Finite Group Databasebeta

← #33967922

Subgroups — #33967922

Order 18688.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623548C211yesmaximal, characteristic, complemented
2D4×#11924028C211yesmaximal, characteristic, complemented
3#22622952C211yesmaximal, characteristic, complemented
4#22622853C211yesmaximal, characteristic, complemented
5#22622661C211yesmaximal, characteristic, complemented
6#22622650C211yesmaximal, characteristic, complemented
7#22622376C211yesmaximal, characteristic, complemented
8#22622367C211yesmaximal, characteristic, complemented
9#22622276C211yesmaximal, characteristic, complemented
10#22621957C211yesmaximal, characteristic, complemented
11#22621948C211yesmaximal, characteristic, complemented
12#22621927C211yesmaximal, characteristic, complemented
13#22621918C211yesmaximal, characteristic, complemented
14#22621792C211yesmaximal, characteristic, complemented
15#22621740C211yesmaximal, characteristic, complemented
16SD16×C22⋊D73C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22621426C211yesmaximal, characteristic, complemented
19#22620646C211yesmaximal, characteristic, complemented
20#22620629C211yesmaximal, characteristic, complemented
21#22620625C211yesmaximal, characteristic, complemented
22#22620080C211yesmaximal, characteristic, complemented
23#22620073C211yesmaximal, characteristic, complemented
24#22620069C211yesmaximal, characteristic, complemented
25#22620053C211yesmaximal, characteristic, complemented
26#22620051C211yesmaximal, characteristic, complemented
27#22620028C211yesmaximal, characteristic, complemented
28#22618942C211yesmaximal, characteristic, complemented
29#22618736C211yesmaximal, characteristic, complemented
30#440×D73C211yesmaximal, characteristic, complemented
31C2×#440×C73C211yesmaximal, characteristic, complemented
32C22×#11924028—21no—
33C2×#14556618C2211yescharacteristic
34C2×SD16×D73C2211yescharacteristic
35#17989313C2211yescharacteristic, complemented
36#17989309—21no—
37#17989309C2211yescharacteristic, complemented
38#17989278—21no—
39#17989278C2211yescharacteristic, complemented
40#17989272—21no—
41#17989272C2211yescharacteristic, complemented
42#17989258C2211yescharacteristic
43D4×Dic146C2211yescharacteristic
44Q8×C22⋊D73C2211yescharacteristic, complemented
45#17989249C2211yescharacteristic, complemented
46#17989248C2211yescharacteristic, complemented
47#17989246—21no—
48#17989242C2211yescharacteristic
49#17989238—21no—
50#17989238C2211yescharacteristic
51#17989238C2211yescharacteristic
52#17989238C2211yescharacteristic, complemented
53#17989233—21no—
54#17989227—21no—
55#17989227—21no—
56D4×D292C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58D4×C22⋊D73C2211yescharacteristic
59#17989141—21no—
60#17989141C2211yescharacteristic, complemented
61#17989137C2211yescharacteristic
62#17989134C2211yescharacteristic
63#17989134C2211yescharacteristic
64#17989124—21no—
65#17989124C2211yescharacteristic, complemented
66#17989121—21no—
67#17989121C2211yescharacteristic, complemented
68#17989098—21no—
69#17989096—21no—
70#17989096—21no—
71C4×#11924029C2211yescharacteristic, complemented
72C4×#11924028—21no—
73C4×#11924028C2211yescharacteristic
74C4×Q8×D73C2211yescharacteristic, complemented
75C4×D4×D73C2211yescharacteristic
76C4×D4×D73C2211yescharacteristic
77#17988996C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988991C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988973C2211yescharacteristic, complemented
82#17988958C2211yescharacteristic, complemented
83#17988952C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988932C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988917C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988910C2211yescharacteristic, complemented
95#17988902C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988900C2211yescharacteristic, complemented
98#17988900C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988890C2211yescharacteristic, complemented
102#17988889C2211yescharacteristic
103#17988887C2211yescharacteristic
104#17988887C2211yescharacteristic, complemented
105#17988882C2211yescharacteristic, complemented
106#17988882C2211yescharacteristic, complemented
107#17988881C2211yescharacteristic, complemented
108#17988880C2211yescharacteristic, complemented
109#17988870C2211yescharacteristic, complemented
110#17988866C2211yescharacteristic, complemented
111#17988866C2211yescharacteristic, complemented
112#17988865C2211yescharacteristic
113#17988836C2211yescharacteristic, complemented
114#17988834C2211yescharacteristic, complemented
115#17988832C2211yescharacteristic, complemented
116#17988830C2211yescharacteristic, complemented
117#17988824C2211yescharacteristic, complemented
118#17988823C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic, complemented
122#17988816C2211yescharacteristic, complemented
123#17988816C2211yescharacteristic, complemented
124#17988813C2211yescharacteristic, complemented
125#17988805C2211yescharacteristic, complemented
