Finite Group Databasebeta

← #3344×D73 #33964523

Subgroups — #3344×D73 #33964523

Order 18688.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D73C211yesmaximal, characteristic
2#552×D73C211yesmaximal, characteristic
3#22622393C211yesmaximal, characteristic, complemented
4#22622392C211yesmaximal, characteristic, complemented
5#22622391C211yesmaximal, characteristic, complemented
6#22622390C211yesmaximal, characteristic, complemented
7#22622389C211yesmaximal, characteristic, complemented
8#22622388C211yesmaximal, characteristic, complemented
9#22622387C211yesmaximal, characteristic, complemented
10#22622386C211yesmaximal, characteristic, complemented
11#22622385C211yesmaximal, characteristic, complemented
12#22622384C211yesmaximal, characteristic, complemented
13#22622383C211yesmaximal, characteristic, complemented
14#22622382C211yesmaximal, characteristic, complemented
15#22622381C211yesmaximal, characteristic, complemented
16#22622380C211yesmaximal, characteristic, complemented
17#22622379C211yesmaximal, characteristic, complemented
18#501×D73C211yesmaximal, characteristic, complemented
19#484×D73C211yesmaximal, characteristic, complemented
20#485×D73C211yesmaximal, characteristic, complemented
21#483×D73C211yesmaximal, characteristic, complemented
22#483×D73C211yesmaximal, characteristic, complemented
23#479×D73C211yesmaximal, characteristic, complemented
24#475×D73C211yesmaximal, characteristic, complemented
25#470×D73C211yesmaximal, characteristic, complemented
26#467×D73C211yesmaximal, characteristic, complemented
27#441×D73C211yesmaximal, characteristic, complemented
28#435×D73C211yesmaximal, characteristic
29#428×D73C211yesmaximal, characteristic, complemented
30C2×#106×D73C211yesmaximal, characteristic, complemented
31C73×#3344C211yesmaximal, characteristic, complemented
32C2×Q16×D73C2211yescharacteristic
33C2×M16×D73C2211yescharacteristic
34C22×C8×D73C2211yescharacteristic
35#17989298C2211yescharacteristic
36#17989297C2211yescharacteristic
37#17989296—21no—
38#17989295C2211yescharacteristic
39#17989295C2211yescharacteristic
40#17989294C2211yescharacteristic
41#17989293—21no—
42#17989292C2211yescharacteristic
43#17989292C2211yescharacteristic
44#17989291—21no—
45#17989291—21no—
46#17989279C2211yescharacteristic
47#17989278C2211yescharacteristic
48#17989277C2211yescharacteristic
49#17989276C2211yescharacteristic
50#17989275C2211yescharacteristic
51#17989274—21no—
52#17989273—21no—
53#17989272C2211yescharacteristic
54#17989271C2211yescharacteristic
55#17989270—21no—
56#17989269—21no—
57C4⋊Q8×D73C2211yescharacteristic
58#126×D73—21no—
59#125×D73—21no—
60#125×D73—21no—
61#125×D73C2211yescharacteristic
62#123×D73—21no—
63C22⋊Q8×D73—21no—
64C22⋊Q8×D73—21no—
65C22⋊Q8×D73C2211yescharacteristic
66C22⋊Q8×D73C2211yescharacteristic
67C22⋊Q8×D73C2211yescharacteristic
68C22⋊Q8×D73C2211yescharacteristic
69C4×Q8×D73C2211yescharacteristic
70C4×Q8×D73C2211yescharacteristic
71C4×D4×D73—21no—
72C4×D4×D73C2211yescharacteristic
73#117×D73—21no—
74#117×D73C2211yescharacteristic
75C2×C4⋊C4×D73C2211yescharacteristic
76C2×C4⋊C4×D73C2211yescharacteristic
77C2×C4⋊C4×D73C2211yescharacteristic
78#17988997C2211yescharacteristic, complemented
79#17988996C2211yescharacteristic, complemented
80#17988995C2211yescharacteristic, complemented
81#17988995C2211yescharacteristic, complemented
82#17988994C2211yescharacteristic, complemented
83#17988994C2211yescharacteristic, complemented
84#17988993C2211yescharacteristic, complemented
85#17988931C2211yescharacteristic, complemented
86#17988930C2211yescharacteristic, complemented
87#17988929C2211yescharacteristic, complemented
88#17988928C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988926C2211yescharacteristic, complemented
91#17988925C2211yescharacteristic, complemented
92#17988924C2211yescharacteristic, complemented
93#17988924C2211yescharacteristic, complemented
94#17988923C2211yescharacteristic, complemented
95#17988922C2211yescharacteristic, complemented
96#17988921C2211yescharacteristic, complemented
97#17988921C2211yescharacteristic, complemented
98#17988920C2211yescharacteristic, complemented
99#17988919C2211yescharacteristic, complemented
100#17988919C2211yescharacteristic, complemented
101#17988919C2211yescharacteristic, complemented
102#17988919C2211yescharacteristic, complemented
103#17988918C2211yescharacteristic, complemented
104#17988918C2211yescharacteristic, complemented
105#17988917C2211yescharacteristic, complemented
106#17988917C2211yescharacteristic, complemented
107#17988916C2211yescharacteristic, complemented
108#17988916C2211yescharacteristic, complemented
109#17988916C2211yescharacteristic, complemented
110#17988916C2211yescharacteristic, complemented
111#17988915C2211yescharacteristic, complemented
