. #21455091C2semidirect
28. #21455076C2semidirect
29. #452×D61C2semidirect
30. #21454865C2semidirect
31. C61×#3222C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519806C22semidirect
36. C2×#14519806C22semidirect
37. C2×#14519806C22semidirect
38. C2×Q16×D61C22semidirect
39. C2×SD16×D61C22semidirect
40. C2×SD16×D61C22semidirect
41. C2×SD16×D61C22semidirect
44. #16840453C22semidirect
45. #16840453C22semidirect
46. #16840450C22semidirect
47. #16840450C22semidirect
52. Q8×D244C22semidirect
53. Q8×D244C22semidirect
54. #16840427C22semidirect
55. #16840427C22semidirect
68. #16840374C22semidirect
73. #16840335C22semidirect
74. #16840335C22semidirect
78. C22⋊Q8×D61C22semidirect
79. C22⋊Q8×D61C22semidirect
83. #16840157C22semidirect
84. #16840134C22semidirect
85. #16840126C22semidirect
86. #16840116C22semidirect
87. #16840102C22semidirect
88. #16840101C22semidirect
89. #16840098C22semidirect
90. #16840095C22semidirect
91. #16840093C22semidirect
92. #16840090C22semidirect
93. #16840085C22semidirect
94. #16840084C22semidirect
95. #16840079C22semidirect
96. #16840079C22semidirect
97. #16840074C22semidirect
98. #16840074C22semidirect
99. #16840070C22semidirect
100. #16840066C22semidirect
101. #16840063C22semidirect
102. #16840059C22semidirect
103. #16840019C22semidirect
104. #16840017C22semidirect
105. #16840007C22semidirect
106. #16840007C22semidirect
107. #16840007C22semidirect
108. #16840005C22semidirect
109. #16840005C22semidirect
110. #16840005C22semidirect
111. #16840002C22semidirect
112. #16840000C22semidirect
113. #16839990C22semidirect
114. #16839990C22semidirect
115. #16839990C22semidirect
116. #16839988C22semidirect
117. #16839988C22semidirect
118. #16839988C22semidirect
119. #16839981C22semidirect
120. #16839981C22semidirect
121. #16839973C22semidirect
122. #16839969C22semidirect
123. #16839968C22semidirect
124. #16839964C22semidirect
125. #16839959C22semidirect
126. #16839959C22semidirect
127. #16839927C22semidirect
130. #16839925C22semidirect
131. #16839925C22semidirect
132. #16839925C22semidirect
133. #16839924C22semidirect
134. #16839924C22semidirect
135. #16839923C22semidirect
138. #16839921C22semidirect
139. #16839921C22semidirect
140. #16839921C22semidirect
141. #16839919C22semidirect
142. #16839916C22semidirect
143. #16839916C22semidirect
144. #16839916C22semidirect
145. #16839914C22semidirect
146. #16839914C22semidirect
147. #16839914C22semidirect
148. #16839913C22semidirect
149. #16839913C22semidirect
150. #16839911C22semidirect
151. #16839911C22semidirect
152. #16839911C22semidirect
153. #16839899C22semidirect
154. #16839899C22semidirect
155. #16839899C22semidirect
156. #16839899C22semidirect
157. #16839899C22semidirect
158. #16839899C22semidirect
159. #16839870C22semidirect
160. #16839867C22semidirect
161. #16839864C22semidirect
162. #16839860C22semidirect
163. C4×Dic244C22semidirect
164. C4×#11758202C22semidirect
165. C4×#11758190C22semidirect
166. C4×#11758201C22semidirect
167. #16839841C22semidirect
168. #16839839C22semidirect
169. #16839835C22semidirect
170. #16839835C22semidirect
171. #16839832C22semidirect
172. #16839832C22semidirect
173. C8×D244C22semidirect
174. #16839827C22semidirect
175. #16839823C22semidirect
176. #16839765C22semidirect
177. #16839765C22semidirect
178. #16839762C22semidirect
179. #16839760C22semidirect
180. #16839755C22semidirect
181. #16839755C22semidirect
182. #103×D61C22semidirect
183. #102×D61C22semidirect
184. #16839727C22semidirect
185. #16839727C22semidirect
186. #16839724C22semidirect
187. C22⋊C8×D61C22semidirect
188. C61×#541C22semidirect
190. C61×#497C22semidirect
191. C61×#492C22semidirect
192. C61×#490C22semidirect
193. C61×#488C22semidirect
194. C61×#464C22semidirect
195. C61×#464C22semidirect
196. C61×#460C22semidirect
197. C61×#460C22semidirect
198. C61×#452C22semidirect
199. C61×#452C22semidirect
200. C61×#450C22semidirect
201. C61×#450C22semidirect
202. C61×#433C22semidirect
950. #3222D61semidirect
1011. #541C2×D61semidirect
1028. #497C2×D61semidirect
1030. #492C2×D61semidirect
1032. #490C2×D61semidirect
1034. #488C2×D61semidirect
1069. #464C2×D61semidirect
1070. #464C2×D61semidirect
1077. #460C2×D61semidirect
1078. #460C2×D61semidirect
1093. #452C2×D61semidirect
1094. #452C2×D61semidirect
1107. #450C2×D61semidirect
1108. #450C2×D61semidirect
1132. #433C2×D61semidirect
1145. C61#61618semidirect

Maximal subgroups

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

subgroupindex
#214600672
#214594862
#214580422
#214580342
#214579522
#214579442
#214578472
#214578392
#214577132
#214577052
#214575142
#214575102
#214574882
#214574842
#214573882
#214573842
#214573282
#214573242
#214568912
#214567002
#214566982
#214566222
#214565732
#214560352
#214560272
#214550912
#214550762
#452×D612
#214548652
C61×#32222
#6161861