126#17988804C2211yescharacteristic
127#17988802C2211yescharacteristic
128#17988802C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic, complemented
130#17988790C2211yescharacteristic
131#17988787C2211yescharacteristic, complemented
132#17988787C2211yescharacteristic, complemented
133#17988786C2211yescharacteristic, complemented
134#17988785C2211yescharacteristic, complemented
135#17988785C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988739C2211yescharacteristic
138#17988738C2211yescharacteristic
139#17988736C2211yescharacteristic
140#17988736C2211yescharacteristic
141#17988735C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988727C2211yescharacteristic, complemented
144#17988726C2211yescharacteristic, complemented
145#17988726C2211yescharacteristic, complemented
146#17988724C2211yescharacteristic, complemented
147#17988722C2211yescharacteristic
148#17988721C2211yescharacteristic
149#17988715C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988700C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic
154#17988697C2211yescharacteristic, complemented
155#17988690C2211yescharacteristic, complemented
156#17988689C2211yescharacteristic, complemented
157#17988689C2211yescharacteristic, complemented
158#17988688C2211yescharacteristic
159#17988687C2211yescharacteristic
160#17988687C2211yescharacteristic, complemented
161#17988686C2211yescharacteristic, complemented
162#17988685C2211yescharacteristic, complemented
163#17988685C2211yescharacteristic, complemented
164#17988685C2211yescharacteristic, complemented
165#17988685C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic
167SD16×Dic73C2211yescharacteristic
168#17988672C2211yescharacteristic, complemented
169#17988669C2211yescharacteristic, complemented
170#17988667C2211yescharacteristic
171#17988660C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175C8×C22⋊D73C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988644C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988628C2211yescharacteristic, complemented
181#107×D73C2211yescharacteristic, complemented
182#17988590C2211yescharacteristic
183#17988587C2211yescharacteristic, complemented
184#103×D73C2211yescharacteristic, complemented
185#102×D73C2211yescharacteristic
186#17988539C2211yescharacteristic, complemented
187#97×D73C2211yescharacteristic, complemented
188C22×SD16×C73C2211yescharacteristic
189C2×C4×Q8×C73C2211yescharacteristic, complemented
190C2×C4×D4×C73C2211yescharacteristic
191#440×C73C2211yescharacteristic
192#440×C73C2211yescharacteristic
193#440×C73C2211yescharacteristic
194#440×C73C2211yescharacteristic
195#440×C73C2211yescharacteristic, complemented
196#440×C73C2211yescharacteristic, complemented
197#440×C73C2211yescharacteristic, complemented
198#440×C73C2211yescharacteristic, complemented
199C2×#107×C73C2211yescharacteristic, complemented
200C2×#103×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic
202C2×#97×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028—21no—
210C2×#11924028—21no—
211C2×#11924028—21no—
212C2×#11924028—48no—
213C2×#11924028D411yescharacteristic
214C22×Dic146—21no—
215C2×Q8×D73C2311yescharacteristic
216C22×D292—21no—
217C22×C22⋊D73—21no—
218C22×C22⋊D73—21no—
219C2×D4×D73C2311yescharacteristic
220C2×D4×D73C2311yescharacteristic
221C22×C4×D73—21no—
222C22×C4×D73—21no—
223#14556618—24no—
224C2×#11924017C2311yescharacteristic
225C2×#11924017C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924015C2311yescharacteristic
229C2×#11924015C2311yescharacteristic
230C2×#11924015C2311yescharacteristic
231C2×#11924015C2311yescharacteristic
232SD16×D73—24no—
233C2×D584C2311yescharacteristic
234C2×D584C2311yescharacteristic
235C2×#11924013C2311yescharacteristic
236C2×#11924013C2311yescharacteristic
237C2×#11924011C2311yescharacteristic
238C2×#11924011C2311yescharacteristic
239C2×C8×D73C2311yescharacteristic
240C2×C8×D73C2311yescharacteristic
241#14556591C2311yescharacteristic
242#14556590—21no—
243#14556590C2311yescharacteristic
244#14556590C2311yescharacteristic
245#14556590C2311yescharacteristic
246#14556589—21no—
247#14556589C2311yescharacteristic
248#14556588C2311yescharacteristic
249#14556587C2311yescharacteristic
250#14556587C2311yescharacteristic
251#14556586—21no—
252#14556586—21no—
253#14556586—21no—
254#14556585—21no—
255#14556585—21no—
256#14556585—21no—
257#14556583—21no—
258#14556583C2311yescharacteristic
259#14556582—21no—
260#14556582C2311yescharacteristic
261#14556581—21no—
262#14556581—21no—
263#14556581—21no—
264#14556580—21no—
265#14556580C2311yescharacteristic
266#14556579—21no—
267#14556579—21no—
268#14556579C2311yescharacteristic
269#14556577—21no—
270#14556577—21no—
271#14556576—21no—
272#14556576—21no—
273#14556576—21no—
274#14556576—21no—
275#14556576—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574—21no—
280#14556574—21no—
281#14556573—21no—
282#14556573—21no—
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570—21no—