112#17988915C2211yescharacteristic, complemented
113#17988897C2211yescharacteristic, complemented
114#17988896C2211yescharacteristic, complemented
115#17988895C2211yescharacteristic, complemented
116#17988894C2211yescharacteristic, complemented
117#17988893C2211yescharacteristic, complemented
118#17988892C2211yescharacteristic, complemented
119#17988891C2211yescharacteristic, complemented
120#17988873C2211yescharacteristic, complemented
121#17988872C2211yescharacteristic, complemented
122#17988871C2211yescharacteristic, complemented
123#17988871C2211yescharacteristic, complemented
124#17988870C2211yescharacteristic, complemented
125#17988870C2211yescharacteristic, complemented
126#17988869C2211yescharacteristic, complemented
127#17988846C2211yescharacteristic, complemented
128#17988845C2211yescharacteristic, complemented
129#17988844C2211yescharacteristic, complemented
130#17988844C2211yescharacteristic, complemented
131#17988843C2211yescharacteristic, complemented
132#17988843C2211yescharacteristic, complemented
133#17988842C2211yescharacteristic, complemented
134#17988829C2211yescharacteristic, complemented
135#17988828C2211yescharacteristic, complemented
136#17988827C2211yescharacteristic, complemented
137#17988827C2211yescharacteristic, complemented
138#17988826C2211yescharacteristic, complemented
139#17988826C2211yescharacteristic, complemented
140#17988825C2211yescharacteristic, complemented
141#17988695C2211yescharacteristic, complemented
142#17988694C2211yescharacteristic, complemented
143#17988693C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988692C2211yescharacteristic, complemented
146#17988691C2211yescharacteristic, complemented
147#17988691C2211yescharacteristic, complemented
148#17988661C2211yescharacteristic
149#17988660C2211yescharacteristic
150#17988659C2211yescharacteristic
151#17988658C2211yescharacteristic
152#17988657C2211yescharacteristic
153#17988656C2211yescharacteristic
154#17988655C2211yescharacteristic
155#17988630C2211yescharacteristic, complemented
156#17988629C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988628C2211yescharacteristic, complemented
159#17988627C2211yescharacteristic, complemented
160#17988626C2211yescharacteristic, complemented
161#17988626C2211yescharacteristic, complemented
162#107×D73C2211yescharacteristic
163#107×D73C2211yescharacteristic
164#107×D73C2211yescharacteristic
165C2×#14556523C2211yescharacteristic, complemented
166C2×#14556522C2211yescharacteristic, complemented
167C2×#14556522C2211yescharacteristic, complemented
168#106×D73C2211yescharacteristic
169#106×D73C2211yescharacteristic
170#106×D73C2211yescharacteristic
171#106×D73C2211yescharacteristic
172#106×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#106×D73C2211yescharacteristic, complemented
175#106×D73C2211yescharacteristic, complemented
176#106×D73C2211yescharacteristic, complemented
177#106×D73C2211yescharacteristic, complemented
178C4⋊C8×D73C2211yescharacteristic
179#103×D73C2211yescharacteristic
180#103×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#103×D73C2211yescharacteristic
183#103×D73C2211yescharacteristic
184#103×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic
187#97×D73C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#552×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic, complemented
193#483×C73C2211yescharacteristic, complemented
194#483×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#475×C73C2211yescharacteristic, complemented
197#470×C73C2211yescharacteristic, complemented
198#467×C73C2211yescharacteristic, complemented
199#441×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#106×C73C2211yescharacteristic, complemented
203C2×Q8×D73—21no—
204C2×Q8×D73C2311yescharacteristic
205C2×Q8×D73C2311yescharacteristic
206C2×D4×D73D411yescharacteristic
207C22×C4×D73—21no—
208C22×C4×D73—21no—
209C22×C4×D73—21no—
210C22×C4×D73C2311yescharacteristic
211C22×C4×D73C2311yescharacteristic
212C2×Dic292C2311yescharacteristic
213C2×#11924018C2311yescharacteristic
214C2×#11924018C2311yescharacteristic
215Q16×D73—24no—
216C2×#11924012C2311yescharacteristic
217C2×#11924011C2311yescharacteristic
218C2×#11924011C2311yescharacteristic
219M16×D73—24no—
220C22×#10596831C2311yescharacteristic
221C2×C8×D73—24no—
222C2×C8×D73C2311yescharacteristic
223C2×C8×D73C2311yescharacteristic
224C2×C8×D73C2311yescharacteristic
225C2×C8×D73C2311yescharacteristic
226C2×C8×D73C2311yescharacteristic
227C2×C8×D73C2311yescharacteristic
228#14556591C2311yescharacteristic
229#14556590—21no—
230#14556590C2311yescharacteristic
231#14556590C2311yescharacteristic
232#14556589—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556585—21no—
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556583—21no—