288#14556570C2311yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556568—21no—
295#14556568—21no—
296#14556567—21no—
297#14556567—21no—
298#14556567C2311yescharacteristic
299#14556567C2311yescharacteristic
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556565—21no—
305#14556565—21no—
306#14556565—21no—
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556563—21no—
316#14556563—21no—
317#14556562C2311yescharacteristic
318#14556562C2311yescharacteristic
319#14556561—21no—
320#14556561—21no—
321#14556560—21no—
322#14556560—21no—
323#14556559—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326Q8×Dic73C2311yescharacteristic
327C4×Dic146—21no—
328C4×Dic146—21no—
329C4×Dic146—21no—
330C4×Dic146D411yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556C2311yescharacteristic
335C4×D292—21no—
336C4×D292—21no—
337C4×D292—21no—
338C4×D292—21no—
339C4×D292D411yescharacteristic
340C4×D292C2311yescharacteristic
341C4×D292C2311yescharacteristic
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344D4×Dic73C2311yescharacteristic
345D4×Dic73C2311yescharacteristic
346#14556553—21no—
347#14556553C2311yescharacteristic
348#14556553C2311yescharacteristic
349#14556553C2311yescharacteristic
350C4×C22⋊D73—21no—
351C4×C22⋊D73—21no—
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73D411yescharacteristic
358C4×C22⋊D73D411yescharacteristic
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556550—21no—
364#14556550D411yescharacteristic
365#14556549—21no—
366#14556549C2311yescharacteristic
367#14556548—21no—
368#14556548—21no—
369#14556548—21no—
370#14556548—21no—
371#14556548—21no—
372#14556548D411yescharacteristic
373#14556548D411yescharacteristic
374C4⋊C4×D73—21no—
375C4⋊C4×D73C2311yescharacteristic
376C4⋊C4×D73C2311yescharacteristic
377C4⋊C4×D73C2311yescharacteristic
378C22⋊C4×D73—21no—
379C22⋊C4×D73—21no—
380C42×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383C42×D73C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556525C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556524C2311yescharacteristic
390#14556524C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556523C2311yescharacteristic
393#14556523C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397C4⋊#10596831C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556516C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556515C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556514C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556503C2311yescharacteristic
432#14556502C2311yescharacteristic
433#14556502C2311yescharacteristic
434#14556501C2311yescharacteristic
435#14556501C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C8×Dic73C2311yescharacteristic
438C22×Q8×C73C2311yescharacteristic
439C22×D4×C73C2311yescharacteristic
440C23×C4×C73—21no—
441C2×SD16×C73—24no—
442C2×SD16×C73C2311yescharacteristic
443C2×SD16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C22×C8×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4×Q8×C73—21no—
449C4×Q8×C73—21no—
450C4×Q8×C73C2311yescharacteristic
451C4×Q8×C73C2311yescharacteristic
452C4×Q8×C73C2311yescharacteristic
453C4×Q8×C73C2311yescharacteristic
454C4×D4×C73—21no—
455C4×D4×C73—21no—
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458C4×D4×C73C2311yescharacteristic
459C4×D4×C73C2311yescharacteristic
460C2×C4⋊C4×C73—21no—
461C2×C4⋊C4×C73C2311yescharacteristic
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C42×C73—21no—
465C2×C42×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#107×C73C2311yescharacteristic
468#107×C73C2311yescharacteristic
469#107×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479#97×C73C2311yescharacteristic
480#97×C73C2311yescharacteristic
481#97×C73C2311yescharacteristic
482C23×D73—21no—
483C23×D73—21no—
484#11924029—22no—
485#11924029—41no—
486#11924028—24no—
487#11924028—44no—
488#11924028—44no—
489#11924028—44no—
490#11924028—44no—
491#11924028—44no—
492#11924028—44no—
493#11924028—44no—
494#11924028—44no—
495C2×Dic146—21no—
496C2×Dic146—21no—
497C2×Dic146—21no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—44no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503Q8×D73—22no—
504Q8×D73—41no—
505C2×D292—21no—
506C2×D292—21no—
507C2×D292—21no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—44no—
512C2×D292C2×D411yescharacteristic
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—44no—
528C2×C22⋊D73—44no—
529C2×C22⋊D73C2×D411yescharacteristic
530C2×C22⋊D73C2×D411yescharacteristic
531D4×D73—22no—
532D4×D73—22no—
533D4×D73—41no—
534D4×D73—41no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—21no—
540C2×C4×D73—21no—
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—44no—
549C2×C4×D73—44no—
550C2×C4×D73C2×D411yescharacteristic
551C2×C4×D73C2×D411yescharacteristic
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555C2×C4×D73C2411yescharacteristic
556#11924017—22no—
557#11924017—41no—
558#11924016—22no—
559#11924016—41no—
560#11924015—22no—
561#11924015—22no—
562#11924015—41no—
563#11924015—41no—