241#14556583—21no—
242#14556583C2311yescharacteristic
243#14556582—21no—
244#14556582—21no—
245#14556582—21no—
246#14556582—21no—
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581—21no—
259#14556576—21no—
260#14556576—21no—
261#14556575—21no—
262#14556574—21no—
263#14556573—21no—
264#14556573—21no—
265#14556572—21no—
266#14556571—21no—
267#14556571—21no—
268#14556571C2311yescharacteristic
269#14556571C2311yescharacteristic
270#14556571C2311yescharacteristic
271#14556571C2311yescharacteristic
272#14556570—21no—
273#14556570—21no—
274#14556570C2311yescharacteristic
275#14556570C2311yescharacteristic
276#14556570C2311yescharacteristic
277#14556570C2311yescharacteristic
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569—21no—
286#14556568—21no—
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556567—21no—
295#14556567—21no—
296#14556567C2311yescharacteristic
297#14556567C2311yescharacteristic
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300Q8×Dic73C2311yescharacteristic
301Q8×Dic73C2311yescharacteristic
302C4×Dic146—21no—
303C4×Dic146—21no—
304C4×Dic146C2311yescharacteristic
305C4×Dic146C2311yescharacteristic
306#14556556—21no—
307#14556556—21no—
308#14556556C2311yescharacteristic
309#14556556C2311yescharacteristic
310C4×D292—21no—
311C4×D292C2311yescharacteristic
312D4×Dic73—21no—
313D4×Dic73D411yescharacteristic
314#14556553—21no—
315#14556553D411yescharacteristic
316C4×C22⋊D73—21no—
317C4×C22⋊D73—21no—
318C4×C22⋊D73C2311yescharacteristic
319C4×C22⋊D73C2311yescharacteristic
320#14556551—21no—
321#14556551—21no—
322#14556551D411yescharacteristic
323#14556551D411yescharacteristic
324#14556550—21no—
325#14556550C2311yescharacteristic
326#14556549—21no—
327#14556549—21no—
328#14556549C2311yescharacteristic
329#14556549C2311yescharacteristic
330#14556548—21no—
331#14556548—21no—
332#14556548—21no—
333#14556547—21no—
334#14556547—21no—
335#14556547—21no—
336C2×C4⋊Dic73C2311yescharacteristic
337C2×C4⋊Dic73C2311yescharacteristic
338C2×C4⋊Dic73C2311yescharacteristic
339C2×#11924007—21no—
340C2×#11924007—21no—
341C2×#11924007—21no—
342C4⋊C4×D73—21no—
343C4⋊C4×D73—21no—
344C4⋊C4×D73—21no—
345C4⋊C4×D73—21no—
346C4⋊C4×D73—21no—
347C4⋊C4×D73—21no—
348C4⋊C4×D73—21no—
349C4⋊C4×D73—21no—
350C4⋊C4×D73—21no—
351C4⋊C4×D73—21no—
352C4⋊C4×D73—21no—
353C4⋊C4×D73—21no—
354C4⋊C4×D73—21no—
355C4⋊C4×D73—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73D411yescharacteristic
358C4⋊C4×D73C2311yescharacteristic
359C4⋊C4×D73C2311yescharacteristic
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C4⋊C4×D73C2311yescharacteristic
367C4⋊C4×D73C2311yescharacteristic
368C4⋊C4×D73C2311yescharacteristic
369C4⋊C4×D73C2311yescharacteristic
370C22⋊C4×D73—21no—
371C22⋊C4×D73—21no—
372C22⋊C4×D73—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C22⋊C4×D73D411yescharacteristic
376C22⋊C4×D73D411yescharacteristic
377C42×D73—21no—
378C42×D73—21no—
379C42×D73—21no—
380C42×D73C2311yescharacteristic
381#14556525C2311yescharacteristic
382#14556525C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556523C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556523C2311yescharacteristic
395#14556523C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403#14556522C2311yescharacteristic
404#14556522C2311yescharacteristic
405#14556522C2311yescharacteristic
406#14556522C2311yescharacteristic
407#14556522C2311yescharacteristic
408C4⋊#10596831C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429C22⋊#10596831C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556502C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C2×Q16×C73C2311yescharacteristic
439C2×M16×C73C2311yescharacteristic
440C22×C8×C73C2311yescharacteristic
441C4⋊Q8×C73C2311yescharacteristic
442#126×C73—21no—
443#125×C73—21no—
444#125×C73—21no—
445#125×C73C2311yescharacteristic
446#123×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C22⋊Q8×C73C2311yescharacteristic
450C22⋊Q8×C73C2311yescharacteristic
451C22⋊Q8×C73C2311yescharacteristic
452C22⋊Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×Q8×C73C2311yescharacteristic
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457#117×C73—21no—
458#117×C73C2311yescharacteristic
459C2×C4⋊C4×C73C2311yescharacteristic
460C2×C4⋊C4×C73C2311yescharacteristic
461C2×C4⋊C4×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#103×C73C2311yescharacteristic
478C22⋊C8×C73C2311yescharacteristic
479C22⋊C8×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481C23×D73C2×D411yescharacteristic
482C23×D73C2×D411yescharacteristic
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146C2411yescharacteristic
489C2×Dic146C2411yescharacteristic
490Q8×D73—22no—
491Q8×D73—22no—
492Q8×D73—22no—
493Q8×D73—22no—
494Q8×D73—82no—
495C2×D292C2×D411yescharacteristic
496C2×C22⋊D73C2×D411yescharacteristic
497C2×C22⋊D73C2×D411yescharacteristic
498D4×D73—24no—
499C22×Dic73—21no—
500C22×Dic73—21no—
501C22×Dic73—21no—
502C22×Dic73C2×D411yescharacteristic
503C22×Dic73C2×D411yescharacteristic
504C2×C4×D73—22no—
505C2×C4×D73—22no—
506C2×C4×D73—22no—
507C2×C4×D73—22no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—44no—
523C2×C4×D73—82no—
524C2×C4×D73—82no—
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2×D411yescharacteristic
529C2×C4×D73C2×D411yescharacteristic
530C2×C4×D73C2×D411yescharacteristic
531C2×C4×D73C2411yescharacteristic
532C2×C4×D73C2411yescharacteristic
533C2×C4×D73C2411yescharacteristic
534Dic292—22no—
535#11924018—22no—
536#11924018—22no—
537#11924012—22no—
538#11924011—22no—
539#11924011—22no—
540C2×#10596831—22no—
541C2×#10596831C2411yescharacteristic
542C2×#10596831C2411yescharacteristic
543C2×#10596831C2411yescharacteristic
544C2×#10596831C2411yescharacteristic
545C8×D73—22no—
546C8×D73—22no—
547C8×D73—22no—
548C8×D73—22no—
549C8×D73—22no—
550C8×D73#4114yes—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73C2×D411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566C4⋊Dic73C2411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007C2×D411yescharacteristic
601#11924007C2×D411yescharacteristic
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73C2×D411yescharacteristic
608C22⋊Dic73C2×D411yescharacteristic
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005C2×D411yescharacteristic
620#11924005C2×D411yescharacteristic
621#11924005C2×D411yescharacteristic
622#11924005C2×D411yescharacteristic
623C4×Dic73—21no—
624C4×Dic73—21no—
625C4×Dic73—21no—
626C4×Dic73—21no—
627C4×Dic73—21no—
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73C2×D411yescharacteristic
633C4×Dic73C2×D411yescharacteristic
634C4×Dic73C2411yescharacteristic
635C2×Q8×C73—21no—
636C2×Q8×C73C2411yescharacteristic
637C2×Q8×C73C2411yescharacteristic
638C2×D4×C73C2×D411yescharacteristic
639C22×C4×C73—21no—
640C22×C4×C73—21no—
641C22×C4×C73—21no—
642C22×C4×C73C2411yescharacteristic
643C22×C4×C73C2411yescharacteristic
644Q16×C73—22no—
645M16×C73—22no—
646C2×C8×C73—22no—
647C2×C8×C73C2411yescharacteristic
648C2×C8×C73C2411yescharacteristic
649C2×C8×C73C2411yescharacteristic
650C2×C8×C73C2411yescharacteristic
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73—21no—
658C4⋊C4×C73—21no—
659C4⋊C4×C73—21no—
660C4⋊C4×C73—21no—
661C4⋊C4×C73—21no—
662C4⋊C4×C73—21no—
663C4⋊C4×C73C2×D411yescharacteristic
664C4⋊C4×C73C2411yescharacteristic
665C4⋊C4×C73C2411yescharacteristic
666C4⋊C4×C73C2411yescharacteristic
667C4⋊C4×C73C2411yescharacteristic
668C4⋊C4×C73C2411yescharacteristic
669C4⋊C4×C73C2411yescharacteristic
670C22⋊C4×C73—21no—
671C22⋊C4×C73—21no—
672C22⋊C4×C73—21no—
673C22⋊C4×C73—21no—
674C22⋊C4×C73—21no—
675C22⋊C4×C73C2×D411yescharacteristic
676C22⋊C4×C73C2×D411yescharacteristic
677C42×C73—21no—
678C42×C73—21no—
679C42×C73—21no—
680C42×C73C2411yescharacteristic
681C23×C73C22×D411yescharacteristic
682C23×C73C22×D411yescharacteristic
683C22×D73—22no—
684C22×D73—22no—
685C22×D73—22no—
686C22×D73—22no—
687C22×D73—22no—
688C22×D73#13714yes—
689C22×D73C22×D411yescharacteristic
690C22×D73C22×D411yescharacteristic
691C22×D73C22×D411yescharacteristic
692Q8×C73—21no—
693Q8×C73—21no—
694Q8×C73—21no—
695Q8×C73—21no—
696Q8×C73—81no—
697D4×C73—22no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—21no—
705C2×C4×C73—21no—
706C2×C4×C73—21no—
707C2×C4×C73—21no—
708C2×C4×C73—21no—
709C2×C4×C73—21no—
710C2×C4×C73—42no—
711C2×C4×C73—81no—
712C2×C4×C73—81no—
713C2×C4×C73C22×D411yescharacteristic
714C2×C4×C73C22×D411yescharacteristic
715C2×C4×C73C22×D411yescharacteristic
716C2×C4×C73C22×D411yescharacteristic
717C2×C4×C73C2511yescharacteristic
718C22⋊D73—22no—
719C22⋊D73—22no—
720C2×Dic73—22no—
721C2×Dic73—22no—
722C2×Dic73—21no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—21no—
730C2×Dic73—42no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738D292—22no—
739C4×D73—22no—
740C4×D73—22no—
741C4×D73—22no—
742C4×D73—22no—
743C4×D73—21no—
744C4×D73—21no—
745C4×D73—21no—
746C4×D73—21no—
747C4×D73—22no—
748C4×D73—22no—
749C4×D73—42no—
750C4×D73—42no—
751C4×D73—42no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—42no—
755C4×D73—42no—
756C4×D73—42no—
757C4×D73—42no—
758C4×D73—42no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73C2×#4112yes—
764C4×D732−1+412yes—
765Dic146—21no—
766Dic146—21no—
767Dic146—21no—
768Dic146—21no—
769Dic146—42no—
770Dic146—42no—
771Dic146—81no—
772Dic146—81no—
773Dic146—81no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777C8×C73C2×#4112yes—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781#10596831C2×#4112yes—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—21no—