564D584—22no—
565D584—41no—
566#11924013—22no—
567#11924013—41no—
568#11924011—22no—
569#11924011—41no—
570C2×#10596831C2411yescharacteristic
571C2×#10596831C2411yescharacteristic
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C8×D73—22no—
575C8×D73—41no—
576C4⋊Dic73—21no—
577C4⋊Dic73—21no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73C2×D411yescharacteristic
582C4⋊Dic73C2×D411yescharacteristic
583C4⋊Dic73C2411yescharacteristic
584C4⋊Dic73C2411yescharacteristic
585C4⋊Dic73C2411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007C2×D411yescharacteristic
604#11924007C2×D411yescharacteristic
605#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73C2×D411yescharacteristic
613C22⋊Dic73C2×D411yescharacteristic
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005—21no—
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636#11924005C2×D411yescharacteristic
637#11924005C2×D411yescharacteristic
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73C2×D411yescharacteristic
644C4×Dic73C2×D411yescharacteristic
645C4×Dic73C2×D411yescharacteristic
646C4×Dic73C2×D411yescharacteristic
647C4×Dic73C2411yescharacteristic
648C4×Dic73C2411yescharacteristic
649C24×C73—21no—
650C2×Q8×C73—21no—
651C2×Q8×C73—22no—
652C2×Q8×C73—41no—
653C2×Q8×C73C2411yescharacteristic
654C2×Q8×C73C2411yescharacteristic
655C2×D4×C73—22no—
656C2×D4×C73—21no—
657C2×D4×C73—41no—
658C2×D4×C73C2411yescharacteristic
659C2×D4×C73C2411yescharacteristic
660C22×C4×C73—21no—
661C22×C4×C73—21no—
662C22×C4×C73—21no—
663C22×C4×C73—21no—
664C22×C4×C73—21no—
665C22×C4×C73—21no—
666C22×C4×C73—21no—
667C22×C4×C73—44no—
668C22×C4×C73C2×D411yescharacteristic
669C22×C4×C73C2×D411yescharacteristic
670C22×C4×C73C2411yescharacteristic
671SD16×C73—22no—
672SD16×C73—22no—
673SD16×C73—22no—
674SD16×C73#4114yescomplemented
675C2×C8×C73—22no—
676C2×C8×C73—41no—
677C2×C8×C73C2411yescharacteristic
678C2×C8×C73C2411yescharacteristic
679C2×C8×C73C2411yescharacteristic
680C2×C8×C73C2411yescharacteristic
681C4⋊C4×C73—21no—
682C4⋊C4×C73—21no—
683C4⋊C4×C73—21no—
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73C2411yescharacteristic
688C4⋊C4×C73C2411yescharacteristic
689C4⋊C4×C73C2411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C22⋊C4×C73—21no—
692C22⋊C4×C73—21no—
693C22⋊C4×C73—21no—
694C22⋊C4×C73—21no—
695C42×C73—21no—
696C42×C73—21no—
697C42×C73—21no—
698C42×C73—21no—
699C42×C73C2×D411yescharacteristic
700C42×C73C2×D411yescharacteristic
701C42×C73C2411yescharacteristic
702C42×C73C2411yescharacteristic
703C23×C73—21no—
704C23×C73—21no—
705C23×C73—42no—
706C23×C73—42no—
707C23×C73—81no—
708C23×C73C22×D411yescharacteristic
709C22×D73—21no—
710C22×D73—21no—
711C22×D73—21no—
712C22×D73—42no—
713C22×D73—42no—
714C22×D73—42no—
715C22×D73—42no—
716C22×D73—81no—
717C22×D73—81no—
718C22×D73C22×D411yescharacteristic
719C22×D73C22×D411yescharacteristic
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723Q8×C73—42no—
724Q8×C73C2×#4112yescomplemented
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—42no—
729D4×C73C2×#4112yes—
730C2×C4×C73—22no—
731C2×C4×C73—21no—
732C2×C4×C73—21no—
733C2×C4×C73—21no—
734C2×C4×C73—21no—
735C2×C4×C73—21no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—41no—
740C2×C4×C73—42no—
741C2×C4×C73—42no—
742C2×C4×C73—42no—
743C2×C4×C73—42no—
744C2×C4×C73—42no—
745C2×C4×C73—42no—
746C2×C4×C73—42no—
747C2×C4×C73C22×D411yescharacteristic
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—42no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73AGL(1,ℤ/8)14yescomplemented
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—21no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73C22×D411yescharacteristic
774C2×Dic73C22×D411yescharacteristic
775C2×Dic73C22×D411yescharacteristic
776C2×Dic73C22×D411yescharacteristic
777C2×Dic73C22×D411yescharacteristic
778C2×Dic73C22×D411yescharacteristic
779D292—22no—
780D292—21no—
781D292—21no—
782D292—21no—
783D292—21no—
784D292—21no—
785D292—21no—
786D292—42no—
787D292—42no—
788D292—42no—
789D292—42no—
790D292—42no—
791D292—81no—
792C4×D73—22no—
793C4×D73—21no—
794C4×D73—21no—
795C4×D73—21no—
796C4×D73—21no—
797C4×D73—22no—
798C4×D73—41no—
799C4×D73—41no—
800C4×D73—42no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—42no—
809C4×D73—42no—
810C4×D73—42no—
811Dic146—22no—
812Dic146—21no—
813Dic146—21no—
814Dic146—42no—
815Dic146—42no—
816Dic146—42no—
817Dic146—42no—
818Dic146—42no—
819C8×C73—21no—
820C8×C73—21no—
821C8×C73—21no—
822C8×C73C2×#4112yescomplemented
823#10596831—21no—
824#10596831—21no—
825#10596831—21no—
826#10596831—21no—
827C22×C73—21no—
828C22×C73—21no—
829C22×C73—22no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—84no—
836C22×C73C2×AGL(1,ℤ/8)12yes—
837C22×C73C23×D411yescharacteristic
838C2×D73—21no—
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C2×D73—21no—
843C2×D73—41no—
844C2×D73—41no—
845C2×D73—41no—
846C2×D73—41no—
847C2×D73—41no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—84no—
853C2×D73—84no—