787C22×C73C2×#13712yes—
788C22×C73C23×D411yescharacteristic
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—28no—
792C2×D73—21no—
793C2×D73—21no—
794C2×D73—21no—
795C2×D73—44no—
796C2×D73#54712yes—
797C2×D73C2×#13712yes—
798C2×D73C2×#13712yes—
799C2×D73#57712yes—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—21no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73C22×#4111yescharacteristic
813C4×C73C2×2−1+411yescharacteristic
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—21no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823Dic73—41no—
824Dic73—41no—
825Dic73—41no—
826Dic73#54712yes—
827C2×#3344—731nomaximal, Sylow
828C2×C73—22no—
829C2×C73—41no—
830C2×C73C2×#54711yescharacteristic
831C2×C73C22×#13711yescharacteristic
832C2×C73C2×#57711yescharacteristic
833D73—22no—
834D73—41no—
835D73#334414yesdirect product factor
836C2×#554—731no—
837C2×#552—731no—
838#3344—731no—
839#3344—731no—
840#3344—731no—
841#3344—731no—
842#3344—731no—
843#3344—731no—
844#3344—731no—
845#3344—731no—
846#3344—731no—
847#3344—731no—
848#3344—731no—
849#3344—731no—
850#3344—731no—
851#3344—731no—
852#3344—731no—
853#3344D7311yescharacteristic, direct product factor
854C2×#501—731no—
855C2×#484—731no—
856C2×#485—731no—
857C2×#483—731no—
858C2×#483—731no—
859C2×#479—731no—
860C2×#475—731no—
861C2×#470—731no—
862C2×#467—731no—
863C2×#441—731no—
864C2×#435—731no—
865C2×#428—731no—
866C22×#106—731no—
867C73C2×#334411yescharacteristic, complemented, Sylow
868C22×Q16—731no—
869C22×M16—731no—
870C23×C8—731no—
871#554—731no—
872#554—731no—
873#554—731no—
874#554—731no—
875#554—731no—
876#554—731no—
877#554—731no—
878#554—1461no—
879#554—1461no—
880#554—1461no—
881#554—1461no—
882#554C2×D7311yescharacteristic
883#552—731no—
884#552—731no—
885#552—731no—
886#552—731no—
887#552—731no—
888#552—731no—
889#552—731no—
890#552—1461no—
891#552—1461no—
892#552—1461no—
893#552—1461no—
894#552C2×D7311yescharacteristic
895C2×C4⋊Q8—731no—
896C2×#126—1461no—
897C2×#125—731no—
898C2×#125—1461no—
899C2×#125—1461no—
900C2×#123—1461no—
901C2×C22⋊Q8—731no—
902C2×C22⋊Q8—731no—
903C2×C22⋊Q8—731no—
904C2×C22⋊Q8—731no—
905C2×C22⋊Q8—1461no—
906C2×C22⋊Q8—1461no—
907C2×C4×Q8—731no—
908C2×C4×Q8—731no—
909C2×C4×D4—731no—
910C2×C4×D4—1461no—
911C2×#117—731no—
912C2×#117—1461no—
913C22×C4⋊C4—731no—
914C22×C4⋊C4—731no—
915C22×C4⋊C4—731no—
916#501—731no—
917#501—731no—
918#501—731no—
919#501—731no—
920#501—731no—
921#501—731no—
922#501—731no—
923#501C2×D7311yescharacteristic, complemented
924#485—731no—
925#485—731no—
926#485—731no—
927#485—731no—
928#485—731no—
929#485—731no—
930#485—731no—
931#485C2×D7311yescharacteristic, complemented
932#484—731no—
933#484—731no—
934#484—731no—
935#484—731no—
936#484—731no—
937#484—731no—
938#484—731no—
939#484C2×D7311yescharacteristic, complemented
940#483—731no—
941#483—731no—
942#483—731no—
943#483—731no—
944#483—731no—
945#483—731no—
946#483—731no—
947#483—731no—
948#483—731no—
949#483—731no—
950#483—731no—
951#483—731no—
952#483—731no—
953#483—731no—
954#483C2×D7311yescharacteristic, complemented
955#483C2×D7311yescharacteristic, complemented
956#479—731no—
957#479—731no—
958#479—731no—
959#479—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479C2×D7311yescharacteristic, complemented
964#475—731no—
965#475—731no—
966#475—731no—
967#475—731no—
968#475—731no—
969#475—731no—
970#475—731no—
971#475C2×D7311yescharacteristic, complemented
972#470—731no—
973#470—731no—
974#470—731no—
975#470—731no—
976#470—731no—
977#470—731no—
978#470—731no—
979#470C2×D7311yescharacteristic, complemented
980#467—731no—
981#467—731no—
982#467—731no—
983#467—731no—
984#467—731no—
985#467—731no—
986#467—731no—
987#467C2×D7311yescharacteristic, complemented
988#441—731no—
989#441—731no—
990#441—731no—
991#441—731no—
992#441—731no—
993#441—731no—
994#441—731no—
995#441C2×D7311yescharacteristic, complemented
996#435—731no—
997#435—731no—
998#435—731no—
999#435—731no—
1000#435—731no—
1001#435—731no—
1002#435—731no—
1003#435C2×D7311yescharacteristic
1004#428—731no—
1005#428—731no—
1006#428—731no—
1007#428—731no—
1008#428—731no—
1009#428—731no—
1010#428—731no—
1011#428C2×D7311yescharacteristic, complemented
1012C2×#107—731no—
1013C2×#107—731no—
1014C2×#107—731no—
1015C2×#106—731no—
1016C2×#106—731no—
1017C2×#106—731no—
1018C2×#106—731no—
1019C2×#106—731no—
1020C2×#106—731no—
1021C2×#106—731no—
1022C2×#106—731no—
1023C2×#106—731no—
1024C2×#106—731no—
1025C2×#106—731no—
1026C2×#106—731no—
1027C2×#106—731no—
1028C2×#106C2×D7311yescharacteristic, complemented
1029C2×C4⋊C8—731no—
1030C2×#103—731no—
1031C2×#103—731no—
1032C2×#103—731no—
1033C2×#103—731no—
1034C2×#103—731no—
1035C2×#103—731no—
1036C2×C22⋊C8—731no—
1037C2×C22⋊C8—731no—
1038C2×#97—731no—
1039C22×Q8—731no—
1040C22×Q8—731no—
1041C22×Q8—1461no—
1042C22×D4—731no—
1043C23×C4—731no—
1044C23×C4—731no—
1045C23×C4—1461no—
1046C23×C4—1461no—
1047C23×C4—1461no—
1048C2×Q16—731no—
1049C2×Q16—731no—
1050C2×Q16—731no—
1051C2×Q16—1464no—
1052C2×Q16C22×D7311yescharacteristic
1053C2×M16—731no—
1054C2×M16—731no—
1055C2×M16—731no—
1056C2×M16—1464no—
1057C2×M16C22×D7311yescharacteristic
1058C22×C8—731no—
1059C22×C8—731no—
1060C22×C8—731no—
1061C22×C8—731no—
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8—1464no—
1066C22×C8C22×D7311yescharacteristic
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—1461no—
1071C4⋊Q8—1461no—
1072C4⋊Q8C22×D7311yescharacteristic
1073#126—21no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—21no—
1082#125—21no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—1461no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125—1461no—
1097#125—1461no—
1098#125—1461no—
1099#125—1461no—
1100#125—1461no—
1101#125—1461no—
1102#125C22×D7311yescharacteristic
1103#123—21no—
1104#123—1461no—
1105#123—1461no—
1106#123—1461no—
1107#123—1461no—
1108#123—1461no—
1109#123—1461no—
1110#123—1461no—
1111C22⋊Q8—21no—
1112C22⋊Q8—21no—
1113C22⋊Q8—731no—
1114C22⋊Q8—731no—
1115C22⋊Q8—731no—
1116C22⋊Q8—731no—
1117C22⋊Q8—731no—
1118C22⋊Q8—731no—
1119C22⋊Q8—731no—
1120C22⋊Q8—731no—
1121C22⋊Q8—731no—
1122C22⋊Q8—731no—
1123C22⋊Q8—731no—
1124C22⋊Q8—731no—
1125C22⋊Q8—1461no—
1126C22⋊Q8—1461no—
1127C22⋊Q8—1461no—
1128C22⋊Q8—1461no—
1129C22⋊Q8—1461no—
1130C22⋊Q8—1461no—
1131C22⋊Q8—1461no—
1132C22⋊Q8—1461no—
1133C22⋊Q8—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8C22×D7311yescharacteristic
1148C22⋊Q8C22×D7311yescharacteristic
1149C22⋊Q8C22×D7311yescharacteristic
1150C22⋊Q8C22×D7311yescharacteristic
1151C4×Q8—731no—
1152C4×Q8—731no—
1153C4×Q8—731no—
1154C4×Q8—731no—
1155C4×Q8—731no—
1156C4×Q8—731no—
1157C4×Q8—1461no—
1158C4×Q8—1461no—
1159C4×Q8—1461no—
1160C4×Q8—1461no—
1161C4×Q8C22×D7311yescharacteristic
1162C4×Q8C22×D7311yescharacteristic
1163C4×D4—21no—
1164C4×D4—731no—
1165C4×D4—731no—
1166C4×D4—731no—
1167C4×D4—731no—
1168C4×D4—731no—
1169C4×D4—731no—
1170C4×D4—731no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4—1461no—
1176C4×D4—1461no—
1177C4×D4—1461no—
1178C4×D4C22×D7311yescharacteristic
1179#117—21no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—1461no—
1184#117—1461no—
1185#117—1461no—
1186#117—1461no—
1187#117—1461no—
1188#117—1461no—
1189#117—1461no—
1190#117—1461no—
1191#117—1461no—
1192#117C22×D7311yescharacteristic
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—731no—
1198C2×C4⋊C4—731no—
1199C2×C4⋊C4—731no—
1200C2×C4⋊C4—731no—
1201C2×C4⋊C4—731no—
1202C2×C4⋊C4—731no—
1203C2×C4⋊C4—731no—
1204C2×C4⋊C4—731no—
1205C2×C4⋊C4—731no—
1206C2×C4⋊C4—731no—
1207C2×C4⋊C4—731no—
1208C2×C4⋊C4—731no—
1209C2×C4⋊C4—1461no—
1210C2×C4⋊C4—1461no—
1211C2×C4⋊C4—1461no—
1212C2×C4⋊C4—1461no—
1213C2×C4⋊C4—1461no—
1214C2×C4⋊C4—1461no—
1215C2×C4⋊C4—1461no—
1216C2×C4⋊C4—1461no—
1217C2×C4⋊C4—1461no—
1218C2×C4⋊C4—1461no—
1219C2×C4⋊C4—1461no—
1220C2×C4⋊C4—1461no—
1221C2×C4⋊C4—1461no—
1222C2×C4⋊C4—1461no—
1223C2×C4⋊C4—1461no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C4⋊C4C22×D7311yescharacteristic
1229C2×C4⋊C4C22×D7311yescharacteristic
1230C2×C22⋊C4—731no—
1231C2×C22⋊C4—731no—
1232C2×C22⋊C4—1461no—
1233C2×C22⋊C4—1461no—
1234C2×C22⋊C4—1461no—
1235C2×C22⋊C4—1461no—
1236C2×C22⋊C4—1461no—
1237C2×C42—731no—
1238C2×C42—1461no—
1239C2×C42—1461no—
1240C2×C42—1461no—
1241#107—731no—
1242#107—731no—
1243#107—731no—
1244#107—731no—
1245#107—731no—
1246#107—731no—
1247#107—731no—
1248#107—731no—
1249#107—731no—
1250#107C22×D7311yescharacteristic
1251#107C22×D7311yescharacteristic
1252#107C22×D7311yescharacteristic
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106—731no—
1262#106—731no—
1263#106—731no—
1264#106—731no—
1265#106—731no—
1266#106—731no—
1267#106—731no—
1268#106—731no—
1269#106—731no—
1270#106—731no—
1271#106C22×D7311yescharacteristic
1272#106C22×D7311yescharacteristic
1273#106C22×D7311yescharacteristic
1274#106C22×D7311yescharacteristic
1275#106C22×D7311yescharacteristic
1276#106C22×D7311yescharacteristic
1277C4⋊C8—731no—
1278C4⋊C8—731no—
1279C4⋊C8—731no—
1280C4⋊C8C22×D7311yescharacteristic
1281#103—731no—
1282#103—731no—
1283#103—731no—
1284#103—731no—
1285#103—731no—
1286#103—731no—
1287#103—731no—
1288#103—731no—
1289#103—731no—
1290#103—731no—
1291#103—731no—
1292#103—731no—
1293#103—731no—
1294#103—731no—
1295#103—731no—
1296#103—731no—
1297#103—731no—
1298#103—731no—
1299#103C22×D7311yescharacteristic
1300#103C22×D7311yescharacteristic
1301#103C22×D7311yescharacteristic
1302#103C22×D7311yescharacteristic
1303#103C22×D7311yescharacteristic
1304#103C22×D7311yescharacteristic
1305C22⋊C8—731no—