854C2×D73C2×AGL(1,ℤ/8)12yes—
855C4×C73—21no—
856C4×C73—21no—
857C4×C73—22no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73C22×#4111yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—21no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—41no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73C2×AGL(1,ℤ/8)12yes—
879#61452—731nomaximal, Sylow
880C2×C73—22no—
881C2×C73—42no—
882C2×C73—81no—
883C2×C73D4×#4111yescharacteristic
884C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
885C2×C73#358611yescharacteristic
886D73—22no—
887D73—41no—
888D73—81no—
889D73—81no—
890D73—81no—
891#3482—731no—
892D4×#41—731no—
893#3397—731no—
894#3386—731no—
895#3368—731no—
896#3367—731no—
897#3343—731no—
898#3343—731no—
899#3334—731no—
900#3310—731no—
901#3310—731no—
902#3308—731no—
903#3308—731no—
904#3298—731no—
905#3294—731no—
906D4×SD16—731no—
907#3265—731no—
908#3265—731no—
909#3182—731no—
910#3180—731no—
911#3180—731no—
912#3115—731no—
913#3114—731no—
914#3114—731no—
915#3112—731no—
916#3112—731no—
917#3110—731no—
918#2970—731no—
919C4×AGL(1,ℤ/8)—731no—
920C2×#440—731no—
921C2×#440D7311yescharacteristic, complemented
922C73#6145211yescharacteristic, complemented, Sylow
923C22×#41—1461no—
924C2×AGL(1,ℤ/8)—731no—
925C22×SD16—731no—
926C22×SD16C2×D7311yescharacteristic
927#557—731no—
928#556—731no—
929#556—1461no—
930#552—731no—
931#552—731no—
932#552—1461no—
933#552—1461no—
934#550—731no—
935D4×Q8—731no—
936D4×Q8—731no—
937#548—731no—
938#548—731no—
939#548—1461no—
940#547—731no—
941#547—731no—
942#547—731no—
943#547—731no—
944#547—1461no—
945#546—1461no—
946#546—1461no—
947#546—1461no—
948D42—731no—
949D42—731no—
950D42—731no—
951#533—731no—
952#533—1461no—
953#532—731no—
954#532—731no—
955#532—731no—
956#529—731no—
957#529—731no—
958#529—1461no—
959#529—1461no—
960#525—1461no—
961#525—1461no—
962#525—1461no—
963C4×#41—731no—
964C4×#41—731no—
965C4×#41—1461no—
966C2×C4×Q8—731no—
967C2×C4×Q8C2×D7311yescharacteristic, complemented
968C2×C4×D4—731no—
969C2×C4×D4—731no—
970C2×C4×D4C2×D7311yescharacteristic
971#501—731no—
972#501—731no—
973#500—731no—
974#496—731no—
975#496—731no—
976#492—731no—
977#490—731no—
978#490—731no—
979#489—731no—
980#489—731no—
981#487—731no—
982#486—731no—
983#484—731no—
984#484—731no—
985#483—731no—
986#483—731no—
987#482—731no—
988#482—731no—
989#480—731no—
990#480—731no—
991#480—731no—
992#480—731no—
993#480—731no—
994#480—731no—
995#478—731no—
996#478—731no—
997#478—731no—
998#478—731no—
999#477—731no—
1000#477—731no—
1001#477—731no—
1002#477—731no—
1003#475—731no—
1004#474—731no—
1005#474—731no—
1006#474—731no—
1007#468—731no—
1008#468—731no—
1009#468—731no—
1010#468—731no—
1011#466—731no—
1012#466—731no—
1013#466—731no—
1014#466—731no—
1015#465—731no—
1016#465—731no—
1017#465—731no—
1018#465—731no—
1019#463—731no—
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#461—731no—
1024#461—731no—
1025#460—731no—
1026#460—731no—
1027#460—731no—
1028#460—731no—
1029#460—731no—
1030#459—731no—
1031#450—731no—
1032#450—731no—
1033#450—731no—
1034#450—731no—
1035#449—731no—
1036#449—731no—
1037#448—731no—
1038#448—731no—
1039#448—731no—
1040#448—731no—
1041#447—731no—
1042#447—731no—
1043#446—731no—
1044#446—731no—
1045#442—731no—
1046#442—731no—
1047#442—731no—
1048#442—731no—
1049#440—731no—
1050#440—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059#440—731no—
1060#440—731no—
1061#440C2×D7311yescharacteristic
1062#440C2×D7311yescharacteristic
1063#440C2×D7311yescharacteristic
1064#440C2×D7311yescharacteristic
1065#440C2×D7311yescharacteristic, complemented
1066#440C2×D7311yescharacteristic, complemented
1067#440C2×D7311yescharacteristic, complemented
1068#440C2×D7311yescharacteristic, complemented
1069C4×SD16—731no—
1070C4×SD16—731no—
1071C4×D8—731no—
1072C4×D8—731no—
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076#435—731no—
1077C8×D4—731no—
1078C8×D4—731no—
1079#432—731no—
1080#432—731no—
1081#432—731no—
1082#428—731no—
1083C2×#107—731no—
1084C2×#107C2×D7311yescharacteristic, complemented
1085#418—731no—
1086#417—731no—
1087C2×#103—731no—
1088C2×#103C2×D7311yescharacteristic, complemented
1089C2×#102—731no—
1090C2×#102C2×D7311yescharacteristic
1091C4×M16—731no—
1092C2×#97—731no—
1093C2×#97C2×D7311yescharacteristic, complemented
1094C2×#41—2928no—
1095C2×#41—731no—
1096C2×#41—731no—
1097C2×#41—1461no—
1098C2×#41—1461no—
1099C2×#41—1461no—
1100C2×#41—1461no—
1101C2×#41—1461no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C22×Q8—731no—
1106C22×Q8—1461no—
1107C22×Q8C22×D7311yescharacteristic
1108C22×D4—731no—
1109C22×D4—731no—
1110C22×D4—1461no—
1111C22×D4—1461no—
1112C22×D4—1461no—
1113C22×D4C22×D7311yescharacteristic
1114C23×C4—21no—
1115C23×C4—1461no—
1116C23×C4—1461no—
1117AGL(1,ℤ/8)—1464no—
1118C2×SD16—24no—
1119C2×SD16—731no—
1120C2×SD16—731no—
1121C2×SD16—731no—
1122C2×SD16—731no—
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—1464no—
1128C2×SD16C22×D7311yescharacteristic
1129C2×SD16C22×D7311yescharacteristic