1306C22⋊C8—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8—731no—
1311C22⋊C8C22×D7311yescharacteristic
1312C22⋊C8C22×D7311yescharacteristic
1313#97—731no—
1314#97—731no—
1315#97—731no—
1316#97C22×D7311yescharacteristic
1317C24—731no—
1318C24—731no—
1319C2×Q8—21no—
1320C2×Q8—5842no—
1321C2×Q8—731no—
1322C2×Q8—731no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×Q8—1461no—
1326C2×Q8—1461no—
1327C2×Q8—1462no—
1328C2×Q8—1462no—
1329C2×Q8—1462no—
1330C2×Q8—1462no—
1331C2×Q8—1461no—
1332C2×Q8C23×D7311yescharacteristic
1333C2×Q8C23×D7311yescharacteristic
1334C2×D4—731no—
1335C2×D4—731no—
1336C2×D4—731no—
1337C2×D4—1464no—
1338C2×D4D4×D7311yescharacteristic
1339C22×C4—21no—
1340C22×C4—21no—
1341C22×C4—21no—
1342C22×C4—2924no—
1343C22×C4—5842no—
1344C22×C4—5842no—
1345C22×C4—731no—
1346C22×C4—731no—
1347C22×C4—731no—
1348C22×C4—731no—
1349C22×C4—731no—
1350C22×C4—731no—
1351C22×C4—731no—
1352C22×C4—731no—
1353C22×C4—731no—
1354C22×C4—731no—
1355C22×C4—731no—
1356C22×C4—1461no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1462no—
1371C22×C4—1462no—
1372C22×C4—1462no—
1373C22×C4—1462no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4C23×D7311yescharacteristic
1378C22×C4C23×D7311yescharacteristic
1379Q16—22no—
1380Q16—1462no—
1381Q16—1462no—
1382Q16—1462no—
1383M16—22no—
1384M16—1462no—
1385M16—1462no—
1386M16—1462no—
1387C2×C8—22no—
1388C2×C8—731no—
1389C2×C8—734no—
1390C2×C8—731no—
1391C2×C8—731no—
1392C2×C8—731no—
1393C2×C8—1462no—
1394C2×C8—1462no—
1395C2×C8—1462no—
1396C2×C8—1462no—
1397C2×C8—1462no—
1398C2×C8—1462no—
1399C2×C8C23×D7311yescharacteristic
1400C2×C8C23×D7311yescharacteristic
1401C2×C8C23×D7311yescharacteristic
1402C2×C8C23×D7311yescharacteristic
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—731no—
1416C4⋊C4—731no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4—1461no—
1457C4⋊C4—1461no—
1458C4⋊C4—1461no—
1459C4⋊C4—1461no—
1460C4⋊C4—1461no—
1461C4⋊C4—1461no—
1462C4⋊C4—1461no—
1463C4⋊C4—1461no—
1464C4⋊C4—1461no—
1465C4⋊C4—1461no—
1466C4⋊C4D4×D7311yescharacteristic
1467C4⋊C4C23×D7311yescharacteristic
1468C4⋊C4C23×D7311yescharacteristic
1469C4⋊C4C23×D7311yescharacteristic
1470C4⋊C4C23×D7311yescharacteristic
1471C4⋊C4C23×D7311yescharacteristic
1472C4⋊C4C23×D7311yescharacteristic
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—731no—
1479C22⋊C4—731no—
1480C22⋊C4—731no—
1481C22⋊C4—731no—
1482C22⋊C4—731no—
1483C22⋊C4—731no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4D4×D7311yescharacteristic
1500C22⋊C4D4×D7311yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—21no—
1504C42—731no—
1505C42—731no—
1506C42—731no—
1507C42—1461no—
1508C42—1461no—
1509C42—1461no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42—1461no—
1515C42—1461no—
1516C42C23×D7311yescharacteristic
1517C23—731no—
1518C23—734no—
1519C23—731no—
1520C23—731no—
1521C23—1462no—
1522C23—1462no—
1523C23—1462no—
1524C23—1462no—
1525C23—1462no—
1526C23C2×D4×D7311yescharacteristic
1527C23C2×D4×D7311yescharacteristic
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—21no—
1532Q8—81no—
1533Q8—2922no—
1534Q8—2922no—
1535Q8—5841no—
1536Q8—5841no—
1537Q8—5841no—
1538Q8—1461no—
1539Q8—1461no—
1540Q8—1461no—
1541Q8—1461no—
1542D4—22no—
1543D4—1462no—
1544D4—1462no—
1545D4—1462no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—42no—
1559C2×C4—81no—
1560C2×C4—81no—
1561C2×C4—2922no—
1562C2×C4—2922no—
1563C2×C4—2922no—
1564C2×C4—2922no—
1565C2×C4—2922no—
1566C2×C4—2922no—
1567C2×C4—2922no—
1568C2×C4—2922no—
1569C2×C4—2922no—
1570C2×C4—2922no—
1571C2×C4—2922no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—732no—
1580C2×C4—732no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—731no—
1585C2×C4—1462no—
1586C2×C4—1462no—
1587C2×C4—1462no—
1588C2×C4—1462no—
1589C2×C4—1462no—
1590C2×C4—1462no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4—1461no—
1595C2×C4—1461no—
1596C2×C4—1461no—
1597C2×C4—1461no—
1598C2×C4—1461no—
1599C2×C4—1462no—
1600C2×C4—1462no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4C2×D4×D7311yescharacteristic
1606C2×C4C2×D4×D7311yescharacteristic
1607C2×C4C2×D4×D7311yescharacteristic
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C24×D7311yescharacteristic
1610C8—21no—
1611C8—21no—
1612C8—21no—
1613C8—732no—
1614C8—1461no—
1615C8—1461no—
1616C8—1461no—
1617C8#41×D7312yes—
1618C22—21no—
1619C22—21no—
1620C22—21no—
1621C22—21no—
1622C22—21no—
1623C22—2924no—
1624C22—732no—
1625C22—732no—
1626C22—732no—
1627C22—732no—
1628C22—1468no—
1629C22—1461no—
1630C22—1461no—
1631C22—1461no—
1632C22—1461no—
1633C22—1461no—
1634C22#137×D7312yes—
1635C22C22×D4×D7311yescharacteristic
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—2921no—
1649C4—2921no—
1650C4—2921no—
1651C4—2921no—
1652C4—2921no—
1653C4—2921no—
1654C4—2921no—
1655C4—2921no—
1656C4—732no—
1657C4—1461no—
1658C4—1461no—
1659C4—1461no—
1660C4—1461no—
1661C4C2×#41×D7311yescharacteristic
1662C42−1+4×D7311yescharacteristic
1663C2—22no—
1664C2—41no—
1665C2—2921no—
1666C2—734no—
1667C2—1462no—
1668C2#547×D7311yescharacteristic
1669C2C2×#137×D7311yescharacteristic
1670C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3344C2
socleC22×C73C23×D4
prime radicalC2×D4×D73D4
hypercenter#3344D73
hypocenterC73C2×#3344
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
3. #22622393C2semidirect
4. #22622392C2semidirect
5. #22622391C2semidirect
6. #22622390C2semidirect
7. #22622389C2semidirect
8. #22622388C2semidirect
9. #22622387C2semidirect
10. #22622386C2semidirect
11. #22622385C2semidirect
12. #22622384C2semidirect
13. #22622383C2semidirect
14. #22622382C2semidirect
15. #22622381C2semidirect
16. #22622380C2semidirect
17. #22622379C2semidirect
18. #501×D73C2semidirect
19. #484×D73C2semidirect
20. #485×D73C2semidirect
21. #483×D73C2semidirect
22. #483×D73C2semidirect
23. #479×D73C2semidirect
24. #475×D73C2semidirect
25. #470×D73C2semidirect
26. #467×D73C2semidirect
27. #441×D73C2semidirect
29. #428×D73C2semidirect
30. C2×#106×D73C2semidirect
31. C73×#3344C2semidirect
78. #17988997C22semidirect
79. #17988996C22semidirect
80. #17988995C22semidirect
81. #17988995C22semidirect
82. #17988994C22semidirect
83. #17988994C22semidirect
84. #17988993C22semidirect
85. #17988931C22semidirect
86. #17988930C22semidirect
87. #17988929C22semidirect
88. #17988928C22semidirect
89. #17988927C22semidirect
90. #17988926C22semidirect
91. #17988925C22semidirect
92. #17988924C22semidirect
93. #17988924C22semidirect
94. #17988923C22semidirect
95. #17988922C22semidirect
96. #17988921C22semidirect
97. #17988921C22semidirect
98. #17988920C22semidirect
99. #17988919C22semidirect
100. #17988919C22semidirect
101. #17988919C22semidirect
102. #17988919C22semidirect
103. #17988918C22semidirect
104. #17988918C22semidirect
105. #17988917C22semidirect
106. #17988917C22semidirect
107. #17988916C22semidirect
108. #17988916C22semidirect
109. #17988916C22semidirect
110. #17988916C22semidirect
111. #17988915C22semidirect
112. #17988915C22semidirect
113. #17988897C22semidirect
114. #17988896C22semidirect
115. #17988895C22semidirect
116. #17988894C22semidirect
117. #17988893C22semidirect
118. #17988892C22semidirect
119. #17988891C22semidirect
120. #17988873C22semidirect
121. #17988872C22semidirect
122. #17988871C22semidirect
123. #17988871C22semidirect
124. #17988870C22semidirect
125. #17988870C22semidirect
126. #17988869C22semidirect
127. #17988846C22semidirect
128. #17988845C22semidirect
129. #17988844C22semidirect
130. #17988844C22semidirect
131. #17988843C22semidirect
132. #17988843C22semidirect
133. #17988842C22semidirect
134. #17988829C22semidirect
135. #17988828C22semidirect
136. #17988827C22semidirect
137. #17988827C22semidirect
138. #17988826C22semidirect
139. #17988826C22semidirect
140. #17988825C22semidirect
141. #17988695C22semidirect
142. #17988694C22semidirect
143. #17988693C22semidirect
144. #17988692C22semidirect
145. #17988692C22semidirect
146. #17988691C22semidirect
147. #17988691C22semidirect
155. #17988630C22semidirect
156. #17988629C22semidirect
157. #17988628C22semidirect
158. #17988628C22semidirect
159. #17988627C22semidirect
160. #17988626C22semidirect
161. #17988626C22semidirect
165. C2×#14556523C22semidirect
166. C2×#14556522C22semidirect
167. C2×#14556522C22semidirect
174. #106×D73C22semidirect
175. #106×D73C22semidirect
176. #106×D73C22semidirect
177. #106×D73C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
192. #484×C73C22semidirect
193. #483×C73C22semidirect
194. #483×C73C22semidirect
195. #479×C73C22semidirect
196. #475×C73C22semidirect
197. #470×C73C22semidirect
198. #467×C73C22semidirect
199. #441×C73C22semidirect
201. #428×C73C22semidirect
202. C2×#106×C73C22semidirect
835. D73#3344direct (N × H)
853. #3344D73direct (N × H)
867. C73C2×#3344semidirect
923. #501C2×D73semidirect
931. #485C2×D73semidirect
939. #484C2×D73semidirect
954. #483C2×D73semidirect
955. #483C2×D73semidirect
963. #479C2×D73semidirect
971. #475C2×D73semidirect
979. #470C2×D73semidirect
987. #467C2×D73semidirect
995. #441C2×D73semidirect
1011. #428C2×D73semidirect
1028. C2×#106C2×D73semidirect

Maximal subgroups

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

subgroupindex
#554×D732
#552×D732
#226223932
#226223922
#226223912
#226223902
#226223892
#226223882
#226223872
#226223862
#226223852
#226223842
#226223832
#226223822
#226223812
#226223802
#226223792
#501×D732
#484×D732
#485×D732
#483×D732
#479×D732
#475×D732
#470×D732
#467×D732
#441×D732
#435×D732
#428×D732
C2×#106×D732
C73×#33442
C2×#334473