1130C2×SD16C22×D7311yescharacteristic
1131C2×SD16C22×D7311yescharacteristic
1132C2×D8—731no—
1133C2×D8—731no—
1134C2×D8—731no—
1135C2×D8—731no—
1136C2×M16—731no—
1137C2×M16—731no—
1138C22×C8—731no—
1139C22×C8—731no—
1140C22×C8C22×D7311yescharacteristic
1141C22×C8C22×D7311yescharacteristic
1142C4⋊Q8—731no—
1143C4⋊Q8—731no—
1144C4⋊Q8—731no—
1145C4⋊Q8—731no—
1146C4⋊Q8—731no—
1147C4⋊Q8—1461no—
1148C4⋊Q8—1461no—
1149#127—731no—
1150#127—731no—
1151#127—731no—
1152#126—1461no—
1153#126—1461no—
1154#126—1461no—
1155#126—1461no—
1156#126—1461no—
1157#126—1461no—
1158#125—731no—
1159#125—731no—
1160#125—1461no—
1161#125—1461no—
1162#125—1461no—
1163#125—1461no—
1164#125—1461no—
1165#124—731no—
1166#124—731no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124—1461no—
1172#123—1461no—
1173#123—1461no—
1174#123—1461no—
1175#123—1461no—
1176#123—1461no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184C22⋊Q8—731no—
1185C22⋊Q8—731no—
1186C22⋊Q8—731no—
1187C22⋊Q8—731no—
1188C22⋊Q8—1461no—
1189C22⋊Q8—1461no—
1190C22⋊Q8—1461no—
1191C22⋊Q8—1461no—
1192C22⋊Q8—1461no—
1193C22⋊Q8—1461no—
1194C22⋊Q8—1461no—
1195C22⋊Q8—1461no—
1196C22⋊Q8—1461no—
1197C22⋊Q8—1461no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201#121—731no—
1202#121—731no—
1203#121—731no—
1204#121—731no—
1205#121—731no—
1206#121—731no—
1207#121—731no—
1208#121—731no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#121—1461no—
1215#121—1461no—
1216#121—1461no—
1217#121—1461no—
1218#121—1461no—
1219#121—1461no—
1220#120—1461no—
1221#120—1461no—
1222#120—1461no—
1223#120—1461no—
1224#120—1461no—
1225#120—1461no—
1226C4×Q8—21no—
1227C4×Q8—21no—
1228C4×Q8—731no—
1229C4×Q8—731no—
1230C4×Q8—731no—
1231C4×Q8—731no—
1232C4×Q8—731no—
1233C4×Q8—731no—
1234C4×Q8—1461no—
1235C4×Q8—1461no—
1236C4×Q8—1461no—
1237C4×Q8—1461no—
1238C4×Q8C22×D7311yescharacteristic
1239C4×Q8C22×D7311yescharacteristic
1240C4×Q8C22×D7311yescharacteristic
1241C4×Q8C22×D7311yescharacteristic
1242C4×D4—21no—
1243C4×D4—21no—
1244C4×D4—731no—
1245C4×D4—731no—
1246C4×D4—731no—
1247C4×D4—731no—
1248C4×D4—731no—
1249C4×D4—731no—
1250C4×D4—731no—
1251C4×D4—731no—
1252C4×D4—731no—
1253C4×D4—731no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4—1461no—
1261C4×D4—1461no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4C22×D7311yescharacteristic
1273C4×D4C22×D7311yescharacteristic
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276#117—731no—
1277#117—731no—
1278#117—731no—
1279#117—731no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286#117—1461no—
1287C2×C4⋊C4—21no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—731no—
1290C2×C4⋊C4—731no—
1291C2×C4⋊C4—1461no—
1292C2×C4⋊C4C22×D7311yescharacteristic
1293C2×C4⋊C4C22×D7311yescharacteristic
1294C2×C22⋊C4—21no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C42—21no—
1298C2×C42—731no—
1299C2×C42—731no—
1300C2×C42—1461no—
1301C2×C42—1461no—
1302C2×C42C22×D7311yescharacteristic
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107—731no—
1308#107—731no—
1309#107—731no—
1310#107—731no—
1311#107C22×D7311yescharacteristic
1312#107C22×D7311yescharacteristic
1313#107C22×D7311yescharacteristic
1314#107C22×D7311yescharacteristic
1315#106—731no—
1316#106—731no—
1317#106—731no—
1318#106—731no—
1319C4⋊C8—731no—
1320C4⋊C8—731no—
1321C4⋊C8—731no—
1322C4⋊C8—731no—
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103C22×D7311yescharacteristic
1334#103C22×D7311yescharacteristic
1335#103C22×D7311yescharacteristic
1336#103C22×D7311yescharacteristic
1337#102—731no—
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102—731no—
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102C22×D7311yescharacteristic
1354#102C22×D7311yescharacteristic
1355#102C22×D7311yescharacteristic
1356#102C22×D7311yescharacteristic
1357C22⋊C8—731no—
1358C22⋊C8—731no—
1359C22⋊C8—731no—
1360C22⋊C8—731no—
1361C22⋊C8—731no—
1362C22⋊C8—731no—
1363#97—731no—
1364#97—731no—
1365#97—731no—
1366#97—731no—
1367#97C22×D7311yescharacteristic
1368#97C22×D7311yescharacteristic
1369#97C22×D7311yescharacteristic
1370#97C22×D7311yescharacteristic
1371C4×C8—731no—
1372C4×C8—731no—
1373C24—21no—
1374C24—1461no—
1375C24—1461no—
1376#41—2924no—
1377#41—2924no—
1378#41—2924no—
1379#41—2924no—
1380#41—2924no—
1381#41—2924no—
1382#41—2924no—
1383#41—2924no—
1384#41—2921no—
1385#41—1464no—
1386#41—1462no—
1387C2×Q8—21no—
1388C2×Q8—22no—
1389C2×Q8—41no—
1390C2×Q8—2924no—
1391C2×Q8—2921no—
1392C2×Q8—731no—
1393C2×Q8—731no—
1394C2×Q8—1461no—
1395C2×Q8—1461no—
1396C2×Q8—1461no—
1397C2×Q8—1461no—
1398C2×Q8—1462no—
1399C2×Q8—1461no—
1400C2×Q8C23×D7311yescharacteristic
1401C2×Q8C23×D7311yescharacteristic
1402C2×D4—22no—
1403C2×D4—21no—
1404C2×D4—41no—
1405C2×D4—2924no—
1406C2×D4—2924no—
1407C2×D4—2924no—
1408C2×D4—2921no—
1409C2×D4—2921no—
1410C2×D4—731no—
1411C2×D4—731no—
1412C2×D4—731no—
1413C2×D4—731no—
1414C2×D4—731no—
1415C2×D4—731no—
1416C2×D4—1461no—
1417C2×D4—1461no—
1418C2×D4—1461no—
1419C2×D4—1461no—
1420C2×D4—1461no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1462no—
1432C2×D4—1462no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4C23×D7311yescharacteristic
1436C2×D4C23×D7311yescharacteristic
1437C22×C4—21no—
1438C22×C4—21no—
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—21no—
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—44no—
1445C22×C4—2924no—
1446C22×C4—2924no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4—1461no—
1465C22×C4—1461no—
1466C22×C4D4×D7311yescharacteristic
1467C22×C4D4×D7311yescharacteristic
1468C22×C4C23×D7311yescharacteristic
1469SD16—22no—
1470SD16—22no—
1471SD16—22no—
1472SD16—2921no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—1462no—
1477SD16—1462no—
1478SD16—1462no—
1479SD16—1462no—
1480SD16#1192402814yescomplemented
1481D8—2921no—
1482D8—2921no—
1483D8—1462no—
1484D8—1462no—
1485M16—2921no—
1486M16—1462no—
1487C2×C8—22no—
1488C2×C8—41no—
1489C2×C8—2921no—
1490C2×C8—731no—
1491C2×C8—731no—
1492C2×C8—731no—
1493C2×C8—731no—
1494C2×C8—1462no—
1495C2×C8C23×D7311yescharacteristic
1496C2×C8C23×D7311yescharacteristic
1497C2×C8C23×D7311yescharacteristic
1498C2×C8C23×D7311yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—731no—
1506C4⋊C4—731no—
1507C4⋊C4—731no—
1508C4⋊C4—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4C23×D7311yescharacteristic
1537C4⋊C4C23×D7311yescharacteristic
1538C4⋊C4C23×D7311yescharacteristic
1539C4⋊C4C23×D7311yescharacteristic
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—731no—
1545C22⋊C4—731no—
1546C22⋊C4—731no—
1547C22⋊C4—731no—
1548C22⋊C4—731no—
1549C22⋊C4—731no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C42—21no—
1576C42—21no—
1577C42—21no—
1578C42—21no—
1579C42—731no—
1580C42—731no—
1581C42—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—1461no—
1586C42—1461no—
1587C42—1461no—
1588C42—1461no—
1589C42—1461no—
1590C42D4×D7311yescharacteristic
1591C42D4×D7311yescharacteristic
1592C42C23×D7311yescharacteristic
1593C42C23×D7311yescharacteristic
1594C23—21no—
1595C23—21no—
1596C23—42no—
1597C23—42no—
1598C23—81no—
1599C23—2922no—
1600C23—2922no—
1601C23—2922no—
1602C23—2922no—
1603C23—5841no—
1604C23—5841no—
1605C23—731no—
1606C23—731no—
1607C23—1461no—
1608C23—1461no—
1609C23—1461no—
1610C23C2×D4×D7311yescharacteristic
1611Q8—21no—
1612Q8—21no—
1613Q8—21no—
1614Q8—42no—
1615Q8—2922no—
1616Q8—2922no—
1617Q8—2922no—
1618Q8—2922no—
1619Q8—2922no—
1620Q8—1462no—
1621Q8—1461no—
1622Q8—1461no—
1623Q8C2×#1192402812yescomplemented
1624D4—21no—
1625D4—21no—
1626D4—21no—
1627D4—42no—
1628D4—2922no—
1629D4—2922no—
1630D4—2922no—
1631D4—2922no—
1632D4—2922no—
1633D4—2922no—
1634D4—2922no—
1635D4—2922no—
1636D4—2922no—
1637D4—2922no—
1638D4—2922no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—5841no—
1643D4—5841no—
1644D4—5841no—
1645D4—734no—
1646D4—1462no—
1647D4—1462no—
1648D4—1461no—
1649D4—1461no—
1650D4—1461no—
1651D4—1461no—
1652D4—1461no—
1653D4—1461no—
1654D4C2×#1192402812yes—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—41no—
1665C2×C4—42no—
1666C2×C4—42no—
1667C2×C4—42no—
1668C2×C4—42no—
1669C2×C4—42no—
1670C2×C4—42no—
1671C2×C4—42no—
1672C2×C4—2922no—
1673C2×C4—2922no—
1674C2×C4—2922no—
1675C2×C4—2922no—
1676C2×C4—2922no—
1677C2×C4—2921no—
1678C2×C4—2921no—
1679C2×C4—2922no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2922no—
1686C2×C4—2922no—
1687C2×C4—731no—
1688C2×C4—731no—
1689C2×C4—731no—
1690C2×C4—731no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—1462no—
1694C2×C4—1462no—
1695C2×C4—1461no—
1696C2×C4—1461no—
1697C2×C4—1461no—
1698C2×C4—1461no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4C2×D4×D7311yescharacteristic
1705C2×C4C2×D4×D7311yescharacteristic
1706C2×C4C2×D4×D7311yescharacteristic
1707C2×C4C2×D4×D7311yescharacteristic
1708C2×C4C2×D4×D7311yescharacteristic
1709C2×C4C24×D7311yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—1461no—
1714C8—1461no—
1715C8—1461no—
1716C8—1461no—
1717C8C2×#1192402812yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—22no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—84no—
1727C22—2921no—
1728C22—2921no—
1729C22—2921no—
1730C22—2921no—
1731C22—2921no—
1732C22—2921no—
1733C22—2921no—
1734C22—2921no—
1735C22—2921no—
1736C22—5844no—
1737C22—5844no—
1738C22—732no—
1739C22—1461no—
1740C22—1461no—
1741C22—1461no—
1742C22—1461no—
1743C22—1461no—
1744C22AGL(1,ℤ/8)×D7312yes—
1745C22C22×D4×D7311yescharacteristic
1746C4—21no—
1747C4—21no—
1748C4—21no—
1749C4—22no—
1750C4—21no—
1751C4—21no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—2921no—
1758C4—2921no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—732no—
1763C4—1461no—
1764C4—1461no—
1765C4—1461no—
1766C4—1461no—
1767C4—1461no—
1768C4C22×#1192402811yescharacteristic
1769C4#1798942311yescharacteristic
1770C2—22no—
1771C2—42no—
1772C2—81no—
1773C2—2921no—
1774C2—5841no—
1775C2—5841no—
1776C2—5841no—
1777C2—1462no—
1778C2D4×#1192402811yescharacteristic
1779C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1780C2#2262471411yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC2×#440×C73C2
socleC22×C73C23×D4
hypercenterC2×#440D73
hypocenterC73#61452
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. #22623548C2semidirect
2. D4×#11924028C2semidirect
3. #22622952C2semidirect
4. #22622853C2semidirect
5. #22622661C2semidirect
6. #22622650C2semidirect
7. #22622376C2semidirect
8. #22622367C2semidirect
9. #22622276C2semidirect
10. #22621957C2semidirect
11. #22621948C2semidirect
12. #22621927C2semidirect
13. #22621918C2semidirect
14. #22621792C2semidirect
15. #22621740C2semidirect
16. SD16×C22⋊D73C2semidirect
17. #22621428C2semidirect
18. #22621426C2semidirect
19. #22620646C2semidirect
20. #22620629C2semidirect
21. #22620625C2semidirect
22. #22620080C2semidirect
23. #22620073C2semidirect
24. #22620069C2semidirect
25. #22620053C2semidirect
26. #22620051C2semidirect
27. #22620028C2semidirect
28. #22618942C2semidirect
29. #22618736C2semidirect
30. #440×D73C2semidirect
31. C2×#440×C73C2semidirect
35. #17989313C22semidirect
37. #17989309C22semidirect
39. #17989278C22semidirect
41. #17989272C22semidirect
44. Q8×C22⋊D73C22semidirect
45. #17989249C22semidirect
46. #17989248C22semidirect
52. #17989238C22semidirect
60. #17989141C22semidirect
65. #17989124C22semidirect
67. #17989121C22semidirect
71. C4×#11924029C22semidirect
74. C4×Q8×D73C22semidirect
77. #17988996C22semidirect
78. #17988995C22semidirect
79. #17988991C22semidirect
80. #17988976C22semidirect
81. #17988973C22semidirect
82. #17988958C22semidirect
83. #17988952C22semidirect
84. #17988950C22semidirect
85. #17988948C22semidirect
86. #17988947C22semidirect
87. #17988936C22semidirect
88. #17988932C22semidirect
89. #17988924C22semidirect
90. #17988921C22semidirect
91. #17988917C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
94. #17988910C22semidirect
95. #17988902C22semidirect
96. #17988902C22semidirect
97. #17988900C22semidirect
98. #17988900C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988890C22semidirect
104. #17988887C22semidirect
105. #17988882C22semidirect
106. #17988882C22semidirect
107. #17988881C22semidirect
108. #17988880C22semidirect
109. #17988870C22semidirect
110. #17988866C22semidirect
111. #17988866C22semidirect
113. #17988836C22semidirect
114. #17988834C22semidirect
115. #17988832C22semidirect
116. #17988830C22semidirect
117. #17988824C22semidirect
118. #17988823C22semidirect
119. #17988823C22semidirect
120. #17988822C22semidirect
121. #17988819C22semidirect
122. #17988816C22semidirect
123. #17988816C22semidirect
124. #17988813C22semidirect
125. #17988805C22semidirect
128. #17988802C22semidirect
129. #17988791C22semidirect
131. #17988787C22semidirect
132. #17988787C22semidirect
133. #17988786C22semidirect
134. #17988785C22semidirect
135. #17988785C22semidirect
136. #17988781C22semidirect
141. #17988735C22semidirect
142. #17988731C22semidirect
143. #17988727C22semidirect
144. #17988726C22semidirect
145. #17988726C22semidirect
146. #17988724C22semidirect
149. #17988715C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988700C22semidirect
154. #17988697C22semidirect
155. #17988690C22semidirect
156. #17988689C22semidirect
157. #17988689C22semidirect
160. #17988687C22semidirect
161. #17988686C22semidirect
162. #17988685C22semidirect
163. #17988685C22semidirect
164. #17988685C22semidirect
165. #17988685C22semidirect
168. #17988672C22semidirect
169. #17988669C22semidirect
171. #17988660C22semidirect
172. #17988660C22semidirect
173. #17988658C22semidirect
174. #17988658C22semidirect
175. C8×C22⋊D73C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988644C22semidirect
178. #17988642C22semidirect
179. #17988642C22semidirect
180. #17988628C22semidirect
181. #107×D73C22semidirect
183. #17988587C22semidirect
184. #103×D73C22semidirect
186. #17988539C22semidirect
187. #97×D73C22semidirect
189. C2×C4×Q8×C73C22semidirect
195. #440×C73C22semidirect
196. #440×C73C22semidirect
197. #440×C73C22semidirect
198. #440×C73C22semidirect
199. C2×#107×C73C22semidirect
200. C2×#103×C73C22semidirect
202. C2×#97×C73C22semidirect
674. SD16×C73#41semidirect
724. Q8×C73C2×#41semidirect
765. C22⋊D73AGL(1,ℤ/8)semidirect
822. C8×C73C2×#41semidirect
921. C2×#440D73semidirect
922. C73#61452semidirect
967. C2×C4×Q8C2×D73semidirect
1065. #440C2×D73semidirect
1066. #440C2×D73semidirect
1067. #440C2×D73semidirect
1068. #440C2×D73semidirect
1084. C2×#107C2×D73semidirect
1088. C2×#103C2×D73semidirect
1093. C2×#97C2×D73semidirect
1480. SD16#11924028semidirect
1623. Q8C2×#11924028semidirect
1717. C8C2×#11924028semidirect

Maximal subgroups

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

subgroupindex
#226235482
D4×#119240282
#226229522
#226228532
#226226612
#226226502
#226223762
#226223672
#226222762
#226219572
#226219482
#226219272
#226219182
#226217922
#226217402
SD16×C22⋊D732
#226214282
#226214262
#226206462
#226206292
#226206252
#226200802
#226200732
#226200692
#226200532
#226200512
#226200282
#226189422
#226187362
#440×D732
C2×#440×C732
#6145273